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| Sweeping out properties of operator sequences
Akcoglu, Mustafa A.; Ha, Dzung M.; Jones, Roger L.
Let $L_p=L_p(X,\mu)$, $1\leq p\leq\infty$, be the usual Banach Spaces of real valued functions on a complete non-atomic probability space. Let $(T_1,\ldots,T_{K})$ be $L_2$-contractions. Let $0<\varepsilon < \delta\leq1$. Call a function $f$ a $\delta$-spanning function if $\|f\|_2 = 1$ and if $\|T_kf-Q_{k-1}T_kf\|_2\geq\delta$ for each $k=1,\ldots,K$, where $Q_0=0$ and $Q_k$ is the orthogonal projection on the subspace spanned by $(T_1f,\ldots,T_kf)$. Call a function $h$ a $(\delta,\varepsilon)$-sweeping function if $\|h\|_\infty\leq1$, $\|h\|_1<\varepsilon$, and if $\max_{1\leq k\leq K}|T_kh|>\delta-\varepsilon$ on a set of measure greater than $1-\varepsilon$. The following is the main technical result, which is obtained by elementary estimates. There is an integer $K=K(\varepsilon,\delta)\geq1$ such that if $f$ is a $\delta$-spanning function, and if the joint distribution of $(f,T_1f,\ldots,T_Kf)$ is normal, then $h=\bigl((f\wedge M)\vee(-M)\bigr)/M$ is a $(\delta,\varepsilon)$-sweeping function, for some $M>0$. Furthermore, if $T_k$s are the averages of operators induced by the iterates of a measure preserving ergodic transformation, then a similar result is true without requiring that the joint distribution is normal. This gives the following theorem on a sequence $(T_i)$ of these averages. Assume that for each $K\geq1$ there is a subsequence $(T_{i_1},\ldots,T_{i_K})$ of length $K$, and a $\delta$-spanning function $f_K$ for this subsequence. Then for each $\varepsilon>0$ there is a function $h$, $0\leq h\leq1$, $\|h\|_1<\varepsilon$, such that $\limsup_iT_ih\geq\delta$ a.e.. Another application of the main result gives a refinement of a part of Bourgain's ``Entropy Theorem'', resulting in a different, self contained proof of that theorem.
| Spatial branching processes and subordination
Bertoin, Jean; Le Gall, Jean-François; Le Jan, Yves
We present a subordination theory for spatial branching processes. This theory is developed in three different settings, first for branching Markov processes, then for superprocesses and finally for the path-valued process called the {\it Brownian snake}. As a common feature of these three situations, subordination can be used to generate new branching mechanisms. As an application, we investigate the compact support property for superprocesses with a general branching mechanism.
| Normal Functions: $L^p$ Estimates
Chen, Huaihui; Gauthier, Paul M.
For a meromorphic (or harmonic) function $f$, let us call the dilation of $f$ at $z$ the ratio of the (spherical) metric at $f(z)$ and the (hyperbolic) metric at $z$. Inequalities are known which estimate the $\sup$ norm of the dilation in terms of its $L^p$ norm, for $p>2$, while capitalizing on the symmetries of $f$. In the present paper we weaken the hypothesis by showing that such estimates persist even if the $L^p$ norms are taken only over the set of $z$ on which $f$ takes values in a fixed spherical disk. Naturally, the bigger the disk, the better the estimate. Also, We give estimates for holomorphic functions without zeros and for harmonic functions in the case that $p=2$.
| Constrained approximation in Sobolev spaces
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
Positive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions $f\in\Wp^k\mll$ are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.
| Multiplication Invariant Subspaces of Hardy Spaces
Lance, T. L.; Stessin, M. I.
This paper studies closed subspaces $L$ of the Hardy spaces $H^p$ which are $g$-invariant ({\it i.e.}, $g\cdot L \subseteq L)$ where $g$ is inner, $g\neq 1$. If $p=2$, the Wold decomposition theorem implies that there is a countable ``$g$-basis'' $f_1, f_2,\ldots$ of $L$ in the sense that $L$ is a direct sum of spaces $f_j\cdot H^2[g]$ where $H^2[g] = \{f\circ g \mid f\in H^2\}$. The basis elements $f_j$ satisfy the additional property that $\int_T |f_j|^2 g^k=0$, $k=1,2,\ldots\,.$ We call such functions $g$-$2$-inner. It also follows that any $f\in H^2$ can be factored $f=h_{f,2}\cdot (F_2\circ g)$ where $h_{f,2}$ is $g$-$2$-inner and $F$ is outer, generalizing the classical Riesz factorization. Using $L^p$ estimates for the canonical decomposition of $H^2$, we find a factorization $f=h_{f,p} \cdot (F_p \circ g)$ for $f\in H^p$. If $p\geq 1$ and $g$ is a finite Blaschke product we obtain, for any $g$-invariant $L\subseteq H^p$, a finite $g$-basis of $g$-$p$-inner functions.
| Automorphisms of the Lie algebras $W^*$ in characteristic $0$
Osborn, J. Marshall
| Exterior powers of the adjoint representation
Reeder, Mark
Exterior powers of the adjoint representation of a complex semisimple Lie algebra are decomposed into irreducible representations, to varying degrees of satisfaction.
| The Classical Limit of Dynamics for Spaces Quantized by an Action of ${\Bbb R}^{\lowercase{d}}$
Rieffel, Marc A.
We have previously shown how to construct a deformation quantization of any locally compact space on which a vector group acts. Within this framework we show here that, for a natural class of Hamiltonians, the quantum evolutions will have the classical evolution as their classical limit.
| Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres
Xu, Yuan
Based on the theory of spherical harmonics for measures invariant under a finite reflection group developed by Dunkl recently, we study orthogonal polynomials with respect to the weight functions $|x_1|^{\alpha_1}\cdots |x_d|^{\alpha_d}$ on the unit sphere $S^{d-1}$ in $\RR^d$. The results include explicit formulae for orthonormal polynomials, reproducing and Poisson kernel, as well as intertwining operator.
| Classifying PL $5$-manifolds by regular genus: the boundary case
Casali, Maria Rita
In the present paper, we face the problem of classifying classes of orientable PL $5$-manifolds $M^5$ with $h \geq 1$ boundary components, by making use of a combinatorial invariant called {\it regular genus} ${\cal G}(M^5)$. In particular, a complete classification up to regular genus five is obtained: $${\cal G}(M^5) = \gG \leq 5 \Longrightarrow M^5 \cong \#_{\varrho - \gbG}(\bdo) \# \smo_{\gbG},$$ where $\gbG = {\cal G}(\partial M^5)$ denotes the regular genus of the boundary $\partial M^5$ and $\smo_{\gbG}$ denotes the connected sum of $h\geq 1$ orientable $5$-dimensional handlebodies $\cmo_{\alpha_i}$ of genus $\alpha_i\geq 0$ ($i=1,\ldots, h$), so that $\sum_{i=1}^h \alpha_i = \gbG.$ \par Moreover, we give the following characterizations of orientable PL $5$-manifolds $M^5$ with boundary satisfying particular conditions related to the ``gap'' between ${\cal G}(M^5)$ and either ${\cal G}(\partial M^5)$ or the rank of their fundamental group $\rk\bigl(\pi_1(M^5)\bigr)$: $$\displaylines{{\cal G}(\partial M^5)= {\cal G}(M^5) = \varrho \Longleftrightarrow M^5 \cong \smo_{\gG}\cr {\cal G}(\partial M^5)= \gbG = {\cal G}(M^5)-1 \Longleftrightarrow M^5 \cong (\bdo) \# \smo_{\gbG}\cr {\cal G}(\partial M^5)= \gbG = {\cal G}(M^5)-2 \Longleftrightarrow M^5 \cong \#_2 (\bdo) \# \smo_{\gbG}\cr {\cal G}(M^5) = \rk\bigl(\pi_1(M^5)\bigr)= \varrho \Longleftrightarrow M^5 \cong \#_{\gG - \gbG}(\bdo) \# \smo_{\gbG}.\cr}$$ \par Further, the paper explains how the above results (together with other known properties of regular genus of PL manifolds) may lead to a combinatorial approach to $3$-dimensional Poincar\'e Conjecture.
| Differential equations defined by the sum of two quasi-homogeneous vector fields
Coll, B.; Gasull, A.; Prohens, R.
In this paper we prove, that under certain hypotheses, the planar differential equation: $\dot x=X_1(x,y)+X_2(x,y)$, $\dot y=Y_1(x,y)+Y_2(x,y)$, where $(X_i,Y_i)$, $i=1$, $2$, are quasi-homogeneous vector fields, has at most two limit cycles. The main tools used in the proof are the generalized polar coordinates, introduced by Lyapunov to study the stability of degenerate critical points, and the analysis of the derivatives of the Poincar\'e return map. Our results generalize those obtained for polynomial systems with homogeneous non-linearities.
| Spectral theory for the Neumann Laplacian on planar domains with horn-like ends
Edward, Julian
The spectral theory for the Neumann Laplacian on planar domains with symmetric, horn-like ends is studied. For a large class of such domains, it is proven that the Neumann Laplacian has no singular continuous spectrum, and that the pure point spectrum consists of eigenvalues of finite multiplicity which can accumulate only at $0$ or $\infty$. The proof uses Mourre theory.
| Determinantal forms for symplectic and orthogonal Schur functions
Hamel, A. M.
