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Would there be an interest in having more specialized chat rooms, like the one for homotopy theory that currently exists?
So far, the homotopy theory one seems to be fairly successful, and it seems that other topics might also enjoy a chat room like it.
Obviously, if such a chat room is to be useful, it will need to ha... | CommonCrawl |
The birds always behave in a consistent and predictable manner, in the sense that $x$'s response to hearing $y$ is always the same bird $xy$ regardless of the weather or time of day. This means that the operation $(x,y) \mapsto xy$ of saying $y$'s name to $x$ can be regarded as a mathematical function.
Definition: A fo... | CommonCrawl |
How do I generate cayley table for direct product of symmetric group $S_n$ and additive group of integers modulo $\mathbb Z/m\mathbb Z$ or $\mathbb Z_m$.
Use the cartesian_product and multiplication_table methods.
To figure out who are a, b, c, etc, list the elements of the group.
The multiplication table with elements... | CommonCrawl |
This is a question from the Graph Theory (Bondy & Murty) text which has me rather stumped.
(a) Formulate as a network flow problem the problem of determining whether a given pair $(p, q)$ is realizable by a simple bipartite graph.
For (a), we view each $x_i$ as a source and each $y_j$ as a sink and connect as follows (... | CommonCrawl |
One way to think about the SD is in terms of errors in prediction. Suppose I am going to generate a value of the random variable $X$, and I ask you to predict the value I am going to get. What should you use as your predictor?
A natural choice is $\mu_X$, the expectation of $X$. But you could choose any number $c$. The... | CommonCrawl |
We will see some instances of swindles in mathematics, primarily focusing on some in geometric topology due to Barry Mazur.
Casson invariant is defined for the class of oriented integral homology 3-spheres. It satisfies certain properties, and reduce to Rohlin invariant after mod 2. We will define Casson invariant as h... | CommonCrawl |
This formula uses the formula for the field due to a thin shell solenoid, integrated over a range of radii to obtain the magnetic field at any point on the axis of a finite.
n is the number of turns of wire per unit length in the solenoid.
r1 is the inner radius of the solenoid, in meters.
r2 is the outer radius of the... | CommonCrawl |
``Two Quaternion algebras over a number field $K$ are isomorphic iff they are ramified at the same number of places"
As detailed here, Hasse introduced an invariant, now known as the Hasse invariant in two papers (here and here) to classify central simple algebras.
Not the answer you're looking for? Browse other questi... | CommonCrawl |
I'm trying to understand what happens to the intensity and polarization of light that passes through a quarter-wave plate. I believe I know what happens when unpolarized light and linearly polarized light pass through. However, I'm not sure what happens when circularly polarized light passes through.
According to a lec... | CommonCrawl |
Titel: Error Estimates and Convergence Rates for Filtered Back Projection.
Abstract: We consider the approximation of target functions from fractional Sobolev spaces by the method of filtered back projection (FBP), which gives an inversion of the Radon transform. To this end, we analyze the intrinsic FBP approximation ... | CommonCrawl |
A jet is simulated on the background of a galactic wind headed by a radiative bow shock. The wind shell, which is due to the radiative bow shock, is effectively destroyed by the impact of the jet cocoon, thanks to Rayleigh-Taylor instabilities. Associated strong HI absorption, and possibly also molecular emission, in h... | CommonCrawl |
Which answer figure will complete the question figure ?
If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure ?
If 782 = 20 and 671= 17, then 884 = ?
5 $\times$ 6 $\times$ 4 = 456, 3 $\times$ 6 $\times$ 5 = 536, 4 $\times$ 8 $\times$ 7 = ?
A cyclist goes 30 km to ... | CommonCrawl |
The dot after the 0 in the first array results in an array of floating point numbers. Without it the entries would all be integers. A NumPy command similar to the built-in function range is the arange function. By default it creates an integer array.
Here are two ways to create a floating point array using the arange f... | CommonCrawl |
In the the last entry, I enthused about how much mileage we can get with a standard model object and a set of standard transformations thereof—and I haven't even gotten to Bayesian updating and hierarchical modeling, which will come next time.
In this entry, I'll present a demo implementation of a truncate-at-zero tran... | CommonCrawl |
Abstract. We prove rigorous lower and upper bounds for the mass gap of the ferromagnetic spin 1/2 XXZ chain. The two bounds coincide asymptotically in the Ising limit $\Delta\to\infty$. Near the isotropic point, $\Delta=1$, the estimates are good enough to determine the critical behaviour of the mass gap unambiguously.... | CommonCrawl |
Two closed vessel of equal volume contain air at 105 kPa, 300 K and are connected through narrow tube. If one of the vessel is now maintained at 300 K and other at 400 K what will be the pressure in the vessel?
