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S S Talwar
Articles written in Pramana – Journal of Physics
Volume 67 Issue 1 July 2006 pp 121-134
Langmuir Blodgett (LB) process is an important route to the development of organized molecular layered structures of a variety of organic molecules with suitably designed architecture and functionality. LB multilayers hav... |
Let $G_1, G_2$ be groups. Find a group $G$ and homomorphisms $\iota_1: G_1 \rightarrow G, \iota_2: G_2 \rightarrow G$ which satisfy the following property:
For every group $A$ and any homomorphisms $\phi_i: G_i \rightarrow A,\quad i=1,2$ there is a unique homomorphism $f: G \rightarrow A$ with $\phi_i=f \circ\iota$ for... |
Lephenixnoir af424d1baa update documentation after writing the wiki 3 ay önce config 4 ay önce include/TeX 3 ay önce src 3 ay önce .gitignore 3 ay önce Makefile 4 ay önce README.md 3 ay önce TODO.md 3 ay önce configure 3 ay önce font5x7.bmp 4 ay önce font8x9.bmp 4 ay önce font10x12.bmp 4 ay önce
This library is a custo... |
This mod integrates the MathJax library into SMF forum. MathJax is the modern JavaScript-based LaTeX rendering solution for the Internet. Mod uses the MathJax CDN. The CDN will automatically arrange for your readers to download MathJax files from a fast, nearby server. And since bug fixes and patches are deployed to th... |
This is a continuation of The Springer Correspondence, Part I. Here we will work with unipotent matrices to construct the Springer resolution and the cohomology of its fibers. Unipotent Matrices and Partitions
A
unipotent element of a linear algebraic group $G$ is any element $u\in G$ such that $1-u$ is nilpotent. That... |
When thinking of some other problem, I stumbled upon the following innocently looking question that is natural enough to have been considered (and, possibly, solved) many years ago. However my attempts to search the literature for an answer resulted in next to nothing.
Let $K\subset\mathbb R^n$ be a convex cone and let... |
Hi, Can someone provide me some self reading material for Condensed matter theory? I've done QFT previously for which I could happily read Peskin supplemented with David Tong. Can you please suggest some references along those lines? Thanks
@skullpatrol The second one was in my MSc and covered considerably less than my... |
Consider the $p$-th power of the Schatten $p$-norm $||q||_p$ of a probability distribution $q$ , ie, the function $\sum_j q_j^p$, where $\sum_j q_j = 1$ and $q_j \geq 0$. For fixed $q$ and $p>1$ this is a nonincreasing function of $p$.
The question is: given $p_1, p_2$ both $>1$, is it true that:
whenever $\left(||q||_... |
By Joannes Vermorel, February 2012
More accurate demand forecasts are obviously good as far as inventory optimization is concerned. However, the
quantitative assessment of the financial gains generated by an increase of the forecasting accuracy
typically remains a fuzzy area for many retailers and manufacturers. This a... |
Consider a
monotonic predicate $P$ over the powerset $2^{|n|}$ (ordered by inclusion). By "monotonic" I mean: $\forall x, y \in 2^{|n|}$ such that $x \subset y$, if $P(x)$ then $P(y)$. I am looking for an algorithm to find all the minimal elements of $P$, i.e., the $x \in 2^{|n|}$ such that $P(x)$ but $\forall y \subse... |
In the 2SAT problem, you are given a set of clauses, where each clause is the disjunction (OR) oftwo literals (a literal is a Boolean variable or the negation of a Boolean variable). You are lookingfor a way to assign a value ${\tt true}$ or ${\tt false}$ to each of the variables so that all clauses aresatisfied — that... |
Given $n$, the number of vertices, what is the number of labeled triangle-free graphs on $n$ vertices?
There shouldn't be any sensible exact formula, as Ira Gessel says. But there are very good asymptotics and a structural description.
An old result of Erdős, Kleitman and Rothschild is that almost all triangle-free gra... |
K-Means Clustering¶ Introduction¶
K-Means falls in the general category of clustering algorithms. Clustering is a form of unsupervised learning that tries to find structures in the data without using any labels or target values. Clustering partitions a set of observations into separate groupings such that an observatio... |
Math Contents Introduction
TeX was designed for ease of typesetting books that contained mathematics. As ConTeXt is built on top of TeX, it inherits all those features. In addition to these, ConTeXt adds lot of macros to make the typesetting of mathematics easier.
