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Course Objectives: Walking through Kemeny Hall, you will hear professors and students discussing a myriad of topics. A comment made suprisingly often in an explanation — independent of the subject — is 'It's just linear algebra.' Whatever this subject is, one can be certain that linear algebra is as fundamental to high...
CommonCrawl
A few days ago I had a look at my hungarian method project again. You can find the blog post here. After writing that blog post the owner of the julia library for that algorithm commented on my post and made a huge performance improvement to his library to be much faster than my code where my goal of actually implement...
CommonCrawl
The slope of a line is most commonly quoted as the "rise over the run." More precisely, this means the $\Delta y$ over $\Delta x$, or $m=\Delta y/\Delta x$, where $m$ is commonly assigned to be the "slope." Now, do you remember how the slope works? Does a vertical line have an infinite slope or a zero slope? What about...
CommonCrawl
We study the blow-up of $H$-perimeter minimizing sets in the Heisenberg group $\mathbb H^n$, $n\geq 2$. We show that the Lipschitz approximations rescaled by the square root of excess converge to a limit function. Assuming a stronger notion of local minimality, we prove that this limit function is harmonic for the Kohn...
CommonCrawl
Yesterday I asked a question on parameterizations of knotted surfaces in $\mathbb R^4$. After I stated in the comments that I wanted the question to be kept to the case of a general surface, the question was promptly put on hold as "unclear what you're asking". I then refined my question to make it clearer. A day has s...
CommonCrawl
$$p \times \log(p) + q \times \log(q) + p \times \log\left(1 + (1-q)/p\right) + q \times \log \left(1 + (1-p)/q\right).$$ I expect the last two terms somehow equal $\log(2)$ but I have been scratching my head for hours trying to get there. Can anyone show me how please? Browse other questions tagged finance-mathematics...
CommonCrawl
seven and when you roll three dice it will add up to $21$. In three dice you roll three dice and add the top score up and the boottem score together and add it together we found out that the answer was always $21$ thats because three times seven makes $21$ and whatever you get on one side add to the other side always m...
CommonCrawl
Homotopy theory is an important sub-field of algebraic topology. It is mainly concerned with the properties and structures of spaces which are invariant under homotopy. Chief among these are the homotopy groups of spaces, specifically those of spheres. Homotopy theory includes a broad set of ideas and techniques, such ...
CommonCrawl
Let X a compact (complex) manifold which has a non-zero cohomology class $\alpha \in H^1(X,\mathbb Z)$. Let $\pi: \bar X\to X$ be the corresponding infinite cyclic covering. What does this mean? It seems that an infinite cyclic covering is a cover with fiber $\mathbb Z$. But why does such a covering exist, and how is i...
CommonCrawl
Abstract : Monte-Carlo evaluation consists in estimating a position by averaging the outcome of several random continuations, and can serve as an evaluation function at the leaves of a min-max tree. This paper presents a new framework to combine tree search with Monte-Carlo evaluation, that does not separate between a ...
CommonCrawl
We present a general-purpose method to train Markov Chain Monte Carlo kernels (parameterized by deep neural networks) that converge and mix quickly to their target distribution. Our method generalizes Hamiltonian Monte Carlo and is trained to maximize expected squared jump distance, a proxy for mixing speed. We demonst...
CommonCrawl
I recently learned about an oil drop experiment that showed how a classical object can produce quantum like behavior because its assisted by a pilot wave. How has this not gained more attention? What flaws does Broglie–Bohm pilot wave theory have in explaining particle behavior? It might help to cite your source: I fou...
CommonCrawl
Why does this grammar derive into $\beta \alpha ^*$ instead of $\alpha ^* \beta$? In this video clip the teacher presents a grammar $A \rightarrow A \alpha | \beta$ and after providing the parse tree explains that the regular expression for the language generated is represented as $\beta \alpha ^*$. Why isn't it $\alph...
CommonCrawl
In this talk, I will present our recent work on the local in time existence of two-dimensional gravity water waves with angled crests. Specifically, we construct an energy functional $E(t)$ that allows for angled crests in the interface. We show that for any initial data satisfying $E(0)<\infty$, there is $T>0$, depend...
CommonCrawl
Tetris is a popular video game that has been widely used as a benchmark for various optimization techniques including approximate dynamic programming (ADP) algorithms. A close look at the literature of this game shows that while ADP algorithms, that have been (almost) entirely based on approximating the value function ...
