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6 Mathematical Utilities
Signals and Systems contains, in addition to the transforms and analysis tools already described, a variety of functions that are best described as "mathematical utilities". Some of these are essential signal processing operations such as convolution and correlation. Others are utilities for dealing with certain mathematical constructs such as Smith forms of sampling matrices.
6.1 Convolution and Correlation
One of the most widely used mathematical tools in signal processing is convolution. Signals and Systems provides convolution routines for both continuous and discrete signals. It also provides visualization techniques for convolution by way of the "flip-and-slide" technique.
Currently, only time-domain convolution techniques for one-dimensional functions are defined.
Functions to perform convolution.
Convolution is formally defined for continuous functions as
For discrete functions, the integration is replaced by a summation.
The routines optimize this computation in various ways for piecewise functions and sampled data.
First, verify that the signal processing functions are available.
The continuous convolution of two truncated exponentials can be calculated symbolically.
In[2]:=DiscreteConvolution[ Exp[-a n] UnitStep[n], Exp[-b n] UnitStep[n], n]
We can plot the result with particular decay constants substituted. Note that we used discrete functions, which leads to a different result at zero compared to the continuous case.
In[3]:=DiscreteSignalPlot[%/.{a -> .5, b -> .9}, {n, -1, 6}]
Remember from Chapter 3 that the piecewise data types can be converted into functions by the application of Normal.
The Hilbert transform can be defined in terms of a convolution. Here is the Hilbert transform of a unit-width pulse function centered at zero. Normal is used to convert the piecewise data type to a formula.
In[4]:=Normal[ContinuousConvolution[ -1/(Pi t), ContinuousPulse[1, t + 1/2], t]]
Here is a sampled data object representing a noisy signal.
In[5]:=data = SampledData[ Table[Sin[x] + Random[Real, {-0.2, 0.2}], {x, 0, 2 Pi, .1} ], n];
We can plot the signal to understand its characteristics.
In[6]:=DiscreteSignalPlot[data, {n, 0, 60}]
This convolution acts to smooth the data.
In[7]:=newdata = DiscreteConvolution[ data, SampledData[{0.1, 0.2, 0.4, 0.2, 0.1}, n], n];
We can easily observe the effect on the signal.
In[8]:=DiscreteSignalPlot[newdata, {n, 0, 60}]
The convolution routines allow functions with purely symbolic endpoints for the intervals to be convolved. This simple example convolves two pulses of identical unknown length, and different unknown offsets. Specifying symbolic endpoints can lead to very complex output, and should be used with care.
In[9]:=DiscreteConvolution[ DiscretePulse[a, n + o1], DiscretePulse[a, n + o2],n]
Options for convolution.
The convolution functions take only one option. The Justification option determines whether an animation detailing the graphic "flip-and-slide" technique for convolution will be displayed. This method of visualization can be particularly useful in understanding the output. Various graphics and animation options can also be specified. These additional options are passed through to the animation routines, but take their defaults from the AnimateContinuousConvolution and AnimateDiscreteConvolution functions. Note that for SampledData objects in a discrete convolution, a faster vector convolution routine is used that ignores the Justification option. If you wish to create an animation of such a convolution, you will need to convert the data into a sum of DiscreteDelta functions and perform a symbolic convolution.
Functions for animating convolution by the "flip-and-slide" technique.
The functions for animating convolution do not return the mathematical result of the convolution. Instead, they return the frames of the animation, allowing the animation to be performed and modified programmatically if necessary. All the standard graphics and animation options are available to these functions. The defaults set for these functions are those used by ContinuousConvolution or DiscreteConvolution when Justification -> All. The functions also have one additional option called ConvolutionPausedFrames. Several frames of the animation (the comparison of the functions to be convolved, the starting position, and the ending position) are generated multiple times to produce a pause when the animation is running. The ConvolutionPausedFrames option takes a number indicating how many frames should be generated for each of these pauses.
This demonstrates the output available from the Justification option of the convolution functions or the convolution animation functions. A three-unit-long ramp function is being convolved with a pair of superimposed pulses that is five units long.
In[10]:=AnimateContinuousConvolution[ t ContinuousPulse[3, t], ContinuousPulse[5, t] + ContinuousPulse[2, t], t, DisplayFunction -> Identity, ConvolutionPausedFrames -> 1, PlotStyle -> {{Hue[0]},{Hue[0.3]},{Hue[0.6]}}, Frames -> 8];
Functions for autocorrelation.
The standard autocorrelation functions in Signals and Systems are based directly on the convolution routines. Autocorrelation is essentially the convolution of a function with the same function reversed in time.
Here is the autocorrelation of a simple continuous pulse.
In[11]:=ContinuousAutocorrelation[ ContinuousPulse[4, t], t]
We can directly display the resulting function.
In[12]:=SignalPlot[%, {t, -5, 5}]
The autocorrelation functions accept the same options as the convolution functions.
Functions to perform cross-correlation.
Cross-correlation is implemented in essentially the same fashion as autocorrelation; that is, it calls the convolution routines fairly directly, and supports any options that the convolution routines support.
This computes the cross-correlation of a short ramp and a single cycle of a sine wave. The output is relatively complex, and suppressed to save space.
In[13]:=ans = DiscreteCrosscorrelation[ n DiscretePulse[10, n], Sin[Pi n/4] DiscretePulse[8, n],n];
We can plot the result quite easily. Re is used to eliminate small complex-valued portions introduced by numerical computation.
In[14]:=DiscreteSignalPlot[Re[ans], {n, -10, 10}]
Note that Mathematica Version 4 has fast vector convolution routines available as built-in system functionality. For some applications, you may wish to use this instead of the Signals and Systems symbolic convolution routines.
6.2 General Operations
There are a wide variety of general mathematical operations employed in signal processing algorithms. Signals and Systems makes a number of these available for direct use. A special focus on matrix manipulation employed in multidimensional decimation routines is documented in the next section. This section documents other general math functions.
Set and Interval Functions
Operations on sets and intervals are related in principle. Signals and Systems does not rely heavily on this connection, but does provide some functions that deal with this domain of mathematics. The most important is that for determining the nonzero support of a signal as an interval.
Functions for working with intervals.
The NonZeroExtent function is applied internally by many functions. The nonzero portion of a signal is known as its support. This function attempts to determine the smallest interval that encompasses all nonzero intervals of the input function in terms of a given variable. The interval is one-dimensional, though it may be in terms of other variables. There may be zero-valued intervals in the returned interval. The interval is expressed as a pair of numbers, or as None if the signal is zero everywhere. If the interval cannot be determined, it will be assumed to range from -Infinity to Infinity.
The signal given here has an open-ended positive interval.
In[15]:=NonZeroExtent[Sin[x] UnitStep[x], x]
The signal may be discrete. The returned interval may contain zero-valued areas.
In[16]:=NonZeroExtent[ DiscretePulse[4, -n - 3] + DiscretePulse[4, n - 3], n]
Here is the support of a rotated two-dimensional pulse, which is a nonseparable signal. Note the dependency of the resulting interval on the second variable.
In[17]:=NonZeroExtent[ EvaluateOperators[ RotateSignal[Pi/4, {t1, t2}][ ContinuousPulse[{3,2},{t1,t2}] ] ],t1]
The extent of a signal with no nonzero component is given as None.
In[18]:=NonZeroExtent[0, t]
The extent of a delta function is given at a point; the interval's endpoints are identical.
In[19]:=NonZeroExtent[ DiracDelta[t - 3], t]
Functions for working with sets.
SetExclusion is a set-theoretic function equivalent to the complement of the union of the sets and the mutual intersection of the sets.
Here is the exclusion of three sets of integers.
In[20]:=SetExclusion[{1,2,3}, {3,4,5}, {6,3,7,8}]
Number-Theoretic Functions
Signals and Systems contains several number-theoretic functions. One context in which these are used is that of computations involving Smith form matrices. (Functions directly involving Smith form matrices are detailed in the section on matrix operations.)
Functions related to number theory in Signals and Systems.
BezoutNumbers[, , ... ] returns a list of integers (whose length is equivalent to the number of inputs to the function) that fulfills the formula
For two arguments, this is equivalent to the standard function ExtendedGCD. Note that solutions are not unique.
Here are the Bezout numbers corresponding to three integers.
In[21]:=BezoutNumbers[14, 24, 7]
The EuclidFactors function is closely related to BezoutNumbers. Given integers k, p, and q, you can use EuclidFactors to find {a, b} such that a p + q b == k. The integers p and q must be relatively prime. The solution will be found in a set of integers of length Min[p, q]. The inputs p and q may also be integer matrices of identical size, and k an integer vector, in which case the output will be integer vectors. In this case EuclidFactors is useful in the determination of coset vectors.
These are Euclid factors of two integers.
In[22]:=EuclidFactors[6, 7, 4]
Here the computation involves integer matrices.
In[23]:=EuclidFactors[ {3,2}, {{1,2},{3,4}}, {{5,3},{2,3}}]
The function RelativelyPrimeQ is a boolean test that determines whether the two inputs are relatively prime, that is, containing no common prime factors. The inputs may be integers, polynomials, or square integer matrices (resampling matrices).
Here are two integers that are not relatively prime.
In[24]:=RelativelyPrimeQ[9, 42]
Here are two polynomials that are relatively prime.
In[25]:=RelativelyPrimeQ[x^2 + 2, x - 3]
When resampling matrices are being compared, you must choose whether the divisor is on the left or the right side, since matrix multiplication is noncommutative. This is done with the option MatrixFactor, which can be Left or Right. Left is the default value.
These two matrices are relatively prime on the left.
In[26]:=RelativelyPrimeQ[ {{1, -2}, {3, 1}}, {{4, -3}, {5, 5}}]
However, they are not relatively prime on the right.
In[27]:=RelativelyPrimeQ[ {{1, -2}, {3, 1}}, {{4, -3}, {5, 5}}, MatrixFactor -> Right]
Special Polynomials
Functions generating particular polynomials.
The Bessel polynomials can be useful in certain filter design computations. These polynomials can be defined in terms of a recursion relation, B[n_, s_] := (2 n - 1) B[n - 1, s] + s^2 B[n - 2, s], with B[0, s_] := 1 and B[1, s_] := s + 1. It is equivalent to truncating a continued fraction expansion of the unit delay Exp[-s]. Because the roots of this polynomial are quite useful in design computations, a function that specifically generates the roots of this polynomial for a given order is also available.
Here is the third-order Bessel polynomial.
In[28]:=BesselPolynomial[3, x]
These are the roots of the eighth-order Bessel polynomial.
The rational Chebyshev polynomial is the basis for the response of analog elliptic filters. In Mathematica notation, the magnitude-squared response can be written
1 / ( 1 + E^2 RationalChebyshev[n, , L, w]^2 )
where and L are dependent upon the filter parameters and the transition ratio. The function requires an integer argument for the order, and will return a function that is the ratio of two polynomials in the given variable.
Here is the third-order polynomial with specific values set for the parameters.
In[30]:=RationalChebyshevPolynomial[3, 2., 5., x]
Here is a plot of the square of the polynomial for particular values of the parameters. Note the use of Evaluate so the polynomial is computed only once, with values substituted into the result. This improves the plotting performance in this case.
In[31]:=Plot[Evaluate[ RationalChebyshevPolynomial[5, 1.3, 207.1, x]^2 ], {x, -5, 5}, PlotPoints -> 100]
The polynomial referred to as ZPolynomial is defined as Product[- n - k, {k, 0, m - 1}] for the discrete variable n and integer order m. It has the special property under the Z transform that the product of this polynomial and a function is equivalent to z^m D[F[z], {z, m}] (where is the Z transform of ).
Here is the third-order polynomial.
In[32]:=ZPolynomial[3, n]
Here we see the property of the Z polynomial under the Z transform.
In[33]:=ZTransform[ ZPolynomial[3, n] f[n], n, z, TransformPairs -> {f[n] -> F[z]}]
Polynomial and Rational Function Manipulation
Functions for manipulating polynomials and rational polynomials.
The GetRootList function numerically finds roots of the input polynomial, and returns them in a convenient list form.
Here are the roots of the fourth-order Bessel polynomial.
In[34]:=GetRootList[ BesselPolynomial[4, x],x]
PartialFractionsDecomposition performs a partial fraction decomposition on the rational polynomial that is given as input. This is more general than the standard Apart function.
For some arguments, PartialFractionsDecomposition is very similar to Apart.
In[35]:=PartialFractionsDecomposition[ (a - b)(b - a)/((a + x)(b + x)), x]
However, it will work for a wider variety of computations, particularly those involving complex numbers or radicals.
In[36]:=PartialFractionsDecomposition[ 1/(x^2 + 2), x]
ScalingFactor returns the greatest common divisor of the coefficients of powers of the specified variable when they appear as a discrete sum of terms in the input expression. This sort of computation is useful for the similarity property of transforms.
The parameter a appears as a common factor in the terms of this polynomial.
In[37]:=ScalingFactor[ 3 a x^2 + a^2 x + a b x^4, x]
Complex Numbers
Operations to find the symbolic magnitude and phase of expressions.
The usual Mathematica functions Abs and Arg are inert when applied to symbolic expressions; they do not attempt to simplify out the expression in terms of the imaginary and real parts of symbols in the expression. However, application of ComplexExpand can be used for this purpose. The functions Magnitude and Phase make this easy by calling ComplexExpand for you. All symbols not given in the second argument are assumed to be real-valued. Symbols that should be considered complex-valued are placed in a list as the second argument to these functions.
Mathematica does not automatically simplify this expression.
In[38]:=Abs[Exp[I Pi t]]
Magnitude can be used instead.
In[39]:=Magnitude[Exp[I Pi t]]
The variable is assumed to be real.
In[40]:=Phase[Exp[I Pi t]]
6.3 Matrix Operations
There are a variety of operations on matrices that are especially relevant to multidimensional signal processing. In particular, operations on resampling matrices are useful in the design of multidimensional decimation systems and filter banks.
A few definitions will be particularly useful for this section.
A resampling matrix is a square nonsingular integer or rational matrix. It can be employed in a mapping of the integer lattice.
Unimodular matrices are matrices whose determinant is , , or . Regular unimodular matrices have determinants that are or . Resampling matrices that are unimodular can be used to shuffle an underlying signal lattice without introducing upsampling or decimation.
