text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
|---|---|
Choose Filter > Sharpen > Smart Sharpen. Sets the amount of sharpening. A higher value increases the contrast between edge pixels, giving the appearance of greater sharpness.
How do I make an image sharper do I Sharpen a blurry image in Photoshop?
Open the image. Select Filter > Sharpen > Shake Reduction. Photoshop aut... | 5,541 |
I’m A Fool For Trying To Change A Ho3 Into A House Wife – BBNaija Ike Onyema
Reality star and musician, Ike Onyema has taken a swipe at a woman he was in a relationship with.
The Big Brother Naija reality star, who dated co-star Mercy Eke in the Big Brother Naija house and had a break-out reality show with her after th... | 393,705 |
Bitcoin mining with home pc
If you recently installed or updated uTorrent on your PC, you may have have picked up an unwanted passenger: a bitcoin miner called Epic Scale.
Top Bitcoin Mining Hardware - Discovering the Best BitcoinYou need a special custom ASIC hardware to do mining, and even then the main cost is.
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NIGHT TRAIN
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We've had bands on at our pub for over 5 years now but we can honestly say they are one of the top acts around. Most bands are content merely to play covers, but these guys are true musicians. Amazing how they take the crowd with the... | 371,880 |
Created by Exyconn | 4 min read
UN Sustainable Development Goals (SDGs) came into action from the year 2015, naming it “The Decade of Action”. There were 17 goals adding it to the core of the Agenda 2030: SDGs but here we are going to focus on Goal 9: Industry, Innovation, and Infrastructure. UN Agenda 2030 addresses a... | 88,491 |
- Yes, I said it. This day, the rituals, the costumes, the traditions, the ideas, they all suck.
- Children dressing in costumes and asking for candy from strangers is a cultural norm that is well past its prime. The Great Pumpkin is dead. Let us move on.
- Halloween is really All Hallows Eve, a religious festival that... | 84,118 |
ABO Super Featherweight champion Alberto "El Explosivo" Machado (17-0, 15 KOs) and NABA Super Featherweight champion Carlos "The Solution" Morales (16-1-3, 6 KOs) will both face their toughest challenges to date as they go toe-to-toe for 10 rounds in the main event of the August 18 edition of Golden Boy Boxing on ESPN.... | 269,665 |
TITLE: Integral of Vector Equations of Motion
QUESTION [5 upvotes]: I have a problem in my textbook, it states
"At time t=o, vectors $E=E_o$ and $B=B_o$, where the unit vectors $E_o$ and $B_o$ are fixed and orthogonal. The equations of motion are
$\frac{dE}{dt}=E_o+B\times E_o$
$\frac{dB}{dt}=B_o+E\times B_o$
Find E an... | 145,188 |
What is osteonecrosis of the jaw?
Osteonecrosis of the jaw (ONJ)is a rare condition that involves the loss, or breakdown, of the jaw bone., if possible, invasive dental procedures. No data are available as to whether discontinuation of bisphosphonate therapy reduces the risk of ONJ in patients requiring dental procedur... | 129,417 |
Dear Campaign Supporters:
As you all know, the worldwide Campaign to Stop Killer Coke has been extremely successful on many fronts — thanks to your efforts. But the battle has not yet been won. I am writing to you for help — badly needed financial support for the Campaign working to resolve one of the most tragic labor... | 71,577 |
Modeling frequency variations in ring oscillators with respect to process parameter variations
Date2002-12
Author
Frazier, Nathan
MetadataShow full item record
Abstract
This paper details the process for randomly generating data through PSPICE and statistically evaluating the variation within the results. The example m... | 337,223 |
In order to firmly establish the concept of "life first, safe development", implement the responsibility of enterprise safety production, comprehensively improve the level of safety production management, enhance the safety awareness of all employees, and promote the stable and stable development of JNMPT and various c... | 162,106 |
CPU-Z Reporting Tool
While Computer manufacturers select a memory specification for each model they release, occasionally certain builds within a model line can require a slightly different memory specification. A CPU-Z report will allow our sales team to accurately match the compatible memory for your specific Compute... | 259,018 |
(Ya’at’eeh) (Greetings in the Diné Bizaad language)!
