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https://stats.stackexchange.com/questions/223577/constrained-optimization-algorithm-in-linear-regression
# Constrained optimization algorithm in linear regression I am interested in the following constrained parameter estimation in linear regression, $$\min_\beta\sum_{i=1}^{n}(y_i-x_i\beta)^2 + \lambda \sum_{j}^{p}f(\beta_j)$$ where the model is $y=x\beta+e$, $e_i\sim i.i.d. N(0,\sigma^2)$ and $f$ is a penalty function. ...
2023-04-01T09:58:52
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https://en.wikibooks.org/wiki/Engineering_Analysis/Linear_Transformations
# Engineering Analysis/Linear Transformations ## Linear Transformations A linear transformation is a matrix M that operates on a vector in space V, and results in a vector in a different space W. We can define a transformation as such: ${\displaystyle T:V\to W}$ In the above equation, we say that V is the domain sp...
2017-08-21T16:12:19
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https://mathematica.stackexchange.com/questions/87691/how-to-do-make-plot-automatically-figure-out-a-domain-interval
How to do make Plot automatically figure out a domain interval? When you tell Wolfram|Alpha to plot something, it automatically figures out a reasonable domain to plot it over. When I try something like Plot x^2 + y^2 = 1000 it automatically translates that to ContourPlot[x^2 + y^2 == 1000, {x, -40, 40}, {y, -40, ...
2021-08-04T03:10:22
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https://www.transtutors.com/questions/need-help-answering-1206599.htm
Document Preview: Name: Directions: In this project you will be using the States Data file that is found in Doc Sharing under the Instructor-Graded Projects: Steps for accessing the States Data file: Open your Excel with PhStat2 Click File—Open Select the States Data file Not all questions require the use of technolog...
2020-01-22T11:26:58
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https://www.physicsforums.com/threads/proof-of-existence-of-a-jordan-form.157887/
# Proof of existence of a Jordan form? I have been recently introduced to the idea of Jordan form of a matrix, and I have attempted to prove it. However, there is one step that I cannot prove. If I can prove the step, then everything else is done. Let A be a m by m matrix with characteristic polynomial $$ch(x)=(x-\la...
2022-05-26T12:25:01
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https://www.xinjianl.com/note/math/analysis/matrix/
# 0x023 Matrix Analysis Contents Index ## Foundation ### Subspace Definition (fundamental subspace) There are four fundamental subspaces in linear algebra • $N(A)$: null space of A • $C(A)$: column space of A • $N(A^T)$: null space of $A^T$ • $C(A^T)$: row space of $A$ Lemma • $N(A) \perp C(A^T)$ • $N(A) + C(A) ...
2020-11-30T04:35:07
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https://stats.stackexchange.com/questions/268846/granger-causality-and-positive-semidefiniteness/268933
# Granger Causality and positive semidefiniteness Suppose that we have vector $y_t = (z_t, x_t)'$ for $t = 1, 2, \dots, T$. Let $\Omega_t$ be the information set available at time $t$ and $z_t(h|\Omega_t)$ be optimal $h$-step predictor. $\Sigma_z(h|\Omega_t)$ denotes forecast MSE matrix. We say that $x_t$ helps to pr...
2019-07-21T15:33:38
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http://math.stackexchange.com/questions/163837/why-does-the-following-define-a-distribution-and-of-which-order?answertab=oldest
# Why does the following define a distribution and of which order? I want to show that $$\phi\mapsto\underset{\varepsilon\searrow 0}{lim}\int_{-\infty}^{\infty}\frac{\phi(x)}{x+i\varepsilon}dx$$ defines a distribution on $\mathcal{D}(\mathbb{R})$ but I just don't come up with a good idea to show that. Second part woul...
2016-05-01T18:16:49
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https://forum.allaboutcircuits.com/threads/rl-transfer-function-struggling-with-what-to-do-with-wave-input-v.165736/
# RL Transfer Function: Struggling with what to do with wave Input V #### worthia2 Joined Dec 21, 2019 1 I have exams next month, our lecturer left a bit uncovered this section being one of them so any help is appreciated . This is the circuit: The R = 2Ω and L = 2H. Vs(t) = 12cos(50t + 30°). I had to find the trans...
2021-12-06T06:44:53
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https://www.albert.io/learn/gmat/question/creating-a-ratio-to-substitute-into-a-proportion-solve-for-dollarxdollar
Limited access Assume that the two statements below are both true. (1) $x+y=5y-4$ (2) $3xy=9$ Which of these statements is sufficient to find a numerical value of $x$? A Statement (1) ALONE is sufficient to answer the question, but statement (2) ALONE is not. B Statement (2) ALONE is sufficient to answer the que...
2017-04-28T10:13:19
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https://testbook.com/question-answer/two-circles-of-same-radius-5-cm-intersect-each-ot--60dc53271215d57860bcd6bf
# Two circles of same radius 5 cm, intersect each other at A and B. If AB = 8 cm, then the distance between the centres is 1. 10 cm 2. 4 cm 3. 6 cm 4. 8 cm Option 3 : 6 cm Free CT 1: General Knowledge (History Part 1) 17570 10 Questions 20 Marks 12 Mins ## Detailed Solution Given: Radius of both the circle = 5 cm ...
2021-10-25T16:54:56
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https://brilliant.org/problems/is-quartic-a-square/
# Is Quartic a square? $\large x^4-4x^3+22x^2-36x+18$ Find sum of all positive integer values of $$x$$ such that the expression above is a perfect square. × Problem Loading... Note Loading... Set Loading...
