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| On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations
Agarwal, Ravi P.; Mustafa, Octavian G.
We improve several recent results in the asymptotic integration theory of nonlinear ordinary differential equations via a variant of the method devised by J. K. Hale and N. Onuchic The results are used for investigating the existence of positive solutions to certain reaction-diffusion equations.
| Browder's Convergence for One-Parameter Nonexpansive Semigroups
Akiyama, Shigeki; Suzuki, Tomonari
We give the sufficient and necessary conditions of Browder's convergence theorem for one-parameter nonexpansive semigroups which was proved by Suzuki. We also discuss the perfect kernels of topological spaces.
| A Mahler Measure of a $K3$ Surface Expressed as a Dirichlet $L$-Series
Bertin, Marie José
We present another example of a $3$-variable polynomial defining a $K3$-hypersurface and having a logarithmic Mahler measure expressed in terms of a Dirichlet $L$-series.
| Endomorphisms of Two Dimensional Jacobians and Related Finite Algebras
Butske, William
Zarhin proves that if $C$ is the curve $y^2=f(x)$ where $\textrm{Gal}_{\mathbb{Q}}(f(x))=S_n$ or $A_n$, then ${\textrm{End}}_{\overline{\mathbb{Q}}}(J)=\mathbb{Z}$. In seeking to examine his result in the genus $g=2$ case supposing other Galois groups, we calculate $\textrm{End}_{\overline{\mathbb{Q}}}(J)\otimes_{\mathbb{Z}} \mathbb{F}_2$ for a genus $2$ curve where $f(x)$ is irreducible. In particular, we show that unless the Galois group is $S_5$ or $A_5$, the Galois group does not determine ${\textrm{End}}_{\overline{\mathbb{Q}}}(J)$.
| Freyd's Generating Hypothesis for Groups with Periodic Cohomology
Chebolu, Sunil K.; Christensen, J. Daniel; Mináč, Ján
Let $G$ be a finite group, and let $k$ be a field whose characteristic $p$ divides the order of $G$. Freyd's generating hypothesis for the stable module category of $G$ is the statement that a map between finite-dimensional $kG$-modules in the thick subcategory generated by $k$ factors through a projective if the induced map on Tate cohomology is trivial. We show that if $G$ has periodic cohomology, then the generating hypothesis holds if and only if the Sylow $p$-subgroup of $G$ is $C_2$ or $C_3$. We also give some other conditions that are equivalent to the GH for groups with periodic cohomology.
| Extension of Some Theorems of W. Schwarz
Coons, Michael
In this paper, we prove that a non--zero power series $F(z)\in\mathbb{C} [\mkern-3mu[ z]\mkern-3mu] $ satisfying $$F(z^d)=F(z)+\frac{A(z)}{B(z)},$$ where $d\geq 2$, $A(z),B(z)\in\mathbb{C}[z]$ with $A(z)\neq 0$ and $\deg A(z),\deg B(z)<d$ is transcendental over $\mathbb{C}(z)$. Using this result and a theorem of Mahler's, we extend results of Golomb and Schwarz on transcendental values of certain power series. In particular, we prove that for all $k\geq 2$ the series $G_k(z):= \sum_{n=0}^\infty z^{k^n}(1-z^{k^n})^{-1}$ is transcendental for all algebraic numbers $z$ with $|z|<1$. We give a similar result for $F_k(z):= \sum_{n=0}^\infty z^{k^n} (1+z^{k^n})^{-1}$. These results were known to Mahler, though our proofs of the function transcendence are new and elementary; no linear algebra or differential calculus is used.
| An $E_8$ Correspondence for Multiplicative Eta-Products
Cummins, C. J.; Duncan, J. F.
We describe an $E_8$ correspondence for the multiplicative eta-products of weight at least $4$.
| Classification of Inductive Limits of Outer Actions of ${\mathbb R}$ on Approximate Circle Algebras
Dean, Andrew J.
In this paper we present a classification, up to equivariant isomorphism, of $C^*$-dynamical systems $(A,{\mathbb R},\alpha )$ arising as inductive limits of directed systems $\{ (A_n,{\mathbb R},\alpha_n),\varphi_{nm}\}$, where each $A_n$ is a finite direct sum of matrix algebras over the continuous functions on the unit circle, and the $\alpha_n$s are outer actions generated by rotation of the spectrum.
| Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals
Divaani-Aazar, Kamran; Hajikarimi, Alireza
Let $\mathfrak a$ be an ideal of a commutative Noetherian ring $R$ and $M$ and $N$ two finitely generated $R$-modules. Our main result asserts that if $\dim R/\mathfrak a\leq 1$, then all generalized local cohomology modules $H^i_{\mathfrak a}(M,N)$ are $\mathfrak a$-cofinite.
| Inequalities for Eigenvalues of a General Clamped Plate Problem
Ghanbari, K.; Shekarbeigi, B.
Let $D$ be a connected bounded domain in $\mathbb{R}^n$. Let $0<\mu_1\leq\mu_2\leq\dots\leq\mu_k\leq\cdots$ be the eigenvalues of the following Dirichlet problem: $$ \begin{cases}\Delta^2u(x)+V(x)u(x)=\mu\rho(x)u(x),\quad x\in D u|_{\partial D}=\frac{\partial u}{\partial n}|_{\partial D}=0, \end{cases} $$ where $V(x)$ is a nonnegative potential, and $\rho(x)\in C(\bar{D})$ is positive. We prove the following inequalities: $$\mu_{k+1}\leq\frac{1}{k}\sum_{i=1}^k\mu_i+\Bigl[\frac{8(n+2)}{n^2}\Bigl(\frac{\rho_{\max}} {\rho_{\min}}\Bigr)^2\Bigr]^{1/2}\times \frac{1}{k}\sum_{i=1}^k[\mu_i(\mu_{k+1}-\mu_i)]^{1/2}, $$ $$\frac{n^2k^2}{8(n+2)}\leq \Bigl(\frac{\rho_{\max}}{\rho_{\min}}\Bigr)^2\Bigl[\sum_{i=1}^k\frac{\mu_i^{1/2}}{\mu_{k+1}-\mu_i}\Bigr] \times\sum_{i=1}^k\mu_i^{1/2}. $$
| Similarity and Coincidence Isometries for Modules
Glied, Svenja
The groups of (linear) similarity and coincidence isometries of certain modules $\varGamma$ in $d$-dimensional Euclidean space, which naturally occur in quasicrystallography, are considered. It is shown that the structure of the factor group of similarity modulo coincidence isometries is the direct sum of cyclic groups of prime power orders that divide $d$. In particular, if the dimension $d$ is a prime number $p$, the factor group is an elementary abelian $p$-group. This generalizes previous results obtained for lattices to situations relevant in quasicrystallography.
| On Segre Forms of Positive Vector Bundles
Guler, Dincer
The goal of this note is to prove that the signed Segre forms of Griffiths' positive vector bundles are positive.
| On Characterizations of Real Hypersurfaces in a Complex Space Form with $\eta$-Parallel Shape Operator
Kon, S. H.; Loo, Tee-How
In this paper we study real hypersurfaces in a non-flat complex space form with $\eta$-parallel shape operator. Several partial characterizations of these real hypersurfaces are obtained.
| Characterizations of Three Classes of Zero-Divisor Graphs
LaGrange, John D.
The zero-divisor graph $\Gamma(R)$ of a commutative ring $R$ is the graph whose vertices consist of the nonzero zero-divisors of $R$ such that distinct vertices $x$ and $y$ are adjacent if and only if $xy=0$. In this paper, a characterization is provided for zero-divisor graphs of Boolean rings. Also, commutative rings $R$ such that $\Gamma(R)$ is isomorphic to the zero-divisor graph of a direct product of integral domains are classified, as well as those whose zero-divisor graphs are central vertex complete.
| Projectively Flat Fourth Root Finsler Metrics
Li, Benling; Shen, Zhongmin
In this paper, we study locally projectively flat fourth root Finsler metrics and their generalized metrics. We prove that if they are irreducible, then they must be locally Minkowskian.
| A Characterization of Bergman Spaces on the Unit Ball of ${\mathbb C}^n$. II
Li, Songxiao; Wulan, Hasi; Zhu, Kehe
It has been shown that a holomorphic function $f$ in the unit ball $\mathbb{B}_n$ of ${\mathbb C}_n$ belongs to the weighted Bergman space $A^p_\alpha$, $p>n+1+\alpha$, if and only if the function $|f(z)-f(w)|/|1-\langle z,w\rangle|$ is in $L^p(\mathbb{B}_n\times\mathbb{B}_n,dv_\beta \times dv_\beta)$, where $\beta=(p+\alpha-n-1)/2$ and $dv_\beta(z)= (1-|z|^2)^\beta\,dv(z)$. In this paper we consider the range $0<p<n+1+\alpha$ and show that in this case, $f\in A^p_\alpha$ (i)~if and only if the function $|f(z)-f(w)|/|1-\langle z, w\rangle|$ is in $L^p(\mathbb{B}_n\times\mathbb{B}_n,dv_\alpha\times dv_\alpha)$, (ii)~if and only if the function $|f(z)-f(w)|/|z-w|$ is in $L^p(\mathbb{B}_n\times\mathbb{B}_n,dv_\alpha\times dv_\alpha)$. We think the revealed difference in the weights for the double integrals between the cases $0<p<n+1+\alpha$ and $p>n+1+\alpha$ is particularly interesting.
| Artinianness of Certain Graded Local Cohomology Modules
Mafi, Amir; Saremi, Hero
We show that if $R=\bigoplus_{n\in\mathbb{N}_0}R_n$ is a Noetherian homogeneous ring with local base ring $(R_0,\mathfrak{m}_0)$, irrelevant ideal $R_+$, and $M$ a finitely generated graded $R$-module, then $H_{\mathfrak{m}_0R}^j(H_{R_+}^t(M))$ is Artinian for $j=0,1$ where $t=\inf\{i\in{\mathbb{N}_0}: H_{R_+}^i(M)$ is not finitely generated $\}$. Also, we prove that if $\operatorname{cd}(R_+,M)=2$, then for each $i\in\mathbb{N}_0$, $H_{\mathfrak{m}_0R}^i(H_{R_+}^2(M))$ is Artinian if and only if $H_{\mathfrak{m}_0R}^{i+2}(H_{R_+}^1(M))$ is Artinian, where $\operatorname{cd}(R_+,M)$ is the cohomological dimension of $M$ with respect to $R_+$. This improves some results of R. Sazeedeh.
| Subdivisions of Simplicial Complexes Preserving the Metric Topology
Mine, Kotaro; Sakai, Katsuro
Let $|K|$ be the metric polyhedron of a simplicial complex $K$. In this paper, we characterize a simplicial subdivision $K'$ of $K$ preserving the metric topology for $|K|$ as the one such that the set $K'{}^{(0)}$ of vertices of $K'$ is discrete in $|K|$. We also prove that two such subdivisions of $K$ have such a common subdivision.
| Involutions Fixing $F^n \cup \{\text{Indecomposable}\}$
Pergher, Pedro L. Q.
