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https://math.stackexchange.com/questions/1405468/polynomial-equations-of-degree-larger-than-4?noredirect=1
# Polynomial equations of degree larger than 4 It is accepted that there are no general solutions for polynomial equations of degree higher than 4, unless they have some unique features. We know that if we could factor the polynomial into polynomial of degrees smaller than 5, we may find the roots for each such polyno...
2019-08-21T10:29:29
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https://socratic.org/questions/how-do-you-simplify-8div4-1-6-4-4div2-6
# How do you simplify 8div4+1(6-4)+4div2-6? Aug 3, 2016 $0$ #### Explanation: Count the number of terms first. In this case there are 4 terms. You can simplify within each term until there is a single answer for each term. Do more than one simplification in a line. This saves time and space. Addition and subtract...
2019-09-17T21:24:36
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https://businessintegrationsoftware.com/butternut-squash-vtbgs/symbolab-concave-up-down-7b88cd
## symbolab concave up down BYJU’S online inflection point calculator tool makes the calculation faster, and it displays the inflection point in a fraction of seconds. Finding intervals of increase/decrease local max/mins youtube. Solve: Looking for … Ap calculus ab-bc points of inflection (no calculator). (2 differen...
2021-04-13T22:39:46
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http://math.stackexchange.com/questions/289248/finding-the-area-between-two-curves
# Finding the Area Between Two Curves Sketch the region enclosed by the curves. Decide whether to integrate with respect to x or y. Then find the area of the region between $$x=9-{y^2}$$ and $$x={y^2}-9$$ What I have done so far is put the equations in terms of y and make them equal to each other. I got $$9-x=x+9$$ w...
2014-07-29T21:08:21
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https://icsemath.com/2017/09/16/class-10-distance-and-section-formula-sample-problems-exercise-13d/
Question 1: Calculate the distance between the points $(6, -4)$ and $(3,2)$ correct to $2$ decimal places. $(6, -4)$ and $(3, 2)$ Distance $= \sqrt{(3-6)^2+(2-(-4))^2} = \sqrt{9+36} = \sqrt{45} = 6.71$ $\\$ Question 2: Find the distance between the points $(-2, -2)$ and $(1,0)$ correct to $3$ significant figures. ...
2019-02-17T15:56:46
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http://mathoverflow.net/questions/30960/calculating-flux-over-a-chain-complex
## Calculating Flux over a chain complex Hello, I'm fairly new to graph theory (and math overflow) and I had a question that someone might be able to answer pretty easily on here (please don't assume I know a lot about graph theory just yet). I'm looking at trying to calculate the flux of a chain complex (specifically...
2013-05-24T23:35:37
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http://www.cjmenet.com.cn/CN/10.3901/JME.2015.09.159
• CN:11-2187/TH • ISSN:0577-6686 • 数字化设计与制造 • ### 基于多层编码的遗传-粒子群融合算法流水线优化控制 1. 西安科技大学电气与控制工程学院 • 出版日期:2015-05-05 发布日期:2015-05-05 ### Optimization of Flow-shop Control by Using Genetic-particle Swarm Algorithm of Multilayer-coded HOU Yuanbin, XUE Fei, ZHENG Maoquan, FAN Rong 1. College of Electrical and Control Eng...
2023-02-01T16:58:32
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https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Beginning_Algebra_(Redden)/06%3A_Factoring_and_Solving_by_Factoring/6.0E%3A_6.E%3A_Review_Exercises_and_Sample_Exam
# 6.E: Review Exercises and Sample Exam ## Review Exercises Exercise $$\PageIndex{1}$$ Introduction to Factoring Determine the missing factor. 1. $$12x^{3}−24x^{2}+4x=4x( ? )$$ 2. $$10y^{4}−35y^{3}−5y^{2}=5y^{2}( ? )$$ 3. $$−18a^{5}+9a^{4}−27a^{3}=−9a^{3}( ? )$$ 4. $$−21x^{2}y+7xy^{2}−49xy=−7xy( ? )$$ 1. $$(3x^{...
2020-01-18T07:13:36
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http://www.researchgate.net/publication/215802580_DISCOVERY_OF_VERY_HIGH_ENERGY_gamma-RAYS_FROM_THE_BLAZAR_S5_0716714
Article # DISCOVERY OF VERY HIGH ENERGY gamma-RAYS FROM THE BLAZAR S5 0716+714 [more] (Impact Factor: 6.28). 10/2009; 704:L129-L133. DOI: 10.1088/0004-637X/704/2/L129 0 Followers · 99 Views • Source ##### Article: Observations of low- and intermediate-frequency-peaked BL Lacs above 100 GeV with VERITAS [Hide abstract...
