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https://www.subjectcoach.com/tutorials/math/topic/counting/chapter/the-four-colour-theorem
# The Four Colour Theorem We're going to do some colouring in. This investigation is about a very interesting mathematical result called the Four Colour Theorem. First, here's a map of Australia. I'd like you to colour it with the smallest number of colours you need so that • Two sections (states) that share a commo...
2021-12-07 11:41:55
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https://pascalkieslich.github.io/mousetrap/reference/mt_add_variables.html
Add new variables to the trajectory array (and remove potentially existing variables of the same name). This is mostly a helper function used by other functions in this package (e.g., mt_deviations). However, it can also be helpful if the user has calculated new variables for each logged coordinate and wants to add the...
2020-08-08 14:48:11
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https://archive.baty.net/2013/the-ocean-at-the-end-of-the-lane/
# Book: The Ocean at the End of the Lane As a fan of Neil Gaimann I was excited to read his new book, “The Ocean at the End of the Lane.” I’m glad I did. There was much to like and I enjoyed it while it lasted. The problem I had was that, once finished, I wasn’t sure what the book was for. It didn’t really add up for ...
2023-03-25 23:05:36
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https://plainmath.net/83108/is-the-potential-energy-in-a-compressed
# Is the potential energy in a compressed spring a Lorentz invariant? Libby Owens 2022-07-16 Answered The total energy of an object comes from the time part of the four-momentum, and so isn't a Lorentz invariant. On the other hand, is the potential energy of a compressed spring a Lorentz invariant? You can still ask a...
2022-11-30 17:06:15
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https://chemistry.meta.stackexchange.com/questions/164/do-we-want-small-caps?noredirect=1
# Do we want small caps? after writing this answer What chemicals are present in burnt toast? i have encountered that there is no small caps available in MathJax. Wouldn't it be a good idea to provide small caps for citing s.o.? Or is it possible to format parts in small caps through html maybe? Update it seems poss...
2020-10-25 18:56:57
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http://www.mathworks.com/help/lte/ref/ltescfdmademodulate.html?requestedDomain=www.mathworks.com&nocookie=true
# Documentation ### This is machine translation Translated by Mouseover text to see original. Click the button below to return to the English verison of the page. SC-FDMA demodulation ## Syntax ``grid = lteSCFDMADemodulate(ue,waveform)`` ``grid = lteSCFDMADemodulate(ue,waveform,cpfraction)`` ## Description examp...
2017-10-21 23:33:09
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https://raisingthebar.nl/2019/08/19/gaussian-elimination-method/
19 Aug 19 ## Gaussian elimination method Consider the system $a_{11}x+a_{12}y+a_{13}z=a_{1},\\ a_{21}x+a_{22}y+a_{23}z=a_{2},\\ a_{31}x+a_{32}y+a_{33}z=a_{3}.$ If the first equation is nontrivial, then one of the coefficients is different from zero. Suppose it is $a_{11}.$ Adding the first equation multiplied by $-...
2020-07-07 03:16:34
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http://gut.bmj.com/content/53/4/587
Article Text Fatigue and primary biliary cirrhosis: association of globus pallidus magnetisation transfer ratio measurements with fatigue severity and blood manganese levels 1. D M Forton1, 2. N Patel4, 3. M Prince3, 4. A Oatridge4, 5. G Hamilton4, 6. J Goldblatt3, 7. J M Allsop4, 8. J V Hajnal4, 9. H C Thomas2, 10. M...
2017-06-25 12:17:15
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https://www.math.ntnu.no/emner/ST2304/2022v/Week05/Exercise3_2022v.html
Due midnight 18th February 20221 ## Question 1: Dragonfire As part of our investigation of the re-introduction of dragons into Trondheim, we have been looking at fire precautions. We sent a student out to measure the lengths of 50 dragons, and (from a safe distance) recorded how far they could breath fire after being...
2022-10-04 09:35:35
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http://mercury.hau.ac.kr/aerodynamics/inside-royal-jngs/archive.php?tag=f321a0-square-meter-to-board-foot
Reference should always be made to the appropriate Building Code and/or Standard. 1 square foot is equal to 0.09290304 square meters. 9 cubic meter to board foot = 3813.98399 board foot. Convert 800 square feet to square meters. 10.76391041671 sq ft Conversion base : 1 m 2 = 10.76391041671 sq ft. Divide the central ang...
2021-03-04 15:45:10
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https://www.clutchprep.com/chemistry/practice-problems/96931/ozone-decomposes-to-oxygen-according-to-the-equation-2o3-g-3-o2-g-write-the-equa
# Problem: Ozone decomposes to oxygen according to the equation 2O3 (g) ⟶ 3 O2 (g). Write the equation that relates the rate expressions for this reaction in terms of the disappearance of O3 and the formation of oxygen. ###### Problem Details Ozone decomposes to oxygen according to the equation 2O3 (g) ⟶ 3 O2 (g). Wr...
2021-08-03 21:24:20
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https://stats.libretexts.org/Sandboxes/moja_at_taftcollege.edu/PSYC_2200%3A_Elementary_Statistics_for_Behavioral_and_Social_Science_(Oja)_WITHOUT_UNITS/01%3A_Introduction_to_Behavioral_Statistics/1.02%3A_What_is_a_statistic_What_is_a_statistical_analysis
# 1.2: What is a statistic? What is a statistical analysis? The Crash Course video series are great, and there’s one for statistics!  Check out this Crach Course Statistics Preview video: You should follow the whole Crash Course Statistics playlist as you go through this textbook's chapters; the chapters won't compl...
