SUN BROADCAST GROUP added 25 new affiliates to its roster in APRIL. The additions include: THE ROOSTER: S.I.P. BROADCASTING Top 40 WKLW (K-94.7)/PAINTSVILLE, KY EXPRESSVO: S.I.P. BROADCASTING … more

MUSIC BUSINESS WORLDWIDE and the HOLLYWOOD REPORTER are both carrying reports on rumors that SAUDI ARABIA's PUBLIC INVESTMENT FUND is making an offer to buy WARNER MUSIC GROUP. The fund … more

Bouygues S.A. is an industrial group headquartered in the 8th arrondissement of Paris, France. Bouygues is listed on Euronext Paris exchange and is a blue chip in the CAC 40 stock market index. The company was founded in 1952 by...

Washington, D.C.—March 2, 2020— Patient and health advocacy groups representing millions of Americans with pre-existing conditions are applauding the U.S. Supreme Court’s decision to hear arguments in the case of Texas v. United States this term. The...

Washington, D.C.—March 20, 2020—Patient groups representing millions of people with serious health conditions are urging a U.S. Court of Appeals for the D.C. Circuit to reject a federal rule expanding the availability of short-term limited-duration...

  WASHINGTON, D.C., March 30, 2020 — As longstanding organizations representing and supporting those on the front lines who are risking their lives caring for the world’s most vulnerable patients, we stand united in voicing our concern over the ...

WASHINGTON, D.C., April 1, 2020 – 28 patient and consumer groups representing millions of people nationwide with pre-existing health conditions issued the following statement regarding the administration’s decision not to initiate a special enrollment...

Today, more than patient advocacy, medical and public health organizations sent a letter to senior Trump Administration officials, appealing to the Administration to take immediate action to alleviate the critical shortage across the nation ventilators...

Today, the U.S. Environmental Protection Agency (EPA) announced a final rule that threatens to undermine the Mercury and Air Toxics Standards. The American Lung Association, Allergy & Asthma Network, Alliance of Nurses for Healthy Environments, American...

CEDAR RAPIDS — Darren Lewis knows his voice is minimal. And he isn’t looking for a political debate. “I just wanted to spread some hope and some positivity,” he said....

In the years since he had returned from Vietnam, Elmer “Snubby” Burket was a self-described workaholic, raising a son, keeping up his house and always taking jobs where he could be by himself as he tried to put the war behind him.

We provide an explicit construction for a class of commutative, non-associative algebras for each of the simple Chevalley groups of simply laced type. Moreover, we equip these algebras with an associating bilinear form, which turns them into Frobenius algebras. This class includes a 3876-dimensional algebra on which the Chevalley group of type E8 acts by automorphisms. We also prove that these algebras admit the structure of (axial) decomposition algebras.

We study two notions of topological entropy of correspondences introduced by Friedland and Dinh-Sibony. Upper bounds are known for both. We identify a class of holomorphic correspondences whose entropy in the sense of Dinh-Sibony equals the known upper bound. This provides an exact computation of the entropy for rational semigroups. We also explore a connection between these two notions of entropy.

Let $1 le r < n$ be integers. We give a proof that the group $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ of automorphisms of the one-sided shift on $n$ letters embeds naturally as a subgroup $mathcal{h}_{n}$ of the outer automorphism group $mathop{mathrm{Out}}(G_{n,r})$ of the Higman-Thompson group $G_{n,r}$. From this, we can represent the elements of $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ by finite state non-initial transducers admitting a very strong synchronizing condition.

Let $H in mathcal{H}_{n}$ and write $|H|$ for the number of states of the minimal transducer representing $H$. We show that $H$ can be written as a product of at most $|H|$ torsion elements. This result strengthens a similar result of Boyle, Franks and Kitchens, where the decomposition involves more complex torsion elements and also does not support practical extit{a priori} estimates of the length of the resulting product.

We also give new proofs of some known results about $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$.

