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This tutorial covers the basics for running a self-consistent DFT calculation for silicon. The goal is to introduce you to the different file types and the basics of running the code. Alternatively, you can run the following one-liner to get the same result. This assumes you have already created the init file. See Addi...
CommonCrawl
Jepetto the toymaker was thinking about a new toy to add to his tiling product line. His new design involved a punctured chessboard: an ordinary $8 \times 8$ chessboard, except with a single square removed. Don't you see? You've ruined it! How can anyone tile this board with $3\times 1$ rectangular pieces!? On how many...
CommonCrawl
Any signal $x(t)$ can be written as the sum of an even signal and odd signal. where, $x_e(t)$ is the even part and $x_o(t)$ is the odd part. If $x(t)$ is real $\rightarrow X(j\omega)$ is conjugate symmetric. If $x(t)$ is real and even $\rightarrow X(j\omega)$ is real. If $x(t)$ is complex, conjugate symmetric $\rightar...
CommonCrawl
Je suis maître de conférences à l'université de Toulouse III (Paul Sabatier). I am interested in Fuchsian groups, arithmetic groups, symmetric spaces, hyperbolic geometry, asymptotic geometry. Systoles in translation surfaces, preprint (with C. Boissy). The limit sets of subgroups of lattices in $PSL(2,R)^r$, to appear...
CommonCrawl
Why do we have the present order of operations, and how do hyperoperations fit in? Something that's been bugging me for a fairly decent while is the order of operations - not so much using it, however, as to understanding where it comes from. ...all typically done in a left-to-right order. But this seems arbitrary in a...
CommonCrawl
Griffin, Kent ; Stuart, Jeffrey L. ; Tsatsomeros, Michael J. Let $a$, $b$ and $c$ be fixed complex numbers. Let $M_n(a,b,c)$ be the $n\times n$ Toeplitz matrix all of whose entries above the diagonal are $a$, all of whose entries below the diagonal are $b$, and all of whose entries on the diagonal are $c$. For $1\leq k...
CommonCrawl
Résumé : This opening session for the working group on topology, geometry and statistics will be a non-technical introduction to information geometry, a topic that has recently gained a lot of attention. The starting point will be the Cramer-Rao bound in estimation theory and its expression with the so-called Fisher in...
CommonCrawl
We report our work about the main necessary and sufficient conditions for weak lower semi-continuity of integral functionals in vector Calculus of Variations. In particular we provide tools to investigate rank-one convexity of functions defined on $2\times 2$-matrices. Furthermore, we explore some consequences and exam...
CommonCrawl
Executes a user-defined function on parameter draws from the prior distribution. Dynare returns the results of the computations for all draws in an $ndraws$ by $n$ cell array named oo_.prior_function_results. The function must have the following header output_cell = FILENAME(xparam1,M_,options_,oo_,estim_params_,bayest...
CommonCrawl
A horizontal conveyor belt is running at a constant speed $v_b$ = 3.0 m/s. between the disc and the belt is 0.50. This 2nd part of this question is the same as [A block is pushed onto a conveyor belt](http://physics.qandaexchange.com/?qa=205/a-block-is-pushed-onto-a-conveyor-belt&show=205#q205). (a) Your calculation is...
CommonCrawl
Abstract: The leading order dynamics of the type IIB Large Volume Scenario is characterised by the interplay between $\alpha'$ and non-perturbative effects which fix the overall volume and all local blow-up modes leaving (in general) several flat directions. In this paper we show that, in an arbitrary Calabi-Yau with a...
CommonCrawl
Abstract: We consider preheating in the theory $1/4 \lambda \phi^4 + 1/2 g^2\phi^2\chi^2 $, where the classical oscillating inflaton field $\phi$ decays into $\chi$-particles and $\phi$-particles. The parametric resonance which leads to particle production in this conformally invariant theory is described by the Lame e...
