text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
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TITLE: Solving inhomogenous wave equation
QUESTION [1 upvotes]: Solve the initial value problem:
$$\begin{cases}
v_{tt} = c^2 v_{xx} + x \sin t \ \ &\text{for} \ \ -\infty < x < \infty, t > 0\\
v(x,0) = v_t(x,0) = 0 \ \ &\text{for} \ \ -\infty < x < \infty
\end{cases}$$
Attempted solution - We have $$\begin{cases}
v... | 29,230 |
\section{Notation-Terminology}
Let $X$ be a scheme of finite type over a field $k$ of characteristic $p>0$.
Let $\mathcal{F}$ be a coherent sheaf on $X$. By $\mathcal{F}^{[n]}$ we denote the double dual $(\mathcal{F}^{\otimes n})^{\ast\ast}$.
$X$ is called a smooth canonically polarized variety if and only if $X$ is... | 68,328 |
TITLE: On what timescale does gravitational wave emission circularise an orbit?
QUESTION [9 upvotes]: Gravitational waves remove both energy and angular momentum from a binary orbit. Both rates are enhanced in non-circular (eccentric) orbits and I presume that (like tidal friction) the net effect will be to circularise... | 72,658 |
\begin{document}
\date{ \ }
\title{Conformal Laplacian and Conical Singularities} \author{Boris
Botvinnik and Serge Preston} \maketitle
\markboth{{\small Conformal Laplacian and
Conical Singularities}}{{\small B. Botvinnik \&
S. Preston, Conformal Laplacian and
Conical Singularities}}
\vspace{-16mm}
\begin{abstract... | 74,280 |
\begin{document}
\title{Independent Sets, Matchings, and Occupancy Fractions}
\author{Ewan Davies}
\author{Matthew Jenssen}
\author{Will Perkins}
\thanks{WP supported in part by EPSRC grant EP/P009913/1.}
\author{Barnaby Roberts}
\address{Department of Mathematics, London School of Economics, London, UK.}
\email{\{e.s.... | 98,668 |
/-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import algebra.category.Module.abelian
import category_theory.preadditive.injective
import ring_theory.ideal.basic
/-!
# Injective modules
## Main definitions
* `modu... | 34,902 |
\begin{document}
\vspace{12pt}
\begin{center}
\begin{LARGE}
{\bf A note on $\mathfrak{gl}_2$-invariant Bethe vectors}
\end{LARGE}
\vspace{40pt}
\begin{large}
{S. Belliard${}^{\#\,\dagger}$ and N.~A.~Slavnov${}^\ddagger$\ \footnote{samuel.belliard@gmail.com, nslavnov@mi.ras.ru}}
\end{large}
\vspace{12mm}
${}... | 211,272 |
Patricia Green and Carolyn Hemming credit their mom for their healthy eating habits. As children growing up in Saskatoon, the two sisters say it wasn’t unusual to come home and find their mom in a yoga pose, with seaweed chips on the counter as an after-school snack. “That was our reality,” says Hemming with.
The learn... | 67,889 |
\begin{document}
\title{Foundations of Real Analysis and Computability Theory in Non-Aristotelian Finitary Logic}
\author{Radhakrishnan Srinivasan\thanks{ISL-Research, IBM India Software Labs, Ozone-1 (Ground Floor), SP Infocity,
Pune-Saswad Road, Fursungi, Pune 412308. E-Mail: sradhakr@in.ibm.com} and
H.~P.~Raghunanda... | 200,964 |
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\begin{document}
\title{Elliptic boundary value problems with Gaussian white noise loads}
\thanks{This work has been funded
by Academy of Finland (application number 250215, Finnish Programme for Centre of Excellence in Research 2012-2017) and European Research Council (ERC advanced grant 267700 - Inverse problems... | 151,802 |
Wait, so you're telling me I not only can take 25% off my purchase from Piperlime but I will also be automatically entered to win a luxe vintage piece?!? I'm in… And so happy I missed Piperlime's sale last week! Here's what's on my Piperlime wish list::
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Changes related to "1989-07-01 Brian Mitchell w tdec 9 Jackie Beard, Ezio Scida Stadium, Crotone, Italy - WBA"
This is a list of changes made recently to pages linked from a specified page (or to members of a specified category). Pages on your watchlist are bold.
