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From the image below, A is an open bezier curve with it's points positioned to represent a circle. AP3 and AP1 have the same position. From B, How can I move the points (AP1 and AP3 along the bigger circle of radius r whiles the CP's reduce in length as CP1 and CP4 also rotate) till they form a symmetric bezier curve a... | CommonCrawl |
Question - A Roulette wheel is divided into 36 sectors. Each sector is assigned a random number from 1 to 36. Show that there are three consecutive sectors such that the sum of their assigned numbers is at least 56.
Let $a_1, a_2, \ldots, a_n$ be the numbers assigned to the 1st, 2nd, ..., nth sectors respectively. Assu... | CommonCrawl |
Why is $\vert \phi \vert ^2$ infinite in QFT?
Suppose for instance that $\phi$ is the real Klein-Gordon field. As I understand it, $a^\dagger(k)|0\rangle=|k\rangle$ represents the state of a particle with momentum $k\,.$ I also learned that $\phi^\dagger(x)$ acts on the vacuum $\phi(x)^\dagger|0\rangle\,,$ creating a p... | CommonCrawl |
We consider the problem of obtaining an approximate maximum a posteriori estimate of a discrete random field characterized by pairwise potentials that form a truncated convex model. For this problem, we propose two st-mincut based move making algorithms which we call Range Swap and Range Expansion. Our algorithms can b... | CommonCrawl |
The factorial of $N$, written as $N!$, is defined as the product of all the integers from $1$ to $N$. For example, $3! = 1 \times 2 \times 3 = 6$.
This number can be very large, so instead of computing the entire product, just compute the last digit of $N!$ (when $N!$ is written in base $10$).
The first line of input c... | CommonCrawl |
for events the day of Monday, January 29, 2018.
Abstract: The computation of the pointed endomorphisms of $\mathbb P^1$ gives a first approximation to the zeroth stable homotopy group of the motivic sphere. In this introductory talk, following Cazanave, I'll give some examples of a basic construction which associates a... | CommonCrawl |
Factoring polynomial is an action in which polynomial is represented as a product of simpler polynomials that cannot be further factored.
In this lesson we will sometimes use complex numbers so it would be great if you are familiar with them but it is not necessary. If you are not familiar with complex numbers you can ... | CommonCrawl |
We begin by talking about probability measure preserving actions of discrete groups, and introduce the notion of the Group Measure Space construction, or the cross product von Neumann algebra. We will then discuss about free and ergodic actions and the measurable functions fixed by these. We will conclude by presenting... | CommonCrawl |
Common Core: 4.OA.1, 4.OA.3, 4.OA.5, 4.NBT.5, 5.OA.2, 5.OA.3, 6.RP.1, 6.EE.1, MP1, MP2, MP3, MP6, MP7, MP8.
This is a great puzzle for kids who have some comfort with multiplication but still need to deepen their understanding. It gets them looking at the multiplication table with purpose, and they'll find some serious... | CommonCrawl |
Format: MarkdownItexadded a new Examples-section <a href="http://ncatlab.org/nlab/show/fiber+sequence#Integralreal">Integral versus real cohomology</a> to [[fiber sequence]] (and renamed the original [[fibration sequence]] and made it a redirect to that -- but the cache bug is in the way,as usual).
(and renamed the ori... | CommonCrawl |
Frequently it is useful do deal with countable transitive models M of ZFC, for example in forcing constructions.
The notion of being an ordinal is absolute for any transitive model, so certainly if ($\alpha$ is an ordinal)M then also $\alpha$ is an ordinal. For the same reason, M will contain successors of every ordina... | CommonCrawl |
Task 1: Find the maximum value of $n$ for which it is possible to create a regular uniquely-solvable Killer Sudoku (9x9) such that every cage has atleast $n$ cells in it.
Each row, column, and nonet contains each number exactly once.
The sum of all numbers in a cage must match the small number printed in its corner.