2018-10-20T11:54:21
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https://stats.stackexchange.com/questions/518693/prior-distribution-on-bayesian-t-test
Prior distribution on Bayesian T Test? I have two subgroups of structure (bone structure) and I want to test if there is any difference of size (area) between them, and if there is, how important this difference is. The first set is a group non-heated, and the second was heated. I wanted to do a Bayesian T-test (Mann-...
2021-07-31T06:07:52
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https://www.mathcounterexamples.net/counterexamples-around-banach-steinhaus-theorem/
# Counterexamples around Banach-Steinhaus theorem In this article we look at what happens to Banach-Steinhaus theorem when the completness hypothesis is not fulfilled. One form of Banach-Steinhaus theorem is the following one. Banach-Steinhaus Theorem Let $$T_n : E \to F$$ be a sequence of continuous linear maps from...
2020-07-12T20:35:01
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https://uniontestprep.com/tsia2/practice-test/elar-reading/pages/1
# Question 1-ELAR: Reading Practice Test for the TSIA2 In the first paragraph of the attached passage, the word “incessantly” most nearly means ____. (This passage is an excerpt from Kate Chopin’s The Awakening) Mrs. Pontellier reached over for a palm-leaf fan that lay on the porch and began to fan herself, while Ro...
2023-03-23T02:30:24
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https://www.physicsforums.com/threads/normal-frequencies-of-2-pendula-connected-with-a-massless-rigid-rod.189970/
Normal frequencies of 2 pendula connected with a massless rigid rod 1. Oct 8, 2007 smithg86 1. The problem statement, all variables and given/known data I need to figure out the normal frequencies (or eigenfrequencies) of a system of two simple pendula (call them A and B), connected with by a massless rigid rod at ...
2017-08-21T09:22:41
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https://math.stackexchange.com/questions/3164575/drunk-guys-in-a-race-who-will-win-random-walk
# Drunk guys in a race, who will win? (random walk) We initially have M drunk guys located on the x-axis at positions $$\mu_1,...,\,u_M$$. As they are all completely "wasted", they will just randomly walk around in this 1D space for a while. After a few minutes, we want to find out which guy is located the furthest to...
2021-01-21T21:01:33
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https://programmer.ink/think/5ebe925358899.html
# [ML] write a credit qualification evaluation system -- handwritten logistic regression model Posted by stuartc1 on Fri, 15 May 2020 14:59:04 +0200 ## [ML] write a credit qualification evaluation system -- handwritten logistic regression model In the era when everyone talks about big data, the position of data proc...
2020-07-10T02:56:14
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http://www.tac.mta.ca/tac/volumes/1999/n3/5-03abs.html
A note on the exact completion of a regular category, and its infinitary generalizations Stephen Lack A new description of the exact completion $\cal C_{ex/reg}$ of a regular category $\cal C$ is given, using a certain topos $Shv(\cal C)$ of sheaves on $\cal C$; the exact completion is then constructed as the closure...
2015-07-29T22:00:31
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https://www.physicsforums.com/threads/exact-vector-differentials.370845/
# Exact (vector) differentials 1. Jan 19, 2010 ### AxiomOfChoice Can someone please tell me necessary and sufficient conditions on a differential $$d \mathbf F$$, where $$\mathbf F$$ is a vector field, for the differential to be exact? 2. Jan 21, 2010 ### AxiomOfChoice Well, maybe an easier (hopefully?) question ...
2018-06-18T06:29:33
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https://chemistry.stackexchange.com/questions/35230/what-is-the-difference-between-reacting-and-dissolving
# What is the difference between reacting and dissolving? When one chemical is added to another how would we come to know whether the compound dissolves in it or reacts with it? For example $\ce{AgNO3}$ dissolves in $\ce{CCl4}$ whereas it could also have been a double displacement reaction. And what is the major diffe...
2019-11-14T06:22:05
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http://www.askamathematician.com/2014/10/q-why-is-the-area-of-a-circle-equal-to-%CF%80r2/
# Q: Why is the area of a circle equal to πR2? Physicist: To demonstrate this you typically have to use either calculus or oranges.  They both use more or less the same ideas, they’re just applied in different ways. Oranges: The relevant fruit structure what makes the math happen. Imagine taking an orange wedge and...
2017-03-26T05:23:01
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https://www.aimsciences.org/article/doi/10.3934/dcds.1998.4.467
# American Institute of Mathematical Sciences July  1998, 4(3): 467-474. doi: 10.3934/dcds.1998.4.467 ## Subharmonic solutions for second order Hamiltonian systems 1 Department of Mathematics, Yokohoma University, Yokohoma, Japan 2 Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, US...
2019-11-20T01:04:02
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https://scientificallysound.org/2021/12/14/causation-1b-measuring-causal-effects/
## Causation 1b: Measuring causal effects In the previous post, we defined a causal effect and learned the difference between individual vs average causal effects. Let’s refresh the concepts. An average causal effect is present if the average potential outcome of a group of individuals under one action is not equal to...
2022-10-02T06:44:30
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http://mathoverflow.net/tags/hypergeometric-functions/info
# Tag Info ## About hypergeometric-functions Hypergeometric functions are the analytic functions defined by Taylor expansions of the shape $\sum_{n \geq 0} a_n x^n$, where $a_{n+1}/a_n$ is a rational function of $n$. This general family of functions encompasses many classical functions. The hypergeometric functions p...
