text:
Category: Flashing hidden cams upskirts
Category: Amateur hidden cams matures
Upskirt pussy
Category: Amateur flashing upskirts
Katie morgan get pussy stretched
Category: Babe Pussy Pornstar
Katie play her pussy and suck cock
Category: Sclip Makeminegrow Com
Anja gets fucked on her office
Category: Blow Job Babes
Welcome To My Pussy
Category: Black and ebony blowjobs big boobs
V nasty-you already know me (xxx video)
Category: Amateur blowjobs interracial
Rachel roxxx strokes a huge cock and tastes the cum
Category: Sclip 69 Soapy
Perfect teeen pussy
Category: Homemade Teenager Amateur
The hottes lesbian compilation
Category: Girl On Lesbians
Brunette Lesbians Making Out And Sucking Pussy
Upskirt shopping
Category: Amateur upskirts
Category: Upskirts
Trina upskirt showing ass
Category: Flashing upskirts
Hot upskirts
Great upskirt
Category: Upskirts voyeur
Uplclose pussy stretching
Category: Close-ups teens upskirts
Pussy flashing in shopping mall
Category: Amateur public nudity upskirts
Upskirt in shoestore no panties and piercing
Category: Hidden cams public nudity upskirts
Busty Upskirt
Category: Big boobs upskirts
That pussy is wet
Category: Black Homemade Amatuer
Upskirt disco
Upskirt Pussy Look At With A No Panties Slut
Women Upskirt
Category: Matures public nudity upskirts
Brilliant upskirt of two hot teens
Category: Teens upskirts voyeur
Upskirt Cameltoe
Category: Close-ups upskirts voyeur
Super upskirt
LadyWithoutFace upskirt and peeholestretching
Category: Amateur matures upskirts
MILF upskirted in a parking lot
Category: Milfs upskirts voyeur
Shaved no pantys pig pussy upskirt
Category: Amateur close-ups upskirts
Category: Teens upskirts
Upskirt in supermarket NO PANTIES
Category: Hidden cams upskirts voyeur
Another great upskirt
Upskirt No panties in supermarket
Category: Flashing upskirts voyeur
Table upskirt
Category: Amateur hidden cams upskirts
Upskirt New Orleans
Spread legs shaved pussy
Category: Amateur stockings upskirts
My pussy upskirt
Arabic wet pussy
Category: Public nudity upskirts arab
Perfect Upskirt
MILF upskirt in the art store.
Upskirt no panties
Hot escalator ride upskirt
Upskirt a peruana
Nice business lady upskirt
Category: Blondes upskirts voyeur
Upskirt, bajo falda
Train upskirt
Upskirt Asian on the stairs
Category: Amateur asian upskirts
Upskirt in Hypermarket Romania
Cute mature upskirt
Category: Matures upskirts voyeur
Katie Gets Her Pussy Stuffed By Tony Outdoors.
Upskirt in cafe
Category: British stockings upskirts
Amazing brunette strips and pussy plays for the cam
Category: Justlegalbabes Com Babe
Category: Black and ebony upskirts voyeur
Category: Big boobs latin upskirts
South Africa Pick n Pay Upskirts
Emo Katie rubbing her pussy
Category: Amateur big boobs close-ups
Upskirt neighbor balcony
Upskirt Girls have Fun in Public
Gorgeous Upskirt Pussy Viewpoint
Teens upskirt on a bus station
Pantyhose foot and pussy play
Upskirt very good
Category: Amateur upskirts voyeur
Candid upskirt
Voyeur UpSkirt
Upskirt Pussy And Ass Shot Of Business Girl
Category: Hidden cams latin upskirts
Big white booty upskirt
Category: Close-ups flashing upskirts
My wife showing her tits and a nice upskirt
Category: Amateur milfs upskirts
White panty upskirt of a milf
Stocking upskirt
Category: Stockings upskirts
Woman In Dressed Voyeur Film Of Her Upskirt Pussy
Airport upskirt
Upskirt carnaval
Mature pantyhose upskirt
Category: Matures stockings upskirts
Category: Babes upskirts voyeur
Gorgeous milf upskirt
Black lace Pantie Upskirt
Category: Close-ups stockings upskirts
Club upskirt
Upskirt playing
Big butt upskirt
Category: Brunettes hidden cams upskirts
In Public Upskirt Pussy Flash Caught On Camera
Purple panty upskirt
Sexy halloween upskirt
Category: Blondes teens upskirts
Amateur upskirt
Category: Amateur masturbation upskirts
Nice tan milf upskirt
Artie Upskirt No Knickers Panties being Voyeured
Upskirt on teens while walking
Nice mature pantyhose upskirt
Category: Public nudity upskirts voyeur
Cute blonde upskirt
Hairy pussies
Category: Classic Retro Cumpilation
Camera Caught Upskirt Of Girls On The Road
College pussies getting fucked
Category: Collegerules Com Teens
On my back pussy and ass
Category: Homemade Bbc Bbw
British babe in stockings gets pussy pounded and facial
Category: Stocking Stockings Lingerie
Pussy pleasure massage therapy
Category: Lesbian Porstar Blonde
Vintage Upskirts
Category: Stockings upskirts vintage
Exposed ass bending over upskirt
Pussy play
Category: Amateur fingering matures
Artie Gets a thumbs up Flashing Her Pussy at Trucker
Asian teacher gives upskirt view
Category: Japanese Japan Teacher
Amazing teen get it s pussy drilled
Category: S pussy drilled
Babysitter s pussy gets licked outdoors
Category: S pussy gets licked outdoors
Accidental Upskirts
Fucking my gf s wet pussy hard till cumshot
Category: S wet pussy hard till cumshot
Hot brunette tease her tight pussy
Category: Brunette Pussy Tight
Pussy Massage
Category: Blondes public nudity softcore
Katie morgan in her best scene
Category: Katie Morgan
Perfect amateur pussy
Category: Babes Teenager Petite
Cute teen fucked hard in her mouth and pussy
Category: Rough Violate Extreme
Vibe stuck in her pussy
Category: Masturbation Hidden Masturbating
Annette Frier und Katy Karrenbauer nackt
Category: Celebrities
Blonde fingering pussy in the bathroom
Category: Homemade Lesbian Girl
Busty girl playing with pussy
Category: Busty Girl Pussy
Toilet Seat Upskirt View by snahbrandy
See how i made that pussy cum
Category: Ebony Homemade Wet
Hot ebony toying her puffy pussy and squirting
Category: Ebony Black Squirting
Euro slut strips and pussy plays for the cam
Category: Striptease Pussy Rubbing
Tight pussy spunk loaded
Category: Tattoo Brunette Babe
Under desk upskirt view of secretary in black fully fashioned sto
Category: Upskirt Stockings Candid
Upskirt GOSTOSA DE CALCINHA BRANCA
Black chick eating her friend s pussy and ass...
Category: S pussy and ass...
Marcella s pussy drill
Category: S pussy drill
Daughter mouth and pussy fucked hard
Category: Softcore upskirts voyeur
Category: Asian upskirts
Sometimes i just don t want to have a clean shaven pussy
Category: T want to have a clean shaven pussy
Bree s pussy and wet knickers
Category: S pussy and wet knickers
Teen massive squirting while having fat cock inside her pussy
Category: Orgasm Squirting Wet
Bbw oral pussy yum
Category: Bbw Oral Pussy
Upskirt lips
Category: Flashing public nudity upskirts
Katie's fine ass oiled up and fucked
Category: Babes brunettes hardcore
Blonde girl gets fucked in the pussy and ass
Category: Ass Fuck Blonde
Fucking that pussy and that ass
Category: Anal Ass Pussy
Upskirt cleaning
Big titted whore rubs wet pussy
Category: Amateur Homemade Big
Staged sheer pantie upskirt
Pussy drip fun
Category: Pale Bareass Pussy
Fuck pussy teen japanese
Category: Amateur asian teens
Latin girl s orgasmic pussy fountain
Category: S orgasmic pussy fountain
Amazing godess tasting her own pussy
Category: Amazing Hot Chick
Masturbation katie k sybian best ever full
Category: Masturbation Katie K
Upskirt sin
Upskirt Shoe store
Silver Satin Pantys Upskirt
Category: Lingerie teens upskirts
Marika upskirt oopssss wonderful big tits
Category: Big boobs italian upskirts
A Little pussy play in hotel lobby
Hot ebony babe masturbating and toying pussy
Category: Ebony Babe Masturbation
Upskirt Compilation
Blonde playing with her pussy
Category: Booty Butt Masturbate
Brunette and blonde babe fingering and licking pussy
Category: Lesbians Pussy Licking
Upskirt panties down
Category: Flashing stockings upskirts
My pussy hot
Category: Bbw
Kasey their hot and sexy pussy just for you
Category: Homemade Babes Pussy
Hotride from pornhublive plays with her pussy and ass
Category: Lclip Tight Brunette
Kinky teen kacey jordan shows off her tight pussy
Category: Pornstar Tight Teasing
Upskirt at cafe on the gardalake
Hot sexy girl gives you an almost naked upskirt look
Unbelievable mega pussy
Category: Teenager Brunettes Pussy
Drunk teen takes huge cock in her mouth and pussy
Videosexarchive.com is a global porn search engine, we index and provide our visitors the most convenient way to search the best porn videos ever posted on the Internet. Videosexarchive.com has a zero-tolerance policy against illegal porn. Videosexarchive.com does not host any videos on its servers. All porn pictures and porn videos are provided by third party tube sites, and we have no control over the content on these sites. Also, we take no responsibility for the content on any website which we link to.


text: Hi everybody! This is a grammar questions related to tenses after "no sooner". I know that when talking about past events, Past Perfect is normally used after "no sooner", but can we use a present simple after it when talking about things that are always true? For example, would this sentence be correct: "No sooner DO you set foot in this city than you realise how welcoming it is" ? Thanks a lot!

subset: commoncrawl


text:
Q&A Friday #112: Should The GOP Give Up On Social Issues?
Question: It seems pretty obvious that Romney avoiding social issues only allowed to the Obama campaign to define him in the eyes of the electorate(and Akin, Murdoch, etc. didn't exactly help). Going forward do you feel like the Republican party should switch their positions on social issues and take the ideological stance of limited government protecting individual rights as they do with economic issues, or do you feel that Republicans should stay the course, and strongly define their position on social issues for the next election? — Daytrip
The GOP's last two candidates for President have been establishment-approved, moderate, "electable" candidates who've barely talked about social issues.
Both of them lost.
Then, what do we hear? We need to choose an establishment-approved, moderate, "electable" candidate who barely talks about social issues.
The Republican Party is a three legged stool: fiscal conservatism, social conservatism, and a muscular foreign policy. It's not time to abandon one of those legs; it's time to run a candidate who does a better job of representing all three parts of the GOP coalition — and social conservatives are not a small block of voters. Keep in mind that just over 78% of Americans are Christians and that number swells to roughly 85% of black and Hispanic voters. If you're looking to do minority outreach, social conservatism is a good place to start.
That doesn't mean that we have to be preachy, extreme, rub it in anybody's face or make social issues the center of the GOP's agenda, but Christians should feel like the GOP is the party of traditional marriage, life, and Christianity.
Also see...
Facebook60.9kTwitter108Email0 Close-quarters combat just got a little more deadly with the introduction of this gas-injection knife. It allows you to inject compressed gasses into whatever you stab, effectively blowing it...Read More
John Hawkins
Related Articles
Hmm, Maybe CNN Isn't Mega-Biased: 10 Things The GOP Must Do In 10 Weeks
FacebookTwitterEmail Yesterday, the Clinton News Network gave informed Obama of the 10 things he needed to do in the next
New bill would require White House dinners to follow same as school lunch guidelines
FacebookTwitterEmail One Illinois Republican lawmaker has asked the: White House: and the: Obama's to stop being "hypocrites" and practice what they preach about
Q&A Friday #107: What If Rick Perry Gets In?
