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# 共递归 2018-08-28 09:58:32     所属分类:递归论 ## 参见 • 双拟英语Bisimulation • 共诱导英语Coinduction • 递归 • 合成变质英语Anamorphism ## 注释 1. ^ Not validating input data. 2. ^ More elegantly, one can start by placing the root node itself in the structure and then iterating. 3. ^ Post-order is to make "leaf node is base case" explicit for ...
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Language:   Search:   Contact Zentralblatt MATH has released its new interface! For an improved author identification, see the new author database of ZBMATH. Query: Fill in the form and click »Search«... Format: Display: entries per page entries Zbl 0747.53021 Mukhopadhyay, S.; Roy, A.K.; Barua, B. Some properties of ...
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# Opportunity Class Mathematical Reasoning Sample Test Questions The Opportunity Class Placement Test was created so that students may exhibit, among other things, their reading comprehension, mathematical reasoning, and critical thinking. The objective of the exams is not to measure academic performance, but rather t...
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# Telescoping Surfaces 31 Aug 2022 This is the eighth and final post in a series on Katie Mann and Kasra Rafi’s paper Large-scale geometry of big mapping class groups. The purpose of this post is to tie up a loose end. In the third post, we observed that if $$\operatorname{Map}(\Sigma)$$ is to be coarsely bounded, th...
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## Bvckup - high speed "delta" sync Submit portable freeware that you find here. It helps if you include information like description, extraction instruction, Unicode support, whether it writes to the registry, and so on. Message Author Midas Posts: 5945 Joined: Mon Dec 07, 2009 7:09 am Location: Sol3 ### Bvckup - hi...
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# 4.1. 范畴叠 In short, stacks are just category fibered in groupoids where descent holds. What this means is that, for example, take fppf topology on schemes and choose any sheaf . Then we say is “geometric” if for some scheme . Those are of course example of stacks. Hence, in general, we want “representable stacks” (...
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Sheaf cohomology In mathematics, sheaf cohomology is the application of homological algebra to analyze the global sections of a sheaf on a topological space. Broadly speaking, sheaf cohomology describes the obstructions to solving a geometric problem globally when it can be solved locally. The central figure of this s...
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### 2166. Heap property underspecified? Priority: 3 View all other issues in [alg.heap.operations]. View all issues with C++17 status. Discussion: Another similar issue to the operator< vs greater in nth_element but not as direct occurs in 28.7.7 [alg.heap.operations]: -1- A heap is a particular organization of e...
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# Tag Info 0 Well this is not my area of expertise but I have come across this sort of work before in Time Series Analysis/ Financial Econometrics. I don't know how much detail you want but from my understanding the author has written the two equation in State Space Form. I believe it is fairly common to write ARCH a...
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# Transformer decoder output - how is it linear? I'm not quite sure how's the decoder output is flattened into a single vector. As from my understanding, if we input the encoder with a length N sentence, it's output is N x units (e.g. N x 1000), and we input the decoder with a length M sentence, the output of the deco...
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# How do you solve 4x -14y = 6 and 2x + 7y = 3? Jun 7, 2018 $x = \frac{3}{2} , y = 0$ #### Explanation: Writing your system in the form $2 x - 7 y = 3$ $2 x + 7 y = 3$ $4 x = 6$ $x = \frac{3}{2}$ $7 y = 3 - 3$ $y = 0$
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# Finite covering is compact Hausdorff iff base space is I am in need of solution or tip for this question. I thank you. Let $p: \widetilde X \to X$ be a covering space with $p^{-1}(x)$ finite and nonempty for all $x \in X$. Show that $\widetilde X$ is compact Hausdorff iff $X$ is compact Hausdorff. - I changed your...
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Finding all the values of $\theta$ for which $\tan(\theta)=\sqrt3$; problem with understanding. My textbook has a section where it says a possible way that $\tan(\theta)$ can be thought of is: For acute angles $\theta$, $\tan(\theta)$ is the $y$-coordinate of the point on the terminal side of $\theta$ which lies on t...