CommonCrawl
222 The Integral that Stumped Feynman? 66 Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods? 64 Am I too young to learn more advanced math and get a teacher? 59 Do "Parabolic Trigonometric Functions" exist? 54 What is the fastest/most efficient algorithm for estimating Euler's Constant $\gamma$? 40 How do you ...
CommonCrawl
We study a class of countable-state zero-sum stochastic games, called (1-exit) Recursive Simple Stochastic Games (1-RSSGs), with strictly positive rewards. This model is a game version of several classic stochastic models, including stochastic context-free grammars and multi-type branching processes. The goal of the tw...
CommonCrawl
Although LaTeX produces output that is far superior to MS Word, it suffers from a fatal flaw: LaTeX document files are non-portable. Thus, it's often necessary to convert LaTeX files to MS Word. I tested a number of ways of doing this, using three types of files that are hard to convert: a table, a framebox, and an equ...
CommonCrawl
Is it okay to say that the time for each job is 0.4 hours? I presume $x$ is number of jobs and $y$ is number of hours to complete it. It's not correct to say that time for each job is 0.4 hours because you have a (pretty large) bias term. This means you have a fix cost. Performing one job takes $90.4$ hours, two jobs $...
CommonCrawl
A group $H$ is said to be capable if there is a group $G$ such that $G/Z(G)\cong H$. It is well known that $G/Z(G)$ can never be cyclic of order $>1$; so cyclic groups are not capable. More interesting: quaternion group $Q_8$ is not capable: there is no $G$ with $G/Z(G)\cong Q_8$. Now $Z_p$ (cyclic of order $p$) is not...
CommonCrawl
This problem challenged you to check your understanding of the building blocks of maths: "plus", "minus", "divide", and "multiply". You noticed that the order of numbers and symbols is important; in different positions, the "number sentence" can say different things. This is the same as when you speak or write; the ord...
CommonCrawl
This challenge is about a variant of RSA encryption where the integers are replaced by a polynomial ring over $\mathbb F_2$. Recall that RSA works in a ring $\mathbb Z/n$ where $n=pq$ is a product of two large random primes. To break RSA, it is sufficient to compute the size $\varphi(n)$ of the unit group $(\mathbb Z/n...
CommonCrawl
In this chapter, we show how to extend grammars with functions – pieces of code that get executed during grammar expansion, and that can generate, check, or change elements produced. Adding functions to a grammar allows for very versatile test generation, bringing together the best of grammar generation and programming...
CommonCrawl
Abstract: We consider a two-way half-duplex relaying system where multiple pairs of single antenna users exchange information assisted by a multi-antenna relay. Taking into account the practical constraint of imperfect channel estimation, we study the achievable sum spectral efficiency of the amplify-and-forward (AF) a...
CommonCrawl
It follows that $h(x\wedge y)=h(x)\wedge h(y)$, $h(0)=0$, $h(1)=1$. Remark: The term-equivalence with Boolean algebras is given by $x\wedge y=x\cdot y$, $-x=x+1$, $x\vee y=-(-x\wedge -y)$ and $x+y=(x\vee y)\wedge -(x\wedge y)$. Example 1: $\langle \mathcal P(S), \cup ,\emptyset, \cap, S, -\rangle$, the collection of su...
CommonCrawl
Volume 4, Number 1 (2006), 93-116. In this paper, we study contact structures on any open $3$-manifold $V$ that is the interior of a compact $3$-manifold. To do this, we introduce new proper contact isotopy invariants called the slope at infinity and the division number at infinity. We first prove several classificatio...
CommonCrawl
Mostly on Quora (cf) now. Give me a heads-up if you need anything regarding cyber warfare–I'm likely the top ten on the island (actually, could be the top three and you won't know who the other two are, but that's hardly the point). Gmail. Meet in person. To-individual Fast, or cash only. To-individual Fast, or cash on...
CommonCrawl
While browsing the internet, of course using Internet Explorer without any adblocker, you have noticed a number of interesting competitions advertised in the panels on various webpages. In most of these competitions you need to answer a simple question, like how many triangles/squares/rectangles there are in a picture,...
CommonCrawl
Abstract: We study Type IIB supergravity solutions with spacetime of the form $AdS_6\times S^2$ warped over a Riemann surface $\Sigma$, where $\Sigma$ includes punctures around which the supergravity fields have non-trivial $SL(2,R)$ monodromy. Solutions without monodromy have a compelling interpretation as near-horizo...
