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https://www.physicsforums.com/threads/significant-digits-error.718931/
# Significant digits, error 1. Oct 26, 2013 ### Gauss M.D. 1. The problem statement, all variables and given/known data How many significant digits does the number 3568 +/- 42 have? 2. Relevant equations 3. The attempt at a solution The true value is ranging between 3526 and 3610. Why is there two significant di...
2017-08-20T01:13:39
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https://stacks.math.columbia.edu/tag/04TV
77.9 Principal homogeneous spaces This section is the analogue of Groupoids, Section 39.11. We suggest reading that section first. Definition 77.9.1. Let $S$ be a scheme. Let $B$ be an algebraic space over $S$. Let $(G, m)$ be a group algebraic space over $B$. Let $X$ be an algebraic space over $B$, and let $a : G \t...
2022-10-03T17:12:42
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https://www.jobilize.com/physics2/section/summary-electric-field-lines-by-openstax?qcr=www.quizover.com
# 5.6 Electric field lines  (Page 3/5) Page 3 / 5 Always keep in mind that field lines serve only as a convenient way to visualize the electric field; they are not physical entities. Although the direction and relative intensity of the electric field can be deduced from a set of field lines, the lines can also be mi...
2019-05-25T13:53:57
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http://math.eretrandre.org/tetrationforum/showthread.php?tid=1088
• 1 Vote(s) - 5 Average • 1 • 2 • 3 • 4 • 5 A calculus proposition about sum and derivative tommy1729 Ultimate Fellow Posts: 1,676 Threads: 368 Joined: Feb 2009 08/19/2016, 12:19 PM Hi Let f(x) , g1(x) , g2(x) , ... be analytic on [-1,1]. If for almost Every x e [-1,1] we have : Property A : If f(x) = g(x) = g1(x) + g...
2022-08-19T04:28:41
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http://aliceinfo.cern.ch/ArtSubmission/node/3756
# Figure 8 Ratios of the data to TCM, Levy-Tsallis, mod. Hagedorn and power law fits for the neutral pion (left) and the $\eta$ meson (right).
2017-12-18T14:49:51
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https://questions.examside.com/past-years/jee/question/two-point-charges-q1left-sqrt-10-mu-c-right-an-jee-main-physics-units-and-measurements-3sb2ntaa6ppooeys
1 ### JEE Main 2019 (Online) 9th January Evening Slot Two point charges q1$\left( {\sqrt {10} \mu C} \right)$ and q2($-$ 25 $\mu$C) are placed on the x-axis at x = 1 m and x = 4 m respectively. The electric field (in V/m) at a point y = 3 m on y-axis is, [take ${1 \over {4\pi { \in _0}}}$ = 9 $\times$ 109 Nm2C$-$2] A...
2021-10-23T16:43:34
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https://learn.careers360.com/ncert/question-ia-childs-game-has-8-triangles-of-which-3-are-blue-and-rest-are-red-and-10-squares-of-which-6-are-blue-and-rest-are-red-one-piece-is-lost-at-random-find-the-probability-that-it-is-a-triangle/
# A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a(i) triangle (ii) square (iii) square of blue colour (iv) triangle of red colour Solution. Probability; Probability means possibility...
2021-09-26T01:17:54
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http://www.openproblemgarden.org/?q=random
# Random ## Circular coloring triangle-free subcubic planar graphs ★★ Author(s): Ghebleh; Zhu Problem   Does every triangle-free planar graph of maximum degree three have circular chromatic number at most ? Keywords: circular coloring; planar graph; triangle free ## Few subsequence sums in Z_n x Z_n ★★ Conjecture...
2019-03-19T22:45:37
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https://socratic.org/questions/light-is-travelling-in-quartz-which-has-an-index-of-refraction-of-1-458-how-fast
# Light is travelling in quartz, which has an index of refraction of 1.458. How fast does light travel in quartz? Apr 1, 2018 Approximately $2.06 \cdot {10}^{8}$ meters per second. #### Explanation: Well, the equation for the refractive index is: $n = \frac{c}{v}$ • $c$ is the speed of light in a vacuum • $v$ is...
2021-10-22T04:34:55
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https://math.stackexchange.com/questions/254600/explain-this-limit-of-integration-for-radius-in-polar-coordinates
# Explain this limit of integration for radius in polar coordinates. Use polar coordinates to find the volume of the given solid: Inside both the cylinder $x^2 + y^2 = 4$ and the ellipsoid $4x^2 + 4y^2 + z^2 = 64$ The limit of integration for the radius goes from 0 to 2 because the problem asks for the solid inside ...
2021-05-14T02:08:47
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https://zbmath.org/?q=an%3A0698.60035
# zbMATH — the first resource for mathematics Complete convergence of weighted sums of martingale differences. (English) Zbl 0698.60035 A sequence $$\{U_ n$$, $$n\geq 1\}$$ converges completely to the constant c if $\sum P(| U_ n-c| >\epsilon)<\infty \quad for\quad every\quad \epsilon >0.$ The now classical result of ...
2021-06-21T17:15:40
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http://math.stackexchange.com/questions/197530/c1-0-1-with-different-norm?answertab=votes
# $C^1 [0,1]$ with different norm If the space $C^1 [0,1]$ is equiped with norm $$\Vert f\Vert_1=\sup_{t\in [0,1]}|f'(t)|$$ Is it complete? - Is $\lVert f'\rVert_C=\sup_{t\in [0,1]}|f'(t)|$? –  Davide Giraudo Sep 16 '12 at 13:37 yes you are right. –  Joe Sep 16 '12 at 13:42 So we assume there is a left derivative at ...
