text stringlengths 100 500k | subset stringclasses 4
values |
|---|---|
The SELEX collaboration Gough Eschrich, Ivo M. ; Kruger, H. ; Simon, J. ; et al.
Phys.Lett. B522 (2001) 233-239, 2001.
The Sigma^- mean squared charge radius has been measured in the space-like Q^2 range 0.035-0.105 GeV^2/c^2 by elastic scattering of a Sigma^- beam off atomic electrons. The measurement was performed wi... | CommonCrawl |
Let $X$ be a set.
A $\sigma$-algebra $\mathcal R$ is a $\sigma$-ring with a unit.
A $\sigma$-algebra $\mathcal R$ over $X$ is an algebra of sets which is closed under countable unions.
This is also seen as $\sigma$-algebra, from $\sigma$ being the Greek letter sigma.
Results about $\sigma$-algebras can be found here.
$... | CommonCrawl |
Does this concept in Fourier analysis which eliminates Gibbs' phenomenon and also introducing some new concepts, possibly have applications in any areas of physics, like QM or in any applied areas?
How do I enforce the no-slip boundary condition in time dependent incompressible pipe flow?
I would be very grateful if yo... | CommonCrawl |
Motivated by gauge theory, we develop a general framework for chain complex valued algebraic quantum field theories. Building upon our recent operadic approach to this subject, we show that the category of such theories carries a canonical model structure and explain the important conceptual and also practical conseque... | CommonCrawl |
Yang Yang (S'11–M'14-SM'17) was born in Bayan Nur, Inner Mongolia, China and received MEng, MSc, Ph.D degrees from Monash University, Melbourne, Australia, in 2007, 2008 and 2013, respectively. From 2012 to 2015, he was an Asia-Pacific GSP Engineer at Rain Bird and a Global GSP Success Award holder of the year 2014. He... | CommonCrawl |
"The oloid is one of the only known objects, along with some members of the sphericon family, that while rolling, develops its entire surface."
Link to video of oloid rolling.
Link to video of sphericon rolling.
Q1. The phrasing of the Wikipedia sentence quoted above seems to allow the interpretation that it is unknown... | CommonCrawl |
"Systoles of arithmetic hyberbolic surfaces and 3-manifolds" by Benjamin Linowitz, D.B. McReynolds et al.
Our main result is that for any positive real number $x_0$, the set of commensurability classes of arithmetic hyperbolic 2- or 3-manifolds with fixed invariant trace field $k$ and systole bounded below by $x_0$ has... | CommonCrawl |
where $V$ is the volume of the solid, $\bar x$ is the coordinate of the centroid of the resulting solid, and dV is the element of volume, usually a disk, ring or shell. Because of symmetry of the solid that lies on its axis, we only need one coordinate to find its centroid.
We can imagine that we could create a solid f... | CommonCrawl |
A ring on which all finitely generated projectives modules are free but not all projectives are free?
Sorry if the question is naive: any nice example of such a ring or, better, of a class of such rings?
Cher Michel, these rings are uncommon.
1) Over a local ring ALL projective modules are free : this is a celebrated t... | CommonCrawl |
Must the calculation of such matrix norm be NP-hard?
You claim that usual matrix norms do not work because of the $|f(x_1)-f(x_2)|$ criterion, but if $f$ is differentiable, then given any $x_1$ it is Lipschitz in some neighborhood of $x_1$ (with a constant that may depend on $x_1$), and hence $|f(x_1)-f(x_2)|\leq C \|x... | CommonCrawl |
Brothers, cousins, and foes - what am I?
I am one of many siblings in a great family.
Because each of us has a clear worst enemy.
We never hide our hatred for each other.
Wave at my eldest brother and he becomes me.
She too can turn into me, in her gentle way.
So smooth and perfect that he'll always outstrip me.
Often ... | CommonCrawl |
Kim, N. (2004). Multi-spin strings on AdS5 x T1,1 and operators of N=1 superconformal theory. Physical Review D, 69(12): 126002.