Symplectic and orthogonal Schur functions can be defined combinatorially in a manner similar to the classical Schur functions. This paper demonstrates that they can also be expressed as determinants. These determinants are generated using planar decompositions of tableaux into strips and the equivalence of these determinants to symplectic or orthogonal Schur functions is established by Gessel-Viennot lattice path techniques. Results for rational (also called {\it composite}) Schur functions are also obtained.
| The $2$-rank of the class group of imaginary bicyclic biquadratic fields
McCall, Thomas M.; Parry, Charles J.; Ranalli, Ramona R.
A formula is obtained for the rank of the $2$-Sylow subgroup of the ideal class group of imaginary bicyclic biquadratic fields. This formula involves the number of primes that ramify in the field, the ranks of the $2$-Sylow subgroups of the ideal class groups of the quadratic subfields and the rank of a $Z_2$-matrix determined by Legendre symbols involving pairs of ramified primes. As applications, all subfields with both $2$-class and class group $Z_2 \times Z_2$ are determined. The final results assume the completeness of D.~A.~Buell's list of imaginary fields with small class numbers.
| On some alternative characterizations of Riordan arrays
Merlini, Donatella; Rogers, Douglas G.; Sprugnoli, Renzo; Verri, M. Cecilia
We give several new characterizations of Riordan Arrays, the most important of which is: if $\{d_{n,k}\}_{n,k \in {\bf N}}$ is a lower triangular array whose generic element $d_{n,k}$ linearly depends on the elements in a well-defined though large area of the array, then $\{d_{n,k}\}_{n,k \in {\bf N}}$ is Riordan. We also provide some applications of these characterizations to the lattice path theory.
| A complete convergence theorem for attractive reversible nearest particle systems
Mountford, T. S.
In this paper we prove a complete convergence theorem for attractive, reversible, super-critical nearest particle systems satisfying a natural regularity condition. In particular this implies that under these conditions there exist precisely two extremal invariant measures. The result we prove is relevant to question seven of Liggett (1985), Chapter~VII.
| Local bifurcations of critical periods in the reduced Kukles system
Rousseau, C.; Toni, B.
In this paper, we study the local bifurcations of critical periods in the neighborhood of a nondegenerate centre of the reduced Kukles system. We find at the same time the isochronous systems. We show that at most three local critical periods bifurcate from the Christopher-Lloyd centres of finite order, at most two from the linear isochrone and at most one critical period from the nonlinear isochrone. Moreover, in all cases, there exist perturbations which lead to the maximum number of critical periods. We determine the isochrones, using the method of Darboux: the linearizing transformation of an isochrone is derived from the expression of the first integral. Our approach is a combination of computational algebraic techniques (Gr\"obner bases, theory of the resultant, Sturm's algorithm), the theory of ideals of noetherian rings and the transversality theory of algebraic curves.
| Estimates for the heat kernel on $\SL (n,{\bf R})/\SO (n)$
Sawyer, P.
In \cite{Anker}, Jean-Philippe Anker conjectures an upper bound for the heat kernel of a symmetric space of noncompact type. We show in this paper that his prediction is verified for the space of positive definite $n\times n$ real matrices.
| Limit transitions for BC type multivariable orthogonal polynomials
Stokman, Jasper V.; Koornwinder, Tom H.
Limit transitions will be derived between the five parameter family of Askey-Wilson polynomials, the four parameter family of big $q$-Jacobi polynomials and the three parameter family of little $q$-Jacobi polynomials in $n$ variables associated with root system $\BC$. These limit transitions generalize the known hierarchy structure between these families in the one variable case. Furthermore it will be proved that these three families are $q$-analogues of the three parameter family of $\BC$ type Jacobi polynomials in $n$ variables. The limit transitions will be derived by taking limits of $q$-difference operators which have these polynomials as eigenfunctions.
| On Hurwitz constants for Fuchsian groups
Vulakh, L. Ya.
Explicit bounds for the Hurwitz constants for general cofinite Fuchsian groups have been found. It is shown that the bounds obtained are exact for the Hecke groups and triangular groups with signature $(0:2,p,q)$.
| Characteristic cycles in Hermitian symmetric spaces
Boe, Brian D.; Fu, Joseph H. G.
We give explicit combinatorial expresssions for the characteristic cycles associated to certain canonical sheaves on Schubert varieties $X$ in the classical Hermitian symmetric spaces: namely the intersection homology sheaves $IH_X$ and the constant sheaves $\Bbb C_X$. The three main cases of interest are the Hermitian symmetric spaces for groups of type $A_n$ (the standard Grassmannian), $C_n$ (the Lagrangian Grassmannian) and $D_n$. In particular we find that $CC(IH_X)$ is irreducible for all Schubert varieties $X$ if and only if the associated Dynkin diagram is simply laced. The result for Schubert varieties in the standard Grassmannian had been established earlier by Bressler, Finkelberg and Lunts, while the computations in the $C_n$ and $D_n$ cases are new.
| Fine spectra and limit laws I. First-order laws
Burris, Stanley; Sárközy, András
Using Feferman-Vaught techniques we show a certain property of the fine spectrum of an admissible class of structures leads to a first-order law. The condition presented is best possible in the sense that if it is violated then one can find an admissible class with the same fine spectrum which does not have a first-order law. We present three conditions for verifying that the above property actually holds. The first condition is that the count function of an admissible class has regular variation with a certain uniformity of convergence. This applies to a wide range of admissible classes, including those satisfying Knopfmacher's Axiom A, and those satisfying Bateman and Diamond's condition. The second condition is similar to the first condition, but designed to handle the discrete case, {\it i.e.}, when the sizes of the structures in an admissible class $K$ are all powers of a single integer. It applies when either the class of indecomposables or the whole class satisfies Knopfmacher's Axiom A$^\#$. The third condition is also for the discrete case, when there is a uniform bound on the number of $K$-indecomposables of any given size.
| Gorenstein Witt rings II
Fitzgerald, Robert W.
The abstract Witt rings which are Gorenstein have been classified when the dimension is one and the classification problem for those of dimension zero has been reduced to the case of socle degree three. Here we classifiy the Gorenstein Witt rings of fields with dimension zero and socle degree three. They are of elementary type.
| Classical orthogonal polynomials as moments
Ismail, Mourad E. H.; Stanton, Dennis
We show that the Meixner, Pollaczek, Meixner-Pollaczek, the continuous $q$-ultraspherical polynomials and Al-Salam-Chihara polynomials, in certain normalization, are moments of probability measures. We use this fact to derive bilinear and multilinear generating functions for some of these polynomials. We also comment on the corresponding formulas for the Charlier, Hermite and Laguerre polynomials.
| Some summation theorems and transformations for $q$-series
Ismail, Mourad E. H.; Rahman, Mizan; Suslov, Sergei K.
We introduce a double sum extension of a very well-poised series and extend to this the transformations of Bailey and Sears as well as the ${}_6\f_5$ summation formula of F.~H.~Jackson and the $q$-Dixon sum. We also give $q$-integral representations of the double sum. Generalizations of the Nassrallah-Rahman integral are also found.
| A counterexample in $L^p$ approximation by harmonic functions
Mateu, Joan
For ${n \over {n-2}}\leq p<\infty$ we show that the conditions $C_{2,q}(G\setminus \dox)=C_{2,q}(G \setminus X)$ for all open sets $G$, $C_{2,q}$ denoting Bessel capacity, are not sufficient to characterize the compact sets $X$ with the property that each function harmonic on $\dox$ and in $L^p(X)$ is the limit in the $L^p$ norm of a sequence of functions which are harmonic on neighbourhoods of $X$.
| Summing up the dynamics of quadratic Hamiltonian systems with a center
Pal, Janos; Schlomiuk, Dana
In this work we study the global geometry of planar quadratic Hamiltonian systems with a center and we sum up the dynamics of these systems in geometrical terms. For this we use the algebro-geometric concept of multiplicity of intersection $I_p(P,Q)$ of two complex projective curves $P(x,y,z) = 0$, $Q(x,y,z) = 0$ at a point $p$ of the plane. This is a convenient concept when studying polynomial systems and it could be applied for the analysis of other classes of nonlinear systems.
| The Schreier technique for subalgebras of a free Lie algebra
Rosset, Shmuel; Wasserman, Alon
In group theory Schreier's technique provides a basis for a subgroup of a free group. In this paper an analogue is developed for free Lie algebras. It hinges on the idea of cutting a Hall set into two parts. Using it, we show that proper subalgebras of finite codimension are not finitely generated and, following M.~Hall, that a finitely generated subalgebra is a free factor of a subalgebra of finite codimension.
| On the zeros of some genus polynomials
Stahl, Saul
In the genus polynomial of the graph $G$, the coefficient of $x^k$ is the number of distinct embeddings of the graph $G$ on the oriented surface of genus $k$. It is shown that for several infinite families of graphs all the zeros of the genus polynomial are real and negative. This implies that their coefficients, which constitute the genus distribution of the graph, are log concave and therefore also unimodal. The geometric distribution of the zeros of some of these polynomials is also investigated and some new genus polynomials are presented.
| Fine spectra and limit laws II First-order 0--1 laws.
Burris, Stanley; Compton, Kevin; Odlyzko, Andrew; Richmond, Bruce
Using Feferman-Vaught techniques a condition on the fine spectrum of an admissible class of structures is found which leads to a first-order 0--1 law. The condition presented is best possible in the sense that if it is violated then one can find an admissible class with the same fine spectrum which does not have a first-order 0--1 law. If the condition is satisfied (and hence we have a first-order %% 0--1 law)
| On $\lowercase{q}$-Carleson measures for spaces of ${\cal M}$-harmonic functions
Cascante, Carme; Ortega, Joaquin M.
In this paper we study the $q$-Carleson measures for a space $h_\alpha^p$ of ${\cal M}$-harmonic potentials in the unit ball of $\C^n$, when $q<p$. We obtain some computable sufficient conditions, and study the relations among them.
| Some adjunction-theoretic properties of codimension two non-singular subvarities of quadrics
de Cataldo, Mark Andrea A.