CommonCrawl
We extend the recent investigation of G. Wasilkowski on the equivalence of weighted anchored and ANOVA $L_1$ and $L_\infty$ norms of function spaces with mixed partial derivatives of order one. Among other norms, we consider $L_p$ norms for $1\le p\le \infty$ and confirm the conjecture that for product weights, summabi...
CommonCrawl
Abstract: We study the necking dynamics of a filament of complex fluid or soft solid in uniaxial tensile stretching at constant imposed Hencky strain rate $\dot\varepsilon$, by means of linear stability analysis and nonlinear (slender filament) simulations. We demonstrate necking to be an intrinsic flow instability tha...
CommonCrawl
A martingale is a sequence of random variables that maintain their future expected value conditioned on the past. A $[0,1]$-bounded martingale is said to polarize if it converges in the limit to either $0$ or $1$ with probability $1$. A martingale is said to polarize strongly, if in $t$ steps it is sub-exponentially cl...
CommonCrawl
I'm a FORTRAN/NAG/SPSS/SAS/Cephes/MathCad/R user and I don't see where the functions like dnorm(mean, sd) are in Boost.Math? I'm a user of New SAS Functions for Computing Probabilities. I'm allegic to reading manuals and prefer to learn from examples. Fear not - you are not alone! Many examples are available for functi...
CommonCrawl
where $R$ is the DISCRETE random variable for the loss and $\alpha$ is the confidence level. which says CVaR is coherent for general loss distributions, including discrete distributions. I think that I was confused by other authors who were also confused with the definitions of CVaR. In particular, in the following pap...
CommonCrawl
Introduction to the work of "7 samurais" Abstract: This semester we plan to discuss the recent work of Abert-Bergeron-Biringer-Gelander-Nikolov-Raimbault-Samet) and to (hereafter 7s) that, among other things, discusses the asymptotic growth of the Betti numbers of compact locally symmetric manifolds $b_i(M)/vol(M)$ as ...
CommonCrawl
This page is intended to contain notes on what we discussed in individual classes. You can gain some cheap wiki points by adding a summary of a class here, calling attention to whatever highlights you feel are important, or adding onto a summary that someone else has already posted. Today we talked about the process of...
CommonCrawl
The first player picks a positive integer $X$. The second player gives a list of $k$ positive integers $Y_1, \ldots , Y_ k$ such that $(Y_1+1)(Y_2+1) \cdots (Y_ k+1) = X$, and gets $k$ points. Write a program that plays the second player. The input consists of a single integer $X$ satisfying $10^3 \le X \le 10^9$, givi...
CommonCrawl
Jacob, Thomas K and Pandit, Shashidhara S (1987) Spinel deoxidation equilibrium in the cobalt-manganese-aluminum-oxygen system: Experiment and modeling. In: International Journal for Materials Research/Zeitschrift für Metallkunde, 78 (9). pp. 652-656. The concentration and chemical potential of O in molten Co-Mn alloys...
CommonCrawl
Today, we will discuss about the Daily Magic Spell proposed on January 6, 2017. Problem: Suppose you have a club of $20$ members. The club chooses four officers: President, Vice-President, Treasurer, and Secretary. They also choose someone to be in charge of fundraising. The four officers must all be different, but the...
CommonCrawl
There are a few topics that I wish were taught in an introduction to statistics undergraduate course. One of those topics is Bayesian Statistics, the other is Statistical Power. In this post, I go through the analysis of flipping coins, and how to calculate statistical power for determining if a coin is biased or fair....
CommonCrawl
I will discuss the interplay between (abstract) square functions that I shall explain and bounded functional calculi. Part of these results are explicitly thought for any abstract functional calculus, parts more specific to the $H^\infty$-calculus developed by Alan McIntosh. I will try to break down the abstract result...
CommonCrawl
Abstract: We prove that any Boolean algebra with the subsequential completeness property contains an independent family of size continuum. This improves a result of Argyros from the 80ties which asserted the existence of an uncountable independent family. In fact we prove it for a bigger class of Boolean algebras satis...