No... | CommonCrawl |
We define Landau-Lifshitz sigma models on general coset space $G/H$, with $H$ a maximal stability sub-group of $G$. These are non-relativistic models that have $G$-valued N\"other charges, local $H$ invariance and are classically integrable. Using this definition, we construct the $PSU(2,2|4)/PS(U(2|2)^2)$ Landau-Lifsh... | CommonCrawl |
Deduplication systems for traditional backups have optimized for large sequential writes and reads. Over time, new applications have resulted in nonsequential accesses, patterns reminiscent of primary storage systems. The Data Domain File System (\ddfs) needs to evolve to support these modern workloads by providing hig... | CommonCrawl |
I've been reading a lot lately about the differences between Fisher's method of hypothesis testing and the Neyman-Pearson school of thought.
My question is, ignoring philosophical objections for a moment; when should we use the Fisher's approach of statistical modelling and when should be use the Neyman-Pearson method ... | CommonCrawl |
Why does adding PKCS#1 v1.5 padding make RSA encryption non-deterministic?
I'm quite a beginner to cryptography, but have been implementing some encryption according to a specification over the last few weeks using the PyCrypto library.
I've discovered that when encrypting using RSA public keys alone, encryption appear... | CommonCrawl |
1 . In question, select the related word/letters/number from the given alternatives.
AEJ : 61 : : JKL : ?
In an imaginary operation of mathematics, '+' means multiply, '$\times$' means subtract, '$\div$' means add and '-' means divide. In this operation of mathematics all other rules are same as in present system. Whic... | CommonCrawl |
The Riemann mapping theorem (cf e.g. http://en.wikipedia.org/wiki/Riemann_mapping_theorem) essentially guarantees the existence of a biholomorphic mapping of a simply connected, open subset of the complex plane onto the unit disk.
Are there any results known about length-preserving mappings from simply connected, open ... | CommonCrawl |
The usually quoted value of the fine structure constant is 1/137.0359... This value holds at low energies. As is well known, this value increases somewhat with energy: it is about 1/128 at (M_Z)^2. Now, IF we imagine that there is no GUT, no physics beyond the standard model, no supersymmetry, and that QED is correct a... | CommonCrawl |
Abstract: The most general chiral Lagrangian for electroweak interactions with the complete set of $SU(2)_L\times U(1)_Y$ invariant operators up to dimension four is considered. The two-point and three-point functions with external gauge fields are derived from this effective chiral Lagrangian to one-loop order in a ge... | CommonCrawl |
Abstract: T-duality is used to extract information on an instanton of zero size in the $E_8\times E_8$ heterotic string. We discuss the possibility of the appearance of a tensionless anti-self-dual non-critical string through an implementation of the mechanism suggested by Strominger of two coincident 5-branes. It is a... | CommonCrawl |
Browse other questions tagged power-series absolute-value p-adic-number-theory valuation-theory or ask your own question.
$p$-adic field with infinite residue field.
Can one define the $p$-adic exponential function $\exp_p (x)$ as the limit of $(1 + x/n)^n$ when $n\to\infty$? | CommonCrawl |
How to draw a lattice for the divisors of big numbers?
An exercise ask to find atoms and join-irreducible elements for the set of divisors of 360. I know how to find them by drawing the lattice but it seems difficult in this case.
Is there another way to find atoms? If not, is there a easy way to draw such a lattice?
L... | CommonCrawl |
For questions concerning random matrices.
Let $U$ be a random $n \times n$ unitary matrix (w.r.t. the Haar measure) and let $M$ be a $k \times l$ submatrix. What is the distribution of the singular values of $M$?
What does this physics paper mean by having a matrix in a denominator?