FacebookTwitterEmail Question: Hawkins, what is your opinion on the possible entry of Rick Perry in the GOP race for the


text:
Stock Vector Illustration:
Concept of Airplane, Air Craft Shipping Around the World for Transportation Concept, Vector Illustration EPS 10.
- Image ID: 136853972
- Copyright: Ohmega1982
Enjoy hundreds of images a month with no daily download limits. Subscribe and save 20%
High quality images curated from over 150 countries.
Over 50 million photos, vectors, illustrations, and more.
Simple and flat pricing by image or by month.
Over 230,000 images downloaded every day.


text:
New answers tagged eigenvalues-eigenvectors
A more direct proof would be: Assume $\lambda$ is a non-zero eigenvalue of $f\circ g$, i.e. $$ (f\circ g)v=\lambda v$$ for some $0\neq v\in V$. Application of $g$ on both sides shows $ (g\circ f) (g(v)) =\lambda g(v)$ which shows that $\lambda$ is also an eigenvalue of $g\circ f$ (with eigenvetor $g(v)$, which is not equal to $0$, otherwise $(f\circ ...
This works not just for square matrices but all matrices where the product makes sense. A reference is Godsil and Royle's book Algebraic graph theory, Lemma 8.2.4. Their ingenious proof is to note that $$ \det\left(\begin{bmatrix}I & A \\ B & I\end{bmatrix} \begin{bmatrix}I & 0 \\ -B & I\end{bmatrix}\right) = \det\left(\begin{bmatrix}I & ...
Depending what you mean by "find", this is straightforward if all eigenvalues are distinct, because then any matrix having those eigenvalues is diagonalizable http://en.wikipedia.org/wiki/Diagonalizable_matrix . In that case every invertible matrix P gives rise to a matrix Matrix_with_those_eigenvalues = P * diag([eigenvalues]) * inv(P) using MATLAB ...
Recall for linear PCA $N$ is the number of data points in the set and comes in the eigen decomposition of the covariance matrix $C$, where $C = \frac{1}{N} \sum_{i=1}^N x_i x_i^\top$ ( we look for eigenvectors $v$ such that $\lambda v = C v$). So we simply multiply through by the constant $N$ to bring it through to the other side. It is similar ...
Let $A$ be $m\times m$ matrix such that sum of each row is equal to $n$, then consider $$\begin{pmatrix}a_{11}&a_{12}&\cdots &a_{1m}\cr a_{21}&a_{22}&\cdots &a_{2m} \cr \vdots & \vdots & \ddots & \vdots \cr a_{m1}&a_{m2}&\cdots &a_{mm}\end{pmatrix}\begin{pmatrix} 1\cr 1 \cr \vdots \cr 1 ...
An Eigenvector is nothing more than a vector that points to some place No, an eigenvector is a vector that points to the same place after being transformed by the matrix. As far as usefulness of eigenvectors go, it is very hard to find a mathematical concept that has more real life applications then the concept of eigenvectors: for example, the ...
we will divide all the entries of the matrix by $\sqrt{4^2 + 5^2} = \sqrt{41}.$ we can now write the matrix $$A = \pmatrix{ 4&-5\\5&4} = \sqrt{41}\pmatrix{ 4/\sqrt{41}&-5/\sqrt{41}\\5/\sqrt{41}&4/\sqrt{41}} = \sqrt{41}\pmatrix{\cos t&-\sin t\\\sin t &\cos t} $$ in a much simpler form. the matrix $A$ represents a linear ...
Decomposition/ Determinant Method $A$ can be decomposed into a matrix $S = sI_2$, where $I_2$ is the $2\times 2$ identity matrix, which scales the vector by a factor of $s$ and a matrix $R_\theta$ which rotates the vector by an angle $\theta$ as $A=SR_\theta$. We know that $\det(A) = \det(SR_\theta) = \det(S)\det(R_\theta) = \det(S)$, because ...
Set $N = \begin{bmatrix} 0 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \end{bmatrix}; \tag{1}$ then a simple calculation reveals that $N^2 = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 1 & 0 & 0 \end{bmatrix} \tag{2}$ and $N^3 = 0. \tag{3}$ Also, $A = aI + N. \tag{4}$ Since $N$ and $I$ commute, we may apply the ...
For a route different to induction, express the matrix as $$A=aI_3+G$$ where $I_3$ is the identity matrix and $G$ is given by $$G=\begin{bmatrix}0&0&0\\1&0&0\\0&1&0\end{bmatrix}$$ A binomial expansion will yield $$\begin{align}A^k&=(aI_3+G)^k\\&={k \choose 0}a^kI_3+{k \choose 1}a^{k-1}I_3G+{k \choose ...
There is extended reading giving formula for calculating functions such as polynomials on matrixes: http://en.wikipedia.org/wiki/Matrix_function#Jordan_decomposition
I don't think the following could be caracterized as "nasty determinant calculation". I don't know how one can prove the equality without indulging in some computation. Let $r=\operatorname{rank}(A)$ From a well-known theorem, derive that there exists $P,Q$ invertible $m\times m$ and $n \times n$ matrices such that $$A=P\begin{bmatrix}I_r& 0\\ 0 ...
Let $A$ be a complex $2$ by $2$ matrix having distinct eigenvalues $a, b$. Show that $A^n =\frac{ a^n}{a - b}(A - bI) + \frac{b^n}{b - a}(A - aI)$.
i think you can do this with cayley-hamilton theorem which says that a matrix satisfies its characteristic equation. that is $$A^2 -(a+b)A + abI = 0 $$ or $$A^2 = (a+b)A - abI$$ we can use this to write every power of $A$ as a lineay combination of $A, I$. we will the division algorithm to find the remainder. suppose $$x^n = q(x)(x-a)(x-b) + \alpha x + ...
If this matrix is diagonalizable, that is if it has 4 distinct but not necessarily unique eigenvalues, then the eigenvalues are the entries in the diagonal matrix and the eigenvectors form the two adjacent matrices so we get $PQP^{-1}$. Even more basically the eigenvectors corresponding to eigenvalues are the vectors that when multiplied by the given matrix ...
Think of the matrix as a function from $\Bbb R^4$ to $\Bbb R^4$. If there is line through the origin in $\Bbb R^4$ that is taken to itself by the function, then it is an eigenvector and the amount that line is stretched or shrunk is the eigenvalue. It's easier to see this in $\Bbb R^2$. If the function is a rotation of $90^\circ$ then there are no (real) ...
Let $A$ be a complex $2$ by $2$ matrix having distinct eigenvalues $a, b$. Show that $A^n =\frac{ a^n}{a - b}(A - bI) + \frac{b^n}{b - a}(A - aI)$.
We have $$A = X \begin{bmatrix}a & 0\\0 & b\end{bmatrix} X^{-1}$$ This means $$A^n = X \begin{bmatrix}a^n & 0\\0 & b^n\end{bmatrix} X^{-1}$$ We have $$A-bI = X \begin{bmatrix}a-b & 0\\0 & 0\end{bmatrix} X^{-1} \text{ and }A-aI = X \begin{bmatrix}0 & 0\\0 & b-a\end{bmatrix} X^{-1}$$ Hence, $$\dfrac{a^n}{a-b}\left(A-bI\right) = ...
I don't see any need in invoking the Cayley-Hamilton theorem here. If $b_0\neq 0$, then it is invertible and will divide anything, even $0$ (though in fact $\det A\neq0$ in this case). If $b_0=0$ then the minimal polynomial is divisible by$~X$, so $A$ times a nonzero polynomial in $A$ is zero, and $A$ cannot be invertible; therefore $\det A=0$ is a multiple ...
It is not equal to the largest absolute value of eivenvalues. For a counterexample, consider a matrix $A_{11}=0, A_{12}=A_{21}=A_{22}=1$. However, it is a bound of eigenvalues. Let $A$ be a complex square matrix. Then, all its eigenvalues are bounded by $min \{ max_j \sum_i |A_{ij}|, max_i \sum_j |A_{ij}|\}$. If you assume the matrix is symmetric, then ...
Characterize magic matrices in terms of their eigenvalues. A Magic Matrix over a field $F$ is a square matrix whose row and colums sums $c\in F$.
Knowing just the eigenvalues of a matrix is not enough to tell whether it is magic. For example, the real matrices $$ \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} \qquad \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} $$ both have the eigenvalues $1$ and $-1$, but only the second of them is magic. So you need to adopt a more liberal ...
The eigendata refers to invariants of transformations. Different eigenvalues correspond to different eigenvectors/spaces, but not necessarily vice versa.
Let $D$ be a nonsingular diagonal matrix. Show that $1\notin spec(DA)$ if and only if $D - A$ is nonsingular.
Hint: $D^{-1}=D$ since $F=\mathbb{F}_3$ and $D$ is diagonal.
How to determine generalized eigenvectors of $\begin {bmatrix} 2 & 1 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 2 &1 \\ 0 & 0 & 0 & 2 \end{bmatrix}$
The system you propose is fine. You should find the following generalized eigenvectors: $$\vec{v}_3=\begin{bmatrix}0\\1\\0\\0\end{bmatrix},\quad\vec{v}_4=\begin{bmatrix}0\\0\\0\\1\end{bmatrix}$$
How to determine generalized eigenvectors of $\begin {bmatrix} 2 & 1 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 2 &1 \\ 0 & 0 & 0 & 2 \end{bmatrix}$
First out, definition of Generalized Eigenvector, So you would want to try and solve $({\bf A}-\lambda {\bf I})^k{\bf v} = {\bf 0}$, but $({\bf A}-\lambda {\bf I})^{k-1}{\bf v} \neq {\bf 0}$ to answer your question. You can use the first order eigenvectors (ordinary eigenvectors) together with the block-zero property to limit the span of generalized ...
Firstly, you can't show that $A$ is diagonal just looking at ranks, but I think you mean diagonalizable. The fact that $A$ has rank $5$ means that it has an eigenvalue of $0$ with geometric mulitiplicity $4$. Since $(A-3I)$ has rank $5$, that means the eigenvalue $3$ has geometric multiplicity $4$. You know that $5$ is an eigenvalue, and it must have ...
i will show you how to find the eigenvector corresponding to the eigenvalue $1 + ih.$ it follows the same lines as when the eigenvalue is real. you need to solve the homogeneous system of equations represented by the matrix $$\pmatrix{-ih&-1\\h^2&-ih}$$ we already know this matrix has rank < $2,$ and in fact is of rank $1.$ therefore the second ...
Use the exact same method as for real eigenvectors: $$\begin{pmatrix}1&-1\\h^2&1\end{pmatrix}\begin{pmatrix}x_i\\y_i\end{pmatrix}=\lambda_i\begin{pmatrix}x_i\\y_i\end{pmatrix}$$ So, for $\lambda_1=1+ih$: $$\begin{pmatrix}1&-1\\h^2&1\end{pmatrix}\begin{pmatrix}x_1\\y_1\end{pmatrix}=\begin{pmatrix}(1+ih)x_1\\(1+ih)y_1\end{pmatrix}$$ ...
Note that as $3$ is odd, there must be at least one real eigenvalue. If there exists only $1$ real eigenvalue, then that eigenvalue must be $\pm 1$ because then the inverse of the eigenvalue also has to be an eigenvalue of $B$ (by supposition). Otherwise there must exist $3$ real eigenvalues, call them $x,y,z$. Then WLOG suppose $x=1/y$ as then $x^{-1}$ and ...