CommonCrawl
How to prove that a $3 \times 3$ Magic Square must have $5$ in its middle cell?, Mathematics, May 18, 2016. How to reduce the low-rank matrix completion problem to integer programming?, Computer Science, April 18, 2017. Toeplitz matrix nearest to a given (symmetric) matrix, MathOverflow, March 15, 2018. Writing $(x^2 +...
CommonCrawl
The numerical range of an $n\times n$ matrix is determined by an $n$ degree hyperbolic ternary form. Helton-Vinnikov confirmed conversely that an $n$ degree hyperbolic ternary form admits a symmetric determinantal representation. We determine the types of Riemann theta functions appearing in the Helton-Vinnikov formula...
CommonCrawl
The 'lmvar' package fits a Gaussian linear model. It differs from a classical linear model in that the variance is not constant. Instead, the variance has its own model, comparable to the model for the expected value. The classical linear model is provided by the function 'lm' in the package 'stats'. Working with the p...
CommonCrawl
Abstract: Let $G$ be a linear algebraic group defined over the field of rational numbers and subject to certain conditions, let $G(\mathbf R)$ be its group of real points, and let $G(\mathbf Z,m)$ be a congruence-subgroup of its group of integer points. In this paper it is proved that, using a recursive procedure, one ...
CommonCrawl
What do the local systems in Lusztig's perverse sheaves on quiver varieties look like? In "Quivers, perverse sheaves and quantized enveloping algebras," Lusztig defines a category of perverse sheaves on the moduli stack of representations of a quiver. These perverse sheaves are defined as summands of the pushforwards o...
CommonCrawl
Darren Lee Hitt, Kevin R. Gagne, Michael Ryan McDevitt . Aerospace, , 5, 2018. This study focused on the development of a chemical micropropulsion system suitable for primary propulsion and/or attitude control for a nanosatellite. Due to the limitations and expense of current micropropulsion technologies, few nanosatel...
CommonCrawl
Decision trees are one of the oldest and most widely-used machine learning models, due to the fact that they work well with noisy or missing data, can easily be ensembled to form more robust predictors, and are incredibly fast at runtime. Moreover, you can directly visual your model's learned logic, which means that it...
CommonCrawl
Given a field $(F, +, \cdot)$ we can restrict the coefficients $a_0, a_1, ..., a_n$ to be contained in $F$ and then study various properties of such polynomials that we are already familiar with (such as roots, factorability, etc…). We first formally define a polynomial over a field. Definition: If $(F, +, \cdot)$ is a...
CommonCrawl
There is 80% increase in an amount in 8 years at simple interest. What will be the compound interest on Rs.14,000 after 3 years at the same rate? In which of the given years, the number of candidates appeared from city C has maxi mum percentage of qualified candidates? What is the percentage of candidates qualified fro...
CommonCrawl
a. No, -2 is not a solution of the given equation. b. Yes, 2 is solution of the given equation. First, simplify the equation 1.$4x+7=9x-3$ 2. Add 3 to both sides:$4x+10=9x$ 3. Subtract 4x from both sides: $10=5x$ a. Plug in -2 to see if it makes the equation true: 1. $10=5\times-2$ 2. $10=-10$ The equation is not true,...
CommonCrawl
It is shown by elementary continuity considerations tht there exist values of the two accessory parameters of a Fuchsian differential equation with the singularities ?$a$?, ?$b$?, ?$c$?, ?$d$?. ?$\infty$? such that the ratio ?$w$? of two independent solutions is single valued in the complex plane furnished with the sli...
CommonCrawl
One of the most important decisions when designing an A/B test is choosing the goal of the test. After all, if you don't have the right goal the results of the test won't be of any use. It is particularly important when using Myna as Myna dynamically changes the proportion in which variants as displayed to maximise the...
CommonCrawl
Mathias, PC and Patnaik, LM (1990) Systolic Evaluation of Polynomial Expressions. In: IEEE Transactions on Computers, 39 (5). pp. 653-665. High-speed evaluation of a large number of polynomial expressions has potential applications in the modeling and real-time display of objects in computer graphics. Using VLSI techni...
CommonCrawl
If a the row reduced form of a $n \times n$ matrix is the equivalent $n \times n$ identity matrix. Is the $n \times n$ matrix always invertible? Furthermore if the row reduced form is not the equivalent $n \times n$ identity matrix is the $n \times n$ matrix not invertible? What you said is true. Being invertible is eq...