CommonCrawl
Programming languages often have built in mathematical functions, that do much more than add, subtract, multiply and divide. In this lesson, we'll look at the absolute value function. If you recall, the absolute value of a number is the number "made positive" by dropping the minus sign if the number if negative and jus...
CommonCrawl
Abstract : We examine the stability of linear integer-order and fractional-order systems with commensurate delays of neutral type in the sense of $H_\infty$-stability. The systems may have chains of poles approaching the imaginary axis. While several classes of these systems have been previously studied on a case-by-ca...
CommonCrawl
In the newly created index.js file we can now write some boilerplate code that will allow us to run our environment and visualize it. See the bottom of this article for the contents of this file. Basically, these numbers are 4 unknown random continuous numbers, that we do not know what they do in our algorithm… (though...
CommonCrawl
The aim of the present paper is to introduce the concept "Finite dimension" in the theory of associative rings R with respect to two sided ideals. We obtain that if R has finite dimension on two sided ideals, then there exist uniform ideals $U_1,U_2,\ldots,U_n$ of R whose sum is direct and essential in R. The number n ...
CommonCrawl
Is there a way to make sage print out all monomials of a Boolean Ring? In a finite ring, is there a way to get Sage to print out all possible monomials of the ring? I have a method, but it's very crude. It's simply doing something like taking a random variable to mutiply with a random ring element from B.random_element...
CommonCrawl
1. $g_1(g_2a) = (g_1 \cdot g_2)a$ for all $g_1, g_2 \in G$ and for all $a \in A$. 2. $1a = a$ for all $a \in A$ (where $1 \in G$ denotes the identity element). 1. $(ag_1)g_2 = a(g_1 \cdot g_2)$ for all $g_1, g_2 \in G$ and for all $a \in A$. 2. $1a = a$ for all $a \in A$. In either case we say that the group $G$ is (le...
CommonCrawl
"every bivector can be written as the sum of two simple bivectors. It is useful to choose two orthogonal bivectors for this, and this is always possible to do." How can I rewrite $B = B_1' + B_2'$ with $B_1'\cdot B_2' = 0 = B_1'\times B_2'$ ? We only need to solve for $Q$ in terms of $B$. I was able to take a square ro...
CommonCrawl
What is the probability pairs of sums are distinct? What is the probability that all of the $Z_i$ are distinct? Numerically it seems that if $s = n^2$ the probability is approximately $0.75$. I don't know how true this mathematically is however. What is the relationship between the first experiment and the second exper...
CommonCrawl
Anyway, besides working with log probabilities I still get numeric instability for longer training sentences. This is primarily due to the size of the set of observed variables. As the size is 80,000, each state in the HMM has an average emission probability of 1/80,000 for each word. I was wondering how to counteract ...
CommonCrawl
While mono-spaced fonts are generally accepted as the best option for programming and coding, I feel they make it to hard to read longer texts and thus are not my preferred font for writing latex. What fonts are a good compromise between the advantages of mono-space (good readability of special symbols like $ ? / \ etc...
CommonCrawl
There is a staircase that consists of $n$ stairs, numbered $1,2,\ldots,n$. Initially, each stair has some number of balls. There are two players who move alternately. On each move, a player chooses a stair $k$ where $k \neq 1$ and it has at least one ball. Then, the player moves any number of balls from stair $k$ to st...
CommonCrawl
The family of unidirectional continuous fiber reinforced polymeric composites are currently used in automotive bumper beams and load floors. The material properties and mechanical characteristics of the compression molded parts are determined by the curing behavior, fiber orientation and formation of knit lines, which ...
CommonCrawl
In this short post, I describe some errors that are produced by MATLAB's strip spectral correlation analyzer function commP25ssca.m. I don't recommend that you use it; far better to create your own function. Correlation Algorithm for Cyclic Spectrum Estimation". February, 1994. where input is the complex-valued input d...