Hint: If $e$ is an eigenvalue, its eigenspace is $$\ker(A-e\mathbb{I}_n)$$ Edit: Let's find the eigenspace of the second eigenvalue. This leads to finding the kernel of the matrix $$\left \lgroup\begin{matrix} ih & -1\cr h^2 & ih \end{matrix} \right \rgroup$$ If $h\neq 0$, we can multiply the second line by $\frac{i}{h}$, which yields $$\left ...
Check this out: Since $A^3 - A+ I = 0, \tag{1}$ we have $A(I - A^2) = (I - A^2)A = I. \tag{2}$ (2) shows that $A^{-1} = I - A^2, \tag{3}$ so $A$ is invertible. It is not in general true that (1) implies the characteristic polynomial of $A$ is $t^3 - t + 1$; if $\text{size}(A) \ne 3$, for example, it cannot be the case, since the degree of the ...
Hint. $$ A^3-A+I=0\quad\Longrightarrow\quad A(I-A^2)=I. $$
Call $B= (-1)(A^2 - I)$, now $(-1)(A^2 - I)A=I$ so you have $B$ as one side inverse, on the other side also $A(-1)(A^2-I) =I$.
Suppose $v_k$ is an eigenvector of $A$ with eigenvalue $\lambda_k$ so that $Av_k=\lambda_kv_k$ then we have $$(A-\sigma I)v_k=\lambda_kv_k-\sigma v_k=(\lambda_k-\sigma)v_k$$ Can you work out what the corresponding eigenvalue and eigenvector of $A+\sigma I$ is?
Let $\lambda$ be an eigenvalue of $A$ with corresponding eigenvector $X$. We have $$AX=\lambda X.$$ Consider $$B=A-a I.$$ We have $$BX = (A-aI)X=AX-aIX=\lambda X-aX = (\lambda - a)X.$$ Thus, if $\lambda$ is an eigenvalue of $A$, then $\lambda-a$ is an eigenvalue of $B$.
If c is an eigenvalue of $A$, then $Av = c.v$ for the corresponding eigenvector. This implies $(A - aI)v = (c - a)v$. Thus, if c is an eigenvalue of $A$, then $c-a$ is an eigenvalue of $A - aI$. This also shows that eigenvectors of $A$ and $A - aI$ are same.
Because $A^2=-I$, the minimal polynomial of $A$ has to divide $f(x)=x^2+1=(x+i)(x-i)$. So all of the possible eigenvalues for $A$ are $\{i\}$, $\{-i\}$, or $\{i,-i\}$.
Hint If $\lambda$ is an eigenvalue of $A$, then $\lambda^2$ is an eigenvalue of $A^2$. (Also, if $A$ is real but you want to include complex eigenvalues, it's useful to know that if $\lambda$ is an eigenvalue of a real matrix $A$, then (1) so is its complex conjugate $\bar{\lambda}$, and (2) $\lambda$ and $\bar{\lambda}$ have the same multiplicity.)
For any ring $R$, and any polynomials $f(x), d(x), q(x) \in R[x]$, we have $f(x) = d(x) q(x) \Rightarrow f_0 = d_0 q_0, \tag{1}$ where $f_0$ is the constant term of $f(x)$ etc. This is easy to see by simply examining the basic rule for polynomial multiplication, with $d(x) = \sum_0^{\deg d} d_i x^i, \tag{2}$ $q(x) = \sum_0^{\deg q} q_i x^i, \tag{3}$ ...
The system you derived does not force the vector to be the zero vector: it only forces the second component to be zero. The first component can be anything to satisfy the system, and anything nonzero to be an eigenvector. For convenience you can choose the first component to be $1$. Incidentally, because the system is triangular, you don't need to use ...
There exists a polynomial $p(t)$ such that $$ \DeclareMathOperator{char}{char}\char_A(t)=p(t)m_A(t) $$ It follows that $$ (-1)^n\det(A)=\char_A(0)=p(0)m_A(0)=p(0)b_0 $$ That is, $$ \det(A)=(-1)^np(0)b_0 $$ Hence $b_0$ divides $\det(A)$.
Hint: For any square matrix of order $n$, the constant term of the characteristic polynomial $\chi_A$is $(-1)^n\det A$, and the minimal polynomial of $A$ divides $\chi_A$.
The space of polynomials is infinite-dimensional. So there is no characteristic polynomial, and no Cayley-Hamilton theorem. If $g$ is a polynomial of degree $n$, then $g(D)$ is the differentiation of order $n$. If you take a polynomial $p$ of degree $n+1$, then $g(D)p\ne0$, hence $g(D)\ne0$. On the other hand, if you consider the space of polynomials of ...
Determine the number of possible values for $\det(A)$, given that $A$ is an $n \times n$ matrix with real entries such that $A^3 - A^2 -3A +2I=0$.
The eigenvalues of $A$ are the roots of its minimal polynomial, and $\bigl\{P(x)\in \mathbf R[x] \mid P(A)=0\bigr\}$ is the set of multiples of the minimal polynomial of $A$. Hence if $P(A)=0$, the eigenvalues of $A$ are among the roots of $P(x)$.
Determine the number of possible values for $\det(A)$, given that $A$ is an $n \times n$ matrix with real entries such that $A^3 - A^2 -3A +2I=0$.
Suppose $v$ is an eigenvector of $A$, with eigenvalue $\lambda$. Then $\lambda$ must satisfy the same cubic equation that $A$ satisfies: $$(A^3-A^2-3A+2I)v=0v=0\\ (A^3-A^2-3A+2I)v=AAAv-AAv-3Av+2v\\ =AA\lambda v-A\lambda v-3\lambda v+2v\\ =\lambda A(Av)-\lambda(Av)-3\lambda v+2v\\ =\lambda A(\lambda v)-\lambda^2 v-3\lambda v+2v\\ ...
Determine the number of possible values for $\det(A)$, given that $A$ is an $n \times n$ matrix with real entries such that $A^3 - A^2 -3A +2I=0$.
Hint : The minimal polynomial of the matrix $A$ must be a divisor of the polynomial $$x^3-x^2-3x+2=(x-2)(x^2+x-1)$$
This answer is an expanded version of my comment above. In short: your third computation is correct, your second one has a mistake, and your first one computes a different thing. First, let's make some things more precise. There are several subgroups of $\mathbb{S}^3\times \mathbb{S}^3$ which are isomorphic to $C_4\times D_{12}^*$, so we must define the ...
Write $A=P\Lambda P^{-1}$ where $$ \Lambda=\DeclareMathOperator{diag}{diag}\diag(\beta_1i,\dotsc,\beta_ni) $$ with $\beta_j\in\Bbb R$. Then $$ I+A=I+P\Lambda P^{-1}=P(I+\Lambda)P^{-1}=P\diag(1+\beta_1i,\dotsc,1+\beta_ni)P^{-1} $$ Thus the eigenvalues of $I+A$ are $\lambda_k=1+\beta_ki$. In particular, $I+A$ has nonzero eigenvalues. Hence $I+A$ is ...
The eigenvalues of a skew symmetric (real) matrix are all purely imaginary: of the form $\;bi\;,\;\;0\neq b\in\Bbb R\;$ , and they appear in conjugate pais, so we can list them as $\;bi\,,\,-bi\;,\;\;0\neq b\in\Bbb R\;$ If $\;A\;$ is diagonalizable and $\;J_A\;$ is its JCF , then $\;J_A+I\;$ has elements $\;1\pm bi\;,\;\;0\neq b\in\Bbb R\;$ on its main ...
That's because $A$ does not have eigenvalues -1. If it did, $\det(A+I)$ would be 0.
Another side remark: You say that you are not sure if 1, or both 0 and 1 can be eigenvalues. In some cases, it is worthwhile to think of specific examples and see what they can tell us. So what are some examples of matrices $T$ that satisfy $T^2 = T$? Well, the identity is certainly one, and its eigenvalues are all 1. However, another such matrix is the ...
Let $v\neq 0$ be an eigenvector of $T$ with eigenvalue $\lambda$, so $Tv=\lambda v$. Using $T=T^2$ we have $$ Tv = T^2 v = T(Tv) = T(\lambda v) = \lambda(Tv) = \lambda^2 v. $$ Hence, $\lambda v = \lambda^2 v$. Since $v\neq 0$ we conclude $\lambda = \lambda^2$. The only solutions to this equation are $0$ and $1$.
Top 50 recent answers are included


text:
Hard to believe that the All-New All-Different X-Men were ever bi-monthly... And there's a whole lot of Richie Rich love awaiting.
Friday, May 29, 2015
The Spinner Rack - May 1977
Doug: You know the drill -- click on this link to be taken to Mike's Amazing World of Comics where you can peruse all of the four-color goodness that was cover-dated May 1977. Click on the month below to be taken to the Comic Book Database, where you can see details on specific issues.
Hard to believe that the All-New All-Different X-Men were ever bi-monthly... And there's a whole lot of Richie Rich love awaiting.
Hard to believe that the All-New All-Different X-Men were ever bi-monthly... And there's a whole lot of Richie Rich love awaiting.
Thursday, May 28, 2015
Caveat emptor -- Ruminating on Internet Buying
Doug: Below you can find my controlled rant that I decided to post on two ratings sites. I do read such sites most of the time to gain information about products and/or companies, but in this case did not do my homework ahead of time. But I wanted to be sure that future shoppers would have access to my experience. Here it is:
I used the Internet to shop for IDW's John Romita Amazing Spider-Man Artifact Edition. Two Cats Comic Book Store in San Francisco by far had the best price I could locate. In fact, they were over 20% better than the dealer with whom I usually place orders for books of that price/value. I placed my order via the Two Cats website early on May 1 2015, a Friday. My PayPal account showed a deduction later that same day. However, the next communication I had from Two Cats was on May 7 when in checking my account on their website it showed the order was "In Preparation". I phoned the store directly on May 12 to inquire about the situation -- eight business days after my order. I was told by the female clerk that "it takes time to get orders ready". My thought was, if it takes that long perhaps Two Cats should not offer Internet sales.
The next day, May 13, my account showed that the book had shipped. However, I never received an email in confirmation, no tracking number, etc. I had asked the clerk the previous day how the package would be shipped -- she stammered around and finally concluded that it must be through the U.S. Postal Service. Needless to say, I had no confidence that a) the package had truly been shipped, and b) it would arrive safely (the latter statement is no reflection on the USPS, who I've used 100s of times for eBay business).
The book arrived today, May 19 -- 18 days after my order. To say I am disgruntled at the time it took to receive such a costly book would be an understatement. When I have purchased Artist Editions from other dealers, they have come in large boxes with several cubic feet of static-free packing peanuts cradling the books' outer boxes. Not so here. My book was in it's storage box, and then a makeshift box of corrugated cardboard was wrapped around that. That's it -- no liner, no cushioning, nothing. Obviously the book's storage box is dinged up on all four corners. The book itself is fine, although I'm not convinced that part of the delay was due to the employees perusing it over a week-and-a-half's time. Let's just say the spine didn't creak when I first opened the book.
So while other reviews for Two Cats seem positive in terms of the in-store experience, I will not place any future orders via the web, regardless of the price. In retrospect, I'd rather have paid retail price for my book but gotten it in 3-4 days. Live and learn, I guess.
Doug: I've included some photos of the packaging so that you can see how flimsy it was, as well as damage to the inner box. What makes me mad about that is that the inner box was designed for long-term product storage -- that it's cushioned on the edges is perfect, as these books are huge and heavy! But I've been able to give the book a thorough look-over (as has my eldest son, in wide-eyed amazement), and it's come through the shaky passage in great shape. As I've said previously, I cannot recommend these books from IDW enough -- they are a peek straight into the creative process of comics history. Just wonderful!
