text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
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A plea to readers for ways to use a great harvest of pears this year had some interesting replies.
Remember my dwarf pear tree? The one laden with so many pears the branches drooped? Well last week, a branch broke off it was so heavy with pears.
Nancy Rauber is having the same experience. She is one of several readers ... | 277,406 |
TITLE: Measurability of diagonal partitions
QUESTION [0 upvotes]: Let $(\Omega,\mathcal{F})$ be a measure space and $\Pi$ a partition of $\Omega$. Let $\Pi(\omega)$ denote the partition element containing $\omega$. I want to know when is the set $\bigcup_{\omega\in\Omega}\Pi(\omega)\times\Pi(\omega)$ measurable with re... | 101,363 |
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Some Things Never Grow Old: Introducing Our Video Series on Connected Aging
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\begin{document}
\begin{abstract} For each positive integer $n$, let $\mathfrak{s}_n=\mathfrak{gl}_n\ltimes \mathbb{C}^n$.
We show that $U(\mathfrak{s}_{n})_{X_{n}}\cong \mathcal{D}_{n}\otimes U(\mathfrak{s}_{n-1})$ for any $n\in\mathbb{Z}_{\geq 2}$, where $U(\mathfrak{s}_{n})_{X_{n}}$ is the
localization of $U(\... | 151,092 |
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TITLE: Get diagonal from Quadrilateral described by vectors
QUESTION [4 upvotes]: I have the following problem:
in 2D space.
I have quadrilateral which have 2 of angles = 90 degree
And 2 non unit vectors h1 and h2. (Have length and direction)
We, also, have point P where h2 and diag begins.
I need to find diagonal v... | 195,573 |
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\section{Examples}
\label{generalExm}
Below we demonstrate the wide applicability of our theory. We begin with condition \ref{a} of \thmref{thm:Main} that provides the broadest coverage and then also provide examples for the others cases.
\subsection{{\bf Examples Satisfying Condition \ref{a} of \thmref{thm:Main}}}
... | 13,551 |
\begin{document}
\title{Coverings and crossed modules of topological groups with operations}
\author[a]{Osman Mucuk\thanks{E-mail : mucuk@erciyes.edu.tr}}
\author[b]{Tunçar Þahan\thanks{E-mail : tuncarsahan@aksaray.edu.tr}}
\affil[a]{\small{Department of Mathematics, Erciyes University, Kayseri, TURKEY}}
\affil[b]{\sm... | 118,424 |
TITLE: If $17! = 355687\underline{ab}8096000$. Then value of $(a,b)$ is
QUESTION [13 upvotes]: If $17! = 355687\underline{ab}8096000$, what is the value of $(a,b)$?
If $34! = 295232799\underline{cd}9604140847618609643\underline{ab}0000000$, what is the value of $(a,b,c,d)$?
My Attempt:
We know that
$$
17! = 1\times 2... | 93,893 |
Report Forum Post
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With all the snow we got at the coast, my son-in-law Josh built an igloo with the help of his sons Damon and Dylan. Josh and Damon spent hours creating it. We've all had some fun inside of it today. It's the first igloo we've ever seen and I think it's terrific!
My grandsons measured the snow on our deck.
They built an... | 59,839 |
There’s a great little survey on the BBC’s health website entitled, “How stressed are you?”
I used to get a lot more stressed than I do now and that’s why this article stood out to me.
My stress would normally manifest itself in frustration then anger. Here’s a few examples of how stressed I used to get.