Abstract: We study rotating strings with multiple spins in the background of $AdS5 times T1,1, which is dual to a $\cN=1$ superconformal field theory with global symmetry $SU(2)\times SU(2)\t... | CommonCrawl |
Abstract: The standard Hopfield model for associative neural networks accounts for biological Hebbian learning and acts as the harmonic oscillator for pattern recognition, however its maximal storage capacity is $\alpha \sim 0.14$, far from the theoretical bound for symmetric networks, i.e. $\alpha =1$. Inspired by sle... | CommonCrawl |
The table below gives some information about the points scored by Arjun in AHC (All Hastin Championship), in each of five different mind games-Dice, Dance, Dupe, Digit and Dynasty.
for every successful attempt Anon gets one point and for every unattempted problem he loses 1/6th of a point and for every failure he loses... | CommonCrawl |
Abstract: We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by integers $p$ and $q$. These models depend on one dimensionless parame... | CommonCrawl |
Wherever there is large-scale construction, you will find cranes that do the lifting. One hardly ever thinks about what marvelous examples of engineering cranes are: a structure of (relatively) little weight that can lift much heavier loads. But even the best-built cranes may have a limit on how much weight they can li... | CommonCrawl |
Sage is capable of executing most vector operations, including dot products, cross products, and Euclidean norms.
We can calculate the cross product $\mathbf u \times \mathbf v$ of $\mathbf u = (1, 3/2, -1)$ and $\mathbf v = (1, 8, -2)$.
We can calculate the Euclidean norm of $\mathbf v$ of $\mathbf v = (1, 8, -2)$.
Pr... | CommonCrawl |
Abstract: This is the first in a series of papers devoted to the theory of decomposition spaces, a general framework for incidence algebras and Möbius inversion, where algebraic identities are realised by taking homotopy cardinality of equivalences of $\infty$-groupoids. A decomposition space is a simplicial $\infty$-g... | CommonCrawl |
Is it possible to put the scale factor in youre best cp plugin ?
Very handy that scale factor !
But when I put CP in front of nr , all get mixed up !
can not get this plugin to clear at score.
so it looks realy messy !
$xml.='<quad scale="'.$scale.'" posn="' .$x_quad_cp. " "
The xml config from the download of v1.5 is ... | CommonCrawl |
Abstract. Let $f(\varphi)$ be a positive continuous function on $0\leq\varphi\leq\Theta$ , where $\Theta\leq2\pi$ , and let $\xi$ be the number of two-dimensional lattice points in the domain $\Pi_R(f)$ between the curves $r=(R+c_1/R)f(\varphi)$ and $r=(R+c_2/R)f(\varphi)$ , where $c_1<c_2$ are fixed. Randomizing the f... | CommonCrawl |
Abstract: Let $G\subset\mathbb C\times\mathbb R$ be a domain such that $G\times\mathbb R\subset\mathbb C^2$ is strictly pseudoconvex and let $U\subset bG$ be an open subset. We define the hull $\mathscr E(U)$ with respect to the algebra $\mathscr A(G\times\mathbb R)$ and study its properties. It is proved that every co... | CommonCrawl |
Is it possible to unify the strong, weak, electric and magnetic field just by Maxwellian type equations? (Maxwell by adding a small change - unified electric and magnetic field, then Einstein's equations - use it to create special and general theory of relativity, now maybe all we need is a little more change to unify ... | CommonCrawl |
I have a set of sample time-series data below of monthly prices for two companies.
Q1. I want to calculate monthly and quarterly log returns.what is the most expedient way to do this? TimeSeriesAggregate only has the standard Mean, etc.
Q2. With the returns from Q1, what is the most expedient method to calculate the co... | CommonCrawl |
Audio normalization and noise reduction is a vital part for robust speech recognition in various environment. Unfortunately Julius has no modern normalization or noise reduction techniques in it, just offers some basic methods.
Note that the recognition results may not be the same between live audio input and file inpu... | CommonCrawl |
Given the polynomial $f = (xy-yx)z \in \mathbb R[x,y,z]$, how can I evaluate it on matrices?
Given the polynomial $f = (xy-yx)z \in \mathbb R[x,y,z]$, Q[x,y,z]$, how can I evaluate it on matrices?