2015-01-28T14:17:23
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http://comunidadwindows.org/standard-error/standard-error-confidence-level.php
Home > Standard Error > Standard Error Confidence Level # Standard Error Confidence Level ## Contents The critical value for a 95% confidence interval is 1.96, where (1-0.95)/2 = 0.025. The sample mean plus or minus 1.96 times its standard error gives the following two figures: This is called the 95% confidence inte...
2018-01-23T11:46:51
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https://mathematica.stackexchange.com/questions/linked/1096?sort=unanswered&page=2
122 questions linked to/from List of compilable functions 123 views ### Why doesn't Compile work on the Permutations function with second arguments? Here is a narrowed-down example, the first case works, but the second one refuses to use the compiled version: ... 291 views ### Compiling function solving for the smal...
2020-10-27T04:16:48
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https://en.wikisource.org/wiki/Translation:On_the_Discussion_Concerning_Rigid_Bodies_in_the_Theory_of_Relativity
# Translation:On the Discussion Concerning Rigid Bodies in the Theory of Relativity On the Discussion Concerning Rigid Bodies in the Theory of Relativity  (1911) by Max von Laue, translated from German by Wikisource In German: Zur Diskussion über den starren Körper in der Relativitätstheorie, Physikalische Zeitschrift...
2016-09-26T17:39:11
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http://m.blog.csdn.net/yuanqingfei/article/details/34632
## CSDN博客 ### Matlab 混合编程资源2 void DllName01(void) @DllName01$qv 因为是CPP程式码 void _stdcall DllName02(void) @DllName02$qqsv 所以函式名都被修 void _cdecl DllName03(void) @DllName03$qv 饰过。 void _pascal DllName04(void) @DLLNAME04$QV void _fastcall DllName05(void) @DllName05\$qqrv #define _DLLNAME01_H_ #ifndef DLLNAME #define E...
2017-09-25T11:26:29
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https://www.yaclass.in/p/mathematics-cbse/class-8/factorisation-2521/introduction-to-factorization-4801/re-31144861-e0f2-44af-b825-adef5099a34a
Theory: Factorisation by taking out the common factor from each term 1. Consider the expression $3{x}^{3}-15{x}^{2}+12x$. In all the term, $3x$ is taken commonly outside. $\left(3x×{x}^{2}\right)+\left(3x×-5x\right)+\left(3x×4\right)$ $=3x\left({x}^{2}-5x+4\right)$ 2.  Consider the expression $10\mathit{xy}+5{x}^{...
2021-03-03T02:15:57
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https://socratic.org/questions/how-do-you-factor-x-3-8x-2-19x-12
# How do you factor x^3-8x^2+19x-12? Apr 9, 2015 • We have the polynomial color(red)(p(x) = x^3-8x^2+19x-12 As the degree of the polynomial is greater than 2, we need to use Synthetic Division to factorize it. • In Synthetic Division, we first find a value of $x$ that makes this polynomial equal to zero. That is, we ...
2020-02-20T20:52:41
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https://www.tutorialspoint.com/articles/category/electrical-engineering
## What is Voltage Regulator 7805 – Internal Block Diagram and Applications Updated on 19-Dec-2022 13:58:27 In this article, we will discuss the definition, internal block diagram, circuit configuration, and applications of voltage regulator 7805 IC. Let’s begin with the basic introduction of voltage regulator. A volt...
2023-04-02T10:05:53
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https://socratic.org/questions/54eef54b581e2a4bec099989
# Question 99989 Feb 26, 2015 The specific gravity for your liquid will be $\text{1.33}$. Specific gravity (SG) is defined as the ratio between the density of a liquid at a certain temperature and the density of water at the same temperature. Keep in mind that SG must be dimensionless, since it's defined as the rat...
2019-11-20T20:00:18
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https://testbook.com/question-answer/the-divergence-of-the-vectoroverrightarro--608922c7eda4b9bb2e5ff4db
# The divergence of the vector $$\overrightarrow v = {y^2}\widehat i + {z^2}\widehat j + {x^2}\widehat k$$ This question was previously asked in GATE PI 2020 Official Paper View all GATE PI Papers > 1. 2x 2. 2y 3. 2z 4. 0 Option 4 : 0 ## Detailed Solution Concept: Divergence: The divergence of a vector field simp...
2021-09-22T16:42:53
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https://plainmath.net/5086/tories-bookcase-algebra-geometry-advanced-engineering-mathematics-random
Question # Tories bookcase holds one algebra book one geometry book and 12 books about advanced engineering mathematics. Books are taken at random from her book Upper Level Math Tories bookcase holds one algebra book one geometry book and 12 books about advanced engineering mathematics. Books are taken at random from...
2021-09-21T19:24:30
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https://in.mathworks.com/help/stats/meaneffectsize.html
# meanEffectSize One-sample or two-sample effect size computations ## Syntax ``Effect = meanEffectSize(X)`` ``Effect = meanEffectSize(X,Y)`` ``Effect = meanEffectSize(X,Y,Name=Value)`` ## Description example ````Effect = meanEffectSize(X)` computes the mean difference effect size for a single sample `X` against t...
2023-02-04T17:59:33
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https://wiki.seg.org/wiki/Dictionary:Anisotropy_(seismic)/zh
# 各向异性(地震) This page is a translated version of the page Dictionary:Anisotropy (seismic) and the translation is 47% complete. Other languages: English • ‎español • ‎中文 Series Geophysical Reference Series Robert E. Sheriff http://dx.doi.org/10.1190/1.9781560802969 978-1-56080-118-4 SEG Online Store • 一般弹性张量(stiffness...
2020-05-27T16:38:43
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https://bccovid-19group.ca/post/covid-variants-amongst-us/
# Are there COVID variants amongst us? Number of active cases of a VOC when first detected (y-axis) depends on how much we’re looking (x-axis is the fraction of cases assessed for the variant) ## Background The appearance of new COVID-19 Variants of Concern has jurisdictions around the world scrambling to determine ...