No changes during the given period matching these criter... | 56,003 |
TITLE: What is the purpose of the weight function $w(x)$ in a Finite Element Method?
QUESTION [5 upvotes]: I have just started looking into finite element methods.
Suppose we have an equation for the strong
$$L(u) = s$$
Then the integral form of the equation is given by
$$\int_0^1 L(u)w(x) dx = \int_0^1 sw(x)dx$$
an... | 43,197 |
\begin{document}
\title{Zero-sum subsequences in bounded-sum $\{-r,s\}$-sequences}
\author{Alec Sun}
\address{Department of Mathematics, Harvard University}
\email[Alec Sun]{suna@college.harvard.edu}
\maketitle
\begin{abstract}
We study the problem of finding zero-sum blocks in bounded-sum sequences, which was in... | 161,249 |
Rocky Lalvani – Life Beyond Wealth
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THE COLLEGE GAME
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Via ... | 82,314 |
Breastfeeding information meeting.
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This two hour English session will provide insight into the process of giving breastfeeding. Attending creates confidence and is a good preparation for the breastfeeding period. The basics of breastfeeding are covered, with special attention to the role of the father. Of cours... | 352,931 |
TITLE: Show that from a set of all 11 integers one can select six numbers such that $a^2+b^2+c^2=d^2+e^2+f^2\pmod {12} $)
QUESTION [1 upvotes]: I have got an INMO problem(2015), which is as follow:
Show that from any set of $11$ integers one can select six numbers such that $a^2+b^2+c^2\equiv d^2+e^2+f^2\pmod{12} $.
... | 13,252 |
\begin{document}
\title[Six dimensional Lie algebras]{Cohomological properties of unimodular six dimensional solvable Lie algebras}
\author{Maura Macr\`i}
\address{Dipartimento di Matematica G. Peano \\ Universit\`a di Torino\\
Via Carlo Alberto 10\\
10123 Torino\\ Italy} \email{maura.macri@unito.it}
\subjclass[2000... | 178,352 |
In mathematics, Sendov's conjecture, sometimes also called Ilieff's conjecture, concerns the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It is named after Blagovest Sendov.
The conjecture states that for a polynomial
$$
f(z) = (z - r_1)\cdots (z-r_n)... | 132,467 |
\begin{document}
\section{Introduction} \label{sec-intro}
In recent years, it has been realized that a solution to a variety of different
problems in theoretical and mathematical physics --- matrix models,
four-dimensional supersymmetric gauge theory, quantum invariants of knots and 3-manifolds,
and topological str... | 75,679 |
\begin{document}
\title{Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions}
\author{ Milton C. Lopes Filho$^{\lowercase{a}}$, Helena J. Nussenzveig Lopes$^{\lowercase{a}}$, \\ Edriss S. Titi$^b$, Aibin Zang$^{\lowercase{d,a}}$}
\date{}
\maketitle
\begin{ce... | 181,237 |
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TITLE: Proving any odd number is a factor of $2^n -1$ for some $n$
QUESTION [5 upvotes]: I'm struggling with a proof of the following. I feel like it should be a one-liner or something simple but I'm just not grasping the idea:
Suppose that m is an odd natural number. Prove that there is a natural number $n$ such that ... | 125,003 |
TITLE: Is the universe expanding or is it simply the matter within it spreading out further?
QUESTION [3 upvotes]: The way I am thinking about this is thinking of a bomb floating in the middle of a room until it is set off. Once it explodes, the room doesn't expand. Instead the contents of the bomb does.
Is that what u... | 39,053 |
happy birthday to me!
March 27, 2007
.
Curious about the shirt? So was I when I bought it in the Mayan town of Felipe Carrillo Puerto, not knowing anything about Maria Sabina other than she was obviously an important woman... actually she was a shaman!