Connections between set theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set theoretic $R$-matrices are expressed as twists of known solutions. We then focus on reflection and twisted algebras and we derive the associated defining algebra relations for $R$-matrices being Baxterized solutions of the $A$-type Hecke algebra ${cal H}_N(q=1)$. We show in the case of the reflection algebra that there exists a "boundary" finite sub-algebra for some special choice of "boundary" elements of the $B$-type Hecke algebra ${cal B}_N(q=1, Q)$. We also show the key proposition that the associated double row transfer matrix is essentially expressed in terms of the elements of the $B$-type Hecke algebra. This is one of the fundamental results of this investigation together with the proof of the duality between the boundary finite subalgebra and the $B$-type Hecke algebra. These are universal statements that largely generalize previous relevant findings, and also allow the investigation of the symmetries of the double row transfer matrix.

Let $k ,=, mathbb{Q}(sqrt[5]{n},zeta_5)$, where $n$ is a positive integer, $5^{th}$ power-free, whose $5-$class group is isomorphic to $mathbb{Z}/5mathbb{Z} imesmathbb{Z}/5mathbb{Z}$. Let $k_0,=,mathbb{Q}(zeta_5)$ be the cyclotomic field containing a primitive $5^{th}$ root of unity $zeta_5$. Let $C_{k,5}^{(sigma)}$ the group of the ambiguous classes under the action of $Gal(k/k_0)$ = $<sigma>$. The aim of this paper is to determine all integers $n$ such that the group of ambiguous classes $C_{k,5}^{(sigma)}$ has rank $1$ or $2$.

Motivated by quotient algorithms, such as the well-known $p$-quotient or solvable quotient algorithms, we describe how to compute extensions $ ilde H$ of a finite group $H$ by a direct sum of isomorphic simple $mathbb{Z}_p H$-modules such that $H$ and $ ilde H$ have the same number of generators. Similar to other quotient algorithms, our description will be via a suitable covering group of $H$. Defining this covering group requires a study of the representation module, as introduced by Gasch"utz in 1954. Our investigation involves so-called Fox derivatives (coming from free differential calculus) and, as a by-product, we prove that these can be naturally described via a wreath product construction. An important application of our results is that they can be used to compute, for a given epimorphism $G o H$ and simple $mathbb{Z}_p H$-module $V$, the largest quotient of $G$ that maps onto $H$ with kernel isomorphic to a direct sum of copies of $V$. For this we also provide a description of how to compute second cohomology groups for the (not necessarily solvable) group $H$, assuming a confluent rewriting system for $H$. To represent the corresponding group extensions on the computer, we introduce a new hybrid format that combines this rewriting system with the polycyclic presentation of the module.

We introduce an infinite-dimensional $p$-adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions.

Let $hat G$ be the finite simply connected version of an exceptional Chevalley group, and let $V$ be a nontrivial irreducible module, of minimal dimension, for $hat G$ over its field of definition. We explore the overgroup structure of $hat G$ in $mathrm{GL}(V)$, and the submodule structure of the exterior square (and sometimes the third Lie power) of $V$. When $hat G$ is defined over a field of odd prime order $p$, this allows us to construct the smallest (with respect to certain properties) $p$-groups $P$ such that the group induced by $mathrm{Aut}(P)$ on $P/Phi(P)$ is either $hat G$ or its normaliser in $mathrm{GL}(V)$.

Let $w$ be a word in $k$ variables. For a finite nilpotent group $G$, a conjecture of Amit states that $N_w(1) ge |G|^{k-1}$, where $N_w(1)$ is the number of $k$-tuples $(g_1,...,g_k)in G^{(k)}$ such that $w(g_1,...,g_k)=1$. Currently, this conjecture is known to be true for groups of nilpotency class 2. Here we consider a generalized version of Amit's conjecture, and prove that $N_w(g) ge |G|^{k-2}$, where $g$ is a $w$-value in $G$, for finite groups $G$ of odd order and nilpotency class 2. If $w$ is a word in two variables, we further show that $N_w(g) ge |G|$, where $g$ is a $w$-value in $G$ for finite groups $G$ of nilpotency class 2. In addition, for $p$ a prime, we show that finite $p$-groups $G$, with two distinct irreducible complex character degrees, satisfy the generalized Amit conjecture for words $w_k =[x_1,y_1]...[x_k,y_k]$ with $k$ a natural number; that is, for $g$ a $w_k$-value in $G$ we have $N_{w_k}(g) ge |G|^{2k-1}$.