A lattice is an infinite set of discrete -tuples in an -dimensional Cartesian space that forms a group under vector addition. That is, given a set of vectors (that correspond to the columns of an by resampling matrix), all tuples in the lattice can be found by a linear combination of those vectors. The integer lattice is the set of all integer tuples. A sublattice is a lattice contained within another lattice.
Given a sublattice characterized by a sampling matrix in the integer lattice, a coset is a copy of the sublattice formed by shifting by an integer vector. A coset vector is vector from the origin to a point in a coset. There are distinct (nonintersecting) cosets in the integer lattice; the distinct coset vectors are a set of coset vectors, one per each coset, that can be used to identify the cosets. The distinct coset vectors all lie within the fundamental parallelepiped of the sampling matrix. The distinct coset vectors can be used to enumerate a block of samples for resampling.
General Matrix Manipulation
Some of the matrix operations in Signals and Systems are applicable to wider classes of matrices than resampling matrices.
General matrix operations.
The DiagonalMatrixQ function is a straightforward identifier of diagonal matrices. It returns True if the matrix is a square matrix with nonzero elements only on the diagonal, and False otherwise.
This matrix is diagonal. There are no constraints on what the diagonal elements may be.
In[41]:=DiagonalMatrixQ[ {{z, 0, 0}, {0, 0.5, 0}, {0, 0, 3/2}}]
The NormalizeSamplingMatrix function can be used to turn general rational matrices into matrices with integer elements. For square matrices, this operation results in resampling matrices. However, the operation will work on matrices that are not square. The input matrix must have rational numbers as its elements. The result is a pair of matrices, the first of which is diagonal, and the second of which is an integer matrix.
Here is a 3 by 2 rational matrix.
In[42]:=mat = {{1/4, 4, 3}, {2/6, 1, 7}};
Now we normalize the matrix.
In[43]:=NormalizeSamplingMatrix[ mat]
The normalized matrix can be derived by taking the product of the inverse of the diagonal matrix and the original matrix.
In[44]:=Inverse[First[%]] . mat === Last[%]
Hermite matrices are integer triangular matrices. The function returns both the regular unimodular matrix that performs the pivoting to produce the triangular matrix, and the triangular matrix that results. ColumnHermiteForm produces an upper triangular matrix, while RowHermiteForm produces a lower triangular matrix. These functions only operate on integer matrices.
Here is a 3 by 3 integer matrix.
In[45]:=mat = {{2, 3, 1}, {6, 3, 2}, {1, 5, 1}};
Here are the permutation matrix and the lower triangular matrix.
We see that the lower triangular matrix is derived by a matrix multiplication of the original matrix and the permutation matrix.
In[47]:=mat . First[%] === Last[%]
While the matrix needs to have integer elements, it does not have to be square. However, the unimodular matrix that is derived will be square.
In[48]:=ColumnHermiteForm[ {{2, 6}, {3, 3}, {1, 2}}]
Resampling Matrix Operations
Functions to determine information about resampling matrices.
It is useful to be able to determine the characteristics of various matrices. ResamplingMatrix determines whether a matrix is a resampling matrix. If it contains symbolic elements such that it could be a resampling matrix, the function returns a logical expression denoting the conditions on the symbolic components required to make the matrix a resampling matrix. RegularUnimodularResamplingMatrixQ returns True if the matrix is a regular unimodular resampling matrix, and False otherwise. The CommutableResamplingMatricesQ function returns True if the two matrices used as inputs are commutable when the first is treated as a downsampler and the second as an upsampler, and False otherwise.
Here is a regular unimodular resampling matrix.
In[49]:=mat = {{1,1},{1,2}};
The inverse of such a matrix is also a regular unimodular resampling matrix.
In[50]:=RegularUnimodularResamplingMatrixQ[ Inverse[mat]]
Another characteristic of these matrices is that when used as a downsampler, they are commutable with its inverse used as an upsampler, and vice-versa.
In[51]:=CommutableResamplingMatricesQ[ mat, Inverse[mat]]
When given a square matrix with symbolic components, ResamplingMatrix will return the conditions on those components required to make the matrix a resampling matrix. Otherwise, it returns True or False.
In[52]:=ResamplingMatrix[ {{a, b}, {c, d}}]
Functions for finding common multiples and divisors of resampling matrices.
A number of mathematical operations can be performed on resampling matrices. A common operation is to determine common divisors and multiples of such matrices. Because matrix multiplication is not commutable, these operations divide into determining right and left multiples (and divisors). These divisors and multiples are also resampling matrices. They are not, however, unique; they may be multiplied (on the right for right multiples or left divisors, and on the left for left multiples or right divisors) by regular unimodular resampling matrices to obtain other common multiples or divisors. A regular unimodular resampling matrix plays much the same role that does in determining greatest common divisors of integers. Computationally, the GCLD is related to the LCRM, and the GCRD and LCLM are derived by a dual algorithm.
Here is the greatest common left divsor of two matrices.
In[53]:=GCLD[ {{3,2}, {1,4}}, {{8,1}, {3,2}}]
Here is the least common left multiple of two matrices.
In[54]:=LCLM[ {{3,2}, {1,4}}, {{8,1}, {3,2}}]
Operations on resampling matrices.
In general, a resampling operation can be represented not only by an integer matrix, but a rational nonsingular square matrix. Such an operation is equivalent to a cascaded upsampling and downsampling operation by integer matrices. FactorResamplingMatrix allows you to convert a rational resampling matrix into normal integer resampling matrices. Since it is the inverse of the resampling matrix that is used in upsampling operations, FactorResamplingMatrix returns that inverse.
Here is a rational resampling matrix factored into the inverse of an upsampling matrix and a downsampling matrix.
In[55]:={invupsamp, downsamp} = FactorResamplingMatrix[ {{3/2, 3/5}, {6/7, 8}} ]
We see that we can get back the original matrix by application of matrix multiplication.
In[56]:=invupsamp . downsamp
The resampling matrix corresponding to the upsampler is the inverse of the matrix that FactorResamplingMatrix returns.
An resampling matrix corresponds to an -dimensional signal processing operation. Each diagonal element is equivalent to an operation within a particular dimension, while the elements off the diagonal apply to coupling between the dimensions. An operation is separable only if the matrix is diagonal. In some situations when using Signals and Systems, it is useful to associate symbolic variables with each dimension. The ReorderResampling operation provides a way to reorder a resampling matrix based on those symbolic names. Given a matrix with a corresponding list of variables for each dimension, a permuted list of those variables can be given which will cause ReorderResampling to swap rows and columns to match the new variable positions. It returns the reordered matrix, the original variable list, and the reordered variable list.
Here is a reordering of a second-order matrix, corresponding to a two-dimensional operation.
In[58]:=ReorderResampling[ {{1, 2}, {3, 4}}, {a,b}, {b,a}]
Although this operation is intended for resampling matrices, it will work on arbitrary square matrices. Here is a permuted symbolic 3 by 3 matrix representing a resampling matrix.
In[59]:=ReorderResampling[ {{a, b, c}, {d, e, f}, {g, h, i}}, {n1, n2, n3}, {n3, n2, n1}]
To understand the ResamplingMatrixMod and DistinctCosetVectors functions, it may be useful to review the definitions at the start of this section. DistinctCosetVectors returns a list of Abs[Det[matrix]] distinct coset vectors for the lattice corresponding to an input resampling matrix. ResamplingMatrixMod of a vector and resampling matrix is defined as v - S . Floor[Inverse[S] . v]. The result will be a distinct coset vector.
There can be only one distinct coset vector for a regular unimodular resampling matrix. This vector will always be {0,0}.
In[60]:=DistinctCosetVectors[ {{1, 1}, {2, 1}}]
This resampling matrix (which corresponds to a quincunx downsampler) has three distinct cosets.
In[61]:=DistinctCosetVectors[ {{1, 1}, {2, -1}}]
Here is the modulus of a vector with respect to the resampling matrix used in the previous example.
In[62]:=ResamplingMatrixMod[ {23, 32}, {{1, 1}, {2, -1}}]
Smith Form Matrices
Function for computing various Smith form matrices.
It is useful in many design situations to be able to perform computations on a multidimensional signal processing operation by separating the variables. When speaking of operations expressed as resampling matrices, a system with which you can separate the variables is written as a diagonal matrix. If elements off the diagonal are nonzero, the system is not separable. For an arbitrary resampling matrix, it is possible to decompose it into the product of a regular unimodular resampling matrix, a diagonal (separable) resampling matrix, and another unimodular resampling matrix. The resampling matrices essentially reshuffle elements of the key matrix, and the diagonal matrix performs the signal processing task. This form of decomposition is called Smith decomposition, and the resulting triad of resampling matrices is the Smith form of the original resampling matrix. The decomposition is usually expressed as , with and being the unimodular matrices, and being the diagonal matrix.
The Smith form of a matrix is not unique, as there are many more degrees of freedom in the new matrices than the original matrix. Signals and Systems provides ways of computing several variant Smith forms meeting different criteria by setting the options of SmithFormDecomposition.
The Method option is the main control over what variant of the decomposition is performed. When set to Normalized, the standard Smith form is computed. The algorithm is based on that used in Integer and Mixed Programming: Theory and Applications, by Arnold A. Kaufmann and A. Arnaud Henry-Labordere (Academic Press, 1977). Ordered rearranges the elements on the diagonal to be positive and in ascending order. Reduced generates a matrix where each element on the diagonal is a factor of the succeeding element. It is based on processing the ordered form. The equalized form is computed by Method -> Equalized, in which the elements on the diagonal are made to be as close to each other in value as possible. This routine is based on an algorithm by Brian L. Evans, Jürgen Teich, and Ton A. Kalker.
Here is the Smith normal form of a resampling matrix.
In[63]:=mats = SmithFormDecomposition[ {{1, 2, 3}, {3, 4, 1}, {-1, 3, 2}}]
We can check that the matrices produced have the characteristics we desire.
In[64]:={RegularUnimodularResamplingMatrixQ[#1], DiagonalMatrixQ[#2], RegularUnimodularResamplingMatrixQ[#3]}& @@ mats
We can also check that the product of the decomposition still forms the original matrix.
In[65]:=newmat = Dot @@ mats
Here is the ordered form of the same matrix. For small matrices, the Smith normal form will be close to that of the ordered form, and the ordered form will usually be identical to the reduced form.
In[66]:=SmithFormDecomposition[ newmat, Method -> Ordered]
The equalized form is quite different, however. The elements on the diagonal will usually not be identical, but they will be much closer than with the original Smith form. This modified form is useful in the design of multidimensional filter banks. Note that minimization must be used to get the standard definition of the equalized form. This option is explained in more detail below.
In[67]:=SmithFormDecomposition[ newmat, Method -> Equalized, MinimizeType -> FrobeniusNorm]
The matrix product of the equalized decomposition is still that of the original matrix.
In[68]:=Dot @@ %
If given a rational matrix, a variation of the Smith form called the Smith-McMillan form can be calculated. The computation is performed by multiplying the matrix elements by the least common multiple of the denominators of the rational elements. This forms an integer matrix which is then used in the computation of the Smith form. The diagonal matrix which results is divided by the multiple, forming a separable rational matrix.
A Smith-McMillan form can be computed from a rational matrix.
In[69]:=SmithFormDecomposition[ {{1/2, 3/4}, {2/5, 1/3}}]
Options for Smith form decomposition.
The Justification option is much the same as in other functions from Signals and Systems. It can take the values None, Automatic, and All, which causes information about the steps being taken in the computation to be printed.
Here we see the pivots taken in the computation of a Smith form of this matrix.
In[70]:=SmithFormDecomposition[ {{4, 3}, {2, 5}}, Justification -> Automatic]
The Method option we have already seen in action. It is the switch for the various types of Smith forms included.
Additional variants of the Smith form can be computed by use of the MinimizeType option. Two forms of minimization, FrobeniusNorm and LeastSquares can be employed to minimize the unimodular matrices in the Smith form.
MinimizeType -> FrobeniusNorm attempts to minimize the regular unimodular matrix or in the sense of its Frobenius norm. You choose which of these should be minimized by setting the MinimizeSide option to Left or Right, respectively. The default is Left. The algorithm perfoming this minimization computes the Smith form based on a lattice-reduced form of the input matrix (computed via the standard function LatticeReduce).
Here is the Smith form generated with a minimized Frobenius norm for the right unimodular matrix .
In[71]:=SmithFormDecomposition[ newmat, MinimizeType -> FrobeniusNorm, MinimizeSide -> Right]
The LeastSquares type of minimization will try to construct the Smith form with the chosen side as close to an identity matrix as possible (in a least-squares sense). Again, use the MinimizeSide option to choose whether it is the left or the right resampling matrix that is to be minimal.
Here is a decomposition.
In[72]:=SmithFormDecomposition[ {{2, 1}, {3, 5}}]
This is the result when the left matrix is minimized in the least-squares sense.
In[73]:=SmithFormDecomposition[ {{2, 1}, {3, 5}}, MinimizeType -> LeastSquares]
Decomposing a matrix based on a precomputed Smith form.
In some situations, it is useful to be able to compute the Smith form for one matrix based on using the same or unimodular matrix from another Smith form decomposition. The function ConstrainedSmithFormDecomposition attempts to do this with the specified precomputed Smith form decomposition.
Here is a Smith form decomposition of the ordered type.
In[74]:=decomp = SmithFormDecomposition[ {{1, 2},{4, 3}}, Method -> Ordered]
This attempts to decompose the second matrix assuming that the matrix of the two decompositions are identical. The new decomposition is not a Smith form, as seen by the False that appears in the answer.
In[75]:=ConstrainedSmithFormDecomposition[ decomp, {{5, 1},{6, 2}}]
The right shuffling matrix for the second decomposition was not unimodular. Hence, a valid Smith form did not result.
In[76]:=RegularUnimodularResamplingMatrixQ[ %[[2, 3]]]
Note that the decomposition generated is still correct in that the matrix product of the decomposition corresponds to the original matrix.
The option for ConstrainedSmithFormDecomposition.
We can also attempt to constrain the decomposition by presupposing the right resampling matrices to be identical.
In[77]:=ConstrainedSmithFormDecomposition[ decomp, {{5, 1},{6, 2}}, MatrixFactor -> Right]