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\begin{document}
\title{A simple proof for the multivariate Chebyshev inequality}
\author{Jorge Navarro\footnote{Tel/fax numbers: 34 868883508/34 868884182, email address: jorgenav@um.es }\\
Facultad de Matematicas, Universidad de Murcia, 30100 Murcia, Spain.}
\maketitle
\begin{abstract}
In this paper a simple p... | 165,429 |
\begin{document}
\title{Singular coefficients in the $K$-theoretic Farrell-Jones conjecture}
\author{Guillermo Corti\~nas}
\email{gcorti@dm.uba.ar}\urladdr{http://mate.dm.uba.ar/\~{}gcorti}
\author{Emanuel Rodr\'\i guez Cirone}
\email{ercirone@dm.uba.ar}
\address{Dep. Matem\'atica-IMAS, FCEyN-UBA\\ Ciudad Universitaria... | 30,999 |
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Lord Of The Rings by J.R.R.Tolkien: Magic journey in quest of the rings with otherworldly creatures.
The Thorn Birds by Colleen McCullough: Life in the outback and a forbidden romance between a young girl and a priest.
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Oscar PerryFeb 01, 2019
Related Articles:
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TITLE: Automorphism group of a scheme, 2
QUESTION [0 upvotes]: Hi,
I have the following two questions about automorphism groups of schemes.
First of all, let $S$ be a scheme, and $S^c$ its set of closed points. What
is the connection between $Aut(S)$ and $Aut(S^c)$ ?
Secondly, let $S$ be a $\mathbb{Z}$-scheme, and... | 178,768 |
TITLE: If $2^{k} + 1$ is prime, prove that $k$ has no other prime divisors than $2$.
QUESTION [0 upvotes]: I am trying to prove this by contradiction:
Assume $2^{k} + 1$ is prime.
By definition of odd number $2^{k} + 1$ is odd because $2^{k} + 1 = 2\cdot 2^{k-1} + 1$
Then $2^{k} + 1 \pmod{2} \equiv 1 \pmod{2}$
Because... | 174,217 |
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\section{A chronological half 2-Kac--Moody}\label{sec:2action}
We generalize the level 2 cyclotomic odd half 2-Kac--Moody from~\cite{pedrodd} to one that corresponds with the covering TQFT of \cite{putyra14}.
Then, we construct a graded 2-action from it on $\BIMOD_q(H^\bullet, H^\bullet)$ similar the one constructed ... | 31,601 |
\begin{document}
\title{Continuum Cascade Model:
Branching Random Walk for Traveling Wave}
\author{ Yoshiaki Itoh \footnote {Institute of Statistical Mathematics,
10-3 Midori-cho, Tachikawa, Tokyo, 190-8562 Japan, Email:
itoh@ism.ac.jp} \\{\small The Institute of Statistical Mathematics and }\\{\small t... | 91,532 |
\section{Advanced topics} \label{sec:adv-topics}
In this section, we recommend a few books on tensor categories and briefly outline a few advanced topics on the interaction between the physics of topological orders and the category theory. We also provide some references so that intrigued readers can explore these to... | 151,028 |
Molybdenum disulfide memristors; neural network chip for mobile; nanoscale materials for the IoT.
Molybdenum disulfide memristors
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TITLE: differential equation for a subspace (Linear & vector Calculus)
QUESTION [2 upvotes]: I can't seem to work out this question because it's so weird
The set F of all function from R to R is a vector space
given the diffential equation f"(x)+3f'(x)+x^2 f(x) = sin(x) is a subspace of F? Justify your answer
I know th... | 160,979 |
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TITLE: Compact subspace of $\mathbb{R}$ with lower limit topology must be countable.
QUESTION [2 upvotes]: Any compact subset of $\mathbb{R}_{l} $ must be a countable set.
Consider the open cover $\{[n,n+1): n \in \Bbb Z\}$ of $\Bbb R $ which has no subcover. So $\Bbb R $ is not compact with respect to lower limit (... | 56,082 |
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TITLE: How to show $X$ is Lindelöf in its compactification?
QUESTION [3 upvotes]: Let $Z$ be any Hausdorff compactification of $X$, each point $z$ of $Z\setminus X$ has a closed $G_\delta$-set $F$ such that $z \in F$ and $F\cap X=\emptyset$. How to show $X$ is Lindelöf?
And if $X$ is Lindelöf, then for each point $z$ ... | 95,641 |
TITLE: How can I find the probability of $n$ customers waiting in a queue?