CommonCrawl
From the properties of the geometric definition of the cross product and the scalar triple product, we can discover a link between $2 \times 2$ determinants and area, and a link between $3 \times 3$ determinants and volume. The relationship between determinants and area or volume by Duane Q. Nykamp is licensed under a ...
CommonCrawl
Welcome to the MAT232 Introduction to Sage worksheet. This tutorial will guide you through the basic operations necessary to use Sage to handle basic matrix operations. Sage is a powerful tool; we'll only just begin to see its capabilities here. If you are interested you can learn much more about its capabilities at ht...
CommonCrawl
We will now look at some more examples of computing errors and relative errors. An sample yields a true value of $x_T = 25044.33$. A mathematical model estimates the experiment for which this sample was taken and approximates $x_T$ as $x_A = 24993.53$. Find the error and relative error of $x_A$ from $x_T$. A function $...
CommonCrawl
What's the fewest weights you need to balance any weight from 1 to 40 pounds? How many different non congruent polygons can you make on a 3x3 dot grid? Is it possible to fill the $121$ entries in an $11\times11$ square with the values $0,+1,-1$, so that the row sums and column sums are $22$ distinct numbers? Can politi...
CommonCrawl
Let $S \to X$ be an $S^3$-fiber bundle over a smooth manifold $X$. If $S$ is an oriented manifold does this fiber bundle admit the structure of an $SU(2)$-principal bundle? There is a similar theorem for the case of circle bundles and is proved in Morita's book on differential forms. Unfortunately, I do not see a way t...
CommonCrawl
In this paper, a multi-state diagnosis and prognosis (MDP) framework is proposed for tool condition monitoring via a deep belief network based multi-state approach (DBNMS). For fault diagnosis, a cost-sensitive deep belief network (namely ECS-DBN) is applied to deal with the imbalanced data problem for tool state estim...
CommonCrawl
We show that any similar structure measure on the segment $[0,1]$ is an image-measure of the appropriate constructed infinite direct product of discrete probability measures. We construct two types of equilibrium dynamics of an infinite particle system in a locally compact metric space $X$ for which a permanental point...
CommonCrawl
I am trying to understand the concept of outer product in quantum mechanics. I read "Quantum Computing explained" of David MacMahon. But how to get $(\langle \phi | \phi | \chi \rangle ) | \psi \rangle$ ? Why it is possible to get through such steps? I'm thinking that it's a typo, and all the author wanted in the last ...
CommonCrawl
Abstract: I have investigated signal recognition particle (SRP)-mediated protein targeting using a combination of genetic, biochemical, and molecular sequence analysis techniques. First, I consider the SRP cycle from the perspective of molecular evolution. This analysis provides insight into the significance of structu...
CommonCrawl
Purpose: This tutorial shows you how to visualize the phonon modes found in an earlier phonon calculation, using a basic python script. As in other tutorials, we consider the diamond crystal as example. Continue in the working directory where you did the phonon calculation, e.g., /home/exciting-tutorial/diamond-phonons...
CommonCrawl
I'm trying to solve a 3x3 magic square for 99 which starts at 29. I got the rows, columns and one diagonal but the other diagonal is (way) off. Is there even a magic square which satisfies both diagonals for these parameters? As you can see I've been playing around in a spreadsheet, moving numbers around. But is there ...
CommonCrawl
You are in a book shop which sells $n$ different books. You know the price and number of pages of each book. You have decided that the total price of your purchases will be at most $x$. What is the maximum number of pages you can buy? You can buy each book at most once. The first input line contains two integers $n$ an...
CommonCrawl
Implementation of <a href = "https://en.wikipedia.org/wiki/Knight%27s_tour#Warnsdorf's_rule">Warnsdorff's rule</a> - heuristic for finding a knight's tour on chessboards. A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a square...