I don't want the solution of this question but I want to know why the pressure will be same in both the vesse... | CommonCrawl |
We say that centrifugal force is fictitious, yet we still use it in some problems. If the centrifugal force is equal and opposite to the centripetal force wouldn't that make the net force zero?
The centrifugal force is a "fictitious force" that appears when working in a rotating coordinate system. Basically (together w... | CommonCrawl |
I know that if $f$ is continuous at one point then it is continuous at every point. From this i want to show that $f(x)=xf(1).$ Can anybody help me to proving this?
Look at $0$ first: $f(0)=f(0+0)=f(0)+f(0)$, so $f(0)=0=0\cdot f(1)$.
Use induction to prove that $f(n)=nf(1)$ for every positive integer $n$, and use $f(0)... | CommonCrawl |
Abstract: One of the main contributions of this paper is to illustrate how large deviation theory can be used to determine the equilibrium distribution of a basic droplet model that underlies a number of important models in material science and statistical mechanics. The model is simply defined. $K$ distinguishable par... | CommonCrawl |
In Part I of this article, I introduced the problem and the initial naive solution to it. In this part, I will discuss the random algorithm that was used to solve the problem, and the results we achieved using it. In Part I, I introduced the naive (master/worker) algorithm, and the first version of a distributed algori... | CommonCrawl |
CMS Collaboration; Canelli, Florencia; Kilminster, Benjamin; Aarestad, Thea; Brzhechko, Danyyl; Caminada, Lea; De Cosa, Annapaoloa; Del Burgo, Riccardo; Donato, Silvio; Galloni, Camilla; Hreus, Tomas; Leontsinis, Stefanos; Mikuni, Vinicius Massami; Neutelings, Izaak; Rauco, Giorgia; Robmann, Peter; Salerno, Daniel; Sch... | CommonCrawl |
Let $N$ and $M$ be two integers with $M\ge N\ge2$.
There is a list of altogether $M$ statements that is divided into three parts: the first part consists only of the first statement; the second part consists of the $N-1$ statements with numbers from $2$ up to $N$; the third (possibly empty) part consists of the remaini... | CommonCrawl |
A topological space $X$ such that every mapping $g\colon A\to X$ of any closed subset $A$ of an arbitrary normal space $Y$ can be extended to the entire space $Y$. A direct product of absolute retracts for normal spaces is an absolute retract for normal spaces, as is any retract (cf. Retract of a topological space) of ... | CommonCrawl |
Abstract: In this article it is proved that for any quasimetric $d$ on a set $X$ with a base-point $p_X$ there exists a maximal invariant extension $\hat\rho$ on the free monoid $F^a(X,\mathcal V)$ in a non-Burnside quasi-variety $\mathcal V$ of topological monoids (Theorem 6.1). This fact permits to prove that for any... | CommonCrawl |
Characteristics of sets on the real line. The least upper bound of a given set of real numbers is the smallest number bounding this set from above; its greatest lower bound is the largest number bounding it from below. This will now be restated in more detail. Let there be given a subset $X$ of the real numbers. A numb... | CommonCrawl |
I have been trying to make my way through the homotopy type theory book, slowly but surely, and I just finished reading this introductory series of 3 articles on hott on ScienceForAll.
I'm aware that we'd get stuck at something like uudd(0), but then I'm sure we could have more rules to swap the ups and downs around or... | CommonCrawl |
I am reading this paper below about optimal bid-ask spread in a market making strategy. It finds an approximation for optimal solution, but I cannot understand how it's practice to set the parameters for a sample stock (eg. AAPL). Assuming, I have this stock below, how I can find all the parameters for the optimal bid-... | CommonCrawl |
We obtain sufficient conditions for the differentiability of solutions to stationary Fokker--Planck--Kolmogorov equations with respect to a parameter. In particular, this gives conditions for the differentiability of stationary distributions of diffusion processes with respect to a parameter.