Let $M^m$ be an $m$-dimensional, closed and smooth manifold, equipped with a smooth involution $T\colon M^m \to M^m$ whose fixed point set has the form $F^n \cup F^j$, where $F^n$ and $F^j$ are submanifolds with dimensions $n$ and $j$, $F^j$ is indecomposable and $ n >j$. Write $n-j=2^pq$, where $q \ge 1$ is odd and $p \geq 0$, and set $m(n-j) = 2n+p-q+1$ if $p \leq q + 1$ and $m(n-j)= 2n + 2^{p-q}$ if $p \geq q$. In this paper we show that $m \le m(n-j) + 2j+1$. Further, we show that this bound is almost best possible, by exhibiting examples $(M^{m(n-j) +2j},T)$ where the fixed point set of $T$ has the form $F^n \cup F^j$ described above, for every $2 \le j <n$ and $j$ not of the form $2^t-1$ (for $j=0$ and $2$, it has been previously shown that $m(n-j) +2j$ is the best possible bound). The existence of these bounds is guaranteed by the famous $5/2$-theorem of J. Boardman, which establishes that under the above hypotheses $m \le \frac{5} {2}n$.
| Hausdorff Prime Matrices
Rhoades, B. E.
In this paper we give the form of every multiplicative Hausdorff prime matrix, thus answering a long-standing open question.
| Linear Dispersive Decay Estimates for the 3+1 Dimensional Water Wave Equation with Surface Tension
Spirn, Daniel; Wright, J. Douglas
We consider the linearization of the three-dimensional water waves equation with surface tension about a flat interface. Using oscillatory integral methods, we prove that solutions of this equation demonstrate dispersive decay at the somewhat surprising rate of $t^{-5/6}$. This rate is due to competition between surface tension and gravitation at $O(1)$ wave numbers and is connected to the fact that, in the presence of surface tension, there is a so-called "slowest wave". Additionally, we combine our dispersive estimates with $L^2$ type energy bounds to prove a family of Strichartz estimates.
| Yet Another Solution to the Burnside Problem for Matrix Semigroups
Steinberg, Benjamin
We use the kernel category to give a finiteness condition for semigroups. As a consequence we provide yet another proof that finitely generated periodic semigroups of matrices are finite.
| Rational Points in Arithmetic Progressions on $y^2=x^n+k$
Ulas, Maciej
Let $C$ be a hyperelliptic curve given by the equation $y^2=f(x)$ for $f\in\mathbb{Z}[x]$ without multiple roots. We say that points $P_{i}=(x_{i}, y_{i})\in C(\mathbb{Q})$ for $i=1,2,\dots, m$ are in arithmetic progression if the numbers $x_{i}$ for $i=1,2,\dots, m$ are in arithmetic progression.
| Abelian Gradings on Upper Block Triangular Matrices
Valenti, Angela; Zaicev, Mikhail
Let $G$ be an arbitrary finite abelian group. We describe all possible $G$-gradings on upper block triangular matrix algebras over an algebraically closed field of characteristic zero.
| Positive Solutions of Impulsive Dynamic System on Time Scales
Wang, Da-Bin
In this paper, some criteria for the existence of positive solutions of a class of systems of impulsive dynamic equations on time scales are obtained by using a fixed point theorem in cones.
| Limit Sets of Typical Homeomorphisms
Bernardes, Nilson C.
Given an integer $n \geq 3$, a metrizable compact topological $n$-manifold $X$ with boundary, and a finite positive Borel measure $\mu$ on $X$, we prove that for the typical homeomorphism $f \colon X \to X$, it is true that for $\mu$-almost every point $x$ in $X$ the limit set $\omega(f,x)$ is a Cantor set of Hausdorff dimension zero, each point of $\omega(f,x)$ has a dense orbit in $\omega(f,x)$, $f$ is non-sensitive at each point of $\omega(f,x)$, and the function $a \to \omega(f,a)$ is continuous at $x$.
| On Algebraically Maximal Valued Fields and Defectless Extensions
Bishnoi, Anuj; Khanduja, Sudesh K.
Let $v$ be a Henselian Krull valuation of a field $K$. In this paper, the authors give some necessary and sufficient conditions for a finite simple extension of $(K,v)$ to be defectless. Various characterizations of algebraically maximal valued fields are also given which lead to a new proof of a result proved by Yu. L. Ershov.
| Convergence in Capacity
Cegrell, Urban
In this note we study the convergence of sequences of Monge-Ampère measures $\{(dd^cu_s)^n\}$, where $\{u_s\}$ is a given sequence of plurisubharmonic functions, converging in capacity.
| Description of Entire Solutions of Eiconal Type Equations
Chang, Der-Chen; Li, Bao Qin
The paper describes entire solutions to the eiconal type non-linear partial differential equations, which include the eiconal equations $(X_1(u))^2+(X_2(u))^2=1$ as special cases, where $X_1=p_1{\partial}/{\partial z_1}+p_2{\partial}/{\partial z_2}$, $X_2=p_3{\partial}/{\partial z_1}+p_4{\partial}/{\partial z_2}$ are linearly independent operators with $p_j$ being arbitrary polynomials in $\mathbf{C}^2$.
| A Note on the Antipode for Algebraic Quantum Groups
Delvaux, L.; Van Daele, A.; Wang, Shuanhong
Recently, Beattie, Bulacu ,and Torrecillas proved Radford's formula for the fourth power of the antipode for a co-Frobenius Hopf algebra.
| On the Existence of the Graded Exponent for Finite Dimensional $\mathbb{Z}_p$-graded Algebras
Di Vincenzo, M. Onofrio; Nardozza, Vincenzo
Let $F$ be an algebraically closed field of characteristic zero, and let $A$ be an associative unitary $F$-algebra graded by a group of prime order. We prove that if $A$ is finite dimensional then the graded exponent of $A$ exists and is an integer.
| Uniqueness Implies Existence and Uniqueness Conditions for a Class of $(k+j)$-Point Boundary Value Problems for $n$-th Order Differential Equations
Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali
For the $n$-th order nonlinear differential equation, $y^{(n)} = f(x, y, y', \dots, y^{(n-1)})$, we consider uniqueness implies uniqueness and existence results for solutions satisfying certain $(k+j)$-point boundary conditions for $1\le j \le n-1$ and $1\leq k \leq n-j$. We define $(k;j)$-point unique solvability in analogy to $k$-point disconjugacy and we show that $(n-j_{0};j_{0})$-point unique solvability implies $(k;j)$-point unique solvability for $1\le j \le j_{0}$, and $1\leq k \leq n-j$. This result is analogous to $n$-point disconjugacy implies $k$-point disconjugacy for $2\le k\le n-1$.
| The Group $\operatorname{Aut}(\mu)$ is Roelcke Precompact
Glasner, Eli
Following a similar result of Uspenskij on the unitary group of a separable Hilbert space, we show that, with respect to the lower (or Roelcke) uniform structure, the Polish group $G= \operatorname{Aut}(\mu)$ of automorphisms of an atomless standard Borel probability space $(X,\mu)$ is precompact. We identify the corresponding compactification as the space of Markov operators on $L_2(\mu)$ and deduce that the algebra of right and left uniformly continuous functions, the algebra of weakly almost periodic functions, and the algebra of Hilbert functions on $G$, i.e., functions on $G$ arising from unitary representations, all coincide. Again following Uspenskij, we also conclude that $G$ is totally minimal.
| Atomic Decomposition and Boundedness of Operators on Weighted Hardy Spaces
Han, Yongsheng; Lee, Ming-Yi; Lin, Chin-Cheng
In this article, we establish a new atomic decomposition for $f\in L^2_w\cap H^p_w$, where the decomposition converges in $L^2_w$-norm rather than in the distribution sense. As applications of this decomposition, assuming that $T$ is a linear operator bounded on $L^2_w$ and $0<p\le 1$, we obtain (i) if $T$ is uniformly bounded in $L^p_w$-norm for all $w$-$p$-atoms, then $T$ can be extended to be bounded from $H^p_w$ to $L^p_w$; (ii) if $T$ is uniformly bounded in $H^p_w$-norm for all $w$-$p$-atoms, then $T$ can be extended to be bounded on $H^p_w$; (iii) if $T$ is bounded on $H^p_w$, then $T$ can be extended to be bounded from $H^p_w$ to $L^p_w$.
| A Note on the Vanishing of Certain Local Cohomology Modules
Hellus, M.
For a finite module $M$ over a local, equicharacteristic ring $(R,m)$, we show that the well-known formula $\textrm{cd}(m,M)=\dim M$ becomes trivial if ones uses Matlis duals of local cohomology modules together with spectral sequences. We also prove a new ring-theoretic vanishing criterion for local cohomology modules.
| The Verdier Hypercovering Theorem
Jardine, J. F.
This note gives a simple cocycle-theoretic proof of the Verdier hypercovering theorem. This theorem approximates morphisms $[X,Y]$ in the homotopy category of simplicial sheaves or presheaves by simplicial homotopy classes of maps, in the case where $Y$ is locally fibrant. The statement proved in this paper is a generalization of the standard Verdier hypercovering result in that it is pointed (in a very broad sense) and there is no requirement for the source object $X$ to be locally fibrant.
| Non-Discrete Complex Hyperbolic Triangle Groups of Type $(n,n, \infty;k)$
Kamiya, Shigeyasu; Parker, John R.; Thompson, James M.
A complex hyperbolic triangle group is a group generated by three involutions fixing complex lines in complex hyperbolic space. Our purpose in this paper is to improve a previous result and to discuss discreteness of complex hyperbolic triangle groups of type $(n,n,\infty;k)$.
| From Matrix to Operator Inequalities
Loring, Terry A.
We generalize Löwner's method for proving that matrix monotone functions are operator monotone. The relation $x\leq y$ on bounded operators is our model for a definition of $C^{*}$-relations being residually finite dimensional.
| Rational Homogeneous Algebras
MacDougall, J. A.; Sweet, L. G.