2015-04-27T10:46:09
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https://exploringnumbertheory.wordpress.com/2013/07/page/2/
# Fermat’s Little Theorem and Mental Poker In this post we demonstrate another use of the Fermat’s Little Theorem. How can two people play poker when they are not sitting face to face from each other? If the game of poker is played over long distance (e.g. via a telephone line or some electronic communication channel...
2019-07-17T01:29:38
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https://homework.cpm.org/category/CC/textbook/cca/chapter/2/lesson/2.1.4/problem/2-45
### Home > CCA > Chapter 2 > Lesson 2.1.4 > Problem2-45 2-45. Evaluate the expressions below for the given values. Homework Help ✎ 1. x2 + 3x for x = −3 2. 5 − (x − 2)2 for x = −1 3. $\frac { - 5 } { k + 1 }$ for k = −1 4. $| \frac { x } { x + y } |$x2 + y for x = 2, y = −3 • Substitute the given value for the v...
2019-08-25T18:35:32
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https://ai.stackexchange.com/questions/27107/in-a-convolutional-neural-network-how-is-the-error-delta-propagated-between-con
# In a convolutional neural network, how is the error delta propagated between convolutional layers? I'm coding some stuff for CNNs, just relying on numpy (and scipy just for the convolution operation for pure performance reasons). I've coded a small network consisting of a convolutional layer with several feature ma...
2021-06-23T01:18:40
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https://ergodicity.net/2009/11/
Lazy random walks on the torus via Dirichlet forms One of the simple example graphs I’ve used in some of my research on gossip algorithms has been the 2-dimensional torus with $n$ vertices, which looks like a $\sqrt{n} \times \sqrt{n}$ grid with the top and left edges wrapped around to connect with the bottom and righ...
2021-10-27T07:01:26
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https://aptitude.gateoverflow.in/8805/Cat-2001-question-50
# CAT 2001 | Question: 50 25 views Answer the following questions based on the information given below. The petrol consumption rate of a new model car 'Palto' depends on its speed and may be described by the graph below. Manasa would like to minimize the fuel consumption for the trip by driving at the appropriate s...
2022-05-20T05:04:55
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https://stat.ethz.ch/R-manual/R-patched/library/stats/html/Exponential.html
Exponential {stats} R Documentation ## The Exponential Distribution ### Description Density, distribution function, quantile function and random generation for the exponential distribution with rate rate (i.e., mean 1/rate). ### Usage dexp(x, rate = 1, log = FALSE) pexp(q, rate = 1, lower.tail = TRUE, log.p = FALS...
2022-08-09T13:03:20
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http://cms.math.ca/cmb/msc/52A15?fromjnl=cmb&jnl=CMB
Search: MSC category 52A15 ( Convex sets in $3$ dimensions (including convex surfaces) [See also 53A05, 53C45] ) Shaken Rogers's Theorem for Homothetic Sections We shall prove the following shaken Rogers's theorem for homothetic sections: Let $K$ and $L$ be strictly convex bodies and suppose that for every plane $H$ t...
2015-05-25T05:38:01
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http://math.stackexchange.com/questions/222596/finding-the-conditional-mean-and-conditional-variance
# Finding the conditional mean and conditional variance $$f_{X,Y}(x,y) = \begin{cases} \frac12 & \text{if |x|+|y| < 1} \\ 0 & \text{otherwise} \\ \end{cases}$$ Find the conditional mean and the conditional variance of Y given X=x. So far, I did: \begin{align} f_X(x) & = \int_{|x|-1}^{1-|x|} \frac12 dy \\ & = \frac1...
2014-07-28T20:31:09
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https://math.stackexchange.com/questions/3327986/isomorphism-that-is-not-a-bijection-in-underlying-sets/3328012
# Isomorphism that is not a bijection in underlying sets? The question is pretty much the same as >here<. This wikipedia article claims that in "Homotopy category of CW complexes" there is an isomorphism which is not bijective in the underlying sets, while this category should admit underlying set (e.g. faithful funct...
2020-01-28T13:31:30
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https://socratic.org/questions/what-is-the-solution-for-integrate-1-9-12-x-4-x-2#429405
# What is the solution for : integrate ( 1/(9-12*x+4*x^2)) ? May 25, 2017 $- \frac{1}{4 x + 6} + C$ #### Explanation: Let's write the question formatted: $\int \frac{1}{9 - 12 x + 4 {x}^{2}} \mathrm{dx}$ First off, we can simplify the denominator $\frac{1}{9 - 12 x + 4 {x}^{2}} = \frac{1}{2 x + 3} ^ 2$ First, w...
2022-08-16T19:39:45
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https://physics.stackexchange.com/questions/468897/net-force-acting-on-a-box-in-this-diagram
# Net force acting on a box in this diagram The 27-kg slider block is moving to the left with a speed of 5 m/s when it is acted upon by the forces $$F_1$$ and $$F_2$$. Neglect friction and the mass of the pulleys and cords. The net force acting on the object by the ropes should be $$4F_1 - 1F_2$$ according to the sol...