2022-10-07 18:37:09
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http://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2011-008.html
# First observation of the decay $\bar{B}^0_s \to D^0 K^{*0}$ and a measurement of the ratio of branching fractions $\frac{{\cal B}(\bar{B}^0_s \to D^0 K^{*0})}{{\cal B}(\bar{B}^0 \to D^0 \rho^0)}$ [to restricted-access page] ## Abstract The first observation of the decay $\bar{B}^0_s \to D^0 K^{*0}$ using $pp$ data...
2019-10-21 06:00:46
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https://calendar.math.illinois.edu/?year=2016&month=02&day=12&interval=day
Department of # Mathematics Seminar Calendar for events the day of Friday, February 12, 2016. . events for the events containing Questions regarding events or the calendar should be directed to Tori Corkery. January 2016 February 2016 March 2016 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa ...
2017-11-24 01:59:07
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https://kb.osu.edu/dspace/handle/1811/16934
# Knowledge Bank ## University Libraries and the Office of the Chief Information Officer The Knowledge Bank is scheduled for regular maintenance on Sunday, April 20th, 8:00 am to 12:00 pm EDT. During this time users will not be able to register, login, or submit content. # AN ELECTRIC QUADRUPOLE TRANSITION: THE $b {...
2014-04-17 22:34:25
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https://www.physicsforums.com/threads/densely-defined-operators-of-fock-space.255010/
Densely defined operators of Fock space 1. Sep 9, 2008 julian Could someone prove the following (if it is precisely correct): Since Fock space is the closure of the finite linear span of finite excitations of the vacuum state $\Omega$, then the operator $\hat{O}$ is densely defined if and only if $\hat{O} \Omega$ h...
2017-08-18 16:50:34
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http://www.eg.bucknell.edu/~phys211/fa2017/cal/lec24.html
## Lecture 24: Gravitational Forces and Energy November 30, 2017 • Study: Eq 8.1; Ex 8.1; Fig 8.5; Eq 8.6; Ex 8.5 ### Objectives • (Continuing objective) Relate the concepts of rotational motion and gravity to “everyday” situations and discuss various applications of the concepts to practical problems in various fi...
2017-12-12 20:07:50
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http://math.stackexchange.com/questions/272289/totally-separated-and-stone-spaces
Totally separated and Stone spaces I following the course Topology, and i want to ask some questions about the topics in the heading. We have the following definitions: • A topological space $X$ is totally separated iff for all $x\neq y$ there exists a clopen set $C\subset X$ such that $x\in C$ and $y\notin C$ • X is...
2016-05-02 06:43:44
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https://bookdown.org/dli/rguide/chi-square-test.html
# Chapter 27 Chi-Square Test ## 27.1 Goodness of Fit In the late 1990s, Mars began publishing M&M color breakdown on its website. Somehow, in 2008, Mars stopped publishing the color breakdown. This is the color breakdown of M&Ms in 2008. • 24% blue • 20% orange • 16% green • 14% yellow • 13% red • 13% brown A compu...
2023-01-31 07:13:20
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http://aicdg.com/20180910/
真的是很久没有写过杂记了啊。最近工作中突然想到两个小问题,记录一下。 # 法线问题 ## 1. 像素(片元)着色器计算光照的空间 片段着色器里的计算都是在世界空间坐标中进行的。 是不是应该把法向量也转换为世界空间坐标?基本正确,但是这不是简单地把它乘以一个模型矩阵就能搞定的。 1. 首先,法向量只是一个方向向量,不能表达空间中的特定位置。同时,法向量没有齐次坐标(顶点位置中的w分量)。这意味着,位移不应该影响到法向量。因此,如果我们打算把法向量乘以一个模型矩阵,我们就要从矩阵中移除位移部分,只选用模型矩阵左上角3×3的矩阵(注意,我们也可以把法向量的w分量设置为0,再乘以4×4矩阵;这同样可以移除位移)。对于法向量,我们只...
2021-09-18 11:21:34
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https://dotesports.com/league-of-legends/news/dade-joining-world-elite-5630
As reported by lol178, a League of Legends oriented website in China, Samsung Blue superstar dade will be joining World Elite. He will be joined by fellow SSB teammate Spirit. As reported by lol178, a League of Legends oriented website in China, Samsung Blue superstar dade will be joining World Elite. He will be joine...
2021-09-23 20:20:02
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https://segiqawyje.prideofaberdeenawards.com/factorizations-in-local-subgroups-of-finite-groups-book-21474pq.php
Last edited by Tekree Wednesday, May 20, 2020 | History 5 edition of Factorizations in local subgroups of finite groups found in the catalog. # Factorizations in local subgroups of finite groups ## by G. Glauberman Published by Published for the Conference Board of the Mathematical Sciences by the American Mathemat...
2020-11-28 08:22:08
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https://tug.org/pipermail/tugindia/2005-March/003319.html
# [Tugindia] RE: MiKTeX process Vinoth Kumar S. vinoth at sps.co.in Sat Mar 26 05:20:26 CET 2005 Dear All, In the MiKTeX process, I am having some problems. 1. Unable to get page size 210mm*277mm by using DVIPS. 2. After converting ps to pdf, in the PDF error report there was some error occured. Error is -- " Effec...
2022-07-07 04:53:45
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https://stats.stackexchange.com/questions/453094/how-to-derive-the-gradient-of-the-reparameterized-score-function-estimator
# How to derive the gradient of the reparameterized score function estimator? In the paper Evolution Strategies as a Scalable Alternative to Reinforcement Learning, the authors derive the following gradient of the score function estimator \begin{align} \nabla_\psi\mathbb E_{\theta\sim p_\psi}[F(\theta)]&=\mathbb E_{\...