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PyFraME: Python tools for Fragment-based Multiscale Embedding Archived copies: ## Description PyFraME is a Python package that provides tools for setting up and running fragment-based multiscale embedding calculations. The aim is to provide tools that can automatize the workflow of such calculations in a flexible ma...
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# Solve below log Equation, this equation came with different bases: log2(x+2)-3*log8(x+3)=2 Question Logarithms Solve below log Equation, this equation came with different bases: $$\displaystyle{P}{S}{K}{\log{{2}}}{\left({x}+{2}\right)}-{3}\cdot{\log{{8}}}{\left({x}+{3}\right)}={2}$$ZSK 2020-12-04 $$\displaystyle{\l...
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Discrete scale constructor. discrete_scale(aesthetics, scale_name, palette, name = waiver(), breaks = waiver(), labels = waiver(), limits = NULL, expand = waiver(), na.translate = TRUE, na.value = NA, drop = TRUE, guide = "legend", position = "left", super = ScaleDiscrete) ## Arguments aesthetics The names of the ae...
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# Here are summary stastistics for randomly selected weights of newborn girls: n=224,overline{x}=28.3 text{hg},s=7.1 text{hg}. Construct a confidence interval estimate of mean. Use a 98% confidence level. Are these results very different from the confidence interval 26.5 text{hg} < mu < 30.7 text{hg} with only 14 sampl...
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# Math Help - T-distribution 1. ## T-distribution 1. Show that $T = \frac{\bar{X} - \mu}{S / \sqrt{n}}$ has the $t$ distribution with $n-1$ degrees of freedom. The population of interest in normal, so that $X_{1}, \ldots, X_{n}$ constitutes a random sample from a normal distribution with both $\mu$ and $\sigma$ unkno...
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Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an...
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# What is the difference between the forward-backward and Viterbi algorithms? I want to know what the differences between the forward-backward algorithm and the Viterbi algorithm for inference in hidden Markov models (HMM) are. • Would descriptions of the algortihms (here and here) answer your question or are you loo...
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# 3D-HST+CANDELS: The Evolution of the Galaxy Size-Mass Distribution since z = 3 A. van der Wel, M. Franx, P. G. van Dokkum, R. E. Skelton, I. G. Momcheva, K. E. Whitaker, G. B. Brammer, E. F. Bell, H.-W. Rix, S. Wuyts, H. C. Ferguson, B. P. Holden, G. Barro, A. M. Koekemoer, Y.-Y. Chang, E. J. McGrath, B. Häussler, A...
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I have the follwing Scanner scanner = new Scanner(new File("hello.txt")); while(scanner.hasNextInt()){ int i = scanner.nextInt(); System.out.println(i); } Why do I get an error when I run it? It says file not found (The system cannot find the files specificed) in java.io.fileinputstream. But the file does exist. -...
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## ABC for Lyman forest studies … I enjoyed reading this recent arXival by Davies et al. in which the authors present an ABC  (approximate Bayesian computation) analysis of the cosmological reionization history.  In particular, the idea is to use ABC to overcome intractability of the joint likelihood function for Lyma...
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# Range scaling problem I have a few ranges which I want to scale but I'm missing the formula (and common sense). For example I have a scale range from 40 to 100, but I want my data to range from 0 - 100. What formula do I have to apply to my numbers? Another range I have to scale is from 8 to 35. Thanks in advance,...
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Timezone: » Oral Deep Generative Learning via Variational Gradient Flow Yuan Gao · Yuling Jiao · Yang Wang · Yao Wang · Can Yang · Shunkang Zhang Wed Jun 12 05:05 PM -- 05:10 PM (PDT) @ Hall B We propose a general framework to learn deep generative models via \textbf{V}ariational \textbf{Gr}adient Fl\textbf{ow} (VGro...