2020-01-21T08:31:59
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https://scipost.org/submissions/1810.12828v1/
Neutrinoless Double Beta Decay Overview Submission summary As Contributors: Laura Cardani Arxiv Link: https://arxiv.org/abs/1810.12828v1 Date submitted: 2018-10-31 Submitted by: Cardani, Laura Submitted to: SciPost Physics Proceedings Proceedings issue: The 15th International Workshop on Tau Lepton Physics (Amsterda...
2019-03-21T12:08:51
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https://mirror.uned.ac.cr/cran/web/packages/cdfquantreg/vignettes/CDFQuantregIntroduction.html
# cdfquantreg: An Introduction The most popular two-parameter distribution for modeling random variables on the (0, 1) interval is the beta distribution (e.g., Ferrari and Cribari-Neto, 2004; Smithson and Verkuilen, 2006). Less commonly used are the Kumaraswamy (1980), Lambda, and Logit-Logistic distributions. The cdf...
2021-07-26T22:42:39
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https://mathematica.stackexchange.com/questions/20877/unique-in-rhs-of-rule
# Unique[] in RHS of rule I have a function, explicit that takes dot product of two symbols, and replaces it with repeated dummy indices generated by Unique[]. explicit[expr_] := expr //. {Dot[a_, b_] :> (Subscript[a, #] Subscript[b, #]) &[ Unique[]]}; So that if my input is v.w, then the output is $v_{$3}w_{$3}$ wh...
2019-11-14T12:26:47
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https://math.stackexchange.com/questions/484350/how-to-compute-bochner-laplacian-delta-nabla-nabla-sum-nabla-e-i
# How to compute Bochner laplacian $\Delta=\nabla^*\nabla=\sum \nabla_{e_i}$? I'm struggling with proving that Bochner laplacian can be described by the following formula similar to the standard laplacian formula from calculus: $$\Delta = \sum_i \nabla_i^2,$$ where $\nabla_i = \nabla_{e_i}$ for some local orthonormal ...
2019-08-24T18:33:48
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http://www.funpecrp.com.br/parliament-constituencies-vmgpy/5519d8-perchlorate-ion-lewis-structure
. Hence it is very important to learn how to draw Lewis Dot structure correctly for an atom, ion, molecule, polyatomic ion and an ionic compound. So, like oxygen it is also very happy with zero formal charge on it. Formal charge is the charge assigned to an atom in a molecule  or ion on the basis of the difference in v...
2021-05-14T04:25:49
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https://probabilityexam.wordpress.com/2013/05/01/exam-p-practice-problem-71-estimating-claim-frequency/
# Exam P Practice Problem 71 – Estimating Claim Frequency Problem 71-A An auto insurer issued policies to a large group of drivers under the age of 40. These drivers are classified into five distinct groups by age. These groups are equal in size. The annual claim count distribution for any driver being insured by th...
2019-08-18T05:33:38
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http://mathhelpforum.com/algebra/33899-help-needed.html
1. Help needed Can anyone tell me easiest way to solve questions like 1) Area b/w graphs->f(x)=||x|-2|+||x|-4|;g(x)=|x|+||x|-6| 2)No of values satisfying the inequation-->|x|+|x-1|+|x+3|<6 3)Equations in more than one variable like--> no of values satisfying the equation |x+1|+|y+1|<4 Explain the method as well Chee...
2016-10-21T20:34:35
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http://kth.diva-portal.org/smash/record.jsf?pid=diva2%3A458563&amp;c=30&amp;searchType=SIMPLE&amp;language=en&amp;query=&amp;af=%5B%5D&amp;aq=%5B%5B%7B%22organisationId%22%3A%226115%22%7D%5D%5D&amp;aq2=%5B%5B%5D%5D&amp;aqe=%5B%5D&amp;noOfRows=50&amp;sortOrder=author_sort_asc&amp;sortOrder2=title_sort_asc&amp;onlyFullTe...
Change search CiteExportLink to record Permanent link Direct link Cite Citation style • apa • harvard1 • ieee • modern-language-association-8th-edition • vancouver • Other style More styles Language • de-DE • en-GB • en-US • fi-FI • nn-NO • nn-NB • sv-SE • Other locale More languages Output format • html • text • asci...
2019-08-25T14:57:01
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https://par.nsf.gov/biblio/10207151-unveiling-apparent-negative-capacitance-effects-resulting-from-pulse-measurements-ferroelectric-dielectric-bilayer-capacitors
Unveiling the Apparent “Negative Capacitance” Effects Resulting from Pulse Measurements of Ferroelectric-Dielectric Bilayer Capacitors Apparent ‘Negative Capacitance’ (NC) effects have been observed in some ferroelectric-dielectric (FE-DE) bilayers by pulse measurements, and the associated results have been published t...