For typesetting of mathematics follows different rules ... |
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Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
I think
I can safely say that nobody understands quantum mechanics. ~ Richard Feynman. Hilbert space
Hilbert space is generalization of the Euclidean space. In a Hilbert space we can have infinite number of dimensions.
A vector in an infinite-dimensional Hilbert space is represented as an infinite vector: \((x_1, x_2, ... |
Exponential of Real Number is Strictly Positive Theorem
Let $x$ be a real number.
Let $\exp$ denote the (real) exponential function.
Then: $\forall x \in \R : \exp x > 0$
This proof assumes the series definition of $\exp$.
That is, let:
$\displaystyle \exp x = \sum_{n \mathop = 0}^\infty \dfrac {x^n} {n!}$ First, suppo... |
If they are asking this question, I would expect at this point you have learned at least one method to solving the equation $Ax = y$ with $A$ a matrix, and $x,y$ vectors (i.e. single column matrices). Here in this problem, they are taking it a step further to illustrate the problem where $y=0$ (the zero-vector).
Those ... |
Second SSC CGL level Question Set, topic Trigonometry
This is the second Question set of 10 practice problem exercise for SSC CGL exam on topic Trigonometry. Students must complete the this set in prescribed time first and then only refer to the corresponding solution set.
It is emphasized here that answering in MCQ te... |
Degree $n$ : $22$ Transitive number $t$ : $7$ Group : $C_{11}\times D_{11}$ Parity: $-1$ Primitive: No Nilpotency class: $-1$ (not nilpotent) Generators: (1,14,6,16,11,18,5,20,10,22,4,13,9,15,3,17,8,19,2,21,7,12), (1,14)(2,21)(3,17)(4,13)(5,20)(6,16)(7,12)(8,19)(9,15)(10,22)(11,18) $|\Aut(F/K)|$: $11$
|G/N| Galois grou... |
Free probability on $ C^{*}$-algebras induced by hecke algebras over primes
1.
St. Ambrose Univ., Dept. of Math. & Stat., 421 Ambrose Hall, 518 W. Locust St., Davenport, IA 52803, USA
2.
Univ. of Iowa, Dept. of Math., 14 McLean Hall, Iowa City, IA 52242, USA
In this paper, we establish free-probabilistic models $ \left... |
The orthogonal group, consisting of all proper and improper rotations, is generated by reflections. Every proper rotation is the composition of two reflections, a special case of the Cartan–Dieudonné theorem.
Yeah it does seem unreasonable to expect a finite presentation
Let (V, b) be an n-dimensional, non-degenerate s... |
A forum where anything goes. Introduce yourselves to other members of the forums, discuss how your name evolves when written out in the Game of Life, or just tell us how you found it. This is the forum for "non-academic" content.
A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: vi... |
Suspension Bridges
Mountain villages like to attract tourists by building suspension bridges, such as the one depicted here in the Harz Mountains in Germany. These bridges allow adventurously-inclined people to seek their thrills by crossing over deep gorges. To make sure that everyone gets just the right amount of exc... |
According to my lecture, Fuzzy c-Means tries to minimize the following objective function:
$$J(X,B,U)=\sum_{i=1}^c\sum_{j=1}^n u_{ij}^w \, d^2(\vec{\beta_i},\vec{x_j})$$
where $X$ are the data points, $B$ are the cluster-'prototypes', and $U$ is the matrix containing the fuzzy membership degrees. $d$ is a distance meas... |
I realize turbines are more efficient than piston engines, but if that were true, then why don't turbo-props reach jet speeds?
The thrust of a propeller is proportional to the inverse of airspeed, while the thrust of a pure turbojet is roughly constant over airspeed in the subsonic region. This means that two airplanes... |
Al-Zamil, Qusay and Montaldi, James (2010)
Witten-Hodge theory for manifolds with boundary. [MIMS Preprint]
PDF
Witten-Hodge.pdf
Download (133kB)
Abstract
We consider a compact, oriented, smooth Riemannian manifold $M$ (with or without boundary) and we suppose $G$ is a torus acting by isometries on $M$. Given $X$ in th... |
A few simple steps to the solution compared to conventional complex procedure
At high school level many times we find math problems are solved following a long series of steps. This is what we call
. conventional approach to solving problems
This approach not only involves
a large number of steps, in most cases, the st... |
I am looking for a computationally cheap way to compute $x$ such that $$(L L^T + \mu^2 I)x = y$$ where $L \in \mathbb{R}^{n \times n}$ is a lower triangular definite positive matrix (with some very small eigenvalues), $y \in \mathbb{R}^n$ and $\mu \in \mathbb{R}$ are known. If it is necessary, I can assume that $$\mu \... |
Explicit computation of these expectations appears to be out of the question once the index exceeds two or three, so I will focus on issues that had been emphasized in earlier versions of the question:
What happens (asymptotically) as $i$ increases?