CommonCrawl
We will study shock waves (i.e. a disturbance skirting regions with tremendously different properties e.g. of density, pressure, temperature) arising in systems of 1st order PDEs modeling e.g. transport phenomena, conservation laws, gas dynamics, wave equations, traffic flows. On this way, we will learn main notions an...
CommonCrawl
We provide an introduction to POD-MOR with focus on (nonlinear) parametric PDEs and (nonlinear) time-dependent PDEs, and PDE constrained optimization with POD surrogate models as application. We cover the relation of POD and SVD, POD from the $\infty$-dimensional perspective, Reduction of nonlinearities, Certification ...
CommonCrawl
Abstract : Algorithm UCB1 for multi-armed bandit problem has already been extended to Algorithm UCT (Upper bound Confidence for Tree) which works for minimax tree search. We have developed a Monte-Carlo Go program, MoGo, which is the first computer Go program using UCT. We explain our modification of UCT for Go applica...
CommonCrawl
Problems in which optimal series of products and their component parts have to be determined. An optimal series of products is a set of various types of products selected from an initial series that enables one to meet all forms of demands on the required quantity with minimum total expenditure in the course of the dev...
CommonCrawl
The workshop is organized as extra workshop (besides the three major workshops) of the trimester on "Types, Sets and Constructions" of the Hausdorff Research Institute for Mathematics (HIM), see the official announcement on the HIM site. All talks are held in HIM lecture hall, Poppelsdorfer Allee 45, Bonn. Most partici...
CommonCrawl
"What is the Largest Possible Prime Number?" First it appears this question is outside the bounds of good mathematical reasoning for two main reasons. 1) The concept of 'largest possible prime' is ill-defined. 2) The concept also appears to be ill-logical based on reason (1). For the same reason there is 'no largest pr...
CommonCrawl
In connection with National Mathematics Day, Kerala School of Mathemtics iconducted a 3 day workshop for High School and Higher Secondary School Mathematics Teachers. Topics Covered: Teaching of mathematics, and on topics relevant to school teachers. KSoM conducted a workshop for M.Sc. students (those who have complete...
CommonCrawl
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow. Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discus...
CommonCrawl
The image below shows a solved pentomino puzzle in a $6\times10$ grid. Your challenge is to divide the rectangle along the black lines only to make two pieces that can be rearranged and fit together again to make the $7\times9$ rectangle below with three holes in it. The shapes to the bottom right of the original image...
CommonCrawl
why is it that people don't die from bruises? What mechanism does the human body have to keep this from happening? This statement is primarily true only for blood clots within blood vessels, especially in the veins. When you are talking about bruising, you are talking about clots outside of the vasculature. When a bloo...
CommonCrawl
I'm watching MIT chemistry by Donald Sadoway. In one of his lectures devoted to solutions and phase separation, he performs experiments with absinthe. First he mixes absinthe with 5 $\times$ water which turns into milky louche. Then he adds some cognac and the mixture becomes transparent again. I don't grasp his explan...
CommonCrawl
Fifth year graduate student, interested in algebraic geometry, representation theory, and number theory. 4 Is it appropriate to ask questions about previously unexplored concepts? 15 What is the archimedean Hecke algebra? 14 What's the point of a Whittaker model? 11 Why are anisotropic tori compact? 11 How does the Ber...
CommonCrawl
Abstract: We prove the global asymptotic equivalence between the experiments generated by the discrete (high frequency) or continuous observation of a path of a time inhomogeneous jump-diffusion process and a Gaussian white noise experiment. Here, the considered parameter is the drift function, and we suppose that the ...
CommonCrawl
Professor Zac is trying to finish a collection of tasks during the first week at the start of the term. He knows precisely how long each task will take, down to the millisecond. Unfortunately, it is also Frosh Week. Zac's office window has a clear view of the stage where loud music is played. He cannot focus on any tas...
CommonCrawl
1(a) Differentiate between Plugging and generating mode in AC Motor. 1(b) With the help of diagram explain principle of working of induction heating. 1(c) For a single phase full converter with inductive load, if the source inductance Ls is considered Find the average output voltage and reduction in the average output ...
CommonCrawl
Abstract : The paper presents designs that allow detection of mixed effects when performing preliminary screening of the inputs of a scalar function of $d$ input factors, in the spirit of Morris' Elementary Effects approach. We introduce the class of $(d,c)$-cycle equitable designs as those that enable computation of e...