2016-02-13T09:03:31
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http://mathhelpforum.com/advanced-statistics/25366-understanding-meaning-answer.html
# Math Help - understanding the meaning of the answer 1. ## understanding the meaning of the answer All the answers to these excercices on hypothesis testing go like this : " therefore reject H_0 at a alfa greater than **(number)** " WHat does it mean? For example, at this last excercice I got that the P-value was 0....
2015-05-30T14:55:31
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https://worksheets.tutorvista.com/mean-value-theorem-worksheet.html
To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free) # Mean Value Theorem Worksheet Mean Value Theorem Worksheet • Page 1 1. We verify the "Mean Value theorem" for a function $f$ ($x$): a. If it is continuous on [$a$, $b$] b. If it is differentiable on ($a$, $b$) c. If it is continuous on ($a$ , $b$) d....
2018-02-25T13:59:43
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https://eduzip.com/ask/question/the-expression-ml-1t-2-does-not-represent-273393
Physics # The expression $[ML^{-1}T^{-2}]$ does not represent power ##### SOLUTION Dimension of pressure, stress & Young's modulus is $\left[ { M }^{ 1 }{ L }^{ -1 }{ T }^{ -2 } \right]$ while dimension of power $=\dfrac {energy}{time}=\dfrac {ML^2T^{-2}}{T}=[ML^2T^{-3}]$. You're just one step away Single Correct ...
2021-11-30T13:20:43
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http://cis.jhu.edu/~shanest/project/metricpatterntheory/additional/advection/advection3.html
Time = ## Gaussian Wave Initial condition: Gaussian function Here we generate a wave given the initial condition of \phi(x,0)=f(x)=Ae^{\frac{-(x-\mu)^2}{2\sigma^2}} which is a Guassian function with amplitude $$A$$, mean $$\mu$$ and variance $$\sigma^2$$. As in the previous exercise, we fix values of $$A$$,$$\mu$...
2013-12-12T15:56:56
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https://www.physicsforums.com/threads/complex-number-equality-problem.843816/
# Complex number equality problem Tags: 1. Nov 18, 2015 ### v4valour 1. The problem statement, all variables and given/known data The problem states that you need to solve the following equation (without a calculator) : z^5 = z̅ 2. Relevant equations z=a+bi and z̅=a-bi 3. The attempt at a solution So far I've trie...
2018-02-23T05:06:04
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http://physics.stackexchange.com/questions/56094/coulomb-barrier-and-proton-evaporation
# Coulomb barrier and proton evaporation Why is it that neutrons evaporate from nuclei more easily than protons do? Intuitively, since protons are electrostatically repelled (in addition to whatever nuclear forces they have in common with neutrons), one would expect protons to be ejected more readily than neutrons. (...
2015-10-07T12:47:40
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http://mathoverflow.net/questions/18785/additive-structure-in-a-small-multiplicative-group-of-a-finite-field
additive structure in a small multiplicative group of a finite field? Let $p$ be a prime. Given a positive integer $n$, does there exist a $\beta$ in an extension of $F_p$ such that 1) If $F_p[\beta] = F_{p^N}$, then $N > n^n$; ( $\beta$ lies in a high extension) 2) The order of $\beta$ is at most $2^{poly(n)}$; ( $...
2014-10-22T12:29:24
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https://blog.jordan.matelsky.com/candles-and-subgraphs/
# Binary Chanukkah candles, and induced subgraphs, somehow This will not be a particularly gratifying math story. We’ll get 83% of the way to a fascinating instance of duality, and then swerve away at the last minute, and we’re left with bupkis. The story starts with me facetiming my parents on December 13th. Decembe...
2021-01-25T13:44:39
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https://www.studyadda.com/solved-papers/jee-main-paper-held-on-10-4-2019-morning_q32/817/374636
• # question_answer SOLUTION A bacterial infection in an internal wound grows as $N'(t)={{N}_{0}}$ exp(t), where the time t is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as $\frac{dN}{dt}=-5{{N}^{2}}.$What will be the plot of ...
2020-09-20T18:17:26
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https://www.aimsciences.org/article/doi/10.3934/dcdsb.2017148
# American Institute of Mathematical Sciences December  2017, 22(10): 3671-3689. doi: 10.3934/dcdsb.2017148 ## Area preserving geodesic curvature driven flow of closed curves on a surface 1 Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojano...
2020-01-27T03:14:57
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https://www.queryhome.com/puzzle/39902/buys-firework-then-sells-700-then-buys-back-for-800-but-sells
# A man buys a firework for Rs. 600, then he sells it for Rs. 700, then he buys it back for Rs. 800 but sells............. 186 views A man buys a firework for Rs. 600, then he sells it for Rs. 700, then he buys it back for Rs. 800 but sells it for Rs. 900. How much money did he make? posted Jul 5 Looking for solutio...
2021-10-21T14:40:53
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https://socratic.org/questions/58e7d323b72cff09e3876a21
# What mass of copper(II) chloride is required to prepare sodium chloride from a 3.65*g mass of sodium metal? Apr 8, 2017 Approx. $4 \cdot g$ of $\text{copper salt}$ are required....... #### Explanation: We have a molar quantity of $\frac{3.65 \cdot g}{58.44 \cdot g \cdot m o {l}^{-} 1} = 0.0625 \cdot m o l$ with r...
2020-01-26T11:12:10
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http://lql.uni-trier.de/index.php/Char_Complexity
# Char Complexity 1. Problem and history The complexity of Chinese characters can be measured in terms of the number of strokes. The stroke is a segment written with one uninterrupted movement. The question arises whether complexity follows a regular distribution. Evidently, this is a special case of (→) length distr...