What happens as $\alpha$ increases?
The answers turn out to be interes... |
I am looking for results concering the following parabolic PDE $$u\cdot\nabla u + \Delta u = F(x),$$ where $$u\colon\Omega\to\mathbb{R}^2,$$ and $\Omega\subset\mathbb{R}^2$ is a 2D domain (bounded or unbounded), preferably the torus ($\mathbb{T}^2$). I do not specify any boundary condition, as I'm interested in results... |
5 2
I'm using the textbook Electricity and Magnetism by Purcell. In the section about continuous charge distributions I found the following formula
[tex] \mathbf{E}(x,y,z)= \frac{1}{4\pi\epsilon_0 } \int \frac{\rho(x',y',z')\boldsymbol{\hat r} dx'dy'dz'}{r^{2}} [/tex]. It's stated that (x,y,z) is fixed while we let the... |
Alright, I have this group $\langle x_i, i\in\mathbb{Z}\mid x_i^2=x_{i-1}x_{i+1}\rangle$ and I'm trying to determine whether $x_ix_j=x_jx_i$ or not. I'm unsure there is enough information to decide this, to be honest.
Nah, I have a pretty garbage question. Let me spell it out.
I have a fiber bundle $p : E \to M$ where ... |
Some mathematical elements change their style depending on the context, whether they are in line with the text or in an equation-type environment. This article explains how to manually adjust the display style.
Let's see an example
Depending on the value of $x$ the equation \( f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x} \) m... |
2016-03-01
A functional central limit theorem for a Markov-modulated infinite-server queue Publication Publication Methodology and Computing in Applied Probability , Volume 18 - Issue 1 p. 153- 168
We consider a model in which the production of new molecules in a chemical reaction network occurs in a seemingly stochast... |
GTU First Year Engineering (Semester 2)
Vector Calculus and Linear Algebra May 2012
Vector Calculus and Linear Algebra
May 2012
Total marks: --
Total time: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons (2) Marks are given to the right of every question (3) Draw neat diagrams wherever... |
26th SSC CGL tier II level Solution Set, 2nd on Time and work problems
This is the 26th solution set of 10 practice problem exercise for SSC CGL Tier II exam and the 2nd on Time and work problems. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, technique... |
This answer says
A helicopter uses a LOT more fuel hovering than it does in forward flight.
Is this correct? Why?
Aviation Stack Exchange is a question and answer site for aircraft pilots, mechanics, and enthusiasts. It only takes a minute to sign up.Sign up to join this community
Yes it is correct that helicopters use... |
I would say that it's almost a sham - not in the sense that it's worthless, just that it markets to people who are apt to exaggerate its worth. Let's consider a few of the things that people might do with such 'bought' primes: they might try to decrypt something, encipher something, or have some sort of sentimental val... |
GTU First Year Engineering (Semester 2)
Vector Calculus and Linear Algebra December 2013
Vector Calculus and Linear Algebra
December 2013
Total marks: --
Total time: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons (2) Marks are given to the right of every question (3) Draw neat diagram... |
K. J. DUNCAN
Articles written in Journal of Astrophysics and Astronomy
Volume 40 Issue 2 April 2019 Article ID 0009
We report optical observations of TGSS J1054 $+$ 5832, a candidate high-redshift ($z = 4.8 \pm 2$) steep-spectrum radio galaxy, in $r$ and $i$ bands, using the faint object spectrograph and camera mounted... |
A Upadhyay
Articles written in Pramana – Journal of Physics
Volume 78 Issue 4 April 2012 pp 613-623 Research Articles
A sequential three-dimensional (3D) particle-in-cell simulation code PICPSI-3D with a user friendly graphical user interface (GUI) has been developed and used to study the interaction of plasma with ult... |
I have a Boolean function that outputs a one on half of its inputs and outputs a zero on half of its inputs, the inputs are assumed to be coming from the uniform distribution. Another way of saying this is the output is one half the time and zero half the time, on average. What is the scientific notation for describing... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
Let $f: \Omega\rightarrow \mathbb{R}$ where $\Omega\subset\mathbb{R}^d$ is bounded with lipschitz smooth boundary. Further suppose that $f\in\mathcal{H}^{\tau}(\Omega)$, $\tau>\frac{d}{2}$ (i.e. $f$ is continuous) and $f$ is zero on the boundary.