CommonCrawl
Fyi, your posts are all missing attachments! a. Transform the given system into a single equation of second order. b. Find $x_1$ and $x_2$ that also satisfy the given initial conditions. I think c1 should be -2 and c2 should be 2. This is in fact not the question TUT0601 got, we had the question from Zhiya's post. I th...
CommonCrawl
where $k(t)$ has, in addition, a certain smoothness in a neighborhood of the points $\pm a$. Specifically, for $1<p<\infty$ this property is realized if and only if $\alpha\ne1-1/p$, while for $p=1$ or $\infty$ there is no extension of convergence. This result is applied to the question of bases of exponential function...
CommonCrawl
Equation: "integral from 0 to 6 of -(x^2)+36" So I know the answer, I just don't understand what my teacher wants. I know there's an "n(n+1)(2n+1) that's supposed to be thrown in there. What the teacher wants if for you to divide the interval (0,6) into a lot of evenly spaced intervals and set up the Riemann sum over t...
CommonCrawl
Abstract: This paper is concerned with the study of theexistence/non-existence of the discrete spectrum of the Laplaceoperator on a domain of $\mathbb R ^3$ which consists in atwisted tube. This operator is defined by means of mixed boundaryconditions. Here we impose Neumann Boundary conditions on abounded open subset ...
CommonCrawl
Abstract: We present multi-epoch, $R-$band imaging obtained from the Palomar Transient Factory of a small, fan-shaped reflection nebula in NGC 1333 that experiences prominent brightness fluctuations. Photometry of HBC 340 (K7e) and HBC 341 (M5e), a visual pair of late-type, young stellar objects lying near the apex of ...
CommonCrawl
Theorem 1 (Riesz's Lemma): Let $(X, \| \cdot \|)$ be a normed linear space and let $Y \subseteq X$ be a proper and closed linear subspace of $X$. Then for all $\epsilon$ such that $0 < \epsilon < 1$ there exists an element $x_0 \in X$ with $\| x_0 \| = 1$ such that $\| x_0 - y \| \geq 1 - \epsilon$ for every $y \in Y$....
CommonCrawl
The motional Stark effect with laser-induced fluorescence (MSE-LIF) diagnostic is under development to extend the MSE magnetic pitch angle diagnostic to lower fields ( $<$ 0.5 T) and enable measurement of magnetic field magnitude as well as direction. The technique involves injecting a low energy-spread neutral hydroge...
CommonCrawl
Berndt, R., Gimzewski, J. K. & Schlittler, R. R. Photon emission from nanostructures in an STM. Nanostructured Materials 3, 345–348 (1993). Berndt, R., Gimzewski, J. K. & Schlittler, R. R. Photon emission from small particles in an STM. Zeitschrift für Physik D Atoms, Molecules and Clusters 26, 87–88 (1993). Gimzewski,...
CommonCrawl
Can select many disjoint pairs with prescribed differences from Z_n? Suppose we have a sequence $d_i<2n$ for $i=1,\ldots,n$ and we want to select $n$ disjoint pairs from $Z_p$, $x_i,y_i$ such that $x_i-y_i=d_i \mod p$. Then how big $p$ has to be compared to $n$ to do this? I am primary interested on an upper bound on $...
CommonCrawl
Sorry that this is such a simple question! Paternoster, R., Brame, R., Mazerolle, P., & Piquero, A. R. (1998). Using the Correct Statistical Test for the Equality of Regression Coefficients. Criminology, 36(4), 859–866. SE being the standard error of the respective 'slopes' in your case. If the slopes come from ordinar...
CommonCrawl
You are given a rooted tree that consists of $n$ nodes. The nodes are numbered $1,2,\ldots,n$, and node $1$ is the root. Each node has a value. The first input line contains two integers $n$: the number of nodes and queries. The nodes are numbered $1,2,\ldots,n$. The next line has $n$ integers $v_1,v_2,\ldots,v_n$: the...
