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• ### Waves along fractal coastlines: From fractal arithmetic to wave equations(1707.06225) Dec. 25, 2018 math-ph, math.MP, nlin.CD, nlin.PS, math.DS Beginning with addition and multiplication which are intrinsic to a Koch-type curve, I formulate and solve a wave equation that describes wave propagation along a fracta...
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시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율 2 초 512 MB 0 0 0 0.000% ## 문제 Lora is playing an online puzzle game. She receives an undirected graph with N vertices, numbered from 1 to N. The graph is such that between every two distinct vertices there is an edge, colored either in blue, or in red. We will call the graph redconnecte...
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# q-Pochhammer symbol (Redirected from Q-factorial) In mathematics, in the area of combinatorics, a q-Pochhammer symbol, also called a q-shifted factorial, is a q-analog of the common Pochhammer symbol. It is defined as $(a;q)_n = \prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^{n-1})$ with $(a;q)_0 = 1$...
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# Samrat Man Singh Email: mail@samrat.me Hi! I’m Samrat, a programmer from Nepal. # Summary of recent reading(April-June 2020) ### 2020-07-04 • Deep Work(Audiobook) by Cal Newport: Somewhat of a re-read. I read most of the book a few years ago but never finished it. Like most of the books in the category, most of ...
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# Express f in terms of z Let $$f(x+iy) = \frac{x-1-iy}{(x-1)^2+y^2}$$ first of all it asks me to show that f satisfies the Cauchy-Riemann equation which I am able to do by seperating into real and imaginary $u + iv : u(x,y),v(x,y)$ and then partially differentiating wrt x and y and just show that $\frac{\partial u}{...
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# How can the logical equivalence for proof by contradiction be represented without $\bot$? Proof by contradiction (general): assume $$\lnot P$$ and derive a contradiction. This corresponds, in the framework of propositional logic, to the equivalence $${\displaystyle {\text{p}}\equiv {\text{p}}\vee \bot \equiv \lnot ...
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In this chapter learners will again encounter the reactions of selected metals with oxygen that were used as examples in the previous chapter. An unbalanced stoichiometric equation doesn't have equal number of atoms of each element on both sides. Magnesium oxide forms from magnesium metal and oxygen gas. No, they will ...
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Algorithm for graph with nodes grouped into sets I have a weighted graph. The nodes of this graph are grouped into sets, and each node has only one corresponding set (no overlapping). Nodes in the same set do not have edges between them. An edge only connects nodes that are in different sets. I want to select one nod...
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<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" /> # Factors Affecting Gas Pressure ## Temperature, pressure, volume and the amount of a gas influence its pressure. Estimated5 minsto complete % Progress Practice Factors Affecting Gas Pr...
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# Overdetermined system - showing that there are no roots that satisfy the set of equations We consider an overdetermined set of equations, consisting of two equations for one complex variable $x$. I want to show that there are no roots for $x$ in the complex unit disc but without the origin, i.e. for $0 < |x| < 1$. ...
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# Re: Sideways longtable Yup, I hadn't tested it with another (portrait) page and could get the difference... :P Thanks a lot for your help. ------------------------------------------------- Julio Rojas jcredbe...@gmail.com On Tue, Nov 8, 2016 at 12:27 PM, racoon <xraco...@gmx.de> wrote: > On 08.11.2016 15:50, Jul...
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# Using Dynamic TOPMODEL The purpose of this vignette is to provide an outline of the steps needed to perform a Dynamic TOPMODEL simulation and introduce the formats of the data input and returned. The data used in this example comes from Swindale and is contained within the package and can be loaded with library(dy...
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# Immanant of a matrix Immanant redirects here; it should not be confused with the philosophical immanent. In mathematics, the immanant of a matrix was defined by Dudley E. Littlewood and Archibald Read Richardson as a generalisation of the concepts of determinant and permanent. Let ${\displaystyle \lambda =(\lambda...