Are these random matrix processes eq... | CommonCrawl |
The generation and evolution of microjets are studied both experimentally and numerically. The jets are generated by focusing a laser pulse into a microscopic capillary tube ($\sim$50 $\mu$m) filled with water-based red dye. A vapor bubble is created instantly after shooting the laser ($<$1 $\mu$s), sending out a shock... | CommonCrawl |
The game of Nimble is played as follows. You have a game board consisting of a line of squares labelled by the nonnegative integers. A finite number of coins are placed on the squares, with possibly more than one coin on a square. A move consists of picking up one of the coins and placing it on a square somewhere to th... | CommonCrawl |
We consider a random walk with finite second moment which drifts to $-\infty$ and has a heavy tail. We focus on the events when the minimum and the final value of this walk belong to some compact set. We first specify the associated probability. Then, conditionally on such an event, we finely describe the trajectory of... | CommonCrawl |
Recall from the Linear Lagrange Interpolating Polynomials page that given two points, $(x_0, y_0)$ and $(x_1, y_1)$ where $x_0$ and $x_1$ are distinct, we can construct a line $P_1$ that passes through these points. We also saw that we could approximate a function with this line that also passes through these two point... | CommonCrawl |
In a first part, we prove Bernstein-type deviation inequalities for bifurcating Markov chains (BMC) under a geometric ergodicity assumption, completing former results of Guyon and Bitseki Penda, Djellout and Guillin. These preliminary results are the key ingredient to implement nonparametric wavelet thresholding estima... | CommonCrawl |
I am interested in magic tricks whose explanation requires deep mathematics. The trick should be one that would actually appeal to a layman. An example is the following: the magician asks Alice to choose two integers between 1 and 50 and add them. Then add the largest two of the three integers at hand. Then add the lar... | CommonCrawl |
In WolframAlpha I was playing around with the values of the sequence defined by the integral and noticed that the values seem to get arbitrarily close to 1. I guess the difficulty is finding a closed expression for the value of the definite integral.
Split the integral in two parts, one in $[0,1]$ and the second one in... | CommonCrawl |
Is there a proof of the Johnson-Lindenstrauss Lemma that can be explained to an undergraduate ?
Is there a proof of the JL Lemma that isn't "geometric" ?
It's a little odd to even ask the question, considering the intrinsic geometric nature of the lemma. But there's a reasonably straightforward way of seeing how the bo... | CommonCrawl |
Nature photographing may be fun for tourists, but it is one of the most complicated things for photographers. To capture all the facets of a bird, you might need more than one cameras. You recently encountered such a situation. There are $n$ photographers, so there are $n$ cameras in a line on the x-axis. All the camer... | CommonCrawl |
The linear function is arguably the most important function in mathematics. It's one of the easiest functions to understand, and it often shows up when you least expect it. Because it is so nice, we often simplify more complicated functions into linear functions in order to understand aspects of the complicated functio... | CommonCrawl |
Given a knapsack of some capacity $C$ and $n$ objects with object $i$ having weight $w_i$ and profit $p_i$, the goal is to choose some subset of the objects that can fit in the knapsack (i.e. the sum of their weights is no more than $C$) while maximizing profit.
$x$ is a vector is size $n$ where $x_i$ is one if we chos... | CommonCrawl |
I recently noticed that Oxford's computer science department has started offering a grad course on Categorical quantum mechanics. Apparently they say that it is relevant for the study of quantum foundations and quantum information, and that it uses paradigms from category theory.
How exactly does it help in the study o... | CommonCrawl |
In carrying out continuous spline interpolation of a function,derivatives of the function at some points are always needed.However, in the real world situation, not only that it may be difficult to compute the derivatives of a function, the derivatives may not even exist at some points. In such a situation, the usual c... | CommonCrawl |
Discuss with your partner how Lin's method is similar to and different from drawing base-ten diagrams or using the partial quotients method.