2022-12-01T14:47:36
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http://physics.stackexchange.com/questions/93336/how-much-does-lighting-of-room-effect-evaporation
# How much does lighting of room effect evaporation? Suppose there is a wet floor under normal conditions, how much can we alter the rate of evaporation of the wet floor by trying out different types of lights ex. Incandascnet, cfl, fluorescent etc ? I assume that these lighting solutions produce all types of EM waves...
2015-12-01T18:42:28
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http://mathoverflow.net/questions/109649/equality-of-rational-maps
# Equality of rational maps Hi. Let $f,g:X\dashrightarrow\mathbb{P}^N$ be two rational maps from a complex smooth irreducible projective variety $X$ to a projective space. Suppose that for every general point $x\in X$ we have $\overline{f^{-1}(f(x))}=\overline{g^{-1}(g(x))}$. Is true that $\overline{f(X)}$ and $\ov...
2015-11-25T20:31:46
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https://repo.scoap3.org/record/30549
# Bounded Collection of Feynman Integral Calabi-Yau Geometries Bourjaily, Jacob L. (Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark) ; McLeod, Andrew J. (Niels Bohr International Academy and Discovery Center, Niels Bo...
2019-02-21T17:30:21
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https://www.nature.com/articles/s41598-019-50323-9?error=cookies_not_supported&code=9b01e6d8-5e3e-488f-96fa-cec8229031ac
Rarity of monodominance in hyperdiverse Amazonian forests Abstract Tropical forests are known for their high diversity. Yet, forest patches do occur in the tropics where a single tree species is dominant. Such “monodominant” forests are known from all of the main tropical regions. For Amazonia, we sampled the occurre...
2020-06-01T14:27:56
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https://brilliant.org/problems/its-seca/
# Its SecA Geometry Level 3 Find the number of real roots of the quadratic equation $$8\sec^2 A-6\sec A +1=0$$. ×
2018-03-24T20:02:14
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http://math.stackexchange.com/questions/123709/why-is-mathbbh-otimes-mathbbh-cong-textend-mathbbr-mathbbh
# Why is $\mathbb{H}\otimes\mathbb{H}\cong\text{End}_\mathbb{R}\mathbb{H}$? When I first learned of the quaternion algebra $\mathbb{H}$, the most concrete way to get a grip on the ring of its endomorphisms $\operatorname{End}_\mathbb{R}(\mathbb{H})$ was to view them as $4\times 4$ matrices with real entries. It was m...
2015-11-25T04:21:14
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https://zenodo.org/record/3971729/export/csl
Conference paper Open Access # A Low-Complexity Dual Trellis Decoding Algorithm for High-Rate Convolutional Codes Son Le, V.; Abdel Nour, C.; Douillard, C.; Boutillon, E. ### Citation Style Language JSON Export { "publisher": "Zenodo", "DOI": "10.5281/zenodo.3971729", "language": "eng", "title": "A Low-Complexity D...
2021-01-15T20:32:39
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http://www.kjg65qj.cn/pvcdrom/battery-basics/standard-potential
# Standard Potential The overall energy of the outer electrons for a material depends on the temperature of the systems and also, for a material that is not a pure solid, also depends on the concentration of the reacting species. Thus, in measuring the electrochemical potentials, both the temperature and the concentra...
2020-08-13T17:31:03
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https://math.stackexchange.com/questions/3959206/ito-isometry-proof
# Ito isometry proof I have been reading Steven Shreve's Stochastic Calculus for Finance II. This question is from Chapter 4 Stochastic Calculus Page 129. This is theorem 4.2.2 (Proof of Ito isometry). This theorem is about proving the following: $$\mathbb E I^2(t)=\mathbb E\int_0^t \Delta^2(u)du$$ Here $$\Delta(t)...
2022-09-27T20:50:03
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http://www.encyclopediaofmath.org/index.php/Bijection
# Bijection $\def\Id {\mathop{\rm Id}}$ A function (or mapping) is called bijective if it is both one-to-one and onto, i.e., if it is both injective and surjective. In other words, a function $f : A \to B$ from a set $A$ to a set $B$ is a bijective function or a bijection if and only if $f(A) = B$ and $a_1 \ne a_...
2014-08-22T13:44:34
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https://math.stackexchange.com/questions/963164/verify-the-following-combinatorial-identity-sum-k-0r-binommk-binom
# Verify the following combinatorial identity: $\sum_{k=0}^{r} \binom{m}{k}\binom{n}{r-k} = \binom{m+n}{r}$ [duplicate] $$\sum_{k=0}^{r} \binom{m}{k}\binom{n}{r-k} = \binom{m+n}{r}$$ Nice, so I've proven some combinatorial identities before via induction, other more simple ones by committee selection models.... But t...