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Love your blog and your shirt on this picture
gracias :... | 316,421 |
TITLE: Rationality in pencil of projective varieties
QUESTION [3 upvotes]: Let $\pi: \mathcal{X} \to \mathbb{P}^1$ be a pencil of projective $\mathbb{C}$-varieties such that a general fiber is smooth. Let $\mathbf{P}$ be one of the properties: rational, unirational, stably rational. My questions is: is there a property... | 36,188 |
Last Activity: Aug 20, 2014 03:30 PM
About Me
- About Mudbug
- Computer(s)
- 15" MacBook Pro 2.53 C2D | Blackbook 2.0 C2D | 10.6.x | iPhone 3G S⃣
- Biography
- SSI Open Water Instructor
- Location
- North Central Colorado
- Interests
- Scuba Diving, Hiking, Being In the Beautiful Rocky Mountains Daily
- Occupation
- Ma... | 307,141 |
[by Rae Begley]
SOCIAL
Image Credit: Tony Albert. HOME, 2019, Mixed Media, courtesy of the artist and Sullivan and Strumpf
HOME Bushfire Relief Art Auction Fundraiser 12 Feb at NAS
The HOME Bushfire Relief Art Auction Fundraiser has been announced as an independent fundraiser that will include an online opportunity to ... | 205,786 |
Abbey Court
Real Reviews
Real reviews from fellow travellers
These are trusted reviews from guests who have actually stayed here. We hope you find them helpful.
Note: we only give a property a rating once it has received a minimum of 3 reviews.
- “
- “ We thank Carmel & Mattie for their kindness. ”
- 11 May 2016 Anonym... | 333,397 |
TITLE: Why in some textbooks, the range of $\text{ArcCosh}(x)$ is given $[0, \infty)$?
QUESTION [0 upvotes]: I have a simple question. Why in some textbooks, the range of $\text{ArcCosh}(x)$ is reported as $[0, \infty)$? Why do they ignore the negative part?
REPLY [2 votes]: Because of two things:
One:
$\mathrm{arccos... | 194,310 |
Unfortunately, this isn’t a day for fun and games, Aries. hand is ticking away and there are many more adventures in store.
You’ll find little comfort in your emotions today, Taurus. You may want to simply stick to business. Concentrate on getting things done in your regular routine. Create a plan and stick to it. This... | 184,599 |
Day 2: My appetite is not satisfied…
Today was a little more difficult than yesterday to adhere to the $7/day challenge because I felt like I was constantly hungry. Maybe it was because I had a little jog this morning, but 30 minutes after breakfast, I was already thinking about lunch. After lunch, I was looking for sn... | 365,076 |
Rumors of Rain
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Beschreibung
BeschreibungMart. This is Andre Brink's story of a society on the edge of collapse, spurred to profound self realization.
EAN: 9781402211102
ISBN: 1402211104
Untertitel: Sprache: Englisch.
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That Other Blackbird
The colorful Red-winged Blackbirds are gone, but another blackbird species remains. Proof is this female Brewer’s Blackbird, perched on a dry fennel stalk above the blackberry patch at the corner of Marina Boulevard and the Virginia Street extension.
The male Brewer’s are pitch black with iridescen... | 151,659 |
TITLE: Application of power series/ binomial theorem in inverse sampling
QUESTION [1 upvotes]: I have posted this already in other forums. Apologies for cross posting.
In order to establish some properties of inverse sampling, Haldane (1945) uses power series and the binomial theorem I assume. According to the inverse... | 34,568 |
TITLE: Prove $x^n -1 \ge (x-1)^n \ \forall n \in \mathbb{N}\ \land \ \forall x\ \ge 1 $
QUESTION [5 upvotes]: Does my proof make sense?
Problem: prove $x^n -1 \ge (x-1)^n \ \forall n \in \mathbb{N}\ \land \ \forall x\ \ge 1 $
Base step (P(1)):$\ \ \ \ \ \ \ \ x-1 \ge x-1$
Hypotesis (P(n)): $ \ \ \ \ \ x^n -1 \ge (x-... | 38,148 |
Press Release
Non-degree executive education program launched
Eller College of Management offers professional development for business executives
TUCSON, Ariz. – February 28, 2006 – “Another day at the office” and “just business as usual” may be platitudes of the past. 21st century executives who find their 20th centur... | 398,596 |
Buy ado acid dough
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This is such a brilliant illustration. The intricate pattern of the hair contrasts beautifully with the clean lines of the face. It really does deserve being...