Doug: So while I would not steer you toward Two Cats Comics, I would sure like to sing the praises of a few other Internet vendors with whom I've had nothing but success stories to tell. The guys and gals at In Stock Trades are fabulous beyond belief, both in pricing and in shipping speed. After Amazon (and recently to be honest, before), they have been a steady go-to for the trades and hardcovers I purchase. Remember -- it was In Stock Trades from whom I purchased by first four Artist Editions. The care they took in packaging the books is detailed above, and you can see the photos on the link just above.
Doug: Other dealers who have been solid are Cheap Graphic Novels -- check out their Bargain Bin (I have!) and Tales of Wonder. I've snagged some great deals from both of these companies. I'll also give a shout-out to Edo Bosnar for tipping me off to the folks at The Book Depository in the UK, who will ship those lovely little digests of Marvel love for free. Those things are just great!
Wednesday, May 27, 2015
Discuss: Isaac Asimov
Karen: It's been some time since we ran any posts on science fiction and/or fantasy authors, so I thought I'd pull the subject back out of the mothballs to see if we have any interest. In the past we've discussed Andre Norton, Robert Heinlein, John Christopher, Michael Moorcock, Harlan Ellison, Phillip Jose Farmer, Frank Herbert, and J.R.R. Tolkien. If you go to the tag cloud on the left-hand side of the screen and click on "author," they should all come up. If we've somehow missed tagging a post, somebody please feel free to speak up.
Today let's talk about one of the grand old men, Isaac Asimov. Although I can't say he is a favorite of mine, he was my big brother's favorite for many years, so I have some familiarity with his work. I did read some of his robot stories, but never the Foundation books, I'm afraid. By the time I began getting into SF, I was gravitating towards Roger Zelazny, Joe Haldeman, Ursula K. LeGuin, and the like, and not so much the 'hard SF' types like Asimov. But he certainly is a giant in the literature, and his Three Laws of Robotics have had tremendous impact on not only SF but society as a whole. He also took on the role of science ambassador, perhaps less than Carl Sagan, but he still was a witty guest on talk shows. Let us also not forget the magazine that bears his name and has published some wonderful short fiction for many years.
The floor is open...
Tuesday, May 26, 2015
Comics-Related Goodness in the Home or Office -- Revisited!
Doug: Today we get to revisit a post we ran back on April 24th entitled "True or False: I Have Comics Related Goodness on Display in My Home or Office." I started the conversation with a measly photo of a Captain America and a Spider-Man action figure adorning my desk. I knew, though, that once David B. came along he would dwarf us all with his description of his own office space. About a week ago David emailed Karen and I some photos of his space, and he wrote:
David B: HB summed it up best..:
"I have to say, DaveB, that yours sounds like just about the most comfortable, friendly, retro-pop-cultural womb that anyone could ever hope to visit-! The creeping plants are a perfect touch. In spite of the Little Shop [of Horrors, what I used to describe the creeping nature of my plants..] connection, they very much bridge the gap from being potentially geekily-off-putting to having an eccentric but welcoming vibe."He certainly nailed it.
Doug: So without any more hot air from me, here are the pix David wanted to show today. As he's generally one of our early commenters, I'm sure he'll be along with a little blow-by-blow narration of all of his goodies. Enjoy!
Monday, May 25, 2015
Guest Reviews - Arc of Triumph? The West Coast Avengers Limited Series
Doug: Welcome, friends, to another guest review from our pal Mike W. After his thoughts on the Rocket Raccoon mini, Mike thought he'd walk us through the West Coast Avengers limited series. It's another one of those mid-80s curiosities of which I've not partaken. Maybe Mike's going to talk me into pulling the trigger. To be honest, his review of Rocket's story made me feel somewhat justified in not having purchased that one. But today -- today's fare is all about some of my favorite characters. So sales pitch or no? We shall see.
M. S. Wilson: In my Rocket Raccoon review I mentioned that I didn't read a lot of the Marvel miniseries back in the 80s; there were plenty to choose from, but most of them featured characters I didn't care about all that much. But one miniseries I did buy (and loved) was West Coast Avengers, written by Roger Stern. Stern was writing the original Avengers title at the time (though I wasn't a regular reader) and the West Coast spinoff seemed to grow organically from the Avengers storyline. It's been a while since I've read this miniseries, so I hope it holds up (Aw, who am I kidding? Of course it'll hold up ... it's Roger Stern!).
West Coast Avengers #1 (September 1984)
"Avengers Assemble"
Roger Stern-Bob Hall/Brett Breeding
As I mentioned, I wasn't a regular reader of Avengers at this point in my life, so why did I buy this miniseries? I think the cover of issue #1 had a lot to do with it. A great shot of Hawkeye surrounded by potential Avengers: Red Wolf, Iron Man, Puck, Shanna (who I always mistook for Clea for some reason), Rom, Doc Samson, Mockingbird, Cyclops, Wonder Man, Black Widow, Tigra, Quicksilver, Hercules, Shroud, Namor, and Ant-Man. An interesting talent pool; of course, four of these characters actually do end up joining, but some of the others might have made interesting Avengers too. Some of them (Puck, Rom) seem like strange choices too. Maybe the editor just told Bob Hall to toss a bunch of random characters on the cover. Anyway, the story starts with Hawkeye giving the "Avengers Assemble" call (which is also the issue's title) to an empty Avengers Compound. So far, he and his wife Mockingbird are the only ones there. We get some playful banter between the two, who are still basically newlyweds at this point. This is certainly different from the vitriol they'll eventually be spewing at each other. They get a video call from Vision, who is chairman of the East Coast Avengers at this point. This was during the storyline when Vision was trying to take over the world's computers (or ISAAC was, using Vision as its pawn), and the creation of the West Coast branch was part of that whole scheme. Hawkeye reminds Vision that he and Mockingbird are the only ones on the new team, but Vision says he's already got some other potential members in mind.
We cut to San Francisco, where private investigator Jessica Drew is chatting with Tigra about a recent case she helped on. I like this acknowledgement of their friendship, which was established in the final few issues of Spider Woman. It seems like Jessica is about to offer Tigra a steady job, when Lindsay McCabe comes in and tells Tigra there's a phone call for her. Tigra takes the call, then decides to take a sudden trip to Los Angeles. Jessica is suspicious, but figures she can't follow Tigra herself, so she makes a phone call of her own, to someone in the L.A. area. Obviously Tigra's phone call was from Vision, asking her to join the new Avengers team. It's interesting that Vision knew exactly where to find her ... he's apparently keeping tabs on potential recruits. Also, why didn't he offer Jessica a spot on the team? I know she'd turned down membership before, but that was for the East Coast team; you'd think Vizh would've at least considered it ... or was Jessica de-powered at this time? I know the Avengers "brought her back from the dead" not long before this, but I can't remember if she lost most of her powers. I know she had them back by the time she was in Madripoor, but maybe she doesn't have them at this point.
Out in the Mojave Desert, we see Wonder Man doing stunt work for what seems to be a James Bond pastiche (the star is referred to as Sean, but he doesn't look that much like Connery to me). Wonder Man gets a call from Vision and decides to head to L.A. as soon as possible. Up in Silicon Valley, Iron Man (James Rhodes) gets a call from Vision as well, telling him to get to L.A. as fast as he can. I like the continuity references Stern keeps putting in ... first, the stuff with Jessica and Tigra, and now we get some acknowledgement of the current situation in the Iron Man comics, with Rhodey wearing the armor and moving to California with Tony and the Erwins to start their own company. Iron Man gets to L.A. fast, just in time to meet Tigra getting out of an airport limo. (Did Vision arrange that? Earlier, it seemed like Tigra was straped for cash.) Tigra knows Iron Man (or thinks she does), but Rhodey's never met her before. He's soon impressed, though! This is one of the differences in Tigra's portrayal by Roger Stern ... she's shown as being sexy (almost inadvertently sometimes), but she's not sexualized; she isn't flirting like crazy or throwing herself at everyone in sight. She seems more like the 70s Tigra here than the later Englehart-written character. Hawkeye greets Iron Man and Tigra and invites them in for the tour. They're watched by a mysterious dark-clad figure (no, it's not Batman).
Hawkeye and Mockingbird brief the new recruits (and we find out how Vizh got Tigra to head south so quickly ... he offered her a $1000 bribe, uh, I mean "stipend"). Tigra is unsure whether she wants to rejoin, which is another nice bit of continuity. She was an Avenger before (for about five issues) and quit because she didn't think she belonged in the big leagues. It makes sense she'd still have doubts. The intruder alarm goes off, and as everyone splits up to search for the culprit, we learn Tigra isn't the only one with doubts. Iron Man doesn't like the way Hawkeye barks orders, and Hawkeye himself is unsure about his leadership role and can't help comparing himself to Captain America. Mockingbird finds the intruder (who turns out to be Shroud) and they mix it up a bit. Shroud is surprised by Mockingbird's skill and he also doesn't seem to recognize Iron Man, which seems ridiculous to me; even if they hadn't met before (and I think they might have, in Super-Villain Team Up), he should know Iron Man by sight (yeah, I know Shroud is blind, but you know what I mean). Tigra has met Shroud before and quickly realizes it's him, but he finally figures out he's broken into Avengers headquarters and decides to get out while he can. Unfortunately, Wonder Man shows up at that exact moment (plot convenience, you say? No, Stern actually made a point of mentioning travel times from various destinations, so Wondy showing up as this precise moment is perfectly logical!) and bounces Shroud around, cracking some of his ribs. If you're unfamiliar with Shroud's shtick, he's a crimefighter who pretends to be a criminal so he can keep tabs on the real bad guys ... kind of like the Green Hornet, I guess. Tigra tells them Shroud is one of the good guys and Hawkeye impulsively offers him membership in the new Avengers branch (and mentions that he introduced himself to the original Avengers the same way, by breaking into their HQ). Shroud says no, since it would blow his cover as a notorious gang kingpin. Wonder Man is understandably confused, so Hawkeye gets ready to explain things again, and that's it for this issue. I was kind of disappointed that we didn't see more of the characters from the front cover. Some of them would've been unconventional choices (to say the least), but they actually end up going with people who have already been Avengers at this point. The only really new member is Mockingbird (and Rhodey, but at this point everyone still thinks he's the original Iron Man).
West Coast Avengers #2 (October 1984)
"Blanking Out"
Roger Stern-Bob Hall/Brett Breeding
We open with Hawkeye, Mockingbird, and Tigra training against Iron Man. You'd think it would be kind of a one-sided fight, but the underdogs show that teamwork can trump raw power and they actually bring Iron Man down. Tigra seems confident during the fight, but afterwards still wonders to herself if she's cut out to be an Avenger. She's not the only one worrying; Rhodey isn't sure whether he should tell his new teammates that he's not the original Iron Man, as they all assume him to be. We jump to a suburb where Wonder Man is packing to move to Avengers Compound. We get a needless show of his strength when he lifts up the back wall of his house to remove his belongings; I really don't see how that'd be any faster or more convenient than using the door. I think Wondy's been in Hollywood too long. Anyway, he runs out of nails, so he and his director friend head down to the hardware store and stumble across a bank robbery. The crook is a new character ... so new he doesn't even have a name; he takes the name The Blank from a random comment by one of the bank patrons (and no, it wasn't Betty Ross). Blank (fittingly, we never do learn his real name) is obviously new to the bank robbing game, and to the superhero game as well. He sems surprised at Wonder Man's abilities (doesn't anyone watch the news in L.A.?), but Wondy is surprised at Blank's powers too. Apparently, Blank's force field protects him from harm, but also makes him hard to hold onto. I'm not sure how that would work; he's not intangible, since Wondy can grab him, and he's not invisible. Plus, Blank can grab stuff (like the bank's money), but nothing can hurt him. Anyway, Blank jumps out the window, turns off his force field, and blends in with the crowd. You'd think that would've occurred to Wonder Man, although I guess he couldn't really start grabbing people at random. Blank takes his loot back to his apartment, and we see his origin. Some old guy that worked for Stark international invented the force field device, then stole it when Obadiah Stane took over and fired him. The old guy got hit by a car, so Blank took the device for himself. After Blank recharges the device, we see a ghostly figure appear above the charger, begging for more power (Maybe it's Tim "the Tool Man" Taylor!).