Given the polynomial $f = (xy-yx)z \in \mathbb Q[x,y,z]$, how How can I evaluate it on matrices?construct a map $M_2(\mathb... | CommonCrawl |
Please help by writing tag wikis for your favorite tags!
Use answers to this post to suggest tag synonyms.
Finally, if you're a 10k+ user, note how easy it is for you to edit tags now!
From Redesigned Tags Page on SE Blog.
We just got a question tagged icm-2014 and we have icm-2010 (with two closed questions tagged wit... | CommonCrawl |
In this paper we consider approximations à la Sacks-Uhlenbeck of the harmonic energy for maps from $S^2$ into $S^2$. We continue the analysis in 6 about limits of $\alpha$-harmonic maps with uniformly bounded energy. Using a recent energy identity in 7, we obtain an optimal gap theorem for the $\alpha$-harmonic maps of... | CommonCrawl |
Does there exist a space filling curve which sends every convex set to a convex set ?
Does there exist a surjective continuous function $f:[0,1]\to [0,1]^2$ which maps every convex set to a convex set ?
Partial answer: Here is a discontinuous surjective function $f:[0,1]\rightarrow[0,1]^2$ that maps convex sets to conv... | CommonCrawl |
Transcript What are Quadratic Functions?
"You've seen the posters. You've seen the billboards. Now drink the drink. The question of the summer is about to be answered. The Quadratic Functions are proud to present a refreshing line of new drinks, Parabolica! Parabolica XTRA Strong is just amazing. It makes gravity work ... | CommonCrawl |
The definition of a symmetry is this: You close your eyes, then I perform a transformation on an object/system and if you can't tell that I changed anything at all, the transformation I performed is a symmetry of the object/system.
Symmetry is the pattern that tells you how to generate one part of an object from anothe... | CommonCrawl |
Time for another classic post from the old site, while I'm at it… As we have seen in a bunch of previous posts, the notion of configuration space has held a prominent place in my mathematical explorations, because, I can't emphasize enough, it's not just the geometry of things that you can directly see that are importa... | CommonCrawl |
(A) I will not leave the place until the minister does not meet me.
(B) I will not leave the place until the minister doesn't meet me.
(C) I will not leave the place until the minister meet me.
(D) I will not leave the place until the minister meets me.
Answer : (D) I will not leave the place until the minister meets m... | CommonCrawl |
We elucidate the connection between different notions of differentiability in $\mathcal P_2(\mathbb R^d)$: some have been introduced intrinsically by Ambrosio--Gigli--Savar\'e, the other notion due to Lions, is extrinsic and arises from the identification of $\mathcal P_2(\mathbb R^d)$ with the Hilbert space of square-... | CommonCrawl |
Problem. Let $X$ be a Polish space, $\mathcal I$ be a $\sigma$-ideal with Borel base, and $\mathcal A\subset\mathcal I$ be a point-finite cover of $X$. Is it true that $\mathcal A$ conatins a subfmaily $\mathcal B$ whose union $\bigcup\mathcal B$ is completely $\mathcal I$-nonmeasurable in the sense that any Borel subs... | CommonCrawl |
We consider the task of obtaining the maximum a posteriori estimate of discrete pairwise random fields with arbitrary unary potentials and semi-metric pairwise potentials. For this problem, we propose an accurate hierarchical move making strategy where each move is computed efficiently by solving an st-MINCUT problem. ... | CommonCrawl |
I am running a non-parametric paired samples analysis.
I've been reading about calculation of the effect size r for this analysis and most literature referes to the formula proposed by Rosenthal (1991). The formula is: r = Z/sqrt(N). In the case of JASP, the way the same coefficient r is computed seems to be quite diff... | CommonCrawl |
Step by step how to do 2 step linear, convert a mixed number to a decimal, how do you calculate proportions in algebra.
Math problems geometric progression, third order quadratic equation, inequality instructions, creative publications worksheets, solving distance word problems, holt pre-test.