Keywords: Stationary Fokke... | CommonCrawl |
Let $G$ and $H$ be two topological groupoids. Suppose that I have two morphisms $G \rightrightarrows H$ and I want to take the 2-coequalizer of these maps. I'd like an explicit description of (a particular model for) this weak colimit. I can do this very easily for groupoids in SET by constructing a groupoid with objec... | CommonCrawl |
But this obviously does not work. In general, I'd like to be able to impose more constraints on the $x_i's$ when they're being sorted.
So basically we sort it the way it would be sorted with all subscripts == 1.
This has the advantage of not returning a (potentially) wrong answer if the sort order is uncertain.
Not the... | CommonCrawl |
Now we're ready to implement some complex data types that are useful in contests.
An abstract data type is just a data type that defined by its behavior from the perspective of the user. In other words, an abstract data type is only defined by what it does, not how it does what it does. You'll see what I mean in the fo... | CommonCrawl |
Abstract: We provide non-smooth atomic decompositions for Besov spaces $\Bd(\rn)$, $s>0$, $0<p,q\leq \infty$, defined via differences. The results are used to compute the trace of Besov spaces on the boundary $\Gamma$ of bounded Lipschitz domains $\Omega$ with smoothness $s$ restricted to $0<s<1$ and no further restric... | CommonCrawl |
I'm not sure if this is elementary math or something more advanced so I apologize ahead of time if I put htis in the wrong place.
I have a large pot that needs to be lined entirely with a teflon sheet.
The pot is 10" diameter, and 12" tall.
I need to know how to figure out what size square sheet I need to buy that will... | CommonCrawl |
We use a new compilation of the hadronic $R$-ratio from available data for the process $e^+e^-\to$ hadrons below the charm mass to determine the strong coupling $\alpha_s$, using finite-energy sum rules. Quoting our results at the $\tau$ mass to facilitate comparison to the results obtained from similar analyses of had... | CommonCrawl |
Recall that if $X$ and $Y$ are sets then a function $f : X \to Y$ is a rule which assigns to each $x \in X$ a unique $y \in Y$. We can more precisely define a function in terms of sets.
Definition: Let $X$ and $Y$ be sets. A Function from $X$ to $Y$ is a subset $f$ of $X \times Y$ such that for every $x \in X$ if $(x, ... | CommonCrawl |
Aims. Results obtained in very-high-energy (VHE; E >= 100 GeV) gamma-ray observations performed with the H.E.S.S. telescope array are used to investigate particle acceleration processes in the vicinity of the young massive stellar cluster Westerlund 1 (Wd 1). Methods. Imaging of Cherenkov light from gamma-ray induced p... | CommonCrawl |
Let us consider the flow in a flat channel around a cylinder at Reynolds number = 100, when self-oscillations occur leading to the detachment of vortices in the aft part of cylinder. In this problem it is necessary to calculate drag coefficient, lift coefficient and pressure difference in the frontal and aft part of th... | CommonCrawl |
Proof. We may and do replace $R$ by its localization at $\mathfrak p$. Then $\mathfrak p = \mathfrak m$ is the maximal ideal of $R$ and $A = R/I$. Let $f_1, \ldots , f_ r \in I$ be a minimal sequence of generators. The completion of $A$ is equal to $A^\wedge = R^\wedge /(f_1, \ldots , f_ r)R^\wedge $ because completion... | CommonCrawl |
Still bemused the sage went along to the local school which was deeply embroiled in GCSE investigations and once again stated his problem. 'That's a very interesting question,' said the teacher.
The moral of this story is that, as Humpty Dumpty once said, 'when I use a word, it means just what I want it to mean, and no... | CommonCrawl |
As far as I understood, implied volatility (IV) is a lucky parametrization of the vanilla option's price. That is, instead of deciding how much the call worth now, you can decide on its IV and put this in the Black-Scholes (BS) formula since all other inputs (underlying price, time to maturity etc.) are readily availab... | CommonCrawl |
Write a program to read in a visual description of a connect-the-dots puzzle, then connect the dots and print the result.
Input contains up to $100$ images. Each image is rectangular and has dots indicated by the symbols $0, 1, \ldots , 9$, a, b, …, z, A, B, …, Z. It is guaranteed that if any dot appears, then all prec... | CommonCrawl |
To get Mathjax support the easiest thing to do is to add the following to _include/themes/yourtheme/default.html where "yourtheme" is whichever theme you're currently using.
I'm sure there is a better way to do this so that you don't need to add this whenever you change themes but this is working for me for the time be... | CommonCrawl |
50 Does every real function have this weak continuity property?
17 $G$ a group, with $p$ a prime number, and $|G|=2^p-1$, is it abelian?