An algebra $A$ is homogeneous if the automorphism group of $A$ acts transitively on the one-dimensional subspaces of $A$. The existence of homogeneous algebras depends critically on the choice of the scalar field. We examine the case where the scalar field is the rationals. We prove that if $A$ is a rational homogeneous algebra with $\operatorname{dim} A>1$, then $A^{2}=0$.
| Convolution Inequalities in $l_p$ Weighted Spaces
Nhan, Nguyen Du Vi; Duc, Dinh Thanh
Various weighted $l_p$-norm inequalities in convolutions are derived by a simple and general principle whose $l_2$ version was obtained by using the theory of reproducing kernels. Applications to the Riemann zeta function and a difference equation are also considered.
| The Secondary Chern-Euler Class for a General Submanifold
Nie, Zhaohu
We define and study the secondary Chern-Euler class for a general submanifold of a Riemannian manifold. Using this class, we define and study the index for a vector field with non-isolated singularities on a submanifold. As an application, we give conceptual proofs of a result of Chern.
| On Modules Whose Proper Homomorphic Images Are of Smaller Cardinality
Oman, Greg; Salminen, Adam
Let $R$ be a commutative ring with identity, and let $M$ be a unitary module over $R$. We call $M$ H-smaller (HS for short) if and only if $M$ is infinite and $|M/N|<|M|$ for every nonzero submodule $N$ of $M$. After a brief introduction, we show that there exist nontrivial examples of HS modules of arbitrarily large cardinality over Noetherian and non-Noetherian domains. We then prove the following result: suppose $M$ is faithful over $R$, $R$ is a domain (we will show that we can restrict to this case without loss of generality), and $K$ is the quotient field of $R$. If $M$ is HS over $R$, then $R$ is HS as a module over itself, $R\subseteq M\subseteq K$, and there exists a generating set $S$ for $M$ over $R$ with $|S|<|R|$. We use this result to generalize a problem posed by Kaplansky and conclude the paper by answering an open question on Jónsson modules.
| Automorphisms of Iterated Wreath Product $p$-Groups
Riedl, Jeffrey M.
We determine the order of the automorphism group $\operatorname{Aut}(W)$ for each member $W$ of an important family of finite $p$-groups that may be constructed as iterated regular wreath products of cyclic groups. We use a method based on representation theory.
| Eisenstein Series and Modular Differential Equations
Sebbar, Abdellah; Sebbar, Ahmed
The purpose of this paper is to solve various differential equations having Eisenstein series as coefficients using various tools and techniques. The solutions are given in terms of modular forms, modular functions, and equivariant forms.
| A Ramsey Theorem with an Application to Sequences in Banach Spaces
Service, Robert
The notion of a maximally conditional sequence is introduced for sequences in a Banach space. It is then proved using Ramsey theory that every basic sequence in a Banach space has a subsequence which is either an unconditional basic sequence or a maximally conditional sequence. An apparently novel, purely combinatorial lemma in the spirit of Galvin's theorem is used in the proof. An alternative proof of the dichotomy result for sequences in Banach spaces is also sketched, using the Galvin-Prikry theorem.
| Maximal Sets of Pairwise Orthogonal Vectors in Finite Fields
Vinh, Le Anh
Given a positive integer $n$, a finite field $\mathbb{F}_q$ of $q$ elements ($q$ odd), and a non-degenerate symmetric bilinear form $B$ on $\mathbb{F}_q^n$, we determine the largest possible cardinality of pairwise $B$-orthogonal subsets $\mathcal{E} \subseteq \mathbb{F}_q^n$, that is, for any two vectors $\mathbf{x}, \mathbf{y} \in \mathcal{E}$, one has $B (\mathbf{x}, \mathbf{y}) = 0$.
| Convergence Rates of Cascade Algorithms with Infinitely Supported Masks
Yang, Jianbin; Li, Song
We investigate the solutions of refinement equations of the form $$ \phi(x)=\sum_{\alpha\in\mathbb Z^s}a(\alpha)\:\phi(Mx-\alpha), $$ where the function $\phi$ is in $L_p(\mathbb R^s)$$(1\le p\le\infty)$, $a$ is an infinitely supported sequence on $\mathbb Z^s$ called a refinement mask, and $M$ is an $s\times s$ integer matrix such that $\lim_{n\to\infty}M^{-n}=0$. Associated with the mask $a$ and $M$ is a linear operator $Q_{a,M}$ defined on $L_p(\mathbb R^s)$ by $Q_{a,M} \phi_0:=\sum_{\alpha\in\mathbb Z^s}a(\alpha)\phi_0(M\cdot-\alpha)$. Main results of this paper are related to the convergence rates of $(Q_{a,M}^n \phi_0)_{n=1,2,\dots}$ in $L_p(\mathbb R^s)$ with mask $a$ being infinitely supported. It is proved that under some appropriate conditions on the initial function $\phi_0$, $Q_{a,M}^n \phi_0$ converges in $L_p(\mathbb R^s)$ with an exponential rate.
| A Note on the Diophantine Equation $x^2 + y^6 = z^e$, $e \geq 4$
Zelator, Konstantine
We consider the diophantine equation $x^2 + y^6 = z^e$, $e \geq 4$. We show that, when $e$ is a multiple of $4$ or $6$, this equation has no solutions in positive integers with $x$ and $y$ relatively prime. As a corollary, we show that there exists no primitive Pythagorean triangle one of whose leglengths is a perfect cube, while the hypotenuse length is an integer square.
| Univalently Induced, Closed Range, Composition Operators on the Bloch-type Spaces
Zorboska, Nina
While there is a large variety of univalently induced closed range composition operators on the Bloch space, we show that the only univalently induced, closed range, composition operators on the Bloch-type spaces $B^{\alpha}$ with $\alpha \ne 1$ are the ones induced by a disc automorphism.
| Complemented Subspaces of Linear Bounded Operators
Bahreini, Manijeh; Bator, Elizabeth; Ghenciu, Ioana
We study the complementation of the space $W(X,Y)$ of weakly compact operators, the space $K(X,Y)$ of compact operators, the space $U(X,Y)$ of unconditionally converging operators, and the space $CC(X,Y)$ of completely continuous operators in the space $L(X,Y)$ of bounded linear operators from $X$ to $Y$. Feder proved that if $X$ is infinite-dimensional and $c_0 \hookrightarrow Y$, then $K(X,Y)$ is uncomplemented in $L(X,Y)$. Emmanuele and John showed that if $c_0 \hookrightarrow K(X,Y)$, then $K(X,Y)$ is uncomplemented in $L(X,Y)$. Bator and Lewis showed that if $X$ is not a Grothendieck space and $c_0 \hookrightarrow Y$, then $W(X,Y)$ is uncomplemented in $L(X,Y)$. In this paper, classical results of Kalton and separably determined operator ideals with property $(*)$ are used to obtain complementation results that yield these theorems as corollaries.
| Hook-content Formulae for Symplectic and Orthogonal Tableaux
Campbell, Peter S.; Stokke, Anna
By considering the specialisation $s_{\lambda}(1,q,q^2,\dots,q^{n-1})$ of the Schur function, Stanley was able to describe a formula for the number of semistandard Young tableaux of shape $\lambda$ in terms of the contents and hook lengths of the boxes in the Young diagram. Using specialisations of symplectic and orthogonal Schur functions, we derive corresponding formulae, first given by El Samra and King, for the number of semistandard symplectic and orthogonal $\lambda$-tableaux.
| A Note on Randers Metrics of Scalar Flag Curvature
Chen, Bin; Zhao, Lili
Some families of Randers metrics of scalar flag curvature are studied in this paper. Explicit examples that are neither locally projectively flat nor of isotropic $S$-curvature are given. Certain Randers metrics with Einstein $\alpha$ are considered and proved to be complex. Three dimensional Randers manifolds, with $\alpha$ having constant scalar curvature, are studied.
| Weighted Model Sets and their Higher Point-Correlations
Deng, Xinghua; Moody, Robert V.
Examples of distinct weighted model sets with equal $2,3,4, 5$-point correlations are given.
| Simplices in the Euclidean Ball
Fradelizi, Matthieu; Paouris, Grigoris; Schütt, Carsten
We establish some inequalities for the second moment $$ \frac{1}{|K|} \int_{K}|x|_2^2 \,dx $$ of a convex body $K$ under various assumptions on the position of $K$.
| Domains of Injective Holomorphy
Gauthier, P. M.; Nestoridis, V.
A domain $\Omega$ is called a domain of injective holomorphy if there exists an injective holomorphic function $f\colon \Omega\rightarrow\mathbb{C}$ that is non-extendable. We give examples of domains that are domains of injective holomorphy and others that are not. In particular, every regular domain $(\overline\Omega^o=\Omega)$ is a domain of injective holomorphy, and every simply connected domain is a domain of injective holomorphy as well.
| The Milnor-Stasheff Filtration on Spaces and Generalized Cyclic Maps
Iwase, Norio; Mimura, Mamoru; Oda, Nobuyuki; Yoon, Yeon Soo
The concept of $C_{k}$-spaces is introduced, situated at an intermediate stage between $H$-spaces and $T$-spaces. The $C_{k}$-space corresponds to the $k$-th Milnor-Stasheff filtration on spaces. It is proved that a space $X$ is a $C_{k}$-space if and only if the Gottlieb set $G(Z,X)=[Z,X]$ for any space $Z$ with ${\rm cat}\, Z\le k$, which generalizes the fact that $X$ is a $T$-space if and only if $G(\Sigma B,X)=[\Sigma B,X]$ for any space $B$. Some results on the $C_{k}$-space are generalized to the $C_{k}^{f}$-space for a map $f\colon A \to X$. Projective spaces, lens spaces and spaces with a few cells are studied as examples of $C_{k}$-spaces, and non-$C_{k}$-spaces.
| Asymptotic Properties of Solutions to Semilinear Equations Involving Multiple Critical Exponents
Kang, Dongsheng
In this paper, we investigate a semilinear elliptic equation that involves multiple Hardy-type terms and critical Hardy-Sobolev exponents. By the Moser iteration method and analytic techniques, the asymptotic properties of its nontrivial solutions at the singular points are investigated.
| Non-complemented Spaces of Operators, Vector Measures, and $c_o$
Lewis, Paul; Schulle, Polly
The Banach spaces $L(X, Y)$, $K(X, Y)$, $L_{w^*}(X^*, Y)$, and $K_{w^*}(X^*, Y)$ are studied to determine when they contain the classical Banach spaces $c_o$ or $\ell_\infty$. The complementation of the Banach space $K(X, Y)$ in $L(X, Y)$ is discussed as well as what impact this complementation has on the embedding of $c_o$ or $\ell_\infty$ in $K(X, Y)$ or $L(X, Y)$. Results of Kalton, Feder, and Emmanuele concerning the complementation of $K(X, Y)$ in $L(X, Y)$ are generalized. Results concerning the complementation of the Banach space $K_{w^*}(X^*, Y)$ in $L_{w^*}(X^*, Y)$ are also explored as well as how that complementation affects the embedding of $c_o$ or $\ell_\infty$ in $K_{w^*}(X^*, Y)$ or $L_{w^*}(X^*, Y)$. The $\ell_p$ spaces for $1 = p < \infty$ are studied to determine when the space of compact operators from one $\ell_p$ space to another contains $c_o$. The paper contains a new result which classifies these spaces of operators. A new result using vector measures is given to provide more efficient proofs of theorems by Kalton, Feder, Emmanuele, Emmanuele and John, and Bator and Lewis.
| Weighted $L^p$ Boundedness of Pseudodifferential Operators and Applications
Michalowski, Nicholas; Rule, David J.; Staubach, Wolfgang
In this paper we prove weighted norm inequalities with weights in the $A_p$ classes, for pseudodifferential operators with symbols in the class ${S^{n(\rho -1)}_{\rho, \delta}}$ that fall outside the scope of Calderón-Zygmund theory. This is accomplished by controlling the sharp function of the pseudodifferential operator by Hardy-Littlewood type maximal functions. Our weighted norm inequalities also yield $L^{p}$ boundedness of commutators of functions of bounded mean oscillation with a wide class of operators in $\mathrm{OP}S^{m}_{\rho, \delta}$.
| A Generalised Kummer-Type Transformation for the ${}_pF_p(x)$ Hypergeometric Function
Miller, A. R.; Paris, R. B.