Lin subtracted $ 3 \boldcdot 2,$ then $3 \boldcdot 1$, and lastly $3 \boldcdot 9$. Earlier, Andre subtracted $3 \boldcdot 200,$ then $3 \boldcdot 10$, and lastly $3 \boldcdot 9$. ... | CommonCrawl |
In conditionally heteroskedastic models, the optimal prediction of powers, or logarithms, of the absolute process has a simple expression in terms of the volatility process and an expectation involving the independent process. A standard procedure for estimating this prediction is to estimate the volatility by gaussian... | CommonCrawl |
As example above, the polynomial X^8 + X^6 + X^5 + X + 1 is one of irreducible polynomial defining the finite field GF(2^8).
How can I get all the irreducible polynomial which can define the finite field GF(2^8)?
What you are looking for is the list of all degree-8 irreducible polynomials over $\mathbb F_2$. There is n... | CommonCrawl |
Step-by-step interactive example for calculating standard deviation First, we need a data set to work with. Let's pick something small so we don't get overwhelmed by the number of data points.... For example, the standard deviation of a sample can be used to approximate the standard deviation of a population. Finding a... | CommonCrawl |
We discuss the problem to count, or, more modestly, to estimate the number f(m,n) of unimodular triangulations of the planar grid of size $m\times n$. Among other tools, we employ recursions that allow one to compute the (huge) number of triangulations for small m and rather large n by dynamic programming; we show that... | CommonCrawl |
Bores are a well known phenomena in fluid mechanics, although their occurrence in nature is relatively rare. The circumstances in which they occur is usually when a tidal swell causes a difference in surface elevation in the mouth of a river, or narrow bay, causing long waves to propagate upstream. The term 'tidal bore... | CommonCrawl |
Abstract: We consider the free 2-step nilpotent Lie algebra and its cohomology ring. The homotopy transfer induces a homotopy commutative algebra on its cohomology ring which we describe. We show that this cohomology is generated in degree 1 as $C_\infty$-algebra only by the induced binary and ternary operations. | CommonCrawl |
We propose and theoretically investigate an very attractive novel magnetic tunnel junction (MTJ) Fe(001)/O/NaCl(001)/O/Fe(001) for spintronics. Due to the presence of the single p(1$\times$1)O layer between Fe electrode and NaCl insulator, the interfacial strain can be full released. Therefore, area perfectly ordered N... | CommonCrawl |
How many steps does it take the computer to solve a Sudoku puzzle?
We all know what Sudoku is. Given a Sudoku puzzle, one can use a simple recursive procedure to solve it using a computer. Before describing the algorithm, we make some definitions.
A partial solution is a Sudoku puzzle with only some of the numbers ente... | CommonCrawl |
Assume a folder named Test on the desktop. In this Test folder, there is another folder named Survey reports. In the Survey report folder, there are multiple Excel files. All the Excel files have the same structure i.e. if there is an Operator Names in cell C9 of one Excel file, then in other Excel files as well, there... | CommonCrawl |
Recall from The Lebesgue Number Lemma page that if $(X, d)$ is a metric space that is also a BW space then for every open cover $\mathcal F$ of $X$ there exists an $\epsilon > 0$ called a Lebesgue number such that for all $x \in X$ there exists a $U \in \mathcal F$ such that $B(x, \epsilon) \subseteq U$.
We used this v... | CommonCrawl |
For a vanilla option, I know that the probability of the option expiring in the money is simply the delta of the option... but how would I calculate the probability, without doing monte carlo, of the underlying touching the strike at some time at or before maturity?
Case 2) The drift is $vt$, where $v$ is a constant.
A... | CommonCrawl |
"Exact Asymptotics of the Optimal Lp-error of Asymmetric Linear Spline " by Vladyslav Babenko, Yuliya Babenko et al.
In this paper we study the best asymmetric (sometimes also called penalized or sign-sensitive) approximation in the metrics of the space $L_p$, $1\leqslant p\leqslant\infty$, of functions $f\in C^2\left(... | CommonCrawl |
Over the past six months, I've been working with people at NCSA (National Center for Supercomputing Applications) and Thomas Lucas Productions to produce a 2-minute segment for their upcoming planetarium show, Solar Superstorms. They visualized one of my simulations of the first galaxies and another of a supernova from... | CommonCrawl |
Is graphical method the best way to solve convolution questions whether they be discrete or continuous?
for all other values $n$ is $0$.