We make precise the structure of the first two reduction morphisms associated with codimension two non-singular subvarieties of non-singular quadrics $\Q^n$, $n\geq 5$. We give a coarse classification of the same class of subvarieties when they are assumed not to be of log-general-type.}
| Geodesic flow on ideal polyhedra
Charitos, Charalambos; Tsapogas, Georgios
In this work we study the geodesic flow on $n$-dimensional ideal polyhedra and establish classical (for manifolds of negative curvature) results concerning the distribution of closed orbits of the flow.
| Density questions for the truncated matrix moment problem
Duran, Antonio J.; Lopez-Rodriguez, Pedro
For a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures $\mu$ in $V_{2n}$ (this is the set of solutions of the problem of degree $2n$) for which the polynomials up to degree $n$ are dense in the corresponding space ${\cal L}^2(\mu)$. These matrices of measures are exactly the extremal measures of the set $V_n$.
| Galois module structure of the integers in wildly ramified $C_p\times C_p$ extensions
Elder, G. Griffith; Madan, Manohar L.
Let $L/K$ be a finite Galois extension of local fields which are finite extensions of $\bQ_p$, the field of $p$-adic numbers. Let $\Gal (L/K)=G$, and $\euO_L$ and $\bZ_p$ be the rings of integers in $L$ and $\bQ_p$, respectively. And let $\euP_L$ denote the maximal ideal of $\euO_L$. We determine, explicitly in terms of specific indecomposable $\bZ_p[G]$-modules, the $\bZ_p[G]$-module structure of $\euO_L$ and $\euP_L$, for $L$, a composite of two arithmetically disjoint, ramified cyclic extensions of $K$, one of which is only weakly ramified in the sense of Erez \cite{erez}.
| Dilations of one parameter Semigroups of positive Contractions on $L^{\lowercase {p}}$ spaces
Fendler, Gero
It is proved in this note, that a strongly continuous semigroup of (sub)positive contractions acting on an $L^p$-space, for $1<p<\infty$ $p \not= 2$, can be dilated by a strongly continuous group of (sub)positive isometries in a manner analogous to the dilation M.~A.~Ak\c{c}oglu and L.~Sucheston constructed for a discrete semigroup of (sub)positive contractions. From this an improvement of a von Neumann type estimation, due to R.~R.~Coifman and G.~Weiss, on the transfer map belonging to the semigroup is deduced.
| Twisted Hasse-Weil $L$-functions and the rank of Mordell-Weil groups
Howe, Lawrence
Following a method outlined by Greenberg, root number computations give a conjectural lower bound for the ranks of certain Mordell-Weil groups of elliptic curves. More specifically, for $\PQ_{n}$ a \pgl{{\bf Z}/p^{n}{\bf Z}}-extension of ${\bf Q}$ and $E$ an elliptic curve over {\bf Q}, define the motive $E \otimes \rho$, where $\rho$ is any irreducible representation of $\Gal (\PQ_{n}/{\bf Q})$. Under some restrictions, the root number in the conjectural functional equation for the $L$-function of $E \otimes \rho$ is easily computible, and a `$-1$' implies, by the Birch and Swinnerton-Dyer conjecture, that $\rho$ is found in $E(\PQ_{n}) \otimes {\bf C}$. Summing the dimensions of such $\rho$ gives a conjectural lower bound of $$ p^{2n} - p^{2n - 1} - p - 1 $$ for the rank of $E(\PQ_{n})$.
| Finite dimensional representations of $U_t\bigl(\rmsl (2)\bigr)$ at roots of unity
Jie, Xiao
All finite dimensional indecomposable representations of $U_t (\rmsl (2))$ at roots of $1$ are determined.
| Trace functions in the ring of fractions of polycyclic group rings, II
Lichtman, A. I.
We prove the existence of trace functions in the rings of fractions of polycyclic-by-finite group rings or their homomorphic images. In particular a trace function exists in the ring of fractions of $KH$, where $H$ is a polycyclic-by-finite group and $\char K > N$, where $N$ is a constant depending on $H$.
| Boundedness of solutions of parabolic equations with anisotropic growth conditions
Yu, Minqi; Lian, Xiting
In this paper, we consider the parabolic equation with anisotropic growth conditions, and obtain some criteria on boundedness of solutions, which generalize the corresponding results for the isotropic case.
| The Zero Distribution of Orthogonal Rational Functions on the Unit Circle
Pan, K.
Rational functions orthogonal on the unit circle with prescribed poles lying outside the unit circle are studied. We use the potential theory to discuss the zeros distribution for the orthogonal rational functions.
| Sur l'intégrabilité des sous-algèbres de Lie en dimension infinie
Robart, Thierry
Une des questions fondamentales de la th\'eorie des groupes de Lie de dimension infinie concerne l'int\'egrabilit\'e des sous-alg\`ebres de Lie topologiques $\cal H$ de l'alg\`ebre de Lie $\cal G$ d'un groupe de Lie $G$ de dimension infinie au sens de Milnor. Par contraste avec ce qui se passe en th\'eorie classique il peut exister des sous-alg\`ebres de Lie ferm\'ees $\cal H$ de $\cal G$ non-int\'egrables en un sous-groupe de Lie. C'est le cas des alg\`ebres de Lie de champs de vecteurs $C^{\infty}$ d'une vari\'et\'e compacte qui ne d\'efinissent pas un feuilletage de Stefan. Heureusement cette ``imperfection" de la th\'eorie n'est pas partag\'ee par tous les groupes de Lie int\'eressants. C'est ce que montre cet article en exhibant une tr\`es large classe de groupes de Lie de dimension infinie exempte de cette imperfection. Cela permet de traiter compl\`etement le second probl\`eme fondamental de Sophus Lie pour les groupes de jauge de la physique-math\'ematique et les groupes formels de diff\'eomorphismes lisses de $\R^n$ qui fixent l'origine.
| Non-Hermitian solutions of algebraic Riccati equation
Rodman, Leiba
Non-hermitian solutions of algebraic matrix Riccati equations (of the continuous and discrete types) are studied. Existence is proved of non-hermitian solutions with given upper bounds of the ranks of the skew-hermitian parts, under the sign controllability hypothesis.
| Rational Classification of simple function space components for flag manifolds.
Smith, Samuel Bruce
Let $M(X,Y)$ denote the space of all continous functions between $X$ and $Y$ and $M_f(X,Y)$ the path component corresponding to a given map $f: X\rightarrow Y.$ When $X$ and $Y$ are classical flag manifolds, we prove the components of $M(X,Y)$ corresponding to ``simple'' maps $f$ are classified up to rational homotopy type by the dimension of the kernel of $f$ in degree two cohomology. In fact, these components are themselves all products of flag manifolds and odd spheres.
| Maps in locally orientable surfaces and integrals over real symmetric surfaces
Goulden, I. P.; Jackson, D. M.
The genus series for maps is the generating series for the number of rooted maps with a given number of vertices and faces of each degree, and a given number of edges. It captures topological information about surfaces, and appears in questions arising in statistical mechanics, topology, group rings, and certain aspects of free probability theory. An expression has been given previously for the genus series for maps in locally orientable surfaces in terms of zonal polynomials. The purpose of this paper is to derive an integral representation for the genus series. We then show how this can be used in conjunction with integration techniques to determine the genus series for monopoles in locally orientable surfaces. This complements the analogous result for monopoles in orientable surfaces previously obtained by Harer and Zagier. A conjecture, subsequently proved by Okounkov, is given for the evaluation of an expectation operator acting on the Jack symmetric function. It specialises to known results for Schur functions and zonal polynomials.
| Proof of a conjecture of Goulden and Jackson
Okounkov, Andrei
We prove an integration formula involving Jack polynomials conjectured by I.~P.~Goulden and D.~M.~Jackson in connection with enumeration of maps in surfaces.
| Polynomials with $\{ 0, +1, -1\}$ coefficients and a root close to a given point
Borwein, Peter; Pinner, Christopher
For a fixed algebraic number $\alpha$ we discuss how closely $\alpha$ can be approximated by a root of a $\{0,+1,-1\}$ polynomial of given degree. We show that the worst rate of approximation tends to occur for roots of unity, particularly those of small degree. For roots of unity these bounds depend on the order of vanishing, $k$, of the polynomial at $\alpha$. In particular we obtain the following. Let ${\cal B}_{N}$ denote the set of roots of all $\{0,+1,-1\}$ polynomials of degree at most $N$ and ${\cal B}_{N}(\alpha,k)$ the roots of those polynomials that have a root of order at most $k$ at $\alpha$. For a Pisot number $\alpha$ in $(1,2]$ we show that \[ \min_{\beta \in {\cal B}_{N}\setminus \{ \alpha \}} |\alpha -\beta| \asymp \frac{1}{\alpha^{N}}, \] and for a root of unity $\alpha$ that \[ \min_{\beta \in {\cal B}_{N}(\alpha,k)\setminus \{\alpha\}} |\alpha -\beta|\asymp \frac{1}{N^{(k+1) \left\lceil \frac{1}{2}\phi (d)\right\rceil +1}}. \] We study in detail the case of $\alpha=1$, where, by far, the best approximations are real. We give fairly precise bounds on the closest real root to 1. When $k=0$ or 1 we can describe the extremal polynomials explicitly.
| Quantization of the $4$-dimensional nilpotent orbit of SL(3,$\mathbb{R}$)
Brylinski, Ranee
We give a new geometric model for the quantization of the 4-dimensional conical (nilpotent) adjoint orbit $O_\mathbb{R}$ of SL$(3,\mathbb{R})$. The space of quantization is the space of holomorphic functions on $\mathbb{C}^2- \{ 0 \}$ which are square integrable with respect to a signed measure defined by a Meijer $G$-function. We construct the quantization out a non-flat Kaehler structure on $\mathbb{C}^2 - \{ 0 \}$ (the universal cover of $O_\mathbb{R}$ ) with Kaehler potential $\rho=|z|^4$.
| Approximation by multiple refinable functions
Jia, R. Q.; Riemenschneider, S. D.; Zhou, D. X.