2019-10-16T09:17:29
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https://www.dsprelated.com/blogs-1/nf/all/Matlab.php
## Modeling Anti-Alias Filters September 26, 2021 Digitizing a signal using an Analog to Digital Converter (ADC) usually requires an anti-alias filter, as shown in Figure 1a.  In this post, we’ll develop models of lowpass Butterworth and Chebyshev anti-alias filters, and compute the time domain and frequency domain o...
2021-10-17T00:34:45
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https://communities.sas.com/t5/SAS-Procedures/Manual-Iterative-solution-of-survey-weighting/td-p/196049?nobounce
## Manual Iterative solution of survey weighting Regular Contributor Posts: 228 # Manual Iterative solution of survey weighting Dear all, hope you are doing well. I wish to generate survey weights by 'Manual Iterative Solution' as stated here Introduction to Survey Weights &mdash; PRI Help or below Example with t...
2017-11-21T08:13:16
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https://www.physicsforums.com/threads/cancelling-the-signs.734158/
# Cancelling the signs 1. Jan 22, 2014 1. The problem statement, all variables and given/known data This is the simplest problem you would ever get. $\frac{-fu}{s-f}=\frac{fu}{-s+f}$ This is true. So the signs can be cancelled.What are the rules for doing that? I guess I was not listening to the teacher when I first ...
2017-10-24T03:16:12
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http://mymathforum.com/number-theory/342822-diophantine-hyperbola.html
My Math Forum Diophantine hyperbola Number Theory Number Theory Math Forum November 15th, 2017, 01:55 PM #1 Newbie   Joined: Nov 2017 From: Mexico Posts: 1 Thanks: 0 Diophantine hyperbola I am given an integer c an and we know the sum of consecutives integers can reach this number. I reach this expression \begin{al...
2018-11-15T12:26:16
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https://stats.stackexchange.com/questions/520380/cumulative-distribution-function-of-s-n-t-where-s-n-t-is-the-time-of
# Cumulative Distribution Function of $S_{N_{t}}$ where $S_{N_{t}}$ is the time of the last arrival in $[0, t]$ I am confused on this problem. My professor gave this as the solution: $$S_{N_{T}}$$ is the time of the last arrival in $$[0, t]$$. For $$0 < x \leq t, P(S_{N_{T}} \leq x) \sum_{k=0}^{\infty} P(S_{N_{T}} \l...
2021-08-04T08:39:39
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http://mathhelpforum.com/advanced-algebra/81019-determinant.html
# Math Help - Determinant 1. ## Determinant $|A| = \begin{vmatrix} 1 & 2&3&\dots&n-1&n\\-1 & 0&3&\dots & n-1&n\\-1&-2&0&\dots &n-1 &n\\ \vdots&&&&&\\ -1& -2& -3&\dots & -(n-1) & 0 \end{vmatrix}$ Show that $|A|=n!$. 2. Originally Posted by james_bond $|A| = \begin{vmatrix} 1 & 2&3&\dots&n-1&n\\-1 & 0&3&\dots & n-1&n...
2015-03-05T01:13:16
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https://msp.org/pjm/2015/273-1/p03.xhtml
#### Vol. 273, No. 1, 2015 Recent Issues Vol. 299: 1  2 Vol. 298: 1  2 Vol. 297: 1  2 Vol. 296: 1  2 Vol. 295: 1  2 Vol. 294: 1  2 Vol. 293: 1  2 Vol. 292: 1  2 Online Archive Volume: Issue: The Journal Subscriptions Editorial Board Officers Special Issues Submission Guidelines Submission Form Contacts Author Index ...
2019-06-24T18:21:30
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https://codegolf.stackexchange.com/questions/128450/index-of-the-row-with-most-non-zero-elements
# Index of the row with most non-zero elements This is a simple one: Take a matrix of integers as input, and output the index of the row with the most non-zero elements. You may assume that there will only be one row with the most non-zero elements. ### Test cases: These are 1-indexed, you may choose if you want 0 o...
2021-12-01T13:33:39
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https://ask.sagemath.org/question/60597/weyl-character-formula-in-sagemath/
# Weyl character formula in Sagemath I am trying to program Weyl character formula in Sage as follows: A2 = WeylCharacterRing("A2") a2 = WeightRing(A2) L = A2.space() W = L.weyl_group() Lambda = L.simple_roots()[1]+L.simple_roots()[2] rho = L.rho().coerce_to_sl() r1 = sum((-1)^(w.length())*a2(w.action(Lambda+rho)) fo...