16 Does every real function have this weak derivation property?
7 If $f$ is continuous and $f(f(x))+f(x)+x=0$ for all $x$ in $\mathbb R^2$, then $f$ is linear?
5 A new characterizatio... | CommonCrawl |
In a BRDF $f_r$, assume Cook-Torrance model, we have a microfacets distribution $D$. This distribution essentially models the rougheness of the material as far as I've understood. Given a direction $v$ it models the amount of microfacets having that orientation.
Now say we have a material, for each point $p$ in theory ... | CommonCrawl |
How do I see LaTeX math on any web page and in email?
This is a follow up to this closed question.
I open a random page, such as something on arXiv at 8:05 p.m. EST, and I see all these dollar signs, and I sigh and I wish that I could see nicely formatted math formulas instead, just like on MO. Is it possible? Can one ... | CommonCrawl |
This number is called the Copeland–Erdős constant, and is known to be irrational and normal. I believe its transcendence or otherwise is an open problem. This source claims that it has been proved to be transcendental, but the paper they refer to is the one in which it was proved to be normal and so I think the source ... | CommonCrawl |
This problem is very simple stated. You are given a positive integer **X** and you want to compute its square. The good thing is that **X** consists only of **N** repetitions of the same digit. Sounds very simple, but the problem is that **X** can be very large here. In all subtasts, you have to handle at most $20$ tes... | CommonCrawl |
Let $x=x_0$. Thus $P(x_0)$ is given.
Let $y$ be arbitrary. So we have to prove $P(y)$.
$y$ being arbitarary means that either $y=x_0$ or $y\ne x_0$.
So now we prove $P(x_0) \lor P(z)$ where $z$ is arbitrary and $z\ne x_0$.
Is this correct ? If not what is wrong ?
Your proof is bad. You don't have $P(x_0)$ is given. You... | CommonCrawl |
Abstract : Optimal maps in $R^n$ to disconnected targets necessarily contain discontinuities (i.e. tears). But how smooth are these tears ? When the target components are suitably separated by hyperplanes, non-smooth versions of the implicit function theorem can be developed which show the tears are hypersurfaces given... | CommonCrawl |
After reading this question I was wondering whether mathematicians tried to invent better names for exceptional simple Lie groups $F_4, E_6, E_7, E_8$ ? These names seems a bit obscure and does not show that we have a series here of four groups. This series is of course different than infinite series $SO_n,SU_n,Sp_n$ (... | CommonCrawl |
Typesetting in wxMaxima1 IntroductionTo make your paper look as good as possible you should be familiar with the following: how to format text and create sections (and subsections, etc.), how to typeset equations, and how to incorporate graphics.... Typesetting rules for mathematics may depend on the specific field of ... | CommonCrawl |
We describe the asymptotic behavior as $t\to \infty$ of the solution of $u_t=\Delta_p u$ in $\R^N$, for $(2N+1)/(N+1)\le p < N$ and non-negative, integrable initial data. Optimal rates in $L^q$, $q=2-1/(p-1)$ for the convergence towards a self-similar profile corresponding to a solution with Dirac distribution initial ... | CommonCrawl |
Let $ X $ be an irreducible hypersurface given by a polynomial $ f \in K[[x_1, \ldots, x_d]][z] $, where $ K $ denotes an algebraically closed field of characteristic zero. The variety $ X $ is called quasi-ordinary with respect to the projection to the affine space defined by $ K[[x_1, \ldots, x_d]] $ if the discrimin... | CommonCrawl |
I am the chief wizard of computing at https://www.ncssm.edu, a nationally recognized magnet school for science and math that is a campus of The University of North Carolina.
I completed my undergraduate degree at Indiana University and my Ph. D at The University of Texas.
66 Why can ALL quadratic equations be solved by... | CommonCrawl |
I'm trying to simulate - via the Metropolis-Hastings algorithm - a sample $X$ of size 10000 from a density $f$ using a proposal distribution $g$.
A classical step after generating my sample X is to discard the first thousand values or so, so I only have $X_n$ with $n$ big enough such that $X_n$ approximately follows $f... | CommonCrawl |
Abstract: It is shown that the kernel of a Toeplitz operator with $2\times 2$ symbol $G$ can be described exactly in terms of any given function in a very wide class, its image under multiplication by $G$, and their left inverses, if the latter exist. As a consequence, under many circumstances the kernel of a block Toe... | CommonCrawl |
The next step is to construct a function space over the mesh.