We consider the shift-invariant space, $\bbbs(\Phi)$, generated by a set $\Phi=\{\phi_1,\ldots,\phi_r\}$ of compactly supported distributions on $\RR$ when the vector of distributions $\phi:=(\phi_1,\ldots,\phi_r)^T$ satisfies a system of refinement equations expressed in matrix form as $$ \phi=\sum_{\alpha\in\ZZ}a(\alpha)\phi(2\,\cdot - \,\alpha) $$ where $a$ is a finitely supported sequence of $r\times r$ matrices of complex numbers. Such {\it multiple refinable functions} occur naturally in the study of multiple wavelets.
| Homomorphisms from $C(X)$ into $C^*$-algebras
Lin, Huaxin
Let $A$ be a simple $C^*$-algebra with real rank zero, stable rank one and weakly unperforated $K_0(A)$ of countable rank. We show that a monomorphism $\phi\colon C(S^2) \to A$ can be approximated pointwise by homomorphisms from $C(S^2)$ into $A$ with finite dimensional range if and only if certain index vanishes. In particular, we show that every homomorphism $\phi$ from $C(S^2)$ into a UHF-algebra can be approximated pointwise by homomorphisms from $C(S^2)$ into the UHF-algebra with finite dimensional range. As an application, we show that if $A$ is a simple $C^*$-algebra of real rank zero and is an inductive limit of matrices over $C(S^2)$ then $A$ is an AF-algebra. Similar results for tori are also obtained. Classification of ${\bf Hom}\bigl(C(X),A\bigr)$ for lower dimensional spaces is also studied.
| A characterization of two weight norm inequalities for one-sided operators of fractional type
Lorente, Maria
In this paper we give a characterization of the pairs of weights $(\w,v)$ such that $T$ maps $L^p(v)$ into $L^q(\w)$, where $T$ is a general one-sided operator that includes as a particular case the Weyl fractional integral. As an application we solve the following problem: given a weight $v$, when is there a nontrivial weight $\w$ such that $T$ maps $L^p(v)$ into $L^q(\w )$?
| Ray sequences of best rational approximants for $|x|^\alpha$
Saff, E. B.; Stahl, H.
The convergence behavior of best uniform rational approximations $r^\ast_{mn}$ with numerator degree~$m$ and denominator degree~$n$ to the function $|x|^\alpha$, $\alpha>0$, on $[-1,1]$ is investigated. It is assumed that the indices $(m,n)$ progress along a ray sequence in the lower triangle of the Walsh table, {\it i.e.} the sequence of indices $\{ (m,n)\}$ satisfies $$ {m\over n}\rightarrow c\in [1, \infty)\quad\hbox{as } m+ n\rightarrow\infty. $$ In addition to the convergence behavior, the asymptotic distribution of poles and zeros of the approximants and the distribution of the extreme points of the error function $|x|^\alpha - r^\ast_{mn} (x)$ on $[-1,1]$ will be studied. The results will be compared with those for paradiagonal sequences $(m=n+2[\alpha/2])$ and for sequences of best polynomial approximants.
| Multiparameter Variational Eigenvalue Problems with Indefinite Nonlinearity
Shibata, Tetsutaro
We consider the multiparameter nonlinear Sturm-Liouville problem $$\displaylines{ u''(x) - \sum_{k=1}^m\mu_k u(x)^{p_k} + \sum_{k=m+1}^n \mu_ku(x)^{p_k} = \lambda u(x)^q, \quad x \in I := (-1,1), \cr u(x) > 0, \quad x \in I, \cr u(-1) = u(1) = 0,\cr}$$ where $\mu = (\mu_1, \mu_2, \ldots, \mu_m, \mu_{m+1}, \ldots \mu_n) \in \bar{R}_+^m \times R_+^{n-m} \bigl(R_+ := (0, \infty)\bigr)$ and $\lambda \in R$ are parameters. We assume that $$1 \le q \le p_1 < p_2 < \cdots < p_n < 2q + 3.$$ We shall establish an asymptotic formula of variational eigenvalue $\lambda = \lambda(\mu,\alpha)$ obtained by using Ljusternik-Schnirelman theory on general level set $N_{\mu,\alpha} (\alpha > 0:$ parameter of level set). Furthermore, we shall give the optimal condition of $\{(\mu, \alpha)\}$, under which $\mu_i (m + 1 \le i \le n: \hbox{\rm fixed})$ dominates the asymptotic behavior of $\lambda(\mu,\alpha)$.
| Sets on which measurable functions are determined by their range
Burke, Maxim R.; Ciesielski, Krzysztof
We study sets on which measurable real-valued functions on a measurable space with negligibles are determined by their range.
| The von Neumann algebra $\VN(G)$ of a locally compact group and quotients of its subspaces
Hu, Zhiguo
Let $\VN(G)$ be the von Neumann algebra of a locally compact group $G$. We denote by $\mu$ the initial ordinal with $\abs{\mu}$ equal to the smallest cardinality of an open basis at the unit of $G$ and $X= \{\alpha; \alpha < \mu \}$. We show that if $G$ is nondiscrete then there exist an isometric $*$-isomorphism $\kappa$ of $l^{\infty}(X)$ into $\VN(G)$ and a positive linear mapping $\pi$ of $\VN(G)$ onto $l^{\infty}(X)$ such that $\pi\circ\kappa = \id_{l^{\infty}(X)}$ and $\kappa$ and $\pi$ have certain additional properties. Let $\UCB (\hat{G})$ be the $C^{*}$-algebra generated by operators in $\VN(G)$ with compact support and $F(\hat{G})$ the space of all $T \in \VN(G)$ such that all topologically invariant means on $\VN(G)$ attain the same value at $T$. The construction of the mapping $\pi$ leads to the conclusion that the quotient space $\UCB (\hat{G})/F(\hat{G})\cap \UCB(\hat{G})$ has $l^{\infty}(X)$ as a continuous linear image if $G$ is nondiscrete. When $G$ is further assumed to be non-metrizable, it is shown that $\UCB(\hat{G})/F (\hat{G})\cap \UCB(\hat{G})$ contains a linear isomorphic copy of $l^{\infty}(X)$. Similar results are also obtained for other quotient spaces.
| Majorations effectives pour l'équation de Fermat généralisée
Kraus, Alain
Soient $A$, $B$ et $C$ trois entiers non nuls premiers entre eux deux \`a deux, et $p$ un nombre premier. Comme cons\'equence des travaux de A. Wiles et F. Diamond sur la conjecture de Taniyama-Weil, on explicite une constante $f(A,B,C)$ telle que, sous certaines conditions portant sur $A$, $B$ et $C$, l'\'equation $Ax^p+By^p+Cz^p=0$ n'a aucune solution non triviale dans $\Z$, si $p$ est $>f(A,B,C)$. On d\'emontre par ailleurs, sans condition suppl\'ementaire portant sur $A$, $B$ et $C$, que cette \'equation n'a aucune solution non triviale dans $\Z$, si $p$ divise $xyz$, et si $p$ est $>f(A,B,C)$.
| Isoperimetric inequalities on surfaces of constant curvature
Ku, Hsu-Tung; Ku, Mei-Chin; Zhang, Xin-Min
In this paper we introduce the concepts of hyperbolic and elliptic areas and prove uncountably many new geometric isoperimetric inequalities on the surfaces of constant curvature.
| Factorization in the invertible group of a $C^*$-algebra
Leen, Michael J.
In this paper we consider the following problem: Given a unital \cs\ $A$ and a collection of elements $S$ in the identity component of the invertible group of $A$, denoted \ino, characterize the group of finite products of elements of $S$. The particular $C^*$-algebras studied in this paper are either unital purely infinite simple or of the form \tenp, where $A$ is any \cs\ and $K$ is the compact operators on an infinite dimensional separable Hilbert space. The types of elements used in the factorizations are unipotents ($1+$ nilpotent), positive invertibles and symmetries ($s^2=1$). First we determine the groups of finite products for each collection of elements in \tenp. Then we give upper bounds on the number of factors needed in these cases. The main result, which uses results for \tenp, is that for $A$ unital purely infinite and simple, \ino\ is generated by each of these collections of elements.
| Subalgebras which appear in quantum Iwasawa decompositions
Letzter, Gail
Let $g$ be a semisimple Lie algebra. Quantum analogs of the enveloping algebra of the fixed Lie subalgebra are introduced for involutions corresponding to the negative of a diagram automorphism. These subalgebras of the quantized enveloping algebra specialize to their classical counterparts. They are used to form an Iwasawa type decompostition and begin a study of quantum Harish-Chandra modules.
| Tensor products of analytic continuations of holomorphic discrete series
Ørsted, Bent; Zhang, Genkai
We give the irreducible decomposition of the tensor product of an analytic continuation of the holomorphic discrete series of $\SU(2, 2)$ with its conjugate.
| $1$-complemented subspaces of spaces with $1$-unconditional bases
Randrianantoanina, Beata
We prove that if $X$ is a complex strictly monotone sequence space with $1$-un\-con\-di\-tion\-al basis, $Y \subseteq X$ has no bands isometric to $\ell_2^2$ and $Y$ is the range of norm-one projection from $X$, then $Y$ is a closed linear span a family of mutually disjoint vectors in $X$.
| Hecke algebras and class-group invariant
Snaith, V. P.