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I realize that "crime" is a strong term to apply to the "family" of Democrats named herein, but, what else can be said of people such as these who manage, however gleefully and cunningly with smiles and booming voices, to wrangle trillions of dollars from other people based upon a declaration of alarming needs of their own determination after first creating the conditions that caused the needs themselves? Call it what it is: crime, by a family of individuals sharing a goal, participating in a variety of processes toward that goal, profiting in those processes and in and by that shared goal.
Of all sources to present the awful truth about one of those family members — Rahm Emanuel — THE CHICAGO TRIBUNE provides a series of articles with hardcore facts: what Emanuel manipulated and how and how these escapades by Emanuel set the loopey foundation for the housing and financial horrors that developed afterward.
Worse, that structural foundation is still loopey, the horrors are present and ongoing — "still in development" — and the Democrats (Emanuel, Obama and others among them) continue to do a garbage-dance-of-denial as to their involvement in these horrors.
In fact, they are the "greedy" (just use any one of Barack Obama's pejoratives he uses to refer to anyone, except himself and peers, for this problem, such as "bankers" or "Wall Street" or "Bush" or "previous Administration," etc. — any of them actually apply to Barack Obama, Rahm Emanuel, the Democratic Party and various donors to and participants with all of those), this "crime family" is them though they are trying to convince others as to who is responsible, explaining only that this various nefarious activity (not theirs!) is why it is that the U.S.A. now needs to (dire circumstances! Laughs on Jay Leno! Dire, emergency, terrible! Laughter and applause!) jello-down into Obamity Land amidst the Pelosi Swamp.
No, it's Barack Obama who launched the process of "skin color coercion upon financial institutions" with his lawsuit years ago against Citi in Chicago, which Citi folded before and began the home-mortgage scams, at Obama's demands, based upon dark-skin-color and not based upon credit worthiness — Obama rewarded jello-legged Citi for being jello-legged with an active spot on his [and Emanuel's] Administration, among other choice but crooked cups.
And this is the process that began the "housing/financial meltdown" or so it's been called since: Barack Obama, while working with the dubious organization, ACORN, sued Citibank in Chicago, Illinois, to demand they begin providing home mortgage loans to people not based upon credit-worthiness (their ability to repay a loan):
…and he won because Citibank caved rather than experience "bad publicity" in Chicago and nationwide due to the "racial" characteristics of the Barack Obama lawsuit — Obama cited "Black" people as deserving of loans irregardless of credit worthiness.
Which began the terrible tumble — call it a fall off a roof with mortal complications because that's what it was and remains — in the housing-financial markets, with financial groups attempting to regroup losses by reselling derivatives after suffering increasing defaults on the quirky, financially-irrational lending practices that Barack Obama ushered in by leverage-of-the-threat-of-lawsuits.
His entire assumption appears to have been — as the Democrats' is and continues to be — that the American taxpayers will and have to subsidize or be held responsible for other people's mortgages (if and as the people considered are of a certain racial type that's not White, not Conservative, not professional and not Democrats), or else. When lenders lose money on mortgages, they try to make-up their losses by other strategies; the Left, however, coerces losses based upon the assumption that they will have the American taxpayers to drain afterward: the Left never assumes their responsibility for their part in scams, crimes and coercive financial gains because they rely on emotional pejoratives to blame their accusers and emotional agitation of Democrats accordingly: it's rarely Conservatives who "riot" (if ever, actually).
It is a surprise to read that THE CHICAGO TRIBUNE would be printing these candid reports on the "activities" of Rahm Emanuel, but, to their credit, they are doing so.
One of those allegedly asleep-at-the-switch board members was Chicago's Rahm Emanuel — now chief of staff to President Barack Obama — who made at least $320,000 for a 14-month stint at Freddie Mac that required little effort.
As gatekeeper to Obama, Emanuel now plays a critical role in addressing the nation's mortgage woes and fulfilling the administration's pledge to impose responsibility on the financial world.
Emanuel's Freddie Mac involvement has been a prominent point on his political résumé, and his healthy payday from the firm has been no secret either. What is less known, however, is how little he apparently did for his money and how he benefited from the kind of cozy ties between Washington and Wall Street that have fueled the nation's current economic mess.
Though just 49, Emanuel is a veteran Democratic strategist and fundraiser who served three terms in the U.S. House after helping elect Mayor Richard Daley and former President Bill Clinton. The Freddie Mac money was a small piece of the $16 million he made in a three-year interlude as an investment banker a decade ago…(read the full article).
Related links
Freddie Mac scandals began on Emanuel's watch
Graphic: Emanuel's rise, time at Freddie Mac
From the Tribune archives: The House Rahm Built
MY EARLIER POSTS, related:
THERE WILL BE PROPAGANDA: "Emanuel Was Director Of Freddie Mac During Scandal"