We start by loading a Mesh in 2D.
You can print back the expression to the screen to check that everything is ok. You want to use as expression a*x+b*y, you have to define a and b as option (either in your code, either in the library).
then we compute the gr... | CommonCrawl |
a nonlocal SPS type equation in balls of $\mathbb R^3$ with Dirichlet boundary conditions.
which changes sign exactly $k$ times in the radial variable.
of radial global solutions for the associated nonlocal parabolic problem having $k+1$ nodal regions at every time. | CommonCrawl |
Once in a while, someone on Reddit asks for justification why everyone there hates PHP. I never reply, because there's too much to list in a comment, but maybe I can write a definitive post here.
Most recently updated: 7 Feb 2014, for new features in PHP 5.6.0a1.
A day like any other: In order to test that all the cate... | CommonCrawl |
position 10: if there are no degenerate conics.
position 9: if they are a pair of real lines.
position 7: if the only degenerate conic in the pencil is a double real line."
OK, I looked at the paper. I think the passage you are asking about is very confusingly written. What they appear to be saying is that for this spe... | CommonCrawl |
In India, there is a confusing term `non-bank financial company' (NBFC). This is an unfortunate phrase as the term, when taken literally, includes insurance companies, etc. In India, it denotes a $10 \times 2 \times 2$ classification of business models which are regulated by the RBI.
There is a lot of confusion in the ... | CommonCrawl |
where $c$ is the number of classes. SAXVSM is described formally in Algorithm 13.
Parameters $l$, $\alpha$ and $w$ are set through cross validation on the training data. Predictions are made using a 1-NN classification based on the word frequency distribution of the new case and the $tf\cdot idf$ vectors of each class.... | CommonCrawl |
How does real-time signal processing work when the signal we deal with is assumed to be known for all times?
One thing that never sat right with me after my signal processing course is that in order to do signal processing, we must know the entire signal $x(t)$.
For instance, I cannot take the Fourier or Z transform of... | CommonCrawl |
Precision timing detectors for high energy physics experiments with temporal resolutions of a few 10 ps are of pivotal importance to master the challenges posed by the highest energy particle accelerators. Calorimetric timing measurements have been a focus of recent research, enabled by exploiting the temporal coherenc... | CommonCrawl |
arXiv is an e-print service in the fields of physics, mathematics, computer science, quantitative biology, quantitative finance and statistics.
Abstract: As robots become more ubiquitous and capable, it becomes ever more important to enable untrained users to easily interact with them. Recently, this has led to study o... | CommonCrawl |
If $M = N = 64$, we'll have $64$ basis functions. These functions have two variables including $p$ and $q$. Now, to verify, I take the first basis function with $m = n = 0$. Clearly, this function changes with different values of $p$ and $q$. Why it's drawn with same color in the following image (the upper left gray sq... | CommonCrawl |
Abstract : Let $X$ be a compact connected Abelian group. It is well-known that then there exist topological automorphisms $\alpha_j, \beta_j $ of $X$ and independent random variables $\xi_1$ and $\xi_2$ with values in $X$ and distributions $\mu_1, \mu_2$ such that the linear forms $L_1 = \alpha_1\xi_1 + \alpha_2\xi_2$ ... | CommonCrawl |
What does this notation stand for when describing a code?
This code has appeared in some online course material.
$Z_2^5$ means that you are working in $GF(2)^5$.
$0 + 0 = 0\\ 0 + 1 = 1\\ 1 + 0 = 1\\ 1 + 1 = 0$ It is equivalent to XOR.
$0 \times 0 = 0\\ 0 \times 1 = 0\\ 1 \times 0 = 0\\ 1 \times 1 = 1$ It is equivalent ... | CommonCrawl |
DisturbLabel paper approach, yet another regularization technique prevents overfitting. Unlike other regularization methods such as weight decay, dropour, or DropConnect, DisturbLabel regularizes loss. The TLDR version of the CVPR 2016 paper is: deliberately add noise (wrong labels) to small portion the ground truth la... | CommonCrawl |
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." Thus Arthur Conan Doyle has Sherlock Holmes describe a crucial part of his method of solving detective cases. Sherlock Holmes often takes pride in adhering to principles of scientific reasoning. Whether or not this parti... | CommonCrawl |
What is the shortest string that contains all permutations of an alphabet?