2022-01-20T08:16:05
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https://zbmath.org/?q=an%3A1316.11038
## Period(d)ness of $$L$$-values.(English)Zbl 1316.11038 Borwein, Jonathan M. (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. New York, NY: Springer (ISBN 978-1-4614-6641-3...
2022-05-20T22:41:36
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http://bootmath.com/higher-homology-group-of-eilenberg-maclane-space-is-trivial.html
# Higher homology group of Eilenberg-Maclane space is trivial I’m trying to solve the following exercise from Algebraic Topology by Hatcher (self-study): Show that $H_{n+1}(K(G,n);\mathbb{Z}) = 0$ if $n > 1$. $K(G,n)$ is the Eilenberg-Maclane space. I’m following a hint suggesting starting with a Moore space $M(G,n...
2018-07-20T04:36:55
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http://mathhelpforum.com/trigonometry/151899-equation-quadratic-curve-three-dimensional-space.html
# Math Help - Equation for a quadratic curve in a three-dimensional space? 1. ## Equation for a quadratic curve in a three-dimensional space? I'm not really sure if this is the right area BUT I did similar things such as this in trig so I thought this might be a good place to ask. I'm working within a three dimensio...
2015-04-25T04:48:10
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https://math.stackexchange.com/questions/2506388/how-to-build-the-equation-for-this-question
# How to build the equation for this question? In a class, there are $20$ people. In this class, there are $4$ people who know only english, $9$ who don't know french, $7$ who don't know english. Then, how many people who know both language are there? Here is my venn diagram enter image description here $$r(1) = \t...
2019-08-20T03:09:28
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https://mathematica.stackexchange.com/questions/22094/modular-arithmetic-efficiently-calculating-the-remainders-of-factorials
# Modular arithmetic - efficiently calculating the remainders of factorials When working on this question regarding the divisibility of the sum of factorials, I decided to write some code to test "small values" of the problem using the following code. f[p_] := Total[Mod[#!, p] & /@ Range[p - 1]]; Table[Mod[f@Prime@i,...
2019-08-24T12:43:09
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https://physics.stackexchange.com/questions/483296/can-a-syringe-be-used-as-a-hanging-scale-if-needed
# Can a syringe be used as a hanging scale if needed? FYI: This is not a homework q; I am just curious... You can assume that... • the syringe tip cap creates a "perfect" seal, i.e., keeps air from flowing in/out! • the syringe is completely depressed before starting the experiment. • the outside barrel has metric ru...
2020-06-02T05:09:05
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https://solvedlib.com/n/9-6-pts-each-solve-the-differential-equation-a-y-x27-cos,15795956
# 9.(6 pts each) Solve the differential equation: a) y'cos* = ysin x +sin 2x, -T/2 <x<r/2b) (Inx-2)y'+ly=-6x; X>01o) ~y =0d) ###### Question: 9.(6 pts each) Solve the differential equation: a) y'cos* = ysin x +sin 2x, -T/2 <x<r/2 b) (Inx-2)y'+ly=-6x; X>0 1o) ~y =0 d) 3x"y"+6xy'+y = 0 #### Similar Solved Questions #...
2023-03-24T21:49:30
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https://physics.stackexchange.com/questions/172736/firewall-solution-for-black-hole-paradox-and-creation-of-black-event-horizon
# Firewall solution for black hole paradox and creation of black event horizon AMPS paper [1] proved that black hole complementarity explanation of blackhole paradox requires there is a "firewall": high-energy wall which destroys everything entering event horizon. However, I'm confused how "firewall" explains the fol...
2019-12-14T08:09:46
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https://rdrr.io/cran/effectsize/f/vignettes/standardized_differences.Rmd
# Standardized Differences" In effectsize: Indices of Effect Size library(knitr) options(knitr.kable.NA = "") knitr::opts_chunk$set(comment = ">") options(digits = 3) set.seed(7) This vignette provides a review of effect sizes for comparisons of groups, which are typically achieved with the t.test() and wilcox.test()...
2023-02-06T13:12:37
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.ncatlab.org/nlab/show/Dennis+Sullivan
# nLab Dennis Sullivan Dennis Sullivan is an American topologist. His initial work was in geometric topology, but later he developed theories of localisation of homotopy types, rational homotopy theory, and aspects of string topology. The editor (Andrew Ranicki) of the redistribution of his 1970 notes wrote: The not...
2019-08-25T03:30:56
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https://stats.stackexchange.com/questions/192144/is-there-an-effect-size-for-a-single-proportion/192156
# Is there an effect size for a single proportion? I want to conduct a meta analysis of the incidence rate of the complications of a specific disease. Studies report these complications as 4 patients died or 2% died. And there are no comparable group.Is it possible to have an effect size for single proportions.Any sug...