Let $$ \Omega_{\delta} = \{ x\in\Omega : \inf_{y\in\partial\Omega} \left\... |
I have to show that the function đť‘“(đť‘Ą)=<đť‘Ą,(34)> is a linear function.
I understand that the proof that is not linear 𝑓(𝑥+𝑦)≠𝑓(𝑥)+𝑓(𝑦).
But honestly I have no idea where to start to prove it. Any ideas or advice?
Thanks!
I think that $ đť‘“(đť‘Ą)=<đť‘Ą,(34)>$ has the following meaning: $(3... |
Basically 2 strings, $a>b$, which go into the first box and do division to output $b,r$ such that $a = bq + r$ and $r<b$, then you have to check for $r=0$ which returns $b$ if we are done, otherwise inputs $r,q$ into the division box..
There was a guy at my university who was convinced he had proven the Collatz Conject... |
Definition:Subtraction Contents Definition
Let $\N$ be the set of natural numbers.
Let $m, n \in \N$ such that $m \le n$.
Let $p \in \N$ such that $n = m + p$.
Then we define the operation subtraction as: $n - m = p$
The natural number $p$ is known as the
difference between $m$ and $n$.
As the set of integers is the In... |
Short answer:
because it's a complex torus. Explanation below would take as through many topics. Topological covers
The curve should be considered over complex numbers, where it can be seen as a Riemann surface, therefore a two-dimensional oriented closed variety. How to find out whether this particular one is a sphere... |
I’ve been doing a lot of reading on confidence interval theory. Some of the reading is more interesting than others. There is one passage from Neyman’s (1952) book “Lectures and Conferences on Mathematical Statistics and Probability” (available here) that stands above the rest in terms of clarity, style, and humor. I h... |
Defining parameters
Level: \( N \) = \( 3600 = 2^{4} \cdot 3^{2} \cdot 5^{2} \) Weight: \( k \) = \( 1 \) Character orbit: \([\chi]\) = 3600.de (of order \(12\) and degree \(4\)) Character conductor: \(\operatorname{cond}(\chi)\) = \( 720 \) Character field: \(\Q(\zeta_{12})\) Newforms: \( 0 \) Sturm bound: \(720\) Tra... |
Discretization-invariant Bayesian inversion and Besov space priors
1.
Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68 (Gustaf Hallstromin katu 2b) FI-00014, Finland, Finland
2.
Tampere University of Technology,Institute of Mathematics,, P.O. Box 553, 33101 Tampere
εis considered, where $U$... |
Airspeed is the speed of an aircraft relative to the air. Among the common conventions for qualifying airspeed are: indicated airspeed ("IAS"), calibrated airspeed ("CAS"), true airspeed ("TAS"), equivalent airspeed ("EAS") and density airspeed. During cruising flight at altitudes, airspeeds, and temperatures common fo... |
I'm looking for a reference for the following result, which is a generalization of the classical theorem of Dirichlet on the approximability of real irrationals by rational numbers:
Let $k$ be a number field, $O$ its ring of integers, $v$ an infinite place of $k$, $\alpha$ any element of the completion $k_v$. Let $\|\c... |
I was trying to implement the algorithm from the paper "Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh–Benard convection".
I am having a hard time to understand the way the boundary conditions are imposed.
The author rewrites the no-slip (on upper and lower boundaries) boundary c... |
Notice:
If you happen to see a question you know the answer to, please do chime in and help your fellow community members. We encourage our fourm members to be more involved, jump in and help out your fellow researchers with their questions. GATK forum is a community forum and helping each other with using GATK tools a... |
I'm trying to understand the concept of spin in Quantum Mechanics. I'm reading "Road to Reality" by Penrose, which despite not being a textbook, is reputed to give one a deep insight into physical processes.