Finally, we discuss the related group properties of being rational and chiral, and show that every finite group of nilpotency class 2 is rational.

In this review paper, we survey Hardy type inequalities from the point of view of Folland and Stein's homogeneous groups. Particular attention is paid to Hardy type inequalities on stratified groups which give a special class of homogeneous groups. In this environment, the theory of Hardy type inequalities becomes intricately intertwined with the properties of sub-Laplacians and more general subelliptic partial differential equations. Particularly, we discuss the Badiale-Tarantello conjecture and a conjecture on the geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant.

Let the group $G = AB$ be the product of subgroups $A$ and $B$, and let $p$ be a prime. We prove that $p$ does not divide the conjugacy class size (index) of each $p$-regular element of prime power order $xin Acup B$ if and only if $G$ is $p$-decomposable, i.e. $G=O_p(G) imes O_{p'}(G)$.

We introduce a notion of c-group, which is a group up to congruence relation and consider the corresponding category. Extensions, actions and crossed modules (c-crossed modules) are defined in this category and the semi-direct product is constructed. We prove that each categorical group gives rise to c-groups and to a c-crossed module, which is a connected, special and strict c-crossed module in the sense defined by us. The results obtained here will be applied in the proof of an equivalence of the categories of categorical groups and connected, special and strict c-crossed modules.

We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for $E/F$ a quadratic extension of p-adic fields the associated unitary group $G=mathrm{U}(n,n)$ contains a parabolic subgroup $P$ with Levi component $L$ isomorphic to $mathrm{GL}_n(E)$. Let $pi$ be an irreducible supercuspidal representation of $L$ of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation $iota_P^G pi$ is reducible.

The congruence subgroup problem for a finitely generated group $Gamma$ and $Gleq Aut(Gamma)$ asks whether the map $hat{G} o Aut(hat{Gamma})$ is injective, or more generally, what is its kernel $Cleft(G,Gamma ight)$? Here $hat{X}$ denotes the profinite completion of $X$. In the case $G=Aut(Gamma)$ we denote $Cleft(Gamma ight)=Cleft(Aut(Gamma),Gamma ight)$.

Let $Gamma$ be a finitely generated group, $ar{Gamma}=Gamma/[Gamma,Gamma]$, and $Gamma^{*}=ar{Gamma}/tor(ar{Gamma})congmathbb{Z}^{(d)}$. Denote $Aut^{*}(Gamma)= extrm{Im}(Aut(Gamma) o Aut(Gamma^{*}))leq GL_{d}(mathbb{Z})$. In this paper we show that when $Gamma$ is nilpotent, there is a canonical isomorphism $Cleft(Gamma ight)simeq C(Aut^{*}(Gamma),Gamma^{*})$. In other words, $Cleft(Gamma ight)$ is completely determined by the solution to the classical congruence subgroup problem for the arithmetic group $Aut^{*}(Gamma)$.

In particular, in the case where $Gamma=Psi_{n,c}$ is a finitely generated free nilpotent group of class $c$ on $n$ elements, we get that $C(Psi_{n,c})=C(mathbb{Z}^{(n)})={e}$ whenever $ngeq3$, and $C(Psi_{2,c})=C(mathbb{Z}^{(2)})=hat{F}_{omega}$ = the free profinite group on countable number of generators.

In this paper, we give new constructions of strongly regular Cayley graphs on abelian groups as generalizations of a series of known constructions: the construction of covering extended building sets in finite fields by Xia (1992), the product construction of Menon-Hadamard difference sets by Turyn (1984), and the construction of Paley type partial difference sets by Polhill (2010). Then, we obtain new large families of strongly regular Cayley graphs of Latin square type or negative Latin square type.