2019-11-11T21:57:53
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https://www.physicsforums.com/threads/another-centripetal-force-problem.757289/
# Another centripetal force problem 1. Jun 9, 2014 ### BrainMan A stuntman swings from the end of a 4 m long rope along the arc of a circle. If his mass is 70 kg, find the tension in the rope required to make him follow his circular path at (a) the beginning of his motion, assuming he starts when the rope is horizon...
2017-10-23T08:24:14
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https://www.studyxapp.com/homework-help/problem-4-10-points-consider-the-following-ivp-leftbeginarrayl-yprime-prime2-t-q1636445466078257154
# Question Problem 4. (10 POINTS) Consider the following IVP: $\left\{\begin{array}{l} y^{\prime \prime}-2 t y^{\prime}+8 y=0 \\ y(0)=4, y^{\prime}(0)=0 \end{array}\right.$ (a) ( 1 point) Is $$t_{0}=0$$ an ordinary point, a regular singular point, or an irregular singular point of the ODE? Justify your answer. (b) (8 p...
2023-03-22T21:42:57
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http://jslefche.github.io/piecewiseSEM/reference/rsquared.html
Returns (pseudo)-R^2 values for all linear, generalized linear, and generalized linear mixed effects models. rsquared(modelList, method = NULL) ## Arguments modelList a regression, or a list of structural equations. The method used to compute the R2 value (See Details) ## Value Returns a data.frame with the respon...
2020-07-14T01:55:37
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https://www.nature.com/articles/s41598-017-03949-6?error=cookies_not_supported&code=8021f6db-6f72-4ff0-a091-a83a40dba4ca
# Identification of transcripts with short stuORFs as targets for DENR•MCTS1-dependent translation in human cells ## Abstract The non-canonical initiation factors DENR and MCTS1 have been linked to cancer and autism. We recently showed in Drosophila that DENR and MCTS1 regulate translation re-initiation on transcript...
2019-08-22T00:25:50
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https://www.physicsforums.com/threads/convex-lens-and-focal-length.439171/
# Convex lens and focal length 1)Why when a convex lens having radius of curvature R, focal length f and refractive index μ is bisected horizontally along the principal axis its focal length remains the same, whereas when it is bisected vertically focal length becomes 2f? Does the same thing happens in the case of ...
2021-07-30T18:27:04
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http://airlich.de/category/programming/
# Cell of Life, a little game in the fashion of Conway’s Game of Life Cell of Life is a game similar to Conway’s Game of Life. I wrote it in C (that’s right, no sharp, no plusplus, good old plain C programming language). This was an assignment for the Systems Biology Doctoral Training Centre at Oxford. You can read th...
2019-08-17T10:33:01
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https://www.sylwiatomczuk.pl/soap/en/equation-for-the-preparation-of-soap-from-stearic-acid-and-naoh.html
Email Us # equation for the preparation of soap from stearic acid and naoh (PDF) Preparation and characterization of …- equation for the preparation of soap from stearic acid and naoh ,2003-1-1 · Preparation of aluminum stearate by the precipitation method was examined under various conditions of stearic acid saponif...
2022-12-09T16:39:31
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https://bitbucket.org/slepc/slepc
SLEPc: Scalable Library for Eigenvalue Problem Computations Authors: Jose E. Roman Carmen Campos Eloy Romero Andres Tomas Universitat Politecnica de Valencia, Spain http://slepc.upv.es slepc-maint@upv.es Overview SLEPc, the Scalable Library for Eigenvalue Problem Computations, is a software package for the solution ...
2018-05-23T01:45:51
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https://zbmath.org/?q=an:0679.45003
# zbMATH — the first resource for mathematics Integrable solutions of a functional-integral equation. (English) Zbl 0679.45003 Under certain assumptions on the functions f,g,k the authors prove that the functional-integral equation $x(t)=g(t)+f(t,\int^{1}_{0}k(t,s)x(\phi (s))ds),$ $$t\in [0,1)$$ has at least one solut...
2022-01-21T07:28:33
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http://fmc.we-brilliant.com/79ojso/optimal-stopping-theory-98944a
} {\displaystyle \sigma } {\displaystyle y_{n}=(X_{n}-nk)} R ¯ − {\displaystyle m} In the first part of the lecture we wrap up the previous discussion of implied default probabilities, showing how to calculate them quickly by using the same duality trick we used to compute forward interest rates, and showing how to int...
2021-10-16T02:46:48
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https://download.csdn.net/download/sophia7718/5036958
visual cryptography Visual Cryptography Schemes proposed by Naor and Shamir. that the underlying algebraic structure is a semi-group rat her than a group. In particular, the visual effect of a black subpixel in one of the transparencies cannot be undone by the colour of that subpixel in other transparencies which are ...