2022-07-01T10:20:52
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http://www.gutenberg.us/articles/eng/Integrating_factor
#jsDisabledContent { display:none; } My Account |  Register |  Help # Integrating factor Article Id: WHEBN0001912874 Reproduction Date: Title: Integrating factor Author: World Heritage Encyclopedia Language: English Subject: Collection: Ordinary Differential Equations Publisher: World Heritage Encyclopedia Publicat...
2020-08-08T01:26:21
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https://www.uib.no/en/persons/Erlend.Grong
# Erlend Grong Researcher • E-mailerlend.grong@uib.no Allégaten 41 Realfagbygget 5007 Bergen Postboks 7803 5020 Bergen • Show author(s) (2022). Most Probable Paths for Anisotropic Brownian Motions on Manifolds. Foundations of Computational Mathematics. • Show author(s) (2022). H-type foliations. Differential geometry ...
2023-01-27T08:19:59
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https://library.kiwix.org/datascience.stackexchange.com_en_all_2021-04/A/question/78321.html
## Kernel approximation of a function known only point-wise? 0 Assume that I have a set of $$N$$ points $$x_i, i=1,...,N,$$ in some space $$\mathbb{R}^D$$, and corresponding point-wise (scalar) function evaluations $$f(x_i)$$. It is my goal to approximate the unknown function $$f(x)$$ with RBF kernels: $$\tilde{f}(x...
2021-07-25T21:09:47
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https://math.stackexchange.com/questions/410155/distribution-of-the-fractional-part-of-a-sum-of-two-independent-random-variables
# Distribution of the fractional part of a sum of two independent random variables Let $X$ and $Y$ be independent random variables. $X$ is a uniform random variable on $[0,1]$. Let $Z=X+Y-\lfloor X+Y\rfloor$. What is the distribution of $Z$? Let $X_1, X_2, \dots, X_n$ be IID with the same distribution of as $X$, all ...
2022-01-20T04:44:49
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https://solvedlib.com/n/section-3-8-forced-mechanical-vibration-problem-3previous,18356435
Section 3.8 Forced Mechanical Vibration: Problem 3Previous ProblemProblem ListNext Problempoint) The solution t0 the Initial value problem2x + 2x2 cos(6t) Question: Section 3.8 Forced Mechanical Vibration: Problem 3 Previous Problem Problem List Next Problem point) The solution t0 the Initial value problem 2x + 2x 2 ...
2023-03-24T00:52:52
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https://homework.zookal.com/questions-and-answers/1-for-each-of-the-following-situations-involving-single-amounts-559006784
2. Accounting 3. 1 for each of the following situations involving single amounts... Question: 1 for each of the following situations involving single amounts... Question details 1. For each of the following situations involving single amounts, solve for the unknown. Assume that interest is compounded annually. (i = ...
2021-06-15T07:39:10
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http://xjbt.centrosamo.it/biased-die-simulator.html
Biased Die Simulator Multi Coloured Dice. We could use a mathematical. Your proposed computation makes no sense because $0. Last Edit: October 22, 2019 8:36 PM. Synonym Discussion of unbiased. tion but traditional interdie (die-to-die) variation, used for best case and worst case models and statistical simulation, con...
2020-06-03T05:11:42
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https://deepai.org/publication/sharp-interface-problem-of-the-ohta-kawasaki-model-for-symmetric-diblock-copolymers
# Sharp-interface problem of the Ohta-Kawasaki model for symmetric diblock copolymers The Ohta-Kawasaki model for diblock-copolymers is well known to the scientific community of diffuse-interface methods. To accurately capture the long-time evolution of the moving interfaces, we present a derivation of the correspondi...
2022-06-26T18:01:47
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http://mathoverflow.net/questions/25178/a-non-commutative-nullstellensatz/25183
# A Non-Commutative Nullstellensatz In studying presentations of pro-$p$-groups via generators and relations, one is led (via the so-called Magnus embedding) to questions involving power series in non-commuting variables. Results from local algebraic geometry occasionally shed some insight on how to make progress, but...
2014-03-14T06:55:51
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https://astronomy.stackexchange.com/questions/16147/whats-the-distinction-between-planetary-formation-mechanisms-and-gravitation
# What's the distinction between “planetary formation mechanisms” and “gravitational collapse”? As I was curious about the exact identical comment to my title here: https://astronomy.stackexchange.com/a/16135/10102 And as it seems no one asked it yet, I'm simply interested in the difference of the both, so: What's t...
2021-03-06T07:40:34
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https://chem.libretexts.org/Bookshelves/Introductory_Chemistry/Book%3A_The_Basics_of_GOB_Chemistry_(Ball_et_al.)/11%3A_Nuclear_Chemistry/11.E%3A_Nuclear_Chemistry_(Exercises)
# 11.E: Nuclear Chemistry (Exercises) ### Concept Review Exercise 1. What are the major types of radioactivity? Write chemical equations demonstrating each type. 1. The major types of radioactivity are alpha decay, beta decay, and gamma ray emission; alpha decay with gamma emission: $$\mathrm{_{86}^{222}Rn \rightarr...
2019-10-17T21:38:49
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https://stats.stackexchange.com/questions/510971/sum-of-squared-normals-sum-k-1nu-k2-frac1n-sum-k-1na-k2
# Sum of squared normals: $\sum_{k=1}^{n}U_k^2 = \frac{1}{n}\sum_{k=1}^{n}a_k^2 \cdot \Gamma\left(\frac{n}{2},\frac{1}{2}\right)$ Assume $$U_k \sim \mathcal{N}(0,a_k^2)$$, where $$a_k \rightarrow c > 0$$ as $$k \rightarrow \infty$$. It follows that $$U_k^2 \sim \Gamma(\frac{1}{2}, \frac{1}{2a_k^2})$$. I'm interested ...