Let $G$ be a finite group. To a set of subgroups of order two we associate a $\mod 2$ Hecke algebra and construct a homomorphism, $\psi$, from its units to the class-group of ${\bf Z}[G]$. We show that this homomorphism takes values in the subgroup, $D({\bf Z}[G])$. Alternative constructions of Chinburg invariants arising from the Galois module structure of higher-dimensional algebraic $K$-groups of rings of algebraic integers often differ by elements in the image of $\psi$. As an application we show that two such constructions coincide.
| Pieri's formula via explicit rational equivalence
Sottile, Frank
Pieri's formula describes the intersection product of a Schubert cycle by a special Schubert cycle on a Grassmannian. We present a new geometric proof, exhibiting an explicit chain of rational equivalences from a suitable sum of distinct Schubert cycles to the intersection of a Schubert cycle with a special Schubert cycle. The geometry of these rational equivalences indicates a link to a combinatorial proof of Pieri's formula using Schensted insertion.
| The explicit solution of the $\bar\partial$-Neumann problem in a non-isotropic Siegel domain
Tie, Jingzhi
In this paper, we solve the $\dbar$-Neumann problem on $(0,q)$ forms, $0\leq q \leq n$, in the strictly pseudoconvex non-isotropic Siegel domain: \[ \cU=\left\{ \begin{array}{clc} &\bz=(z_1,\ldots,z_n) \in \C^{n},\\ (\bz,z_{n+1}):&&\Im (z_{n+1}) > \sum_{j=1}^{n}a_j |z_j|^2 \\ &z_{n+1}\in \C; \end{array} \right\}, \] where $a_j> 0$ for $j=1,2,\ldots, n$. The metric we use is invariant under the action of the Heisenberg group on the domain. The fundamental solution of the related differential equation is derived via the Laguerre calculus. We obtain an explicit formula for the kernel of the Neumann operator. We also construct the solution of the corresponding heat equation and the fundamental solution of the Laplacian operator on the Heisenberg group.
| Stable parallelizability of partially oriented flag manifolds II
Sankaran, Parameswaran; Zvengrowski, Peter
In the first paper with the same title the authors were able to determine all partially oriented flag manifolds that are stably parallelizable or parallelizable, apart from four infinite families that were undecided. Here, using more delicate techniques (mainly K-theory), we settle these previously undecided families and show that none of the manifolds in them is stably parallelizable, apart from one 30-dimensional manifold which still remains undecided.
| Author Index - Index des auteurs
1997, for 1997 - pour


text:
SACRAMENTO LODGE No.40
Page 35-44
The first installation of the officers of Sacramento Lodge No. 40 was held Friday evening, May 26, 1854. Past Grand Master Townsend A. THOMAS was the installing officer. At this meeting, our Lodge recommended that dispensation from the Grand Lodge be issued to form two new Lodges: one to be called Volcano Lodge at Volcano, Calaveras County, and the other, Union Lodge at Sacramento.
On December 7, 1855, a resolution was unanimously adopted suggesting that the Grand Lodge of California should be permanently located in the City of Sacramento.
On November 7, 1856, one hundred copies of the printed Masonic Burial Service, arranged by the Right Worshipful Grand Secretary, Alexander G. ABELL, were ordered for the use of our Lodge. On the same date Brother W. F. KNOX was appointed to serve as our representative on the committee for selecting the location and supervising the erection of the proposed new Masonic Hall.
On June 12, 1857, its first Masonic trial was conducted by our Lodge. The charge was "conduct unbecoming a Mason." The accused Brother was found not guilty.
From about July, 1857, to about April, 1882, the Secretaries of our Lodge kept a "Black Book" in which were inscribed the names of all men within the jurisdiction of the Grand Lodge of California, who had been rejected for membership in the subordinate Lodges, suspended, or expelled, together with the dates of the action taken. In the event that a member was reinstated, the date of the restoration was shown. Information for this record was supplied by the Grand Lodge. This custom, however, was gradually discontinued as it became too much of a burden upon the secretaries, but it was not until 1891 that the Grand finally dispensed with the ruling, although it continued for a while to provide the subordinate Lodges with circulars containing the names of those who had been rejected, suspended, or expelled. The Lodges are no longer required to keep a file on the subject.
On December 4, 1857, it was decided that the Lodge would not vote for more than one degree at a time to any candidate. It was also determined that the Secretary, heretofore unpaid, should receive an annual salary of $75.00 and 5 per cent of all collections for the faithful discharge of his duties but not until he discharged the duties to the satisfaction of the finance committee. The salary was to be paid in quarterly installments of $18.75.
On December 2, 1859, our Lodge recommended that the Grand Lodge grant a dispensation to open a new Lodge at Franklin, in the county of Sacramento.
Page 36
Immediately following the joint installation ceremonies of the Sacramento Lodges by the Most Worshipful N. Greene CURTIS, Grand Master of Masons of California on December 27, 1860. Brother W. H. HILL on behalf of the members of Sacramento Lodge No. 40, presented Brother W. F. KNOX, the retiring Worshipful Master with a beautiful Past Master's jewel as a token of the respect and in appreciation of his services as Worshipful Master of our Lodge during the years 1857 to 1860 inclusive. The jewel made of pure gold, is now a treasured possession of our Lodge, it having been presented to us by the relatives of Brother Knox after his passing. The diamond which was originally set in the jewel was retained by the family. It has been replaced by a beautiful moonstone.
During the Twelfth Annual Communication of the Grand Lodge of California held in Sacramento City on Wednesday afternoon, May 15, 1861, the Most Worshipful Grand Master, N. Greene CURTIS, assisted by the Deputy Grand Master and the Grand Wardens laid the cornerstone of the State Capitol. After the ceremony, the Grand Lodge officers returned to the Masonic Hall and the Grand Master, in behalf of the fraternity of the City of Sacramento, invited all of its officers and members to partake of a banquet to be given in the Pavilion of the State Agricultural Society, located at the N. E. corner of 6th and M Streets, at 7:30 o'clock that evening. The members of the banquet committee were W. F. KNOX (Sacramento Lodge No. 40), J. H. CULVER (Tehama Lodge No. 3), Richard DALE (Union Lodge No. 58) and John WHITELAW (Concord Lodge No. 117). The report of the Banquet Committee indicated that $1,694.00 had been raised by subscription of which amount $100.00 had been contributed by the State of California. The cost of the Banquet was $1,523.00, leaving a balance of $170.24.
It is interesting to note that after the State Capitol was enlarged in 1952, some difficulty was experienced in locating the cornerstone, and it was not until communicating with the Grand Lodge that it was finally located.
On July 1, 1864, Sacramento Lodge No. 40 recommended to the Grand Master, the granting of a dispensation to form a new lodge at Elk Grove, Sacramento County.
On May 7, 1869, a committee was appointed to act with committees from the other Sacramento Lodges to purchase 5 acres of land adjoining the City Cemetery for a Masonic burial plot.
On April 29, 1870, Sacramento Lodge No. 40 agreed to contribute the same as the other lodges to defray the expense of sprinkling 10th Street from N Street to the City Cemetery.
On July 7, 1871, the salary of the Secretary was reduced to $75.00 per annum; the 5 per cent on collections to be discontinued.
On May 2, 1873, Sacramento Lodge No. 40 was presented with a picture representing King Solomon's Temple, by Bro. S. J. NATHAN "as token of his esteem to this Lodge and its members."
The Minute Book containing the minutes of the Lodge from December 4,1874 to April 6, 1888 is missing. It was presumably lost while the records were being transferred from the Masonic Temple at 6th and K streets to the present location.
On January 3, 1890, our representative to the Masonic Hall Association was instructed to act favorably with the other delegates in the purchase of a new pipe organ to be installed in the Masonic Hall.
On March 6, 1891, all other business being finished, the Worshipful Master requested that all who were not members of this Lodge retire. Bro. R. B. HARMON then arose and in appropriate words presented Sacramento Lodge No. 40 with a check for $500.00 on behalf of Bro. Jefferson WILCOXSON who realized that his time allotted upon this earth was fast drawing to a close. Bro. WILCOXSON who was unable to be present expressed the wish that no publicity whatever be given to the gift as it was intended for Sacramento Lodge only to know of its existence.
On August 5, 1892, a communication was received from David Lubin, President of the Historical Committee of the State Fair for 1892, requesting a loan of curios, relics, pictures, historical documents, etc. for exhibition in the historical section but he was informed that our Lodge was not in possession of any articles which would be of interest to the committee.
On March 3, 1893, the Secretary's salary was raised to $100.00 per annum to take effect July 1, 1893.
On May 5, 1893, a contribution was made to Fall River Lodge No. 276 of Burgettville, Shasta County which requested assistance to enable it to retain its Hall which it was liable to lose by a foreclosure of the mortgage. According to the records of Grand Lodge, Fall River Lodge No. 270 failed to exist after Oct. 10, 1895.
On April 1, 1898, a committee of three was appointed to draft suitable resolutions expressive of the high appreciation of Sacramento Lodge No. 40 for the work done by Detective FISHER and others in promptly arresting the assailants of our Brother CROLY and placing them in "felon cells" and on May 6, 1898, the following resolutions were unanimously adopted.