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# Deciles and Percentiles Deciles Deciles are the partition values which divide the set of observations into ten equal parts. There are nine deciles: ${D_1},{D_2},{D_3}, \ldots ,{D_9}$. The first decile is ${D_1}$, which is a point which has 10% of the observations below it. Deciles for Individual Observations (Ungr...
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Item Successfully Added to Cart An error was encountered while trying to add the item to the cart. Please try again. Please make all selections above before adding to cart Copy To Clipboard Successfully Copied! Lie Groups, Number Theory, and Vertex Algebras Edited by: Dražen Adamović University of Zagreb, Zagreb, Croa...
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mersenneforum.org > Data Strategic Double Clicking Register FAQ Search Today's Posts Mark Forums Read 2017-02-13, 17:05 #1343 Madpoo Serpentine Vermin Jar     Jul 2014 2×5×7×47 Posts New list Here's a new list. It includes any machine with at least 1 bad result over it's lifetime, and zero good results over it's lif...
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# What is the vertex, axis of symmetry, the maximum or minimum value, and the range of parabola y=x^2-6x+2? Jun 14, 2015 y = x^2 - 6x + 2 #### Explanation: x of vertex = x of axis of symmetry = $x = \left(- \frac{b}{2} a\right) = \frac{6}{2} = 3$ y of vertex: y = f(3) = 9 - 18 + 2 = -7 Since a > 0. the parabola o...
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# zbMATH — the first resource for mathematics Attractors for modulation equations on unbounded domains – existence and comparison. (English) Zbl 0833.35016 The authors study the long time behaviour of solutions for a certain class of evolutionary equations on unbounded domains, in particular, the Swift-Hohenberg and G...
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Execute coroutines in pool I want to run all the coroutines from the list in a pool of constant size and would like to ask if this is the right way how to achieve it. Is there any built in solution for this problem? I have not found any. def subprocess_pool(coroutines, pool_size=3): loop = asyncio.get_event_loop() ev...
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# The effectiveness of college teaching What students hear the first day of class: BLAH BLAH BLAH BLAH BLAH Syllabus BLAH BLAH BLAH BLAH Mid Term Paper BLAH check your email often BLAH BLAH BLAH That’s all for now. BLAH BLAH BLAH Around mid term: BLAH BLAH BLAH BLAH BLAH BLAH syllabus BLAH BLAH BLAH BLAH mid term p...
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# Euler-Lagrange equation derivation by silmaril89 Tags: action, derivation, euler-lagrange P: 84 I'm trying to understand the derivation of the Euler-Lagrange equation from the classical action. This has been my main source so far. The issue I'm having is proving the following equivalence: $$\int_{t_1}^{t_2} [L(x_{t...
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# Simple True, False Classical Mechanics Level pending True or False? $$\quad$$ When light travels from an optically rarer to denser medium the speed of light reduces. ×
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## A bivariant Chern-Connes character.(English)Zbl 0798.46051 The study begun in the author’s paper “A bivariant Chern character for $$p$$-summable quasihomomorphisms” [$$K$$-theory 5, No. 3, 193-211 (1991; Zbl 0784.19001)] where a character is defined with values in the Jones- Kassel bivariant cyclic group is continu...
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# Python for X-ray Here are the python modules I wrote and maintain on github. This is the module I use the most. I initially wrote this to practice harnessing the power of using objects in python. It is now a stand-alone module that is used to parse SPEC files. There are two main classes: the SpecFile class is initi...
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# Is $\mathcal{P}= \{ P: E[XX^T] \preceq A\}$ is sequentially compact? by Lisa   Last Updated January 12, 2018 20:20 PM Let $\mathcal{P}$ be a set of probability distributions on $\mathbb{R}^n$ such that \begin{align} \mathcal{P}= \{ P: E[XX^T] \preceq A\}. \end{align} where $A$ is a positive-definite matrix and wher...
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chapter  2 17 Pages ## Cost economics for processing plants Standard microeconomic theory tends to present cost analysis using nice smooth curves so that students can fi nd where tangencies occur and the optimal point at which to operate. Unfortunately, in the real world, not all inputs are infi nitely divisible. You c...