CommonCrawl
Which shape does an elastic rod take as its ends are getting closer? Note that in the case of the circle arc you cannot bring $a$ to $0$ closer than $a = L/\pi$ without leaving the realm of functions $y=f(x)$ - for parabolas and sine functions you can. Note that this doesn't look at all like a sinoidal wave. The energy...
CommonCrawl
Electric birefringence (EB) of suspensions of anisotropic particles can be considered an electrokinetic phenomenon in a wide sense, as both liquid motions and polarization of the electrical double layer (EDL) of the particles participate in the process of particle orientation under the applied field. The EB spectrum ca...
CommonCrawl
This category contains definitions related to Formal Systems. Related results can be found in Category:Formal Systems. A formal system is a formal language $\mathcal L$ together with a deductive apparatus for $\mathcal L$. Pages in category "Definitions/Formal Systems"
CommonCrawl
Masters student in Computational Chemistry at University of Copenhagen, writing about what I feel like. Enjoy the reading. Now that we can easily provide DHCP, DNS and TFTP and a debian image for all the nodes, we want to make it easy to maintain the cluster and setup user management. For maintaining packages and confi...
CommonCrawl
The binary-options tag has no usage guidance. How do binary options broker hedge themselves against losses? In Delta of binary option, I do not see how to prove that the limit of $\partial C_t/\partial S_t$ is equal to $+\infty$ as $t \rightarrow T$. Can someone help ? Justification for Binary Option's Infinite Delta? ...
CommonCrawl
I asked this question to my Biology teacher and he, in collaboration with a Chemistry teacher, couldn't find the answer. My question is the following: "What does the $\alpha$ and $\beta$ represent in the secondary structure of a protein? I do reference to the $\alpha$ helix and $\beta$ sheets in proteins." I had a simi...
CommonCrawl
Basic Rules of "Ratio Sudoku" The special clue-numbers in this Sudoku variant are fractions or ratios in the lowest terms, hence the name for the puzzle. The clue-numbers are always placed on the border lines between selected pairs of neighbouring cells of the grid. Each clue-number is the fraction of the two numbers i...
CommonCrawl
How do I find a tangent plane without a specified point? I was having a problem finding the points on $z=3x^2 - 4y^2$ where vector $n=<3,2,2>$ is normal to the tangent plane. How do we calculate the tangent plane equation without a specific point to calculate it at? I also had an idea to take the cross product of $2$ v...
CommonCrawl
We consider the classification of BPS and non-BPS D-branes in orientifold models. In particular we construct all stable BPS and non-BPS D-branes in the Gimon-Polchinski (GP) and Dabholkar-Park-Blum-Zaffaroni (DPBZ) orientifolds and determine their stability regions in moduli space as well as decay products. We find sev...
CommonCrawl
Abstract. We consider a non-relativistic electron interacting with a classical magnetic field pointing along the $x_3$-axis and with a quantized electromagnetic field. The system is translation invariant in the $x_3$-direction and we consider the reduced Hamiltonian $H(P_3)$ associated with the total momentum $P_3$ alo...
CommonCrawl
Abstract: Let $G$ be a locally compact group, and take $p\in(1,\infty)$. We prove that the Banach left $L^1(G)$-module $L^p(G)$ is injective (if and) only if the group $G$ is amenable. Our proof uses the notion of multi-norms. We also develop the theory of multi-normed spaces.
CommonCrawl
is A = matrix([[1, 2, 3], [4, 5, 6]]). The matrix $A$ is a $2 \times 3$ matrix with entries in the integers. The matrix $A$ below has entires in the rationals, QQ. We may replace QQ with RR (the floating point real numbers) or CC (the floating point complex numbers). The number of rows (2) and columns (3) can be entere...
CommonCrawl
Title: "What Big Data can tell you - and why it matters" Title: "Bayes and Big Data" Title: "What's new with the GPU? Programmable parallel processing for future computing" Title: "Peer effects and global treatments: Design and analysis of experiments in networks" Title: "Relative fixed-width stopping rules for Markov ...