subset: commoncrawl


text:
RE: [mythsoc] Need help remembering a title SF
Expand Messages
- Yes, that's them !! Thanks David & Wendell.
Elizabeth Apgar Triano
amor vincit omnia
lizziewriter (at) optonline.net & yahoo.com
(closing earthlink account soon)
<http://www.lizziewriter.com/> www.lizziewriter.com (See my ad in
Contemporary Doll Collector magazine)
From: email@example.com [mailto:email@example.com] On Behalf Of
Sent: 2005¦~6¤ë11¤é 8:35 PM
To: email@example.com
Subject: Re: [mythsoc] Need help remembering a title SF
In a message dated 6/11/2005 4:18:04 A.M. Eastern Standard Time,
dbratman@... writes:
My guess (since I haven't read them myself) is: The Ballad of Beta-2/Empire
Star, by Samuel R. Delany.
The blurb for _The Ballad of Beta-2_ says ". . . Joneny, a student of
galactic anthropology, is given the assignment of finding the meaning behind
ballad of a starship lost centuries before." The blurb for _Empire Star_
". . . Comet Jo, the cat-bodied star-wanderer . . . meets, in his travels:
the Lump, a half-alien, half-machine; Ni Ty Lee, the suicidal poet of the
the strange multiple consciousness called Jewel . . ." Does any of that
sound familiar? I haven't read it either. My copy (from 1965) isn't in
format. It's just one story after the other in a single paperback.
Wendell Wagner
[Non-text portions of this message have been removed]
- In a message dated 6/12/2005 10:28:23 A.M. Eastern Standard Time,
lizziewriter@... writes:
.... as for the flip-flop issue, it is entirely likely that I am merging
memories of other titles which did do that with this one which I guess did
not. Didn't Lion of Comarre and Against the Fall of Night do that?
It may be that there was a flip-flop edition in the 1960's. My copy is from
the 1970's. The copy you read may be from the 1960's.
Wendell Wagner
[Non-text portions of this message have been removed]
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text:
Not just for weekends: Brooklyn's best weekday brunch spots
It's a universally acknowledged truth that brunch is just about the best thing ever. But all those eggs, pancakes and unlimited mimosas are usually only available on Saturday and Sunday mornings (or, err, afternoons?), and if you're like me, a wonky weekend work schedule might be keeping you from all the fun. But have no fear, Brokesters, because we found a whole bunch of weekday brunch spots in Brooklyn that serve frittatas, and occasionally even bloodys on the weekdays, just for you! Food Baby Tuesday, anyone?
Café Ghia
24 Irving Ave, Bushwick, 718-821-8806
Daily brunch, 10 am-4:30pm
This Bushwick brunch spot will feed your hangover with $7 Bloody Marys and $10 tomato sauce-tossed baked eggs all week. They've also got whipped cream topped Belgian waffles, $9, vegan scramble with kale and tofu, $10, and $3 bottomless coffee that'll keep you from crashing into a Wednesday afternoon food coma. Plus, weekday happy hour starts at 4pm, so you can seamlessly transition from breakfast to heavy boozing. Bon appetit!
79 5th Ave, Park Slope, (718) 622-2250
Daily brunch, 10 am-4pm
We've extolled Miriam's virtues before, and for good reason. They've gone ahead and added brunch daily, so feel free to fill up on $14 Challah bread croquet madames, Mediterranean omelets, pancakes, pita and burekas every day of the week. There are also tasty salads, eggs and Israeli-style sandwiches a la carte for recessionistas looking to keep the tab down. No alcohol, sadly, but all entrees come with complimentary coffee.
135 N. 5th St, Williamsburg, 718-302-5151
Daily breakfast, 7am-6pm
Egg is notorious for long weekend brunch lines, but you can avoid the wait by showing up on a weekday morning (or late-afternoon!) instead. Fill up on farm-fresh breakfast staples like biscuits and gravy, $11, Eggs Rothko, $10, or hearty pancakes sprinkled with Vermont syrup, $9. The menu also offers a number of meats and grains, either as side dishes or under $10 breakfast bites. French-press coffee runs $3 a cup, and there are $8 mimosas to give your meal a little kick. (Egg's new sister restaurant, Parish Hall, is delicious too!)
261 Moore St, Bushwick, 718-417-1118
Weekdays opening at 11am
Roberta's might have Michelin-starred pizza, but they've also got a killer brunch. Dishes can be a little pricey–a very stellar porchetta dish with fried eggs and kale runs $19, for instance–but $9 bacon, egg and cheeses on potato rolls and $12 pumpkin french toast are wallet-friendly and delicious. You can also order any pizza dish off the menu. Plus, they serve Stumptown, Blue Bottle and Brooklyn Roasting Co. coffee, and have a solid cocktail menu at all hours.
293 Van Brunt St, Red Hook, 347-223-4135
Wed-Sun 10am-4pm
(Note: home/made is currently rebuilding after Sandy, but that doesn't change how much we loved their food. So help 'em out if you can, and then you can see what we loved about it)
This little Red Hook nook is closed Mondays and Tuesdays, but they do serve an awesome brunch and lunch the rest of the week. Locally-sourced egg dishes like smoked salmon and dill scramble are $9.75 each. So is french toast with sauteed seasonal fruit, and a healthy granola parfait runs $9.50. You can get tea and unlimited coffee for $3; mimosas ($8) and kir royales ($9) are also on the menu.
The Farm on Adderley
1108 Cortelyou Road, Ditmas Park, 718-287-3101
Daily breakfast 9am-3pm
This Ditmas Park eatery serves locally-sourced brunch meals on Saturdays and Sundays, but it's also a prime dining spot for hearty, budget-friendly weekday breakfasts. Check out $7 cheddar cheese-sprinkled farm omelets, poached eggs and polenta for $9, and quiche with smoked bacon, also $9. If you're looking to start your day off with a little more meat, go ahead and spring for $12 sausage and eggs (worth it!). Unfortunately, bloodys and mimosas are just for the weekend brunch set, but you can wash breakfast down with fresh apple cider, $4, or an old-timey Fentiman's ginger beer, $3.
352 Bedford Ave, Williamsburg, 718-782-0910
Daily brunch 9am-5pm
Dinner at Rabbithole can be a bit costly, but the belt-tightening brunch is a great deal. Inventive omelets, like one with salmon, capers and chive cream cheese, run $10 to $11, while the stellar stuffed French toast with strawberry marsepone is only $9, as is the eggs Benedict with spiced bacon.
Related Articles
A guide to the best dim sum in Sunset Park
Last chance to vote in Dime Best of Brooklyn competition
Bloody good: The top 10 Bloody Marys in Brooklyn
The best and brokest BBQ in Brooklyn
Obvious omission: Tom's in Prospect Heights!
Are you guys kidding me? These are good deals? What flyover cul-de-sac are you guys from? do they charge you extra for takeout for the food stuck in your red beards?
your comment is boring and so are you.
Seems like you have a red beard Tim, now THAT is boring.
so then why are you talking about it? Who cares?
Of course you'd find Pat's comment boring, Dim. It's obvious that to generate any interest from your weak, degenerate waste of a generation topics need to be limited to things like "whisker wars" or "artisanal monocles"… The rest of us normal, pragmatic, hard-working New Yorkers are anything but bored when a whole race of bearded losers insult us by saying that brunching on $7 bloody marys is "budget-friendly"
you see, this is why you guys are so dreeaaaaaaadfully borrrrrring: it's like you're spewing the same buzz words from the DieHipster sentence generator machine like some sort of Chinese spam bot stuck in 2004. I know it would take all of 5 minutes to actually read our site, but I'd hate to ask you to maybe be informed about the things of which you speak, which might cause your head to explode with information. Then again, I'd love to see how you can come up with a way to hate Brokelyn's top posts of the year, which were all related to ways to help Sandy victims. But I'm sure that's something you'd say "real" New Yorkers don't care about, right?
"do they charge you extra for takeout for the food stuck in your red beards?" That's the kind of pro-business idea and attitude we need at City Hall. Have you thrown your hat in the mayoral race yet?
10$ Bacon and Egg sandwich? Disgusting. It's shameful to see how a place as culturally rich and authentic as Brooklyn has been diluted by these soulless cafes and coffee shops. Pathetic.
Ms. Fishbein, this is terrible. "…weekday happy hour starts at 4pm, so you can seamlessly transition from breakfast to heavy boozing."
Perhaps you, and those who are on staycation, can have breakfast at three in the afternoon, but the real world is working at this time. If they are not working, they with their families, and the late-shifters are sleeping.
Commentary like this is the reason people do not like the "hip" set.
Actually cuz, plenty of young people in Brooklyn work in retail or the service industry, which means things like calling Tuesday and Wednesday your weekend if you're lucky enough to get two straight days off. So it's not so much a staycation as it is, y'know, your day off. Sorry it's not real enough for you.
fuck this website and fuck all the transplants who read into this fake shit.
Thanks for reading!
This is a joke, right? Eggs for $10 bucks? You've got to be kidding! I'd rather walk to my corner bagel store and get eggs, bacon, cheese on bagel for $3.75, or grab an egg sandwich at the street vendor for $2, or visit Dunkin Donuts for a #2 special of 2 donuts and a tea for $3-something. You're ripping people off with these prices. The food lin the pictures looks disgusting. I'd rather eat at a normal diner and pay normal prices. To all people reading this who want to save money, go to the fruit stand and get a banana for a quarter. Or visit your local convenience store deli. Skip this overpriced, over-hyped food.
Yes but the difference is – the $3.75 eggs/bacon/chz bagel sucks, and probably is loaded with shite ingredients from the industrialized food world. Plus youre not relaxing in a restaurant setting, or one that also sucks. Youre comparing to Dunkin Donuts? You dont realize that not everyone just devolves to the lowest common denominator in things? Some people actually have taste, and it might be more develo
I also love how much people praise their slavery. Some people arent willing to do what corporate america wants all the time, and do outlandish things like avoid work like the plague. Some people would rather spend all their money on $10 sandwiches that are fucking awesome and just chilling out, rather than just hustle 24/7 so you can fund your hustling.
Have fun working all the time so you can thoroughly enjoy your McDonald's fries.