Practice workbook mcdugal... | CommonCrawl |
We analyze the class of universal Markov processes on $R^d$ which do not depend on random. For this, as well as for several subclasses, we prove criteria whether a function $f:[0,\infty[ \to R^d$ can be a path of a process in the respective class. This is useful in particular in the construction of (counter-) examples.... | CommonCrawl |
The topic of my Master's thesis, "Divergence-measure fields: generalizations of Gauss-Green formula with applications", which I wrote under the supervision of Prof. K. R. Payne, concerns the study of$L^p$-summable vector fields whose divergence is a Radon measure, in order to achieve a generalization of the classical d... | CommonCrawl |
The method of martingale approximation consists in approximating the partial sums of a strictly stationary sequence by those of a martingale differences sequence with stationary increments. Gordin and Peligrad (2011) gave a necessary and sufficient condition for martingale approximation. This condition can be used to e... | CommonCrawl |
One of the key motivating factors for free software is so that a user or interested third party can see how a program works, how it was created, verify it for bugs and security, and can easily modify it including to fix bugs. To some degree this philosophy can be carried across to other works covered by copyright, yet ... | CommonCrawl |
Spivak Calculus 4-th Ed., Chapter 2, Exercise 13a, Understanding the proof of $\sqrt3$ being irrational.
Prove that $\sqrt3$ is irrational. Hint: To treat $\sqrt3$, for example, use the fact that every integer is of the form $3n$, $3n+1$ or $3n+2$.
Supose $\sqrt3$ were rational, and let $\sqrt3 = p/q$, where $p$ and $q... | CommonCrawl |
109 How to learn from proofs?
87 Is "women men girls love meet die" a valid sentence?
87 Does C++ compiler remove/optimize useless parentheses?
73 Are $10\times 10$ matrices spanned by powers of a single matrix?
71 Is there any concrete relation between Gödel's incompleteness theorem, the halting problem and universal ... | CommonCrawl |
SUMMARY Given the probability measure $\nu$ over the given region $\Omega\subset \R^n$, we consider the optimal location of a set $\Sigma$ composed by $n$ points $\Om$ in order to minimize the average distance $\Sigma\mapsto \int_\Om \dist(x,\Sigma) d\nu$ (the classical optimal facility location problem). The paper com... | CommonCrawl |
During long milking sessions, Bessie the cow likes to stare out the window of her barn at two huge rectangular billboards across the street advertising "Farmer Alex's Amazingly Appetizing Alfalfa" and "Farmer Greg's Great Grain". Pictures of these two cow feed products on the billboards look much tastier to Bessie than... | CommonCrawl |
This is a basic course of the Berlin Mathematical School and will be held in English. Depending on the audience one of the tutorials may be held in German.
Introduction to projective, spherical, hyperbolic, Möbius and Lie geometry.
Update: Further oral exams will be offered on 26 June. Please see Prof. Sullivan's webpa... | CommonCrawl |
Given a (hereditary) finitary abelian category $\mathcal C$, one can associate to it the Hall algebra $H_ \mathcal C $, which encodes the combinatorial information about extensions between objects in $\mathcal C$. When $\mathcal C$ is the category of finite-dimensional representations of a quiver over a finite field, t... | CommonCrawl |
Abstract: In the example of a weakly imperfect Bose gas, we discuss the mechanism of establishing thermodynamic equilibrium for a chaotic set of quantum vortex filaments. We assume that the dynamics of the Bose condensate is described by the Gross–Pitaevsky equation with an additional noise satisfying the fluctuation-d... | CommonCrawl |
Herman and Alex play a game on a $5 \times 5$ board. On his turn, a player can claim any open square as his territory. Once all the squares are claimed, the winner is the player whose territory has the longer border. Herman goes first. If both play their best, who will win, or will the game end in a draw?
I will call t... | CommonCrawl |
We use this to prove yet another important inequality called Minkowski's inequality.