In a recent paper, Miller derived a Kummer-type transformation for the generalised hypergeometric function ${}_pF_p(x)$ when pairs of parameters differ by unity, by means of a reduction formula for a certain Kampé de Fériet function. An alternative and simpler derivation of this transformation is obtained here by application of the well-known Kummer transformation for the confluent hypergeometric function corresponding to $p=1$.
| Casimir Operators and Nilpotent Radicals
Ndogmo, J. C.
It is shown that a Lie algebra having a nilpotent radical has a fundamental set of invariants consisting of Casimir operators. A different proof is given in the well known special case of an abelian radical. A result relating the number of invariants to the dimension of the Cartan subalgebra is also established.
| On Sha's Secondary Chern-Euler Class
Nie, Zhaohu
For a manifold with boundary, the restriction of Chern's transgression form of the Euler curvature form over the boundary is closed. Its cohomology class is called the secondary Chern-Euler class and was used by Sha to formulate a relative Poincaré-Hopf theorem under the condition that the metric on the manifold is locally product near the boundary. We show that the secondary Chern-Euler form is exact away from the outward and inward unit normal vectors of the boundary by explicitly constructing a transgression form. Using Stokes' theorem, this evaluates the boundary term in Sha's relative Poincaré-Hopf theorem in terms of more classical indices of the tangential projection of a vector field. This evaluation in particular shows that Sha's relative Poincaré-Hopf theorem is equivalent to the more classical law of vector fields.
| Sharp Inequalities for Differentially Subordinate Harmonic Functions and Martingales
Osękowski, Adam
We determine the best constants $C_{p,\infty}$ and $C_{1,p}$, $1 < p < \infty$, for which the following holds. If $u$, $v$ are orthogonal harmonic functions on a Euclidean domain such that $v$ is differentially subordinate to $u$, then $$ \|v\|_p \leq C_{p,\infty} \|u\|_\infty,\quad \|v\|_1 \leq C_{1,p} \|u\|_p. $$ In particular, the inequalities are still sharp for the conjugate harmonic functions on the unit disc of $\mathbb R^2$. Sharp probabilistic versions of these estimates are also studied. As an application, we establish a sharp version of the classical logarithmic inequality of Zygmund.
| Chen Inequalities for Submanifolds of Real Space Forms with a Semi-Symmetric Non-Metric Connection
Özgür, Cihan; Mihai, Adela
In this paper we prove Chen inequalities for submanifolds of real space forms endowed with a semi-symmetric non-metric connection, i.e., relations between the mean curvature associated with a semi-symmetric non-metric connection, scalar and sectional curvatures, Ricci curvatures and the sectional curvature of the ambient space. The equality cases are considered.
| The Continuous Dependence on the Nonlinearities of Solutions of Fast Diffusion Equations
Pan, Jiaqing
In this paper, we consider the Cauchy problem $$ \begin{cases} u_{t}=\Delta(u^{m}), &x\in{}\mathbb{R}^{N}, t>0, N\geq3, \\ % ^^----- here u(x,0)=u_{0}(x), &x\in{}\mathbb{R}^{N}. \end{cases} $$ We will prove that:
| Characterizations of Model Manifolds by Means of Certain Differential Systems
Pigola, S.; Rimoldi, M.
We prove metric rigidity for complete manifolds supporting solutions of certain second order differential systems, thus extending classical works on a characterization of space-forms. Along the way, we also discover new characterizations of space-forms. We next generalize results concerning metric rigidity via equations involving vector fields.
| Marcinkiewicz Commutators with Lipschitz Functions in Non-homogeneous Spaces
Zhou, Jiang; Ma, Bolin
Under the assumption that $\mu$ is a nondoubling measure, we study certain commutators generated by the Lipschitz function and the Marcinkiewicz integral whose kernel satisfies a Hörmander-type condition. We establish the boundedness of these commutators on the Lebesgue spaces, Lipschitz spaces, and Hardy spaces. Our results are extensions of known theorems in the doubling case.
| An Onofri-type Inequality on the Sphere with Two Conical Singularities
Zhou, Chunqin
In this paper, we give a new proof of the Onofri-type inequality \begin{equation*} \int_S e^{2u} \,ds^2 \leq 4\pi(\beta+1) \exp \biggl\{ \frac{1}{4\pi(\beta+1)} \int_S |\nabla u|^2 \,ds^2 + \frac{1}{2\pi(\beta+1)} \int_S u \,ds^2 \biggr\} \end{equation*} on the sphere $S$ with Gaussian curvature $1$ and with conical singularities divisor $\mathcal A = \beta\cdot p_1 + \beta \cdot p_2$ for $\beta\in (-1,0)$; here $p_1$ and $p_2$ are antipodal.
| Multiplicity Free Jacquet Modules
Aizenbud, Avraham; Gourevitch, Dmitry
Let $F$ be a non-Archimedean local field or a finite field. Let $n$ be a natural number and $k$ be $1$ or $2$. Consider $G:=\operatorname{GL}_{n+k}(F)$ and let $M:=\operatorname{GL}_n(F) \times \operatorname{GL}_k(F)\lt G$ be a maximal Levi subgroup. Let $U\lt G$ be the corresponding unipotent subgroup and let $P=MU$ be the corresponding parabolic subgroup. Let $J:=J_M^G: \mathcal{M}(G) \to \mathcal{M}(M)$ be the Jacquet functor, i.e., the functor of coinvariants with respect to $U$. In this paper we prove that $J$ is a multiplicity free functor, i.e., $\dim \operatorname{Hom}_M(J(\pi),\rho)\leq 1$, for any irreducible representations $\pi$ of $G$ and $\rho$ of $M$. We adapt the classical method of Gelfand and Kazhdan, which proves the ``multiplicity free" property of certain representations to prove the ``multiplicity free" property of certain functors. At the end we discuss whether other Jacquet functors are multiplicity free.
| A Pointwise Estimate for the Fourier Transform and Maxima of a Function
Berndt, Ryan
We show a pointwise estimate for the Fourier transform on the line involving the number of times the function changes monotonicity. The contrapositive of the theorem may be used to find a lower bound to the number of local maxima of a function. We also show two applications of the theorem. The first is the two weight problem for the Fourier transform, and the second is estimating the number of roots of the derivative of a function.
| Constructions of Uniformly Convex Functions
Borwein, Jonathan M.; Vanderwerff, Jon
We give precise conditions under which the composition of a norm with a convex function yields a uniformly convex function on a Banach space. Various applications are given to functions of power type. The results are dualized to study uniform smoothness and several examples are provided.
| Improved Range in the Return Times Theorem
Demeter, Ciprian
We prove that the Return Times Theorem holds true for pairs of $L^p-L^q$ functions, whenever $\frac{1}{p}+\frac{1}{q}<\frac{3}{2}$.
| First Variation Formula in Wasserstein Spaces over Compact Alexandrov Spaces
Gigli, Nicola; Ohta, Shin-Ichi
We extend results proved by the second author (Amer. J. Math., 2009) for nonnegatively curved Alexandrov spaces to general compact Alexandrov spaces $X$ with curvature bounded below. The gradient flow of a geodesically convex functional on the quadratic Wasserstein space $(\mathcal P(X),W_2)$ satisfies the evolution variational inequality. Moreover, the gradient flow enjoys uniqueness and contractivity. These results are obtained by proving a first variation formula for the Wasserstein distance.
| Existence of Solutions for Abstract Non-Autonomous Neutral Differential Equations
Hernández, Eduardo; O'Regan, Donal
In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.
| Approximation of Holomorphic Solutions of a System of Real Analytic Equations
Hickel, M.; Rond, G.
We prove the existence of an approximation function for holomorphic solutions of a system of real analytic equations. For this we use ultraproducts and Weierstrass systems introduced by J. Denef and L. Lipshitz. We also prove a version of the Płoski smoothing theorem in this case.
| Smooth Approximation of Lipschitz Projections
Li, Hanfeng
We show that any Lipschitz projection-valued function $p$ on a connected closed Riemannian manifold can be approximated uniformly by smooth projection-valued functions $q$ with Lipschitz constant close to that of $p$. This answers a question of Rieffel.
| On Zindler Curves in Normed Planes
Martini, Horst; Wu, Senlin
We extend the notion of Zindler curve from the Euclidean plane to normed planes. A characterization of Zindler curves for general normed planes is given, and the relation between Zindler curves and curves of constant area-halving distances in such planes is discussed.
| Pell Equations: Non-Principal Lagrange Criteria and Central Norms
Mollin, R. A.; Srinivasan, A.
We provide a criterion for the central norm to be any value in the simple continued fraction expansion of $\sqrt{D}$ for any non-square integer $D>1$. We also provide a simple criterion for the solvability of the Pell equation $x^2-Dy^2=-1$ in terms of congruence conditions modulo $D$.
| Products and Direct Sums in Locally Convex Cones
Motallebi, M. R.; Saiflu, H.
In this paper we define lower, upper, and symmetric completeness and discuss closure of the sets in product and direct sums. In particular, we introduce suitable bases for these topologies, which leads us to investigate completeness of the direct sum and its components. Some results obtained about $X$-topologies and polars of the neighborhoods.
| Manifolds Covered by Lines and Extremal Rays
Novelli, Carla; Occhetta, Gianluca
Let $X$ be a smooth complex projective variety, and let $H \in \operatorname{Pic}(X)$ be an ample line bundle. Assume that $X$ is covered by rational curves with degree one with respect to $H$ and with anticanonical degree greater than or equal to $(\dim X -1)/2$. We prove that there is a covering family of such curves whose numerical class spans an extremal ray in the cone of curves $\operatorname{NE}(X)$.
| Restricted Radon Transforms and Projections of Planar Sets
Oberlin, Daniel M.