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## anonymous one year ago Can anyone please explain The Binomial Theorem and Pascal’s Triangle to me? I will medal?! 1. anonymous Practice problems would be great too because I have no idea how to do it 2. ganeshie8 First of all, recall that a "binomial" is a polynomial with "two" terms. so the theorem must have so...
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# Math Help - By comparing areas find the value of a log 1. ## By comparing areas find the value of a log By comparing areas, show that $\frac{1}{3}<\ln 1.5 < \frac{5}{12}$ 2. $ln 1.5=ln \frac{3}{2}=ln 3-ln 2=\int \frac{1}{x}$ (from 2 to 3)
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Function to conduct multivariate regression analyses of survey data with the item count technique, also known as the list experiment, using predicted responses from list experiments as predictors in outcome regression models. ictreg.joint(formula, data = parent.frame(), treat = "treat", J, outcome = "outcome", outcome...
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# Specific heat capacity of duct material Specific isobaric volumetric heat capacity of duct material per K at 20$^{\circ}$C The values are taken from standard IEC 853-2 Ed.1.0. Symbol $\sigma_{d}$ Unit J/K.m$^3$ Related $M_{j}$ Used in $Q_{d}$ Choices MaterialValue Metal3800000.0 Fibre2000000.0 Cem1900000.0 PVC1700...
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Sorry if this is a dumb question, but I really can't seem to figure it out, and of course Facebook help is of... no help at all (as usual). I manage a bunch of Facebook pages, but never had the necessity to add notes to them; now I have it. So I went to the page settings and enabled the "Notes" applications; and "Note...
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zbMATH — the first resource for mathematics Imbedding theorems for spaces of UMD-valued functions. (English. Russian original) Zbl 0836.46022 Russ. Acad. Sci., Dokl., Math. 47, No. 2, 274-277 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 4, 408-410 (1993). Imbedding theorems are presented for an...
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MathSciNet bibliographic data MR2842375 93C23 (93B36) Bay, Nguyen S.; Linh, Nguyen M.; Phat, Vu N. Robust $H_\infty$$H_\infty$ control of linear time-varying systems with mixed delays in the Hilbert space. Optimal Control Appl. Methods 32 (2011), no. 5, 545–557. Article For users without a MathSciNet license , Relay S...
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# How do you convert x^2/4 + y^2 = 4 into polar form? Oct 20, 2016 $r = \frac{4}{\sqrt{{\cos}^{2} \theta + 4 {\sin}^{2} \theta}}$ #### Explanation: Let $x = r \cos \theta$ and $y = r \sin \theta$ then ${x}^{2} / 4 + {y}^{2} = 4$ $\implies$ $\frac{{r}^{2} {\cos}^{2} \theta}{4} + {r}^{2} {\sin}^{2} \theta = 4$ Simpli...
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• entries 14 17 • views 5641 # Asteroids Part 2: Sprites and Asteroids 243 views Download C# source code and ClickOnce installer - requires .NET Framework 2.0 Designing the Asteroid class Most of the movement code is the same for the player and the asteroids. The asteroids' movement is somewhat simpler since they h...
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# Group homomorphism (Redirected from Group isomorphism) Main Article Discussion Related Articles  [?] Bibliography  [?] Citable Version  [?] This editable Main Article is under development and subject to a disclaimer. In group theory a group homomorphism is a map from one group to another group that preserves the ...
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# Koppe Accuracy Height and position accuracy are an essential feature of topographic maps with contour lines or elevation layers. For cartography in high mountains the correlations between accuracy of recording, scale, equidistance are highly important. The Koppe error formula was originated during alignment for long...
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A. Dense Array time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output Polycarp calls an array dense if the greater of any two adjacent elements is not more than twice bigger than the smaller. More formally, for any $i$ ($1 \le i \le n-1$), this condition must be s...