Wonder Man is mad at himself for letting a goof like Blank get away (he's been having some of the same doubts as Tigra about being able to cut it in the big leagues again). The team splits up and scours the city, and we get a quick tour of L.A.: Tigra's in Chinatown, Iron Man in Santa Monica, Hawkeye's in Marina Del Rey, Mockingbird cruises the freeways, and Wondy's Downtown. It's nice to see a different setting than New York; I always appreciated some of the comics set in California (Spider Woman, Champions, Werewolf By Night). Unfortunately, L.A. is a bit big for five people to cover. Blank ends up in Inglewood, robbing an armored car. Things go wrong and he grabs what he can, jumping out of the moving vehicle. His force field protects him again, but Mockingbird shows up in her fancy car. Blank seems surprised again ("I'm being chased by a blonde in a sports car!" Welcome to L.A., Blank!) Hawkeye and Iron Man show up too, but Blank manages to distract them by blowing up a gas station (!); Iron Man smothers the fire with a dump truck full of sand from a nearby construction site, but Blank escapes again. Back at his place, he decides to leave town (which is a decsion I think more villains should make ... it makes sense to go where the superheroes aren't). As Blank recharges his force field device, the ghostly form we saw before coalesces ... and it turns out to be Graviton!
West Coast Avengers #3 (November 1984)
"Taking Care of Business"
Roger Stern-Bob Hall/Brett Breeding
As this issue opens, it's obvious there's been a time jump; the West Coasters are shown cleaning up snow from "some unusual weather" that's affected the whole world for the past week (This is a reference to the "Casket of Ancient Winters" storyline in Thor). None of the Avengers seem to know the cause of the freak weather, but they're engaged in cleaning it up. Iron Man mentions that people in L.A. are taking the weird weather in stride and we see a woman in sunglasses, a scarf, and a bikini skiing down the street. Across town, some people are taking advantage of the slow police response time to rob a store (a Radio Shack by the looks of it ... yeah, this was set in the 80s all right). Hawkeye, Mockingbird, and Tigra stop the robbers (and in another 80s reference, Tigra appears to be wearing leg warmers ... or maybe they're just woolen tights? I've seen girls wear those up here in Canada, but you'd think they'd be hard to find in L.A.). The snow disappears as quickly as it came, and Hawkeye proposes they all get together for a barbeque. Everyone is enthusiastic, but Tigra is worried about Wonder Man; he's still moping about letting Blank get away (and we find out it's been two weeks since the last issue), so Tigra asks Iron Man to talk to Wondy. He suggests she might have better luck, and lets her know (by removing one of his gloves) that he's not Tony Stark.
At a fancy mansion in the Santa Monica mountains, we catch up with Graviton. He used the strange weather to take over the mansion from another mobster, and we get a recap of what's been happening with Graviton since Thor put him in suspended animation in Thor #324. Apparently, Grav's consciousness was awoken by a strange energy (which we're told was the Beyonder) and he used Blank's recharging machine to make his way back to Earth. Graviton demonstrates his powers (freaking Blank out a bit) and says he's not worried about the Avengers. Back at the Compound, we see the conversation between Wonder Man and Tigra. He recaps his origin and tells how he ended up working as a stuntman; apparently the Avengers' appearance on David Letterman (in Avengers #239) brought Wondy to the notice of the Hollywood bigwigs. Working as a stuntman gave him his confidence back, so he jumped at the chance to rejoin the Avengers, but after letting Blank escape he's started wondering if he made a mistake.Tigra then recounts some of her story: she tells him about the Cat People and how she's bounced from one thing to another in her life, never quite feeling in control, which is why she's also having doubts about being an Avenger. Again, I really like this version of Tigra; wanting to be on the team, but afraid to let everyone down. Much better than her later "overconfident/slutty" persona.
Tigra and Wondy decide to prove themselves by finding Blank. They go to Shroud's club for information, reasoning that since he's posing as a gangster, he'll have info on the "competition". They find Shroud's place trashed and are told that it was done by the Galeno gang ... except Galeno isn't the one in charge anymore. Shroud has to retaliate, to keep up appearances, and Wondy offers to go along as his "muscle". Tigra reluctantly agrees. Shroud and Wonder Man show up at Galeno's mansion (with Wondy wearing a really stupid-looking wig as a disguise; seriously, he looks like Harpo Marx in that thing), and find out the new gang leader is The Blank. Blank demonstrates some powers he really shouldn't have, like making Wonder Man float in mid-air, and making Shroud's feet so heavy that he can't move. Tigra jumps Blank and he yells for help. The real boss, Graviton, appears and Wonder Man warns the others to stay back as he attacks Graviton himself. Graviton uses a "localized gravity field" to send Wondy crashing through the floorboards. It's nice that they acknowledge what a tough opponent Graviton was when he first fought the Avengers; it's been a while since I read those issues, but I remember Graviton basically held off ten or so Avengers and almost killed them. He's no lightweight (so to speak). Graviton sets everything in the room spinning. Shroud tries to use his "living darkness" to blind Graviton, but the villain just pins his foes to the wall, disrupting Shroud's control. Wonder Man climbs back up through the floor (still under the effects of localized gravity), but Graviton renders him helpless by making him float in the air. Grav then sends Tigra, Shroud, and Blank (whose incessant whining he's finally gotten tired of ... I'm not sure what took him so long) crashing through the window and out into the Pacific Ocean. At the Compound, the others are preparing for the barbeque (and Rhodey's wondering how he'll eat with his helmet on), but Mockingbird is worried about Tigra and Wonder Man. Hawkeye figures there isn't much Wondy can't handle, but we see how wrong he is; back at Graviton's mansion, he shows off his newest "decoration" to a couple of girls (one of whom looks terrified, while the other seems strangely ... turned on?). He's used his gravity powers to pin Wonder Man at the bottom of the swimming pool until his lungs filled with water.
West Coast Avengers #4 (December 1984)
Roger Stern-Bob Hall/Brett Breeding/Peter Berardi
This issue starts with Tigra surfacing in the Pacific, clutching an unconscious Shroud in her arms. It's night-time now, where it seemed to be daylight last issue, so I'm not sure how long they were meant to be down there. Tigra uses her emergency beacon to call for help; I can't help wondering where she keeps that ... her costume doesn't leave a lot of room for hiding places. Iron Man picks them up, and back at the Compound we learn that Shroud will be fine (although he's never mentioned again after this) and that Iron Man couldn't find any trace of Blank. Shellhead is champing at the bit to go after Graviton, but Hawkeye reminds him how tough Graviton is, mentioning that Iron Man should know that since he fought Grav the first time around. Rhodey realizes he has to come clean and takes off his helmet. The others are surprised, and Hawkeye is annoyed to find out he's been working with an "amateur". Rhodey informs him that he was the Iron Man who saved everyone during the Secret Wars after Molecule Man dropped a mountain on them. Rhodey is stiil fired up to confront Graviton, and Hawkeye realizes that he's seen this all before, from the other side, and wonders how Captain America ever put up with him all those years. Hawkeye decides they will go after Graviton, but they need a plan.
Later at Graviton's mansion, there's a party in full swing and we see a couple of women (who I think are supposed to be high-class hookers) talking about how gross Graviton is. The bartender commiserates with them as she pours some more drinks. The bartender is Mockingbird in disguise, which makes sense; with her SHIELD background, infiltrating a party would be a cakewalk. There's a knock at the door and Madame Masque shows up, with a gun-toting goon. The goon is Hawkeye (in another weird-looking disguise) and Masque is Tigra, using her amulet (which she demonstrated last issue .. Chekhov's amulet, I guess) to hide her furriness. Mockingbird pours Graviton some more champagne as one of his henchmen fills him in on Madame Masque. Grav seems impressed (and Tigra does look good in that dress!), so he shows her around. When she mentions the Avengers, Graviton shows her Wonder Man at the bottom of the pool, which freaks Hawkeye out. They cover for it before Graviton gets suspicious, and then Iron Man shows up, blasting at Grav with his repulsors. Hawkeye uses the confusion to grab some cover, as Graviton uses his powers to bounce Iron Man around. At the bottom of the pool, Wonder Man starts to move (come on, you didn't really think he was dead, did you?). Bobbi changes into her Mockingbird costume, and joins the fight. Graviton pounds Iron Man, but begins to feel light-headed. We learn that Bobbi spiked the booze, so most of Graviton's henchmen (and other guests) are conked out, but Grav himself must have "the constitution of a moose", because he's still on his feet. A skycycle shows up with "Hawkeye" on it (actually a Hawkeye dummy ... I guess they just had one lying around at the Compound?) and when Graviton blasts it, the real Hawkeye retrieves his gear. As Graviton and Iron Man fight, Wonder Man climbs out of the pool, pulling half of it down in the process; he surprises Graviton enough to get a punch in. Iron Man grabs Madame Masque and flies off with her. Graviton quickly follows, but before Wonder Man can chase them, Hawkeye tells him everything is going according to plan.
Graviton catches up to Iron Man and his "captive" a few miles north, near a power substation. Iron Man has hooked himself into the power grid so he can blast away at Graviton with everything the station can put out. Unfortunately, the cables connecting him to the station aren't as sturdy as his armor, so just as he blasts Graviton with a huge burst of power, the cables melt, causing feedback that knocks the armor offline temporarily. Tigra chooses this moment to drop her disguise and decks Graviton; Wonder Man shows up and he and Iron Man attack again. Graviton realizes he's been drugged, but is still confident that he can beat a mere five Avengers. Hawkeye hits him with some gas arrows, and Graviton makes the gas so heavy that it sinks to the ground. Graviton is still bragging about how tough he is when he keels over. Later, we see Graviton being hauled away (I'm not sure how they'll keep him incarcerated ... drug him constantly?), and Hawkeye tells a reporter that they have another important mission to take care of.
That mission turns out to be the long-delayed barbeque back at the Compound. Everyone has their masks off and is chowing down. Hawkeye plays a congratulatory message from Vision and Wonder Man reminds everyone that he no longer needs to breathe, which is why he survived being trapped at the bottom of the pool. Both Wondy and Tigra seem to have gotten past their self-doubts about being Avengers (and it seems like Stern may have been setting up a romance between the two of them). One of the things I liked about this miniseries is how Wondy and Tigra had their doubts (logical, considering their backstories), but Rhodey always seemed 100% down with being an Avenger. He wasn't arrogant about it, but he seemed confident enough to know he could cut it as an Avenger, unlike in the IronMan comics of the time, where he always seemed to have an inferiority complex. Anyway, Hawkeye ends the issue (and the miniseries) with "Once an Avenger, always an Avenger!" and we're told that the West Coasters will be appearing in Avengers #250 next (where I think they team up with the East Coast branch to fight Maelstrom).