2021-06-12T21:00:10
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https://cran.uib.no/web/packages/varycoef/vignettes/Introduction.html
# varycoef: An R Package to Model Spatially Varying Coefficients ## Introduction With the R package varycoef we enable the user to analyze spatial data and in a simple, yet versatile way. The underlying idea are spatially varying coefficients (SVC) that extend the linear model $y_i = x_i^{(1)} \beta_1 + ... + x_i^{(...
2023-03-21T10:29:16
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http://davegiles.blogspot.ca/2013/07/allocation-models.html
## Thursday, July 4, 2013 ### Allocation Models An "allocation model" is a special type of multi-equation model that has some interesting properties. This type of model arises quite frequently in applied econometrics, and it's worth knowing about it. In this post I'll explain what an allocation model is, and explore ...
2015-04-01T01:04:25
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https://math.stackexchange.com/questions/1907923/expectation-of-an-absolute-value-that-is-the-standard-normal
# Expectation of an Absolute Value that is the Standard Normal? Calculate E|Y| where Y is the standard normal. (Hints: (1) Calculate the integrals for positive and negative values of Y separately. (2) The answer must be bigger than 0.) Not sure how to approach this since no number were given. What am I supposed to be...
2022-05-25T12:47:54
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http://www.pawscapesart.com/perfume-samples-bskobe/algebraic-expression-problems-and-answers-d6a625
(x - 1)^{2 / 3} = 36. A chemist has three solutions that contain a 10%, 30%, and 50% respectively, of a certain acid. Do not factor. In the easiest way simplify a complex rational expression. 7(2x + 5) - 4(x + 2) - 20x. \dfrac{x^2 - 6x + 9}{x^2 - x - 6} \div \dfrac{x^2 + 2x - 15}{x^2 + 2x}, Simplify the equation below....
2021-04-19T18:38:24
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https://www.physicsoverflow.org/6402/symmetry-operators-defined-context-projective-symmetry-group
# Are the symmetry operators well defined in the context of Projective Symmetry Group(PSG)? + 3 like - 0 dislike 33 views Consider the Schwinger-fermion approach $\mathbf{S}_i=\frac{1}{2}f_i^\dagger\mathbf{\sigma}f_i$ to spin-$\frac{1}{2}$ system on 2D lattices. Just as Prof.Wen said in his seminal paper on PSG, the ...
2019-10-17T22:55:21
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http://kazune-lab.net/contest/2020/07/05/abc173/
# AtCoder Beginner Contest 173 Updated: AtCoder Beginner Contest 173 # Solutions ## A - Payment If you pay by $10,000$-yen bill, the shopper gives back the change by coins and 1,000 yen bills. Flush that sum of value of the coins, i.e., $(10000 - n) \% 1000$. ## B - Judge Status Summary It is better to use map<s...
2021-09-18T18:53:32
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https://pillowlab.wordpress.com/tag/tuning-curve/
# Lab Meeting 2/4/2013: Asymptotically optimal tuning curve in Lp sense for a Poisson neuron Optimal tuning curve is the best transformation of the stimulus into neural firing pattern (usually firing rate) under certain constraints and optimality criterion. The following paper I saw at NIPS 2012 was related to what we...
2022-01-20T10:57:33
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http://mathhelpforum.com/advanced-statistics/101865-need-help-writing-summation-format.html
# Math Help - Need help writing in a summation format 1. ## Need help writing in a summation format (13/52*12/52*11/52*...*1/52) How would I write this using a summation symbol. Thanks 2. Originally Posted by diddledabble (13/52*12/52*11/52*...*1/52) How would I write this using a summation symbol. Thanks First of a...
2016-07-30T22:03:23
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https://or.stackexchange.com/questions/4437/operation-hours-optimization-for-circular-schedule
# Operation hours optimization for circular schedule Here is my problem. A store has X = 15 electical devices with the ability to work non-stop, fully charged, up to 8 hours. Their battery charge lasts 2 hours and the operating hours of the store differ day over day, fortunately, this does not affect their charging. T...
2021-05-17T03:49:31
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https://www.bioportfolio.com/resources/pubmed/?filterfield=journal_name&filterval=Journal+of+physics.+Condensed+matter+%3A+an+Institute+of+Physics+journal
# PubMed Journal Database | Journal of physics. Condensed matter : an Institute of Physics journal 09:06 EDT 27th May 2019 | BioPortfolio The US National Library of Medicine and National Institutes of Health manage PubMed.gov which comprises of more than 29 million records, papers, reports for biomedical literature, ...
2019-05-27T13:06:16
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http://openstudy.com/updates/50425660e4b060a4c5a2f39d
LolWolf Group Title Show that the limit as x->0 of 3x^2/(\sin(4x^2))=3/4. Thanks. (Without l'Hospital's) 2 years ago 2 years ago 1. henpen $Lim(x \rightarrow 0)\frac{3x^2}{(\sin(4x^2)}$ 2. henpen Use$Lim (x \rightarrow 0) \frac{sinx}{x}=1\rightarrow sinx=x$ 3. henpen Why is this true? It's obvious if you graph it...
2014-10-25T23:57:09
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https://math.stackexchange.com/questions/430734/w-1-w-2-are-distinct-complex-numbers-such-that-w-1-w-2-1-and-w-1w-2-1
# $w_1,w_2$ are distinct complex numbers such that $|w_1|=|w_2|=1$ and $w_1+w_2=1$ I am stuck on the following problem: Let $w_1,w_2$ are distinct complex numbers such that $|w_1|=|w_2|=1$ and $w_1+w_2=1$.Then the triangle in the complex plane with $w_1,w_2,-1$ as vertices 1. must be isosceles ,but not necessarily e...