We prove that there are no irreducible representations of $B_n$ of dimension $n+1$ for $ngeq 10.$

This paper considers the multi-group multicast beamforming optimization problem, for which the optimal solution has been unknown due to the non-convex and NP-hard nature of the problem. By utilizing the successive convex approximation numerical method and Lagrangian duality, we obtain the optimal multicast beamforming solution structure for both the quality-of-service (QoS) problem and the max-min fair (MMF) problem. The optimal structure brings valuable insights into multicast beamforming: We show that the notion of uplink-downlink duality can be generalized to the multicast beamforming problem. The optimal multicast beamformer is a weighted MMSE filter based on a group-channel direction: a generalized version of the optimal downlink multi-user unicast beamformer. We also show that there is an inherent low-dimensional structure in the optimal multicast beamforming solution independent of the number of transmit antennas, leading to efficient numerical algorithm design, especially for systems with large antenna arrays. We propose efficient algorithms to compute the multicast beamformer based on the optimal beamforming structure. Through asymptotic analysis, we characterize the asymptotic behavior of the multicast beamformers as the number of antennas grows, and in turn, provide simple closed-form approximate multicast beamformers for both the QoS and MMF problems. This approximation offers practical multicast beamforming solutions with a near-optimal performance at very low computational complexity for large-scale antenna systems.

A coalition of immigrant-focused organizations has created the Spokane Relief Fund for Undocumented Immigrants, in order to help families who are unable to access federal aid during the coronavirus shutdowns. The partners sponsoring the work include the Spokane Immigrant Rights Coalition (SIRC), the Hispanic Business and Professional Association, Latinos en Spokane, Mujeres in Action and Raiz.…

Polysubstituted cyclopentadiene compound wherein at least two different substituents are present from the group consisting of linear, branched and cyclic alkyls, aralkyls and alkenyls, and a process for the preparation of a cyclopentadiene compound substituted with at least two different groups chosen from the group consisting of linear, branched, cyclic and aromatic alkyls and alkenyls, characterized in that it comprises the reacting of a halide of a first substituting group in a mixture of the cyclopentadiene compound and an aqueous solution of a base, in which the quantity of the base relative to the cyclopentadiene compound is between 5 and 30 mol/mol, in the presence of a phase transfer catalyst, followed by the addition of a halide of a second or optionally a third substituting group to the reaction mixture.

Disclosed is a process for preparing bridged Group 4 metal complexes containing a neutral diene ligand starting from the corresponding novel, metal diene containing complexes by reaction thereof with the divalent derivative of a bridged bidentate ligand compound. The novel, intermediate metal diene complexes, their formation from tetravalent metal salts and an integrated process combining both process steps are claimed.

The present invention relates to epoxy group-terminated polymers of the formula (I). Said epoxy group-terminated polymers are suited extremely well as impact resistance modifiers, particularly in epoxy resin compositions. They are particularly suited for use in heat-curing epoxy resin adhesives. It has been found that such epoxy resin compositions not only have excellent mechanical properties and high glass transition temperatures, but also above all improved impact resistance properties, both at room temperature and at low temperatures.

An illustrative embodiment of a computer-implemented process for scalable group synthesis receives a group definition, applies a sub-set of conditions to the group definition to form a conditioned group definition, receives a set of entities and populates group membership using the received set of entities and the conditioned group definition, wherein each member responds in the affirmative to the sub-set of conditions.

A liquid crystal compound having a high stability to heat, light and so forth, a high clearing point, a low minimum temperature of a liquid crystal phase, a small viscosity, a suitable optical anisotropy, a large dielectric anisotropy, a suitable elastic constant and an excellent solubility in other liquid crystal compounds, a liquid crystal composition containing the compound, and a liquid crystal display device including the composition. The compound is represented by formula (1): wherein, for example, R1 is fluorine or alkyl having 1 to 10 carbons; ring A1 and ring A2 are 1,4-phenylene, or 1,4-phenylene in which at least one of hydrogen is replaced by fluorine; Z1, Z2 and Z3 are a single bond; L1 and L2 are hydrogen or fluorine; X1 is fluorine or —CF3; and m is 1, and n is 0.