2022-08-07T16:52:48
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http://mathoverflow.net/questions/106163/inter-kissing-number-for-non-spheres
# Inter-Kissing Number for Non-Spheres In 3D, the maximum number of spheres which can inter-touch is 5 (mathoverflow.net/questions/106120). This maximum reduces to 4 for unit spheres. Is there a different shape (e.g., an egg, or a pyramid) for which these maximums are not 5 and 4? If so, what shape has the highest ma...
2015-04-01T10:40:31
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https://electronics.stackexchange.com/questions/324380/impedance-matching-a-variable-transmission-line
# Impedance matching a variable transmission line I have several transmission lines, each with different impedances. These lines are attached to an ADC receiver with a known impedance of 400ohm. I would like to have an impedance matching network that matches the impedance for an arbitrary transmission line to my 400o...
2019-10-14T23:01:35
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https://brilliant.org/practice/geometric-progressions-level-2-3-challenges/
× ## Geometric Progressions A geometric progression is a sequence of numbers where the previous term is multiplied by a constant to get the next term. 1, 2, 4, 8,... is a geometric sequence where each term is multiplied by 2. # Level 2 An infinite crowd of mathematicians enters a bar. The first one orders a pint, t...
2016-09-28T00:04:30
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http://math.stackexchange.com/questions/252385/how-to-find-the-tightest-bounds-of-sequences-using-squeeze-theorem
# How to find the tightest bounds of sequences using squeeze theorem? I am trying to determine how to find the tightest upper and lower bounds when using the squeeze theorem. If there is a general technique to determining them I would appreciate the insight. Specifically I have this problem: $$\lim_{n\to \infty} \sqr...
2014-03-14T11:41:21
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http://msp.org/ant/2014/8-8/p05.xhtml
#### Vol. 8, No. 8, 2014 Download this article For screen For printing Recent Issues The Journal Cover Editorial Board Editors' Addresses Editors' Interests About the Journal Scientific Advantages Submission Guidelines Submission Form Subscriptions Editorial Login Contacts Author Index To Appear ISSN: 1944-7833 (e-...
2016-12-05T02:20:42
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http://openstudy.com/updates/55f99fade4b0b96d8936b4d1
A community for students. Sign up today Here's the question you clicked on: anonymous one year ago Let f(x) = x − 3 and g(x) = x + 11. Find f(x) ⋅ g(x). • This Question is Open 1. SolomonZelman $$\large\color{blue}{ \displaystyle f(x)=x-3 }$$ $$\large\color{teal}{ \displaystyle f(x)=x+11 }$$ $$\large\color{black}{ ...
2016-10-23T03:09:42
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http://mathematica.stackexchange.com/tags/symbolic/hot?filter=week
# Tag Info 3 I believe the reason for the confusion is the way the Dot product operates. It is a Flat but non-commutative operation when the factors aren't just vectors. In particular, it contracts the last index of the first factor with the first index of the next factor, going from left to right. But in the form $a...
2015-04-27T04:12:22
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http://ndl.iitkgp.ac.in/document/MERMZVliYnhaQUQwVDZmbGYzUHo4UllXdC9SWW9KRnY3VTFkZ2ZyRFhvOD0
The PCP theorem by gap amplificationThe PCP theorem by gap amplification Access Restriction Subscribed Author Dinur, Irit Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Copyright Year ©2007 Language English Subject Domain (in DDC) Computer science, i...
2020-07-14T10:38:11
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http://theinfolist.com/html/ALL/s/Gravitational_singularity.html
TheInfoList A gravitational singularity, spacetime singularity or simply singularity is a condition in which gravity Gravity (), or gravitation, is a by which all things with or —including s, s, , and even —are attracted to (or ''gravitate'' toward) one another. , gravity gives to s, and the causes the s of the oceans...
2022-06-30T16:16:42
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https://github.com/getkeops/keops/blob/main/doc/api/math-operations.rst
{{ message }} / keops Public Switch branches/tags Could not load branches Nothing to show Cannot retrieve contributors at this time 262 lines (195 sloc) 18.2 KB # Formulas and syntax KeOps lets us define any reduction operation of the form \alpha_i = \operatorname{Reduction}_j\limits \big[ F(x^0_{\iota_0}, ... , x^...
2022-07-06T23:33:53
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https://www.sarthaks.com/2750368/average-monthly-salary-group-workers-factory-managers-salary-added-average-salary-becomes
# The average monthly salary of a group of 7 workers in a factory is Rs. 2260. If the manager’s salary is added, the average salary becomes Rs. 3500 per 19 views in Aptitude closed The average monthly salary of a group of 7 workers in a factory is Rs. 2260. If the manager’s salary is added, the average salary becomes ...
2022-11-27T06:00:38
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http://openstudy.com/updates/4db18b9264cb8b0bb23b5f6e
## anonymous 5 years ago how to find the zeros of $x ^{3}$ + x + 10 1. nikvist $x^3+x+10=0$ $(x+2)\cdot(x^2-2x+5)=0$ $(x+2)\cdot((x-1)^2+4)=0$ $x_1=-2\quad,\quad x_{2,3}=1\pm 2i$ 2. anonymous but how to find the first step? 3. anonymous well i see - something you have to get used to ^^ thanks a lot 4. anonymous ...
2017-01-22T04:10:36
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https://en.wikipedia.org/wiki/Todd-Coxeter_algorithm
# Todd–Coxeter algorithm (Redirected from Todd-Coxeter algorithm) Jump to navigation Jump to search In group theory, the Todd–Coxeter algorithm, created by J. A. Todd and H. S. M. Coxeter in 1936, is an algorithm for solving the coset enumeration problem. Given a presentation of a group G by generators and relations ...