CommonCrawl
I am trying to solve a set of coupled, nonlinear ODEs. The only dependent variable is a 1-dimensional spatial coordinate, let's call it $x$. For now, I've managed to approximate away some of the coupling between the equations, such that the first one doesn't depend on the second one at all. I solved it with FEM without...
CommonCrawl
Last week our paper titled "Fully-Coupled Simulation of Cosmic Reionization. I: Numerical Methods and Tests" was accepted to the Astrophysical Journal Supplement. This paper was written in collaboration with a few colleagues in UC-San Diego, and SMU. I was added to this work during the review process when it was determ...
CommonCrawl
this que is belong to which topic?? In an $N \times M$ array multiplier we have $N \times M$ AND gates and $(M-1),$ $N-bit$ adders are used. Refer this article page 16. according to this it will take O(n) in one level of computation?? this may help, in last 10 mins of the video, time complexity is explained! can you pl...
CommonCrawl
In this paper, we introduce the concept of IVF weakly continuity and investigate some characterizations for IVF weakly continuous mappings on the interval-valued fuzzy topological spaces. We introduce and study the concepts of almost IVF compactness and nearly IVF compactness. M. B. Gorzalczany, A method of inference i...
CommonCrawl
The thermodynamic properties of single crystal Niobium are presented. Anomalies in thermal expansion, specific heat, elastic constants, and electrical resistivity are observed. The linear coefficient of thermal expansion, $\alpha$, exhibits a large, broad peak in the range 200 K $<$ T $<$ 280 K, with a nearly two-fold ...
CommonCrawl
Abstract: We report the generation of a macroscopic singlet state in a cold atomic sample via quantum non-demolition (QND) measurement induced spin squeezing. We observe 3 dB of spin squeezing and detect entanglement of up to $5.5\times10^5 $ atoms with $5\sigma$ statistical significance using a generalized spin squeez...
CommonCrawl
While what I am expecting is that the first four values of $y$ to be 1,2,3,4 say since I've set the first four entries of innov to be zero. Can someone help me with this problem? Thanks in advance. This gives the solution: $y_1=-7.086890,\, y_2=-2.607843,\, y_3=-3.254902\;\,$ and $\,y_4=-3.901961$. The vector $(1, 1.33...
CommonCrawl
Abstract: We consider a set of transmitters broadcasting simultaneously on the same frequency under the SINR model. Transmission power may vary from one transmitter to another, and a signal's strength decreases (path loss or path attenuation) by some constant power $\alpha$ of the distance traveled. Roughly, a receiver...
CommonCrawl
We introduce smooth entropy as a measure for the number of almost uniform random bits that can be extracted from a source by probabilistic algorithms. The extraction process should be universal in the sense that it does not require the distribution of the source to be known. Rather, it should work for all sources with ...
CommonCrawl
GPUs are designed to work well on structured data. Parallelizing graph algorithms on GPUs is challenging due to the irregular memory accesses involved in graph traversals. In particular, three important GPU-specific aspects affect performance: coalescing, memory latency, and thread-divergence. In this work, we tame the...
CommonCrawl
For a finite group $H$‎, ‎let $cs(H)$ denote the set of non-trivial conjugacy class sizes of $H$ and $OC(H)$ be the set of the order components of $H$‎. ‎In this paper‎, ‎we show that if $S$ is a finite simple group with the disconnected prime graph and $G$ is a finite group such that $cs(S)=cs(G)$‎, ‎then $|S|=|G/Z(G)...
CommonCrawl
Definition and how to solve linear equations. The expression: is an equation. That is, an equality that is satisfied for some value of . The left side of the equality is named the first member of the equation and the right one, the second member. In this equality there are known numbers (and ) and one not known number ...
CommonCrawl
I have a set of data points $f(x_i)$ for some instances $x_i$, $i\leq N$. Also, I was able to fit the curve asymptotically due to prior knowledge, i.e. I was able to fit the data to functional forms $f(x\ll x_0), f(x\gg x_0)$. How can I proceed in order to connect the two regions smoothly to fit the entire data points ...
CommonCrawl
We will now look at the algorithm for the fixed point method in approximating a root of a function. Obtain a function $f$ in the appropriate form ($f(x) = 0 \Leftrightarrow x = g(x)$) and assume that a root $\alpha$ exists. Obtain an initial approximation $x_0$, a maximum number of iterations, and an error tolerance $\...