Embodiments provide various techniques for dynamic adjustment of a number of threads for execution in any domain based on domain utilizations. In a multiprocessor system, the utilization for each domain is monitored. If a utilization of any of these domains changes, then the number of threads for each of the domains determined for execution may also be adjusted to adapt to the change.

The present invention is based on the finding that parameters including: a first set of parameters of a representation of a first portion of an original signal and a second set of parameters of a representation of a second portion of the original signal can be efficiently encoded when the parameters are arranged in a first sequence of tuples and a second sequence of tuples. The first sequence of tuples includes tuples of parameters having two parameters from a single portion of the original signal and the second sequence of tuples includes tuples of parameters having one parameter from the first portion and one parameter from the second portion of the original signal. A bit estimator estimates the number of necessary bits to encode the first and the second sequence of tuples. Only the sequence of tuples, which results in the lower number of bits, is encoded.

A phosphazene compound having a vinyl group is manufactured by a reaction between a vinyl compound and a phosphazene compound having a hydroxyl group and added to a resin composition for manufacturing a prepreg or a resin film so as to be applicable to copper-clad laminates and printed circuit boards to thereby achieve satisfactory circuit laminate properties, namely low coefficient of thermal expansion, low dielectric properties, heat resistant, fire resistant, and halogen-free.

Embodiments of the present disclosure include methods and compositions for functionalizing molecules, such as oligonucleotides, with functional groups, including polyhistidine tags useful in affinity methods. Some embodiments include methods for modifying and purifying complex mixtures of molecules by exchange of functional tags.

Non-ionic water-soluble cellulose ethers modified with 3-azido-2-hydroxypropyl groups bound via an ether link are provided having a molar degree of substitution MSAHP in the range from 0.001 to 0.50. Exemplary cellulose ethers are alkyl celluloses, including methyl, hydroxyalkyl (e.g. hydroxyethyl or hydroxypropyl) or alkylhydroxyalkyl cellulose (e.g. methylhydroxyethyl). Reaction products with alkyne compounds are also provided, resulting in a terminal alkyne group. The reaction of azide with the alkyne proceeds as a 1,3-dipolar cycloaddition reaction, advantageously with Cu(I) or ruthenium catalysts. A multiplicity of cellulose ethers can be obtained from the conversion reaction. Variations in the macroscopic properties can be achieved by controlled modification, ranging from increased or reduced viscosity. The reaction, taking place within a few seconds, requires only minimal catalyst. Gel formation is reversible by adjustment of the pH such that a monophasic system (high-viscous fluid) arises again from a biphasic system (gel+low-viscous water phase).

A polyimide demonstrates low coefficient of hygroscopic expansion and low water absorption coefficient when used as an insulation film. The polyimide is derived from a tetracarboxylic acid dianhydride containing ester group expressed by the general formula below, and a polyester imide precursor: wherein R is independent and represents a straight or branched-chain alkyl group with 1 to 6 carbon atoms or straight or branched-chain alkoxyl group with 1 to 6 carbon atoms, n is an integer of 0 to 4, and m is an integer of 2 to 4, but wherein, if m =2, n is an integer of 1 to 4.

An object of the present invention is to improve the stability of an ethylenically unsaturated compound having an isocyanate group in the molecule by preventing a polymerization of the ethylenically unsaturated compound. The present invention relates to a stabilizing composition for an isocyanate group-containing ethylenically unsaturated compound, comprising: an isocyanate group-containing ethylenically unsaturated compound (A) which comprises one or more isocyanate groups and one or more ethylenically unsaturated groups in the molecule; and a stabilizing agent (B) which is a compound in which at least one of the ethylenically unsaturated groups in the compound (A) is replaced with an alkyl group which may have a substituent.

Provided by the present invention is a method for efficient oxidation of alcohols by using, as a catalyst for dehydrogenation oxidation, a ruthenium complex which can be easily produced and easily handled and is obtainable at a relatively low cost. The invention relates to a method of producing a compound having a carbonyl group by dehydrogenation oxidation of alcohols by using as a catalyst the ruthenium carbonyl complex represented by the following general formula (1) RuXY(CO)(L) (1) (in the general formula (1), X and Y may be the same or different from each other and represent an anionic ligand, and L represents a tridentate aminodiphosphine ligand).