CommonCrawl
A system of $n$ screw dislocations in an isotropic crystal undergoing antiplane shear is studied in the framework of linear elasticity. Imposing a suitable boundary condition for the strain, namely requesting the non-vanishing of its boundary integral, results in a confinement effect. More precisely, in the presence of...
CommonCrawl
A directional repeater system with simple architecture composed of wideband receive and transmit antennas, a high gain low-power amplifier, and a bandpass filter is proposed for the 2450-MHz ISM band. The repeater system does not require down-conversion and up-conversion with frequency translation and does not rely on ...
CommonCrawl
Hurricanes can cause a lot of destruction when they pass over land. Given the path that a hurricane takes and the locations of a number of cities, find which city is in the most danger of damage. That is, the city that is closest to the path the hurricane takes. Assume that each hurricane travels in a straight line, an...
CommonCrawl
Which one is correct, $x_i$s or $x_i$'s? The $x_i$s form a sequence. The $x_i$'s form a sequence. I prefer adding a noun. You can decline the noun and remind the reader of the type of the object in question. For example: "The numbers/points $x_i$ form a sequence." "One of the numbers $x_i$ has to be an integer." Neithe...
CommonCrawl
Well, here are the caterpillars! Our caterpillars have numbers on each little part - numbers $1, 2, 3, 4, \ldots$ up to $16$. You can see their pale blue head, and their body bending at right angles so that each part is lying in a square. When you've discovered many new ones, with the shapes - and therefore the numbers...
CommonCrawl
Dijktra's Algorithm and Single-Source Shortest Paths. Suppose we want to record the shortest paths from some source to every single other vertex (so that we can rapidly found a route from s to X, from s to Y, and so forth). We already know how to do this if we're only counting the number of edges, we just use BFS. But ...
CommonCrawl
Charlie wants to know how many factors 360 has. How would you work it out? Click below to see what Alison did. "I can stop there, because the next factor would be 20 and I've already got that. So there are 24 factors." Charlie thought about it in a different way. Click below to see what he did. Charlie started by worki...
CommonCrawl
$ min \langle c, x \rangle$ s.t. $Ax \geq b, x \geq 0$, where $x$ is an integer and $A$ has integer entries. Show the optimal value of this is no less than the optimal value of this maximum: $max \langle b^* , \lambda \rangle$ s.t. $A^T\lambda \leq c, \lambda \geq 0$, where $b^*$ denotes the roundup of vector $b$: the ...
CommonCrawl
To solve complicated variable equations such as those with variables on both sides of the equal sign, remember what you know about the balance scale – you must perform the same operation on both sides of the scale in order to stay balanced. There are many steps to solve multi-step equations, hence the name. Step 1, if ...
CommonCrawl
Abstract: A numerical study of Anderson transition on random regular graphs (RRG) with diagonal disorder is performed. The problem can be described as a tight-binding model on a lattice with N sites that is locally a tree with constant connectivity. In certain sense, the RRG ensemble can be seen as infinite-dimensional...
CommonCrawl
Dopamine (DA) agonist-induced behavioral supersensitivity in the adult rat has served as the standard model for certain of the motor and behavioral side effects associated with long-term exposure to DA agonists in humans. The mechanisms relating receptor events with behavior mediation, however, remain unclear. The stri...
CommonCrawl
Combinations. Games. Selecting and using information. Visualising. Interactivities. Working systematically. Optimisation. Addition & subtraction. Logic. Resilient. The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid. A collection of res...
CommonCrawl
talks.cam : Lower semicontinuity and relaxation of nonlocal $L^\infty$ functionals. University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Lower semicontinuity and relaxation of nonlocal $L^\infty$ functionals. We consider variational problems involving nonlocal supremal functionals, i.e. L1(;Rm)...
