The need for help in the Florida Panhandle after Hurricane Michael hasn't gone away and these relief organizations are keeping residents and helpers fed.

A coalition of plaintiffs hit the FDA with a lawsuit saying it did not consider environmental risks when it approved the genetically modified fish.

Hiscox Action Group and the Night Time Industries Association, representing more than 500 businesses, have agreed to work together to challenge Hiscox’s business interruption stance.

The directory aims to gives grassroots organizations awareness and more exposure of issues involving local or state legislation aimed at infringing their 2nd Amendment rights.

Starting in Colorado and Hawaii, Mutual Rescue launched film festivals, now seeks additional partnerships

Organizations Join Forces to educate students and travelers in reforestation and environmental awareness projects.

Volunteers Provide Computer Training, Job Search Skills

Tom Davenport, Babson College professor and coauthor of "Judgment Calls: Twelve Stories of Big Decisions and the Teams That Got Them Right."

The Chief Executive Officer of the National Electrical Contractors Association, David Long, issued a statement on being named to the Great American Economic Revival Industry Group for Construction/Labor/Workforce.

Figures released this week by the National Health Service England show that of the 13,918 patients who died in hospitals till April 17 after testing positive for the novel coronavirus, 16.2 per cent were of black, Asian and minority ethnic (BAME) background and those identifying with Indian ethnicity made up 3 per cent of that.

The National Park Service (NPS) will begin issuing Special Use Permits on an interim basis for organized, non-commercial rim-to-rim and extended day hiking and running in the inner canyon of Grand Canyon National Park. The inner canyon is defined as the area below Tonto Platform (Tipoff and Indian Garden) from the South Rim and below Manzanita Resthouse (Pumphouse Residence) from the North Rim. Permits will be issued to groups with activities planned for after September 15, 2014. https://www.nps.gov/grca/learn/news/interim-permits-r2r.htm

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...

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 $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$.

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.

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.

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.

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.

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 application relates to novel monomers comprising polycarbosiloxane monomers useful in certain specific embodiments in the manufacture of devices. More particularly, the present application relates to certain ethylenically unsaturated free radical polymerizable monomers comprising polycarbosiloxane monomers. Even more particularly, the present application pertains to monomers comprising polycarbosiloxane monomers which further comprise at least two ethylenically unsaturated free radical polymerizable groups.

An ion conducting membrane for fuel cells involves coupling a compound having a sulfonic acid group with a polymeric backbone. Each of the compounds having a sulfonic acid group and the polymeric backbone are first functionalized with a halogen.

An improved polymerization and process method allows the production of special nitrile rubbers which are characterized by a specific anion content and an excellent storage stability and allow a particularly good vulcanization rate and moreover result in vulcanized materials that have advantageous properties, especially with regard to the contact with metal components of molded parts based on said vulcanized materials.

A method by which a halogen atom of a halogen compound can be efficiently replaced with an electrophilic group. Also provided are: a reagent for converting a functional group through a halogen-metal exchange reaction, characterized by comprising either a mixture of a magnesium compound represented by the formula R1—Mg—X (I) (wherein R1 represents a halogen atom or an optionally substituted hydrocarbon residue; and X1 represents a halogen atom) and an organolithium compound represented by the formula R2—Li (II)(wherein R2 represents an optionally substituted hydrocarbon residue) or a product of the reaction of the magnesium compound with the organolithium compound; and a process for producing with the reagent a compound in which a halogen atom of a halogen compound has been replaced with an electrophilic group.

An improved organic photoconductor drum having a protective overcoat layer and method to make the same is provided. The protective overcoat layer is prepared from a curable composition including a crosslinkable hole transport molecule containing four radical polymerizable functional groups in combination with a crosslinkable acrylate having at least 6 functional groups.

A method of detecting a cancer progression observation index gene group, comprising: a) preparing a plurality of AKR/J mice in which an oncogene is inserted into a thymocyte; b) dividing the AKR/J mice into three groups, raising the first group of the AKR/J mice after high-dose ionizing radiation of 0.8 Gy/min, raising the second group of the AKR/J mice after low-dose ionizing radiation of 0.7 mGy/hr, and raising the third group of the AKR/J mice in a general environment; c) obtaining a thymus of a dead mouse of the first or second group of the AKR/J mice throughout the b) operation and diagnosing cancer when a weight of the thymus is increased to twice or more than before radiation; d) extracting thymuses by sacrificing the first to third groups of the AKR/J mice at the time at which the third group of the AKR/J mice initially die; and e) selecting only a thymus having no change in weight compared to the organs of the same-aged non-irradiated AKR/J mice from the organs extracted in d) and detecting a gene of the organ whose weight is increased or decreased by a factor of two or more through gene analysis.

Funding available to help local residents.

Birmingham St Mary’s Hospice has unveiled its latest venture aimed at supporting the services on which so many rely.

Joint Lib Dem and Conservative call for demolition plans to be scrapped.

West Midlands charities receive donations from Mondelēz International.

There is an observation in psychology that looks at how people behave when they have not lived up to the expectations they set for themselves; The What The Hell Effect. In this episode of Two Guys on Your Head, Dr. Art Markman, and Dr. Bob Duke discussion about TWTHE and how it relates to identity,...

The coronavirus-shutdown crisis has ripped through Seattle’s arts and culture scene, guillotining income for individual artists and organizations while they scramble to cut expenses.

The coronavirus-shutdown crisis has ripped through Seattle’s arts and culture scene, guillotining income for individual artists and organizations while they scramble to cut expenses.

Gov. Jay Inslee has banned event gatherings of more than 250 people in King, Snohomish and Pierce counties. King and Snohomish counties went further, prohibiting events under 250 people, unless they meet certain public health guidelines. Here's how arts and culture groups are responding.

Even before the ban, concern about the novel coronavirus fed into steep drops in ticket sales and canceled fundraising galas, school performances and corporate gigs. Now, arts organizations are trying to assess the potential damage of the new restrictions.

The coronavirus-shutdown crisis has ripped through Seattle’s arts and culture scene, guillotining income for individual artists and organizations while they scramble to cut expenses.