Please tell me how can I solve this question?
Graphical evaluation of convolution (flip n drag) is a very useful, helpful and indipensible method which aids in a very quick visual ant... | CommonCrawl |
Abstract: We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry as a guide to map various well-known fermionic and spin SPTs to a Kitaev chain with coupl... | CommonCrawl |
In the extant books of Diophantus, are considered in the system of equations. Of interest is the non-linear system of Diophantine equations. Some simple systems from his book manages to solve it.
But there is in the books such a group of tasks which are of the same type. The conditions are very similar. It is conceivab... | CommonCrawl |
Gaussian Fluctuations of Eigenvalues in Wigner Random Matrices - Mathematics > Probability - Download this document for free, or read online. Document in PDF available to download.
Abstract: We study the fluctuations of eigenvalues from a class of Wigner randommatrices that generalize the Gaussian orthogonal ensemble. ... | CommonCrawl |
We show that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the $L_\infty$-algebra introduced by Oh-Park (for symplectic manifolds) and Cattaneo-Felder. In the symplectic case, we recover results previously obtained by Oh-Park. Moreover we consider the extended de... | CommonCrawl |
You are given a cyclic array that consists of $n$ values. Each element has two neighbors; the elements at positions $n$ and $1$ are also neighbors.
Your task is to divide the array into subarrays so that the sum of each subarray is at most $k$. What is the minimum number of subarrays?
The first input line contains inte... | CommonCrawl |
Proceedings of the 2017 Conference on Learning Theory, PMLR 65:151-168, 2017.
In the differentially private top-$k$ selection problem, we are given a dataset $X ∈\pmo^n \times d$, in which each row belongs to an individual and each column corresponds to some binary attribute, and our goal is to find a set of $k ≪d$ col... | CommonCrawl |
Reject the null hypothesis if the observed $z$ falls in one of the two most extreme $\alpha$ / 2 areas of the standard normal distribution. In order to find the critical values $z^*$ and $-z^*$ that correspond to these tail areas, look for the $z$ value that has area $\alpha$ / 2 to the right of it (this is $z^*$) and ... | CommonCrawl |
Is there in ZFC a topological space which is normal, ccc, countably compact, first countable and non-compact?
I am looking for a space as in the title and since many very similar spaces do exist in the literature, I wonder whether someone has a reference (different from the ones I cite below) or just some remarks about... | CommonCrawl |
There is a simple approximate rule of thumb used by investors and accountants to estimate the time taken in years, $n$; for an investment to double with an interest rate of $R%$; or indeed for a debt to double if left unpaid. One simply divides $72$ by $R$ to estimate the time in years.
Fairly early in your study of al... | CommonCrawl |
We have introduced the basic ideas about neuronal networks in the previous chapter of our tutorial.
We pointed out the similarity between neurons and neural networks in biology. We also introduced very small articial neural networks and introduced decision boundaries and the XOR problem.
The focus in our previous chapt... | CommonCrawl |
My question is about finite model theory/descriptive complexity, so $FO(R)$ will mean "first order over finite binary words, using predicates Rs and a unary predicate P true on the position of the 1 in the word".
I would like to know, are there any caracterisation of $FO(<,R)$ with R any predicate on $\mathbb N^r$ for ... | CommonCrawl |
You are given two of each from the array of 8 vegetables numbered 1 to 8 as shown above. So in total you have 16 veggies(8 pairs). Your task is to make the longest kebab (sequence of vegetables arranged linearly) such that the number of vegetable between any pair of vegetables should match exactly to the number written... | CommonCrawl |
Suppose $x_1,x_2,...,x_6$ are non-negative Independent and identically-distributed random variables, is it true that $P(x_1+x_2+x_3+x_4+x_5+x_6 \lt 3\delta) \lt 2P(x_1 \lt \delta)$ for any $\delta \gt 0$?