CommonCrawl
$R \to S$ maps a regular system of parameters of $R$ to part of a regular system of parameters of $S$. In particular $R \to S$ is flat (see Algebra, Lemma 10.127.2) with regular fibre $S/\mathfrak m_ R S$ (see Algebra, Lemma 10.105.3). In order to prevent bots from posting comments, we would like you to prove that you ...
CommonCrawl
The highest $\alpha$ is, the harder it is to find a solution. I tried both simulated annealing and Jacobian-Free Newton Krylov numerical methods, without much success. I believe an issue here might be the way I state the problem. Should JFKN or SA compute a perturbation/update on each matrix element separately? It does...
CommonCrawl
What is the definition of continuity of set-valued functions? According to the wiki of Kakutani's fixed-point theorem, A set-valued mapping $\varphi$ from a topological space $X$ into a powerset $\wp(Y)$ called upper semi-continuous if for every open set $W \subseteq Y$, $\lbrace x| \varphi(x) \subseteq W \rbrace$ is a...
CommonCrawl
Let $V$ be a finite dimensional vector space over the finite field $F_q$ with basis $e_1,\dots, e_n$. Suppose $x_1,\dots, x_n$ is the dual basis of the dual vector space $V^*$. Let $G \le GL(V)$ and consider the polynomial ring in the $n$ indeterminates $F_q[x_1,\dots, x_n]$. Invariant theory over finite fields is a br...
CommonCrawl
switch is closed what is the total amount of charge that flows from Y to X ? As initially switch is closed then the wire with capacitor will act as zero resistance . So why will any current(charge) will flow from the wire containing resistance . hence there should be no charge flown in wire XY . In both cases (switch o...
CommonCrawl
I wrote this recursive function to print a number sequence from x to n and n to x back. I want to know if this way to solve the problem is good and how could I improve that code. If you print a sequence of numbers from \$x\$ through \$n\$ in increasing order, and then the same sequence in decreasing order, you'll get a...
CommonCrawl
The pressure is 23.5 atm. This is much too high for a garden hose. For comparison, a stove top pressure cooker has a pressure of about 15 atm. The volume flow rate is too high. $N_R = 5.28 \times 10^6 >> 3000$. The flow is turbulent. This is College Physics Answers with Shaun Dychko. Poiseuille's Law says that the volu...
CommonCrawl
Group isomorphism $h:(\mathbb R,+)\to (\mathbb R^+,\times)$ that is not an exponential function. Question of whether two given spaces are homeomorphic. Sum of a nilpotent element and a zero divisor in a commutative ring $A$. Can we extend a linearly independent list in a f.g. module of a commutative ring? +8 "Paradox" ...
CommonCrawl
Specifically, this is about table III-IV. I have downloaded the average return data that one can obtain, in the HML and SMB setting. This means, I have the "Small", "Medium" and "Big" firms (size) average monthly returns since 1926-2017, as well as the "Low", "Medium" and "High" average returns of the BE/ME size of the...
CommonCrawl
This functions appends a child to an existing list of children or creates a new list of children. The node being appended. It can be created with e.g. DomDocument->create_element, DomDocument->create_text_node etc. or simply by using any other node. You can not append a DOMAttribute using this method. Use DomElement->s...
CommonCrawl
In this note we study asymptotic properties of random lifts of graphs introduced by Amit and Linial as a new model of random graphs. Given a base graph $G$ and an integer $n$, a random lift of $G$ is obtained by replacing each vertex of $G$ by a set of $n$ vertices, and joining these sets by random matchings whenever t...
CommonCrawl
Construct a continuous real valued function which takes zero on integers and such that image of function is not closed. Does Bhagavad Gita say anything about whether a person should eat Vegetarian or Non Vegetarian food? How to effectively read a mathematical textbook? Showing that given matrix does not have negative e...