This Gen-I Native Opportunities Weekly (NOW) message shares information about $1,000 Zumper College Scholarship:
Zumper, a national home and a
partment rental search site, is looking for outstanding students who have helped their classmates or community in a tremendo... | 213,609 |
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The Alerus has 18 luxury VIP suites, eight concession stands, two vending stands, 14 ticket windows in three locations and four merchandise stands. There are ... | 406,346 |
January 01, 2010
A recent summit and an upcoming study will help the One Health Commission and other advocates of the one-health concept in developing policies and initiatives to increase collaboration among the fields of human, animal, and ecosystem health.
The One Health Commission held the Nov. 17 One Health Summit ... | 302,101 |
\begin{document}
\title{The $p$-Modular Descent Algebras}
\author{M.D. Atkinson\\S.J. van Willigenburg\\
School of Mathematical and Computational Sciences\\
North Haugh, St Andrews, Fife KY16 9SS, UK\\ \\
G. Pfeiffer\\Department of Mathematics\\University College, Galway, Eire}
\maketitle
\begin{abstract} Solomon's ... | 205,249 |
TITLE: Inconsistencies in Spivak's solution for problem 3.7 of his own *Calculus* and the given definition of the degree of polynomial functions.
QUESTION [1 upvotes]: This is a nitpick but it bothered me enough to post this question. The problem asks you to prove that for any polynomial function $f$ and any number $a$... | 70,803 |
Review: Benefit Moisture Prep Toning Lotion
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Classic shaped sunnies with a matte black fade to tortoise shell. Made from repurposed plastic and espresso stained bamboo temples. Polarized lenses with 100% UV protection.
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\begin{document}
\author{Anar Akhmedov}
\address{Department of Mathematics\\
University of California at Irvine\\
Irvine, CA 92697-3875}
\email{ahmadov@math.gatech.edu}
\date{November 5, 2006}
\subjclass[2000]{Primary 57R55; Secondary 57R17, 57M05}
\begin{abstract} In this article, we present new symplectic 4-mani... | 145,586 |
25 3-Ingredient Simple Cookie Recipes
3 ingredient cookie recipes are one of my favorite quick baking ideas because they are really yummy easy cookies. We love to make homemade cookies together, but baking with kids can get a little chaotic which is why this is our go-to list for choosing the easiest cookie recipes. Ea... | 68,888 |
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Accelerated Growth AB becomes a part of Qgroup
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Stone's decision a benefit for 3rd District
Riverside County Supervisor Jeff Stone has been in the political arena for decades. I believe he’s at the zenith of his career; thus far, his reach has exceeded his grasp when it comes to higher office, largely as the result of some seemingly dumb things he does and says occa... | 18,825 |
Passive versus active
Passive:
Remember that driver functions are not called directly. Instead, Driver Manager functions with the same name are called and then driver functions are called. For example, after SQLExecute is called in the Driver Manager, SQLExecute is called in the driver.
Active:
Remember that applicatio... | 198,303 |
![if gt IE 7]> <![endif]>
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Located in Ashfield (Inner West), Ashfield Manor is close to Italian Forum, Birkenhead Point Outlet Centre, and Royal Prince Alfred Hospital. Also nearby are Sze Yup Temple and University of Sydney.
Property Features.
Guests are served a complimentary breakfast. In addition to a libr... | 378,486 |
TITLE: Are polynomials dense is L2 of the unit disk?
QUESTION [5 upvotes]: Let $D$ be the unit disk in the complex plane, and let $X$ be the subset of $L^2(D)$ consisting of polynomials in the complex variable $z=x+iy$ with complex coefficients. My question is, is $X$ dense in $L^2(D)$?
If not, does anyone know of a f... | 2,106 |
Epic of Serinor: Time of Chaos
Shadow Aerin
Aerin's undead double in the new Serinor
Description:
Bio:
Aerin’s double in the new Serinor fell on much harder times due to the treachery of Butch’s double. Now among the ranks of the shadowkin, Shadow Aerin has been installed as mistress of Hye-Aerinaa on Araline Island. H... | 234,642 |
Heartwarming: A Dirty Job
Inexact title. See the list below. We don't have an article named Heartwarming/ADirtyJob, exactly. We do have:
- Funny/A Dirty Job
- Headscratchers/A Dirty Job
- Literature/A Dirty Job
- Main/A Dirty Job
- TearJerker/A Dirty Job
- YMMV/A Dirty Job
If you meant one of those, just click and go. ... | 222,365 |
TITLE: singluar values unchanged when multiplied with an orthogonal matrix?