We establish a mixed norm estimate for the Radon transform in $\mathbb{R}^2$ when the set of directions has fractional dimension. This estimate is used to prove a result about an exceptional set of directions connected with projections of planar sets. That leads to a conjecture analogous to a well-known conjecture of Furstenberg.
| New Examples of Non-Archimedean Banach Spaces and Applications
Perez-Garcia, C.; Schikhof, W. H.
The study carried out in this paper about some new examples of Banach spaces, consisting of certain valued fields extensions, is a typical non-archimedean feature. We determine whether these extensions are of countable type, have $t$-orthogonal bases, or are reflexive. As an application we construct, for a class of base fields, a norm $\|\cdot\|$ on $c_0$, equivalent to the canonical supremum norm, without non-zero vectors that are $\|\cdot\|$-orthogonal and such that there is a multiplication on $c_0$ making $(c_0,\|\cdot\|)$ into a valued field.
| Almost Everywhere Convergence of Convolution Measures
Reinhold, Karin; Savvopoulou, Anna K.; Wedrychowicz, Christopher M.
Let $(X,\mathcal{B},m,\tau)$ be a dynamical system with $(X,\mathcal{B},m)$ a probability space and $\tau$ an invertible, measure preserving transformation. This paper deals with the almost everywhere convergence in $\textrm{L}^1(X)$ of a sequence of operators of weighted averages. Almost everywhere convergence follows once we obtain an appropriate maximal estimate and once we provide a dense class where convergence holds almost everywhere. The weights are given by convolution products of members of a sequence of probability measures $\{\nu_i\}$ defined on $\mathbb{Z}$. We then exhibit cases of such averages where convergence fails.
| The Rank of Jacobian Varieties over the Maximal Abelian Extensions of Number Fields: Towards the Frey-Jarden Conjecture
Sairaiji, Fumio; Yamauchi, Takuya
Frey and Jarden asked if any abelian variety over a number field $K$ has the infinite Mordell-Weil rank over the maximal abelian extension $K^{\operatorname{ab}}$. In this paper, we give an affirmative answer to their conjecture for the Jacobian variety of any smooth projective curve $C$ over $K$ such that $\sharp C(K^{\operatorname{ab}})=\infty$ and for any abelian variety of $\operatorname{GL}_2$-type with trivial character.
| Character Sums with Division Polynomials
Shparlinski, Igor E.; Stange, Katherine E.
We obtain nontrivial estimates of quadratic character sums of division polynomials $\Psi_n(P)$, $n=1,2, \dots$, evaluated at a given point $P$ on an elliptic curve over a finite field of $q$ elements. Our bounds are nontrivial if the order of $P$ is at least $q^{1/2 + \varepsilon}$ for some fixed $\varepsilon > 0$. This work is motivated by an open question about statistical indistinguishability of some cryptographically relevant sequences that was recently brought up by K. Lauter and the second author.
| An Optimal Transport View of Schrödinger's Equation
von Renesse, Max-K.
We show that the Schrödinger equation is a lift of Newton's third law of motion $\nabla^\mathcal W_{\dot \mu} \dot \mu = -\nabla^\mathcal W F(\mu)$ on the space of probability measures, where derivatives are taken with respect to the Wasserstein Riemannian metric. Here the potential $\mu \to F(\mu)$ is the sum of the total classical potential energy $\langle V,\mu\rangle$ of the extended system and its Fisher information $ \frac {\hbar^2} 8 \int |\nabla \ln \mu |^2 \,d\mu$. The precise relation is established via a well-known (Madelung) transform which is shown to be a symplectic submersion of the standard symplectic structure of complex valued functions into the canonical symplectic space over the Wasserstein space. All computations are conducted in the framework of Otto's formal Riemannian calculus for optimal transportation of probability measures.
| Left Invariant Einstein-Randers Metrics on Compact Lie Groups
Wang, Hui; Deng, Shaoqiang
In this paper we study left invariant Einstein-Randers metrics on compact Lie groups. First, we give a method to construct left invariant non-Riemannian Einstein-Randers metrics on a compact Lie group, using the Zermelo navigation data. Then we prove that this gives a complete classification of left invariant Einstein-Randers metrics on compact simple Lie groups with the underlying Riemannian metric naturally reductive. Further, we completely determine the identity component of the group of isometries for this type of metrics on simple groups. Finally, we study some geometric properties of such metrics. In particular, we give the formulae of geodesics and flag curvature of such metrics.
| Equivalence of $L_p$ Stability and Exponential Stability of Nonlinear Lipschitzian Semigroups
Xueli, Song; Jigen, Peng
$L_p$ stability and exponential stability are two important concepts for nonlinear dynamic systems. In this paper, we prove that a nonlinear exponentially bounded Lipschitzian semigroup is exponentially stable if and only if the semigroup is $L_p$ stable for some $p>0$. Based on the equivalence, we derive two sufficient conditions for exponential stability of the nonlinear semigroup. The results obtained extend and improve some existing ones.


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NEW YORK – Authorities say some of the suspects charged in a Virginia-to-New York cigarette smuggling scheme have links to top officials of Hamas, the Islamist militant group that rules the Gaza Strip.
New York law enforcers outlined the alleged links Thursday while announcing that 16 people are charged in the smuggling case.
Investigators are still trying to determine where illicit proceeds ended up. Authorities say that in the past, similar schemes have helped fund terrorist groups. The U.S and Israel consider Hamas to be a terrorist organization.
Two of the smuggling defendants are being held without bond at a county jail in Snow Hill, Md. Court records in Maryland show they were arrested Wednesday.

subset: commoncrawl


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Kyrie Eleison.
The good sisters said it back at Christ the King grammar school. Fifty years since graduation, and nothing much has changed.
"You've got one foot in the future, one foot in the past. And who knows where your head is at?"
I wander. I'm on fast forward to something I got to do, somewhere I need to be. Or I'm cruising in the Wayback Machine to yesterday's work or an argument over punch ball rules in third grade.
Which means that my present is too often unattended.
It was a few weeks back and I was at Mass on the eve of Pentecost. It was at the cathedral — St. Paul Cathedral — in Pittsburgh. They fixed the old girl up to celebrate her 100th anniversary a few years back, and the faith sits here comfortably.
The Mass began and I was already warning myself not to wander off. Then came the sound.
The cantor was a young woman. Someone told me later that she is the spouse of a lawyer, which struck me as funny for reasons I can't explain.
She sang, she led, she prayed:
The congregation began to sing in response, but I couldn't. I found myself nearly choked up.
Don't ask me to explain. How many thousands of times in my life have I heard the Kyrie chanted or said? Maybe I was always somewhere else. Maybe there was something in her voice that captured the essence for me this time.
It's as if the faith contained in that simple invocation — "Lord have mercy!" — had always meant much. But never so much.
The Kyrie is one of the oldest liturgical expressions, as old as our faith. It is Greek, and precedes by untold years the Latin liturgy of the sixth century.
Egeria, a fourth-century nun who traveled to the Holy Land and left us a diary in the form of her letters to her "sisters," described a lamp-lighting ceremony at vespers in Jerusalem. As a litany of those who were commemorated were named one by one, "the many little boys who are always standing by answer with countless voices: Kyrie Eleison."
The Mass is always there, ever ancient, ever new. I had a convert friend who said that at the Eucharistic Prayer the hair on the back of his neck would stand up at the thrill of the miracle he was witnessing. I didn't take it as a criticism of this born-and-bred Catholic. Maybe I should have.
St. Justin, writing only a short century after the apostles, describes it: "On the so-called 'Day of the Sun' all of us, both from the city and from the farms, come together in one place. ... We all rise and pray together ... When our prayer is finished bread and wine are brought. And he who presides offers prayers and thanksgivings as best he can, and the people give their assent by saying 'Amen.' And a distribution and sharing of the Eucharistic oblation is made to each one."
And as he adds in the same letter: "Not as ordinary bread and drink do we receive this food; but as our Savior Jesus Christ was made flesh through the word of God ... so have we been taught that this food is the flesh and blood of that same incarnate Jesus."
I realized that I had slipped again. I went from the Kyrie to a fourth-century nun to St. Justin in a matter of moments. I had become distracted by the Mass at the Mass. Imagine trying to explain that to a nun back in fifth grade.
"All the good works of the world are not equal to the Holy Sacrifice of the Mass because they are the works of men," the Curé of Ars explained. "But the Mass is the work of God."
And people actually ask us why we stay Catholic.
Christe Eleison.
Robert P. Lockwood writes from Pennsylvania.
Copyright © 1996-2018 Our Sunday Visitor, Inc.


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Welcome to the Virus Encyclopedia of Panda Security.
Windows 2003/XP/2000/NT/ME/98/95
Radmin.AN is a backdoor that allows hackers to gain remote access to the affected computer in order to carry out actions that compromise user confidentiality and impede the tasks performed on the computer.
It captures certain information entered or saved by the user, with the corresponding threat to privacy:
screenshots of actions carried out.
It affects productivity, preventing tasks from being carried out:
It uses stealth techniques to avoid being detected by the user:
Radmin.AN does not spread automatically using its own means. It needs an attacking user's intervention in order to reach the affected computer. The means of transmission used include, among others, floppy disks, CD-ROMs, email messages with attached files, Internet downloads, FTP, IRC channels, peer-to-peer (P2P) file sharing networks, etc.


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WGBH tells the stories that matter to the communities we serve.
Whether here in Boston or around the world — and it all happens because of you. Here are some of the people who have felt the power of public media in their own lives. Want to share your story? Let us know!
"Teachers' Domain and Nova
get kids excited about science."
"Arthur is helping people
understand kids with Asperger's."
"I am always learning something
new on 99.5."
WGBH has been pioneering and delivering accessible media to disabled people for more than 30 years.
36 million Americans who are deaf, hard of hearing, blind, or visually impaired rely on media access services provided by WGBH.
We invented captioning and video descriptions for television, and today we apply those services to movies, the Web, museums, theme parks, and more. Our Carl & Ruth Shapiro Family National Center for Accessible Media (NCAM) is working on new media access breakthroughs that build on WGBH's history. Learn more >
Can You Put a Value on Public Television?
Meet five of the millions of people whose lives have been changed by WGBH and public media.