2019-04-25T21:43:54
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https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/annales-polonici-mathematici/all/86/1/84703/some-new-oscillation-criteria-for-second-order-elliptic-equations-with-damping
# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty ## Some new oscillation criteria for second order elliptic equations with damping ### Tom 86 / 2005 Annales Polonici Mathematici 86 (2005), 31-42 MSC: 35B05, 34C10. DOI: 10.4064/ap86-1-4 #### Streszczenie Some new oscillation crite...
2020-10-01T12:24:25
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http://freigeist.devmag.net/economics/248-inverse-land-size-productivity-relationship-endowments-should-not-matter.html
# Inverse land-size productivity relationship: Endowments should not matter Market frictions or market failures are seen as one of the most common reasons, why economies in developing countries suffer from a lack of growth. Some stylized facts indicate a huge disparity in the productivity especially in the primary arg...
2017-01-17T02:46:03
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http://mathhelpforum.com/calculus/168178-arc-length-problem-e.html
# Thread: Arc Length Problem with e 1. ## Arc Length Problem with e Explain why the two integrals are equal: $\int_1^e\sqrt{1 + \frac{1}{x^2}}dx = \int_0^1\sqrt{1 + e^{2x}}dx$ All I was able to work out is the two original functions: $f(x) = \frac{-1}{x}$ $g(x) = e^{2x}$ Looking at a graphing calculator, I can see...
2017-04-28T21:24:23
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https://cs.stackexchange.com/questions/131232/why-discriminate-the-base-case-allows-me-to-complete-the-induction-proof
# Why discriminate the base case allows me to complete the induction proof? I have a successful completed proof which used induction. but I essentially proved the goal on the base case by tactic discriminate. Why is this induction proof still stands? the principle of induction tells us induction involves three steps:...
2021-06-12T12:24:50
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https://dsp.stackexchange.com/questions/30631/how-do-i-measure-frequency-of-an-audio-file-into-an-array
# How do I measure frequency of an audio file into an array? So I know how to plot fft the audio file within Matlab and a window pops up. My question is, what next? I want to know how to go about measuring the frequency(s). I have two similar audio files, of two people saying the same thing, and i want to see if there...
2018-10-22T15:28:44
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https://typeset.io/authors/roger-penrose-4mxzbov8hd
Author # Roger Penrose Bio: Roger Penrose is an academic researcher from University of Oxford. The author has contributed to research in topic(s): General relativity & Quantum gravity. The author has an hindex of 78, co-authored 201 publication(s) receiving 39379 citation(s). Previous affiliations of Roger Penrose in...
2023-03-21T01:51:29
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https://www.spumone.org/courses/dynamics-notes/sysparticles/
Here is a collection of notes on the dynamics of a system of particles. The main definitions and relationships are summarized below. Definition of center of mass  $$\vec r_G$$ (derivation here): $$\boldsymbol{\vec r}_G = \frac{\sum_{j=1}^N m_j \, \boldsymbol{\vec r}_j}{\sum_{j=1}^N m_j} = \frac{\sum m_j \, \boldsymbo...
2022-09-24T15:48:35
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https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/722/2/c/c/
# Properties Label 722.2.c.c Level 722 Weight 2 Character orbit 722.c Analytic conductor 5.765 Analytic rank 0 Dimension 2 CM no Inner twists 2 # Related objects ## Newspace parameters Level: $$N$$ $$=$$ $$722 = 2 \cdot 19^{2}$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 722.c (of order $$3$$, de...
2020-08-08T15:21:26
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https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/MATH_345__-_Probability_(Kuter)/5%3A_Probability_Distributions_for_Combinations_of_Random_Variables/5.4%3A_Finding_Distributions_of_Functions_of_Continuous_Random_Variables
# 5.4: Finding Distributions of Functions of Continuous Random Variables ## Single Variable Case In addition to considering the probability distributions of random variables simultaneously using joint distribution functions, there is also occasion to consider the probability distribution of functions applied to rando...
2020-12-04T20:20:40
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http://openstudy.com/updates/4ff7dc2ee4b01c7be8ca92b2
## ParthKohli Group Title What is the equation of a hyperbola? 2 years ago 2 years ago 1. lgbasallote Group Title isnt it $\huge \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1?$ 2. Wired Group Title Close. Hyperbolas are centered on a point, so that needs to be in there as well: http://www.purplemath.com/modules/hyperbola.h...
2014-09-17T07:43:33
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https://www.feitsui.com/en/blog/page/6
## Lexical Normalization ### Introduction This project aims to predict the best match for each input token that is potentially misspelled, with respect to a reference dictionary. A pipeline consisting of exact string matching, approximate string matching and word frequency weighting is implemented. In the approximate...
2019-12-14T10:00:20
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https://www.physicsforums.com/threads/integral-of-e-constant-x-2.9061/
# Integral of e^-(constant)x^2 1. Nov 16, 2003 ### Kristen Need the integral of e^-(constant)x^2.........don't want to use guass integral trick 2. Nov 16, 2003 ### Ambitwistor Re: Integrals Here is a thread that discusses various ways for evaluating Gaussian integrals,
2016-07-25T02:23:40
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http://www.koreascience.or.kr/article/JAKO200531935951525.page
# 입자가 포함된 유동장에서 유체속도와 입자속도의 동시 측정기법 • Jin Dong-Xu (Thermal/Flow Control Research Center, Korea Institute of Science & Technology(KIST)) ; • Lee Dae-Young (Thermal/Flow Control Research Center, Korea Institute of Science & Technology(KIST)) ; • Lee Yoon-Pyo (Thermal/Flow Control Research Center, Korea Institute of Scie...