$(p^4)(10p^2-24p+15)$. I then plugged $2p-(p^4)(10p^2-24p+15)$ into R and got a function that looks always non-nege... | CommonCrawl |
The next generation of cosmic microwave background (CMB) experiments, such as CMB-S4, will require large arrays of multi-chroic, polarisation-sensitive pixels. Arrays of lumped-element kinetic inductance detectors (LEKIDs) optically coupled through an antenna and transmission line structure are a promising candidate fo... | CommonCrawl |
Lemma 15.96.5. Let $G$ be a finite group acting on a ring $R$. For any two primes $\mathfrak q, \mathfrak q' \subset R$ lying over the same prime in $R^ G$ there exists a $\sigma \in G$ with $\sigma (\mathfrak q) = \mathfrak q'$.
In order to prevent bots from posting comments, we would like you to prove that you are hu... | CommonCrawl |
If you are reading this. I am honored.
3 What to do when someone copies and pastes a 2 year old question as their own?
13 Is $1 = = [] = [[[ 1 ]]], \ldots$?
8 Is there a mathematical notation of indexing a matrix?
8 derivative with respect to constant.
7 Where does the CPU get its first instructions from? | CommonCrawl |
We are given an array with $n$ numbers: $a[0 \dots n-1]$. The task is to find the longest, strictly increasing, subsequence in $a$.
In this article we discuss multiple algorithms for solving this task. Also we will discuss some other problems, that can be reduced to this problem.
Dynamic programming is a very general t... | CommonCrawl |
I had an matrix ((2,1,1),(-11,4,5),(-1,1-0)) I got the eigen values to be -1,1,2 for the eigenvalue -1 I got an eigenvector (0,1,-1) on the answers it says the answer is (0,-1,1). Is there an actual difference?
and thus $\alpha v$ is also an eigenvector with eigenvalue $\lambda$. Since $\alpha$ is any scalar, if you le... | CommonCrawl |
Suppose the Universe was non-relativistic so time and space would be independent of each other. In other words, both of them separately would be absolute and independent of an observer's motion (unlike the absolute spacetime in relativity).
Above that, let's suppose the speed of light is infinite. Would the kind of cau... | CommonCrawl |
It has been shown previously that immune cells produce cytokines such as interleukin-1$\beta$ (IL-1$\beta$) and tumor necrosis factor $\alpha$ (TNF$\alpha$) which can signal the central nervous system and result in immune suppression. It has been demonstrated in our lab that an immune challenge, bacterial lipopolysacch... | CommonCrawl |
There are 9 square feet in a square yard.
We know that $1~yd = 3~ft$ We can find the number of square feet in a square yard. $1~yd^2 = 1~yd \times 1~yd$ $1~yd^2 = 3~ft\times 3~ft$ $1~yd^2 = 9~ft^2$ There are 9 square feet in a square yard. In the diagram, we can see that a square yard contains 9 square feet. | CommonCrawl |
In this paper we analyse the behaviour of a pile-up of vertically periodic walls of edge dislocations at an obstacle, represented by a locked dislocation wall. Starting from a continuum non-local energy $E_\gamma$ modelling the interactions$-$at a typical length-scale of $1/\gamma$$-$of the walls subjected to a constan... | CommonCrawl |
Fish oil contains omega-3 fatty-acids that help us to maintain proper immune and inflammatory responses to the demands of daily life.
Hold on…what are the 'essential fats'?