QUESTION [0 upvotes]: I'm trying to find the probability of $n$ customers in a queue of a $M/M/1$ model. I only have the formula for $n$ customers in the system that includes queue and service. The formula is
$$P_n=\left(1-\frac{\lambda}{\mu}\ri... | 151,268 |
/-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johan Commelin
-/
import algebra.category.Module.monoidal
import category_theory.monoidal.functorial
import category_theory.monoidal.types
import linear_algebra.direct_... | 84,277 |
Let's copy it right
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to expand on Washington State University's Copyright Office's copyright guidanc... | 90,828 |
TITLE: Proof that a Hermitian matrix $A=cI$
QUESTION [1 upvotes]: The problems asks that one prove if the eigenvalues of a Hermitian or skew-Hermitian matrix $A$ are all equal to $c$, then $A=cI$.
I came up with a proof but I'm not sure it's logically valid, and even if it is, probably not the best way of tackling the ... | 17,394 |
TITLE: How to prove that for index $i$ all the following $n$ sums are negative?
QUESTION [0 upvotes]: Given are $n$ real numbers $x(1), x(2), ..., x(n)$. Some of them are negative, some may be positive. The total sum is negative. Prove the following statement:
There exists some index $i$ such that all the following $n$... | 5,685 |
\begin{document}
\title[Penrose inequality with charged matter]{On the charged Riemannian Penrose inequality with charged matter}
\author[McCormick]{Stephen McCormick}
\address{Matematiska institutionen\\ Uppsala universitet\\ 751 06 Uppsala\\ Sweden}
\email{stephen.mccormick@math.uu.se}
\maketitle
\... | 120,541 |
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TITLE: Does Lackenby's polynomial bound on knot moves imply polynomial mixing in "Quantum Money From Knots?"
QUESTION [14 upvotes]: In the 2010 paper Quantum Money from Knots Farhi, Gosset, Hassidim, Lutomirski, and Shor give a doubly stochastic Markov chain acting on grid diagrams. Transitions in the Markov chain are ... | 17,465 |
TITLE: Question on Fundamental Theorem of Calculus
QUESTION [3 upvotes]: In my answer to this question (When we evaluate an indefinite integral of one variable, what area does this yield?) I wrote the following:
Now, if we divide both sides by $h$ we obtain the following:
$$\lim_{h\to0}\frac{F(x+h)-F(x)}{h}=\lim_{h\to... | 183,604 |
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TITLE: Evaluate the Legendre symbol $(\frac{14}{p})$ for $p > 2$.
QUESTION [0 upvotes]: Let $p > 2$. I try to compute the Legendre symbol $\left(\frac{14}{p}\right)$, but I have some difficulties. Here is my attempt so far:
$$\left(\frac{14}{p}\right) = \left(\frac{2}{p}\right)\left(\frac{7}{p}\right).$$
$$\left(\frac{... | 58,580 |
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Play It Forward: George Hill becomes Milwaukee's mentor
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The man Hill calls his godfather changed his life forever.
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TITLE: Is the number of ways to express a number as sum of two coprime squares same as number of solution of $x^2+1\equiv0\pmod n$
QUESTION [3 upvotes]: The number of representations of $n$ by sum of 2 squares is known as sum of square function $r_2 (n)$. It is known that if prime factorization of $n$ is given as
$$2^{... | 10,759 |
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\begin{document}
\begin{abstract}A characterization of the space of
symmetric Laurent polynomials of type $(BC)_n$ which vanish
on a certain set of submanifolds is given by using the
Koornwinder-Macdonald polynomials. A similar characterization was
given previously for symmetric polynomials of type $A_n$
by using the ... | 73,749 |
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Commission Européenne
-
IP/08/260
19/02/2008
Autres langues disponibles:
DE
IP/08/260
Brussels, 19 February 2008
Competition Commissioner Neelie Kroes said: "The merging parties have offered
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TITLE: Second order condition for convexity
QUESTION [0 upvotes]: In Pr. Boyd's optimisation book, it is stated that for twice differentiable function $f$ with convex domain, $f$ is convex if and only if $\nabla^2f(x) \succcurlyeq 0$ for all $x \in dom f$. The point here is that the Hessian matrix should be positive se... | 144,542 |
T test results were released publicly on Tuesday, when it became clear that the Tisbury School not only had made Adequate Yearly Progress, the federal benchmark of constant improvement. Because of the school’s success in closing the achievement gap — that is, improving things for the lowest-performing students — Tisbur... | 235,384 |
TITLE: Is there a general way to convert a continued fraction into a recursive formula?