I prefer the placement and colour ... | 38,638 |
I.
6 comments:
That was a good tribute to Doug, your friend.
His life had some good elements and some not so good but aren`t all of our lives like that.
It`s too bad he couldn`t have overcome the drug-thing.
He was a good man. That`s how I will remember him.
Love, Ma
I remember that night at McDonalds dude. I don't thi... | 23,708 |
Final Fantasy II came out in 1988. It tends to be classed with SaGa games, mostly because Akitoshi Kawazu is known for creating unusual games. SaGa games tend to have wide open worlds, and Final Fantasy II basically opens the entire world map a short way into the game. SaGa games tend to have customizable characters wi... | 169,376 |
Possible Career Paths With a Doctorate in Psychology
Earning a doctorate in psychology enables you to take on some of the top positions in this field. If you’re interested in a psychology job and are considering going back to school for you doctorate in psychology, here’s what you need to know about you career options ... | 55,784 |
TITLE: Proving if A for all x then B using contrapositive
QUESTION [1 upvotes]: I'm trying to prove a statement of the form $\forall x \, A \implies B$ aka if A is true for all $x$, then B must be true, using proof by contraposition. As far as I know, this involves proving the following statement:
$$\neg B \implies \ne... | 14,906 |
- .
“We are just beginning to learn about the factors, such as pack disruption, that play a role in magnifying the impacts of individual wolf losses on viewability,” Dr. Philip Hooge, the park's assistant superintendent for resources, science, and learning, said when the park released data on the visibility of wolves ... | 292,116 |
Beyonce and JAY-Z Officially Announce ‘On The Run II’ Tour
After Ticketmaster kept "accidentally" posting the tickets online then retracting it, Bey went on Instagram today (March 12) to let the world know that the tour is really happening with her hubby JAY-Z.
No doubt, this is a prime time for the two to embark on an... | 292,841 |
TITLE: Where is the end of universe?
QUESTION [14 upvotes]: In some sense the empty set ($\emptyset$) and the global set of all sets ($G$) are the ends of the universe of mathematical objects. The world which $ZFC$ describes has an end from the bottom and is endless from the top. Even in a straight forward way one can ... | 126,073 |
Ghost of Things Past
38pages onAdd New Page
this wiki
this wiki
PlotEdit
After coming through a violent storm, the Hammersley finds an abandoned catamaran. Mike decides to start a search for anyone who might have gone overboard. They find one man in the water, still alive.
They also end up back at Bright Island, where ... | 238,553 |
Artist: U2
Album: Songs of Experience
Year: 2017
Grade: B-
In Brief: While the message on several songs is more vital and relevant than anything U2’s done in years, and the callbacks to tracks on Songs of Innocence are much appreciated, the music itself feels tired and restrained, even sometimes on the tracks that are ... | 403,141 |
As Jandark pleaded for God’s Kingdom, she knew that her city and Christians in Iraq were at the mercy of radicals who wanted to murder God’s people.
The post Fighting the Gates of Hell: The Hope for Christians in Iraq appeared first on Open Doors USA.
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<BlondieTheStrange... | 162,972 |
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This was listed on eBay by Daniel Caudill (buckhopper) in a lot of several pipes. His photo led me to believe that it was a very light blue, such as the pipe's Horizon Blue. Alas it isn't, so this one becomes a Pipe for Sale. James Thompson likes to have these hard-to-hurt pipes in his tackle box so he bought this one ... | 395,400 |
Well that time is upon us once again, where thousands of networking geeks will flock to one location and partake of endless libations, a steady flow of geek speak, and countless conversations with industry peers. That’s right, it’s time for Cisco Live.
I’ve written about Cisco Live many times on this blog before. In fa... | 407,467 |
in April 1912, en route back to the USA. With him was his French singer-mistress, valet, chauffeur and maid. Florette Guggenheim waited at the White Star shipping line in New York for news, but the men had drowned. The bulk of Benjamin’s estate was left to his two sisters, wife Florette and his three daughters.el (b 1... | 40,901 |
TITLE: How to prove Graph with $n$ vertices has Edge Chromatic Number no more than $n/2$ edges
QUESTION [1 upvotes]: Show that if $G$ is a graph with $n$ vertices, then no more than $n/2$ edges can be colored in the same color, in any edge coloring of $G$.