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How do you factor 2x^2-x-3? Aug 18, 2016 $\left(2 x - 3\right) \left(x + 1\right)$ Explanation: Combine the factors of 2 and 3 so by subtracting you get 1. The middle term is $\textcolor{red}{1} x$ Write the factors and find the cross-products: $\textcolor{w h i t e}{x . \times} \left(2\right) \text{ } \left(3\rig...
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# Had some real trouble with this logical sequence today [duplicate] Reasonably sure I didn't get the job, but this particular part of their test really baffled me. The numbers of angle brackets in each row and column should probably add up to ten, so the missing element is one of the last four options. I was thinkin...
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# Approximate Permutation Tests and Induced Order Statistics in the Regression Discontinuity Design Ivan A Canay and Vishal Kamat Review of Economic Studies, 2018, vol. 85, issue 3, 1577-1608 Abstract: In the regression discontinuity design (RDD), it is common practice to assess the credibility of the design by test...
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The electron pair (:) from the nucleophile (Nuc:) attacks the substrate (R-LG) forming a new covalent bond Nuc-R-LG. The following reaction is as shown below- CH3Cl + (−OH) ————-CH3OH( methanol) + Cl- One more example would be the reaction of Ethanol with the hydrogen iodide which forms iodoethane along with water. Wha...
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# Assessment Data ## Children are good, actually Cities are changing, how do we know if we are headed in the right direction? Looking at the change in children gives us a simple uncontroversial metric to assess that, most people can agree that children are good for cities. There are many useful metrics to understand...
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# Question e25c7 Jul 2, 2015 9.12 moles and 164.5 g. #### Explanation: Ammonium sulfide, ${\left(N {H}_{4}\right)}_{2} S$, is an ionic compound formed when two ammonium cations, $N {H}_{4}^{+}$, form an ionic bond with one sulfide anion, ${S}^{2 -}$. This means that every mole of ammonium sulfide will contain 2 mo...
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# Progress bar in a multi-page form in an app We have an app wherein we need to ask a number of data from the user. We have split this into multiple pages and we put a progress bar on top. However, because of the screen estate, we can only indicate the percentage of completion and not the actual steps involved. Howe...
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## infinitely many primes 1 mod p For students of class 11-12 (age 16+) nayel Posts: 268 Joined: Tue Dec 07, 2010 7:38 pm Location: Dhaka, Bangladesh or Cambridge, UK ### infinitely many primes 1 mod p Here is a sequence of steps through which you can find infinitely many primes congruent to $1\bmod p$ for any prime...
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# QFT Lorentz transformation question ## Main Question or Discussion Point Hi, Today in QFT class, we examined an infinitesimal Lorentz transformation. From this we showed that a LT is represented by an anti-symmetric matrix. But this means that the diagonal elements should all be zeros. My question is how this reduc...
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# Sum of all positive integers : $\sqrt{7p^n+9}$ Find the sum of all positive integers which can be expressed as $\sqrt{7p^n+9}$ for some positive integer $n$ and some prime number $p$. • Indeed, $45\ne49$. – Yves Daoust Jan 28 '17 at 14:46 • I think they have also added $\sqrt {7 (1)^n +9} =4$, but clearly $1$ is no...
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# Variance of load in maximally loaded bin, if $m$ balls are thrown into $n$ bins In the paper "Balls and bins a simple and tight analysis" by Raab and Steger, available here strong upper and lower bounds are proved about the number $$M$$ of balls in a maximally loaded bin when $$m$$ balls are independently and unifor...
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# Frictional Torque at the axle 1. Aug 21, 2009 ### Amar.alchemy Let us consider a wheel which rotates about an axle thorugh its center with an angular velociy $$\omega$$0. After sometime it comes to rest due to the frictional torque at its axle. Now, if we go by the defination of torque than it is defined as: $$\ta...
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# Specifying mean and kernel function in Gaussian Process As part of the Improved Machine Learning in Mathematica 11, Wolfram advertises the Method "GaussianProcess" which can be used with Predict[] to obtain smooth Gaussian random fields. The screenshot below from the official documentation shows how this is applied....