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## Differential and Integral Equations ### Existence of traveling-wave solutions to Boussinesq systems #### Abstract In this manuscript, the existence of traveling-wave solutions to Boussinesq systems \begin{equation*} \left\{ \begin{matrix} \eta_t +u_x+(\eta u)_x +au_{xxx}-b \eta_{xxt}=0, &\\ u_t + \eta_x +uu_x +c\...
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# R twice continuously differentiable function proof 1. Feb 10, 2009 ### irresistible r twice continuously differentiable function proof.... 1. The problem statement, all variables and given/known data Help if f:[a,b] $$\rightarrow$$ R is twice continuously differentiable, and f(x)$$\geq$$ 0 for all x in [a.b] and ...
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American Institute of Mathematical Sciences • Previous Article A study of comparison, existence and regularity of viscosity and weak solutions for quasilinear equations in the Heisenberg group • CPAA Home • This Issue • Next Article Entire solutions in nonlocal monostable equations: Asymmetric case May  2019, 18(3): 1...
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# aiida.restapi.translator.nodes.data package# Translator for data node class aiida.restapi.translator.nodes.data.DataTranslator(**kwargs)[source]# Translator relative to resource ‘data’ and aiida class ~aiida.orm.nodes.data.data.Data class Data(*args, source=None, **kwargs)# The base class for all Data nodes. Ai...
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# \SIrange[tophrase=dash] fails to render an en-dash When using \SIrange[tophrase=dash] to specify a range of numbers with units, the range phrase is literally specified as dash. The following MWE yields 10 mdash20 m as an output. MWE: \documentclass{article} \usepackage{siunitx} \begin{document} \SIrange[tophra...
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# Odd rectangle under reputation in meta profile There is an odd grey rectangle under the reputation on meta profile page. And it almost overlaps with label about top percentage just bellow it: If I open profile page on the main site, I see nothing like that: I think, that background on meta (caused by bg-black-050 ...
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# question about sensing resistors Status Not open for further replies. #### Triode ##### Active Member is a sensing resistor a special kind of resistor, or is it just a resistor that is being used to make current detection possible? The issue in particular is that I have this motor driver with a connection diagram ...
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Free Version Moderate # Gas Laws: Combined Gas Law CHEM-@JBJ0D A sample of gas with an initial volume of 11.0 L and a pressure of 2.5 atm is heated from 25.0 $^{o}$C to 75.0 $^{o}$C while the volume is decreased to 7.5 L. Calculate the final pressure in atm with this change in temperature and volume.
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# Capacitance of parrallel plates decrease 1. Feb 13, 2005 ### Alkatran Small question: The capacitance of parrallel plates decreases as you increase the distance between them, why? I know the voltage increases, because the electric field is constant, but how does this stop more charge from entering the plate? I me...
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# Characterize linear transformation of Dirichlet distributed variables Let $X=(X_1,....,X_K)\sim{}\text{Dir}(\alpha_1,...,\alpha_K)$ be a Dirichlet distribution with parameters $\alpha_1,...,\alpha_K$. Let $A$ be a non-singular linear map and $(Y_1,....,Y_K)=A(X_1,....,X_K)$. Is $(Y_1,....,Y_K)$ Dirichlet distributed...
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# Introduction Recent developments of CRISPR-Cas9 based homing endonuclease gene drive systems, either for the suppression or replacement of mosquito populations, have generated much interest in their use for control of mosquito-borne diseases (such as dengue, malaria, Chikungunya and Zika). This is because genetic co...
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# Diagonal argument applied to computable numbers Upon applying the Cantor diagonal argument to the enumerated list of all computable numbers, we produce a number not in it, but seems to be computable too, and that seems paradoxical. For clarity, let me state the argument formally. It suffices to consider the interva...
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40m QIL Cryo_Lab CTN SUS_Lab TCS_Lab OMC_Lab CRIME_Lab FEA ENG_Labs OptContFac Mariner WBEEShop 40m Log, Page 44 of 348 Not logged in ID Date Author Type Category Subject 4793   Tue Jun 7 11:39:27 2011 JamieUpdateSUSNo binary output module in ETMY Quote: 1) The FM1 files in the XXSEN modules should switch the analog ...