Let us suppose that we have a spin $\frac{1}{2}$ particle. It has two eigenstates- $|\uparrow\rangle$ and $|\dow... |
Mini Series: Designing a Satellite for Dummies
Are you an aspiring aerospace engineer, a space enthusiast, a parent checking your child’s homework or simply interested in the specifics of how to design certain satellite parts? Then this is the place to be.
In this mini series we will go through the basics of designing ... |
Table of Contents
While optimization problems have
one decision maker that controls all decison variables, equilibrium problems are a collection of optimization problems and variational inequalities, each controlled by a different agent. We typically assume that each variable and each equation is controlled by or belon... |
Difference between revisions of "Free implies residually finite"
(→Proof details)
(→Proof details)
Line 35: Line 35:
* Suppose <math>A</math> is the set of <math>i</math>s such that <math>a_i = t</math> and <math>B</math> is the set of <math>j</math>s such that <math>a_j^{-1} = t</math>. Then, set <math>f(t)</math> as ... |
Problem
Find every Householder reflection $H_v$ (with respect to $v$), such that
$$ y = H_vx $$
where $x,y$ are unit vectors, i.e. $\Vert x \Vert_2 = \Vert y \Vert_2 = 1$, and $\langle x,y\rangle = \langle y,x\rangle$ with $x,y \in \mathbb{C}^n$.
A Householder reflection with respect to $v$ is defined
$$ H_v := I - 2\f... |
In my last post, we saw that the number of positive up-down walks (going either up by $1$ or down by $1$ at each step) of length $2n$ starting from $(0,0)$ is $\binom{2n}{n}$. Furthermore, the number of these that return to height $0$ at the end is the $n$th Catalan number $\frac{1}{n+1}\binom{2n}{n}$. It is natural to... |
There is a fun little fact regarding polynomials in two variables $x$ and $y$:
(To be more precise, this is true for polynomials over any field of characteristic not equal to $2$. For simplicity, in what follows we will assume that our polynomials have coefficients in $\mathbb{C}$.)
Recall that a polynomial $g$ is
symm... |
Abstract
We consider a connected semisimple Lie group $G$ with finite center, an admissible probability measure $\mu$ on $G$, and an ergodic $(G,\mu)$-space $(X,\nu)$. We first note (Lemma 0.1) that $(X,\nu)$ has a unique maximal projective factor of the form $(G/Q,\nu_0)$, where $Q$ is a parabolic subgroup of $G$, and... |
Word Vectors Skip-gram Continuous Bag of words(CBOW) Negative Sampling Hierarchical SoftmaxM Word2Vec 1. How to represent words?
With word vectors, we can quite easily encode this ability in the vectors themselves (using distance measures such as Jaccard, Cosine, Eu-clidean, etc).
2. Word Vectors
encode word tokens int... |
Missing values occur in many domains and most datasets contain missing values (due to non-responses, lost records, machine failures, dataset fusions, etc.). These missing values have to be considered before or during analyses of these datasets.
Now, if you have a method that deals with missing values, for instance impu... |
Science Advisor
Homework Helper
1,198 400
Part 1 of (9)
##\phi: R \to S## is a ring epimorphism. Define ##I:= \phi^{-1}(J)##. It is well known that the inverse image of an ideal is an ideal, thus ##I## is an ideal.
Define ##\psi: R/I \to S/J: [r] \mapsto [\phi(r)]## This is well defined: If ##r \in I##, then ##\phi(r) ... |
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Search for new resonances in $W\gamma$ and $Z\gamma$ Final States in $pp$ Collisions at $\sqrt{s}=8\,\mathrm{TeV}$ with the ATLAS Detector
(Elsevier, 2014-11-10)
This letter presents a search for new resonances decaying to final states with a vector boson produced in association with a... |
In my previous post on the major index, I mentioned the statistics $\DeclareMathOperator{\inv}{inv}
\DeclareMathOperator{\maj}{maj} \DeclareMathOperator{\code}{code} \inv$ and $\maj$ on permutations, and the fact that they were equidistributed. I have since learned of a more enlightening way of proving this result, due... |
How can I find the frequency response of the following linear system
OK, in the comments you've shown that you can actually do it by yourself. This answer just summarizes the steps and shows you how to write your (correct) result in the form that you were given as an answer.