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Page:An introduction to Combinatory analysis (Percy MacMahon, 1920, IA Introductiontoco00macmrich).djvu/19 Elementary theory of Symmetric Functions 5 If we add all such functions which have the same weight we obtain, algebraically speaking, all the products ${\displaystyle w}$ together of the quantities ${\displayst...
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### Show Posts This section allows you to view all posts made by this member. Note that you can only see posts made in areas you currently have access to. ### Messages - Victor Ivrii Pages: 1 [2] 3 4 ... 166 16 ##### Term Test 2 / Problem 3 (noon) « on: November 19, 2019, 04:22:43 AM » (a) Find the general solution ...
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# Synopsis: Progress toward an antihydrogen beam Cold antihydrogen has been synthesized in a setup that could lead to an antihydrogen beam suitable for precision CPT tests. Since cold antihydrogen ($\overline{\text{H}}$) was created in 2002, the top priority has been to make enough atoms and corral them to measure th...
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## Double-Double, Please! When 64-Bit Floating Point Isn’t Enough #### Jul 22 2013, 5:20 PM PDT · 0 comments » As general-purpose simulation software, CircuitLab has users who run a wide spectrum of circuit simulations. Our simulator must attempt to handle any circuit users choose to analyze. We found that a large cl...
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# Lie group about the quantum harmonic oscillator [closed] We konw that in quantum harmonic oscillator $H=a^\dagger a$, $a^\dagger$, $a$, $1$ will span a Lie algebra, where $a, a^\dagger$ is annihilation and creation operator, $H$ is the Hamiltonian operator. The algebraic relation is following $$[H,a^\dagger\ ]= a^\...
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# TRAPPIST-1: Global results of the Spitzer Exploration Science Program Red Worlds @article{Ducrot2020TRAPPIST1GR, title={TRAPPIST-1: Global results of the Spitzer Exploration Science Program Red Worlds}, author={Elsa Ducrot and Micha{\"e}l Gillon and Laetitia Delrez and Eric Agol and Paul B. Rimmer and Martin Turbet ...
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# The function $f(x) = \frac{log(1 + ax)-log(1 – bx)}{x}$ is not defined at x= 0. The value which should be assigned Q: The function $f(x) = \frac{log(1 + ax)-log(1 – bx)}{x}$ is not defined at x= 0. The value which should be assigned to f at x = 0, so that it is continuous at x = 0 is (A) a – b (B) a + b (C) log a...
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# Show does not combine the plots i've the following problem: because it's not possible to plot complex numbers (or is it?) i created my own "function": complexPlot[cn_] := Plot[0, {x, -100, 100}, PlotRange -> {-500, 500}, AspectRatio -> 1, AxesLabel -> {Re, I }, Epilog -> {Background -> None, PointSize[0.03], P...
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# Why isn't it y^4? Algebra Level 5 $\displaystyle\sqrt{xy} +\sqrt{yz} +\sqrt{xz} +x^4+y^3+z^4$ What is the minimum value of the above expression if $xyz=2$? Give your answer to 1 decimal place. Clarification: Yes, it's $y^3$ and not $y^4$. ×
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# Law of Conservation of Mass ## What is Law of Conservation of Mass? The law of conservation of mass states that The mass in an isolated system can neither be created nor be destroyed but can be transformed from one form to another. According to the law of conservation of mass, the mass of the reactants must be eq...
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• ### A New Standard for Assessing the Performance of High Contrast Imaging Systems(1711.01215) Nov. 3, 2017 astro-ph.IM As planning for the next generation of high contrast imaging instruments (e.g. WFIRST, HabEx, and LUVOIR, TMT-PFI, EELT-EPICS) matures, and second-generation ground-based extreme adaptive optics fac...
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Format: Paperback Language: English Format: PDF / Kindle / ePub Size: 12.44 MB Pages: 252 Publisher: Springer; Softcover reprint of hardcover 1st ed. 2005 edition (December 13, 2010) ISBN: 1849969779 Modelling, Estimation and Control of Networked Complex Systems (Understanding Complex Systems) Models of the Vis...