Theorem 1 (Minkowski's Inequality (General)): Let $(X, \mathfrak T, \mu)$ be a measure space and let $1 \leq p \leq \infty$. Then for all $p$-integrable functions $f, g \in \mathcal L^p (X, \mathfrak T, \mu)$ we have that $\| f + g \|_... | CommonCrawl |
Events matching "Plurisubharmonic subextensions as envelopes of dis"
I will describe new joint work with Evgeny Poletsky. We prove a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous function on a domain $W$ in a Stein manifold to a larger domain $X$ under suitable conditions on $W$ ... | CommonCrawl |
Today, Connor asked the following question involving a system of linear equation with an additional parameter: Given that $x_1 + hx_2 = 4$ and $3x_1 + 6x_2 =8$, find all pairs of the form $(x_1,x_2)$ satisfying both equations. OK…What do we do with that additional $h$? Well, read on! | CommonCrawl |
This topic contains 2 replies, has 2 voices, and was last updated by sona2017 2 years, 2 months ago.
I have the date in a CSV file, I am reading in php, I am not able to convert date (Ex: 05/01/2016) to a format readable by canvas JS. The Date function is PHP is not working. Can someone please help?
In your case, chang... | CommonCrawl |
Davis, Burgess and Song, Renming 2011. Selected Works of Donald L. Burkholder. p. 724.
Chilin, Vladimir and Litvinov, Semyon 2011. A Banach Principle for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.or... | CommonCrawl |
If we form a triangle with sides $b, c$ and angle $\alpha$ in-between then, according to the Law of Cosines, the side opposite $\alpha$ will be exactly $a.$ This means that $a,b,c$ form a triangle and the Law of Cosines applied twice implies the required two inequalities.
Leo Giugiuc has kindly messaged me this problem... | CommonCrawl |
Abstract: When modelling inflaton fluctuations as a free quantum scalar field, the initial vacuum is conventionally imposed at the infinite past. This is called the Bunch-Davies (BD) vacuum. If however an asymptotically Minkowskian past does not exist, this requires modifications. We derive corrections to the scalar sp... | CommonCrawl |
We analyze elemental abundances of the common proper motion pair HD 134439 and HD 134440 to understand their formation history. This pair of metal-poor ([Fe/H]$\sim -1.50$) halo dwarfs are known, from previous studies, to exhibit abnormally low [$\alpha$/Fe] ratios compared to typical Galactic halo stars. Some have att... | CommonCrawl |
This paper addresses the problem of provably efficient and practically good on-the-fly determinacy race detection in task parallel programs that use futures. Prior works on determinacy race detection have mostly focused on either task parallel programs that follow a series-parallel dependence structure or ones with unr... | CommonCrawl |
Abstract: Following our result that for the final state of continued spherical gravitational collapse, the gravitational mass of the fluid, $M_f\to 0$, we show that for a physical fluid the eventual value of $2GM_f/R_f\to 1$ rather than $2GM_f/R_f <1$, indicating approach to a zero-mass black hole. We also indicate tha... | CommonCrawl |
We consider the triple L-function $L(1/2,f\times g\times \phi_i)$ for fixed Maass forms f and g as the eigenvalue of $\phi_i$ goes to infinity.
We deduce a subconvexity bound for this L-function from the uniqueness principle in representation theory and from simple geometric properties of the corresponding invariant fu... | CommonCrawl |
Abstract: The Lieb-Liniger model describes one-dimensional bosons interacting through a repulsive contact potential. In this work, we introduce an extended version of this model by replacing the contact potential with a decaying exponential. Using the recently developed continuous matrix product states techniques, we e... | CommonCrawl |
Abekawa, T., Ito, K., Nakagawa, S., & Koyama, T. ( 2007).
Abi-Dargham, A., Laruelle, M., Aghajanian, G. K., Charney, D., & Krystal, J. ( 1997).
The Journal of Neuropsychiatry and Clinical Neurosciences, 9( 1), 1-17.
Aika, Y., Ren, J. Q., Kosaka, K., & Kosaka, T. ( 1994).
Experimental Brain Research, 99( 2), 267-276.