"Whereas, Brother E. J. CROLY, a respected and upright citizen of this community and a member of Sacramento Lodge No. 40 F & A. M. on the night of March 21, 1898, and in the sanctity of his own home, was assassinated (assailed) and almost killed by ruffians and thugs, and
Whereas, by the energy, vigilance and fidelity to duty of the peace officers of the City of Sacramento and particularly of Chief of Police Thomas DWYER and officer Michael FISHER, the assailants of Mr. CROLY have been detected and brought to speedy conviction and punishment, and
Whereas said officers above named have thereby earned and richly merit the confidence and gratitude of all good citizens.
Therefore be it Resolved, that Sacramento Lodge No. 40 F. & A. M., heartily commends and applauds the effective and creditable work of Chief of Police DWYER and Officer FISHER in their excellent service in the arrest and conviction of assailants of Mr. CROLY, and hereby extends to each of them its sincere and grateful appreciation of their work and fidelity to duty, and
Be it further Resolved that these resolutions be spread at large upon the minutes of the Lodge and that an engrossed copy thereof be presented to each of said officers."
On April 7, 1899 a resolution was adopted expressing the wish, the other Blue Lodges concurring, that the Masonic Hall Committee be authorized to purchase an organ for the benefit of the five Blue Lodges, the price not to exceed $500.00.
On May 5, 1899 it was ordered that 250 ballots, one third of which should be cubes and two thirds balls he purchased and that the ballot box used by the Lodge be suitably lined with a soft cushion.
On June 2, 1899 it was ordered that the Lodge purchase a set of working tools at a cost not to exceed $100.00.
On January 5, 1900, a communication from Tehama Lodge No. 3 was received extending a cordial invitation to all the members of Sacramento Lodge No. 40 together with their wives to attend its fiftieth anniversary.
On February 2, 1900 announcement was made that Bro. Charles W. FRAZIER, Past Master of Sacramento Lodge No. 40 had been appointed inspector of the 18th Masonic District.
On May 30, 1903, the following resolution was introduced by Bro. I. B. GIFFEN, and adopted---
"The Order in this City has grown to such an extent as to render our hall inadequate for its uses.
Be it resolved, That it is the sense of Sacramento Lodge No. 40 that the trustees of the Masonic Hall Association be empowered and authorized to sell the Masonic Temple and to arrange for a site and to build a modern Masonic Temple suitable for the requirements of the Masonic bodies of this City."
On September 4, 1903, the Committee on the 50th Anniversary of our Lodge recommended that the History of the Golden Jubilee be printed and together with a souvenir of the same be placed in a copper box suitably engraved and the box to be placed in the archives of the Lodge to be opened just before the celebration of our 100th anniversary.
Notice was also given that the Grand Lodge would lay the cornerstone of the Westminster Presbyterian Church (then located at the corner of 13th and K streets) on Monday, Sept. 7, and it was ordered that we pay our proportion of expense of a brass band for that occasion.
On October 2, 1903, a communication was received from the Westminster Presbyterian Church thanking the Lodge for our presence and assistance at the laying of the cornerstone of its building on Sept. 7, 1903.
On April 5, 1907, Past Master, William Monroe PETRIE presented a photograph of the original certificate of membership or diploma of Brother John Drake SLOAT, Rear Admiral of the United States Navy, dated October 16, 1805. On the morning of July 7, 1846 Brother SLOAT raised the flag of the United States at Monterey and proclaimed California annexed to the United States.
On May 3, 1907, the offices and members of our Lodge were extended a cordial invitation by Concord Lodge No. 117 to join with it in the celebration of its 50th anniversary on May 15, 1907.
Perhaps the most critical period in the history of our Lodge extended from about the middle of 1908 to early 1912 during which all petitions for the degrees were denied by ballot and there was only one affiliation. This crisis was due, it is believed to the stand taken by one or two members who were determined that no petitions should be favorably acted upon.
In 1910, the membership was summoned to attend a special meeting at which every effort was made to create harmony among the brethren. Speeches were made and a committee appointed to bring about the desired effect, but apparently without effect.
The Most Worshipful Grand Master, on three separate occasions, at the request of the Lodge, issued a special dispensation for the reballoting upon the petition of a certain candidate who had been rejected, but it was not until another petitioner had been received by ballot early in 1912, that the candidate was subsequently elected to receive the degrees, and from thence on, elections proceeded in a normal manner.
On August 2, 1912, our Lodge decided to set aside a sum, not to exceed $300 as a nucleus for the establishment of a Masonic Library for the use of all members of the fraternity and the Board of Trustees of the Masonic Temple Association was authorized to establish such a library. A resolution was also adopted creating the office of librarian who would cooperate with other librarians appointed from other Lodges, members of the Masonic Temple Association, the librarian to be appointed by the Worshipful Master and to hold office for one year.
On January 11, 1916 the first funeral was conducted by Sacramento Lodge No. 40 under the ruling of the Grand Lodge whereby it was no longer necessary that the members meet at the Lodge rooms and open Lodge in due form and return to the Lodge and close. It was made mandatory however that the Secretary must make a record to show that the Brother was buried by the Lodge, giving a list of officers present and the date of the funeral.
This was in accordance with the provisions of Sec. 164 amended at the 1914 annual communication of Grand Lodge. A letter from the Grand Master dated March 24, 1917 stated that when the funeral is held in the Lodge Room, the Lodge must be formally opened.
On February 16, 1917 there was a banquet and a presentation of a jewel to the retiring Master, Allyn L. BURR, by the 25 men who had been raised during the year 1916. An account of the evening was rendered by Secretary Irvine as follows:
"The foregoing can hardly be considered as a part of the
records of this Lodge as it was not opened in due form but I have
inscribed them here as a token of brotherly love to the above named
Brethren for the pleasure given their guests and the thought also
Came to me that in the years to come perhaps when many of them
had entered that "Temple not made with hands," some of their sons
or even grandsons might be looking over the archives of good old
No. 40 this page would be testimony that their ancestors were among
the good fellows that contributed to the welfare and pleasure of their
brethren and guests and helped swell the roll of 1916. I therefore
dedicate this page to the class of 1916.
Fraternally and Sincerely,
R. C. IRVINE, Secretary"
Note: The 25 men raised during the year 1916 were:
Henry Edwin MARVIN
Clarence Hugh MILLER
George Albert SPENCER
Paul Adrian BAUER
Lemuel Oscar LUMRY
Loucien Garton BRAYTON
Henry "R" BROWN
George Collis HICKINGBOTHAM
Frank Veach MAYO
Edward Stratten JONES
Charles Henry MAUERHAN
Donald Harvey ARMSTRONG
George Washington BARR
Hans Andreas DAAE
Leslie Thomas SHOWLER
John KOHLES
Franklin Addison MORAST
George John HENLE, Jr.
Benjamin Howard MARSH
Garrett Gillis DOTY
Gustav Henry WENDT
Arthur Matthew SCHROTH
Harry Andrew HAMILTON
Charles Leslie SWANTON
Of these 25 men Brothers MILLER, SPENCER, LUMRY, HENLE, HICKINGBOTHAM, BARR, SCHROTH, and SWANTON are still members of Sacramento Lodge No. 40.
On September 6, a committee consisting of Bros. James B. GIFFEN, P.M., W. H. RENWICK, W.M., R. C. IRVINE, Secretary, Frank TADE, P.M., H. H. STEPHENSON, P.M., and F. F. ATKINSON was empowered to employ a stenographer and interview the old Masons regarding the early history of California Masonry so that it could be filed in the archives for future generations. So far as it can be ascertained, this was never accomplished.
On Sept. 3, 1920, a vote of thanks was extended to Bro. William DUPEN for a very beautiful and useful "Low Twelve" gong which he had recently presented to the Lodge and the Secretary was instructed to write him under the seal of the Lodge thanking him for the gift.
On January 5, 1923, an emblematic perpetual calendar for the secretary's desk was presented to the Lodge by Bro. Charles F. WRIGHT.
On August 3, 1923, Bro. Fredd MOORE announced that he was organizing a class to read to Bro. John REEVES who eyesight had failed. A class large enough to supply a reader each night was desired. The Lodge was closed out of respect for our Brother Warren G. HARDING, President of the United States who had been called from labor the day before at 7:30 P.M. in San Francisco.
On January 2, 1925 the formation of Provident Lodge in Sacramento was approved, and we wished the original petitioners success.
On February 6, 1925 the formation of Three Pillars Lodge in Sacramento was approved and we wished the original petitioners success.
On Nov. 5, 1926 a request was received from Bro. R. R. CARRYL, a member of Courtland Lodge No. 1034, New York, asking the location of ground where he could pan out $5.00 per day in gold.
On Sept. 3, 1937, a special committee was appointed to compile biographies of our fifty-year brethren and also of any other members whose biographies would be of interest to the Lodge, a copy to be sent to Grand Lodge. Apparently this was never done.
On February 3, 1939, the Secretary was authorized to procure whatever materials he thought necessary to properly preserve certain historical data and records which he had just located and which it was deemed proper to carefully protect against destruction or loss. The Secretary was appointed a committee of one to correlate, arrange and mount the data referred to above, he having the authority to draw upon the membership for assistance in the preparation of such records.
On April 7, 1939, Past Master Charles Madison SMITH reported completion of the steps taken to preserve the records of the Lodge and it was the pleasure of the membership that it be one of the important duties of the Secretary of this Lodge to continue each year the records of this Lodge as brought up to date by our Secretary and to take such steps as may be necessary to carefully preserve these records.
On May 7, 1939, Secretary SMITH reported that the 19 volumes of the Proceedings of the Grand Lodge of California missing from the files of the State Library had been supplied by the office of the Grand Secretary; that the Proceedings from 1850 to 1938 were now available and that other volumes would be added as they were published.