2020-10-25 08:38:30
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http://www.numdam.org/book-part/AST_2003__286__25_0/
Random perturbations of nonuniformly expanding maps Geometric methods in dynamics (I) : Volume in honor of Jacob Palis, Astérisque, no. 286 (2003), pp. 25-62. @incollection{AST_2003__286__25_0, author = {Ferreira Alves, Jos\'e and Ara\'ujo, V{\'\i}tor}, title = {Random perturbations of nonuniformly expanding maps}, boo...
2022-12-01 06:12:27
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http://math.stackexchange.com/questions/315903/staircase-functions-with-compact-support-are-dense-in-l1-mathbbrn/315937
# staircase functions with compact support are dense in $L^1(\mathbb{R}^n)$ I would like to know how to prove that staircase functions with compact support are dense in $L^1.$ the hint I got was to use the fact that continuous functions with compact support are dense in $L^1.$ So far I couldn't approximate continuous ...
2015-12-01 02:15:46
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https://ch.gateoverflow.in/1127/gate-chemical-2020-question-49
An exothermic, aqueous phase, irreversible, first order reaction, $Y \rightarrow Z$ is carried out in an ideal continuous stirred tank reactor (CSTR) operated adiabatically at steady state. Rate of consumption of $Y$ (in $\text{ mol litre}^{-1} \text{ minute}^{-1}$) is given by $$-r_Y=10^9 e^{-\frac{6500}{T}}C_Y$$ wher...
2023-03-22 00:20:31
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https://curriculum.illustrativemathematics.org/k5/teachers/kindergarten/unit-4/lesson-9/lesson.html
# Lesson 9 Solve Story Problems ## Warm-up: How Many Do You See: Finger Addition (10 minutes) ### Narrative The purpose of this How Many Do You See is to allow students to use subitizing or grouping strategies to describe the images they see. ### Launch • Groups of 2 • “How many do you see? How do you see them?” ...
2022-07-03 05:47:50
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https://socratic.org/questions/how-do-you-find-the-degree-of-the-polynomial-2p-2q-3pq-q-2
# How do you find the degree of the polynomial 2p^2q - 3pq + q^2? ##### 1 Answer Aug 22, 2015 $2 {p}^{2} q - 3 p q + {q}^{2}$ is of degree $3$ #### Explanation: The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables of that term. $2 {p}^{2}...
2019-12-14 23:51:30
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https://pretextbook.org/doc/guide/html/section-198.html
Arbitrary text () used as the values of the string parameters latex.preamble.early and latex.preamble.late will be added to the very beginning, or very end (respectively), of the generated preamble.
2023-03-30 08:58:39
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http://www.physicsforums.com/showthread.php?t=415167
# Integration help for expectation of a function of a random variable by trance_dude Tags: expectation, function, integration, random, variable P: 3 1. The problem statement, all variables and given/known data Hello, have a stats question I am hoping you guys can help with. The expectation of a function g of a random...
2014-08-27 19:15:40
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http://mathhelpforum.com/number-theory/21880-help-calculating-convergents-continued-fraction-semi-urgent-print.html
# Help with Calculating Convergents of a continued fraction (Semi-Urgent) • November 3rd 2007, 06:36 AM BruceBronson Help with Calculating Convergents of a continued fraction (Semi-Urgent) Hi, Say i have the continued fraction Sqrt(23) = [2,1,3,1,8] (1,3,1,8 reoccuring) How do i calculate it's convergents? I can do i...
2016-05-26 13:58:23
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https://www.or-exchange.org/questions/12895/objective-with-square-of-the-max-of-a-linear-function
# Objective with square of the max of a linear function 0 I am trying to solve a problem of the form: min f(x)^2 + max(0, g(x))^2 s.t. linear constraints where both f and g are linear functions of x. This is a convex problem, but the dimension of x is quite large, and the nonlinear solvers I have tried (SNOPT, KNITR...
2019-10-15 14:58:06
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https://ferien-im-vortal.de/L3zCYkDA
Amazon.com: WMN_TRULYSTEP 8541958125 Home Distiller, 3 OLizee 3 Pots 5 Gal Stainless Steel Water Alcohol Distiller Copper Tube 18L Moonshine Still Spirits Boiler Home Wine Making Kit. 2.9 out of 5 stars 10. DIY 3 Gal 12 Liters Home Distiller Moonshine Alcohol Whiskey Water Still Stainless Boiler Thumper Keg. 3.8 out o...
2020-11-25 14:08:12
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https://davidstutz.de/sparse-coded-features-image-retrieval-ge-ke-sun/
# DAVIDSTUTZ 27thNOVEMBER2015 T. Ge, Q. Ke, J, Sun. Sparse-coded features for image retrieval. In British Machine Vision Conference, Bristol, United Kingdom, September 2013. Ge et al. propose a sparse-coding approach to image retrieval. Similar to other approaches (e.g. [1]), they compute a vocabulary of visual word...
2019-08-25 15:38:58
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https://www.sas1946.com/main/index.php?amp;action=printpage;topic=28319.0
# Special Aircraft Service ## the SAS Hangar => The Lounge => Topic started by: SAS~Bombsaway on September 03, 2012, 03:51:06 PM Title: And now for a little humor. Post by: SAS~Bombsaway on September 03, 2012, 03:51:06 PM (http://s19.postimage.org/9nvegvfab/9f24ae4f_5f92_426c_9e4b_8db068ed5533.jpg) (http://postimage....