Al... | CommonCrawl |
For $G_2$ a six term relation is valid which converts a factorisation $x_1(a)x_2(b)x_1(c)x_2(d)x_1(e)x_2(f)$ into a product of the form $x_2(A)x_1(B)x_2(C)x_1(D)x_2(E)x_1(F)$ where $A$, $B$, $C$, $D$, $E$, and $F$ are subtraction-free rational expressions in the complex parameters $a$, $b$, $c$, $d$, $e$, and $f$ --- s... | CommonCrawl |
Gigapixel videography, beyond the resolution of single camera and human visual perception, aims to capture large-scale dynamic scene with extremely high resolution. Restricted by the spatial-temporal bandwidth product of optical system, the size, weight, power and cost are central challenges in gigapixel video. More ex... | CommonCrawl |
January 30, 1966, 1000AM–1050AM. Jaume Pujol Capdevila, (Universidad Autónoma de Barcelona), Tópicos en Códigos Algebraicos.
March 13, 1996, 1000AM–1050AM. Victor García Muñiz, (Universidad de Puerto Rico), El Sistema Original de las Coordenadas Cartesianas.
March 27, 1996, 1000AM–1050AM. Dr. Guoliang Yu, (University o... | CommonCrawl |
And the objective is to both maximize profit and minimize cost. First of all, if the problems are dual, does that mean the result will be the same in variables such as demands?
For profit maximization, either $x_1$ or $x_2$ (but not both) must be zero. If not, say $x_1^*>x_2^*>0$ at the optimum, then one could increase... | CommonCrawl |
Abstract: A great deal of research into the theory of random processes is concerned with the problem of constructing a process that has certain properties of regularity of the trajectories and has the same finite-dimensional probability distribution as a given stochastic process $x_t$. It is a complicated theory and on... | CommonCrawl |
S Weisberg, R Leibel and D V Tortoriello.
Proteasome inhibitors, including curcumin, improve pancreatic $\beta$-cell function and insulin sensitivity in diabetic mice.. Nutrition & diabetes 6:e205, January 2016.
Abstract BACKGROUND: Type 2 diabetes stems from obesity-associated insulin resistance, and in the geneticall... | CommonCrawl |
$V$ is an inner product space, and a is a linear transformation from $V$ to $V$. Prove that for any unit vector $v$ belongs to $V$, we have $\langle av, v\rangle \langle v, av\rangle \le \langle av, av\rangle$.
The textbook I am reading on talks nothing about the product of two inner products. But I assume that $\langl... | CommonCrawl |
Аннотация: Let $R$ be a topological ring and $E$ be a unitary topological $R$-module. Denote by $C_p(X,E)$ the class of all continuous mappings of $X$ into $E$ in the topology of pointwise convergence. The spaces $X$ and $Y$ are called $l_p(E)$-equivalent if the topological $R$-modules $C_p(X,E)$ and $C_p(Y,E)$ are top... | CommonCrawl |
In this second talk, I will continue to describe the relation between differentiable stacks and Lie groupoids, focusing this time on Lie groupoids. I will provide explicit examples and, if time permits, I will explain the relation to C*-algebras.
We will conclude our discussion of the work of Carchedi and Roytenberg on... | CommonCrawl |
Why are antibonding molecular orbitals formed?
When two atomic orbitals make one molecular orbital there must be an antibonding orbital also. Why should they make also an antibonding molecular orbital, such as the $2\mathrm b_2$ orbital in the scheme below?
Why should they make also an antibonding molecular orbital?
Or... | CommonCrawl |
A freshman of SNU CALS at Korea.
I code to learn, and learn to code. I've programmed for 6 years. I am interested in Brain-Computer Interface.
Programming: Android, Bluetooth, Reverse engineering, cross compiling, etc.
Please answer this(Generalization of Carleman coefficients to multivariable functions - Carleman tens... | CommonCrawl |
Problem: QM/MM study of the Urea Zwitterion in water by means of a QM/MM Hamiltonian.
For this tutorial some input and output files are given in order to present a complete procedure to solve the given problem. Some hints are also given to help in the analysis of the results. In order to be able to run these examples, ... | CommonCrawl |
I think that MathOverflow is a very interesting and useful web site. I try to answer those questions which I can answer without devoting to this significant time. Exceptions are given to those questions which I consider as interesting research problems.