I really liked this miniseries, maybe more now than I did back then, since I can appreciate more of the background and surrounding events now. Bob Hall's art is great (he would've been good on the ongoing series), and I love how Stern uses all kinds of character history and brings a bunch of other storylines into the series (Tony's booze problems, Secret Wars, the Casket of Ancient Winters, Spider Woman, etc.) I also like the way Stern writes these characters: Wondy and Tigra's doubts, Hawkeye having to be the calm leader instead of the hothead. Like I said before, I wish we'd gotten to see more of the characters from the cover of issue #1 (some of whom would've made great Avengers). I'm not sure about Shroud as an Avenger, but he might have made an interesting recurring character. And there were others (like Jessica Drew or Bill Foster) who could've been used too. I know Stern did have Foster lined up as the WCA's resident scientist, but once Hank Pym was brought in, Foster seemed to disappear pretty quick. I can't help wondering (one of those real life "What If?" scenarios) what it would've been like if Stern had written the regular West Coast Avengers series instead of Steve Englehart? Nothing against Englehart (I generally like his writing ... his Captain America run is classic), but some of his characterizations are a bit off, Tigra especially. He seemed to take all the nuance out of her. I liked some of his ideas (the way he wrote Firebird was interesting), but some of his choices left me a bit cold. I think if Stern had written both series at the same time, he could have coordinated the titles so they felt like two parts of a whole, instead of "Avengers" and "Avengers Junior", like we basically ended up with. Lots of people joke now about the West Coasters being lame knock-offs of the "real" Avengers, but Stern obviously meant them to be taken seriously ... hence their defeating Graviton with half as many Avengers as it took the first time. And maybe if Stern was writing both titles, he eventually would've worked some other characters into the book. Ah well, we'll never know what might have been!
Friday, May 22, 2015
This Cover Made Me Buy This Book -No, Really
Karen: It was such a great idea, I decided to try it too. How about this beauty from John Byrne and Tom Palmer in 1978? Could you turn this down if you saw it on the spinner rack? I know I couldn't.
Thursday, May 21, 2015
Name Your Poison
post on Zingers or Cupcakes, three years after it was published! Now that's some fine spelunking you've done, m'boy!
Doug: In one of his recent comments, C.K. stated that Mr. Pibb was his drink of choice -- of course that spurs today's post, where we'll shift from sugary confections of the cake variety to sugary confections of the fizzy liquid variety!
Doug: First off, I have to ask -- do you call it "soda", "pop", or something else? Where I live it's always been pop, but when most other places I've traveled soda seems to be the more common term. Regardless, what's your favorite drink? Is there a brand you favor over others? Are there drinks you don't care for at all? And what about branching this into iced tea -- sweet tea, or unsweetened?
Doug: Personally, I'm a Diet Dr. Pepper guy -- that's my go-to. After that, it's Diet Coke. I've never been one of those hardcore "gotta pick Pepsi over Coke (or vice versa)" guys. I'll drink Diet Pepsi, but given a choice I'll reach for the Coke. I do not at all care for "regular" pop -- after years of drinking diet sodas the sugar-sweetened stuff is just too thick and rich for me. I'll drink a root beer, but really, just a few of those a year will do me. Same with the lemon-limes, like 7-Up or Sprite. I like them, but don't as a rule buy them. A treat every now and then is Diet Coke Lime -- I miss the lemon version. Does anyone remember Pepsi Light (which wasn't light, but was infused with lemon flavor)?
Doug: And to set your mind for today's conversation, here are some pop cans from the Bronze Age. Ah, the memories!
Doug: In one of his recent comments, C.K. stated that Mr. Pibb was his drink of choice -- of course that spurs today's post, where we'll shift from sugary confections of the cake variety to sugary confections of the fizzy liquid variety!
Doug: First off, I have to ask -- do you call it "soda", "pop", or something else? Where I live it's always been pop, but when most other places I've traveled soda seems to be the more common term. Regardless, what's your favorite drink? Is there a brand you favor over others? Are there drinks you don't care for at all? And what about branching this into iced tea -- sweet tea, or unsweetened?
Doug: Personally, I'm a Diet Dr. Pepper guy -- that's my go-to. After that, it's Diet Coke. I've never been one of those hardcore "gotta pick Pepsi over Coke (or vice versa)" guys. I'll drink Diet Pepsi, but given a choice I'll reach for the Coke. I do not at all care for "regular" pop -- after years of drinking diet sodas the sugar-sweetened stuff is just too thick and rich for me. I'll drink a root beer, but really, just a few of those a year will do me. Same with the lemon-limes, like 7-Up or Sprite. I like them, but don't as a rule buy them. A treat every now and then is Diet Coke Lime -- I miss the lemon version. Does anyone remember Pepsi Light (which wasn't light, but was infused with lemon flavor)?
Doug: And to set your mind for today's conversation, here are some pop cans from the Bronze Age. Ah, the memories!
Wednesday, May 20, 2015
Discuss: Fabulous or Fiasco? Flash Finale
Karen: Anybody want to chat about last night's season finale of The Flash? I thought that despite an uneven but mostly entertaining season, the finale really delivered. And what a cliffhanger! It looks like this will be feeding directly into the new CW series, Legends of Tomorrow. There was so much going on, it's hard to focus on any one thing. How about Barry's decision? And is his timeline a paradox? Start chatting kids.
Tuesday, May 19, 2015
Subscribe to: Posts (Atom)


text:
Apple Inc. (AAPL) After Hours Trading
0.03%Get AAPL Alerts
*Delayed - data as of 06/03/2015 18:09 - Find a broker to begin trading AAPL now
Exchange: NASDAQ
Industry: Technology
Community Rating:
View: AAPL After Hours
Industry: Technology
Community Rating:
View: AAPL After Hours
Edit Symbol List
Enter up to 25 symbols separated by commas or spaces in the text box below. These symbols will be available during your session for use on applicable pages.
Don't know the stock symbol? Use the
Symbol Lookup tool.
Alphabetize the sort order of my symbols
Investing just got easier…
Sign up now to become a NASDAQ.com member and begin receiving instant notifications when key events occur that affect the stocks you follow.Access Now X
Save Stocks
Jun. 3, 2015 Market Close: $ 130.12
News for AAPL
Five Below Stays Above the Teen Retail Curve
6/3/2015 5:27:27 PM - Motley Fool
CBS Says Showtime's Stand-Alone Service To Start in July--Update
6/3/2015 5:23:00 PM - Dow Jones Business News
Correction on Showtime Story
6/3/2015 5:14:00 PM - Dow Jones Business News
Comcast, Time Warner Cable Still Rank Worst In Customer Service
6/3/2015 5:00:14 PM - Motley Fool
Stand-Alone Showtime To Start in July
6/3/2015 4:45:00 PM - Dow Jones Business News
Stand-Alone Showtime To Start July 12
6/3/2015 4:45:00 PM - Dow Jones Business News


text:
Federal Home Loan Banks
Browse articles from all of our Newsletters related to Federal Home Loan Banks.
May 22, 2015 - Inside The GSEs
FHLB Proposed Membership Rule Still Faces Uncertainty
The Federal Housing Finance Agency continues to mull over the decision on whether to ban captive insurance firms owned by real estate investment trusts from the system. The agency received 1,300 comment letters on the controversial proposal and Mel Watt, FHFAs director, was vague last week on when a final decision would be made. FHFA is continuing to evaluate the comments we received and we will come to a resolution as quickly as we can prudently do so, he said during the Federal Home Loan Banks Directors Conference in Washington. Last year, Watt raised safety and soundness concerns about captive insurers borrowing and joining the FHLB system. Some regulators are concerned that REITs and other financial...
May 22, 2015 - Inside The GSEs
FHLB Combined Net Income Rose Due to Higher Litigation Gains
The Federal Home Loan Bank system earned $1.015 billion in the first quarter of 2015, according to figures compiled by the systems Office of Finance, an 82.6 percent increase when compared to the same quarter in 2014. The sharp increase was primarily the result of higher gains on litigation settlements, according to the Office of Finance. Litigation settlements accounted for $480 million in gains for the three months ending on March 31. The OF said the bulk of it was driven by the FHLBank of San Franciscos $450 million settlement of certain claims arising from investments in private-label mortgage-backed securities. Total FHLBank assets for the first three months of the year were down at $879.9 billion, a 3.7 percent decrease from...
May 22, 2015 - Inside MBS & ABS
Nomura Considers Appeal of $805 Million Judgment, FHLBank Dismisses MBS Claims Against Some Banks
Nomura Holdings Inc. is mulling an appeal following last weeks court order that it, along with RBS Securities, pay Fannie Mae and Freddie Mac a total of $805.1 million to resolve claims arising from the pre-crisis sale of non-agency MBS to the government-sponsored enterprises. Judge Denise Cote of the U.S. District Court for the Southern District of New York rendered the judgment May 11 after a three-week bench trial in which she found Nomura and RBS liable for the claims brought by the Federal Housing Finance Agency. The MBS were backed by mortgages with an unpaid principal balance of about $2.05 billion at the time of purchase. Nomura and RBS, which underwrote four of the seven MBS deals at issue, provided...
May 22, 2015 - Inside MBS & ABS
MBS Market Faces Liquidity, Demand Issues When the Fed Finally Decides on Exit Strategy
The mortgage market faces a big challenge when the Federal Reserve figures out how to unload its massive $1.7 trillion portfolio of agency MBS, but anticipated widening of spreads could at least improve market liquidity. The fixed-income market has seen a sharp decline in trading volume resulting in part from regulatory issues, said Mike Fratantoni, chief economist at the Mortgage Bankers Association, during the groups annual secondary market conference in New York this week. Banks have been hoarding liquidity instead of providing it to the market, he said. Average daily trading volume of MBS has dropped...
May 21, 2015 - Inside Mortgage Finance
Dems Alternate Reg Relief Bill Would Confer QM Status on Portfolio Loans Only for Small Lenders
The noise over regulatory relief legislation is getting louder. Over the past week, Republicans in the Senate issued a clarification of sorts about their draft legislation, Democrats came up with a narrower alternative and the industry weighed in as the Senate Banking, Housing and Urban Affairs Committee prepared for a markup scheduled for late this week. A noteworthy provision in the Democrats proposal would extend qualified-mortgage status for loans originated and held in portfolio but only if the depository institution has less than $10 billion in assets. The GOP bill would extend this safe harbor to all banks, thrifts and credit unions. The Democratic proposal would bar...
May 21, 2015 - Inside Mortgage Finance
Analysts See Stronger Market in 2015, But Little Change In Fundamental Problems Facing the Mortgage Industry
Housing is showing some traction, but heavy regulation and enforcement continue to weigh on the mortgage market, according to analysts at this weeks secondary-market conference sponsored by the Mortgage Bankers Association in New York. Charles Gabriel, president of Capital Alpha Advisors, said there are some green shoots in the mortgage market, including signs of more home sales. But he characterized it as a mature market that is suboptimized. Lenders have paid massive penalties in lawsuits, he added, and there is no sign that they will expand the credit box. U.S. Bank was asked...
May 15, 2015 - Inside Nonconforming Markets
Shelby Bill Includes Support for Portfolio Loans
A draft of legislation unveiled this week by Sen. Richard Shelby, R-AL, includes provisions that would support portfolio lenders and real estate investments trusts, among a myriad of other issues. Support from Democrats for some of the provisions in the draft has been tepid, and its not clear that President Obama would sign a bill without changes. The Financial Regulatory Improvement Act of 2015 aims to improve access to credit and reduce the level of risk in our financial system, ...
May 8, 2015 - Inside The GSEs
FHFA Wants More Workplace, Business Diversity from FHLB
In efforts to encourage and promote diversity, the Federal Home Loan Banks and the Office of Finance were directed to include demographic data pertaining to their boards of directors in its annual minority and women inclusion reports submitted to the Federal Housing Finance Authority. FHFAs minority and women inclusion regulations reflect the importance the agency places on diversity and inclusion, said Sharron Levine, associate director at FHFAs Office of Minority & Women Inclusion. The amendments to the regulation focus attention on the Federal Home Loan Banks responsibility to promote diversity in nominating or soliciting nominees for positions on their respective boards of directors. The banks and Office of Finance must now be more specific and include descriptions of their outreach activities and....