A silane compound having a secondary amino group protected with a specific silyl group is useful as silane coupling agent, resin additive, textile treating agent, surface treating agent, paint additive, and adhesive.

A problem of the present invention is to prevent a base layer beneath the layer to be irradiated with light from deterioration in property and a functional thin film from deterioration in property as the fine patterning of a functional film is performed with light irradiation. Means for solving the problem is a compound obtained by dimerizing with light irradiation a compound (A) containing a group that has photosensitivity and can be photodimerized and a group having lyophilicity and a compound (B) containing a group that has photosensitivity and can be photodimerized and a group having liquid-repellency.

The present invention is directed towards microcapsules, uses and methods of microencapsulation with improved properties regarding agglomeration, bleeding and control of the reaction. The invention is especially suitable for chemical compounds with at least one carboxamide group, preferably for microencapsulation of those compounds wherein the carbonyl group is attached to a nitrogen atom or nitrogenated heterocycle and wherein the microencapsulation reaction may be too vigorous. The microcapsules are characterized by a mixed glycoluril-polyurea polymer wall, wherein the polyurea groups come from a urea-formaldehyde resin and not from isocyanate monomers or prepolymers. The process of making such microcapsules a dispersant in the oil phase of the type of block copolymer of vinylpyrrolidone/vinylalkene and/or vinylpyrrolidone/vinyl acetate and the microencapsulation reaction may be carried out without the presence of any polyamine/polyol acting as a catalyst.

A method includes selecting a subset k of N accessible antennas to use to process a transmission received at the N antennas and sent by a user equipment, and processing the transmission from the user equipment at least by using baseband information from the k antennas. An apparatus includes one or more processors and one or more memories including computer program code. The one or more memories and the computer program code are configured to, with the one or more processors, cause the apparatus to perform at least the following: selecting a subset k of N accessible antennas to use to process a transmission received at the N antennas and sent by a user equipment; and processing the transmission from the user equipment at least by using baseband information from the k antennas. Additional apparatus, computer programs, and computer program products are disclosed.

A system and method can support a flooding mechanism using a multicast group in a middleware machine environment. The middleware machine environment can comprise a gateway instance that includes an external port for receiving one or more data packets from an external network. The middleware machine environment also comprises one or more host servers, each of which is associated with one or more virtual machines that can process the data packets. Furthermore, said host servers can provide virtual interfaces that belong to a virtual hub associated with the gateway instance. At least one said packet is a flooded packet that is specified with an unknown destination address when it is received at the external port. The gateway instance operates to send the flooded packet to the multicast group that operates to forward the flooded packet to one or more said host servers in the multicast group.

In FIG. 2, a diameter Dd of drilling edges of a drill is selected smaller than a valley diameter d1 of a male thread of a tap portion, and an inner diameter D1 of a female thread is defined by the valley diameter d1 of the male thread. Therefore, a predetermined radial gap is formed between the male thread 30 formed by the tap portion and the drill. When a tap with the drill is reversely rotated to be pulled out from the female thread after cutting the female thread, the tap released from the restriction may deflectively displace in the diameter direction upon pulling out the male thread of the tap portion from the female thread. However, the drill hardly contacts with the female thread, so that the occurrence of the defective product due to the contact is suppressed.

The invention relates to indolesulfonyl halogenides which are useful for the protection of organic compounds comprising at least one guanidino moiety and/or at least one amino group. The invention further relates to a process for their preparation and their use as protecting reagents. The invention also relates to the process for the protecting reaction and to the protected compounds thereof.

The present invention provides a phosphate group-containing resin comprising, as polymerized units, a polymerizable unsaturated polyester having at least one phosphate group and/or having at least one phosphoric acid group, a (meth)acrylate based polymerizable monomer, and an alkoxylated (meth)acrylic acid polymerizable monomer; and a use of the phosphate-group containing resin as a treating agent of a metallic pigment or an inorganic pigment, especially used in a water-based coating composition.