2019-06-17 05:59:55
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http://en.wikipedia.org/wiki/Orthogonal_variable_spreading_factor
# Chip (CDMA) In digital communications, a chip is a pulse of a direct-sequence spread spectrum (DSSS) code, such as a pseudo-noise code sequence used in direct-sequence code division multiple access (CDMA) channel access techniques. In a binary direct-sequence system, each chip is typically a rectangular pulse of +1...
2014-03-10 09:42:08
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https://infinitylearn.com/surge/question/mathematics/if-two-dice-are-thrown-simultaneously-then-the-probability/
If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is # If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is 1. A 5/36 2. B 1/6 3. C 5/18 4. D 13/18...
2023-01-29 08:56:09
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https://math.stackexchange.com/questions/392940/need-help-with-fourier-transform-problem
# Need help with Fourier transform problem I'm trying to calculate the Fourier transform of the unit step function, $$\mathcal{F}[u(t)] \ = \int_{-\infty}^{\infty}u(t)e^{-i\omega t}dt \ = \int_{0}^{\infty}e^{-i\omega t} dt. \tag{1}$$ This simplifies to, $$U(\omega) = (i\omega)^{-1},\ (\omega \not = 0). \tag{2}$$ H...
2019-07-24 09:16:29
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http://mathhelpforum.com/math-challenge-problems/120977-just-fun.html
1. ## Just for Fun This problem is just for fun, meant as a challenge. Calculate $\displaystyle \lim_{n \to \infty} \frac{2^{2n-1}((n-1)!)^2 \sqrt{n}}{(2n-1)!}$. 2. The answer is $\displaystyle \sqrt \pi$! The solution is easy : Gamma duplication formula! 3. Good job! 4. Thank you for the problem! 5. How did you...
2018-03-20 16:30:15
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https://lmcs.episciences.org/7475
## Tomáš Masopust ; Markus Krötzsch - Partially Ordered Automata and Piecewise Testability lmcs:5900 - Logical Methods in Computer Science, May 11, 2021, Volume 17, Issue 2 - https://doi.org/10.23638/LMCS-17(2:14)2021 Partially Ordered Automata and Piecewise Testability Authors: Tomáš Masopust ; Markus Krötzsch Part...
2022-06-25 17:06:49
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https://www.campusgate.in/2019/11/permutations-combinations-1-3.html
# Permutations Combinations 1-3 218 girls are to be made to stand in a row for a photograph. Among them three particular girls do not want to be together. In how many ways they can be arranged? A$8! - 3!$ B$8! - 6!$ C$8! - 7! \times 3!$ D$8! - 6! \times 3!$ 224 girls and 4 boys are to be made to stand in a row for a ...
2020-07-05 16:22:27
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https://solvedlib.com/state-true-or-false-and-briefly-explain-your,133986
# State true or false and briefly explain your answer 5. Firms that do not pay any... ###### Question: 5. Firms that do not pay any dividends cannot be valued using dividend discount model but can be valued using residual income model. 6. A company's cost of debt is the contracted rate that it pays on its outstanding...
2022-08-18 01:31:44
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https://tehpsalmist.com/blog/keeping-the-wind-in-your-wings
Published on # Keeping the Wind in Your Wings Authors This article was originally posted on Medium. It is quite probable that some of the commands listed below are outdated at this point. I tried to include links to all the relevant technologies, so you can self-correct as you go. ## How to Add Tailwind CSS to Angu...
2022-12-05 14:59:59
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http://mathhelpforum.com/calculus/136309-finding-volume.html
# Math Help - finding the volume 1. ## finding the volume im supposed to find the volume of the solid that results when the region enclosed by y = x^(1/2), y = 0 and x = 9. the region is revolved about the y = 3 line? well my intergral that i got for this problem is. V = pi*(the intergral of) (9 - y^(2))^(2) can so...
2014-08-30 11:59:04
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https://physics.stackexchange.com/questions/542943/does-a-photon-have-a-wave-function-or-not
# Does a photon have a wave function or not? Why doesn't there exist a wave function for a photon whereas it exists for an electron? where annav says: Here is the [wavefunction of the photon,][1] which is a solution of a quantized maxwell's equation: Now write the complex wave function as the sum of real imaginary ...
2020-10-31 16:57:33
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http://mathoverflow.net/questions/127116/an-unfair-game-involving-an-odd-number-of-pieces-of-chocolate?sort=oldest
# An unfair game involving an odd number of pieces of chocolate Two greedy chocolate eaters play the following game involving $n$ pieces of chocolate and an additional parameter $\alpha$ with initial value $1$: Each player eats either $\alpha$ pieces of chocolate or he increments $\alpha$ by $2$ (replacing thus $\alph...
2016-05-04 08:31:44
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https://socratic.org/questions/5563bfa9581e2a324a4734cf
# Question 734cf ##### 1 Answer May 26, 2015 Ammonium sulfate, ${\left(N {H}_{4}\right)}_{2} S {O}_{4}$, is not purely covalent because the compound is held together by an ionic bond formed between a cation and an anion. More specifically, ammonium sulfate is composed of two ammonium cations, $N {H}_{4}^{+}$, and on...
2020-02-16 20:35:36
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https://proofwiki.org/wiki/Series_Expansion_of_Bessel_Function_of_the_First_Kind
# Series Expansion of Bessel Function of the First Kind ## Theorem Let $n \in \Z_{\ge 0}$ be a (strictly) non-negative integer. Let $\map {J_n} x$ denote the Bessel function of the first kind of order $n$. Then: $\displaystyle \map {J_n} x$ $=$ $\displaystyle \dfrac {x^n} {2^n \, \map \Gamma {n + 1} } \paren {1 -...