April 24, 2015 - Inside The GSEs
Bill Lets Private Credit Unions Seek Membership in FHLB System
The House passed a bill last week that would allow privately-insured credit unions to apply for membership in the Federal Home Loan Bank System. H.R. 299, the Capital Access for Small Community Financial Institutions Act of 2015, was introduced by Reps. Joyce Beatty, D-OH, and Steve Stivers, R-OH, in January. Credit unions did not have federal insurance until 1970, and Stivers said that many small institutions decided to remain privately-insured and state regulated. While the number is small compared to the more than 6,000 credit unions in the country, the approximately 130 privately-insured credit unions spread out in nine states dont meet the FHLB System guidelines. Stivers said that a legislative oversight has blocked FHLB membership for this small...
April 10, 2015 - Inside The GSEs
FHLBank Topeka Extends MPF Mortgage Investing To Members
The Federal Home Loan Bank Topeka now lets members invest in residential whole loan mortgages originated under the Mortgage Partnership Finance Program as an added opportunity and as a risk-sharing measure. This is the first time that an FHLBank has opened its shared credit risk program to members. Dan Hess, chief business officer and senior vice president of FHLBank Topeka, told Inside The GSEs that the bank has had a lot of success with the MPF program since it began 15 years ago and wanted to extend the opportunity to its members. Its been a high quality asset for us with a low level of defaults throughout the financial crisis, he said.
April 10, 2015 - Inside The GSEs
Merger Creates Largest FHLB, More Than 100 Staff Laid Off
While creating the largest Federal Home Loan Bank in the system, both geographically and membership wise, about 75 percent of the Federal Home Loan Bank of Seattle workforce will be laid off due to a merger with the Federal Home Loan Bank of Des Moines. The merger, approved in December by the Federal Housing Finance Agency, officially goes into effect in June, trimming the Seattle banks workforce to just 35 employees in the regional office. About 109 employees will be laid off before 2015 ends. Both banks unanimously approved the merger and said it will result in a cooperative that is stronger than either bank on an individual basis. Once combined, the bank will be headquartered in Des Moines.
Industry Reports
Data Reports:
- GSE Seller Profile 1Q15
- GSE Private Mortgage Insurance Profile 1Q15
- Mortgage Profitability 4Q14
- Top Players 4Q14
- Agency Channel Analysis: 2014
Research Reports:
Most Popular Stories
- Dave Hisey Out as EVP of Nationstar Mortgage
- Chase to Issue a Jumbo MBS with Higher LTVs, Older Interest-Only Mortgages
- FHFA Pulls Down the Cone of Silence on Single-Security Timeline
- Ellingtons Target Date for Non-QM Acquisitions: Early Summer
- Oh, and Nationstars EVP of Human Resources is Retiring Too


text:
The latest version of Adobe Flash Player is required to watch this video.
Please click on the link below to download the latest version. Thanks!
JERUSALEM, Israel -- A 10-year-old Palestinian youngster can look forward to a whole new life thanks to a highly skilled Israeli medical team and a Jewish family who believes every life is worth saving.
The donor's family, Avi and Sarit Naor, said it didn't matter who got their son Noam's kidneys because "the most important thing is that more children will not have to continue getting kidney dialysis."
On Sunday, a team of specialists transplanted a kidney from the toddler, who had suffered irreversible brain damage from a two-story fall. A day after the surgery, the young Palestinian recipient was doing very well.
"He's doing fine, recovering well," Dr. Efrat Harlev, deputy to the CEO of Schneider Children's Medical Center in Petah Tikva, told CBN News.
One family's unspeakable tragedy gave new life to another child who has been kept alive since age 3 by dialysis treatments administered at Jerusalem's Sha'are Zedek Medical Center.
Schneider's is the only hospital in Israel doing pediatric transplants. A committee under the Ministry of Health keeps a detailed list of patients in need of any kind of organ transplant.
"In Israel, that means everyone who is an Israeli citizen, Jewish or Arab, is eligible," Dr. Harlev explained.
"In order to receive a donor organ, careful check is made to ensure a good match immunologically," she continued. "Only if there is no match in Israel, just like in this case, we turn to the Palestinian Authority for a suitable recipient."
Dr. Harlev said Israeli doctors often know the Palestinian children who need help.
"Usually we know these children because there's a lot of cooperation between Israel and the Palestinian Authority, especially with regard to pediatric patients," she said, something people often don't know about.
"Usually when you hear about Israel, it's about the conflict we're experiencing," Dr. Harlev said. "But what we'd like people to know is there is tremendous collaboration between Israel and the Palestinian Authority, especially with regard to the pediatric population."
And, she emphasized, it's not a "one-sided effort."
"We are working together to give better care to these children," Dr. Harlev said. "It is an effort that is above and beyond any conflict between Israelis and Palestinians."
The recipient's father said he didn't have words enough to thank the family who saved his son's life.
"We've been through many years of suffering when my son was on dialysis and his life was in danger," he said. "We are grateful for the donation and hope, God willing, the couple will be blessed enough to have another child."
Log in or create an account to post a comment.
Are you seeking answers in life? Are you hurting? Are you facing a difficult situation?
Find peace with God, discover more about God or send us your prayer request.
Call The 700 Club Prayer Center at 1 (800) 823-6053, 24 hours a day.
A caring friend will be there to pray with you in your time of need.
CBN News Internet Producer - Jerusalem
From her perch high atop the mountains surrounding Jerusalem, Tzippe Barrow helps provide a bird's eye view of events unfolding in her country.
She and her husband made aliyah (immigrated to Israel) several years ago. Barrow hopes that providing a biblical perspective of today's events in Israel will help people in the nations to better understand the centrality of this state and the Jewish people to God's unfolding plan of redemption for all mankind.
More Info
How Anti-Israel Incitement BackfiresKhaled Abu Toameh
Asylum Seekers, Beheaders and Mega MosquesSoeren Kern
Shavuot and US-Israel RelationsYoram Ettinger
Erdogan's Dream: The Sultan RulesBurak Bekdil
Obama's hypocrisyDr. Haim Shine
Defending Freedom of SpeechGeert Wilders
Op-Ed: Ship to GazaJudith Bergman
Obama's Policies to Empower ISIS ExposedRaymond Ibrahim
Op-Ed: Does the New York Times (and Haaretz) Have a Right to Exist?Jack Engelhard


text:
Aarhus United USA, Inc.
131 Marsh St
Newark, NJ 07114
Phone: 973-344-1300
Fax: N/A
Not Available
Not Available
Consumer Products->Food Processing
SIC Code:
2079 - Edible Fats and Oils
Full company description is available with the free trial.
Additional Info:
If you don't want to waste too much time looking for company information regarding Aarhus United Usa, Inc., a Food processing company, check out their Lead411 profile. Our profiles have linkedin data, phone numbers, cfo contacts, and more. It contains helpful contact information regarding top company officials, including that of Aarhus United Usa, Inc.'s CEO , and other Aarhus United Usa, Inc. email format addresses within the @aarhusunited.com domain. Aarhus United Usa, Inc. is based in Newark, NJ. If you sign up for our free trial you will see our firstname.lastname@example.com addresses.
Company Background:
Full company description is available with the free trial.
Similar Companies:
Campbell Soup Company
Have you been searching for Campbell Soup Company's contact information for hours? Have you been trying to find Campbell Soup Company's domain format email addresses?. Campbell Soup Company is a Food processing and is based in Camden, NJ and more information like linkedin facts, phone numbers, cfo executives and facebook profiles can be found within the Lead411 profile. If you sign up for our free trial you will see our firstname.lastname@example.com addresses.
Mondelez International, Inc
This member of the Food processing industry is located in East Hanover, NJ and you can find important contact information regarding significant company contacts on their Lead411 profile like linkedin, phone numbers, facebook and cfo details. The profile also contains Mondelez International, Inc email addresses which have a domain of @mondelezinternational.com format. If you sign up for our free trial you will see our email@example.com addresses.
J&J Snack Foods Corp
J&J Snack Foods Corp, a business led by CEO Gerald Shreiber, is part of the Food processing industry. J&J Snack Foods Corp email with the @jjsnack.com format, you can check their Lead411 profile. They hold their main office in Merchantville, NJ and more data like cfo contacts and linkedin data can be found within our profiles. If you sign up for our free trial you will see our firstname.lastname@example.com addresses.
Company Directory > Aarhus United USA, Inc.


text:
Artifact - Archaic Line (Graphics Remix) OFFICIAL VIDEO
3 years ago
Likes are an easy way to keep track of the videos you enjoy. Use likes to bookmark videos you want to watch again and again and again and again.
More stuff from Plugin Alliance
48 Videos
1 Like
4 Albums
TM + © 2015 Vimeo, LLC. All rights reserved.
Made with k in NYC.
Your content preferences apply to any Vimeo videos you view. Learn more about content preferences in our FAQ.


text:
British wendy finally squirts
Category: Old Mature Granny
Latina anal orgy fuck fun
Category: Cute Pale Latina
Busty anillos brenda james rides a big fat dong on kitchen floor
Category: Mom Mother Homemade
Milf squirts like crazy when she cums
Category: Masturbation milfs squirting
Over fourty orgy
Category: Hardcore Amateur Homemade
Three granny compilation
Category: Pussy Rubbing Fingering
V nasty-you already know me (xxx video)
Category: Amateur blowjobs interracial
Learning a valuable lesson
Category: Latina Mexicana Busty
Nasty little pervert slut loves to fuck
Category: Tight Big Tits
Fucking the farmers daughter
Category: Pornstar Reality Hardcore
Latin orgasm
Category: Amateur latin matures
Concert aftermath van party threesome
Category: Amateur Homemade Car
Anal Creampie
Category: Anal cream pie latin
Category: Amateur cream pie
Wife comes in when her huge mom rides my cock
Category: Sclip Mywifesmom Com
Spanish Chick Oozes Love Juice As She Gets Fucked
I wish she was my nurse
Category: Big boobs brunettes milfs
Seducing my friends mom
Category: Small Tits European
Black Teen Shows She Can Blow Cock As Good As Anyone
Category: Amateur anal cumshots
Using the delivery boi
Category: Anal femdom strapon
Dude lets bitch drain his lizard
Category: Hardcore European German
Phoebe gets fucked to be famous and rich
Category: Porn Cumshot Facial
Tight Little Teen bodies
Category: Cream pie teens threesomes
She pinned being rope tied
Category: Bdsm Bondage Extreme
Chubby sluts fucking compilation
Category: Doggystyle Riding Mature
Slut likes anal creampie
Category: Anal cream pie cumshots
Short but sweet creampie in the ass
Category: Anal cream pie
CreamPie Interracial
Category: Black and ebony blondes sex toys
Alysa anal open
Category: Anal cream pie interracial
Tracey Lain Gets The Ass Hammer
Category: Anal blondes cream pie
Big titties riding shotgun
Category: Busty Big Boobs
Blonde Is Filmed While She Bathes And Touches Herself
Geile arschsahne aus muttiarsch
Category: Anal cream pie milfs
Hot babes compilation
Category: Brazzers Com Blonde
Teacher takes dp lessons
Category: Hardcore Pussy Anal
Kristina Craves The Soul Pole
Celia beautiful blonde milf
Category: Amateur blondes milfs
Before Fucking She Loves Sucking Some Tasty Black Cock
Very Sexy African In Red Rides A Big Penis
Euro couple bathroom love
Category: Blonde Tattoo European
Birthday threeway....she blow out all of the candles and more.