2020-09-25T20:44:23
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https://math.stackexchange.com/questions/398160/finite-ultraproduct
# Finite ultraproduct I stucked when trying to prove: If $A_\xi$ are domains of models of first order language and $|A_\xi|\le n$ for $n \in \omega$ for all $\xi$ in index set $X$ and $\mathcal U$ is ultrafilter of $X$ then $|\prod_{\xi \in X} A_\xi / \mathcal U| \le n$. My tries: If $X$ is finite set then $\mathca...
2019-07-16T02:49:06
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https://zbmath.org/?q=an%3A0810.35032
## Conditional stability in determination of densities of heat sources in a bounded domain.(English)Zbl 0810.35032 Desch, W. (ed.) et al., Control and estimation of distributed parameter systems: nonlinear phenomena. International conference in Vorau (Austria), July 18-24, 1993. Basel: Birkhäuser. ISNM, Int. Ser. Nume...
2022-10-06T02:04:10
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http://motls.blogspot.com/2009/02/covariant-matrix-theory.html
## Tuesday, February 10, 2009 ... ///// ### Covariant M(atrix) Theory Matsuo Sato (PDF) proposes a new approach to the covariant M(atrix) theory. Tsukuba, the home to the 3/4 of the IKKT model. As the author's name indicates, Sato loves the Japanese (IKKT) matrix model for type IIB string theory. My opinion whether...
2016-10-22T21:29:59
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http://eprint.iacr.org/2014/135
## Cryptology ePrint Archive: Report 2014/135 Anonymous Two-Factor Authentication in Distributed Systems: Certain Goals Are Beyond Attainment Ding Wang, Debiao He, Ping Wang, Chao-Hsien Chu Abstract: Despite two decades of intensive research, it remains a challenge to design a practical anonymous two-factor authenti...
2016-08-27T16:54:42
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https://tex.stackexchange.com/questions/308962/how-to-add-underbrace-outside-square-root
# How to add underbrace outside square root [duplicate] I am trying to use latex to write the below. The code I have makes the underbrace contained in the square root so the square root symbol is larger, but I want it like it is in the bottom picture. This is what I have: This is what I want: Here is my code: $\sqr...
2019-11-15T15:37:18
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https://matheducators.stackexchange.com/questions/1245/for-calculus-students-what-should-be-the-intuition-or-motivation-behind-series/1247
# For calculus students, what should be the intuition or motivation behind series? I've noticed that series are one of the most difficult portions of calculus for new students to learn. I think the level of abstraction has to do with this. Limits, derivatives, and integrals, as well as continuous functions, all have ...
2020-06-06T20:26:18
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https://www.hackmath.net/en/math-problem/243
# Diamond Determine the side of diamond if its content is S = 353 cm2 and one diagonal u2 = 45 cm. Result u1 =  15.7 cm #### Solution: $u_1 = \dfrac{ 2 \cdot 353} { 45} = 15.7 \ \text{ cm }$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could se...
2020-02-22T18:16:42
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http://jp.mathworks.com/help/physmod/elec/ref/inductionmotor.html?requestedDomain=jp.mathworks.com&nocookie=true
# Induction Motor ## Library Rotational Actuators ## Description The Induction Motor block represents the electrical and torque characteristics of an induction motor powered by an ideal AC supply. The following figure shows the equivalent circuit model of the Induction Motor block. In the figure: • R1 is the stat...
2016-09-25T08:52:39
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http://gaworld.ru/gcf-of-37-and-100
# GCF of 37 and 100 The gcf of 37 and 100 is the largest positive integer that divides the numbers 37 and 100 without a remainder. Spelled out, it is the greatest common factor of 37 and 100. Here you can find the gcf of 37 and 100, along with a total of three methods for computing it. In addition, we have a calculato...
2018-06-22T13:08:42
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http://mathhelpforum.com/trigonometry/67569-solve-equations-0-x-2pi.html
# Math Help - Solve Equations 0< or = x < or = 2pi 1. ## Solve Equations 0< or = x < or = 2pi How would you solve these Solve Equation cos(squared)x - sin(squared) x = - cos x, 0 < or = to x < or equal 2 pi. Answear is in form of this pi divided by 2, 2pi divided by 3, 4 pi divided by 3, 3 pi divided by 2 this is p...
2015-05-30T00:30:42
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https://www.cis.upenn.edu/~cis194/fall16/hw/08-functor-applicative.html
# Homework 8: Functor and Applicative CIS 194: Homework 8 Due Tuesday, October 25 ## Exercise 1: A Functor instance Given the following two data type definitions: data ComplicatedA a b = Con1 a b | Con2 [Maybe (a -> b)] data ComplicatedB f g a b = Con3 (f a) | Con4 (g b) | Con5 (g (g [b])) Implement a Functor ins...
2020-10-21T07:55:19
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https://memgraph.com/docs/mage/query-modules/cpp/bridges
# bridges ## Abstract​ A bridge in the graph can be described as an edge which if deleted, creates two disjoint graph components. This algorithm finds bridges within the graph. This algorithm has various practical usages such can be road or internet network design planning. A bridge can represent a bottleneck for man...
2022-12-09T04:53:31
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https://math.stackexchange.com/questions/2798044/ring-homomorphisms-and-noetherian
# Ring Homomorphisms and Noetherian…? I am confused by the following corollary that appears in this book (just search "Corollary 7.8.11" for the appropriate page): Corollary 7.8.11 Let $f : A \to B$ be a ring homomorphism and suppose that $B$ is finitely generated as a left $A$-module. Then if $A$ is left Noetherian ...