CommonCrawl
Turns out, that if you're standing at that point on the hill, you look all around and you find that the best direction is to take a little step downhill is roughly that direction. Okay, and now you're at this new point on your hill. You're gonna, again, look all around and say what direction should I step in order to t...
CommonCrawl
Your task is to count the number of one bits in integers between $1 \ldots n$. The only input line has an integer $n$. Print the number of one bits in integers between $1 \ldots n$. Explanation: The bit representations of $1 \ldots 7$ are 1, 10, 11, 100, 101, 110, and 111, so there are a total of 12 one bits.
CommonCrawl
Multichannel blind deconvolution is the problem of recovering an unknown signal $f$ and multiple unknown channels $x_i$ from convolutional measurements $y_i=x_i \circledast f$ ($i=1,2,\dots,N$). We consider the case where the $x_i$'s are sparse, and convolution with $f$ is invertible. Our nonconvex optimization formula...
CommonCrawl
Is the following Boolean expression satisfiable? Justify your answer. To be satisfiable, $x_1$ must be true, otherwise (2) is false and its AND would falsify the entire expression. If $x_1$ is true, then $x_3$ must be true to make (6) true, because $x_1$ being true makes (5) false, and (6) must be true for the ((5) OR ...
CommonCrawl
A matrix whose all elements are arranged in a column is called a Column matrix. Column matrix is a type of matrix and it is also called as a column vector. All elements in this type of matrix are arranged in different rows but only in one column. $M$ is a column matrix in general form and it is known as a column matrix...
CommonCrawl
You have a standard chessboard $(8\times8)$. And you have a lot of numbers from the set $[-1, 0, 1]$. You have to place one number in each square so that the sums on each row, column, and the two diagonals are different. To clarify, they must all be unique, regardless of direction (not just different among rows or colu...
CommonCrawl
The evolution of a large-scale poloidal magnetic field is in an accretion disc is an important problem because it determines the launching of winds and the feasibility of the magnetorotational instability to generate turbulence or channel flows. Recent studies, both semi-analytic and numerical simulations, have highlig...
CommonCrawl
Yves Achdou, Mathieu Lauri\u00E8re. On the system of partial differential equations arising in mean field type control. Discrete & Continuous Dynamical Systems - A, 2015, 35(9): 3879-3900. doi: 10.3934\/dcds.2015.35.3879. Marianne Akian, St\u00E9phane Gaubert, Antoine Hochart. Ergodicity conditions for zero-sum games. ...
CommonCrawl
The superalgebra tag has no usage guidance. Can you quantize Grassmann-even superfields in the same fashion as Boson fields? How are supersymmetry transformations even defined? Why do we want supersymmetry transformations to form a group? How to prove the translation generator commutes with the spinors in SUSY algebra?...
CommonCrawl
How do you measure numerically the central charge of a system? I was asked by my numerical calculus teacher (undergraduate course) to solve for roots of a transcendental or a non-linear equation using some numerical method. The problem is that this equation has to be related with physics, and I don't know any equation ...
CommonCrawl
Farmer John has installed a new system of $N-1$ pipes to transport milk between the $N$ stalls in his barn ($2 \leq N \leq 50,000$), conveniently numbered $1 \ldots N$. Each pipe connects a pair of stalls, and all stalls are connected to each-other via paths of pipes. $t_i$, as well as through every stall along the pat...
CommonCrawl
for events the day of Thursday, September 6, 2018. Abstract: Nakada's $\alpha$-expansions interpolate between three classical continued fractions: regular (obtained at $\alpha=1$), Hurwitz singular (obtained at $\alpha$=little golden mean), and nearest integer (obtained at $\alpha$=1/2). This talk will consider $\alpha...
CommonCrawl
Abstract: A simplified Gyunaydin–Gyursey model, in which a Majorana field constructed using quaternions combines a lepton and a color quark, is considered. Formulation of the gauge principle directly in the quaternions leads to the appearance of two vector quaternion gauge fields, these corresponding to the decompositi...
CommonCrawl
Click the License Report tab. From the Select Deployments list, select a deployment (for example, BMC Remedy AR System Server (ARS). To select multiple deployments, use your CTRL and Shift keys while selecting deployments. To add more deployments to the list, see Adding deployments. From the Duration list, select a tim...
CommonCrawl