Laura Anal Creampie
Category: Anal cream pie pornstars
Monet Reaped... BK201
Category: Anal black and ebony cream pie
Fat She Male In Motel Gets Tapped By Stanger
Heisse ladung sperma in prachtarsch gepumpt
Category: Amateur anal cream pie
Angel Eyes 03
Category: Black and ebony cream pie
Delicious flavored pussy juice
Category: Small Tits Blowjob
Anastasia Blue deepthroats Lexington Steele
Category: Interracial
She sucks off four
Category: Black and ebony blowjobs facials
Deep cream injection for melanie
Category: Sclip Big Tits
Jordan Nevaeh inc
Category: Babes cream pie
A Fuckin' Competition
Category: Brunettes cream pie interracial
Denisa creampie
Category: Cream pie
Category: Amateur arab
Cum Hungry Creampie
Category: Big boobs cream pie stockings
Julie fuck bbc leg keep open by she and pussy used part 2
Category: Amateur interracial voyeur
She gets a sloppy rimjob
Category: Anal brunettes hardcore
Beautiful Babe unaware
Category: Amateur
Teaser Girl, Qutie With A Booty
Category: Amateur babysitters webcams
BBC pummels tiny chick
Category: Interracial pov teens
Horny Slut Misty Gets Lucky And Rides A Black Cock
In the sauna
Category: Blonde Tight Hardcore
Lara Craft as a Nurse
Category: Amateur close-ups cream pie
Aneta Gets an Anal Creampie
SesshoMaru - TT
Category: Brunettes cream pie pornstars
Rump shake swallower
Public Camera Catches A Blonde Hottie Riding A Bull
Bigbooty Anal Teen Valerie Creamed
Category: Anal cream pie teens
She loves latex
Category: Bdsm pornstars latex
Latex femdom ass exam and cockmilking till cumshot
Category: Femdom handjobs
Drew rides and fucks
Category: Anal big boobs hidden cams
SesshoMaru - JM 2
Category: Blondes cream pie hardcore
Category: Amateur milfs
My wife allow me to fuck babysitter but only if she can watch me do it damm
Category: Amateur babes big boobs
SesshoMaru - KB
Category: Brunettes pornstars
Busty black sensation carmen hayes
Category: Ebony Tattoo Big
Esmeralda sodomyzed during holidays
Category: Anal brunettes milfs
This Milf Knows Her Assistant Will Do What She Say To Do
Category: Amateur blowjobs
Hot Asian Chick Goes Nude And Sucks An Ice Cream
Breanne benson switching her lover
Category: Babes Pussy Model
Category: Amateur masturbation voyeur
Thick wife smashed
Category: Cream pie cuckold interracial
Homemade orgy
Category: Amateur Homemade Groupsex
Thick Mature Brunette Is Filmed As She Touches Herself
Creamed that asshole!
Sexy wife shows how much she likes to suck dick.
Category: Amateur blowjobs brunettes
She Likes Fucking
Category: Amateur cuckold interracial
Asian chick charmane star loves to suck cock
Category: Asian Blowjob 69
Category: Amateur anal
Cream pie
Category: Yiffy Tits Anime
Submissive Whore Gets Shown What She Likes
Sabara Reaped... BK201
My mum riding her toy. Hidden cam
Category: Amateur hidden cams matures
Slender girlfriend fuck
Category: Amateur Homemade Blowjob
Qute Girl Freaking Horny
Category: Amateur anal teens
Even If She Struggles I Know She Really Likes It Rough
Finally she got it...yummy
Category: Amateur blowjobs cumshots
Pumping pussy
Category: Anal cream pie hardcore
A Wild Milf Strips While She Is Driving A Car
She just loses control
Category: Sclip Younglibertines Com
Blonde gets assfucked
Belicia ganged and creamed by thugs
Category: Babes Skinny Interacial
Hot negro nail
Category: Interracial Brunette Black
Great anal fuck 3
Semen Assasin
Category: Asian cumshots facials
Classic Teens Scene #25
Vintage Whores Show How To Ride Cock Like A Pro
Anal consumption #2
After A Blowjob She Pours Water Over Her Tight Suit
Kelly gets a creampie
Category: Cream pie pornstars
Milf Shows Microcock Guy She Is Boss
Category: Bdsm femdom stockings
Pregnant cream
Category: Pregnant
Indian Dude Fucking His Woman Until She Cums
Cute Bisexual Friends Loves That Cock To Ride
She lost those damn car keys again
Category: Funny Teen Fisting
Cuck creampie!
Category: Asian cream pie cuckold
Hot Mom Gets Fucked Good And Cream Pied
Asian Creampie From Big Black Cock
Category: Asian cream pie
I want to be on top
Category: Asian cream pie hairy
Aline IR Anal Creampie.
Category: Anal black and ebony hardcore
Megan Jones
Category: Cream pie interracial
Creampie Bride
Category: Cream pie cumshots
His dick blows his hot cum into her burning pussy
Category: Sclip Creampie Angels
Husband goes fising, she goes fucking
Category: Homemade Interacial Cuckold
Sexy chicks Breanne and Kagney play around with each other
Category: Amateur anal lesbians
Anal consumption #1
Brazilian cunting
Category: Babes Pussy Cumshot
Buddies Ex GF
Category: Amateur tits webcams
Eve angel seduces her way into a hot bathroom fuck
Category: Lingerie Fishnet Stockings
My gf cums
Beautiful Exhibitionist Stretching And Riding Big Cocks
SesshoMaru - FS
Whore Screams Out In Pleasure As She Gets A Rough Fucking
The Perfect Slut
Category: Bbw bdsm big boobs
SesshoMaru - SS 2
Category: Brunettes hardcore pornstars
Cheating Housewife Rides And Glides On Big Hard Cock
I need a new hard drive
Category: Japanese Chinese Babe
Teen Dominica
Category: Anal babysitters teens
Jada fire and carmen hayes hardcore threesome
Category: Stockings Fishnet Ebony
Sexy fucking (Cabinet420)
Category: Anal cream pie foot fetish
Bangin brunette squirts till she drops
Category: brunette squirts till she drops
Nina Hartley Knows What She Wants Out Of Sex
Flavour asian bitch in threesome
Category: Dp Threesomes Groupsex
Hot brunette amateur milf rides hubbys cock
Category: Milf Hardcore Ass
Hot Milf Finally Gets That Fuck She Always Wanted
She is tiny
Category: Teenager Teens Brunettes
Cute Is Eager To Show How Wide She Can Stretch Her Cunt
Lucy Thai all hole filled
Category: Asian pornstars
Pennsylvania Gangbang Cumslut #3
Category: Amateur bbw tits
Jasmine Luna Gold
Category: Anal cream pie threesomes
MILFA IV...usb
Nicole fucks on red couch
Category: Brunette Teenager Petite
Big facial CS after extensive anal ride
Category: Anal facials interracial
Beach Babe Gets Pussy Sucked And Rides Dick In The Sand
She is a dirty bitch
Category: Homemade First Time
She learns the after tennis
Category: Blondes hardcore matures
Cunt for creampie
Tasty Bailey Brooks Anal
Category: Anal blowjobs cream pie
Amateur german brunette
Dana DeArmond creampie
Category: Brunettes cream pie
Sweet one sucks
Category: Ass Fuck Fucking
She go for it
Category: Amateur masturbation matures
Sexy Slut Milks Her Mammories Till She Gets Enough
Category: Big boobs blondes cream pie
Category: Amateur Homemade Pov
Dp makes her scream
She s so hot
Category: S so hot
My sweet japanese girl rides dildo
Category: Asian japanese masturbation
Marianna masturbating out loud
Category: Masturbation sex toys teens
Hairy but horny
She does anal
Category: Anal babes blondes
Bustin' Tiny Claudia's Ass !!!
Category: Anal babes cream pie
Jenaveve Jolie
Category: Cream pie latin pornstars
Adult Pussy Hot Ride By Teen Cock Hot Ride
Euro trash wants your penis
Category: Brunette Small Tits
Housewife takes it hard
Category: Vintage Retro Reality
Fishnet fuck
Category: Anal cumshots hardcore
Usaging Her boi's Nose
Category: Anal face sitting femdom
Can you play like her
Category: Amateur softcore teens
Persia decarlo banged by huge cock
Category: Riding Big Dick
Deep In Veronica Jett's Ass
Category: Anal brunettes cream pie
Matures Silver Stallion And Susie Bee Play Until She Squirts
More than an afternoon lesson...
Category: Pigtails Teen Teacher
Videosexarchive.com is a global porn search engine, we index and provide our visitors the most convenient way to search the best porn videos ever posted on the Internet. Videosexarchive.com has a zero-tolerance policy against illegal porn. Videosexarchive.com does not host any videos on its servers. All porn pictures and porn videos are provided by third party tube sites, and we have no control over the content on these sites. Also, we take no responsibility for the content on any website which we link to.


text:
Trade analysis: Cabrera to Twins
Jul 31, 2009, 4:15 PM EDT
Twins acquire shortstop Orlando Cabrera from the Athletics in exchange for minor-league infielder Tyler Ladendorf.
Looking to shore up their middle infield, the Twins were also connected
to second baseman Freddy Sanchez, but considering that the Giants gave
up former first-round pick Tim Alderson to land him, this is a bargain
by comparison, especially with the Athletics kicking in some cash.
Cabrera, now 34, appears to have lost a step defensively this year
(-7.9 UZR and 14 errors), but when your shortstop options have combined
for a pathetic .241/.303/.330 line, who cares, really.
Cabrera got off to an awful start with the Athletics, and through
June he had a positively lousy .247/.290/.316 line. But he has been
unconscious in July, batting .373/.400/.500 with two homers, 16 RBI and
nine stolen bases. As I mentioned earlier, he leads the majors with 41
hits this month. The Twins have landed a proven veteran with
post-season experience. He'll do just fine.
As for Ladendorf, he was the Twins second-round pick in 2008. The
21-year-old shortstop batted .410/.500/.721 with four homers and 17 RBI
in rookie ball, but has struggled since being promoted to Single-A
The important thing for Atheltics' fans to know is that Cliff
Pennington is on his way to Oakland. In the end, Billy Beane did well
to get something for Cabrera, knowing that they couldn't get any
compensation for him over the winter.
Top Posts
- So that Juan Uribe trade to the Braves is back on … 5
- Ruben Amaro apologizes for comments about fans, admits he may have been late on rebuild 16
- Jonathan Lucroy expected to rejoin the Brewers on Monday 0
- More drama in Miami: Marlins demote third base coach Brett Butler after "confusion" over signs 33
- Ruben Amaro dismisses fans who "bitch and complain" about the Phillies' moves 70
- And That Happened: Monday's scores and highlights 67
- Reds finally shut down Devin Mesoraco seven weeks after hip injury, surgery may be needed 7
- Mike Napoli continues to kill the Angels 7
Most Commented
- And That Happened: Wednesday's scores and highlights (133)
- Bryce Harper on Marvin Hudson ejection: "I don't think 40,000 people came to watch him ump" (132)
- Bryce Harper ejected for second time in a week (122)
- And That Happened: Tuesday's scores and highlights (101)
- And That Happened: Thursday's scores and highlights (96)
- J. Hamilton (3408)
- A. Pujols (3214)
- J. Lucroy (3155)
- Y. Puig (2973)
- D. Wright (2936)
- D. Travis (2913)
- B. Harper (2565)
- R. Castillo (2564)
- C. Crisp (2385)
- B. Zobrist (2382)