text:
Results 1 to 2 of 2
11-24-03, 00:14 #1Registered User
- Join Date
- Nov 2003
- Posts
- 6
Unanswered: Inserting from a Delimited String Parameter
I want to pass the values in 2 parameters as follows and then do inserts from each value:
@List1 varchar(100),
@List2 varchar(100)
@List1 = (1,2,3,4,5)
@List2 = (20,25,30,50,60)
I basically want to do an insert with each corresponding element in the list.
i.e. While x < elements + 1
Insert into Mytable (Value1, Value2) Values (List1-element x , List2-element x)
My questions are: How do iterate though each List and do an insert based on each element? There will be equal number of elements in each list. Also, the numbers above have no relation to each other.
Any examples would be great. By the way, the While above is just pseudocode for what i want - i am not familiar with the exact syntax.
11-24-03, 01:34 #2Registered User
- Join Date
- Feb 2002
- Posts
- 2,232


text:
ArchiveCategory Archives for "Product Reviews"
Be it Yoacher or Atom we provide well researched reviews about the top Longboard brands. Our research team is experienced and loves Longboarding too much.
Be it Yoacher or Atom we provide well researched reviews about the top Longboard brands. Our research team is experienced and loves Longboarding too much.
Looking for the best longboard to purchase this Black Friday 2017? Whether you are a first-time buyer or not, you will find it hard to make the right choice because the options can be overwhelming. We do not want your money to be put into waste. We also do not want you to make a […]Continue reading
Yocaher is a name that pops up every time you are talking about the best Longboard brands. The Chino, the California-based company, was started way back in 1975. It would not be wrong to say that they have been an integral part of the evolution of longboards. As such, Yocaher Longboards Brands has a long […]Continue reading
Maneuvering on this one is great, especially when the trucks are a bit loose, but that's the case with all of them longboards. There is nothing special about this board, but maybe it's the simplicity that makes this a great first board for a learner. Benefits & Advantages of this Board Great Grip Tape with […]Continue reading
Try Atom Drop Deck Long board for enhanced downhill and cruising experience. It is one of the perfect long boards which offer great service at an amazing price. This board has nice turning and carving power which entertains you whilst riding downhill. Its low deck gives you the ease to push it making you to […]Continue reading
Longboards evolved from the interbreeding of skateboarders and speed-maniacs. The resulting longboards then changed into various shapes and sizes. One of them was the Drop-Through design that really got off in the 90s. Atom has taken their time to perfect a Drop-Through Longboard that is stable at high speeds and provides a satisfying experience for […]Continue reading
Longboarding is a fun thing to do. No matter what your age or occupation. It is tough to choose a longboard that satisfies all the needs of different longboard styles. It is even harder to make a longboard that does so. However, Atom Longboards managed this unfathomable task with some oomph in the new Atom […]Continue reading
Longboard Enthusiasts are very familiar with the Santa Cruz range of boards. They have a good fan following to say the least. More than anything else, Santa Cruz Longboards are best known for the impressive artwork that goes into making them. Home to the Screaming Hand, Santa Cruz have tried to attract the fans of […]Continue reading
When it comes to Longboards, Sector 9 are the undisputed and unrivalled leaders regarding quality and popularity. They can give any other brand a run for their money in whatever category you compare them. Sector 9 Blue Wave lookout drop through Complete Longboard is one such longboard. It is an intermediate longboard regarding the price range […]Continue reading
Racing down the hills tempts every rider and Yocaher is a signature brand in offering the best long boards. Products of this brand offer supreme comfort for unbeatable riding, cruising and strolling downhill. Designed for professional riders, this long board is just wonderful for all who want greatest speed with comfort. Just kick turn on […]Continue reading
Longboards have come a long way and has made a heroic entry in the realm of skateboards and longboards. Designed especially for those people who want to reach their workplaces as soon as possible, longboards are an idyllic choice. Today in this sector nine longboard review, I would like to jot down some important things […]Continue reading


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Super Cute Vol. 2 Trailer (2014)
03 November 2014 139 mins
Award winning adult entertainment studio, Hard X, is proud to announce "Super Cute Vol. 2" featuring the return of porn superstar Mia Malkova! Also, starring Keisha Grey, in a rare IR scene, hot newcomer Carmen Caliente, and Aidra Fox, in an unforgettable intense anal sex scene. Watch these adorable young stars in relentless hardcore action. "Super Cute Vol. 2" is directed by the award winning Mason.
Watch the official Super Cute Vol. 2 2014 trailer in HD below.


text:
Welcome to my music page! Click on the "Buy CD" links to make a purchase, or call 1-800-BUY-MY-CD (1-800-289-6923). CD Baby handles all online and phone orders for CDs.
Uncrowded Sky
|The Promised Land
There'll be no more crying, only laughter Lyrics
There'll be nothing that we cannot have
There'll be no more pain, but only pleasure
In the promised land
There'll be no more questions, only answers
There'll be nothing we don't understand
In the highly-favored ever after
In the promised land
Are you hoping for it? Barely coping for it?
Are you waiting for life to be over for it?
Are you paying for it with today?
Somewhere in the hoping, something's given
Which knows nothing of a future plan
Somewhere in the dying and the living
Is the promised land
In the hellish heat and healing water
In a heavy heart and open hand
Is creation kissing it's creator
Is the promised land
Are you hoping for it? Barely coping for it?
Are you waiting for life to be over for it?
Well I hope you're ready for it
'Cause it's here
|Captain of My Life
I've stood at starboard bow Lyrics
Thinking how beautiful the waves
I've lingered at the stern
Where I have yearned to return the way I came
I have toiled down below
In the dark and cold
When these hands were made to row
I've been atop the mast
Holding fast and looking out ahead
But I've been unconcerned
And never learned where this ship was led
Now on every side I see
What I've never seen
Such a storm surrounding me
This ship could be going down
And I see no sign of ground
Will I be, before I drown
The captain of my life?
I can do many things
And many things I've done since I began
But fear has sailed with me
And crippled me from taking the command
Now despair is in the hold
As the water rolls
Fear is waiting for my soul
|Wasting Time
Autumn day, misty haze hangin' in the sky Lyrics
Fresh out of bed, the day ahead is cluttering my mind
Coffeed and deodorized, and I'm out the door
I get a funny feeling that I've been through this before
Like a finely tuned machine manufacturing the day
Careful not to let a wandering thought get in they way
Returning home, all alone, a couple prime time shows and then
Back in bed, and soon, I dread, I'm gonna do it all again
I earn my keep and mange to live fairly comfortably
And I make my contribution to our great society
I take every advantage, I spend wisely every dime
And I may rest, but my life don't have room for wastin' time
Autumn night, firelight dancing' on my eyes
Steppin' to the songs I sing on weathered railroad ties
Skippin' stones off steel to watch the sparks cut through the night
And my two best friends in the world are walkin' by my side
There really is no reason for this party thrown for three
Our one qualification is it's where we want to be
No topic or agenda, and no way to deny
We ain't achieving or producing, we must simply wastin' time
And who's to say no profit will result from this ordeal?
I'm a richer man by plenty if you judge by how I feel
And if time could be well wasted and thoughts could be well spent
And friendship is a gift to share, then I can be content
If your life gets busy and you can't find time for you
And people don't care who you are as long as they like what you do
Find a precious friend or two and your favorite place to be
Or make it to the railroad, and you can waste some time with me
|Why Pay Your Money
I made my money and I took it to the driving-fast man Lyrics
I said I would like to be driving just as fast as I can
I need some speed and I need to be bad
I need to win respect that I never had
Why pay your money for what does not satisfy?
I took my new car and I drove it to the looking-good man
I said "please make me more attractive than the person I am"
He sold me some muscles and he shaved down my nose
Then got me fitted in some really neat clothes
Why pay your money for what does not satisfy?
Now I am driving, I'm finally arriving
Now I am looking really very good
Now I am wondering what else to be buying
I took what I had left and I gave it to the happiness man
I said I would like to be happy, as happy as I can
He said, "boy, why did you come to me last?"
Then he just smiled and he handed it back
And he said
"Why pay your money for what does not satisfy?"
|Gitchi Gummi
Are you saying that the sky is wide? Lyrics
Are you saying that the sunlight likes to play
Upon your waves?
Are you saying that the time goes fast?
Are you saying that my life won't last too long
Before I'm gone
Gitchi Gummi, Gitchi, Gitchi Gummi
Is there something that you're saying to me?
You look a little bit like God almighty
Such a frightening thing
Keep on talking to me Gitchi Gummi
I need a measure of your holy mystery
Take me to your shore
Set me down and pour
Your mighty water over me
Are you saying I don't know too much,
But if I don't know the earth is such a jewel
I'm such fool?
And are you maybe staring back at me
Saying I am made of earth and water too?
I'm just like you
|Uncrowded Sky
No, no, no, can't let go Lyrics
I love them so
So I sung when I was young
Of all the things to have and hold
I'd gather them around me
Cling to them and cry
"Don't lift me up!
Don't lift me up!"
Important names, exciting games
All began to seem the same
I got bored and wanted more
And when I asked, you gave and gave
"Take them all away from me!"
Has now become my cry
"And lift me up
Lift me up
To uncrowded sky"
No, no, no, truth be told
I can't see you any more
This stuff of mine, a mountain high
Keeps my eyes from meeting yours
Ceaseless expectations
Are all my life's about
Lift me up, lift me up
Where did you, the giver go?
I am buried in this hole
With a fortune for a grave
And who'd believe I'd find you there
In such simplicity of air?
I used to dream of mighty me
Floating on a self-made sea
Success and fame, my middle names
Claiming what's mine rightfully
Beneath this cluttered ocean
Of all my answered cries
Now I dream of you and me
And uncrowded sky
|Peter, Peter
Where I'm from, we don't think of dying Lyrics
We see his face and our feet are flying
To the place where the walls are made of things
We lock the door and ignore our fearing
While his eyes, through the wall, are peering
And now and then, one of us will start to sing
Peter, don't you miss my number
Where it's written in your golden ledger
Peter, don't you miss my number now
Peter, see that you will know me when
I come to call at the gates of heaven
Peter, don't you miss my number now
Where I'm from, we don't see the old ones
Put their lives in a place where no one
Has to see such a horrifying thing
But where they live, the walls are falling down
You can see the light and you can hear the sound
Of the song an astounding number sing
|Right on Down the Line
The sun is hiding in the misty morning Lyrics
Soon you'll see it shine
And further on it will be lowering
Right on down the line
Six o'clock and the whistle blows
The old conductor smiles
Another day to keep on rolling
Right on down the line
Don't fear change
It's not to be afraid of
Welcome strange
It's the stuff that life is made of
Do you believe in a life of motion
Changing all the time?
And do you plan to keep on growing
Right on down the line?
If you think you're standing still
It's only in your mind
Look out the window and you'll see you're moving
Right on down the line
It's not about not living long in
The places that you choose
It's just about not hanging on when
You're only passing through
You're only passing through
Other trains, they stop or slow or they
Leave some folks behind
But everybody's riding this one
Right on down the line
Six o'clock and the whistle blows
The old conductor smiles
Another day to keep on rolling
Right on down the line
|Walk with a Lighter Touch
The earth will be going Lyrics
Before we know it
Throw down your guns, people
We've already won the battle for survival
Do we know what we are walking on?
Do we know what we all live upon?
Can we walk with a lighter touch
And live with a wiser love?
Enchanting blue magic
Is this little planet
And blessed are we, people
Blessed to be here upon it
Take up that love, people
We've only begun the battle for survival
|Evil Be Gone
I am a child and I'm pretty smart Lyrics
But I'm just a little afraid of the dark
Sometimes I have to go outside at night
Out to the back yard, where there is no light
When I step out the door
And I can't take one step more
Because I am too much afraid
It's then that I've been taught to say
Evil be gone
After I say it, I open my eyes
Then I take a deep breath and step out in the night
It's still dark around me, I still walk real slow
But it makes me feel better, like I'm not alone
And Mom and Dad say it's true that
Sometimes they say it, too
So it shouldn't make me feel strange
To say, every time I'm afraid
Evil be gone
Mayer needs no gimmicks... Mayer stands out as a truly talented artist with a higher sense of purpose..His lyrics are carefully constructed, unmistakable heartfelt and always thought-provoking.
-Minneapolis Star Tribune
-Minneapolis Star Tribune