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# Solving a differential equation ## Homework Statement Solve (xy+y2+x2) dx -( x2 )dy = 0 ## The Attempt at a Solution So I can see it isn't separable and linear, so I thought of solving it through substitution i did y=ux and dy= u dx + x du and I substituted them in my first equation giving me (xu+u2+x^2) dx - x2...
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## Sunday, April 14, 2019 ... // ### "Abandon rational thinking" is too deep a paradigm shift for science ...but philosopher Wallace has understood many hard issues in physics correctly... Philosopher David Wallace has previously written many things about the foundations of quantum mechanics that – I believe – no co...
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# Nowadays, payday advances in Ohio can hold yearly portion prices of 500 % or even more, and unaffordable payments trap families with debt. Nowadays, payday advances in Ohio can hold yearly portion prices of 500 % or even more, and unaffordable payments trap families with debt. The balance develops on reforms which ...
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## Wednesday, December 2, 2015 ### What is omega/T scaling? And why is it so elusive? Quantum many-body systems are characterised by many different energy scales (e.g. Fermi energy, Debye frequency, superconducting energy gap, Kondo temperature, ....). However, in many systems properties are "universal" in that they...
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# How come, for any n > 2, the nth triangular number + the nth square 1. Nov 5, 2013 ### goldust number cannot be prime? I have checked this for n from 3 to 53,509, the latter being the limit for unsigned int. I believe this is true, and I thereby claim that this is a true statement. However, I don't see any obvious...
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## anonymous one year ago What is the solution for this inequality? -4x < 28 1. anonymous Divide -4 from both sides 2. LynFran divide by -4 to both sides of the inequality and change the sign to > 3. anonymous $$\huge \frac{-4x}{-4} = \frac{28}{-4}$$ $$\huge x = \frac{28}{-4}$$ What does x equal? 4. LynFran |dw...
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# The value of x and y for the following system of equations x^{2 The value of x and y for the following system of equations $$\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={10}$$ $$\displaystyle{9}{x}^{{{2}}}+{y}^{{{2}}}={18}$$ • Questions are typically answered in as fast as 30 minutes ### Solve your problem for the price ...
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Australia prepares its people for retirement by requiring them to save a portion of their income in “superannuation funds”, which currently hold about $3 trillion dollars’ worth of citizen wealth. In 2025, the required proportion of income saved will increase to 12 percent. Considering the enormous wealth this system c...
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## Exploding Dots ### 5.2 Division Lesson materials located below the video overview. Let’s start slowly with a division problem whose answer might be able to see right away. What is $$3906 \div 3$$? The answer is $$1302$$. If you think of $$3906$$ as $$3000+900+6$$, then we can see that dividing by three then gi...
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# Is $\omega$ absolute in set theory without foundation? Let $\text{ZF}^-$ be the set theory without powerset, choice, and foundation. Consider the following notions: • Wellfounded sets $$WF(c) \Leftrightarrow (\forall x \subseteq TC(c)) \left[x \neq \emptyset \rightarrow (\exists y \in x) (\forall t \in x) [t \notin...
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Chapter 12, Problem 10RQ ### Chemistry 9th Edition Steven S. Zumdahl ISBN: 9781133611097 Chapter Section ### Chemistry 9th Edition Steven S. Zumdahl ISBN: 9781133611097 Textbook Problem # Give the Arrhenius equation. Take the natural log of both sides and place this equation in the form of a straight-line equatio...
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# [texhax] eps, pdf, graphix Per Bergström perbergstrom at hotmail.com Wed Nov 12 21:49:02 CET 2008 Hi, Thanks for reading my mail. I am sitting and writing a thesis in LaTeX. I got stuck when I try to use \includegraphics for my .eps figures. When I compile the document to pdf the figures are not shown. I have trye...