What is the shortest string $S$ over an alphabet of size $n$, such that every permutation of the alphabet is a substring of $S$?
I thought of this problem while reading a open problem on shortest supersequence of all permutations.
Here are some ... | CommonCrawl |
On the Ground State Energy of the Translation Invariant Pauli-Fierz Model. II.
We determine the ground state energy of the translation invariant Pauli-Fierz model for an electron with spin, to subleading order $O(\alpha^2)$ with respect to powers of the finestructure constant $\alpha$ and prove rigorous error bounds of... | CommonCrawl |
Ideas for further contemplation from the blog post Determinant from Matrix Multiplication.
For $n \times n$ matrices, use the Laplace Expansion (which was probably how you learned to calculate determinants in school, anyway).
Derive a general formula for $n \times n$ matrices using Mathematical Induction.
Are there con... | CommonCrawl |
Please forgive my limited vocabulary, I'm not a math guru (yet) but I'm trying to solve a practical real-life challenge in a 3D scene I'm creating with PovRay.
Given a line going through x=0,y=0,z=0 in 3D Cartesian space. I know the angles the line has on the xz plane and the yz plane as they would be when viewing them... | CommonCrawl |
This is a generalization of Place 4x12 detainees on a 7x7 grid of cells.
there are an equal number of squares of each color.
For which values of $n$ is this possible?
This fills in all cells of the $n\times n$ square, uses each colour exactly the same number of times, and no two same-colour squares touch at edge or cor... | CommonCrawl |
I need to find all the sub-square matrices of a $4 \times 4$ matrix.
Then find the determinant of all $70$ of them.
I was directed to Sage but I know little about it. A simple program would be much appreciated.
Note: if you already figured out how to input a matrix, you would save potential answerers some time by putti... | CommonCrawl |
Abstract: Let $\mathcal K$ be a complete quasivariety of completely regular universal topological algebras of continuous signature $\mathcal E$ (which means that $\mathcal K$ is closed under taking subalgebras, Cartesian products, and includes all completely regular topological $\mathcal E$-algebras algebraically isomo... | CommonCrawl |
Topic modeling is an unsupervised machine learning method to discover abstract topics within a collection of unlabelled documents.
Each collection of documents (corpus) contains a "latent" or "hidden" structure of topics. Some topics are more prominent in the whole corpus, some less. In each document there are multiple... | CommonCrawl |
I want to compute the estimate of $\beta$ for a linear model $Y = X\beta + \varepsilon $ with $$\varepsilon \sim N_d(0, \sigma^2V),$$ where $V$ is a $d\times d$ definitive posive, symmetric matrix.
It is straightforward to generalize the theory of ordinary linear models (where $\varepsilon \sim N_d(0, \sigma^2I_d))$, t... | CommonCrawl |
In this talk, we prove that the stationary Swift-Hohenberg equation has chaotic dynamics on a critical energy level for a large (continuous) range of parameter values. The first step of the method relies on a computer assisted, rigorous, continuation method to prove the existence of a periodic orbit with certain geomet... | CommonCrawl |
Dr. James Coakley received his B. Eng. degree in Mechanical Engineering from University College Dublin. He earned his Ph.D. in Materials Science and Engineering at Imperial College London. After postdoctoral appointments at Imperial College London and at Oak Ridge National Laboratory, he was awarded a three year Marie ... | CommonCrawl |
Would it be possible to create an artificial iron star?
I ran a quick calculation, and the mass of iron required to form a black hole is on the order of 10^40kg. So, suppose that in my story there is this almost much iron available to somehow be brought together in one place, but the builders don't want to create a bla... | CommonCrawl |
I came up with a question to know the fatou component of of some types of rational function. In some sense, I may need to give a computational criterion to existence of attracting periodic basin for a rational function, which is related to Fatou's theorem.
I tried some examples , however, sometimes I can not find attra... | CommonCrawl |
Are f.g. projective modules (of constant rank) free over the ring $A$ which is the total quotient ring of a reduced non-Noetherian commutative ring. Note that dimension of $A$ need not be $0$.
I've posted an answer here.
I can give an example of ring $A$ which is reduced and every non-unit is a zero-divisor. It may be ... | CommonCrawl |
Flood-It is a popular one player game on many smart phones. The player is given an $n \times n$ board of tiles where each tile is given one of $6$ colours (numbered $1$–$6$). Each tile is connected to up to $4$ adjacent tiles in the North, South, East, and West directions. A tile is connected to the origin (the tile in... | CommonCrawl |
meaning of $\mathcal O(-1)$ in algebraic geometry?