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# Tag Info 0 Your interpretation of removable singularity is not the accepted one. You are not required to prove that $f$ is not analytic at $0$. For example $f(z)=0$ for all $z \neq 0$ has a removable singularity at $0$. 0 You are right: we have that $b_n=0$ for all $n \ge 1$ and therefore $f(z)=\sum_{n=0}^{\infty...
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CGAL 5.0.2 - Algebraic Kernel Univariate Algebraic Kernel Concepts conceptAlgebraicKernel_d_1::ApproximateAbsolute_1 A model of AlgebraicKernel_d_1::ApproximateAbsolute_1 is an AdaptableBinaryFunction that computes an approximation of an AlgebraicKernel_d_1::Algebraic_real_1 value with respect to a given absolute pre...
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# Chocolate Children break chocolate first to third and then every part of another half. What kind got each child? Draw a picture. What part would have received if each piece have halved? Correct result: x =  0.167 y =  0.084 #### Solution: $a=1/3=\dfrac{ 1 }{ 3 } \doteq 0.3333 \ \\ x=a/2=0.3333/2=\dfrac{ 1 }{ 6 }...
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# Measurements of the Decays $B^0 \to \bar{D}^0p\bar{p}$, $B^0 \to \bar{D}^{*0}p\bar{p}$, $B^0 \to D^{-}p\bar{p}\pi^+$, and $B^0 \to D^{*-}p\bar{p}\pi^+$ Abstract : We present measurements of branching fractions of $B^0$ decays to multi-body final states containing protons, based on 232 million $\Upsilon(4S)\to B\bar{...
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# Difference between revisions of "2017 AMC 10A Problems/Problem 20" ## Problem Let $S(n)$ equal the sum of the digits of positive integer $n$. For example, $S(1507) = 13$. For a particular positive integer $n$, $S(n) = 1274$. Which of the following could be the value of $S(n+1)$? $\textbf{(A)}\ 1 \qquad\textbf{(B)}...
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# latex_table_cont: Produce (LaTeX) Summaries for Continuous Variables In papeR: A Toolbox for Writing Pretty Papers and Reports ## Description The function produces LaTeX tables with summary statistics for continous variables. It makes use of the booktabs package in LaTeX to obtain tables with a nice layout. ## Usa...
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## Wednesday, June 25, 2014 ### We'll be posting the name of the winner of "Caroline Crimes" on Saturday As a matter of fact, we'll be posting two winners--one for a copy of Carolina Crimes donated by Bonnie Wisler and one for a copy of Dean K. Miller's book. You'll have to stop by tomorrow and leave a comment to qua...
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# Why don't small planes use turbine (turboprop) engines? Turboprop engines are more fuel efficient1, lighter for the same power, mechanically simpler and consequently more reliable. They are also slightly easier to operate (no need to fiddle with mixture) and burn cheaper fuel. As a result they replaced piston engine...
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Multiplicative group of integers Summary Although $\mathbb Z / n$ does not generally form a group under multiplcation, $(\mathbb Z / n)^\times$—i.e., only those $a \in \mathbb Z / n$ coprime with $n$—does. This group is called the multiplicative group of integers mod $n$ and is denoted $(\mathbb Z / n)^\times$. Idea Ge...
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# How to automatically position new peptides into the binding site of a enzime, in order to run peptide-protein docking approaches 5 posts / 0 new How to automatically position new peptides into the binding site of a enzime, in order to run peptide-protein docking approaches #1 Hello, I would like to know how to auto...
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# 4.7. Known limitations of using GPUs If you use DeePMD-kit in a GPU environment, the acceptable value range of some variables is additionally restricted compared to the CPU environment due to the software’s GPU implementations: 1. The number of atom types of a given system must be less than 128. 2. The maximum di...
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# computing light attenuation using textures This topic is 4450 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic. ## Recommended Posts Can anyone explain how to compute light attenuation using textures ala doom3. I am setting up my lights so that they have a boundin...