QUESTION [5 upvotes]: I was looking into this continued fraction:
$$e = 3 - \frac{1}{4 - \frac{2}{5 - \frac{3}{6 -...}}}$$
I was able to duplicate the approximations of the continued fraction with this recursive formula:
$$f(n+1) ... | 44,044 |
TITLE: Gradual monotonic morphing between two natural numbers
QUESTION [2 upvotes]: Let $a < b$ be two natural numbers. I will use these as an example:
\begin{align*}
a & = 2^5 \cdot 3^2 \cdot 5^2 = 7200\\\
b & = 2^3 \cdot 3^5 \cdot 7^1 = 13608
\end{align*}
I seek to "morph" $a$ to $b$ via $a{=}n_0,n_1,n_2,\ldots,n_k{=... | 55,313 |
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Join the community to find out what other Atlassian users are discussing, debating and creating.
Hello Atlassians,
I've been missing the old 100/300/500 (I hope that's right) image size presets.
Instead I now have different values (it looks like somehow relative to the original size).
alwa... | 161,568 |
These are some really intriguing movies (Netflix, etc.) – they’re finally talking about data, data use, data ownership, privacy, customization (sort of) and all sorts of things that have significant implications on our career ethics and responsibilities.
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TITLE: Smooth fibration is a submersion
QUESTION [6 upvotes]: in Wikipedia and the following questions: [1], [2] or their respective answers or comments it is said that a smooth fibration is a submersion. To make clear what I mean:
Definition. A smooth map $p\colon E \to B$ is said to satisfy the homotopy lifting prope... | 76,469 |
(IPS) – A little village nestled in a valley between several hills in the Bethlehem governorate is today fighting for survival. All around Wadi Fuqin village on the outskirts of Bethlehem in the southern West Bank is the expanding and illegal Israeli settlement Beitar Illit, home to 35,000 settlers. The settlement is s... | 235,453 |
\begin{document}
\author[Christoph Koutschan]{Christoph Koutschan\,$^1$}
\address{Christoph Koutschan, Mathematics Department, Tulane University, New Orleans, LA, USA.}
\email{ckoutsch@risc.uni-linz.ac.at}
\thanks{$^1$ Supported by NFS-DMS 0070567 as a postdoctoral fellow and by the Austrian Science Foundation (F... | 214,280 |
TITLE: Vector Expression for lines of intersection for degenerate conic
QUESTION [1 upvotes]: I specify a cone with a position vector $\mathbf{Q}_0$ as its vertex, a unit vector $\hat{\mathbf{q}}$ for its axis of rotation, with known angle $\alpha$ as the angle between any generator $\hat{\mathbf{d}}$ on the cone and i... | 182,448 |
I have launched some successful websites over the last few months and here is my recipe for link building success. First off I always make sure to have some content on my new sites before I start link building. Even though most folks understand that a new site needs time to build up quality content, it is always nice f... | 292,184 |
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\begin{document}
\maketitle
\begin{abstract}
The circular restricted three body problem, which considers the dynamics of an infinitesimal particle in the presence of the gravitational interaction with two massive bodies moving on circular orbits about their common center of mass, is a very useful model for investigati... | 10,928 |
One […]
Experiences
5 Annual Events You Don’t Want to Miss in North America
Travelling […]
3 Dream Holidays for Wine Lovers, […]
Incredible castles you can spot on a Rhine River cruise
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What is a river cruise and what can you expect on one?