QUESTION [2 upvotes]: revisiting
singular values of "rotated" matrix
Maybe I've since forgotten - or maybe I never bothered to ask myself - but
Since $A^T$ has the same singular values as $A$ and $K$ is orthogonal, conclude that [ $A^\... | 23,427 |
TITLE: Kaon oscillations
QUESTION [6 upvotes]: Neutral Kaons CP eigenstates can be built as following:
$$|K_1\rangle=\frac{|K^0\rangle-\bar{|K^0\rangle}}{\sqrt{2}}$$
$$|K_2\rangle=\frac{|K^0\rangle+\bar{|K^0\rangle}}{\sqrt{2}}$$
So that we obtain a CP-even and a CP-odd state:
$$CP|K_1\rangle=|K_1\rangle$$
$$CP|K_2\rang... | 215,485 |
Posted on the 15th December 2015
Our favourite campaigns of 2015
2015 has been another busy year of truly great PR, advertising and social media campaigns. From empowering feminist campaigns that redefined what being a 21st century woman means, to the very clever reason hundreds of signs mysteriously lost their ‘As’, ‘... | 169,858 |
\begin{document}
\date{}
\maketitle
\begin{abstract}
We propose a unified meshless method to solve classical and fractional PDE problems with $(-\Dt)^{\fl{\ap}{2}}$ for $\ap \in (0, 2]$.
The classical ($\ap = 2$) and fractional ($\ap < 2$) Laplacians, one local and the other nonlocal, have distinct properties.
T... | 153,032 |
TITLE: Linear span of general set in topological linear spaces
QUESTION [2 upvotes]: I'm studying Functional Analysis and I'm in doubt with the definition of linear span. The book states that:
Let $\mathscr{L}$ be a topological linear space and let $\mathscr{M}$ be a linear manifold (i.e. a subset which is algebraical... | 218,089 |
TITLE: Measure of intersection of infinitely many events with fixed positive measure
QUESTION [1 upvotes]: Suppose $(\Omega,\mathcal{B},\mu)$ is a probability space (so $\mu:\mathcal{B}\rightarrow[0,1]$).
Suppose we have a countable collection of events $A_k\in \mathcal{B}$ such that for some fixed $\epsilon>0$, $\mu(A... | 23,012 |
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Alamo City Beat
Reporter's Notebook: Why I Shaved Off My Beard For A Story
Feb 26, 2015, 1:44 pm CST
A lesson in keeping competition close: How two ri... | 399,739 |
TITLE: Monoidal structure on simplicial sheaves
QUESTION [6 upvotes]: Let $\mathcal{C}$ be a site and let $sPh(\mathcal{C})_{proj}$ be the category of simplicial presheaves equipped with the projective model structure. This category is a closed monoidal model category (with the ordinary tensor product of functor $-\tim... | 107,798 |
Get DVD Talk Feeds
Movie: Accepted is the story of Bartleby Gaines (Justin Long); a high school senior that engages in various criminal enterprises in order to fund his various monetary needs. As one of the go to guys about town, a hustler in the purest form of the word, he sails through life on a combination of playin... | 283,103 |
According to the Center for Disease Control, heart disease is the leading cause of death for both men and women in the U.S. You’re probably already aware of the most common risk factors like obesity, high blood pressure, and a sedentary lifestyle. But there’s an additional risk factor that might surprise you! Gum disea... | 95,903 |
TITLE: A problem on sums of arctangents of rationals
QUESTION [5 upvotes]: Let $S$ be a set of rational numbers.
For "special" sets $S$, we can ask if $\pi$ can be written as a $\mathbb{Q}$-linear or $\mathbb{Z}$-linear combination of elements from '$\{\tan^{-1}(x): x \in S\}$'.
In particular, let $\hat S$ be the closu... | 90,968 |
TITLE: Eigentensors for Lichnerowicz Laplacian on $\mathbb{CP}^n$
QUESTION [4 upvotes]: Consider the Lichnerowicz Laplacian arising in the study of the stability of Einstein metrics:
$\Delta_L h_{ij} := \nabla^* \nabla h_{ij} + 2 R_{i p j q} h_{pq}$.