2019-12-09 20:33:03
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https://jordanbell.info/euler/euler-algebra-I-III-06.html
### Part I. Section III. Chapter 6. “Of Geometrical Ratio.” 440 The Geometrical ratio of two numbers is found by resolving the question, How many times is one of those numbers greater than the other? This is done by dividing one by the other; and the quotient will express the ratio required. 441 We have here three th...
2023-04-01 10:16:35
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https://proofwiki.org/wiki/Continuous_Replicative_Function
# Continuous Replicative Function ## Theorem Let $f: \R \to \R$ be a real function. Let $f$ be continuous on $\R$. Let $f$ also be a replicative function. Then $f$ is of the form: $\map f x = \paren {x - \dfrac 1 2} a$ where $a \in \R$. ## Proof Let $f$ be a replicative function. Then: $\forall n > 0: \map f...
2021-07-25 22:38:30
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http://cran.nexr.com/web/packages/roxygen2/vignettes/roxygen2.html
# Introduction to roxygen2 #### 2017-02-06 Documentation is one of the most important aspects of good code. Without it, users won’t know how to use your package, and are unlikely to do so. Documentation is also useful for you in the future (so you remember what the heck you were thinking!), and for other developers w...
2022-11-30 03:09:07
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https://chemistry.stackexchange.com/questions/111630/what-reaction-takes-place-here?noredirect=1
# What reaction takes place here? [duplicate] Upon reading the given question, I realized that: The first reaction is an aldol condensation reaction between the given compound and formaldehyde. So the product after 1st step is: Now, the second part has thrown me off. The current ketone has no $$\alpha$$ hydrogen le...
2020-04-09 21:55:52
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http://math.stackexchange.com/questions/275632/linear-algebra-and-matrix-theory/275637
# Linear algebra and matrix theory list the different 3x2 row reduced echelon form matrices if the field is F={0,1,2} mod 3. Hint: Once you decide where to put the leading $1$'s, any other entries that don't have to be $0$ could be $0$, $1$ or $2$. i thought for reduced row echelon form only the pivot numbers could ...
2013-05-25 10:17:10
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https://converter.ninja/time/years-to-days/266-yr-to-d/
266 years in days Conversion 266 years is equivalent to 97154.424875746 days.[1] Conversion formula How to convert 266 years to days? We know (by definition) that: $1\mathrm{yr}\approx 365.2422\mathrm{d}$ We can set up a proportion to solve for the number of days. $1 ⁢ yr 266 ⁢ yr ≈ 365.2422 ⁢ d x ⁢ d$ Now, we c...
2019-08-20 00:30:55
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https://math.stackexchange.com/questions/2558300/counting-homomorphisms-between-bbb-z-and-bbb-z-n-and-also-between-bbb-z
# Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$ Recently, I have tried to find out how many group homomorphisms exist from $\Bbb Z$ to $\Bbb Z_n$ . My argument goes like this: (in the following, $\tau$ and $\phi$ denote the well-known number theoretic functions) Let,...
2019-08-20 21:08:52
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https://projects.coin-or.org/Coopr/changeset/3059
# Changeset 3059 Ignore: Timestamp: Sep 30, 2010 6:25:25 PM (11 years ago) Message: Added most of the new command line options and made a few minor edits. Changed the version given as the title to 1.11 (from 1.1). Location: coopr.pysp/trunk/doc/pysp Files: 3 edited ### Legend: Unmodified r2809 Show help message a...
2021-04-13 05:44:10
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https://math.stackexchange.com/questions/2485267/is-countable-choice-sufficient-for-the-set-of-countable-subsets-of-mathbbr
# Is countable choice sufficient for the set of countable subsets of $\mathbb{R}$ to be equipotent with $\mathbb{R}$? I want to know if countable choice is sufficient to see that $(0,1)\cong[(0,1)]^\omega$. If not, is dependent choice sufficient? Haven't been able to construct an injection, and I don't know which of...
2019-05-23 14:46:40
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https://www.jack-yin.com/status/5761.html
## 每日一句-2022-10-31 Halloween gives you permission to be silly, to be terrifying, to be weird, and in fact it rewards you for it. 微信赞赏  支付宝赞赏 【上一篇】 【下一篇】
2022-12-03 02:10:12
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https://www.kth.se/math/kalender/alan-sola-one-dimensional-scaling-limits-in-a-laplacian-random-growth-model-1.928862?date=2019-10-16&orgdate=2019-08-24&length=1&orglength=130
# Alan Sola: One dimensional scaling limits in a Laplacian random growth model Time: Wed 2019-10-16 13.15 - 14.15 Lecturer: Alan Sola, Stockholms universitet Location: ### Abstract In joint work with A. Turner and F. Viklund, we consider growth models defined using conformal maps in which local growth is determine...
2020-01-28 04:49:08
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http://clay6.com/qa/2748/two-dice-are-tossed-find-whether-the-following-two-events-a-and-b-are-indep
Comment Share Q) # Two dice are tossed.Find whether the following two events A and B are independent.$A=(x,y):x+y=11\quad B=(x,y):x=5$where (x,y) denotes a typical sample point. Comment A) Toolbox: • If two dice are tossed number of ways u can get a total of 11 • $A;(X,4);X+y=11$ • ={$(5\;6)(6\;5)$} • Sample space of...
2019-09-21 00:44:01
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https://en.academic.ru/dic.nsf/enwiki/15400
Product of rings  Product of rings In mathematics, it is possible to combine several rings into one large product ring. This is done as follows: if I is some index set and Ri is a ring for every i in I, then the cartesian product Πi in I Ri can be turned into a ring by defining the operations coordinatewise, i.e. (...