At this meeting it was decided that it shall be required of each Master of Sacramento Lodge No. 40 as soon as practicable after his installation to have his photograph taken in the clothing and regalia of his official position and that the Lodge shall defray the expense of securing one copy of such photograph in order that it may be included in the book of History and Past Masters of our Lodge, the photograph to be mounted with the original papers executed by such Master at the time of his having either received his degrees in this Lodge or affiliating with us.
On June 2, 1939, the Secretary was authorized to prepare and to mail biography blanks to the entire membership of our Lodge and to arrange the biographies received in a suitable binder.
On July 7, 1939, a committee was appointed to purchase a safe to be used, in addition to the one the Lodge then owned, for the preservation of our records.
On December 22, 1939, the officers for the ensuing Masonic year were installed at an open public ceremony for the first time in the history of Sacramento Lodge No. 40.
On October 2, 1942 the Worshipful Master announced that the estate of our late brother William Domer Shonefelt, having been settled, Sacramento Lodge No. 40 received a one-eighth interest therein or a net sum of $2,025.25
On Nov. 6, 1942, a roll of honor of those members who served in World War II was prepared and presented to Sacramento Lodge No. 40 by Bro. John W. McPARTLAND.
On July 5, 1946, a letter dated June 1, 1946 was received from the M.W. Grand Master Arthur W. BROUILLET appealing for funds to restore the building of old Yolo Lodge No. 81 F. & A.M. Yolo, California which building was recently completely destroyed by fire.
On Aug. 2, 1946, Sacramento Lodge No. 40 donated $500 to Yolo Lodge No. 81 to assist it in rebuilding the Masonic Temple in Yolo which was recently destroyed by fire.
On July 11, 1947 Sacramento Lodge participated with other Sacramento Lodges in supplying replacement jewels for the officers of Yolo Lodge No.81, the original jewels having been destroyed by fire. It is interesting to note that Isaac DAVIS, an original petitioner of Sacramento Lodge No. 40 was one of the founders of Yolo Lodge No. 81 which received its dispensation Jan. 24, 1855 and its charter on May 3, 1856. He was made an honorary member of that Lodge. He withdrew from Yolo Lodge No. 81 in 1863.
On July 11, 1947, Secretary Charles Madison SMITH, P.M., received a vote of thanks from the Lodge for having the By-laws Book reconstructed and for research work performed over and above the regular duties of his office.
On March 5, 1948, W. M. Volney SCOTT tendered both
his personal thanks and those of our Lodge to Bro. Frank MILLER for three
beautiful gavels which he presented to Sacramento Lodge No. 40. The gavels are
made from splendid specimens of lignum vitae and the handiwork is exceedingly
On September 3, 1948, a committee was appointed to endeavor to locate our missing minute book covering the period from December 4, 1874, to April 6, 1888. In spite of the exhaustive search made for this minute book it has not been located.
On October 1, 1948, Sacramento Lodge No. 40 agreed to participate with the other local Lodges on a pro-rata basis in the supplying to Georgetown Lodge No. 25, Georgetown, California, Masonic jewels to replace those recently lost in the disastrous fire which destroyed nearly all the Lodge effects.
On August 4, 1950, W. M. Alfred Merrill FISHER read a letter of resignation from the office of Secretary effective 12:01 o'clock A.M., Friday, Sept. 1, 1950, of Charles Madison SMITH, Past Master, due to ill health and Bro. Harry Murdock BAKER, Past Master, was appointed to fill the position.
On Sept. 1, 1950, a presentation from the officers and Past Masters of Sacramento Lodge was made by Past Master Walter STODDARD to our beloved outgoing Secretary, Charles Madison SMITH, and his loving wife, Mabel, although the latter was not present except in spirit. Brother SMITH was presented with a nice table model radio and also a beautiful table lamp for Mrs. SMITH who had been such a pillar of strength and assistance to Brother SMITH and who had rendered unseen service to our Lodge for many years.
On May 2, 1952, biographical sketches of Past Grand Masters James Lawrence ENGLISH and Edmund Clement ATKINSON, which had been prepared by Past Master Walter E. STODDARD were incorporated in the minutes of our Lodge. These biographies had been previously read by Worshipful Master Eugene HUSTON at a service held at the Sacramento City Cemetery April 5, 1952, when Grand Master Louis C. DRAPEAU paid tribute to the deceased Past Grand Master of this area.
On May 9, 1952, the ritualistic work of Bethel No. 159 of the International Order of Job's Daughters was exemplified before the members of Sacramento Lodge No. 40. Miss Patricia LUSK, Honored Queen of this Bethel is the daughter of Hilton E. LUSK, Past Master of Sacramento Lodge No. 40 and Associate Guardian of the Bethel.
On October 23, 1952, the marble cornerstone of the annex to the Public Works Building of the State of California at 12th and O Streets, Sacramento, was laid by Chester H. WARLOW, member of the California Highway Commission and Past Grand Master of Masons in California. The working tools of the craft were supplied by Sacramento Lodge No. 40.
On March 9, 1953, the Executive Committee of the Centennial Celebration of Sacramento Lodge No. 40 met at the home of Junior Warden John VINING. Those present were Boyd COLLIER, Worshipful Master; Forrest Robinson, Senior Warden; John VINING, Junior Warden; Past Masters Nathan GARTNER, Eugene HUSTON, and Walter STODDARD and members Fred AUFORTH and John CLARK.
During the meeting, the copper box which was sealed and placed in the archives of our Lodge on March 4, 1904, by the Committee on the Fiftieth Anniversary, was opened. In the box were found the following:
(1) 1904 Roster of Sacramento Masonic Lodges.
(2) Souvenir Booklet of the 50th Anniversary.
(3) Pamphlet entitled "Golden Jubilee - Sacramento Lodge No. 40 F.
It was the consensus among those present that these documents, together with appropriate souvenirs of our Centennial celebration and other interesting documents he deposited in a box to be opened immediately prior to the celebration of our 150th anniversary.
© 2007 Sally Kaleta.
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subset: commoncrawl


text:
NEW YORK (Oct. 12)
A "good neighbor program" to cement relations between the Jowish community of the United States and the more than 500,000 Jews in South America, and to aid South American Jewish communities in the development of their educational and cultural activities, was recommended today to the Plan and Scope committee of the American Association for Jewish Education meeting here. The proposal was made by Dr. Aharon Kessler, director of community services and consultation for ## Association, in a report on his recently-completed survey tour of five major South American countries.
Dr. Kossler, who studied Jewish educational and cultural activities in Brazil, Uruguay, Argentina, Chile and Peru on behalf of the Association and the World Zionist organization, declared that the Jewish communities in South America have many serious ## exaggerated misconceptions about Jewish life in the United States. "They grossly underestimate the extent of anti-Semitism in the United States," he said, "and are completely misinformed about the vigor and scope of our community life. As a result, ## natural affinity between Jewish communities on the American continent, faced with ## similar problems and with almost identical aims, is beclouded and prevented from expressing itself."In a series of recommendations aimed at the creation of a bridge between the communities, Dr. Kossler proposed that a "Voice of American Jewry" program, similar to the Voice of America, be created to provide South American Jewish periodicals and other organs with clear, accurate and sustained information on Jewish life in the United States. He also suggested a program of systematic iterchange of personnel in ## religious, educational and social service fields between U.S. and South American Jewish communities, and the provision of opportunities for South American community functionaries to study at universities in the United States.Jewish education in the countries he visited, Dr. Kessler stated, is characterized by uniformly low enrollment, less than 25 percent of the children of any Jewish community being registered in the Jewish schools. The curriculum of these schools, he said, is largely ethnic and cultural in emphasis, rather than religious.
Dr. Kessler recommended a program of assistance, including the preparation of educational materials such as texts and audio-visual aids, in Spanish, Portuguese, Yiddish and Hebrew, training opportunities for teachers in the United States and in Israel and periodic visits by U.S. exports in Jewish education to lecture at Jewish teacher-training institutions in South America.


text:
|Sport, 1 pitch, 60'
|YDS: 5.8 French: 5b Ewbanks: 16 UIAA: VI- ZA: 15 British: HVS 4c [details]
|New Route:
|Page Views:
|Submitted By:
|Alan Nelson on Apr 26, 2003
|Comments on Wholly Holey
|Add Comment
|Show which comments —
By Anonymous Coward
Oct 27, 2004
|I'm confused about a few of the "new Routes" you have posted. I have climbed them like everyone else in the world under different names for a long long time! What's up with that?
By Anonymous Coward
Nov 10, 2004
|Is this a new line? I always knew this as an unnamed 5.7. Climbed this for the first time in '97.
By Matt Chan
From: Boulder
Apr 29, 2006
|Agreed... I did this route a few years back. I thought it was pretty poor back then, but now that I know the name - it's garbage. Keep the crusade to the church.
By Dave Fiorucci
From: Boulder, Colorado
Nov 24, 2007
I believe this is a newer climb that wasn't printed in Peter Hubbel's "Golden Cliffs" guide. I hear there will be updated guidebook coming this spring. The [second] bolt over the bulge is the crux; the rest of the climb has good holds, and feet.
I noticed that the hangers on the anchors are a little bit loose. One of the other photos on this page shows that they have the top-rope setup with the anchors backed up. I am not sure what their motivation was, but maybe somebody who knows about bolt safety should take a look.
By David Appelhans
From: Medford, MA
Apr 1, 2008
rating: 5.7+ 5a 15 V+ 13 MVS 4b
|The route described is indeed a new route (at least it was not included in Hubbel's latest guidebook). However, the pictures linked to the route are actually pictures of Pack o' Bobs [Eds. now corrected], an old route just to the left of Wholly Holey.