text:
$12,840 CARFAX Value
No Accident or
Damage Reported
No accident or damage reported to CARFAX
CARFAX 1-Owner
Purchased on 09/16/14 and owned in FL until 03/15/16.
Rental Use
Driven an estimated 21,752 miles/year.
Service History
Last serviced in Atlantic Beach, FL on 11/06/17 • Pre-delivery inspection completed • Oil and filter changed


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HO-Scale E-Z Track Remote Right Hand Switch by Bachmann
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This product was added to our catalog on November 29, 2010.This is a Bachmann HO-Scale E-Z Track Steel Remote Right-Hand Switch. This is the basic turnout of the E-Z Track system with a turnout radius matching 18" Radius Curved Track. If you have enough room, you may consider purchasing larger E-Z Track turnouts to allow for smoother transitions between tracks during switching operations, and to accommodate locomotives and rolling stock with longer wheel bases.


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West Bloomfield, MI WW/Press/May 4, 2016 – Vincent Lorelli, Partner and Attorney with Lorelli & Lorelli, was selected for inclusion in the forthcoming Top Attorneys of North America – 2016 edition of The Who's Who Directories.
The accomplishments and achievements attained by Mr. Vincent Lorelli in the field of Legal Services warrants inclusion into the Top Attorneys of North America. Vincent Lorelli has been a personal injury attorney for twenty-four years, while also representing individuals in criminal matters. Vincent received his J.D. from Wayne State University School of Law and was selected as one of the Top 100 Trial Lawyers in the country by the National Trial Lawyers Association. He is a member of the National Trial Lawyers, Michigan Association of Justice, and Macomb County Bar Association.
The Who's Who Directories, a New York based biographical publication company, distinguishes and profiles leading professionals who demonstrate recognizable success and leadership in their field. The directory is valued for promoting awareness of individual accomplishments and achievement within the North American community.
For more information:
Contact: editor as
Phone: 516-809-7221 ext. 100
Email Address: email@example.com


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Three skunks from the Rays Church Road area of Oconee County have tested positive for rabies, according to the Oconee County Health Department.
Health officials warned residents to take precautions to avoid rabies exposure. Pets, including dogs, cats and ferrets, should have current rabies vaccinations. People should also avoid any wild animal that exhibits unusual behavior such as aggression or fearlessness, or the daytime appearances of a nocturnal animal.
Any bites from wild animals should be reported to the local health department or animal control.
Published in the Athens Banner-Herald on Wednesday, December 18, 2002.
© 2017. All Rights Reserved. | Contact Us


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Beyond the staff Room – a rebrand (let's keep talking)
I have rebranded.
If you have been listening to my podcast over the last year, you have known it as "Eduthoughts." this is a word I made up, and it was ok, but i was never in love with it. i simply didn't have an idea i thought I could replace it with. over some time and consultation with many people I have settled on, "Beyond the Staff Room." This name i have fallen madly in love with right away! i feel like it greatly encompasses what I am trying to do in my podcast, and what i think should be regular part in education.
The currency of education is time. Everyone is in a rush, and no one ever has enough time. The school day is a fixed length, and we have a lot to do. if you are an educator then you have probably gotten into a great conversation in the staffroom. The one where a colleague share s a small win, where resistance allows to push thinking, where you get presented with an outlook you have never thought of before. these are so valuable. Unfortunately, they all end with the bell stopping the flow way before the conversation runs it's course.
Someone once told me, you can always make time for the things you value. I think these low pressure rambling conversations are valuable. i think they need to happen. this podcast is my tiny little contribution, to keep the conversation going, to allow educators a space to work through things they didn't even know they needed to work through. As guests on my podcast know, I do not prepare questions ion advance, or even themes. We meet, turn on the mics and talk. That might sound intimidating, but let me tell you, I don't think i have had any dead air yet. Educators need a space to talk, and this is one of them.
Thank you to everyone who has been listening to "Eduthoughts," and I hope you continue to listen to, "Beyond the Staff Room," and let's keep the conversation rolling!


text:
Penny Freeman
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I am very, very angry. We put so much work into this garden, we are both in our mid-70s. It's not as if we are bitter and twisted old so-and-sos.feedback
Apr 14 2017
Penny Freeman has most recently been quoted in an article called Grandma told by police to return footballs kicked into her garden- or she could be charged with theft. Penny Freeman said, "We like to get on with our neighbours. We are reasonable people and are parents ourselves.". Penny Freeman has been quoted a grand total of 2 times in 1 article.
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Papalambros and her team have learned that hearing pink noise (described here: https://en.wikipedia.org/wiki/Pink_noise) while sleeping can enhance sleep quality and memory performance the day after the pink noise is heard among older individuals. People 60 to 84 years old participated in the Papalambros lead study and the pink noise was coordinated with sleeping brain rhythms. Zhou, Liu, Li, Ma, Zhang, and Fang (2012) reported, more generally, that "steady pink noise has significant effect on reducing brain wave complexity and inducing more stable sleep time to improve sleep quality of individuals."
Nelly Papalambros, Giovanni Santostasi, Roneil Malkani, Rosemary Braun, Sandra Weintraub, Ken Paller, and Phyllis Zee. "Acoustic Enhancement of Sleep Slow Oscillations and Concomitant Memory Improvement in Older Adults." Frontiers in Human Neuroscience, in press.
J. Zhou, D. Liu, J Ma, J. Zhang, and J. Fang. 2012. "Pink Noise: Effect on Complexity Synchronization of Brain Activity and Sleep Consolidation." Journal of Theoretical Biology, vol. 306, pp. 68-72.


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The following organizations formed an alliance called the Corridor Business Alliance. The formation of the CBA group began in December 2008 and has evolved into the following vision, purpose and goals. Members include Alliant Energy, Cedar Rapids Area Chamber of Commerce, Entrepreneurial Development Center, Iowa City Area Chamber of Commerce, Iowa City Area Development Group, Kirkwood Community College, MidAmerican Energy, Priority One, Kirkwood's Small Business Development Center, The John Pappajohn Entrepreneurial Center at the University of Iowa, University of Iowa Research Foundation and University of Iowa Small Business Development Center.
Vision: To create a vital regional economy through the creation and growth of business.
Purpose: To improve and strengthen strategic collaboration among member organizations to achieve our collective vision.
Strategic Position Statement: To harness and leverage corridor resources to achieve our vision as well as to recruit and keep talent in the region.
In December 2009, the CBA hired Mike Langley, former CEO of the Allegheny Conference in Pittsburg to facilitate a strategic planning session. The result of the session was three strategic imperatives for the region with assigned leaders and a timeline.
1. Develop and implement a regional brand led by John Lohman with support from Curt Nelson and Pam York.
2. Achieve full flood recovery led by Chuck Peters and Mayor Ron Corbett.
3. Develop and implement a regional economic development strategy led by Barry Boyer, Mark Seckman, Scott Fisher and Joe Raso.
On May 17th, the CBA along with other important stakeholders will hold a "report out" meeting on the progress of the initiatives.