The essential fats are two, relatively common fats found in the diet. The essential 'omega-6' fat is linoleic acid, found in abundance in the moder... | CommonCrawl |
Over the past years a lot of progress has been made in the understanding of single spin asymmetries in hard scattering processes. We briefly review this subject, covering the non-vanishing of time-reversal odd parton distributions, universality of fragmentation functions, and the discovery of previously unknown time-re... | CommonCrawl |
Abstract : This paper presents a robust observer-based $H_\infty$ controller design method via LMIs for a class of switched discrete-time linear systems with $l_2$-bounded disturbances and parameter uncertainties. The main contribution of this paper consists in a new and judicious use of the slack variables coming from... | CommonCrawl |
Let $ A $ be a positive definite matrix and let $ D $ be a positive diagonal matrix with entries on the main diagonal: $ d_1,d_2,...,d_n $, both $ A $ and $ D $ have the same dimension $ n \times n $. I was interested in understanding how the eigenvalues of the sum $ A + ADA $ qualitatively behave with respect to the e... | CommonCrawl |
Why is an entangled qubit shown at the origin of a Bloch sphere?
I'm unclear why the Bloch sphere representation of a maximally entangled qubit shows the state of the bit as being at the origin of the sphere.
over time, with $q_0$ on the left and $q_1$ on the right. Both qubits end up at the origin of their respective ... | CommonCrawl |
The talk is a review of the current status of the field, which is very much in flux. Two central topics will be: (i) applications of AdS/CFT (both static finite T and dynamical) and (ii) electric-magnetic duality and the role of magnetic objects in sQGP.
We provide an overview of our present knowledge of the phase diag... | CommonCrawl |
This thesis aims to extend some of the results of the Graph Minors Project of Robertson and Seymour to "group-labelled graphs". Let $\Gamma$ be a group. A $\Gamma$-labelled graph is an oriented graph with its edges labelled from $\Gamma$, and is thus a generalization of a signed graph. Our primary result is a generaliz... | CommonCrawl |
Given the input and the output, how to determine the impulse response?
I know that $y[t]=x[t]*h[t]$, but I am having hard time to figure out the right way to calculate the impulse response. I know very little about signal processing, so if you don't mind giving an easy explanation, then I appreciate it. Or, if it's pos... | CommonCrawl |
The Pythagorean theorem has already been proved and it is a basic fact of math. It always works, and there are proofs of it. But I have found a problem.
Say you want to get from point A to point B.
Here is a way to do it, where red is vertical movement and grey is horizontal movement.
And if you continue forever, the p... | CommonCrawl |
Use this tag for questions about the board on which the game of chess is played.
Minimum number of dominoes on an $n \times n$ chessboard to prevent placement of another domino.
Method for finding all the solutions of the $n$ queens problem for a given $n$?
Determine numbers written on a chessboard with the fewest numb... | CommonCrawl |
While it is interesting that many Markov Chains are reversible, the examples that we have seen so far haven't explained what we get by reversing a chain. After all, if it looks the same running forwards as it does backwards, why not just run it forwards? Why bother with reversibility?
It turns out that reversing Markov... | CommonCrawl |
$K^\bullet $ is $m$-pseudo-coherent as a complex of $A$-modules.
The same equivalence holds for pseudo-coherence.
Proof. Assume (1). Choose a bounded complex of finite free $B$-modules $E^\bullet $ and a map $\alpha : E^\bullet \to K^\bullet $ which is an isomorphism on cohomology in degrees $> m$ and a surjection in d... | CommonCrawl |
Tears dripped from my face as I stood over the bathroom sink. Exposed again! The tears melted into thoughts, and an idea formed in my head. This will surely keep my secrets safe, once and for all. I crept back to my computer and began to type.
Notice that the values iPmQ and iQmP are not removed when constructing the p... | CommonCrawl |
The proper divisors of a positive integer, $n$, are all the divisors excluding $n$ itself. For example, the proper divisors of $6$ are $1, 2,$ and $3$.
A number, $n$, is said to be multiplicatively perfect if the product of its proper divisors equals $n$. The smallest such example is six: $6 = 1 \times 2 \times 3$ the ... | CommonCrawl |
This workshop, sponsored by AIM and the NSF, will focus on the theory of Toeplitz matrices (TM) and Wiener-Hopf operators (WHO).