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## Monday Math 107 The Laplace Transform Part 8: Convolution Let’s consider two functions, f(t) and g(t), defined for t≥0. Next, we denote their Laplace transforms by F(s) and G(s), respectively. What, then, might we say about the product of those transforms, F(s)G(s)? From the definition of the Laplace transform, w...
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# Degrees of Freedom of a Unitary Matrix Proof My book states that a 3$\times$3 unitary matrix has 9 degrees of freedom, but I have trouble seeing why that is true. So I want to try and show that an $n\times n$ matrix has $n^2$ degrees of freedom. Base case $n=1$: This is just a matrix with one entry which has length...
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# Differential Equation (Bernoulli?) ## Homework Statement Solve the differential equation: √(y)*(3*y'+y)=x ## Homework Equations Bernoulli equations: dy/dx+P(x)y=Q(x)yn dv/dx+(1-n)P(x)v=(1-n)Q(x) Integration by Parts: ∫u*dv = u*v - ∫v*du ## The Attempt at a Solution Since it's not separable, failed the homogene...
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# Could you help me with this? Justify the statement with an example: "Formality does not depend on what happens to a solute after it is dissolved in water, but depends on amount of solute dissolved in water." Jul 5, 2015 Here's how you can think about molarity and formality. #### Explanation: Molarity and formalit...
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# Finding non-trivial NFA that accepts all short strings It is well-known that every non-trivial NFA of $k$ states (an NFA that does not accept all strings) rejects a string of length at most $2^k$. But is this upper bound asymptotically tight ? I found a rough sub-exponential bound in this strategy. Let $p_i$ be a...
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# Storage Daemon Configuration¶ The Bareos Storage Daemon configuration file has relatively few resource definitions. However, due to the great variation in backup media and system capabilities, the storage daemon must be highly configurable. As a consequence, there are quite a large number of directives in the Device...
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Search: All articles in the CMB digital archive with keyword $L^p$-cohomology Group Cohomology and $L^p$-Cohomology of Finitely Generated Groups Let $G$ be a finitely generated, infinite group, let $p>1$, and let $L^p(G)$ denote the Banach space $\{ \sum_{x\in G} a_xx \mid \sum_{x\in G} |a_x |^p < \infty \}$. In this ...
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Q5.The altitude of right triangle is 7 cm less than its base. If, hypotenuse is 13 cm. Find the other two sides. Let the base of the right triangle be $$x$$. The altitude can be represented by $$x - 7$$. In a right triangle, $$Hypotenuse^2 = Base^2 + Altitude^2$$ (Pythagoras Theorem) $$13^2 = x^2 + (x - 7)^2$$ $$169 =...
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# derivatives Printable View • Oct 19th 2011, 06:16 AM consevans derivatives Can anyone help me find the derivative of 3xe^-kx -thank you • Oct 19th 2011, 06:28 AM BAdhi Re: derivatives use chain rule, $u=3x$ and $v=e^{-kx}$ • Oct 19th 2011, 07:14 AM consevans Re: derivatives don't you have to use a combination of th...
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### Home > PC > Chapter 9 > Lesson 9.3.5 > Problem9-155 9-155. A small cart travels a distance of $0.1t^{3}$ feet in the first $t$ seconds of travel for $0 ≤ t ≤ 10$. 1. Find its velocity after $5$ seconds. First find the slope function. $\lim\limits_{ h \to 0} \frac{f(t+h)-f(t)}{t+h-t}$ Then find $d^\prime \left...
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### Session Y45: Focus Session: Physics of Cancer II 8:00 AM–11:00 AM, Friday, March 22, 2013 Hilton Baltimore Room: Holiday Ballroom 4 Chair: Larry Nagahara, National Institutes of Health Abstract ID: BAPS.2013.MAR.Y45.1 ### Abstract: Y45.00001 : Collective Behavior of Brain Tumor Cells: the Role of Hypoxia 8:00 ...
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# I need some help on this question for my stats homework, any help is appreciated! Thank... ###### Question: I need some help on this question for my stats homework, any help is appreciated! Thank you! Question: For 3 and 4, find the sample size needed to give the desired margin of error in estimating a population...