2019-11-22T00:54:57
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http://quomodocumque.wordpress.com/2012/09/03/mochizuki-on-abc/
## Mochizuki on ABC [Update:  Lots of traffic coming in from Hacker News, much of it presumably from outside the usual pro number theory crowd that reads this blog.  If you're not already familiar with the ABC conjecture, I recommend Barry Mazur's beautiful expository paper "Questions about Number."] [Re-update:  Min...
2013-05-25T05:38:20
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http://mathhelpforum.com/advanced-statistics/93138-using-x-2-test-test-claim-please-help.html
Use a x2 test to test the claim that in the given contigency table, the row variable and the column variable are independent. Use the sample data below to test whether car color affects the likelihood of being in an accident. Use significance level of 0.01 red blue white car was in accident 28 33 36 car was not in acc...
2015-10-07T01:12:59
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https://socratic.org/questions/how-do-you-find-the-amplitude-and-period-of-y-1-2sin2theta
# How do you find the amplitude and period of y=1/2sin2theta? Jan 25, 2017 $\text{amplitude " =1/2," period} = \pi$ #### Explanation: The standard form of the $\textcolor{b l u e}{\text{sine function}}$ is. $\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = a \sin ...
2021-04-13T01:09:06
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http://www.maths.usyd.edu.au/u/pubs/publist/preprints/2015/howlett-4.html
## W-graph ideals and biideals ### Robert B. Howlett and Van Minh Nguyen #### Abstract We further develop the theory of $$W\!$$-graph ideals, first introduced by the authors in reference [6]. We discuss $$W\!$$-graph subideals, and induction and restriction of $$W\!$$-graph ideals for parabolic subgroups. We introdu...
2017-11-23T03:29:50
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http://clay6.com/qa/30866/tbhq-stands-for-
Browse Questions # $TBHQ$ stands for , $(a)\;\text{Tertiary butyl hydrazine} \\ (b)\;\text{Tertiary butyl hydroquinone} \\(c)\;\text{Tert -butyl hydrate} \\ (d)\;\text{Tertiary benzyl quninone}$ $TBHQ$ is an antioxidant with the chemical structure tertiary butyl hydroquinone. Hence b is the correct answer.
2017-06-28T00:15:55
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https://www.houseofmath.com/encyclopedia/numbers-and-quantities/vectors/two-dimensions/products-and-vector-calculation/how-to-find-the-scalar-product-of-two-vectors-2d
# How to Find the Scalar Product of Two Vectors (2D) The scalar product or dot product is one of the most important mathematical operations related to vectors, most of all because it shows whether two vectors are perpendicular ($90$° between them) or not. When two vectors are perpendicular, they are said to be orthogo...
2022-07-06T15:41:59
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https://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-for-college-students-7th-edition/chapter-9-section-9-5-exponential-and-logarithmic-equations-exercise-set-page-727/62
## Intermediate Algebra for College Students (7th Edition) $x \approx 0.72$ Subtract $7$ on both sides to obtain: $3\ln{x} = -1$ Divide $3$ on both sides of the equation to obtain: $\ln{x} = -\dfrac{1}{3}$ RECALL: $\ln{x}= y \longrightarrow e^y=x$ Use the rule above to obtain: $e^{-\frac{1}{3}}=x$ Use a calculator to ...
2018-07-20T20:34:52
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https://www.cuemath.com/ncert-solutions/q-3-exercise-11-1-mensuration-class-8-maths/
# Ex.11.1 Q3 Mensuration Solutions - NCERT Maths Class 8 Go back to  'Ex.11.1' ## Question The shape of a garden is rectangular in the middle and semicircular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is $$20 – (3.5 + 3.5)$$ meters]. Video Solution Mens...
2021-05-07T13:09:50
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https://axiomsofchoice.org/canonical_entropy
## Canonical entropy ### Set context $F(\beta)$ … classical canonical free energy range $T\equiv 1/(k_B \beta)$ definiendum $S(T):=-\frac{\partial F(T)}{\partial T}$
2019-05-20T17:43:05
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https://www.maa.org/press/books/diophantus-and-diophantine-equations
Diophantus and Diophantine Equations By I.G. Bashmakova Print ISBN: 978-0-88385-526-3 104 pp., Paperbound, 1997 List Price: $27.00 MAA Member:$20.25 Series: Dolciani Mathematical Expositions Most readers associate the mathematics of antiquity with Euclid’s Elements and the works of Archimedes and Apollonius. This wo...
2020-06-05T05:40:43
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https://www.gradesaver.com/textbooks/math/calculus/calculus-3rd-edition/chapter-13-vector-geometry-13-5-planes-in-3-space-exercises-page-685/53
# Chapter 13 - Vector Geometry - 13.5 Planes in 3-Space - Exercises - Page 685: 53 $$3\lambda x+by+2 \lambda z=5\lambda.\\ \lambda\neq 0.$$ #### Work Step by Step The equation of any plane that intersects the $xz$-plane in the line $3x+2z=5$ is given by $$ax+by+cz=d.$$ Now, to find the $xz$ intersection, we put $y=0...
2021-05-07T01:41:17
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https://www.math-only-math.com/volume-of-cube.html
# Volume of Cube Here we will learn how to solve the application problems on Volume of cube using the formula. Formula for finding the volume of a cube Volume of a Cube (V) = (edge)3 = a3; where a = edge 1. A cubical wooden box of internal dimensions 1 m × 1 m × 1 m is made of 5 cm thick wood. The wood costs Rs. 1...
2019-09-22T05:37:22
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https://www.physicsforums.com/threads/electrostatics-finding-the-work-done.739149/page-2
# Electrostatics - finding the work done I would actually recommend that you position the triangle exactly as shown in the first figure, with the x-axis rightward and the y-axis upward, and the right angle at the origin. You won't actually have to integrate that, so don't worry about having to express the other bounda...