2022-07-04T16:57:39
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http://icemed.is/u7rzwawt/5etunw3.php?tag=218039-electromagnetic-radiation-formula
| E I {\displaystyle M_{1}=N\left(\mathrm {d} \Phi _{2}/\mathrm {d} I_{1}\right)\,\! 1,2 subscripts refer to two conductors/inductors mutually inducing voltage/ linking magnetic flux through each other. ν= frequency of the electromagnetic wave and. Explanation: #h# is Planck's Constant, #f# is the frequency, #c# is the...
2021-04-19T02:50:08
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http://math.stackexchange.com/questions/140071/generating-uniformly-distributed-random-variables-with-given-mean-and-deviation
# Generating uniformly distributed random variables with given mean and deviation I don't understand maths very well so sorry for my newbie question. Imagine I have a bank and clients of this bank. Clients arrive following a uniform distribution with $3.5$ mean and $1.3$ standard deviation. How can I calculate a ran...
2015-08-28T10:25:22
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http://math.stackexchange.com/tags/linear-algebra/hot
# Tag Info 21 I was a teaching assistant in Linear Algebra previous semester and I collected a few applications to present to my students. This is one of them: Google's PageRank algorithm This algorithm is the "heart" of the search engine and sorts documents of the world-wide-web by their "importance" in decreasing o...
2014-12-18T11:32:53
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https://www.physicsforums.com/threads/confirmation-of-cross-products.736074/
# Confirmation of cross products 1. Feb 1, 2014 I know that for the tangent unit vector $t$, normal unit vector $n$, and binormal unit vector $b$ that $b=t\times n$ and $n=b\times t$. Is it true that $t=n\times b$? **Edit** Ah! Yes it is. Nevermind. I should have known this was true. Last edited: Feb 1, 2014 2. Feb...
2018-03-18T04:26:12
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https://stacks.math.columbia.edu/tag/09YA
Lemma 69.11.2. Let $S$ be a scheme. Let $f : X \to Y$ be an integral morphism of algebraic spaces over $S$. Assume $Y$ quasi-compact and quasi-separated. Then $X$ can be written as a directed limit $X = \mathop{\mathrm{lim}}\nolimits X_ i$ where $X_ i$ are finite and of finite presentation over $Y$. Proof. Consider th...
2023-03-30T01:30:58
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https://www.research.ed.ac.uk/en/publications/a-full-characterization-of-quantum-advice
# A Full Characterization of Quantum Advice Scott Aaronson, Andrew Drucker Research output: Contribution to journalArticlepeer-review ## Abstract We prove the following surprising result: given any quantum state $\rho$ on $n$ qubits, there exists a local Hamiltonian $H$ on $\operatorname*{poly}(n)$ qubits (e.g., a ...
2022-01-27T02:47:02
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http://geekraj.com/?p=845
# On 2^n – 1 Picking up from my last blog post, where we observed 255 = 15 x 17, $$2^{n}-1 = (2^{\frac{n}{2}}+1)*(2^{\frac{n}{2}}-1)$$ $$= (2^{\frac{n}{2}}+1)*(2^{\frac{n}{4}}+1)*(2^{\frac{n}{4}}-1)$$ $$= (2^{\frac{n}{2}}+1)*(2^{\frac{n}{4}}+1)*(2^{\frac{n}{8}}+1)*(2^{\frac{n}{8}}-1)$$ If $$n=2^{k}$$, where $$k \in ...
2019-01-16T00:35:11
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http://www.ck12.org/geometry/Surface-Area-and-Volume-of-Prisms/lesson/Prisms/r16/
<meta http-equiv="refresh" content="1; url=/nojavascript/"> Surface Area and Volume of Prisms ( Read ) | Geometry | CK-12 Foundation You are viewing an older version of this Concept. Go to the latest version. # Surface Area and Volume of Prisms % Progress Practice Surface Area and Volume of Prisms Progress % Prisms ...
2014-11-27T23:43:57
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https://www.esaral.com/q/find-the-sum-of-all-two-digit-numbers-which-when-divided-by-4-98329
# Find the sum of all two digit numbers which when divided by 4, Question: Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder. Solution: The two-digit numbers which when divided by 4 yield 1 as remainder are 13, 17....97. $\therefore a=13, d=4, a_{n}=97$ $\therefore a_{n}=a+(n-1)...
2023-03-27T03:19:36
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http://math.stackexchange.com/questions/237909/understanding-a-proof-of-the-davenport-rado-mirsky-newman-theorem
# Understanding a proof of the Davenport-Rado-Mirsky-Newman theorem The statement is: Let $A=\{(a_s(n_s)\}^k_{s=1}$ be an exact cover of $\mathbb{Z}$ with $1<n_1\leq\ldots\leq n_{k-1}\leq n_k$. Then we must have $n_{k-1}=n_k$. The only proof I could find was here. But I have some difficulties understanding it. It is...
2016-05-04T14:11:04
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https://math.stackexchange.com/questions/1011118/place-three-circles-such-that-they-uniquely-intersect-at-each-point-in-the-plane
# Place three circles such that they uniquely intersect at each point in the plane Is it possible to place three circle centers in a plane such that there is a single unique three-way intersection between the three circles for any given set of circle radii? For example, see the image below: I've chosen the three loca...
