Let $\mathcal{X}$ be a finite-dimensional complex vector space and let k be a positive integer. An explicit formula for the k-reflexivity defect of the image of a generalized derivation on $L(\mathcal{X})$, the space of all linear transformations on...
May 5, 2018 · In many countries, the digits on the telephone keypad also have letters assigned. By replacing the digits of a telephone number with the corresponding letters, it is sometimes possible to …
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Let $\ell$ be a prime and let $q$ be a prime power not divisible by $\ell$. Put $G=\mathrm{GL}_n(\mathrm{F}_q)$ and fix an irreducible cuspidal representation, $\barπ$, of $G$ over a sufficiently large finite field, $k$, of characteristic $\ell$ suc...
Mar 18, 2025 · I see you're dealing with a black line appearing on your prints—that can be frustrating! Let’s go step by step to fix this. A few things could be causing the issue, so let's try these …
Let $(X_t,t\geq 0)$ be a random walk on $\mathbb{Z}^d$. Let $ l_t(x)= \int_0^t δ_x(X_s)ds$ be the local time at site $x$ and $ I_t= \sum\limits_{x\in\mathbb{Z}^d} l_t(x)^p $ the p-fold self-intersection local time (SILT). Becker and König have rece...
Let $(X_t, t \geq 0)$ be an $α$-stable random walk with values in $\Z^d$. Let $l_t(x) = \int_0^t δ_x(X_s) ds$ be its local time. For $p>1$, not necessarily integer, $I_t = \sum_x l_t^p(x)$ is the so-called $p$-fold self- intersection local time of...
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Let $X$ denotes a discrete linearly ordered Abelian group, and let $X_+$ be the positive cone in $X$. In this note we compute the Fredholm index and study spectral properties of Wiener-Hopf operators $W_kg=1_{X_+}(k\ast g)$, $k\in l_2(X_+)$ in the sp...
Watt obtained a patent for letter copying presses, which James Watt & Co. produced beginning in that year. Letter copying presses were used by the early
An FN lattice $F$ is a simple, infinite, semidistributive lattice. Its existence was recently proved by R. Freese and J.\,B. Nation. Let $\mathsf{B}_n$ denote the Boolean lattice with $n$ atoms. For a lattice $K$, let $K^+$ denote $K$ with a new unit...
Let $z\ne \pm1,w^2$ be a fixed integer, and let $f(t)\ne g(t)^2$ be a fixed polynomial over the integers. It is shown that the subset of primes $p\geq 2$ such that $z$ and $f(z)$ is a pair of simultaneous primitive roots modulo $p$ has nonzero densit...
Parents’ is used in the plural form for both parents, so there is an apostrophe after the letter -s, as in parents’ house. This is because the word is first pluralized to parents with the addition of the letter -s …
Apr 4, 2022 · How should you start a letter when addressing an entire family? Dear The Jones Family, or Dear Jones Family, I was discussing this with my wife and I preferred the former while my wife …
D, d (di) n., pl. Ds D's, ds d's. 1. the fourth letter of the English alphabet, a consonant. 2. any spoken sound represented by this letter.
d, letter that has retained the fourth place in the alphabet from the earliest point at which it appears in history. It corresponds to Semitic daleth and Greek delta (Δ). The form is thought to …
Mar 17, 2019 · Which one is correct to use she hasn't received the letter. she haven't received the letter.
12 hours ago · Investing.com -- The U.S. Food and Drug Administration issued 30 warning letters to telehealth companies on Tuesday for making false or misleading claims about compounded GLP-1 …
1 day ago · The FDA issued 30 warning letters to telehealth firms for false or misleading claims about compounded GLP-1 products, citing illegal marketing practices.
12 hours ago · The FDA has issued 30 warning letters to telehealth companies for making false or misleading claims about compounded GLP-1 products on their websites. The letters cite violations …