2021-09-24T16:22:14
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https://discourse.julialang.org/t/simple-regression-using-diffeqflux/66842
# Simple Regression using DiffEqFlux I am trying to work out a simple application of NeuralODE for regression problems, based on the following tutorial. Core idea here being (as per my understanding) that regression problems can be modelled as y = \int_{t0}^{t1} F(x)dt \\ = \int_{t0}^{t1}NeuralODE(nn, (t0,t1),Tsit5(...
2021-09-24T23:27:18
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https://brokeregvjwge.netlify.app/stopp18554li/z-score-formula-online-233.html
## Z score formula online 21 Jun 2017 Download the Altmans Z Score Calculator in MarketXLS. It is a long formula but it is not very difficult to calculate once you have all the numbers. Z Score Formulas The Z Score Formula: One Sample. The basic z score formula for a sample is: z = (x – μ) / σ. For example, let’s say...
2022-06-28T22:08:06
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https://mathoverflow.net/questions/236237/limit-theorem-reproduce-a-proof-with-an-adaption-from-discrete-to-continuous-t
Limit theorem : reproduce a proof with an adaption from discrete to continuous time Im considering Theorem 5.2.2 in M. Sørensen "Exponential Families of stochastic processes". The setup is as follows: We have a Levy-Process $X_t$ fullfilling the CLT \begin{align} \sqrt{t}(X_t/t-E(X_1))\xrightarrow{d}\mathcal{N}(0,\si...
2022-05-16T19:51:03
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http://mathhelpforum.com/advanced-statistics/30665-standard-deviation.html
# Math Help - Standard Deviation 1. ## Standard Deviation Let X be a random variable with probability density function: f(x)= (3/4)(1-x^2), -1 < x < 1 0, otherwise What is the standard deviaton of x? Let X be a random variable with probability density function: f(x)= (3/4)(1-x^2), -1 < x < 1 0, otherwise What is...
2015-05-27T22:02:05
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https://math.stackexchange.com/questions/1923301/existence-of-a-and-b-such-that-a2-4a4i-0-ab-beginpmatrix-4-1
# Existence of $A$ and $B$ such that $A^2-4A+4I=0$, $A+B=\begin{pmatrix} 4 & 1 \\ -3 & 4\end{pmatrix}$ and $AB=$… Question: Prove or disprove that $A$ and $B$ exist such that \begin{align} &A^2-4A+4I=0\\ &A+B=\begin{pmatrix} 4 & 1 \\ -3 & 4\end{pmatrix}\\ &AB=\begin{pmatrix} 1 & 1 \\ -9 & 3\end{pmatrix}\\ \end{align} ...
2019-07-21T13:11:48
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https://thatsmaths.com/tag/arithmetic/
## Posts Tagged 'Arithmetic' ### “Dividends and Divisors Ever Diminishing” Next Saturday is Bloomsday, the anniversary of the date on which the action of Ulysses took place. Mathematical themes occur occasionally throughout Ulysses, most notably in the penultimate episode, Ithaca, where the exchanges between Leopold ...
2018-06-25T13:23:15
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https://www.physicsforums.com/threads/help-and-fast-please.55827/
1. Dec 7, 2004 ### Drey0287 A car is designed to get its energy from a rotating flywheel whth a radius of 2 m and a mass of 500 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5000 rev/min. (a) Find the kinetic enrgy stored in the flywheel. (b) If t...
2017-10-23T23:20:56
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https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=17&t=34468
## Deriving Rydberg's Equation H-Atom ($E_{n}=-\frac{hR}{n^{2}}$) Timothy_Yueh_4L Posts: 57 Joined: Fri Sep 28, 2018 12:28 am ### Deriving Rydberg's Equation How do you derive E = Rh (1/nf^2 – 1/ni^2) from v = R (1/nf^2 – 1/ni^2)? WilliamNguyen_4L Posts: 65 Joined: Fri Sep 28, 2018 12:28 am ### Re: Deriving Rydbe...
2020-08-11T10:21:28
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http://math.stackexchange.com/questions/123990/distance-between-orthocenters
# Distance between orthocenters Given a triangle $\Delta ABC$ with angle $\angle ACB=90^\circ$. The bisector of $\angle ACB$ intersects $AB$ at $L$. If $AC=4 \operatorname {cm}$. and $BC=5 \operatorname {cm}$, find the distance between the orthocenter $H_1$ of $ALC$ and the orthocenter $H_2$ of $BLC$. - If one draws...
2015-08-02T04:27:26
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https://kthpanor.github.io/echem/docs/spec_prop/tddft_rpa.html
# Spectrum calculation# ## Random-phase approximation# The linear response TDHF equations, also known as the random phase approximation (RPA), involves the solution of a non-Hermitian eigenvalue equation which can be written as: $\begin{equation*} \left( \begin{array}{cc} \mathbf{A} & \mathbf{B} \\ \mathbf{B}^* & \m...
2022-10-02T15:48:20
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https://math.stackexchange.com/questions/2883197/divergence-convergence-of-the-series
# Divergence/convergence of the series [closed] Given that $\frac{1}{\sqrt{x}} \ge \frac{1}{x+1}$ for all $x> 0$, determine the convergence or divergence of the series, $$\sum_{k=1}^{\infty}\left( \frac{1}{\sqrt{2k-1}} - \frac{1}{2k} \right)$$ Any hints would be much appreciated, this is really making my head hurt. I...
2019-07-18T13:21:06
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https://codeahoy.com/learn/appliedfp/ch6/
# Typeclasses - custom and predefined ## Typeclasses Typeclass is a class of types with a definition of common functions for all instances of that class. Please note that the term “class” here means a mathematical class in the set theory, not an object-oriented class!. Typeclasses represent a powerful means for poly...
2022-12-02T04:08:38
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