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Game Chromatic Number of a Cartesian Product Graph Content: In this study we consider a graph coloring game invented by Bodlaender and Brams independently. Let $G=(V,E)$ be a finite simple graph and $X$ be a set of colors. The game chromatic number of $G$ is defined via a two-person finite game. Two players, generally...
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Feeds: Posts ## Selling science to the masses. Scientists are these mythical creatures that live somewhere between the clouds and the stratosphere. Their working habits include using lab  gowns, pocket protectors and calculators. Many of them (some would say most) are unkempt and dress poorly, except the ones that do...
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2017 Том 69 № 9 # Volume 63, № 5, 2011 Article (English) ### Fredholm quasi-linear manifolds and degree of Fredholm quasi-linear mapping between them Ukr. Mat. Zh. - 2011. - 63, № 5. - pp. 579-595 In this article a new class of Banach manifolds and a new class of mappings between them are presented and also the th...
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Subjects PRICING COURSES Start Free Trial Niki Lee M. Biomedical Science Student attending Texas A&M and hoping to help others :) Tutor Satisfaction Guarantee Geometry TutorMe Question: Given a parralelogram starting in the top left corner with point A and going clockwise to B, C, and D, the side AD and BC are the sho...
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Saturday, August 16, 2008 Sweet SUSY from F-theory The annual conference begins on Sunday (click). In my opinion, the best hep-th paper this week was Marsano, Saulina, Schafer-Nameki: Gauge mediation in F-theory GUT models Even the PC people should be happy about the paper because most authors are female. ;-) (Well,...
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Longitudinal analysis pipeline with longdat_cont() Introduction This is an example of running longdat_cont(). Note that the time variable (proxy of treatment) here should be continuous. If the time variable is discrete, please apply longdat_disc() instead. # Load the packages library(LongDat) library(tidyverse) libr...
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# FORTRAN 90 help- matrix-mul-add- input from user defined file name by muzzy29 Tags: defined, file, fortran, input, matrixmuladd, user P: 875 program mat_add_multiply integer rowsA, colsA, rowsB, colsB, i, j real A(100,100) real B(100,100) real C(100,100) character operation, inputA*30, inputB*30 ! Ask user for the ...
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# What does “y depends weakly on x” mean? I have come across this phrase often, and a quick Google search indicates that it is common: $y$ depends weakly on $x$. I understand what a dependency is. If $y$ depends on $x$, that means it is possible to deduce $y$ from $x$, given all other factors: $$y = f(x)$$ But wha...
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MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4). The second claim is false for $n=3$. Choose $\varepsilon$ small and $\delta\ll\varepsilon$. Let $A$ be the set of all points $(x,y,z)\in\mathbb R^3$ satisfying the fo...
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# Equality of Information Gain and Mutual Information I am curious about definition of information gain and mutual information in the context of feature selection. It looks like two these measures define exactly the same thing, however I didn't find that someone stated it explicitly that "IG and I are the same". In ...
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# Format title: section number flush left and title centered? How can I format with the titlesec package that I get somethine like this (this is a twocolumn document): I do not know how to get the number to the left and the title in the center is this possible? Thanks a lot!!! - changed title to indicate that secti...
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# zbMATH — the first resource for mathematics Traces of the discrete Hilbert transform with quadratic phase. (English. Russian original) Zbl 1293.42006 Proc. Steklov Inst. Math. 280, 248-262 (2013); translation from Tr. Mat. Inst. Steklova 280, 255-269 (2013). In this paper the authors extend the study of the followin...
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# Find number of ways to choose 3 vertices Consider a $2n+1$ sided regular polygon.In how many ways can we choose $3$ vertices out of these $2n+1$ vertices so that the centre of the polygon always lies inside the triangle formed by joining these $3$ chosen vertices. • It is easy to draw a regular n-gon in GeoGebra wi...
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# Rug plot in TiKZ I wish to draw something like (a kind of rug plot) The plot shows performance of various machine learning methods. I wonder what is the best way to draw perpendicular hooks. Moreover, how can I automatize hook drawing. Any idea is greatly appreciated. Minimal working example is pasted below. \do...