First of all, note that you have two identic... |
Revista Matemática Iberoamericana
Full-Text PDF (246 KB) | Metadata | Table of Contents | RMI summary
Volume 24, Issue 3, 2008, pp. 865–894 DOI: 10.4171/RMI/558
Published online: 2008-12-31
The real genus of the alternating groupsJosé Javier Etayo Gordejuela
[1]and Ernesto Martínez [2](1) Universidad Complutense de Mad... |
A small fact got me into trouble (spoiler: the intercept in effects coding represents the mean of conditions, not the data-mean).
Update 2016-08-11
I found a nice paper that remedies the last point: weighted effects coding
Update 2018-11-30
If you enjoyed reading this post, check out my sucessor post on Effect/Sum Codi... |
The combinatorics behind the rule: symmetric function theory
The Littlewood-Richardson and Pieri rules come up in symmetric function theory as well, and the combinatorics is much easier to deal with in this setting.
symmetric functionsin infinitely many variables $\newcommand{\PP}{\mathbb{P}}
\newcommand{\CC}{\mathbb{C... |
Abstract
Let $g$ be a scattering metric on a compact manifold $X$ with boundary, i.e., a smooth metric giving the interior $X^\circ$ the structure of a complete Riemannian manifold with asymptotically conic ends. An example is any compactly supported perturbation of the standard metric on $\mathrm{R}^n$. Consider the o... |
7.3 Tests for convergence
There are many different tests that can be used to determine whether a sequence or series converges. I'll briefly state three of the most useful, with sketches of their proofs.
Bounded and increasing sequences : A sequence that always increases, but neversurpasses a certain value, converges.
T... |
A few months ago I discussed my approach towards effective information processing. Filtering useful content from large amounts of data is perhaps the most difficult step in this process. Nowhere is the problem more pronounced than on the internet where there are 10 billion indexable pages. How can useful information be... |
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Now showing items 1-2 of 2
Search for new resonances in $W\gamma$ and $Z\gamma$ Final States in $pp$ Collisions at $\sqrt{s}=8\,\mathrm{TeV}$ with the ATLAS Detector
(Elsevier, 2014-11-10)
This letter presents a search for new resonances decaying to final states with a vector boson produced in association with a... |
I'm trying to develop a thermoelectric (Peltier tile-based) beverage cooling system. Ideally, I'd also like a device to solve the warm beer problem if the thermodynamics give me any confidence.
First, I'll detail my thought flow in the theory sense and then I'll get to my specific setup that I had in mind.
Obviously, i... |
Introduction:
Why is it that whenever balloons are inflated they converge towards the shape of a sphere regardless of their initial geometry?
On one level this may be a purely geometrical problem due to thermodynamic constraints on a body with finite surface area. This suggests the necessity of solving a global optimis... |
We organize a masterclass in Angers, from 17th to 19th of December, 2019.The organisation board will pay the housing with breakfast and the lunches. The dinners are not payed by the organizers. For the travel expenses, we will do our best in the limit of our budget.
Registration are closed as we have reached the limit ... |
The problem does not have a polynomial kernel unless NP is in coNP/poly. The cross-composition technique from our paper applies in a nontrivial way.
Let me show how the classic Vertex Cover problem OR-cross-composes into the k-FLIP-SAT problem; by the results in the cited paper, this is sufficient. Concretely, we build... |
Does it contradict the axioms of a field? I think not. If not so there need to be $a \in Z_7$ and so $3+a=0$ and $3\cdot a=1$ but I can not find this $a \in Z_7.$
If $a+b=0$, then $b=-a$. If simultaneously $1=ab$, then $1=-a^2$ which is equivalent to $a^2=-1$. This is possible in $\Bbb{Z}_p$, if and only if $p=2$ or $p... |
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astro-ph
Change to browse by: Bookmark(what is this?) Astrophysics > Cosmology and Nongalactic Astrophysics Title: Impact of kinetic and potential self-interactions on scalar dark matter
(Submitted on 3 Jun 2019 (v1), last revised 22 Aug 2019 (this version, v2))
Abstract: We consider models of s... |
There is a fun little fact regarding polynomials in two variables $x$ and $y$:
(To be more precise, this is true for polynomials over any field of characteristic not equal to $2$. For simplicity, in what follows we will assume that our polynomials have coefficients in $\mathbb{C}$.)
Recall that a polynomial $g$ is
symm... |
@HarryGindi So the $n$-simplices of $N(D^{op})$ are $Hom_{sCat}(\mathfrak{C}[n],D^{op})$. Are you using the fact that the whole simplicial set is the mapping simplicial object between cosimplicial simplicial categories, and taking the constant cosimplicial simplicial category in the right coordinate?