2019-08-18T21:23:27
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http://psjd.icm.edu.pl/psjd/element/bwmeta1.element.bwnjournal-article-appv96z204kz
PL EN Preferences Language enabled [disable] Abstract Number of results Journal ## Acta Physica Polonica A 1999 | 96 | 2 | 213-227 Article title ### Muon Spin Rotation Studies of Doping in High-T_{c} Superconductors Authors Content Title variants Languages of publication EN Abstracts EN Muon spin rotation studies ...
2017-09-20T12:49:10
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https://iacr.org/cryptodb/data/paper.php?pubkey=32670
## CryptoDB ### Paper: A Tight Computational Indistinguishability Bound of Product Distributions Authors: Nathan Geier , Tel Aviv University Search ePrint Search Google Slides TCC 2022 Best Young Researcher Award Assume that distributions X_0,X_1 (respectively Y_0,Y_1) are d_X (respectively d_Y) indistinguishable for...
2023-03-30T23:48:38
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https://tex.stackexchange.com/questions/linked/59658
12k views ### Inline TikZ - vertical centering If I inline a bounded line segment like this: the distance \tikz{ \draw [|-|] (0,0) -- (5ex,0); } overarching the activities how can I make the line appear vertically centered on the line (... 10k views ### Text above matrices I am new to latex and I am trying to creat...
2019-12-14T22:06:54
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http://modeltheory.wikia.com/wiki/Skolem_functions
## FANDOM 78 Pages A theory $T$ is said to have Skolem functions if for every formula $\phi(x;y)$ there is a term $t(y)$ such that whenever $M \models T$, $b \in M$, and $\phi(M;b)$ is non-empty, then $t(b) \in \phi(M;b)$. By the Tarski-Vaught criterion, having Skolem functions is enough to ensure that every substru...
2019-01-21T05:58:38
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https://www.ias.ac.in/listing/bibliography/joaa/GAJENDRA_PANDEY
• GAJENDRA PANDEY Articles written in Journal of Astrophysics and Astronomy • Editorial • The horizontal branch morphology of the globular cluster NGC 1261 using AstroSat We present the results obtained from the UV photometry of the globular cluster NGC 1261 using far-UV (FUV) and near-UV (NUV) images acquired with...
2022-09-25T11:22:22
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https://math.stackexchange.com/questions/2894779/solving-the-congruence-20x-equiv-16-pmod92-and-giving-answer-as-a-congruen
# Solving the Congruence $20x \equiv 16 \pmod{92}$ and Giving Answer As a Congruence to the Smallest Possible Modulus I have the following problem: Solve the congruence $$20x \equiv 16 \pmod{92}$$. Give your answer as (i) a congruence to the smallest possible modulus; (ii) a congruence modulo $$92$$. I just recent...
2022-01-17T02:44:53
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https://stats.stackexchange.com/questions/390415/which-test-statistics-is-better-in-the-hypothesis-test-for-variance
# Which test statistics is better in the hypothesis test for variance? Most of the time, to do hypothesis tests is to follow the tedious processes given on statistics textbooks. But recently I find that there are, in general, more than several test statistics that can be used to test the same hypothesis. To give an ex...
2019-10-21T12:39:50
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https://codereview.stackexchange.com/questions/202598/extract-numerics-from-matrix-a-with-logical-matrix-b
# Extract numerics from matrix A with logical matrix B I have a matrix A containing numeric values and a matrix B containing 0/1s: A <- matrix(1:25, 5, 5) B <- matrix(c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0), 5, 5) A B 1 6 11 16 21 0 ...
2021-06-17T21:37:41
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http://math.stackexchange.com/questions/135613/is-there-a-quadruple-product-rule
# Is there a quadruple product rule? The triple product rule in multivariable calculus is widely used. Can a quadruple product rule equation be written for an equation f(x,y,z,z2)=0? - What is the triple product rule? –  Qiaochu Yuan Apr 23 '12 at 3:46 –  anon Apr 23 '12 at 3:47 If you follow the argument given in th...
2015-07-31T19:51:58
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http://mathhelpforum.com/advanced-statistics/79778-probability-distribution-function.html
# Math Help - probability distribution function 1. ## probability distribution function 2. This is a lognormal distribution with $\sigma=1$ Log-normal distribution - Wikipedia, the free encyclopedia I guess you need to just differentiate r(x) via the quotient rule to decide which is correct. 3. hi.. i tried this dif...
2014-03-09T17:34:32
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https://wealthbuildersassociated.com/adair-homes-xeibpgk/5c7206-arithmetic-mean-problems
# arithmetic mean problems GMAT Math Help » Problem-Solving Questions » Arithmetic » Descriptive Statistics » Arithmetic Mean Example Question #1 : Calculating Arithmetic Mean Salaries for employees at ABC Company: 1 employee makes $25,000 per year, 4 employees make$40,000 per year, 2 employees make $50,000 per year a...
2021-06-24T12:57:01
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https://analyzehashtags.com/if-dogs-lobnw/0c4cdc-what-is-the-symbol-of-potential-difference
Figure 3           Measuring source voltage and voltage drop in a basic electric circuit. Similarly, electrons at the negative terminal of an energy source tend to “fall” to a lower potential energy level. The law of conservation of energy requires the difference in potential energy between a unit quantity of water abo...
2021-09-20T17:55:51
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https://samacheer-kalvi.com/tamil-nadu-12th-maths-model-question-paper-4-english-medium/
Students can Download Tamil Nadu 12th Maths Model Question Paper 4 English Medium Pdf, Tamil Nadu 12th Maths Model Question Papers helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams. ## TN State Board 12th Maths Model...