2020-10-31 05:30:10
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https://www.elastic.co/blog/mac-system-extensions-for-threat-detection-part-2
Tech Topics # Mac system extensions for threat detection: Part 2 In the previous post, we covered some of the frameworks accessible by kernel extensions that provide information about file system, process, and network events. These frameworks included the Mandatory Access Control Framework, the KAuth framework, and t...
2021-10-20 15:25:49
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http://www.journaltocs.ac.uk/index.php?action=browse&subAction=subjects&publisherID=87&journalID=4446&pageb=1&userQueryID=&sort=&local_page=1&sorType=DESC&sorCol=1
Subjects -> STATISTICS (Total: 130 journals) Showing 1 - 151 of 151 Journals sorted alphabetically Advances in Complex Systems       (Followers: 10) Advances in Data Analysis and Classification       (Followers: 61) Annals of Applied Statistics       (Followers: 39) Applied Categorical Structures       (Followers: 4) ...
2021-01-25 00:58:20
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http://physicshelpforum.com/special-general-relativity/14277-simple-explanation.html
Physics Help Forum Simple explanation. Special and General Relativity Special and General Relativity Physics Help Forum Jan 13th 2018, 11:02 PM #1 Senior Member     Join Date: Feb 2017 Posts: 205 Simple explanation. It is really simple putting 2 + 2 to get 4. The Danish astronomer, Olaus Roeme in 1676, first succes...
2019-08-25 18:40:31
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https://math.stackexchange.com/questions/2599817/entropy-average-information-vs-uncertainty/2604236
# Entropy: average information vs uncertainty Entropy seems to be one of those ideas that is easy to get wrong. I often see entropy roughly described as "average information" or the amount of "uncertainty" in a process. These seem like contradictory ideas to me. If $H(X) = \sum_x p(x) \log_2 \frac{1}{ p(x)}$ is the e...
2019-06-18 17:35:00
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https://codegolf.stackexchange.com/questions/53621/force-an-average-on-an-image?noredirect=1
# Force an Average on an Image Write a program that takes in a standard truecolor image and a single 24-bit RGB color (three numbers from 0 to 255). Modify the input image (or output a new image with the same dimensions) such that its average color is exactly the single color that was input. You may modify the pixels ...
2020-01-26 00:06:36
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https://tug.org/pipermail/tex-live/2012-August/032136.html
# [tex-live] hyperref/puenc.def broken after upgrade Zdenek Wagner zdenek.wagner at gmail.com Tue Aug 14 21:49:16 CEST 2012 2012/8/14 Heiko Oberdiek <heiko.oberdiek at googlemail.com>: > On Tue, Aug 14, 2012 at 06:01:12PM +0200, Pander wrote: > >> 2012-08-14 17:44, Robin Fairbairns wrote: >> > Pander <pander at user...
2022-08-15 04:17:18
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https://tex.stackexchange.com/questions/570571/tikz-calendar-loading-data-from-csv/570782
My goal is to have a year calendar with boxes instead of days that get filled according to the type of exercise I did that day. These exercise would be loaded from a .csv file in a format such as: 2020-01-01;2020-01-01;2020-01-03 2020-01-02; ... where each column is a particular type of activity and I just need to a...
2022-05-19 00:27:05
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https://math.stackexchange.com/questions/1656898/different-types-variations-in-euler-product
# Different types/variations in Euler product A well known form of Euler product is $\prod_p^\infty \big(1- \frac{1}{ p^{s} } \big) = \frac{1}{ \zeta (s) }$ for all primes $p$. Are there any other variations of above product, such as : $\prod_p^\infty \big(1- \frac{k}{ p^{s} } \big)$ for any integer $k > 1$ or $...
2022-01-18 01:13:08
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https://www.varsitytutors.com/hotmath/hotmath_help/topics/associative-properties-of-matrices.html
# Associative Properties of Matrices: The Associative Property of Addition for Matrices states : Let $A$ , $B$ and $C$ be $m×n$ matrices .  Then, $\left(A+B\right)+C=A+\left(B+C\right)$ . Example 1: $A=\left[\begin{array}{rrr}3& 2& 4\\ -1& 0& -5\end{array}\right],B=\left[\begin{array}{rrr}-2& 3& -1\\ 4& 2& 0\end{ar...
2018-01-20 06:55:09
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https://plainmath.net/55811/what-is-the-continuity-of-the-composite-function-f-g-x-given
# What is the continuity of the composite function f(g(x)) given What is the continuity of the composite function $f\left(g\left(x\right)\right)$ given $f\left(x\right)=\frac{1}{\sqrt{x}}$ and $g\left(x\right)=x-1$ You can still ask an expert for help • Questions are typically answered in as fast as 30 minutes Solve...
2022-08-12 11:44:20
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http://mathhelpforum.com/trigonometry/21908-exact-value-trig-function.html
# Math Help - exact value of trig function 1. ## exact value of trig function What is the exact value of sin²36° 2. $\sin36^\circ=\sin(2\cdot18^\circ)=2\sin18^\circ\co s18^\circ.$ $\sin36^\circ=\cos54^\circ\implies2\sin18^\circ\cos 18^\circ=\cos(3\cdot18^\circ),$ so $\cos(3\cdot18^\circ)=4\cos^318^\circ-3\cos18^\c...
2015-08-31 20:18:55
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https://planetmath.org/examplessupportingtheerdhosstrausconjecture
# examples supporting the Erdős-Straus conjecture As with any conjecture, a million examples are not enough to prove the Erdős-Straus conjecture, but a single counterexample is enough to disprove. But if these examples at least provide a slightly better understanding of the problem at hand, the effort is not entirely ...