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Vacation Yo!
Yes, I just said yo. I'm excited. Sue me.
Watch the video to find out where I'm headed and to see my awesome dance moves. No really. They're awesome.
Shirt: H&M (similar here)
Skirt: Forever21
Necklace: Jcrew (similar here)
Hat: Forever21 (similar here)
Don't forget, Thursday starts an awesome giveaway (so stay tuned, or I'll have to dance some more.)
Labels: Dancing, Fedora, Forever 21, Full Skirt, Girls night out, H and M, JCrew, Miami, Polka Dots, Skills, Vacation


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Results 1 to 7 of 7
January 24th, 2006, 02:03 PM #1
The best
- Join Date
- December 15th, 2005
- Posts
- 19
What are some suggestions in developing a strong affiliate program?
January 24th, 2006, 05:21 PM #2
Read the ABestWeb forum threads - particularly the networks and in-house section + parasite info, to see what the main issues are. Most of it is in here.
Maybe too general an answer for you?
-Peter[URL=http://www.typoassassin.com/?utm_source=abestweb&utm_medium=forum&utm_content=p&utm_campaign=sig]Are these affiliates stealing from you?[/URL]
January 24th, 2006, 05:30 PM #3Originally Posted by kgordonPeace,
Loving Everyone's Child Creates Magic
January 24th, 2006, 06:49 PM #4
Hi Kgordon,
What the above posts said and then I will add.
Put yourself out there, let affiliates give you feedback, take that feedback and put it to work. If you haven't yet launched your program, ask members of this forum to review your site/products, to give you their thoughts on what you need to improve, offer, fix, change, etc.
Take the feedback, make those changes and improvements from the advice, and then roll your program out, you will then be ahead of the curve.Shawn - Nature Hills Nursery, Inc.
Contact Info: aol im: sms10221975 | shawn"at"naturehills.com | icq: 106-663-985
Join the Nature Hills affiliate program now | Earn 15% per sale | 365-day Cookie
January 24th, 2006, 06:57 PM #5
- Join Date
- December 15th, 2005
- Posts
- 19
Thanks for the information.
January 26th, 2006, 01:49 PM #6
Is there a way we can put our program/site/product out there for these experienced affiliates to critique w/o breaking any rules regarding self-promotion? I'd love to have some feedback from affiliates, for instance, before I launch an ad in the new announcement forum. I'd want to make sure I address the bulk of the questions/issues affiliates would have.
January 26th, 2006, 01:53 PM #7[URL=http://www.typoassassin.com/?utm_source=abestweb&utm_medium=forum&utm_content=p&utm_campaign=sig]Are these affiliates stealing from you?[/URL]


text:
APMNA will hold its 28th Annual Meeting on Thursday February 15th, 2018 in San Diego California, a day before AAD annual meeting. Registration and abstract submission will open in October, 2017.
For details or any questions mailto:email@example.com
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text:
The North West of England is one of the fastest growing UK regions, with economic diversity, an entrepreneurial spirit and huge industry growth across professional services and the media industry in particular.
Historically, the North West has been, and continues to be, a key region for industry and business, making it the home for a large number of wealthy individuals. The region is under the spotlight at the moment with the highly publicised Northern Powerhouse as well as seeing rapid growth in the commercial sector with areas such as Media City.
Arbuthnot Latham's North West office has been established to bring you a unique offering with your dedicated team who have many years' experience providing a personal service delivered to the highest possible standard.
With a regional office situated in the heart of Manchester, but with clients and a focus throughout the North West, at Arbuthnot Latham we recognise the importance of understanding your individual regional requirements. Having your Private Banker based locally enables them to have a better understanding and knowledge to help meet your wider financial requirements.
Your team in the North West offers Private Banking, 'whole of market' Wealth Planning, Investment Management and Commercial Banking to individuals and businesses. Our approach focuses on a highly personalised service that is adapted for client's individual requirements, helping them to achieve specific life goals, with the flexibility to adapt in the shorter-term, but build on their longer-term ambitions.
The team are well known in the local community with many trusted relationships already in place, bringing the knowledge and expertise which proves invaluable to clients.
We offer a full market service including Private Banking, Commercial Banking, Investment Management and Wealth Planning, where your experience is at the heart of everything we do.


text:
Skip to comments.Israel Police Moving to Level III Alert
Posted on 03/03/2004 10:37:13 AM PST by yonif
(IsraelNN.com) Israel Police tomorrow morning will be moving to a level III alert status ahead of the Purim holiday weekend. Police troops working with other security agencies will be deployed strategically around the country as part of the ongoing effort to prevent terror attacks.
A level III status is the highest level below a state of emergency.
Terror Alert in the Capital 19:57 Mar 03, '04 / 10 Adar 5764
(IsraelNN.com) Police have established checkpoints in the northern capital in response to terror warnings. Major delays are reported on the road from Hizme towards the French Hill area of the capital. There are also checkpoints operating in the center of town, also resulting in major delays.
A level III status is the highest level below a state of emergency.
So I guess that's equivalent to our Terror Level "Ernie"?
Guns Before Butter.
Here's the alert system.
Oh okay! You at grouch or tickle me stage? ;-)
No green is the lowest level, despite being Oscar the Grouch, Red is the highest level despite being that tickle me fellow.
But Elmo is so cute!
Why aren't bert and ernie pink and mauve? ;-)
Are you implying that they are gay? All this time I thought they were just two puppets that lived and bathed together.....
Well, you know...Sesame Street wouldn't be Sesame Street if it wasn't politically correct and had a token homo couple.
I'm shocked. Next you are going to tell me that Ernie's "Rubber Duckie" was some sort of condum metaphor.
Disclaimer: Opinions posted on Free Republic are those of the individual posters and do not necessarily represent the opinion of Free Republic or its management. All materials posted herein are protected by copyright law and the exemption for fair use of copyrighted works.


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Template >> Logo - Pixel Hive Logo 104005 by XpertgraphicD @ CreativeMarket
File Size: 1.6 MB; Vector: Yes.
Logo Description.
Very stylish, clean and modern logo template. This logo is fully vector graphic. This logo template can be used in jewelry related subjects.
Item Features.
- Very stylish, clear and modern logo template
- This logo is fully vector graphic
- CMYK logo
- Fully editable
- High 300 ppi
- Free font used (font name inside main file)
File Types.
- EPS file
- EPS version 10
- AI file
- PSD file
*** Mockup not included. For presentation purpose only. ***
Keywords: pixel, hive, hive pattern, hexagonal, diamond, jewelry, shop, pearl, colorful, sleek, shiny, professional, wedding, elegant, crystal, brand.


text:
Red cross 'at crisis point'
GOREY Red Cross is in crisis, and as it marks its 75th anniversary, it said this week it risks disbanding, unless new members come on board.
Just six members attended the organisation's AGM last week. 'Numbers-wise, we are in trouble,' admitted treasurer John Kavanagh. 'Only three people are currently trained and qualified to get into the ambulance, and we have three or four more basic first-aiders. It's reaching a crisis.'
'We have trained people up,' he added. 'But as soon as you get them trained, jobs come along and they have to leave.' He said that some of the same people have been involved for years, but 'no new members are coming in'. 'We said that if we don't manage to get new members in, we'll have to seriously consider where we're going in the future,' said John.
Gorey Guardian


text:
Empower Technologies ("Empower") (TSX.V: EPT) will introduce the EDK6446 Development Kit and Euler Embedded Software Platform at the Embedded System Conference Silicon Valley 2008. Empower Technologies will be exhibiting at the Embedded System Conference Silicon Valley 2008 on April 15 – 17, 2008 in McEnery Convention Center, San Jose, California, booth #2507.
EDK6446 Development Kit is an embedded system development tool to expedite product development and fast track product deployment into the field. Utilizing an extremely powerful dual-core embedded processor (with a 297MHz ARM9 core and a 594MHz DSP core), it is ideal for developers or manufacturers creating new applications in the fields of industrial handheld/tablets, security surveillance, wired/wireless media streaming, infotainment system in automobiles, portable navigation, and video telephony. Developers creating applications using the EDK6446 can fast track volume product manufacturing by purchasing the Single Board Computer SBC6441/SBC6443/SBC6446 directly from Empower with the operating software onboard.
Euler Embedded Software Platform is a new navigation system software technology featuring Navigon navigation software. It is made for navigation device developers, manufacturers and OEM/ODM'ers looking for ready made solutions. Euler, the world's most sophisticated features rich GPS device development platform, is highly customizable by the developers to have their own "Look and Feel."
About Empower Technologies(tm)
Founded in 2000, Empower Technologies (TSX.V: EPT) is an innovative company that brings the power and flexibility of the LEOs® (LinuxDA(tm) Embedded Operating System) to the dynamic embedded computing Industry and the emerging Intelligent Appliance Market, through their development of Linux-based operating software, embedded system technologies and solutions. The products and services that form the base of its business activities include an embedded system development platform for LEOs®, based on Texas Instruments(tm) embedded CPU platform, that fulfill the needs and demands of developers and the embedded computing Industry. Empower is continuing to develop LEOs® and newer versions of embedded CPUs in line with Texas Instruments. By uniting top professionals from within the computer industry and developing quality partnerships and strategic alliances, Empower is committed to being the leading developer of Linux-based operating software and embedded system technologies and solutions for electronics manufacturers and developers. Empower's brands are "LEOs®", "LinuxDA(tm)", Linux-based embedded operating systems and "PowerPlay(tm)", smart consumer electronics.


text:
I Helping Others
Personal Stories, Advice, and Support 86 People
Share Your Story.need help or someone to talk to? i like going on here to get help with my problems and i'd like to help others. if you ever need to vent or anything, ill listen to you and help you as best as i can. no matter what age, gender, ect. :) so message me! i wanna make some friends!
brittwit95 18-21, F 0 Sep 19, 2012
Helping OthersHelping others,I love it,Do it,When I can,Afterwards,I feel good,That's the reward,For helping someone.
lazycrazybasket 46-50, M 1 Response 1 Dec 14, 2011
Save One; Save AllEver since I joined EP. I've been helping others through my words and gift of empathy. So far it's been a rewarding experience. I have helped others moved on. I helped them solve complicated problems. Allowed them to vent towards me. I absorbed all of their emotions and...
Lushiro 22-25, M 15 Responses 18 Sep 18, 2012
My New Found Loveit really feel good to help others achieve more in life. especially by doing a little.
MugnnyNsereko 22-25, M 2 Responses 1 Sep 20, 2012
Helping Other Can Be FrustratingI get so frustrated some times. I moved a year and half to country really different from mine and im not really good at making friends, so it has been hard for me to adjust. The thing is, I love doing community service and helping others. I love seeing someone's smile and knowing...
Clauchis 18-21, F 0 Aug 24, 2013
I Love Helping People.......................A Lady was standing on a corner with a map in her hand and lookimg some what puzzled. "Serveral" people passedby, looked at her "but" did not stop. I looked at her "but" didnot stop. I wonde red why. I I think it may have been the way she was dressed. As I crossed the...
Anto815 46-50, F 2 Responses 0 Aug 17, 2010
Struggling With Bills Or In A Financial Bind?Hey, Have you heard about MCA? you can work from home even while on facebook. MCA is now hiring motivated individauls who will promote a great opportunity..with many benefits to you as a member..even better than AAA...$80 dollars paid to you everytime you add someone too your...
prodikal 26-30, M 1 Response 0 Sep 21, 2012
I Lost My Home And Now I Am Trying To Help Save Their HomePLEASE SIGN THIS PETITION It was no ordinary morning. Police arrived at 4am and broke down the door to Alejandra Cruz's family home with a battering ram. PNC Bank was trying to take her family's Minneapolis home after a bank error, and their friends and neighbors were in the...
ELFINSONG 56-60, M 11 Responses 11 Jun 25, 2012


text: I can only imagine how cool would my living room look with one of these works displayed in plain sight! Mozart Guerra, the author of these amazing pieces, is a Brazilian architect who has been working as set designer, while focusing in particular on his sculpting skills. His works are made out of expansive foam and rope and are absolutely breathtaking.