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## Lower Bounds for On-line Graph Coloring Abstract: An algorithm for vertex-coloring graphs is said to be {\em on-line} if each vertex is irrevocably assigned a color before later vertices are considered. We show that for every such algorithm, there exists a $\log n$-colorable graph for which the algorithm uses at le...
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# sum over prime index done by a weird sieve? As you might have noticed i considered in 2 previous questions sums of the form $f(p_i x)$ where the sum is over the primes $p_i$ ( between some integer bounds : $a \leqslant p_i \leqslant b$ ) , $x$ some real positive number and $f$ is some entire function. One of the id...
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#### Yozgat Bozok University Mathematics Department General Seminars Coverings and actions of internal groupoids within the category of groups with operations H. Fulya Akız Yozgat Bozok Üniversitesi, Turkey Özet : Groupoids are mathematical structures that have proved to be useful in many areas of science. A groupoid ...
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Hannover Electroencephalographic studies in dogs and cats • Published 2010 Abstract Electroencephalographic recordings in dogs: prevention of muscle artifacts and evaluation of two activation techniques in healthy individuals. Res Vet Sci. Article in Press. Electroencephalographic recordings in dogs suffering from i...
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English # Item ITEM ACTIONSEXPORT Multiloop soft theorem for gravitons and dilatons inthe bosonic string Di Vecchia, P., Marotta, R., & Mojaza, M. (2019). Multiloop soft theorem for gravitons and dilatons inthe bosonic string. Journal of High Energy Physics, 2019(1): 38. doi:10.1007/JHEP01(2019)038. Item is ### Ba...
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# Find all functions $f(x)$ satisfying $f(x)+f^{\prime}(\pi-x)=1$ for all $x \in \mathbb{R}$. Find all functions $f(x)$ satisfying $f(x)+f^{\prime}(\pi-x)=1$ for all $x \in \mathbb{R}$. This is a question from Moscow. I have tried $f(x)=x^m$ and it clearly does not work. Clearly $f(x)=1$ works. But I have no idea how...
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### An analysis of geometric modeling in database systemsAn analysis of geometric modeling in database systems Access Restriction Subscribed Author Kemper, Alfons ♦ Wallrath, Mechtild Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Copyright Year ©1987...
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# Goldbach's conjecture Jump to: navigation, search Goldbach's conjecture is an unsolved problem in number theory. Simply put, it states that: Every even number greater than 2 can be expressed as a sum of two (possibly equal) prime numbers. The conjecture was first posed (as far as is known) by Christian Goldbach i...
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# experimental bounds on microcausality violation In "The Great Soviet Encyclopedia", 3rd Edition from 1970-1979, (evidently an old book), some V. I. Grigor’ev has a well-written little note on microcausality. Towards the end he states an experimental bound on the vialotation of microcausality. According to that ancie...
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### Author Topic: TT1-P1  (Read 1778 times) #### Victor Ivrii • Elder Member • Posts: 2467 • Karma: 0 ##### TT1-P1 « on: October 21, 2015, 08:47:17 PM » Consider the first order equation: (t^2+1)u_t +  u_x = u. \label{eq-1-1} (a) Find the characteristic curves and sketch them in the $(x,t)$ plane. (b)  Write the g...
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# Why can waves (audio, eletromagnetic, etc.) be represented by a circle? I found an intuitive reason for the sine function, but want one that can be used for all kinds of waves. I've found a good explanation summarized in the following figure: It is logical because a circle is symmetric and starts to change in heigh...
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# How do I slice an image of size “width × height” in n² pieces of size “width / n × height / n”? Background: What I want is to make a jigsaw from an image. (A simple one where the pieces are polygons.) I have the following strategy in mind. Create a set of polygons and assign images (or just the original image) to th...