I am interested to know, on $\mathbb {CP}^n$, as explicitly as possib... | 188,504 |
\begin{document}
\title[Controllability of random systems]{Controllability of random systems: Universality and minimal controllability}
\author{Sean O'Rourke}
\address{Department of Mathematics, University of Colorado at Boulder, Boulder, CO 80309 }
\email{sean.d.orourke@colorado.edu}
\author{Behrouz Touri}
\address... | 71,815 |
: cde1024, DelPen, meecrofilm, no name, SubtropicalPenguin, Zamboni and 32 guests | 65,885 |
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Why Would You Probate A Will survivor-ship community property with his or her spouse, or in a living trust, those assets won’t need to go through probate. The same is true for assets held in a revocable living trust and accounts for which a payable-on-death beneficiary has been named.. If the total value of the probate... | 390,724 |
TITLE: Algebraic closures and monomorphisms
QUESTION [2 upvotes]: Let $F$ be a field and $f\in F[X]$, an irreducible polynomial over $F$, $C$ an algebraic closure of $F$ and $a,b \in C$ two roots of $f$.
In an exercise I proved the existence of an $F-$monomorphism $\tau :C \longrightarrow C$ such that $\tau (a)=b$.
But... | 111,310 |
thandolwet1
Springs Technical High School
Archiving African Creatives
Homeschool
Locally Grown Bamboo Straws
PlantsnStuff started late 2017.I make and sell bamboo straws. The bamboo is grown and processed in Cape Town which makes it much better for the environment as many straws are imported. I cut, dry, sand and clean... | 184,380 |
Stranglehold26 - Isn't one of the longest and most famous threads on the Atama BJJ forum about how fraud filled Wolfpack BJJ is and how it is a total fucking scam?
I'm your Huckleberry.
Not a bad drive for me, although I really hate that stretch of road coming up 65 just before B | 210,789 |
submitted by zolanih to TooAfraidToAsk [link] [comments]
submitted by leftok to atbitcoin . Blackmail Scam. Someone says they know about an alleged affair, or something else embarrassing to you, and demands payments with Bitcoin or another cryptocurrency in exchange for keeping quiet. This scammers might use threats, i... | 245,711 |
\begin{document}
\title{Geometry of the locus of polynomials of degree $4$ with iterative roots}
\author{Beata Strycharz-Szemberg, Tomasz Szemberg}
\address{\hskip -.43cm Beata Strycharz-Szemberg,
Instytut Matematyki, Politechnika Krakowska, Warszawska 24, PL-31-155 Krak\'ow, Poland}
\email{szemberg@pk.edu.pl}
... | 114,917 |
TITLE: $P(n)$ is product of all digits of $n$. Find all $n$ such that $P(n)$ = $n^2−10n−22$.
QUESTION [1 upvotes]: $P(n)$ is defined as product of all digits of $n$ (decimal
representation). Find all $n$ such that $P(n)$ = $n^2−10n−22$.
I know the answer, which I will post later on in few days, but I want to see if ... | 40,501 |
Twenty years after Sylvania Waters portrayed it as populated by nouveau riche bogans, the wounds are still raw in Sydney's Sutherland Shire.
So locals were furious to learn this week that Channel Ten is poised to start filming a new TV reality programme, The Shire, based on the United States hit show Jersey Shore.
Afte... | 31,123 |
Albertson’s has more than 2,200 grocery stores, which makes it the third biggest grocery supplier in the United States behind Walmart and Kroger. Because the grocery store chain seeks to make shopping easy and convenient for their customers, Abertson’s hours are limited only a handful of days of the year, and they’re o... | 357,259 |
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We Are Learning 3D Printing Through Our Personal Experience…
A few days ago we have told you about the plans that Future Make, the company developing the Polyes Q1 3D printing pen, has to launch a Kickstarter crowdfunding campaign for their device before Christmas and this has already happened. The Polyes Q1 SLA 3D pri... | 415,215 |
TITLE: Riemann integration of a discontinuous function
QUESTION [0 upvotes]: I'm asked to show that $\int_{0}^{1}f=1$ where $f$ is defined with piece-wise:
$$
f=\begin{cases}
0 & x=0 \\
1 & x\ne0.\\
\end{cases}
$$
To show this I am using the upper/lower sums definition of a Riemann integral. This is wh... | 194,217 |
\section{Infinite two-parameter series of halvings}
\label{sect:series}
Now we are going to recursively construct infinite two-parameter families of halvings from the two halvings in Theorem~\ref{thm:halving_example}.