American Experience's Freedom Riders inspires local students and teachers
|Students from Boston Public Schools were invited to a special screening of American Experience's Freedom Riders at the WGBH studios. Here's New Mission High School sophomore Samantha Goris as she describes her powerful reaction to the film.
|The WGBH Teacher's Domain invited student groups from local area high schools to screen and discuss the American Experience film Freedom Riders. After seeing the film, New Mission High School sophomore Ted White answers the question 'Would you get on the bus?'
|Following a screening of American Experience's Freedom Riders at the WGBH studios, high school students from Boston Public Schools were given the opportunity to discuss the film with classmates, teachers, and two of the original Freedom Riders! Watch as New Mission High School teacher Natasha Huggins reflects on the positive impact the experience had on her students.
Design Squad inspires young engineer
Smith College senior and Design Squad Season Three alum Lindsey Nguyen was selected as the sole graduating senior to address students and alumnae at Smith's recent Ivy Day ceremony.
Lindsey cited her Design Squad experience as she spoke about the importance of teamwork and her role in encouraging future students to consider engineering. "I am grateful for the opportunity to define myself as an engineer, an athlete, a leader, and, most importantly, as a Smithie," she said. Watch Lindsey's speech.
Nova ScienceNow hosts Cafe Sci in Cambridge
Café Sci, hosted by WGBH science production Nova ScienceNow, explores a different scientific topic each month in our local neighborhoods. These fun, low-key, no-jargon gatherings bring guest speakers to cafés, pizza places, and coffee shops – free and open to all. Find out about the next Café Sci. Join the mailing list: firstname.lastname@example.com.
Peep's World opens at Children's Museum
Peep and the Big Wide World has been transformed into a new permanent exhibit called "Peep's World" at the Boston Children's Museum. Thanks to support from the National Science Foundation, "Peep's World" offers children and their parents hands-on components and text and graphics that make science fun and accessible for children ages 3-5.
WGBH hosts Newton Mothers' Forum
The Newton Mothers' Forum (NMF) hosted its annual Members & Friends Auction in WGBH's Yawkey Atrium, raising more than $9,000. The majority of the proceeds — derived from business-donated auction items — was donated in support of the award-winning children's programs at WGBH, this year's NMF charity partner. Brigid Sullivan, VP for Children's, Educational, & Interactive Programming, addressed the crowd of approximately 100 mothers.
From the President
"Every day, WGBH is able to create and deliver media that matters and
revealing programs to millions of people. "
— Jon Abbott, President and CEO of WGBH
Have you felt the power of public media in your own life? Tell us your story, we'd love to hear from you >
WGBH needs your support
Our best work happens for you, because of you. Every contribution keeps public broadcasting independent, creative, and strong. See membership options >
Or you, too, can play a role at WGBH:
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text:
In this Issue:
Comfort and Joy – High style for the holidays.
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On Campus
Library Launches Peace Corps Community Archive
New Collection: Peace Corps Community Archive (PCCA)
The University Library is pleased to announce the newly established Peace Corps Community Archive (PCCA), an exciting joint initiative with the College of Arts and Sciences and the School of International Service. The PCCA will collect and exhibit materials documenting the experiences and impact of individuals who have served in the Peace Corps. The archive will serve as a research collection for use by students and scholars studying peace diplomacy. The archive also aims to increase awareness of the history of the Peace Corps.
The School of International Service, the College of Arts and Sciences, and the AU Alumni Association celebrated the launch of the University Library's Peace Corps Community Archive with the event, "Waging Peace Through a Lifetime of Service" on March 21. As part of the event, University Librarian Nancy Davenport introduced the archive and acknowledged the work of her predecessors, previous University Librarian Bill Mayer and University Librarian Emerita Pat Wand, for their support in launching the archive. "Your memorabilia will help to tell the stories," Davenport said to the audience members, many of them returned Peace Corps volunteers. She noted that archival material can include a wide variety of materials from photographs to letters to field diaries. While the official records of the Peace Corps will be retained by the National Archives of the United States, the much more personal history of the Peace Corps volunteers will be documented by AU Library.
Peace Corps Stories
Fifteen returned Peace Corps volunteers, including Pat Wand and Congressman Sam Farr (D-California), made brief presentations in which they discussed their backgrounds, described their Peace Corps assignments and experiences, and spoke about their subsequent work in education, foreign service, and peace building. They also explained how their Peace Corp experience profoundly influenced their subsequent choices for work and study. All of the speakers spoke of challenges—acclimating to living arrangements in Malaysia and acquiring adequate healthcare skills in Guatemala--but also of the triumphs and joys of Peace Corps service. SIS professor, Ambassador Dane Smith and his wife, Judy, taught square dancing in Ethiopia. Shannon Alston, SIS/MA '14, still corresponds with the teens who were incarcerated when she worked with them in the Dominican Republic. The audience also heard stories about hunting tarantulas, adopting pets, and even marriages that resulted from the Peace Corps experiences. All found their lives profoundly affected by their service. As Professor Robert Pastor said, "I entered the Peace Corps, but the Peace Corps entered me," as he discussed the lifelong effects of his service.
SIS Dean James Goldgeier also spoke and linked the goals of the Peace Corps with those of SIS. "We're very proud of our role as an educational institution that was founded to "wage peace."' We have many students who come to SIS with that vision in mind," he said, adding that ten percent of the incoming master's students in fall 2013 will be returned Peace Corps volunteers. In 2013, the Peace Corps ranked AU second among medium-sized universities for service among graduates.
Those interested in donating to the University Library's Peace Corps archive, can contact the University Archivist Susan McElrath at firstname.lastname@example.com. To learn more about archive visit http://american.edu/library/archives/pcca.


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By Alexei Oreskovic
SAN FRANCISCO (Reuters) - Facebook Inc introduced gift cards on Thursday that consumers can use at Target Corp and a handful of other businesses in the social network's latest move into the retail market.
Consumers in the United States can buy the cards for their Facebook friends and choose from four different businesses: Target, LVMH Moet Hennessy Louis Vitton SA's Jamba Juice and Darden Restaurants Inc's Olive Garden.
A card can hold multiple gift balances, each dedicated to a specific retailer, Facebook said.
The world's No. 1 social network, with more than one billion users, Facebook is gradually offering more retail services, though it relies on advertising for the bulk of its revenue.
Last year, it launched a feature that allows users to send retail goods, such as sunglasses and pastries, to their friends on the social network.
Facebook Finance Chief David Ebersman tempered expectations about the new gifts business in its quarterly earnings conference call with analysts on Wednesday.
While Facebook believes online commerce has "long-term potential," the current revenue from such efforts is very small and will remain so throughout the year, said Ebersman.
Shares of Facebook fell 13 cents at $31.10 in mid-day trading.
(Reporting by Alexei Oreskovic; Editing by Jeffrey Benkoe)


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Personal and professional growth is an important skill for residents to develop during their training. At UCD, we prioritize providing individual residents with the opportunity to tailor their training years towards their personal and professional career goals. Through a step-wise and integrated plan for helping individual residents find the mentorship they need, we seek to fulfill our mission of creating new generations of outstanding internists who are also well equipped for the next phase of their training or career path and ready to become leaders in the field of medicine.
Upon entry into the program, residents are provided with a mentorship plan to guide their training. By dividing residents into small mentorship groups led by a specific program director, residents know that a dedicated individual, with expertise in resident mentorship, has a strong personal and professional connection with them.
Constructive feedback and comprehensive evaluation is an essential element of personal and professional development. Each resident has semi-annual meetings with their assigned mentor to review evaluations and overall performance, as well as to plan for the future by addressing issues such as finding a research project, choosing electives, fellowship applications, and looking for a job.
The emphasis on mentoring begins with the acceptance into the program. We are prepared to begin discussing your training goals from that day forward. Interns are assigned a chief resident mentor prior to arrival to assist in the transition to internship and serve as a resource throughout their first year. Intern Orientation starts with a ropes course team building exercise and several opportunities to informally get to know your classmates. As residents are ready to define their career path towards a subspecialty, area of research, practice base, or further training platform, we actively assist them in finding their "second tier" of mentors – those in their area(s) of interest who can serve as direct role models. We are fortunate to have a large and diverse faculty, including MDs and PhDs, who are invested and eager to mentor our residents. The breadth of the medical campus, including a School of Public Health and liaisons with National Jewish Medical Center and the Children's Hospital, opens wide doors for residents to pursue various career goals within their internal medicine training. As an added measure of support, a confidential mentor system is in place for our residents. GIM faculty members Rita Lee, Rachel Swigris, Adam Trosterman, Jeremy Long, and Melanie Stickrath serve as these confidential mentors outside of the residency administration and are available for addition mentorship.
Professionalism First is a campus-wide movement as professionalism is the cornerstone of medicine. Likewise, professionalism is a guiding value within our residency and department. Therefore, the confidential Department of Medicine Professionalism Committee uses non-punitive methods to promote professionalism in the stressful environments in which we work. We are proud of our residents who serve as excellent teachers and role models for the University of Colorado medical students. Annually, our residents are selected by the medical students for the Gold Humanism and Excellence in Teaching Award. Here are our 2016 inductees that are currently in our program or just graduated in 2016:
© The Regents of the University of Colorado, a body corporate. All rights reserved.
Accredited by the Higher Learning Commission. All trademarks are registered property of the University. Used by permission only.


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Governor Andrew M. Cuomo today announced a new pilot program that will allow large universities to directly provide health coverage to their students at a lower cost.
The program is the result of legislation Governor Cuomo signed into law last week. The four universities that are eligible to self-insure are Columbia University, Cornell University, New York University, and the University of Rochester.
"This program makes it possible for a group of large universities to provide comprehensive health insurance to their students at a reasonable cost," Governor Cuomo said. "Many colleges require students to have health insurance so that they are protected in case of illness or injury. While many students are covered by their parents' health insurance, other students have to purchase coverage, which can be a burden for families already dealing with tuition and other costs. Allowing the schools themselves to offer health plans lowers the cost, while ensuring that students get the health coverage they need."
Benjamin M. Lawsky, Superintendent of Financial Services, said, "Working with the universities, we came up with a creative solution that allows the universities to self-insure, providing better value health coverage to their students. Effectively, this bill creates a demonstration project that could eventually be extended to other colleges and more students."
State Insurance Law does not permit a New York institution to self-fund a student health plan without a license to do business as an insurance company. As a result, an institution must purchase a policy from an insurer, or incur the costs of becoming a licensed insurance company.
A group of large universities approached the Department of Financial Services to explore how to make comprehensive insurance available to their students directly in order to make the coverage more affordable by reducing administrative and risk costs. Working together, the Department and the schools developed the bill. It permits self-funding of health plans by universities with strong endowments because they have the ability to provide financial security to such health plans.