I guess I'm just v... |
GR9677 #31
Alternate Solutions
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Comments
Ryry013 2019-09-24 06:27:18 For choosing between D and E, you can imagine dropping a feather vs a ball in air. A feather goes slowly, a ball goes quickly, so mass matters. Choose E. (See the other user a... |
Basically 2 strings, $a>b$, which go into the first box and do division to output $b,r$ such that $a = bq + r$ and $r<b$, then you have to check for $r=0$ which returns $b$ if we are done, otherwise inputs $r,q$ into the division box..
There was a guy at my university who was convinced he had proven the Collatz Conject... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
11th SSC CGL Tier II level Question Set, topic Trigonometry 2
This is the 11th question set of 10 practice problem exercise for SSC CGL Tier II level exam and 2nd on topic Trigonometry.
We repeat the method of taking the test. It is important to follow result bearing methods even in practice test environment.
Method of... |
GR9277 #20
Problem \prob{20}
In a double-slit interference experiment, d is the distance between the centers of the slits and w is the width of the slit, as shown in the figure above. For incident plane waves, an interference maximum on a distant screen will be "missing" when
2d=w
2d=3w
3d=2w
Optics}Missing Fringes
Mis... |
Cox Proportional Hazards (CoxPH)¶ Note CoxPH is not yet supported in Python. It is supported in R and Flow only.
Cox proportional hazards models are the most widely used approach for modeling time to event data. As the name suggests, the
hazard function, which computes the instantaneous rate of an event occurrence and ... |
GR8677 #100
Alternate Solutions
casseverhart13 2019-07-16 13:39:56 Interesting and very rattling problem. Bookmarked. www.partnersairductcleaning.com/beverlyheights33301 Simplicio 2009-03-31 18:51:18 I would agree with hungrychemist and consider the order of magnitude.
The reasonably values I used are
,
(A) ≈
(B) : Goo... |
Abstract
In the unit ball $B(0,1)$, let $u$ and $\Omega$ (a domain in $\mathbb{R}^N$) solve the following overdetermined problem:
\[ \Delta u = \chi_{\Omega} \quad \mathrm{in}\; B(0,1),\qquad\qquad 0\; \in \partial\Omega, \qquad\qquad u = |\nabla u| = 0 \quad \mathrm{in}\; B(0,1) \backslash \Omega, \] where $\chi_\Omeg... |
Nineteenth SSC CGL level Question Set, topic Trigonometry 3
This is the nineteenth question set of 10 practice problem exercise for SSC CGL exam and 3rd on topic Trigonometry. Before taking the test you should go through the method for taking the test for general guidelines.
Method of taking the test for getting the be... |
What is a suitable model for two-wheeled robots? That is, what equations of motion describe the dynamics of a two-wheeled robot.
Model of varying fidelity are welcome. This includes non-linear models, as well as linearized models.
Robotics Stack Exchange is a question and answer site for professional robotic engineers,... |
Revista Matemática Iberoamericana
Full-Text PDF (1598 KB) | Metadata | Table of Contents | RMI summary
Volume 7, Issue 1, 1991, pp. 1–24 DOI: 10.4171/RMI/103
Published online: 1991-04-30
Pointwise and Spectral Control of Plate VibrationsAlain Haraux
[1]and Stéphane Jaffard [2](1) Université Pierre et Marie Curie, Paris... |
Kakeya problem
A
Kakeya set in [math]{\mathbb F}_3^n[/math] is a subset [math]E\subset{\mathbb F}_3^n[/math] that contains an algebraic line in every direction; that is, for every [math]d\in{\mathbb F}_3^n[/math], there exists [math]e\in{\mathbb F}_3^n[/math] such that [math]e,e+d,e+2d[/math] all lie in [math]E[/math].... |
First off, the fact that the board actually blocks the sun light going into the house may have cooled down the house itself (same effect as a solar screen). Since this question is about how the pressure and temperature will be changed after installing the Eco-Cooler air conditioner (the bottle board solely), I will giv... |
Abstract
The generalized Korteweg-de Vries equations are a class of Hamiltonian systems in infinite dimension derived from the KdV equation where the quadratic term is replaced by a higher order power term. These equations have two conservation laws in the energy space $H^1$ ($L^2$ norm and energy). We consider in this... |
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We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
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