The strategy is to start with a suitable decomposition of $\gauss{V}{k}{q}$ into joins as discussed in... | 211,177 |
OMNIA 3 Application Introduction
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Business applications, in the OMNIA platform, are generated from the model. They can be utilized via the API directly or via the user interface.
2. Understanding the menu
Via the user interface, when you login and select a tenant, you will be shown a default menu in the ... | 88,747 |
Scroll down to view a list of all Bay Hill Estates homes for sale and real estate today or call (561) 322-3330 to speak to a Bay Hill Estates realtor now.
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PROPOSED: Rocker Tommy Lee, 40, has proposed settling his punishment (he's due to contribute 237 hours of community service for spousal abuse) by performing concerts at military bases around the world, the Associated Press reports. Lee pleaded no contest to charges of spousal abuse, child abuse and a firearms violation... | 120,503 |
\begin{document}
\title{Nonparametric estimation of risk measures of collective risks}
\author{
Alexandra Lauer\footnote{Department of Mathematics, Saarland University, {\tt lauer@math.uni-sb.de}}
\qquad\qquad
Henryk Z\"ahle\footnote{Department of Mathematics, Saarland University, {\tt zaehle@math.uni-sb.de}}}
\date... | 10,906 |
Gentry County Facts
Gentry County was organized February 14, 1845, from Clinton County and named for Richard Gentry, Seminole War general. The County Seat is Albany. Courthouse burned in 1885. See also County History or Courthouse History for more historical details.
Gentry County has records of genealogical interest a... | 276,909 |
\begin{document}
\title{On the nearly freeness of conic-line arrangements with nodes, tacnodes, and ordinary triple points}
\author{Aleksandra Ga\l ecka}
\date{\today}
\maketitle
\thispagestyle{empty}
\begin{abstract}
In the present note we provide a partial classification of nearly free conic-line arrangements in the ... | 49,071 |
Close-up photo of head shows the amplexial appendages of a male. The photo of the entire fairy shrimp is a female with eggs.
Imperial County, California, US
There's a small vernal pool on the pathway at the top of the mesa. It was teaming with fairy shrimp. I've never seen shrimp in that pool since. In fact, I don't ev... | 33,524 |
The New Mango Emoji Has Arrived
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But Aussie mango lovers are in especially good spirits after the release of the long-anticipated mango emoji.
The launch arrives after a two-year-strong campaign led by Australian Mangoes and funded through Hort ... | 105,118 |
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hi, where is everyone from. I'm from Toronto.
Started by Natalie on 12/18/2008 in Newcastle NSW Mums
Last update on 10/15/2016 by Ana
Newcastle NSW mums.
hi, where is everyone from. I'm from Toronto.
Last update on 10/15/2016 by Ana
Since I have had my baby girl I don't have alot to do anymore a... | 344,733 |
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David Mattson Jr., MD
Simon Fung-Kee-Fung,... | 405,627 |
Little Joe Vanilla Scented Car Air Freshener
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Commercial steps to consider when you are considering purchasing commercial real estate.
1. Know the Reason for Your Investment
Before you begin, ask yourself why you are investing. Understand what you hope to achieve. Write this down and classify your reasons. Decide what you wish to achieve. This will help with under... | 35,437 |
\begin{document}
\tolerance=10000
\def\pni{\par \noindent}
\def\vsh{\smallskip}
\def\s{\smallskip}
\def\vs{\medskip}
\def\vvs{\bigskip}
\def\vvvs{\bigskip\medskip}
\def\vsp{\vsh \pni}
\def\vsn{\vsh\pni}
\def\cen{\centerline}
\def\ra{\item{a)\ }} \def\rb{\item{b)\ }} \def\rc{\item{c)\ }}
\def\eg{{\it e.g.}\ }
\h... | 110,176 |
TITLE: What Is the Probability of This Event? (First Chapter Question)
QUESTION [0 upvotes]: There are two roads from $A$ to $B$, and two roads from $B$ to $C$. Each of the four roads has probability $p$ of being blocked by snow, independently of all the others. What is the probability that there is an open road from... | 212,200 |
Spring Framework Interview Questions and Answers
Ques 1..
Ques 2. What are features of.
Ques.
Ques 4..
Ques 5..
Most helpful rated by users:
- What is Spring?
- What are the advantages of Spring framework?
- What are features of Spring?
- What are the types of Dependency Injection Spring supports?