Superintendent Lawsky said, "Once we have experience with these large financially-strong institutions, we can consider whether the model will work for other universities."
Senator James L. Seward, Chair of the Senate Insurance Committee, said, "As higher education costs rise, colleges and universities are always looking for an edge to keep expenses down and compete with out of state schools. Clearing the way for a self-insurance plan will allow New York schools that take part to tailor their own health insurance plans that meet the specific needs of their student populations, while reducing administrative costs. I commend Governor Cuomo and Superintendent Lawsky for their support."
Assemblyman Joseph D. Morelle, Chair of the Assembly Insurance Committee, said, "This is an important step toward making health care and higher education more affordable for New Yorkers, at a time when both present real challenges to families. I am grateful to the governor and all the partners who made this possible."
The Superintendent of Financial Services will have regulatory oversight over the student health plans. To protect students, the universities will set up reserves to ensure funding will be available to pay health care claims.
As Attorney General, Governor Cuomo investigated cost and coverage issues related to student health insurance plans. The new bill provides comprehensive health coverage and ensures that most of the premiums students pay will be spent on health care. Under the new bill, students will be provided with comprehensive health plans and the plans must spend at least 82 cents of every dollar collected on health care.
David J. Skorton, President, Cornell University said: "This law allows students and families to access comprehensive health insurance at the best possible prices. As all of us in higher education are working to control our costs, this flexibility is an important element and has proven successful at schools in other states. The Governor has been a key leader in this effort."
Joel Seligman, President, University of Rochester said: "I want to thank Governor Andrew Cuomo, Senator Jim Seward, and Assemblyman Joe Morelle for their leadership on this important legislation. The rising cost of student health benefit plans has contributed to college attendance cost increases and is an ongoing concern for both higher education institutions and the students that need to purchase effective health coverage. This legislation will help the University of Rochester and other colleges and universities to provide their students with high-quality, comprehensive health plans that are both cost effective and address the specific needs of students."
Laura L. Anglin, President of the Commission on Independent Colleges and Universities, a statewide association for more than 100 private, not-for-profit campuses, said, "Student health insurance plan costs are rising, causing concern both for colleges and universities, and for students who need to purchase health coverage. With enactment of this legislation, New York State is providing the opportunity for a number of our research universities to consider self-funded plans as a means of helping students get comprehensive health insurance coverage that best meets their needs, at lower costs. This is a win-win, and we commend the Governor and the Legislature for making this option available."
Jeffrey F. Scott, Columbia University's Executive Vice President for Student and Administrative Services, said: "Columbia is committed to ensuring that our students have access to cost-effective medical insurance, a goal that is tied to the realities of the marketplace and therefore can be difficult to achieve. We commend Governor Cuomo, the members of his administration, and their partners in the Senate and Assembly for establishing the option of self-funding to help address our students' need for affordable insurance."


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Australia v New Zealand, Brisbane, August 27
Weepu determined to 'do the business'
ESPNscrum Staff
August 26, 2011
Weepu can expect to provide cover at scrum-half and fly-half during next month's Rugby World Cup © Getty Images
New Zealand scrum-half Piri Weepu is relishing his belated Rugby World Cup bow but before then he has his sights set on victory over Australia in their Tri-Nations decider in Brisbane.
The last time the southern hemisphere crown was on the line before a World Cup, Weepu was forced to watch from the stands as the All Blacks lapped Eden Park with the Bledisloe Cup also in tow following their 26-12 victory over the Wallabies. The next morning, Weepu was surprisingly left out of the World Cup squad with Andy Ellis named as the third halfback behind Byron Kelleher and Brendon Leonard.
Ellis had not featured in the All Blacks' 2007 international schedule to that point but Weepu, who had played five of the Tests, paid $500 and then the ultimate price for a curfew-breaking drinking session while the team was in Auckland. That disciplinary lapse in the company of Flavell, Ross Filipo, Rico Gear, John Schwalger and Conrad Smith -- the only offender to make the Cup squad -- sealed his fate with Graham Henry and forced him to reconsider his future as a professional footballer.
A code switch to rugby league was mooted, also a move offshore, but Weepu stayed put in his beloved Wellington and gradually regained the trust of All Black management. Being chosen as captain when the 2008 Grand Slam-winning All Blacks played Munster 30 years after the Irish province's momentous victory indicated Weepu was regarded as a leader and since then he has played 21 Tests -- emphasising his coming of age.
And now, in stark contrast to four years ago, Weepu also starts against the Wallabies in the Tri-Nations decider at Suncorp Stadium tomorrow night, continuing a trend that has seen the nuggety 27-year-old generally run on against the Australians. Henry struggled to explain yesterday why Weepu, who has started just 17 of his 48 tests, is favoured to stay on the field when the Wallabies face the haka though statistically he is a lucky charm.
All but one of Weepu's 13 trans-Tasman Tests have ended in the All Blacks favour ahead of his fifth start against the Wallabies when he renews a keen rivalry with Will Genia, an opponent he places of the same pedestal as South Africa's Fourie du Preez. Weepu, selected ahead of Ellis and Jimmy Cowan when the line-up was named yesterday, reflected on the progress he has made since getting offside with Henry when the last World Cup beckoned.
"I guess it's huge for myself after 2007," he admitted. "I'm thankful for the opportunity to be a part of this campaign leading into what's going to be a great thing for our country. I've come a long way since then. It was a learning curve for me and I haven't looked back," he said, realising: "I know can't take it for granted. I have to do the business leading into it."
Weepu suffered a setback when a broken leg ruled him out of last year's Grand Slam-winning tour and the Hurricanes fractious Super Rugby campaign was another frustration he had to overcome before his recall to the national team for the season-opening test against Fiji at Carisbrook. Henry confessed he was undecided about who was his No.1 halfback as the All Blacks try and emulate the inaugural World Cup winners of 1987 at Eden Park on October 23.
"We've got three halfbacks we're pleased with. Who do you play in each particular Test?" he asked. For tomorrow at least Weepu is the number one No.9. "He's a bright boy on the game. We value his ability to play, he's made a lot of progress in our environment over the last six weeks," said Henry who also chose Weepu when the Bledisloe Cup was retained at Eden Park on August 6.
Weepu, who accepts he could be back on the bench or in the stands at any time, said he was relieved to start the World Cup dress rehearsal. "It's always an honour. Me, Jimmy and Andy have been pushing each other all year. This is a basically a final and you always want to start. I have to make sure I do the business."
© ESPN Sports Media Ltd.
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Posts tagged with Newtown
Two multiple homicide cases raise questions about adequacy of mental health system
Two multiple murder cases have been tied to men who were brought by police to the state hospital here because of their threatening behaviors but were released several days later after hospital officials deemed them no danger to themselves or others.
The ensuing tragedies have left many wondering what went wrong and whether the state's mental health system and the way it works with law enforcement is adequate.
Prosecutors said the two cases — which left families sundered and emotions raw in the small towns where they happened — were unusual only because of the levels of violence involved and their proximities in time and place.
"You can go just about anywhere in the state and find cases that involve people who've been in one of the state hospitals and (subsequently) committed violent crimes," said Riley County Attorney Barry Wilkerson, who also is president of the Kansas County and District Attorneys Association. "I'm not saying they're all homicides, but, yes, they are violent crimes."
Wilkerson, a veteran prosecutor, said laws and policies that allow some patients to leave the hospital too soon or without proper local follow-up have long troubled him.
'Stablize them and turn them loose'
"The mental health system we have in Kansas is underfunded," he said. "There aren't enough in-patient places for people to go anymore. So, now, instead of taking the time and committing the resources to really treat people, we stabilize them and turn them loose. It just doesn't make any sense. If someone's been declared a danger to themselves or others, and then all we do is stabilize them, I wouldn't say that's enough."
The man first brought to the hospital was 35-year-old Kevin Welsh of Eureka. Police brought him to Osawatomie in late August 2013 after he was charged with kidnapping 26-year-old Catherine Scheff and her two young children. Scheff was a former girlfriend of Welsh's.
Welsh spent 11 days at the hospital and then was briefly returned to jail. There, he posted bail and was released on Sept. 10. Three weeks later, he shot Scheff and her parents at the parents' home in Eureka.
Scheff survived multiple wounds, but her father, 54-year-old Keith Kriesel, and mother, 52-year-old Sheila Kriesel, were killed.
Welsh died two weeks later in a shootout with agents from the Kansas Bureau of Investigation.
The second man was 22-year-old David Cornell Bennett Jr. who was taken to the hospital after being picked up by Parsons police on Oct. 30, 2013 for what they described as murder-suicide threats posted on Facebook.
Bennett now is charged with the first-degree murders of 29-year-old Cami Jo Umbarger of Parsons and her three children, ages 9, 6, and 4.
'We don't go a day without talking about her'
Their bodies were found the Monday before Thanksgiving after Umbarger — who was known as a reliable employee at Good Samaritan Center, a Parsons nursing home — failed to show for work.
"She'd talked about how he'd been stalking her," said Joanna Wilson, the nursing home administrator. "It was like he'd become obsessed with her."
The murders were hard on the close-knit staff and still are, Wilson said.
"We don't go a day without talking about her," she said. "I haven't gone an hour without thinking about her, day and night. Many of the staff are the same way.
"When Cami started working here seven years ago, her first child was a baby," Wilson said. "She had two babies while she was working here, so in a lot of ways those kids were raised here. Everybody knew them. What we're going through now is horrible.
"I know that the rights for mentally ill patients are very strong and that those rights stem from years and years of them not having any rights and being put away when they didn't need to be," Wilson said. "But when things like this happen, I wish, of course, that they'd found some way to keep him."
According to recent news reports, Bennett is now in the Labette County Jail on $5 million bond, awaiting trial for the murders and related charges including rape and the threats that got him sent to Osawatomie State Hospital.
Details about the treatments and evaluations that Bennett and Welsh likely received at Osawatomie remain sealed from public view because of patient confidentiality rules and gag orders placed by prosecutors and courts.
State mental health officials and others involved declined to comment on any specific aspect of either case.
How the process works
But state officials and others agreed to describe the system, its rules and processes, as they apply in general.
John Worley, director of clinical services at Osawatomie, said evaluations of patients being considered for release, as a matter of routine, would take into consideration any dealings the patient had with law enforcement.
"They look at the major issues to be addressed for stabilization to allow discharge from the hospital," Worley said, referring to teams comprised of nurses, psychologists, therapists and social workers.
Mass shootings raise concerns about Kansas mental health system
Like many Kansans, Rick Cagan spent much of last weekend reading and listening to news reports about the gunman who killed 20 children and six adults at an elementary school in Newtown, Conn.