27 Do there exist infinite-dimensional Banach spaces in which ever... | CommonCrawl |
Determine all possibilities for the number of solutions of each of the system of linear equations described below.
(a) A system of $5$ equations in $3$ unknowns and it has $x_1=0, x_2=-3, x_3=1$ as a solution.
(b) A homogeneous system of $5$ equations in $4$ unknowns and the rank of the system is $4$.
See the post Summ... | CommonCrawl |
Is there something similar to the Kourovka Notebook for graph theory (or anyway an organized, possibly commented, collection of conjectures and open problems)?
The largest section in the open problem garden is about graph theory. The book Erdös on Graphs with its living version might be interesting as well.
A list of a... | CommonCrawl |
Clearly if a sequence converges then also it will also have a convergent subsequence (take for example the whole sequence). However, I have been told the the opposite it not true. Could someone give an explicit example on a sequence which have a convergent subsequence but which do not converge?
Also we know that on a c... | CommonCrawl |
Let R be the triangle with vertices at ($x_1$, $y_1$) , ($x_2$, $y_2$), ($x_3$,$y_3$).
Im not sure how to even start. can someone help me?
Browse other questions tagged linear-algebra determinant triangles area or ask your own question.
Why this representation of circle is valid?
Prove that the determinant of a given m... | CommonCrawl |
Friday January 18, 2019, 8:00 a.m.-10:50 a.m.
Continued fractions for the golden L, and billiards in the pentagon.
Hybrid subgroups of complex hyperbolic lattices.
Geodesic submanifolds of hyperbolic hybrids.
Presentations for cusped arithmetic hyperbolic lattices.
Families of Division Algorithms: Structure for Multidi... | CommonCrawl |
The matrix given as below where you are supposed to put number from 1 to 25 in it. But the condition is that, the difference between the neigbours (horizontal and vertical) will be at least $x$.
What is the maximum value of $x$?
Is it possible to generalize the maximum value of $x$ in terms of the dimension of the matr... | CommonCrawl |
In this thesis we describe intermediate Jacobians of threefolds obtained from singular cubic threefolds. By this we mean two things. First, we describe the intermediate Jacobian of a desingularization of a cubic threefold with isolated singularities. Second, we describe limits of intermediate Jacobians of smooth cubic ... | CommonCrawl |
The goal is to tile rectangles as small as possible with the given heptomino, in this case number 6 of the 108 heptominoes. We allow the addition of copies of a rectangle. For each rectangle $a\times b$, find the smallest area larger rectangle that copies of $a\times b$ plus at least one of the given heptomino will til... | CommonCrawl |
The picture illustrates the sum $1 + 2 + 3 + 4 = (4 \times5)/2$. Prove the general formula for the sum of the first $n$ natural numbers and the formula for the sum of the cubes of the first n natural numbers. See the problem Picture Story .
Number theory. Mathematical reasoning & proof. Visualising. Arithmetic sequence... | CommonCrawl |
Exotic Mott insulators are excellent candidates to study quantum magnetism and strongly correlated phases. First, we study one specific example for an exotic strong-interacting phase in a bosonic system, the fully gapped chiral Mott insulator (CMI). Using a perturbative approach we show the existence of a low-lying exc... | CommonCrawl |
Farmer John has decided his home needs more decoration. Visiting the local china shop, he finds a delicate glass cow figurine that he decides to purchase, knowing that it will fit perfectly on the mantel above his fireplace.
The shape of the cow figurine is described by an $N \times M$ grid of characters like the one b... | CommonCrawl |
which yields the same result, 2.
Could someone prove mathematically(or otherwise) why this works? OR provide an example where it won't work? I'm pretty sure it works all the time but don't have a proof..
Edit 1: @Mark Bennet. Thanks for your answer. I was able to fill in the gaps and understand why the answer can be de... | CommonCrawl |
Using the digits $1, 9, 9$ and $8$ in that order, and the operations $+$, $-$ and/or $\times$ in any order between pairs of digits, create an expression that equals $81$. Normal precedence rules apply.