2019-03-23 06:36:08
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https://socratic.org/questions/how-do-you-differentiate-sin-x-2-cos-x-2
# How do you differentiate sin(x^2)(cos(x^2))? Sep 7, 2015 $\frac{d}{\mathrm{dx}} \sin \left({x}^{2}\right) \cos \left({x}^{2}\right) = 2 x \cos \left(2 {x}^{2}\right)$ #### Explanation: This problem can also be solved by directly applying the differentiation rules: $\frac{d}{\mathrm{dx}} \sin \left({x}^{2}\right)...
2019-10-21 13:38:20
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https://datascience.stackexchange.com/questions/37976/using-keras-to-predict-a-function-following-a-normal-distribution/37977
# Using Keras to Predict a Function Following a Normal Distribution I am currently trying to predict a function that has a shape similar to that of a normal distribution. It is defined as: (4 γΩ )/((γ+2nγ)^2+(4Δ^2+2Ω^2)) I have tried to use relu, sigmoid, and tanh activation functions. I have also tried mae, mse a...
2020-07-09 05:08:55
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http://mathhelpforum.com/advanced-statistics/137747-characteristic-functions.html
1. Characteristic functions If I know that $\phi(t)$ is the characteristic function of a random variable $X$, how do I go about showing that variants on $\phi$ are characteristic functions of some random variables? I've got a bunch of these to do. Here's an example: show that $|\phi(t)|^2$ is the characteristic funct...
2016-08-31 04:39:08
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https://mathematica.stackexchange.com/questions/113129/using-valueq-to-test-whether-hash-key-exists-fails-when-key-is-given-as-variab
# Using ValueQ to test whether “hash” key exists fails when key is given as variable Please ignore ^^^ possible duplicate (raised by me). The solution doesn't cover my case. I'm trying to implement a simple hash table according to this top answer at "Is there HashTable structure in Wolfram Mathematica?" That is, (co...
2019-07-18 05:17:56
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https://math.stackexchange.com/questions/1218380/which-mathematical-theory-investigates-distortions
# Which mathematical theory investigates distortions? For transformations like rotations, translations or boosts Lie theory is the appropriate theory. Which theory talks in similar, systematic terms about distortions $$M \vec{v} = m \vec{v} \quad \forall \ \vec{v} \quad ?$$ In Lie theory we can learn a lot about cer...
2020-03-31 23:49:10
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https://brilliant.org/problems/rolling-two-dice/
Rolling two dice A standard six-faced die and a standard four-faced die are both rolled once. The cube's faces are numbered $$1-6$$, and the tetrahedron's faces are numbered $$1-4$$. What is the probability that the sum of the downward-facing faces is greater than $$6$$? Give your answer correct to one decimal place. ...
2017-09-24 01:37:17
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https://mne.tools/0.18/generated/mne.compute_covariance.html
# mne.compute_covariance¶ mne.compute_covariance(epochs, keep_sample_mean=True, tmin=None, tmax=None, projs=None, method='empirical', method_params=None, cv=3, scalings=None, n_jobs=1, return_estimators=False, on_mismatch='raise', rank=None, verbose=None)[source] Estimate noise covariance matrix from epochs. The noi...
2023-01-28 17:41:37
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http://lt-jds.jinr.ru/record/56141?ln=en
/ Experiment-HEP arXiv:1106.0902 Measurement of the Top-antitop Production Cross Section in pp Collisions at sqrt(s)=7 TeV using the Kinematic Properties of Events with Leptons and Jets Abstract: A measurement of the top-antitop production cross section in proton-proton collisions at a centre-of-mass energy of 7 TeV ...
2020-07-13 20:00:44
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https://mikesmathpage.wordpress.com/2015/11/09/a-question-from-tracy-johnston-zager-that-caught-my-eye/
# A question from Tracy Johnston Zager that caught my eye I saw an interesting question from Tracy Johnston Zager on twitter tonight. Unfortunately twitter isn’t cooperating with me right this second and I’m having trouble linking to all of the tweets (ARRGH!!!!), so I’ll have to summarize because I’m trying to get to...
2021-09-21 10:45:34
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https://www.physicsforums.com/threads/finding-the-maximum-height-of-a-projectile.990403/
# Finding the maximum height of a projectile Gold Member Homework Statement: Find the maximum height on the wall to which the firefighter can project water from his hose. The speed of the water from the hose is 65 ft/s. The height at which the hose is held is 3 feet. Relevant Equations: All the kinematic equations for...
2022-12-04 01:13:15
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http://maths4class10.com/trigonometry-formulas-for-class-10/
# Trigonometry formulas for class 10 Trigonometry is a branch of mathematics that deals with angles, lengths and heights of triangles. Trigonometry is applicable in the fields of engineering, astronomy and architectural design. Learning these formulas and applying them can help them attain a better score in mathematic...
2018-09-25 13:01:15
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https://blocmat.ub.edu/tag/david-ruiz/
Blog de la Biblioteca de Matemàtiques i Informàtica SIMBa: Stochastic Differential Equations Dilluns, 7 d’abril, se celebrarà una nova sessió del Seminari Informal de Matemàtiques de Barcelona (SIMBa). Speaker: David Ruiz Universitat: Universitat d’Oslo (Department of Mathematics) Data: dilluns, 7 d’abril de 2014 H...
2022-12-03 19:00:33
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https://www.physicsforums.com/threads/puzzle-permutation-question.122611/
# Puzzle / Permutation question? 1. Jun 1, 2006 ### thx1138 Puzzle question... I am developing an interactive combination lock that involves utilizing a total of 9 buttons to open a door. I am wondering how many combinations there are if the answer requires a certain three to be pushed on? I am not sure how to cal...