2022-08-19T23:52:57
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https://homerreid.github.io/scuff-em-documentation/applications/scuff-spectrum/scuff-spectrum/
# Computing electromagnetic modes with scuff-spectrum scuff-spectrum is a tool within the scuff-em code suite for computing frequencies and field patterns of resonant modes in arbitrary material geometries. More specifically, scuff-spectrum implements Beyn's contour-integral algorithm for nonlinear eigenproblems, desc...
2018-07-17T21:26:15
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https://gmatclub.com/forum/is-a-positive-1-x-2-2x-a-is-positive-for-all-x-2-ax-97302-20.html
GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 23 Jun 2018, 20:39 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customize...
2018-06-24T03:39:39
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http://stats.stackexchange.com/questions/26284/regression-line-envelope-from-census-acs-data
# Regression line envelope from Census ACS data Context: I’m working with the Census Bureau’s American Community Survey (ACS) data which are samples (not complete enumerations) aggregated at different spatial scales. Each ACS estimate is provided with a margin of error (which is easily converted to a standard error, ...
2013-12-10T15:59:20
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https://www.ams.org.cn/article/2018/0412-1961/0412-1961-54-8-1165.shtml
Orginal Article # 过冷Co75B25合金的凝固 1 上海交通大学材料科学与工程学院金属基复合材料国家重点实验室 上海 200240 2 上海交通大学材料科学与工程学院上海市激光制造与材料改性重点实验室 上海 200240 # Solidification of Undercooled Co75B25 Alloy LI Yun12, LIU Lianjie12, LI Xinming12, LI Jinfu12 1 State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Sha...
2020-07-09T11:02:03
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https://spectre-code.org/structCce_1_1ComputeBondiIntegrand_3_01Tags_1_1LinearFactorForConjugate_3_01Tags_1_1BondiH_01_4_01_4.html
SpECTRE  v2021.11.01 Cce::ComputeBondiIntegrand< Tags::LinearFactorForConjugate< Tags::BondiH > > Struct Reference Computes the linear factor which multiplies $$\bar{H}$$ in the equation which determines the radial (y) dependence of the Bondi quantity $$H$$. More... #include <Equations.hpp> ## Public Types using pr...
2021-12-04T17:19:15
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https://cs.stackexchange.com/questions/69699/efficient-algorithm-to-find-an-vertex-that-is-not-an-articulation-vertex
# Efficient algorithm to find an vertex that is not an articulation vertex This is a question from the book The Algorithm Design Manual by Steven Skiena, Page no- 201. Articulation vertex : An articulation vertex of a graph (undirected) G is a vertex whose deletion disconnects G. Given : Graph (undirected) $G = (V,E...
2019-09-18T20:44:32
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http://mathhelpforum.com/calculus/119603-answer-check-please.html
Hi would somebody be able to check my answers to some questions I have, i'll just post one at a time as they take up a bit of room: Q: Obtain $f''(0.3)$ for each of the following functions. i) $f(x) = \arccos x$ A: $f(x) = \arccos x$ $f'(x) = -(1-x^2)^ \frac{-1}{2}$ Sub $z = 1-x^2$ $y = -z^\frac{-1}{2}$ $\frac{dy...
2013-05-25T00:02:14
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http://mathhelpforum.com/discrete-math/171245-matrix-tree-formula.html
## Matrix Tree Formula Use the Matrix-Tree Formula to compute $\tau(K_{2,n})$ for any $n \geq 1$. Can you find a combinatorial argument for your answer? This is for a Graph Theory class, and I approached the problem by first finding that the cofactors of $D(G)-A(G)= \tau(K_{2,1})=1$ and the cofactors of $D(G)-A(G)= \...
2014-07-31T00:32:43
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https://byjus.com/physics/lcr-circuit/
# LCR Circuit : Analysis Of A LCR Series Circuit In our article about the types of circuit, we discussed the two major types of circuit connection: Series and Parallel. From the article, we understood that a series circuit is one in which the current remains the same along with each element. With this context, let us...
2021-08-01T10:57:46
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http://gueu.cinziacioni.it/the-1h-nmr-spectrum-of-a-compound-with-molecular-formula-c6h12o2-is-shown-here-draw-its-structure.html
# The 1h Nmr Spectrum Of A Compound With Molecular Formula C6h12o2 Is Shown Here Draw Its Structure 2 (1H) Doublet @5 (1H) Singlet @ 1. Deduce the structure of compound R by analysing Figure 1 and Figure 2. The peak at 2. 1 His Nobel prize was based on the discovery and ability to quantitatively understand the structu...
2020-11-24T09:42:34
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https://www.physicsforums.com/threads/griffiths-page-124.214689/
# Griffiths page 124 [SOLVED] Griffiths page 124 ## Homework Statement Stop reading if you do not have Griffith's E and M book. Can someone explain why he says "But in the second case only the upper region contains a nonzero field, ... " ? I don't understand why the field is necessarily zero in the lower region? ...
2020-01-22T12:21:09
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https://www.tutorialspoint.com/cplusplus-code-to-check-review-vote-status-and-uncertainty
# C++ code to check review vote status and uncertainty Suppose we have three numbers x, y and z. On a review site there were x persons who would upvote, y persons who would downvote, and another group of z persons who would vote, but we do not know whether they would upvote or downvote. Each person can vote at most on...