In quantum field theory, multi-loop Feynman integrals are basic ingredients of calculating high order corrections. Recently, I have come across the paper A Feynman integral via higher normal functions. It seems that Feynman integrals have some relations to algebraic ge... | CommonCrawl |
Steady states to this generalized TASEP?
We have a one-dimensional lattice of length $n$ populated with particles($p_1,p_2,p_3$ in this case) that hop to the right, but only if the neighboring cell contains no particle($p_1$ may hop, but $p_2$ may not). Each particle independently waits a random amount of (continuous-)... | CommonCrawl |
Why would the value of a call option go infinity as volatility goes to infinity?
I understand how you could solve this question by taking $\sigma \rightarrow \infty$ in the solution to the black scholes equation. However, I cannot understand this on a more heuristic level. Surely as volatility goes to infinity you also... | CommonCrawl |
I decided to try out day-time usage on 2 consecutive days, taking the 100mg at noon or 1 PM. On both days, I thought I did feel more energetic but nothing extraordinary (maybe not even as strong as the nicotine), and I had trouble falling asleep on Halloween, thinking about the meta-ethics essay I had been writing dili... | CommonCrawl |
Central heating plants are often used on large building complexes such as university campuses or military bases. Utilidors can be used to contain heat distribution lines and other utilities between a utility station and serviced buildings. Traditional thermal analysis of utilidors is one-dimensional, with heat transfer... | CommonCrawl |
Definition at line 31 of file Block.php.
Create a new block with specified parameters on a user, IP or IP range.
Definition at line 131 of file Block.php.
References $options, DB_REPLICA, isAutoblocking(), isCreateAccountBlocked(), isEmailBlocked(), isHardblock(), isSitewide(), isUsertalkEditAllowed(), User\newFromId()... | CommonCrawl |
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
Functional characterization of local correlation matrices?
Can the characteristic function of a Borel set be approached by a sequence of continuous function through a certain convergence in $L^\infty$?
Is every... | CommonCrawl |
A short introduction to Sullivan models, with the Sullivan model of a free loop space and the detailed proof of Vigué-Sullivan theorem on the Betti numbers of free loop space. Workshop on free loop space à Strasbourg, November 2008, scanned notes.
Exposé dans le cadre des Journées d'Algèbre "Dualité et structures BV en... | CommonCrawl |
I have come to think that answers that clearly required less than ten minutes of processing from the part of the answerer should be just left unposted. There are a few hit-and-run-operators that make me want to introduce rate limitations for answerers as well. 6 per day, 50 per month is generous enough. Focus on qualit... | CommonCrawl |
You are working as a guide on a tour bus for retired people, and today you have taken your regular Nordic seniors to The Gate of Heavenly Peace. You let them have a lunch break where they could do whatever they like. Now you have to get them back to the bus, but they are all walking in random directions. You try to int... | CommonCrawl |
We study an ultracold atom-cavity coupling system.The model is described by a noninteracting Bose-Einstein condensate contained in a Fabry-Pérot optical resonator,in which two incommensurate standing-wave modes are excited and thus form a quasiperiodic optical lattice potential for the atoms.Constant external force whi... | CommonCrawl |
I live in Bozeman, Montana, as an assistant professor of mathematics at Montana State University. Previously, I was a postdoc at the University of Southern California, Harvard University, and the University of Copenhagen. I received my PhD through Stanford University under the supervision of Ralph Cohen.
See my abbrevi... | CommonCrawl |
Authors of accepted papers should read Final Manuscripts below.
Authors who wish to present their work at ITW2014 must submit manuscripts with a concise description of their work. Submitted manuscripts should be of sufficient depth for review by experts in the field. A submission should contain a clear presentation of ... | CommonCrawl |
BJT stands for Bipolar Junction Transistor. It is a three-terminal electronic device constructed of doped semiconductor material and may be used in amplifying or switching applications.
Why Emitter current increases with increase in collector to base voltage in common base configuration of a BJT?
Why base emitter volta... | CommonCrawl |
Paper summary davidstutz Sharma and Chen provide an experimental comparison of different state-of-the-art attacks against the adversarial training defense by Madry et al. . They consider several attacks, including the Carlini Wagner attacks , elastic net attacks as well as projected gradient descent . Their experiment... | CommonCrawl |
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