2017-06-26 22:49:42
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https://math.stackexchange.com/questions/1513121/probability-density-function-integration
# Probability Density Function (Integration) A probability density function is given by $$f(x)=\left\{\begin{matrix} ke^{-2x} &x\geq0 \\ 0&otherwise \end{matrix}\right.$$ Find $k$ My attempt, $k\int_{0}^{\infty }e^{-2x}dx=1$ But I don't know how to solve this integral because of the infinity. $$k \int_{0}^{\inft...
2019-07-23 19:52:16
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https://www.r-bloggers.com/2021/07/point-biserial-correlation-in-r-quick-guide/
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't. Point Biserial correlation in R, What do you understand by biserial correlation? In some situations in which one variable is dichotomous according to some qualitative factor and another variable is numeric according to some...
2022-01-18 03:53:16
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https://planetmath.org/poker
poker Poker is a multi-player game of skill and luck played with standard playing cards and colored chips. The game begins with the dealer dealing the cards and the players placing their initial bets. The players may make statements about what cards they have, and these statements may be true or false, or even partial...
2019-03-19 04:27:21
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http://www.last.fm/music/%D0%90%D0%BD%D0%B4%D1%80%D1%96%D0%B0%D0%BD%D0%B0/+similar
1. http://natalkakarpa.com http://www.myspace.com/nkarpa 2. We don't have a wiki here yet... 3. We don't have a wiki here yet... 4. We don't have a wiki here yet... 5. We don't have a wiki here yet... 6. We don't have a wiki here yet... 7. We don't have a wiki here yet... 8. ★Ольга Богарт (BogArt-идеал искусства). Нас...
2015-10-06 23:20:29
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https://www.physicsforums.com/threads/latex-how-can-i.192667/
# LaTeX, how can i? 1. Oct 20, 2007 ### rocomath how can i include paragraphs into my latex-coding w/o it looking ugly or me having to use dashed-lines to separate words $$for example, this looks ugly!!!$$ 2. Oct 20, 2007 ### robphy \mbox $$\mbox{for example, this looks better!!!}$$ or escape out of math mode(?...
2017-05-23 19:11:22
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https://www.thejournal.club/c/paper/205243/
#### Lower a posteriori error estimates on anisotropic meshes ##### Natalia Kopteva Lower a posteriori error bounds obtained using the standard bubble function approach are reviewed in the context of anisotropic meshes. A numerical example is given that clearly demonstrates that the short-edge jump residual terms in ...
2022-12-09 05:21:16
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https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/2100/2/bo/g/
# Properties Label 2100.2.bo.g Level 2100 Weight 2 Character orbit 2100.bo Analytic conductor 16.769 Analytic rank 0 Dimension 20 CM no Inner twists 4 # Related objects ## Newspace parameters Level: $$N$$ $$=$$ $$2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$...
2020-09-27 07:58:03
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https://eventuallyalmosteverywhere.wordpress.com/tag/centred-gaussian/
# Skorohod embedding Background Suppose we are given a standard Brownian motion $(B_t)$, and a stopping time T. Then, so long as T satisfies one of the regularity conditions under which the Optional Stopping Theorem applies, we know that $\mathbb{E}[B_T]=0$. (See here for a less formal introduction to OST.) Furthermo...
2017-04-25 20:22:30
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https://crypto.stackexchange.com/questions/66479/efficient-aggregate-signatures-with-same-key
# Efficient Aggregate Signatures With Same Key Suppose Alice has a set of messages $$\mathcal M$$ and generates signature pairs for each message $$(m_1,s_1)$$, $$(m_2,s_2)$$, ... $$(m_n,s_n)$$ using the same key. She then transfers these signature pairs to Bob, who knows Alice's public key. Can Bob, without interacti...
2019-12-11 14:45:28
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https://homework.cpm.org/category/CC/textbook/cc1/chapter/2/lesson/2.2.1/problem/2-28
### Home > CC1 > Chapter 2 > Lesson 2.2.1 > Problem2-28 2-28. Add or subtract. Homework Help ✎ 1. $9.67 + 49.7 + 5.22$ Add the numbers in the hundredths place. Add the numbers in the tenths place. Since the sum is 2 digits, place the first digit (1) in the column to the left. Add the numbers in the ones place. Si...
2019-08-24 02:58:48
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https://ad1024.space/articles/19
# Programs as Proofs II Agda Programming Languages # Refresh Last note was quite chill introduction to how we change the way looking at programs and making connections between programs and proofs and how to define inductive structure (using inductive datatype). This time, I’ll show more insightful things about how w...
2023-02-06 21:31:57
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https://tex.stackexchange.com/questions/203142/cant-write-or
# Can't Write “<” or “>” [duplicate] I can't seem to write this symbol "< >" in Latex. ## marked as duplicate by Werner, user13907, user31729, Mico, Andrew SwannSep 25 '14 at 18:39 • Welcome to TeX.SX! You could try adding \usepackage[T1]{fontenc} to the preamble of your document. Also, you don't have to write "Hell...
2019-05-23 02:57:54
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https://tex.stackexchange.com/questions/192666/appendix-list-of-symbols/271049?s=58%7C0.0000
# Appendix list of symbols I am trying to make a list of variable definitions in the appendix and I tried making glossaries and using acronyms packages but I don't know what to do. I do not need to reference the symbols in the text, just make a list with a variable and its definition as so: # List of Variables: m Th...
2020-01-17 21:00:00
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