2023-03-25T20:37:31
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https://zxi.mytechroad.com/blog/simulation/leetcode-999-available-captures-for-rook/
On an 8 x 8 chessboard, there is one white rook.  There also may be empty squares, white bishops, and black pawns.  These are given as characters ‘R’, ‘.’, ‘B’, and ‘p’ respectively. Uppercase characters represent white pieces, and lowercase characters represent black pieces. The rook moves as in the rules of Chess: i...
2020-08-12T12:58:26
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https://zbmath.org/?q=ci%3A1897076
## $$h$$-spaces of type $$\{2,2,1\}$$ having constant curvature.(Russian. English summary)Zbl 1208.53025 Summary: In order to find projective transformations of a pseudo-Riemannian manifold, one can use A.V. Aminova’s method of skew-orthogonal frames [J. Math. Sci., New York 113, No. 3, 367–470 (2003; Zbl 1043.53054)]...
2022-05-23T20:04:22
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https://docs.deondigital.com/latest/src/stdlibchapters/combinators.html
# General combinators¶ These are general functions, which do not pertain to any domain in particular. They are typically used in combination with other functions. ## id : a -> a¶ The identity function, which simply returns whatever input it is given. val a = id 14 // = 14 val b = id "some text" // = "some tex...
2022-05-17T10:19:23
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http://www.theinfolist.com/html/ALL/s/machine_learning.html
TheInfoList Machine learning (ML) is the study of computer algorithm In and , an algorithm () is a finite sequence of , computer-implementable instructions, typically to solve a class of problems or to perform a computation. Algorithms are always and are used as specifications for performing s, , , and other ... s th...
2022-07-07T00:59:10
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http://data.faridani.me/the-absolution-value-of-the-normal-distribution-n%CE%BC-%CF%832/
# The absolution value of the normal distribution |N(μ, σ2)| Let’s start with an interesting question. If I split a normal distribution in half and find the center for each half and then subtract the left center from the center of the right half what will I get? Surprisingly, I have run into this problem twice in my ...
2018-12-18T17:17:10
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https://plainmath.net/35645/show-how-to-approximate-the-required-work-by-a-riemann-sum-then-expre
# Show how to approximate the required work by a Riemann sum. Then expre Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. A circular swimming pool has a diameter of 24 ft, the sides are 5 ft high, and the depth of the water is 4 ft. How much work is requ...
2022-08-19T02:22:37
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https://www.visionarysports.ca/mathematics-test-no-calculator-4/
### MATHEMATICS TEST—NO CALCULATOR 4 There is no penalty for wrong answers, so it makes sense to give the best answer you can to every question, even if it is just your best guess. The time is up. Section 2 is done, you have a 5-minute break period, then you be redirected to Section 3: Mathematics Test—Calculator 2 ...
2022-08-19T05:09:02
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http://mathhelpforum.com/advanced-statistics/93242-statistics-problem.html
# Thread: Statistics Problem 1. ## Statistics Problem A car fleet of a delivery company consists of 145 cars. Data recorded during the last month shows that the mean fuel consumption of cars is 6 liters per 100 km with standard deviation 1.4 liters and exhibit Uniform Distribution. Assume this characteristic to be ...
2016-12-10T00:36:32
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https://ncatlab.org/davidcorfield/show/distinguish
# David Corfield distinguish ### Idea Importance of using maps to distinguish elements of a type. $a, b: A$, then for some $f:[A, B]$, because $\neg Id_{B}(f(a), f(b))$ is true, we know $\neg Id_A(a, b)$. Often choose a $B$ with decidable equality. We must have a map $Id_A(a, b) \to Id_{B}(f(a), f(b))$ to postcompos...
2021-12-01T23:53:15
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https://www.physicsforums.com/threads/wavelengths-of-photon.293339/
# Wavelengths of photon 1. Feb 18, 2009 ### stickplot 1. The problem statement, all variables and given/known data The wavelength of the photon emitted when a hydrogen atom undergoes a transition from the k state to the n = 1 state is around 94.8 nm. How much is k? 2. Relevant equations 1/lambda= 1.97x10^7(1/1^2-...
2017-08-20T01:16:29
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http://www.maths.kisogo.com/index.php?title=Equivalent_conditions_to_a_set_being_bounded/Statement
# Equivalent conditions to a set being bounded/Statement ## Statement Let [ilmath](X,d)[/ilmath] be a metric space and let [ilmath]A\in\mathcal{P}(X)[/ilmath] be an arbitrary subset of [ilmath]X[/ilmath]. Then the following are all logical equivalent to each other[Note 1]: 1. [ilmath]\exists C<\infty\ \forall a,b\in...
2022-12-01T20:57:22
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https://www.physicsforums.com/threads/vector-problem-involving-velocity-and-wind.185801/
Vector problem involving velocity and wind 1. Sep 20, 2007 A 100-meter dash is run on a track in the direction of $$\vec{v} = 2\vec{e_{1}}+6\vec{e_{2}}$$ . The wind velocity $$\vec{e}_{1}+\vec{e_{2}}$$ km/h. The rules say that a legal wind speed measured in teh direction of the dash must not exceed 5 km/h. Will the r...
2017-01-20T03:55:15
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https://ai.stackexchange.com/questions/5825/why-dont-elus-multiply-the-linear-portion-by-%CE%B1/6093
# Why don't ELUs multiply the linear portion by α? An exponential linear unit (as proposed by Clevert et al.) uses the function: (Sorry--would have used MathJax were it available.) ELUα(x) = α(ex - 1) (if x<0), or x (if x≥0) Now, this is continuous at x=0, which is great. It's differentiable there too if α=1, which...
2020-07-04T09:48:52
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