I know there are optimal cases satisfy the statement, e.g a cir... | 19,967 |
TITLE: On the variance in the Bernoulli scheme
QUESTION [1 upvotes]: I'm trying to solve the following problem.
There are $755$ cards, each of which has a number from $1$ to $755$ (each number occurs exactly once). Of these cards, $20$ pieces are randomly selected and a random value equal to the sum of the numbers wri... | 150,862 |
MADERA, Calif. --Madera police are investigating the city's first homicide of 2014.
It happened at an apartment complex on Knox near American around 11 p.m. Saturday. Police responded to the area for a report of shots fired. When officers arrived, they found a 23-year-old man who was shot to death. His name has not bee... | 402,048 |
TITLE: More intuition in understanding diffusion
QUESTION [4 upvotes]: This is a short conceptual question: (I think I'm confusing some very key concepts, here's an attempt to try and resolve it)
Systems whose dynamics are governed by diffusion, for example a particle in a liquid, are subject to constant random forces... | 105,559 |
Surge in housing starts
Housing minster Brandon Lewis has welcomed figures suggesting that the number of homes being built across England has increased. But the Home Builders Federation (HBF) says the “government must now deliver manifesto pledges to ensure build rates are maintained”.
House Building: March Quarter 201... | 333,868 |
Quote by Newt Scamander.
- Warning, I’m doing that thing again where the need to write pulls me out of my bed (even with freshly laundered sheets) and on to the floor in the office at the back of the house with the glow of my Macbook for company and a beauty salt lamp by my side. (desks have always felt a little too fo... | 156,019 |
Plant leaves turn yellow for a variety of reasons, including a lack of chlorophyll caused by too much or too little water, insufficient sunlight, temperature changes and disease. Plants contain various pigments such as chlorophyll, which produces a green color, and carotene, which produces a yellow color.Continue Readi... | 412,093 |
Radiative Transfer Model Intercomparison Project Data Now Available
The ARM Climate Research Facility Data Archive has published the Radiative Transfer Model Intercomparison Project (RTMIP) data set, compiled by Bill Collins. This data set compares the radiation models embedded in the Atmosphere-Ocean General Circulati... | 285,861 |
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TITLE: What is the most general category in which exist short exact sequences?
QUESTION [10 upvotes]: Let $A,B,C$ be objects, $0$ the final object, and $f:A\to B$ and $g:B\to C$ morphisms in some category.
Consider the sequence:
$$
0 \to A \to B \to C \to 0\;.
$$
I would like to say something analogous to:
$f$ is inj... | 85,739 |
Last fall when french artist JR won the coveted TED prize, we were delighted to see his work pop up all over LA and speculate as to where it would appear next.
One of JR’s signature eye installations near The Standard, Downtown LA
We checked in with him while he was installing a show in Miami for Art Basel and couldn’t... | 396,612 |
TITLE: Statements outside of the Kleene Hierarchy?
QUESTION [2 upvotes]: I take a list of $2*m$ natural numbers {$n_k$}. I encode them in some way together to a single bit sequence. Now I feed this bit sequence to a Turing machine $T$. Call the statement "For all $n_1$, there exists an $n_2$ so that for all $n_3$, ther... | 19,826 |
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TITLE: Contraction of a differential equation and its mapping
QUESTION [0 upvotes]: Consider a differential equation $\frac{dx}{dt}(t) = 2cos(tx^2(t))$ with initial condition x(0) =1. Check that the solutions can be found as fixed points of the map such that
$f(t) : t \in [0,T]) \to ( 1 + \int_0^t 2cos(sf^2(s)) ds : t... | 200,784 |
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South Liverpool commuters are facing rush hour misery after a busy road was closed following a crash this afternoon.
Drivers are experiencing lengthy delays after Merseyside Police were forced to close a section of Smithdown Road, between Gainsborough Road and Wellington Avenue, outside Asda Sefton Park.