In the recent ten or so years, the theory of these operators (TM and WHO) attracted a great deal of renewed attention from mathematical and theoretical physics communities due to the mathemat... | CommonCrawl |
Abstract. In this paper we consider aperiodic ergodic Markov chains with transition probabilities exponentially small in a large parameter $\b$ . We extend to the general not necessarily reversible case the analysis started in [OS] of the first exit problem from a general domain $Q$ containing many stable equilibria (a... | CommonCrawl |
"Image Zooming Using Corner Matching" by Ronald Marsh, Md Nurul Amin et al.
This work was intended to direct the choice of an image interpolation/zoom algorithm for use in UND's Open Prototype for Educational Nanosats (OPEN) satellite program. Whether intended for a space-borne platform or a balloon-borne platform, we ... | CommonCrawl |
Let $B$ be a quantum algebra possessing a semiclassical limit $A$. We show that under certain hypotheses $B^e$ can be thought of as a deformation of the Poisson enveloping algebra of $A$, and we give a criterion for the Hochschild cohomology of $B$ to be a deformation of the Poisson cohomology of $A$ in the case that $... | CommonCrawl |
1 . What should come in place of question mark (?) in the following equations?
$37 \times 37 \times + 33 \times 33 \times 33 \over 37 \times 37 + 33 \times 33 - 1221$ = ?
2 . What should come in place of question mark (?) in the following equations?
$4.5 \times 6 - 3.6 \times 5 \over 8.8 \times 5 - 5.5 \times 6$ = ?
A ... | CommonCrawl |
I know that Mg has 2 valence electrons and O has 6. But I don't know what I must do for a complete ionic compound. If I add them up I get 2+6+6+1+1 = 16, but the answer of this question was 24. Is the answer right? If yes, then how to get it?
You get 24 if you say Mg2+ has 8 valence electrons (its electron configuratio... | CommonCrawl |
My models: Say I want to construct a portfolio so I maximize my expected return while keeping my risk (measured by Value-at-Risk) lower than my risk target.
My Value-at-Risk is based on 500 scenarios and my 5% VaR is the absolute value of 10th lowest observation in my potential PnL vector. Say there is $m$ different as... | CommonCrawl |
There are infinitely many complex numbers $z$ such that $|z|= 1$. Can anybody just explain this to me so I can get the picture.
Here $z=a+ib$ ie. $z=(a,b) $ and can be represented as a point or vector on complex plane above. $|z|^2=a^2+b^2 =1$. and this itself is a locus of a circle.
which is the equation of a circle. ... | CommonCrawl |
We use the same notation with LDA. $z$ denotes a labeling of a followed user $g$ with a topic (interest), or simply a topic, $P(z f)$ denotes the multinomial distribution of topics given a follower $f$, and $P(g z)$ denotes the multinomial distribution of followed users given a topic. $\alpha$ and $\beta$ are Dirichlet... | CommonCrawl |
Abstract: We introduce an affine extension of the Heston model where the instantaneous variance process contains a jump part driven by $\alpha$-stable processes with $\alpha\in(1,2]$. In this framework, we examine the implied volatility and its asymptotic behaviors for both asset and variance options. Furthermore, we e... | CommonCrawl |
Ritchie is a Data Scientist & Big Data Engineer at Xomnia. Besides working at Xomnia, he writes blogs on his website about all kinds of machine- and deep learning topics, such as: "Assessing road safety with computer vision" and "Computer build me a bridge". Expect more interesting blogs from Ritchie in the future.
Las... | CommonCrawl |
MathGraph32 Java is a software for the creation of figures of geometry or analysis.
MathGraph32 has been written by a french mathematic teacher.
With a few mouse clicks MathGraph32 can create very sophisticated figures of pure geometry or analysis.
MathGraph32 is first an educational tool.
MathGraph32 is free under GNU... | CommonCrawl |
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