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• ### Solvent Boiling Points Chart | Boiling Point of Solvents Table 21 rows· Boiling point can be defined as the temperature at which the pressure exerted by the … Chat Online • ### Chemical elements listed by boiling point - Lenntech Chemical elements listed by boiling point The elemenents of the periodic table so...
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# List-monopolar partitions of claw-free graphs Shortly after solving the monopolar partition problem for line graphs, Jing and I realized that our solution could be used to solve the "precoloured" version of the problem, and then further extended to claw-free graphs. List monopolar partitions of claw-free graphs. Di...
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Previously I reviewed Amazon’s Machine Learning platform by testing it against the MNIST Database. Google also offers machine learning for their cloud platform. Their quickstart tutorial focuses on the MNIST dataset like my Amazon review, so it’s easy enough to run their code and directly compare the AWS and Google ma...
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1. Dec 22, 2011 aizeltine 1. The problem statement, all variables and given/known data Find all points on the curve 2x^3 + 2y^3 -9xy= 0 where you will have a horizontal and vertical tangent lines. 2. Relevant equations 2x^3 + 2y^3 -9xy= 0 3. The attempt at a solution 6x^2+6y^2dy/dx - (9y +9x dy/dx)=0 6x^2 + 6y^2dy...
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## Tuesday, December 21, 2010 ### Grenze I'm reaching the edge of my sanity Music by: Pink Floyd [ The Great Gig in the Sky] ## Monday, December 13, 2010 ### Gerüst "... soon comes rain frost or flames skeleton me Fall asleep spin the sky skeleton me Love, don't cry..." Music by: The YYY's [Skeletons] ## Thurs...
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Peer-Reviewed journal indexed by Mathematical Reviews and Zentralblatt MATH. # The L-dual of a Generalized m-Kropina Space Authors Gauree Shanker Abstract In 1987, R. Miron introduced the concept of L-duality between Cartan spaces and Finsler spaces ([5]). The geometry of higher order Finsler spaces were sudied in...
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# zoj 1067 Color Me Less 288人阅读 评论(0) Color Me Less Time Limit: 2 Seconds      Memory Limit: 65536 KB Problem A color reduction is a mapping from a set of discrete colors to a smaller one. The solution to this problem requires that you perform just such a mapping in a standard twenty-four bit RGB color space. The ...
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# One way speed of light and simultaneity by mananvpanchal Tags: light, simultaneity, speed P: 215 Hello, There are two observers. A is stationary and B is on train. Train is moving. B is at middle of train. If B flashes a beam to front and back, and at the both end there are detectors, then what does B measure one w...
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# How do I plot the differential of this function? Suppose I have this function: $$z(x,y) = \left| \frac{ \frac{1}{3x +iy} -2x}{iy + \frac{1}{x}} \right|$$ I want the contour plot of $\frac{\partial z}{\partial x}$ with axes $(x,y)$. Tried this code, but didn't work. z = Abs[ ( (1/3 x + I y) - 2 x )/ (I y + 1/x) ] ...
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## Cryptology ePrint Archive: Report 2011/330 Simple and Asymptotically Optimal $t$-Cheater Identifiable Secret Sharing Scheme Ashish Choudhury Abstract: In this paper, we consider the problem of k-out-of-n secret sharing scheme, capable of identifying t cheaters. We design a very simple k-out-of-n secret sharing sc...
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17 How to Use Synthetic Urine with Someone Watching In supervised or observed urine tests somebody is physically present to ensure that the sample submitted has not been tampered with or substituted. In such a situation tampering or adulterating the sample is actually harder than substituting the sample with syntheti...
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# "To establish and consolidate democracy, to achieve the peaceful rule of constitutional laws, we must first finish the war of liberty against tyranny. We must annihilate the enemies of the republic at home and abroad, or else we shall perish. In time of Revolution a democratic government may rely on terror. Terror is...