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30" - 32" TV/VideoMonitor Case
Below you will find our selection of 30"-32" monitor shipping cases.
Now Offering "2 in 1" Monitor Cases
If you don't find what you are looking for, please give us a call (614-274-7246).
We are a custom house and can manufacture any type of case you are looking for.
Common custom monitor cases we are asked to build are:
- different colors
- monitor and computer or media player in a single case
- light duty carrying case rather than a true shipping case.
We generaly find that there is not a huge increase in price on custom cases, so don't hesitate to inquire.
Mojave monitor case
- The Mojave monitor case is ideal for tradeshow and other professionals who ships via UPS, FEDEx, Common Carriers and LTL Truck
- Fits monitors with/without tablestand or wallmount bracket


text:
In a bid to entice car shoppers as industry sales rebound, Dodge plans a major marketing strategy in 2011, including advertising during the Super Bowl broadcast on Feb. 6, 2011.
In an e-mail obtained by Automotive News, Dodge CEO Ralph Gilles said he is grateful for the Charger and Durango orders, but the company could use "some extra love" on the Journey, Avenger and Caravan. In the e-mail, he urged dealers to order their allocations of 2011 vehicles.
Gilles added Dodge would launch marketing in Q1, including Super Bowl presence, with heavy Tier 1 multimedia spending.
Tier 2 will also increase based on the company's increased volume. The brand's U.S. sales are up 20 percent in 2010 through November to 351,285 units. Dodge is launching six new or revamped vehicles in 2011, more than any of Chrysler's other brands. The Challenger and Charger are restyled and re-engineered and the Durango SUV is new.
The Avenger, Grand Caravan and Journey also underwent major modifications. The vehicles are expected to arrive in dealerships this year, with volume launches taking place in the first quarter.
Dodge returned to the Super Bowl in 2010 after a five-year absence. Called "Man's Last Stand," that spot showed a sequence of resentful-looking men vowing to do various tasks, presumably for their wives, in exchange for driving the manly car they want: the Dodge Charger.
The ads featured the voice of Michael C. Hall, the lead actor of Showtime network series "Dexter." [via autonews - sub. required]


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Fans got a chance to pay their respects to Dave Williams, singer for DROWNING POOL, at a public funeral service yesterday (Sunday, August 18th) at the Plano Center in Plano, Texas. A smaller, more private viewing was also held for friends and family on Saturday evening from 6-9 PM Central Time.According to one of the people present at the viewing, Jeff Herbert of Madden Syndrome, "[Williams' DROWNING POOL bandmates] Stevie [Benton, bass], CJ [Pierce, guitars], and Mike [Luce, drums] are holding up as well as can be expected. A very somber occasion, for sure. "They had Dave done up right. He was wearing a PANTERA T-shirt, and the [DROWNING POOL] logo was engraved in the top of the casket. The logo was also embroidered on the inside of the lid. I cannot express how sad I was to see the remaining members. It was almost worse seeing the looks on all of their faces than to see Dave lying there." "The first two speakers were friends of the family," Herbert stated about yesterday's services. "The third speaker was Dave's uncle. He was by far the most energetic speaker of them all. He had us all laughing and crying as he remembered different events in Dave's life. He received a standing ovation at the end of his talk. "There was a short musical break with CELINE DION's 'Because You Loved Me' and the Titanic theme. "Next up was the Chairman of Wind-up Records. He spoke a little about rock'n'roll. He also said that a 'Tribute' DVD will soon be released and that the first $250,000 would be used to build Dave's parents a new house, as this was one of Dave's dreams. "The CEO and President of Wind-Up Records also spoke, and he had us all in tears, mostly because he was in tears. Several other friends and family spoke. "CJ, Stevie, and Mike also said a few short words. At the end they asked if the people attending could stand up and cheer for Dave like they were at Ozzfest one last time... The place went completely nuts. "The final speakers were a couple of high school friends. They had put together a 10-minute video with old snapshots and video clips of Dave ranging from 6 months old to earlier this year. It was very moving. "As they carried Dave out, they were playing someone's voice mail messages over the PA from August 14th. This was the hardest part. Hearing the voices of so many people calling to say: 'I'm so sorry, I just heard'..."
DAVE WILLIAMS' Public Funeral Service: An Eyewitness Account
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text: Mystic Arts Center Poetry box by Dan Potter Tree as Box by Dan Potter Poem and poetry box by Dan Potter, sculptor and actor for the Mystic Paper Beasts mask theatre company which he cofounded in 1976, Dan grew up making paintings and sculpture, puppets and masks with his parents, Alice and Fuller Potter, two artists who married while arguing about good and bad art. When he was ten, his father entered Dan's first 3D painting/sculpture icognito in the first Whitney Biennale Exhibition, and when it sold to a Texas oilman, they bought a welding rig, and in 1956 Dan began showing sculpture at Anne Fuller's Stonington Art Gallery. Moving from welded assemblages in his teens to pottery in his thirties, anatomical drawing in his forties, and lost wax bronzes and plasma cut sculpture in his fifties, he now shows in galleries on Long Island, Rhode Island, the Cape, Connecticut, Mexico, Istanbul, and Hanoi, as well as New York. Dan is a graduate of the Putney School, Harvard College, and the Graduate School of Design (after a year of working for Paul Matisse as a designer and another studying at the Ecole des Beaux Arts in Strasbourg). He studied with Alex Tzonis, Ricardo Porro, Deane Keller, Don Gale and Peter Zallinger. Over the past two years, following invitations into Ana Flores' Poetry of the Wild project, he has created two poems for trees in public spaces. The first, in Riverside Park, New London was destroyed; in a mirrored box with gifts a stencil read: "Long before you came, I was a seed, longing for you." The second arrangement hung inside a habitable hollow tree that stands by the water before the Mystic Arts Center. Many small gift discs, each read E A R T H as letters in a circle on one side, and on the other: EAR, HEAR THE EARTH; ART, THE HEART. Share this:Click to email this to a friend (Opens in new window)Click to print (Opens in new window)Click to share on Google+ (Opens in new window)Click to share on Tumblr (Opens in new window)MoreClick to share on Facebook (Opens in new window)Click to share on LinkedIn (Opens in new window)


text:
Results 1 to 2 of 2
10-31-06, 16:43 #1Registered User
- Join Date
- Feb 2006
- Posts
- 46
Unanswered: Question on when to denormalize data?
Can someone provide me with some resources on when to de-normalize data? If possible could someone give me three reasons on why to denormalize data. I am aware that normalized data can have many joins and this affects performance. Basically, I would like something that is a bit more formal.
10-31-06, 17:35 #2Registered User
- Join Date
- Jun 2004
- Location
- Liverpool, NY USA
- Posts
- 2,520
Denormalizing data might make sense in a datawarehouse application because the data doesn't change, and it can speed up queries, but I would never do it in a OLTP application. The beauty of normalized data is that no data is duplicated. Just my 2 cents. As for references go to google and put in the following keywords
normalized data denormalizedBill
You do not need a parachute to skydive. You only need a parachute to skydive twice.


text: Thanks to Mr. Bormann and the 20 students from the Applied Industrial Technology class at Dubuque Senior High for stopping by our offices to learn about solar technology and career paths in renewable energies. We had a wonderful time and the students asked some great questions. They also got a tour of the solar array on the roof. This was the 2nd year Mr.Bormann has brought a class from Dubuque Senior High to discuss renewable energy careers and solar energy. We're looking forward to next year's class!


text:
Bankruptcy Overview. Why file for a Bankruptcy? Loss of job? Medical bills? Foreclosure? Divorce? Just a run of bad luck? A fundamental goal of the federal bankruptcy laws is to give debtors a financial " fresh start " from burdensome debts. Are there alternatives to filing Bankruptcy?
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Loss of job? Medical bills? Foreclosure? Divorce? Just a run of bad luck? A fundamental goal of the federal bankruptcy laws is to give debtors a financial "fresh start" from burdensome debts.
Yes! Bankruptcy may not be the only solution to assist you during your financial hard times. Contact our firm for comprehensive consultation with a skilled bankruptcy attorney.
It depends. There are 6 basic types of bankruptcy cases provided for under the Bankruptcy Code. The most common are Chapter 7 and Chapter 13, which generally is used for individual debtors. Chapter 11 ordinarily is used for business reorganizations.
Presented by Gina Silvestri, Esq.
Presented by Gina Silvestri, Esq.
* Please note that although most debts are dischargeable, some are not, such as child support obligations.
Presented by Gina Silvestri, Esq.
The timing of the discharge varies, depending on the chapter under which the case is filed. In a Chapter 7 case, for example, the court usually grants the discharge promptly on expiration of the time fixed for filing a complaint objecting to discharge and the time fixed for filing a motion to dismiss the case for substantial abuse (60 days following the first date set for the 341 meeting). Typically, this occurs about four months after the date the debtor files the petition with the clerk of the bankruptcy court. Since a Chapter 13 plan may provide for payments to be made over three to five years, the discharge typically occurs about four years after the date of filing.
Generally, unless there is litigation involving objections to the discharge, the debtor will usually automatically receive a discharge.
Not all debts are discharged. The debts discharged vary under each chapter of the Bankruptcy Code. Section 523(a) of the Code specifically excepts various categories of debts from the discharge granted to individual debtors. Therefore, the debtor must still repay those debts after bankruptcy.
Presented by Gina Silvestri, Esq.
In Chapter 7 cases, the debtor does not have an absolute right to a discharge. An objection to the debtor's discharge may be filed by a creditor, by the trustee in the case, or by the U.S. trustee. In Chapter 13 cases, the debtor is usually entitled to a discharge upon completion of all payments under the plan.
A debtor who has received a discharge may voluntarily repay any discharged debt. A debtor may repay a discharged debt even though it can no longer be legally enforced.
The law provides express prohibitions against discriminatory treatment of debtors by both governmental units and private employers. A governmental unit or private employer may not discriminate against a person solely because the person was a debtor, was insolvent before or during the case, or has not paid a debt that was discharged in the case.
Presented by Gina Silvestri, Esq.
Presented by Gina Silvestri, Esq.
Presented by Gina Silvestri, Esq.
If so, please contact:
Allen & Arcadier, PA
2815 W. New Haven Avenue, Suite 304
Melbourne, FL 32904
Phone: (321) 953-5998
E-mail: [email protected]
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Presented by Gina Silvestri, Esq.