CommonCrawl
1 Math Unlike Other Subjects Ch. 2 Belief Systems & Student Achievement Ch.3 Protocols & Expectations Ch. 4 Preparation Affects Everything Ch. 5 Instruction Really Matters Ch. 6 Writing it Down Ch. 7 Making Homework Worthwhile Ch. 8 Test Prep, Light at the End of the Tunnel Ch. 9 The Test, Where the Rubber Hits the Roa...
CommonCrawl
A type of convergence of sequences of functions (mappings). Let $f_n : X \rightarrow Y$, $n=1,2,\ldots$ where $X$ is some set and $Y$ is a topological space; then pointwise convergence means that for any element $x \in X$ the sequence of values $y_n = f_n(x)$, $n=1,2,\ldots$ converges in the space $Y$. The function $f ...
CommonCrawl
Music teachers challenge students to listen and participate. English and History teachers invite students to journey in other worlds. Art and Drama teachers offer students opportunities to explore. What are we to offer students if they are to function mathematically? What do you understand by 'functioning mathematicall...
CommonCrawl
Abstract : In this paper, we propose a Ward-like hierarchical clustering algorithm including spatial/geographical constraints. Two dissimilarity matrices $D_0$ and $D_1$ are inputted, along with a mixing parameter $\alpha \in [0,1]$. The dissimilarities can be non-Euclidean and the weights of the observations can be no...
CommonCrawl
where $x$ is called indeterminate. where $x^0$ means the identity element in the structure which $x$ belongs to. For the study of the polynomial itself, I think these two definition make no difference. But when you treat a polynomial (expression) as a polynomial function, and if we use the second definition, we can jus...
CommonCrawl
We show that the total area of two distinct Gaussian curvature 1 surfaces with the same conformal factor on the boundary, which are also conformal to the Euclidean unit disk, must be at least 4π. In other words, the areas of these surfaces must cover the whole unit sphere after a proper rearrangement. We refer to this ...
CommonCrawl
There has been much said in the popular media about declining standards and participation in secondary school mathematics in Australia. It is strange that it should be so, but it is true all the same, that many of the most debated aspects of Mathematics concern matters that are really completely trivial. The Marriage P...
CommonCrawl
| Angenent, Feldman, Kim, Tran. mentioned problem regarding the system of cross-diffusion equations. The remaining part of the talk will be focused on some new generalized results on regularity gradient estimates for some general class of quasi-linear parabolic equations. Regularity estimates for gradients of solutions...
CommonCrawl
I'm using daily settlement data to get yield levels for a couple of products. From this data I am doing PCA on a rolling collection of the yield levels. I have been using sci-kit learn's PCA function, but I also see the issue when doing my own PCA through Numpy. So as far as I know it's not an issue of the libraries. H...
CommonCrawl
I wonder, terms like "Auxin", "Cytokinin", "Gibberellin" etc means NOT a single compound; but a class of compound. For example "Auxin" does-not mean a single compound, but several compounds such as : natural auxin (IAA in all plants*, 4-Cl-IAA in pea*, IBA in mustards*) and their synthetic analogs like NAA, 2,4-D, 2,4,...
CommonCrawl
Preprint arXiv:1309.5603 [math.PR]; last accessed October 23, 2018. Abstract: Many mathematical, man-made and natural systems exhibit a leading-digit bias, where a first digit (base 10) of 1 occurs not 11% of the time, as one would expect if all digits were equally likely, but rather 30%. This phenomenon is known as Be...
CommonCrawl
The power of Bayesian modelling really clicked for me when I was first introduced to hierarchical modelling. In this blog post we will highlight the advantage of using hierarchical Bayesian modelling as opposed to non-hierarchical Bayesian modelling. This hierachical modelling is especially advantageous when multi-leve...
CommonCrawl
N.Tsilevich, A.Vershik, "Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures" Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures. Abstract. In this paper we describe new fundamental properties of the law $P_\Gamma$ of t...
CommonCrawl