- Please describe the... | 367,351 |
\begin{document}
\title{{Edge Artificial Intelligence for 6G: \\Vision, Enabling Technologies, and Applications}}
\author{Khaled B. Letaief, \IEEEmembership{Fellow, IEEE},
Yuanming~Shi,~\IEEEmembership{Senior Member,~IEEE,}
Jianmin Lu,\\
and Jianhua Lu, \IEEEmembership{Fellow, IEEE}
\thanks{... | 40,421 |
TITLE: Group law on $\{ f \in L^1[0,1], f>0,\int f=1\}$
QUESTION [4 upvotes]: Let $$G = \left\{ f : [0,1] \to (0,\infty)\text{ Lebesgue measurable and }\int_{[0,1]} fd\mu=1\right\}$$
Question: is $$f \odot g = f\left(\int_0^x g(y)dy\right) g(x)$$ a group law on $G$ with identity $1$ and inverse $\frac1{f(F^{-1}(x))}, ... | 173,139 |
Profile – no way to currently screen for Ovarian cancer and there are no specific cures. An important component to overcoming this, therefore, is research. The funds we raise by participating in this ride will go directly into research that will help to improve the outcomes of women living with rare forms of ovarian ca... | 202,010 |
TITLE: Difference between affine variety and graph of a function
QUESTION [0 upvotes]: I just started to read Algebraic Geometry and when I was going through exercises in Hartshorne's algebraic geometry book I came about the following question.
Consider the plane curve $y = x^2$. Then $Y = \mathcal{Z}(x^2-y)$ is the s... | 183,043 |
TITLE: How many homomorphisms of fields $\mathbb{Q}(\sqrt[4]2)\to\mathbb R$ are there?
QUESTION [2 upvotes]: How many homomorphisms of fields $\mathbb{Q}(\sqrt[4]2)\to\mathbb R$ are there?
I think the answer is 2 because $$\mathbb{Q}(\sqrt[4]2) \simeq\frac{\mathbb Q[x]}{(x^4-2)}$$ and only two root of $x^4-2$ are real ... | 132,438 |
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Wear these with your favorite matching PilyQ bikini, the 2016 PilyQ Swimwear African Rays Sassy Short is the perfect addition to your beach style. Easy pull on style has adjustable drawstring at wide waistband with fringe ta... | 325,640 |
\begin{document}
\title{Regularized Diffusion Adaptation via Conjugate Smoothing}
\author{Stefan~Vlaski,~\IEEEmembership{Student Member,~IEEE,} Lieven Vandenberghe,
and~Ali~H.~Sayed,~\IEEEmembership{Fellow,~IEEE}
\thanks{S. Vlaski and A. H. Sayed are with the Institute of Electrical Engineering, \'{E}cole Polytech... | 208,984 |
TITLE: Are lightface \Delta-1-1 classes of reals describable with hyperarthmetic formulae?
QUESTION [3 upvotes]: I'd appreciate if someone could check my reasoning. Suppose $S$ is a lightface $\Delta^1_1$ class of reals. I want to argue that there is a computable $\Delta^0_\alpha$ formula $\phi(Y)$, for $\alpha$ a co... | 220,262 |
[Verse 1: Common]
I spent my day so, first I pray yo
Then I lay low, looking for the halo
Or more yayo, my little angel
Reminded me to stay playful
Faithful walks I take in the woods
Thinking whats good, things that I]
I)
Common and Game rapping about their angels. To Common, that angel is marijuana. To Game, that ange... | 222,168 |
\begin{document}
\maketitle
\begin{abstract}
We consider a smooth system of two homogeneous quadratic equations over $\QQ$ in $n \geq 13$ variables. In this case, the Hasse principle
is known to hold, thanks to the work of Mordell in 1959. The only local obstruction is over $\RR$. In this paper, we give an explici... | 101,897 |
Bitcoin forecast by hour
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Gold Price Forecast For Tomorrow, Week And Month
Bitcoin and Ethereum Price Forecast – Prices Consolidate
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TITLE: Baby Rudin Ex. 1.6, part b
QUESTION [0 upvotes]: Prove that $b^{r+s}=b^rb^s$ if $r$ and $s$ are rational.
The model solution provided by Cooke basically solves this "by the laws of exponents for integer exponents", i.e. the statement is true if $r,s$ were integers (he does not prove this).