Officers origi... | 149,064 |
\begin{document}
\hbox{}
{\parindent=0pt
{\large\bf Action-angle coordinates for time-dependent completely
\\ integrable Hamiltonian systems}
\bigskip
{\sc Giovanni Giachetta\footnote{E-mail address:
giovanni.giachetta@unicam.it}, Luigi
Mangiarotti$\dagger$\footnote{E-mail
address: luigi.mangiarotti@unicam.it} and ... | 194,529 |
\begin{document}
\title{Boundedness of $\bQ$-Fano varieties with degrees and alpha-invariants bounded from below}
\date{\today}
\author{Chen Jiang}
\address{Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan.}
\email{chen.jiang@ipmu.jp}
\thanks{The author was supported by JSPS KAKENHI Gra... | 126,105 |
\begin{document}
\title[Sharp weights in NLS with potential]{Sharp weights in the
Cauchy problem for
nonlinear Schr\"odinger equations with potential}
\author[R. Carles]{R\'emi Carles}
\address{CNRS \& Univ. Montpellier\\Math\'ematiques
\\CC~051\\34095 Montpellier\\ France}
\email{Remi.Carles@math.cnrs.fr}
\be... | 90,189 |
FSU Dedman School of Hospitality receives $1M gift from family of Days Inn founder
The family of the late Cecil B. Day Sr., founder of the Days Inn chain, has donated $1 million to Florida State University’s Dedman School of Hospitality.
The school now will create a speaker series featuring recipients of the annual Cec... | 339,998 |
\begin{document}
\title{The real equiangular tight frames obtained from rank $3$ graphs}
\author[Ei. Bannai]{Eiichi Bannai}
\address{Faculty of Mathematics, Kyushu University (emeritus), Japan}
\email{bannai@math.kyushu-u.ac.jp}
\author[Et. Bannai]{Etsuko Bannai}
\email{et-ban@rc4.so-net.ne.jp}
\author[C.-Y. Lee]{Chin... | 144,949 |
Most people would hide in the closet if they had something to be ashamed of, but power hungry politicians live by a different standard. In the seeking of power it is imperative to toss your conscience out the window. You see this over and over again. Even a criminal conviction has little effect as you can witness from ... | 281,166 |
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TL:DR
- Trey Sermon has suffered a back fracture, two MCL sprains, a complete LCL rupture, and a posterior dislocation of the SC joint since 2015.
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I’d never work with any other actor: Rakesh Roshan on son Hrithik Roshan
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The father-son duo’s recent hit was “Krrish 3“. Rakesh has enjoyed Hrithik’s films outside the family banner.
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4 Free Easy Knitting Patterns for Cold Weather and Valentine’s Day
Valentine’s Day gives you a unique opportunity to not only celebrate a romantic holiday but also to keep your man warm! Knit one or more of these items and your boyfriend or husband will surely know that you treasure your love because you took the time ... | 110,940 |
Who are we?
Hi, my name is Dario and I’m the founder of Sydney Vape Co. I started out with a vision to make delicious e-liquid flavours after being burned by too many premium e-liquids from around the globe tasting lackluster. Over the course of 3 years, I’ve poured countless hours into my passion for creating great ta... | 350,310 |
30 Jul Pigmentation – Frequently Asked Question (FAQ)
1. What is pigmentation?
Pigmentation is the coloring of a person’s skin. When a person is healthy, their skin tone usually looks normal. If you are unwell or there is injury to your skin, it may look darker (hyperpigmentation) or lighter (hypopigmentation).
When ou... | 230,844 |
The Daily Press is the city of Timmins broadsheet newspaper.
TIMMINS – A delegation of community members from villages in the Cusco Region of Peru were in Timmins last week to find out what it is like living in a community in close proximity to major mining operations.
The six different communities the delegates are ad... | 100,152 |
room full of books house of books libraries 4 beautiful room full of books.
room full of books called beautiful immersive images and old,beautiful room full of books the book lovers bonanza broadcasting crossword clue called,a room full of books quotes bookshelves crossword clue anonymous my name is and,a room full of ... | 337,082 |
Curbside Voting at the Polls may.