As an example, here is one solution: $1 \times 9 + 9 \times 8 = 81$. Find three or four more solutions that fit the cr... | CommonCrawl |
Abstract: Let $(X,\mu,T)$ be a measure preserving system. A factor is a system $(Y,\nu,S)$ so that there exists $F$ with $SF=FT$ and so that $F$ pushes $\mu$ forward to $\nu$. A measurable dynamical system is prime if it has no non-trivial factors. A classical way to prove a system is prime is to show it has few self-j... | CommonCrawl |
Alexandre Mouton. Two-scale semi-Lagrangian simulation of a charged particle beam in a periodic focusing channel. Kinetic & Related Models, 2009, 2(2): 251-274. doi: 10.3934\/krm.2009.2.251.
Philippe G. LeFloch, Seiji Ukai. A symmetrization of the relativistic Euler equations with severalspatial variables. Kinetic & Re... | CommonCrawl |
Now denote the addition in th group $\mathcal M$ by "$+$" as usual, and the addition and multiplication in the ring $\mathcal R$ by "$\hat+$" and "$\hat*$", respectively. Now denote the addition in th group $\mathcal M$ by "$+$" as usual, and the addition and multiplication in the ring $\mathcal R$ by "$\hat+$... | CommonCrawl |
Abstract: Langevin diffusion processes and their discretizations are often used for sampling from a target density. The most convenient framework for assessing the quality of such a sampling scheme corresponds to smooth and strongly log-concave densities defined on $\mathbb R^p$. The present work focuses on this framew... | CommonCrawl |
A Dirichlet character is a function $\chi: \mathbb Z\to \mathbb C$ together with a positive integer $q$, called the modulus of the character, such that $\chi$ is completely multiplicative, i.e. $\chi(mn)=\chi(m)\chi(n)$ for all integers $m$ and $n$, and $\chi$ is periodic modulo $q$, i.e. $\chi(n+q)=\chi(n)$ for all $n... | CommonCrawl |
Bebiano, N. ; Providência, J. da ; Teixeira, R.
The point equation of the associated curve of the indefinite numerical range is derived, following Fiedler's approach for definite inner product spaces. The classification of the associated curve is presented in the $3\times 3$ indefinite case, using Newton's classificati... | CommonCrawl |
I got this problem from Rustan Leino, who was told it by Clark Barrett.
Given is a (possibly enormous) rectangular chocolate bar, divided into small squares in the usual way. The chocolate holds to a high quality standard, except for the square in the lower left-hand corner, which is poisonous. Two players take turns e... | CommonCrawl |
Augustine, Jacob and Feng, Wen and Jacob, James (1995) Logic Minimization Based Approach for Compressing Image Data. In: 8th International Conference on VLSI Design, 4-7 January 1995, New Delhi, India, pp. 225-228.
We propose a novel approach for the lossless compression of binary images using logic minimization. The i... | CommonCrawl |
Separation of melt from residual solid and its migration from beneath a mid-ocean ridge to Earth's surface require a transition from porous to channelized flow in order to preserve chemical and radiogenic disequilibrium. Chemically isolated, high-permeability melt conduits in Earth's mantle develop as a consequence of ... | CommonCrawl |
I have heard that the worst case for the euclidian algorithm is in the case of Fibonacci numbers. Can this be proven, and can it be proven only n-2 divisions are required (where euclidian algorithm is performed on naturals a, b <= fib(n))?
Browse other questions tagged abstract-algebra induction fibonacci-numbers eucli... | CommonCrawl |
the sum of two and three gamma variate with argument 2. Due to the fact Due to the fact that the sum of n independent gamma variates with shape parameter c i is... Abstract. We give expressions for the distribution and density of a product of gamma or equivalently chi-square random variables. In particular, we give the... | CommonCrawl |
Is this a pseudodifferential operator?
a pseudodifferential operator? More precisely, is there a pseudodifferential operator $P:C_c^\infty(M)\rightarrow C_c^\infty(M)$ of order $-1$ such that $P$ extends to $A$?
Browse other questions tagged dg.differential-geometry fa.functional-analysis operator-theory elliptic-pde p... | CommonCrawl |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.