By Julius Beres
From: Boulder, CO
Sep 13, 2008
rating: 5.9 5c 17 VI 17 HVS 5a
|I thought the reach for the "good jug" over the roof was rather tough. I kind of did it a bit recklessly based on the description looking for a jug and pumped myself out. I found it to be a long reach, and I would say as hard as some of the 5.9/5.10a roofs in Boulder Canyon. Perhaps it is easier for taller climbers, but I had to use a marginal hold before I could reach the jug. The rest of the route isn't particularly interesting or difficult. A one move wonder.
By Jon Underhill
Jun 21, 2009
|David Appelhans is correct. This is a 'new' climb AND the pictures focus on Pack O' Bobs [Eds. now corrected]. The climb is immediately to the right of Pack O' Bobs. The TR line (running to the belayer) in the main photo for this page comes down Wholly Holey. The climber is going up Pack O' Bobs.
By Ryan Flynn
From: Maple Valley, WA
Oct 15, 2010
rating: 5.8 5b 16 VI- 15 HVS 4c
|Climbed this today (10.14.10) and found a loose bolt if anyone has the time to tighten, would be appreciated. I believe it was the fourth bolt.
By Grey Satterfield
From: Broomfield
Aug 5, 2015
|There's a loose rock in the right hand side crack about halfway up the line. It has some chalk on it trying to spell out "NO", but it's not very distinct. Be careful!
By L Kap
From: Boulder, CO
Apr 17, 2017
|The holds to get over the crux bulge are slick and polished. If you're tall, you can reach past, but at 5'7 I couldn't. Those moves were much harder than 5.8 for me, so I bypassed in the short chimney to the right.


text:
I WAS absolutely gutted when Newport's equaliser hit the back of the net in injury time.
We had battled well to come back from a goal down to be leading at the end of normal time, and it looked like we had secured our first three points of the new year.
When you score three goals at home on most occasions you would expect to win, even when playing a team pushing for promotion.
Despite the downer of the late equaliser there are many positives to take from the Reds' performance.
We looked great on the ball and at times Newport were chasing shadows. And once again we have proved we can score from anywhere.
Peter Murphy's season just keeps getting better and another brace will have done his confidence a world of good. All bets are off on how many goals he will end up with come the end of the season.
Kal Naismith is another player in form who knows how to find the back of the net and never gives up.
The league is so tight at the bottom that the draw means we now sit just above the relegation places and face a tough trip to Cheltenham this Saturday.


text:
PRETORIA, South Africa — The moment of truth has arrived for Bob Bradley, the moment he has waited a lifetime — and especially the last four years — to experience.
Bradley is already only the fourth coach in U.S. history to take a team beyond the first round of the World Cup. Bob Miller did so in 1930, Bora Milutinovic matched that in 1994, and Bruce Arena accomplished the feat in 2002.
Bradley would become only the third to reach the quarterfinals with a win over Ghana at Royal Bafokeng Stadium in Rustenburg today.
What sort of man Miller was is difficult to say, 80 years after the fact. Milutinovic remains an extrovert, the Serb's ready smile, warm welcome and shaggy locks hiding a savvy coach and shrewd tactician.
Arena, to some extent Bradley's mentor, was perceived as haughty, an American who thought he knew as much about the sport as anyone in Europe or South America. It turns out Arena knew what he was doing, and still does.
If Bradley had slipped at South Africa 2010, there would have been some clamoring for Arena to again take charge of the national team.
But Bradley, 52, has not failed. By reaching the second round — on top of his accomplishments in winning the Gold Cup, finishing second in the Confederations Cup and coming out on top in region World Cup qualifying — he likely has secured his job for another four years.
There are no rumblings of discontent among the players and U.S. Soccer seems more than pleased with the gaunt, icy-eyed man from Montclair, N.J.
His players, perhaps doubters at first, are among his staunchest allies.
"Bob has a very distinct way of doing things and some people like it and some don't," Landon Donovan said. "I think it's taken a long time for a lot of us to wrap our heads around what exactly Bob wanted from us, and now we all understand why he put us through some of the things he put us through.
"He could see the big picture from the beginning, while a lot of us were shortsighted."
Instilling self-belief in his players and belief in the system has been crucial. So, too, has been his willingness to study the sport in depth. He intently studies the game at the highest level, and knows the quirks and foibles of leading players and coaches.
"I think he's right up there with the best coaches in terms of tactics," U.S. forward Jozy Altidore said. "I haven't been in a game where I haven't been well-prepared going into it. He analyzes the opponent really well, the key players, what they do, their tendencies."
Where Bradley falls down, perhaps, is in his public image, not that it concerns him very much. He comes across as too much in control of himself, too careful not to show weakness or flaw. It's the Princeton in him.
Reporters wonder whether he is man or machine.
But he does have a sense of humor, he insists. And there is a twinkle in his eye when he hears or sees or says something that amuses him. But Bradley deliberately draws a curtain across his private life, and shields his players in the same way. There is a "them and us" mentality.
Nor are Bradley's public comments in any way useful as quick sound bites. It takes a lot of sifting and sorting to find anything lively and out of the ordinary.
"I'm a pretty simple guy," he said. "I see things for what they are. I'm old-school and (the players) they know it. And, for the most part, they hate it."
They will love it, though, if the U.S. defeats Ghana today.


text:
Put on your dancing shoes and join the over 400 dancers from 40 different countries this weekend at the 5th annual Dubai International Dance Festival [2] (DIDF). The festival, which is being held at the Holiday Inn in Barsha and DUCTAC in the Mall of the Emirates takes place until Saturday and is open to experienced dancers as well as curious observers with events including performances, workshops, parties and guest DJs.
DIDF started in 2007 simply built around salsa, is a Latin dance that has become immensely popular worldwide due to its commercial appeal. Now, five years later, DIDF has evolved into a comprehensive dance festival featuring many different types of Latin dance, including bachata, cha-cha and tango. It also has expanded to include contemporary dance, hip-hop, belly dance and even Bollywood — to give it a unique UAE flavour.
"In 2007 we started with 50 dancers and now we have over 400," festival producer Ahmad Abdullah said. Originally from Somalia but born and raised in the UAE [3], Abdullah — better known as "Ahmad Salsa" by his peers — is something of a pioneer. There from the beginning, he took his first salsa classes in 1997 with British dancer Tami Fowler.
"I just loved Latin music. Salsa music moves me and the passion drove me to pursue dancing," he told tabloid!. Before DIDF, Abdullah would travel around the world with his friends to attend various salsa congresses. However in 2007 he decided that it was time to put Dubai [4]on the salsa map. After putting together several successful festivals, Abdullah says more and more people began to take notice and follow Dubai's lead. Now, salsa has expanded to other GCC countries, but it was Dubai which started it all, Abdullah said.
"In the early days if you wanted to dance salsa, you had to go to Savage Garden in Bur Dubai [at the Capitol Hotel]. Now, on any given day there are several different places you can dance."
"In the past five years particularly, we have seen salsa flourish and even expand to Abu Dhabi and most recently to Fujairah."
But what explains this rapid growth? "As Dubai grows and attracts more and more expatriates, they bring with them the exposure to Latin dance from their home countries. We have many international dancers now in Dubai, including BNF, a group of dancers from Colombia who are the world champions of the International Salsa Cup in America," Abdullah explains. "As more and more dance schools open up, the local talent has grown rapidly. We are proud when our own local talent, for example, is featured in dance festivals around the world. This shows how much we have grown," he said. 31-year-old Dmitri Matalka is just one example of Dubai's local talent. Originally from Jordan, Matalka's passion for salsa grew when he came to Dubai. He started off collecting music for his own pleasure. Now, he is joining other international and local DJs for the first time at the festival after several people pointed out his unique ear for salsa music. "Salsa music is full of passion. I'm addicted to it. When I'm not working I search for music and expand my collection," Matalka says. He has been asked to DJ at the Salsa Congress in Prague later this year. Of course, learning the dance is not easy, but just like everything else it just takes time to master.
"People often get intimidated because it seems complicated and hard to learn," Sara Sharrouf, event coordinator for the festival. said. "Some people think 'oh that will never be me'. But the newly-joined dancers that stick to it and don't give up end up being some of the best dancers in our community. Its incredibly inspiring," she says. Matalka agrees. "It takes time but once you learn, it's addictive and so much fun," he says. "That is why I am so excited for the festival. Anyone, no matter their age or level, can take workshops with our featured artists. Every year the festival inspires more and more people to take up dance. The world has already taken notice of Dubai for being a pioneer of innovation and excellence. We hope to do the same for Dubai — with dance.
[1] http://www.syndigate.info
[2] http://www.albawaba.com/business/pr/diff-9th-edition-427413
[3] http://www.albawaba.com/uae
[4] http://www.albawaba.com/business/pr/dubai-chamber-oracle-fusion-446718
[5] http://www.gulfnews.com


text:
Watch: Cavs' James asked about Irving's zero assists in front of Irving
The final question of LeBron James and Kyrie Irving's Game 3 press conference came with a little added bait.
Mark Schwarz of ESPN asked James about a game earlier in the season, against Utah, when Irving had no assists. Hampered by a foot injury, Irving again registered zero assists in Game 3. "Does [Irving] get a pass though, for tonight...?"
Essentially, the question teed up James to criticize his star teammate, with Irving sitting directly alongside him. Maybe just a little awkward. James expertly deflected it with his response, but it was Irving's reaction that said it all—and produced some nervous laughter from reporters.
You can watch the video below.
wait, this really happened? pic.twitter.com/Y0DlTKSOlA— El Flaco (@bomani_jones) May 9, 2015
- Jeremy Woo