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# Recursion with matrix multiplication There is a mind-blowing application of matrix multiplication: doing recursion (almost) at the speed of light! By the end of this post, you'll learn precisely how. Trust me, if you are into programming and math, you want to know this trick. Let's start with the simplest example ...
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# Stabilizer (diff) ← Older revision | Latest revision (diff) | Newer revision → (diff) of an element $a$ in a set $M$ The subgroup $G_a$ of a group of transformations $G$, operating on a set $M$, (cf. Group action) consisting of the transformations that leave the element $a$ fixed: $G_a = \{ g \in G : ag = a \}$. T...
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# Bayesian ML estimator ### Assumption 1 (Existence of probability distribution) In Problem 3, there exists a prob- ability distribution $p(y|D)$ on the predictive space $Y$ . ### Definition 1 (Bayesian ML estimator) For Problem 3 with Assumption 1, the estimator $\newcommand{\argmax}{\mathop{\rm argmax}\limits} \h...
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# Using $\lim_{n\to 0}(1+n)^{x/n}=\lim_{n\to\infty}\left(1+\frac{x}{n}\right)^n$, show $\lim_{n\to\infty}\left(1+\frac{3}{4n}\right)^n=4e^{3/2}$ I am having a huge brain fart while helping a 12 year old student at Mathnasium on this: using the fact that $$\lim_{n\to 0}(1+n)^{x/n} = \lim_{n\to\infty}\left(1 + \frac{x...
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# How does spot size of a laser depend on wavelength? Does the spot size of a laser depend on wavelength? We have a laser source that is fed into a spectrometer to set the wavelength we want. No other optics are used after the spectrometer. I was going to do the "knife-edge" experiment at a bunch of wavelengths (400-1...
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# Recruitment Experiment¶ In developing omnidirectional learning algorithms, prior work has involved two main approaches: building and reallocating. Building involves adding new resources to support the arrival of new data, whereas reallocation involves compression of representations to make room for new ones. However...
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## College Algebra (6th Edition) A graph is decreasing if on a domain $a\lt b$, $f(a)\geq f(b)$. A graph is increasing if on a domain $a\lt b$, $f(a)\leq f(b)$. Thus in this case $a$ is a relative minimum by definition thus the answer is no.
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# skystatistics¶ The skystatistics module contains various statistical functions used by skymatch. skystatistics module provides statistics computation class used by match() and SkyImage. Authors Mihai Cara (contact: help@stsci.edu) class jwst.skymatch.skystatistics.SkyStats(skystat='mean', lower=None, upper=None,...
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# An example of a non-geometric $C^\infty(M)$-module Let $M$ be a smooth manifold and let $Q$ be an arbitrary $C^\infty(M)$-module. $Q$ is called geometric if $$\bigcap_{p\in M}\mu_pQ=0,$$ where $\mu_p$ is an ideal in $C^\infty(M)$ of functions vanishing at point $p.$ From the definition, $q\in\mu_pQ$ iff $q=\sum_{i=...
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# Ans. F8 The \begin{document} may have been inserted at the wrong place. Please insert the \begin{document} just before \title{} and try again.
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# Smallest eigenvalue gap of a non-symmetric random matrix The question: Let $A$ be the matrix whose each element is an independently generated random variable which is uniform on $[0,1]$. One can see that the eigenvalues of $A$ will be distinct almost surely. Let $\delta = \min_{i,j} |\lambda_i(A) - \lambda_j(A)|$ be...
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## Trott-Strzebonski (replace with evaluation) This is the pattern we saw earlier for replacing a part of an expression with an evaluated expression: Hold[holdReplace]/.{holdReplace:>With[{eval=Integrate[Sin[θ], {θ, 2, π}]}, eval/;True]} Hold[1+Cos[2]] It is a nice trick to keep in mind for those cases when you ...
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# Where's my Error? 1. Aug 16, 2005 ### bomba923 With no air resistance, I shoot a cannonball from a building of height $h$, with an initial velocity $v_0$ at an angle of elevation $\theta$. I'm trying to find the optimal angle for maximum range. I will use a parametric equation to represent the cannonball location ...
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