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6 New Year’s resolutions every traveller can relate to
6 New Y... | 129,927 |
\begin{document}
\title{Some game theoretic marketing attribution models
\thanks{This research has been supported by I+D+i research project MTM2015-70550-P from the Government of Spain.}
}
\maketitle
\vspace*{-1cm} {\baselineskip .2in
\begin{center}
{\small
\begin{tabular}{l}
\bf Elisenda Molina
\\ Departamento de... | 132,023 |
Queenstown, New Zealand (30 October 2017) Queenstown is hosting nearly 50 key trade and conference and incentive buyers during Destination Queenstown’s inaugural Queenstown Week event, starting today.
Queenstown Week is a new and innovative business-to-business event that is being held this year in place of the Austral... | 113,180 |
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GABRIEL FIGUEROA FILM FUND
call for entries for PROJECTS IN DEVELOPMENT STAGE
Feature-length films produced or co-produced by Mexico, USA or Canada grants .
SUBMISSION TIMELINES
- The current submission call will be open from May 14th, 2018 at 16:00 hrs. through August 17th, 2018 before 18:00 hrs.
- The 10 projects in ... | 92,271 |
TITLE: Tensor product of two elements, one them is zero
QUESTION [0 upvotes]: Let V and W be two vector spaces over $\mathbb{R}$. I've see this property somewhere but I'm not sure how to prove it.
Let $ x \in V $ and $y \in W$, such that $x=0 $ or $y=0, $
then $x \otimes y = 0 \in V \otimes W$.
Help please!
REPLY [1... | 71,582 |
SAN MARCOS, Calif. (Oct. 15,.
For more information on Pima Medical Institute go to pmi.edu
About Pima Medical Institute
Pima Medical Institute is an employee-owned, private, accredited school dedicated to providing students classroom studies paired with real-world training at medical facilities. Established in 1972, Pi... | 312,156 |
- Holland Codes,
- Careers,
- Assessments,
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- Internet resources
Steps in Completing the Career Planning and Exploration Process
Step One: Preliminary Assessment
- Types of Career Planning Resources
- Assessments
- Books
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- Manuals
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- Internet Career Exploration Resource... | 4,054 |
Sky Lounge – Cafe, Bar & Grill
This is a result of a project managed by eager students of a hotel school in town, STANDARD Hotel & Language Training Institute. They claim to provide every kind of source of entertainment in here such as Friends, Ambiance, View, Live Music, Movies, Sports, WI/FI, Late Night, Steaks, Burg... | 271,287 |
In this video I take a look at mini ball head tripod mounts. You use a mini ball head to attach a camera to a tripod, monopod, or what ever type of DIY camera mount you have. Recently I have been doing a lot of smartphone photography and video, and want to be able to mount my camera, and mini balls heads are great for ... | 32,445 |
The Minister, who is due to address the national meeting of the Papurau Bro at the Eisteddfod on Monday (6th August), has called on Papurau Bro to utilise the latest technologies to capture new audiences and connect with the younger generation.
Leighton Andrews said:
“We want people to see that Welsh is a modern and li... | 58,564 |
TITLE: How to turn recursion sum formula into an integral?
QUESTION [0 upvotes]: I have a formula that looks a lot like integral:
$$
m(t) = \lim_{\Delta t \to 0} \sum_{i \in \{\Delta t, 2\Delta t, ... ,t\} } ( m (i - \Delta t) + v(i)) \, \Delta t
$$
where $v(t) = \text{const}$, $m(0)$ is given.
Yet I wonder - how t... | 44,343 |
Introduction
There is no doubting the fact that AMD Ryzen laptops are becoming increasingly popular than ever before. This is because of their impressive features which enable users to carry out various activities without any problem. As compared to Intel computers, they seem to be winning the hearts of people from var... | 321,091 |
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