The Curbside Oath
The Curbside Official will adminster the following oath before a ballot is issued to the voter. | 157,118 |
Personal and Organizational Creative Development
Embark on an inspirational journey to uncover your creative potential
What do Steve Jobs, Leonardo da Vinci, Rosa Parks and beavers all have in common? While they might seem very different at first glance (some are human and some are, well, beavers!), they all have one v... | 329,399 |
\begin{document}
\maketitle
\begin{abstract}
Intuitively, a {\em tangle} of large order in a graph is a highly-connected part of the graph, and it is known that
if a graph has a tangle of large order then it has a large grid minor. Here we show that
for any $k$, if $G$ has a tangle of large order and $Z$ is a set of ve... | 174,566 |
TITLE: Representation theory/Finitely generated abelian groups
QUESTION [5 upvotes]: This is not homework.
Motivation : I have been reading "Representation and characters of groups" by James & Liebeck, and in chapter 9 they introduce Schur's Lemma, which states that for a finite group $G$, any $\mathbb CG$-homomorphis... | 205,127 |
My 2 yo dd (the one rolling and tumbling in my siggy :) ) has been diagnosed with a few things thus far: hearing impaired, developmentally delayed, celiac disease, and possible down syndrome (no insurance no even medicaid... long story) Ok, so what I want to know is what you think of this:
The blood test (i'm not sure ... | 47,433 |
Today,dated 31st May,2015 was our first class after the earthquake of 25th April,2015 was resumed according to the Government Of Nepal.I was very excited because my classes were resumed after a long break and was excited to meet my friends and teachers and wanted to know about their experience of earthquake.
All the st... | 213,895 |
TITLE: Is there an upper bound and a lower bound on the contribution to the genus, for a singularity of codimension k?
QUESTION [3 upvotes]: To make my question precise, suppose you have a complex curve locally given by
$$f(x,y) =0 $$
and $f$ has singularity of type $\chi_k$ at the origin. The codimension of
this s... | 72,408 |
TITLE: Donut conditional probability conundrum
QUESTION [0 upvotes]: I was solving the following problem:
There are three plain and four glazed donuts in a box; if two donuts are randomly eaten, what is the probability of randomly selecting a glazed donut if you know at least one of the eaten donuts was glazed?
I ass... | 15,692 |
TITLE: Prove combinatorics problem $\sum_{k=0}^n {2k \choose k}{2n-2k \choose n-k}=4^n$ using generating functions
QUESTION [3 upvotes]: We need to prove for homework using the generating function method that
$$c_n:=\sum_{k=0}^n {2k \choose k}{2n-2k \choose n-k}=4^n$$
I figured out we can start with function
$$f(x)=\su... | 211,445 |
TITLE: Necessary and sufficient conditions for $\sum_{k=1}^{k_n}X_{nk} \stackrel{P}\to \gamma$ and $\max P(|X_{nk}|\ge \epsilon) \to 0$
QUESTION [2 upvotes]: There is a series of independent random variables $\{X_{nk};k=1,2,\cdots,k_n,n=1,2,\cdots\}$.
I need proof $\sum_{k=1}^{k_n}X_{nk} \stackrel{P}\to \gamma$ and $\u... | 210,856 |
Guest Post
Guest posting-blogging is an effective and powerful way for building high quality backlinks and increase quality realationship with audience. Guest posting on high authority sites and platforms helps to increase brand value and increase quality traffic to your blog or website.Content format for guest posting... | 307,946 |
He’s got 99 problems, and one of them is he’s voided his warranty on his Maybach.
I really, really like the grey album, when Danger Mouse got his hands on the Black Album he made it the album it should be. EMI are muppets, Mr Z and even Paul (never trust a one legged woman) McCartney were OK with it. While my guitar ge... | 17,822 |
I did have a wonderful get-away - thanks almost entirely to my
dear friend LM and her fabulous 3 yr old son. They made me
feel so welcome in their home! It was really lovely. Here they
feel so welcome in their home! It was really lovely. Here they
are having dinner with me right before they dropped
me off at the airpor... | 159,039 |
…well, not just Safari…
(1)
First, how an unfortunate combination of CSS and HTML – the Safari Reaper attack – can crash iOS and/or macOS.
- Bleeping Computer: New CSS Attack Restarts an iPhone or Freezes a Mac – “A new attack has been discovered that will cause iOS to restart or respring and macOS to freeze simply by ... | 389,145 |
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