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# AP Microeconomics : Utility, Marginal Utility, and Choice Quiz Quiz *Theme/Title: Utility, Marginal Utility, and Choice * Description/Instructions A hallmark assumption in microeconomics is that individual's act in a way that maximizes their utility. Individuals do this by comparing the marginal utility of the next ...
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# Chapter 13 - Section 13.2 - Limits and Continuity in Higher Dimensions - Exercises - Page 691: 46 The limit does not exist #### Work Step by Step Consider $f(x,y)=\dfrac{x^2-y}{x-y}$ Let us consider the approach: $(x,y) \to (0,0)$ along $y=mx; m\ne 1$ Then, we get $\lim\limits_{x \to 0}\dfrac{x^2-mx}{x-mx}=\dfrac{...
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2 # An object with a mass of 6 kg is pushed along a linear path with a kinetic friction coefficient of u_k(x)= 1+5cotx . How much work would it take to move the object over #x in [(5pi)/12, (7pi)/8], where x is in meters? preview × • Edit wording or topic Update the question or its topic Then teach the underlying con...
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# Characterization of $\kappa$-closed forcings For the notion of distributivity of forcings, we have equivalent defintions, one combintorial, the other in terms of what the generic extensions look like. For a partial order $\mathbb{P}$, the following are equivalent: 1) Forcing with $\mathbb{P}$ adds no new functions ...
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Sub sigma algebra generated by a measurable process with a random time. We have the following settings: Given the probability space $(\Omega,\mathscr F,P)$ $T$ is a random time, if it is a $\mathscr F$-measurable random variable with values in $[0,\infty]$ A stochastic process is called measurable if for every $A\i...
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# Analog Communications Questions and Answers – Problems of DSBSC « » This set of Analog Communications Multiple Choice Questions & Answers (MCQs) focuses on “Problems of DSBSC”. 1. A Marconi antenna has length equal to ________ a) ʎ4 b) ʎ2 c) 1 d) ʎ8 Explanation: Marconi antenna is like a vertical wire having leng...
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## Algebra 1 $n\geq4$ Each side of the diagram represents one side of the equation. The bar separating the two sides represents the inequality sign. The left side of the equation is $2n-5$. - A green tile represents a variable such as n. The left side of the diagram will include two green tiles since the coefficient o...
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# Error while transponsing a tensor [closed] I am trying to execute following: TensorTranspose[Outer[D, metric, x], {2, 3}]. And Mathematica says me TensorTranspose::symmperm: "Invalid permutation or symmetry generator {2,3}. While for permutation {1,2} there would not be an error. metric has dimentions {5,5}, x...
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Math Help - Complex numbers. 1. Complex numbers. The question is: Let $z=\frac{\pi}{6}+iln2$. Write $e^{iz}$ in the form a+bi. (careful! This is a trick question.) What I did: $e^{iz}=e^{\frac{i \pi}{6}-ln2}$ $e^{iz}=e^{\frac{i\pi}{6}}e^{-ln2}$ $e^{iz}=\frac {1}{2} e^{\frac{i\pi}{6}}$ $e^{iz}=(\frac{1}{2})(cos...
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#### Transport modeling in high density plasma discharge with new algorithm = 새로운 계산법에 의한 고밀도 플라즈마에서의 수송모델링 Cited 0 time in Cited 0 time in • Hit : 289 A new unconditionally stable algorithm for steady state fluid simulation of high density plasma discharge is suggested. The physical origin of restriction on simulatio...
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# How to make a discretized NMinimize more precise I am using Mathematica for physics research and I want to minimize a Hamiltonian equation with respect to two variables (I have also discretized the problem). I have a single constraint. When I plot the result from NMinimize for two variables, the end behavior for one...
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### Bigdata-facilitated Two-party Authenticated Key Exchange for IoT Bowen Liu, Qiang Tang, and Jianying Zhou ##### Abstract Authenticated Key Exchange (AKE) protocols, by definition, guarantee both session key secrecy and entity authentication. Informally, session key secrecy means that only the legitimate parties ...
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