Problem is, I cannot ... | 135,864 |
TITLE: If f is a real function in $H^2\mathbb(D)$ then $f$ is constant.
QUESTION [1 upvotes]: I want to prove that if $f$ is a REAL function in the Hardy space $H^2\mathbb(D)$ then $f$ is contant.
We know that if $f\in H^2\mathbb(D)$ then $$f(z)=\sum_{n=0}^{\infty}a_nz^n$$ where $a_n=\frac{f^{(n)}(0)}{n!}$.
Since $f$ ... | 108,042 |
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\begin{document}
\title{Large time behavior of solutions of the heat equation\\
with inverse square potential}
\author{Kazuhiro Ishige and Asato Mukai
}
\date{}
\maketitle
\begin{abstract}
Let $L:=-\Delta+V$ be a nonnegative Schr\"odinger operator on $L^2({\bf R}^N)$,
where $N\ge 2$ and $V$ is a radially symmetri... | 101,582 |
Student Uses Heights Upbringing as Subject Matter
Brooklynite Vincenzo Ciccone’s poem about local experiences won the Truman Capote Scholarship for creative writing. Photo by Maria T. Orro, International Tennis Federation, courtesy of James Ciccone scholarship support for the following academic year.
His poem is titled... | 394,159 |
TITLE: Do post-big-bang quantum fluctuations determine star and planet formation?
QUESTION [0 upvotes]: It is my understanding that cosmology simulations largely implement general-relativity, taking quantum-effects into account merely by setting the fluctuations in the initial conditions. In the real world, however, qu... | 159,277 |
TITLE: In which direction to accelerate to pass through the origin
QUESTION [2 upvotes]: In which direction, $\hat{n}$ (unit vector), should an object accelerate at constant rate $a$, with initial position $\vec{p}$ and velocity $\vec{v}$, such that it passes through the origin? So solving for $t$ and $\hat{n}$ in the ... | 113,195 |
TITLE: Show that $f$ has an inverse
QUESTION [1 upvotes]: The function $f$ is given on the interval $[0,\infty)$ by
$$f(x)=\sqrt{x^5+4x^3+3x+1}$$
Show that $f$ has an inverse.
$f'(x)=\frac{5x^4+12x^2+3}{2\sqrt{x^5+4x^3+3x+1}}>0$ for all $x$, so $f$ is injective. How do I show that $f$ is surjective?
REPLY [2 votes]: ... | 19,691 |
\begin{document}
\title{Successive phase transitions and kink solutions in
$\phi^{8}$, $\phi^{10}$, and $\phi^{12}$ field theories}
\author{Avinash Khare}
\email{khare@iiserpune.ac.in}
\affiliation{Raja Ramanna Fellow, Indian Institute of Science Education
and Research, Pune 411021, India}
\author{Ivan C.\ Christov... | 218,788 |
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Nine Muses’ Kyungri, ZE:A’s Kevin, and Rookie So Jin Show Some Skin in Latest “NASTY NASTY” Teaser Photos
The new project group “NASTY NASTY,” dubbed as Star Empire‘s answer to CUBE Entertainment’s Trouble Maker, has released its latest individual teaser photos oozing with sex appeal featuring Nine Muses’ Kyungri, ZE:A... | 359,557 |
\section{Representation of Linear Hyperbolic Systems}
\label{sec:lax}
\setcounter{theorem}{0}
\setcounter{equation}{0}
We now return to the main theme of this paper and consider linear
initial-value problems of the form
\begin{equation}\label{eq:hyp}
\frac{\d u}{\d t} +
\sum_{k = 1}^m A_k(x) \frac{\d u}{\d x_k} + B(x... | 117,841 |
Behçets Syndrome (BS) is a chronic recurrent multisystemic inflammatory disorder characterized by oral and genital ulcers, ocular inflammation. Behçets syndrome has a complex genetic etiology. However, epidemiological studies recommend that genetic factors have a significant influence to its pathogenesis, alike to othe... | 38,434 |
\begin{document}
\setcounter{tocdepth}{1}
\title{Completed Group Algebras of Abelian-by-procyclic Groups}
\author{Adam Jones}
\date{\today}
\maketitle
\begin{abstract}
\noindent Let $p$ be prime, let $G$ be a $p$-valuable group, isomorphic to $\mathbb{Z}_p^d\rtimes\mathbb{Z}_p$, and let $k$ be a field of charact... | 197,509 |
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