Cagan had a professional reason for learning what he could about the tragedy. He runs the National Alliance on Mental Illness-Kansas Chapter office in Topeka.
"It's devastating," he said. "It's heartbreaking."
According to initial news reports, the gunman, 20-year-old Adam Lanza, may have suffered from a personality disorder or had been diagnosed with Asperger's, a form of autism. However, there is no indication that he had the kind of severe mental illness suffered by others responsible for mass shootings.
Jared Loughner, the man convicted of shooting former Arizona Congresswoman Gabrielle Giffords and killing six others, for instance, suffered from schizophrenia, a mental illness that causes disordered thinking and delusions.
And James Holmes, the man accused of shooting 12 people to death and wounding 58 others last summer at a movie theater in a Denver sought mental health treatment before the attack, according to multiple news reports.
Mass shootings nearly always rekindle debates about gun control and the adequacy of the nation's mental health system. Commenting on the later, Cagan said many Kansans with mental illness are not getting the early treatment they need to avoid crises.
"More than 60 percent of the adults who have a serious mental illness are untreated," he said, noting that in Kansas half the admissions to the state hospitals for the mentally ill involve people who've had no previous contact with their community's mental health center.
In Kansas, state-hospital admissions are reserved for adults who are seriously mentally ill and have been deemed a danger to themselves or others.
"NAMI is always reluctant to jump in with some sort of comment when these kinds of incidents occur because there's so much that we don't know," Cagan said, referring to the shootings. "But, still, blaming the individual only goes so far. At some point, we have to look at the overall well-being of our mental health system."
Budget cuts in the mental health system
Kansas' system, he said, hasn't fared well in recent years.
"I don't like saying this," Cagan said, "but we're just lucky this didn't happen in Kansas."
→ Continue reading this story — and find a link to the blog post, 'I Am Adam Lanza's Mother' — on khi.org.


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We are having some suggestions for more how-to articles in View Camera. What would people like to see in this regard?
steve simmons
We are having some suggestions for more how-to articles in View Camera. What would people like to see in this regard?
steve simmons
How about an LF basics article on bellows compensation factors? Why they are important, how to determinine them and then apply them in the field/studio?
Here is my easy formula
for every 25% you add to the infinity bellows extension you add 1/2 stop of exposure. For example if you have a 6"/150mmlens and you have 7.5 inches of extension then add 1/2 stop of expsure. Normallyyou can add the extra exposue with time or by opening up. However, if you are using strobe then adding time does not help and you must open up wt yor f-stops.
If you have a 6" lens and you have 9" of extension then add 1 stop. If you have 10.5" then add 1.5 stops an if you have 12" of extension then add 2 stops.
This formula works for any focal length lens.
Some people will snow you with math formulae but it is not necessary to know. My formula works everytme.
steve simmons
How about an update on digital negatives, shooting with say 4x5 and using Photoshop to digitally print larger negatives. What's the best combination of printers, inks, mylar, and software? The best books to read, etc? (Is it still Burkholder?) For example, can the ultrachrome inks be used for this purpose on this or that particular mylar. Etc.
I would still call this LF, since one's shooting a 4x5 and scanning it in using a flatbed scanner.
1) Perhaps showcase the exposure & darkroom techniques of a famous or not so famous
photographer in each issue. (in detail, the nuts and bolts)
2) List the most sucsessful film/developer combinations for expansion and contraction.
This could be brought out in item (1).
3) Many of us are not professionals and can't afford new equipment so any artical dealing
on strategy for using old lenses and shutters in the field, repairing equipment, buying used equipment or saving money while enjoying this hobby is always of interest. Perhaps this could be part a hobbyists corner in the online section of your publication each month.
I'm a novice 8x10 enthusiast. Your early mags contained rudimentary "how-toos". I've purchased
a few and they are fascinating for the amature. At the same time I don't know of another publication thats more interesting for the large format photographer as your present mag. So I hope you do begin again to publish more "how-toos".
Ron Rosenstock d0es a darkroom how-to each issue discussing one of his images and showing a before and after print.
The Dec/Jan issue of CameraArts had an article about the new guru of digtal negs.
We've done lots of articles about older cameras and lenses and will continue to do so.
We are starting a series on digital printingin the March issue.
Our March issue is our 10oth issue. We have a special portfolio on Paul Caponigro.
We are going to do more how-to articles in all future issues
steve simmons
We also have an article on scanning lf negs coming up in the May issue
steve simmons
Just to add my math-impaired way of figuring bellows extension to what Steve posted above: If I have, say, an 8-inch lens, I say to myself "I'm starting at f8" Then I measure, and if the bellows extension is 11 inches, I call that f11, so I must increase exposure by one stop. If the bellows extension is 13 inches (f13), I just figure how much difference there is between f8 and f13 -- about one-and-a-half stops? It's always worked for me.
Overall I'm very happy with my subscription. The paper and developer shootout, the B&W Meunch photos, the focus and toolkit articles have all been great. I've also enjoyed the recent Speed/Crown Graphic articles.
As for how-to's, the things that I've trouble with over the past year have been bellows extension factors, and troubleshooting a 545 holder that was consistently causing one side of the neg to be out of focus (though everything was fine with a standard holder and sheet film).
Quick disk or your formula take care of bellows extansion (but not forgetting that you have to compensate for bellows extension). As for the other, some short articles (100-500 words) on maintenance would be good. Something on fresnels (what do they offer the photographer) might be good, too.
Another thing, though not a how-to, would look at a shot with a selection of lenses (75,90,150,210, 300 etc). I haven't been able to find anything really like that on line, although VC did do an article on an Italian Photographer (who's name escapes me) that used alot of wide and super-wide lenses. My first good lens was a 135 Nikon because I liked the view from my sometimes sticky 135 Optar. My other primary lens is a multicoated 210 Schneider.
Finally, thanks for your work at VC. It's enjoyable, informative and well produced.
Mike Davis


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the Events Calendar
the Mailing List
Graphics Version
Virtual Tours
Process Room, 10.07.06- 23.07.06
Living Lenses is a collaborative team comprised of Louise Bertelsen (Denmark) and Poshu Wang (USA). Their work is an on-going exploration of the world they live in, the world they live by, and the world they dream of. The media and methodology that Living Lenses use are borrowed from all aspects of human ingenuity and stupidity; their work is a continuous evolution guided by the uniqueness of every site they encounter. Living Lenses believe that life is lived day-in and day-out, in an existence that is constantly inspiring the most wonderful and tragic human interactions. Their perceptions of what is around them are determined by their own version of that shared reality. The work of Living Lenses is comprised of bits and pieces of that daily life, out there in public places. Bertelsen and Wang bring focus to the conscious and unconscious layers of the meanings inherent in a place and nothing that is curiously human is too banal or sacred for their curiosity.
During their time in the Process Room Living Lenses will have a number of projects operating in different locations around the Museum, the proposed projects are as follows:
The Sound Of Two Hands Clapping During a talk at the Writers Festival that took place in June 2006 in the Project Art Space, Dublin, Living Lenses were hypnotized by the sound of the syncopated rhythm created by the audiences applause. The repetitious clapping is a constant short-circuiting of the human bilateral symmetry, accumulating in a concert of chaotic wholeness, all in its own accord. Using footage from this event, Living Lenses have built their installation The Sound of the Two Hands Clapping. Location: The Process RoomMedia: Video, candle, glass, speaker, water, cling film.Dimension: Varied.Duration: Tuesday 11th July Sunday 16th July
Fiona McBrideFiona McBride is a tale about the first artist in residence at IMMA, told by Living Lenses. It is also the story of how human beings deal with the wrath of the Gods. Visitors to the piece will help build the content and context of this work by connecting their own cardio-pulses with that of Fionas, via an electronic circuit. Location: The Formal GardensMedia: Garden statue, electronic circuits, your cardio-pulses.Dimensions: H320cm x W90cm x D110cmDuration: Tuesday 11th July Sunday 23rd July
The Selective Memory Game The Selective Memory Game is a photographic project of Dubliners going about their businesses around town. Each image comes in a pair, where one is an edited version of the original image. The game is structured to allow, the players/visitors to the process room, personal operating paradigms to determine which images will end up being displayed at any given moment. Location: The Process Room Media: Photographic images. Dimensions: Varied.Duration: Tuesday 18th July Sunday 23rd July
The DNA Donation Project The DNA Donation project is made up entirely by the participation of visitors to IMMA. The project takes place in Living Lenses studio, studio 12. A donation is done in three simple steps. Chew a piece of gum, stick it to the underside of the donation table, and sign on the tabletop. The signature will confirm the donation of DNA to a Living Lenses artwork, and that the donor is a co-author of the artwork.Location: Studio 12.Media: Table, chewing gum, DNA samples.Dimension: H82 x W180 x D60.Duration: Tuesday 11th July Sunday 23rd July.
For a printable version of this information please download the following document Living Lenses Process Room doc.
Click here to return to Previous Participants
Click here to browse ARP Projects
Irish Museum of Modern Art, Royal Hospital, Kilmainham, Dublin 8, D08 FW31, Ireland
Tel: +353-1-6129900, Email: firstname.lastname@example.com


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ER and Physicians Care Express wait times are approximate and provided for informational purposes only. If you are having a medical emergency, call 911.
Our wait times are updated every 15 minutes. The wait time provided displays the amount of time (in minutes) that it takes for a patient to see a qualified medical professional from the time of their arrival at the Emergency Room or Physicians Care Express location. The wait time displayed represents a rolling-average of the previous 120-minutes for all patients who are currently visiting our Emergency Room or Physicians Care Express locations.


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Discover a place that CNN ranked as a top ten world destination for 2012.
"A basic tenet of a healthy democracy is open dialogue and transparency."
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Available online at: www.municode.com
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Orlando, FL. 32801
Phone: (407) 836-5312


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Vanessa Hudgens & Nicolas Cage: 'Frozen Ground' Premiere!
Vanessa Hudgens is smashing while attending the premiere of her latest film The Frozen Ground during the 2013 Ischia Film Festival on Saturday (July 20) in Ischia, Italy.
The 24-year-old was seen posing with co-star Nicolas Cage, who brought his wife Alice Kim Cage.
PHOTOS: Check out the latest pics of Vanessa Hudgens
Eli Roth was also spotted attending the premiere.
Earlier in the day, Vanessa rocked a bikini while enjoying a boat ride with her gal pal Camila Morrone.
In case you forgot, The Frozen Ground hits theaters on Friday, August 23!
FYI: Vanessa is wearing an Alberta Ferretti dress.
10+ pictures inside of Vanessa Hudgens and Nicolas Cage attending a premiere for The Frozen Ground…