2020-05-27T16:28:59
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http://mathhelpforum.com/advanced-algebra/135431-hartshorne-question.html
# Math Help - Hartshorne Question 1. ## Hartshorne Question The functor $X \rightarrow A(X)$ induces an arrow-reversing equivalence of categories between the category of affine varieties over $k$ and the category of finitely generated integral domains over $k$. My textbook (Hartshorne) says that this is a corollary ...
2014-07-30T19:28:18
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https://talkstats.com/threads/prediction-from-predicted-residual-values-compare-to-standard-error-of-the-estimate.67054/#post-194372
# Prediction from predicted/residual values compare to standard error of the estimate #### yumi ##### New Member Hello. I have to indicate how good prediction is, by looking at the actual, predicted, and residual values, compare to the standard error of the estimate. I understand that the smaller standard error of ...
2022-08-15T15:10:02
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https://www.cell.com/biophysj/fulltext/S0006-3495%2809%2906099-8
Article| Volume 98, ISSUE 7, P1099-1108, April 07, 2010 Ok # Switching and Growth for Microbial Populations in Catastrophic Responsive Environments Open Archive ## Abstract Phase variation, or stochastic switching between alternative states of gene expression, is common among microbes, and may be important in copi...
2023-02-02T08:43:56
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https://arbital.greaterwrong.com/p/even_signed_permutations_form_a_group?l=4hg
# The collection of even-signed permutations is a group The collection of elements of the symmetric group $$S_n$$ which are made by multiplying together an even number of permutations forms a subgroup of $$S_n$$. This proves that the alternating group $$A_n$$ is well-defined, if it is given as “the subgroup of $$S_n$...
2023-02-09T09:19:02
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https://www.scienceforums.net/topic/122645-help-me-solve-the-differential-equation/?tab=comments
# Help me solve the differential equation ## Recommended Posts Is it possible to find an analytical solution to the following differential equation Thank you in advance to those who will respond ##### Share on other sites This could be a start. If I have read you correctly, then I have separated the variables for...
2021-05-11T01:39:02
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https://discourse.julialang.org/t/lapack-error-from-quadgk-integration/52533
# LAPACK error from quadgk integration I’m trying to integrate the following formula. It computes an electric potential at a point from a circular ring of charge. \phi=\int_0^{2\pi} \frac{1}{\sqrt{(x-cos(t))^2+(y-sin(t))^2+z^2)}}dt I’ve implemented the function itself like so. function unknotintegralfunction(a,b,c,t)...
2022-05-26T11:01:32
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http://mathhelpforum.com/differential-geometry/158148-differential-geometry.html
# Math Help - differential geometry 1. ## differential geometry How to show the normal spherical image x is never constant? 2. I assume your curve is parametrized by arc-lenght? If so: Suppose the unit normal vector N was constant. This normal vector is always perpendicular to the tangent vector T, so the vector T ...
2015-08-05T04:45:25
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https://terrytao.wordpress.com/tag/cohomology/
You are currently browsing the tag archive for the ‘cohomology’ tag. The von Neumann ergodic theorem (the Hilbert space version of the mean ergodic theorem) asserts that if ${U: H \rightarrow H}$ is a unitary operator on a Hilbert space ${H}$, and ${v \in H}$ is a vector in that Hilbert space, then one has $\displays...
2015-05-26T15:42:04
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https://math.stackexchange.com/questions/1693589/are-derivatives-of-geometric-progressions-all-irreducible
# Are derivatives of geometric progressions all irreducible? Consider the polynomials $P_n(x)=1+2x+3x^2+\dots+nx^{n-1}$. Problem A5 in 2014 Putnam competition was to prove that these polynomials are pairwise relatively prime. In the solution sheet there is the following remark: It seems likely that the individual pol...
2022-10-07T03:39:15
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http://heattransfer.asmedigitalcollection.asme.org/article.aspx?articleid=1449087
0 Research Papers: Micro/Nanoscale Heat Transfer # Latent Heat Fluxes Through Soft Materials With Microtruss Architectures [+] Author and Article Information Matthew J. Traum Institute for Soldier Nanotechnologies, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139; Department of Mec...
2018-09-18T14:30:15
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https://questions.examside.com/past-years/gate/gate-ce/geotechnical-engineering/definitions-and-properties-of-soils
GATE CE Geotechnical Engineering Definitions and Properties of Soils Previous Years Questions ## Marks 1 If the water content of a fully saturated soil mass is 100%, the void ratio of the sample is A certain soil has the following properties: Gs = 2.71, n = 40% and w = 20%. The degree of saturation of the soil (round...
2023-03-24T05:13:34
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https://tantalum.academickids.com/encyclopedia/index.php/Endomorphism
# Endomorphism In mathematics, an endomorphism is a morphism (or homomorphism) from a mathematical object to itself. So, for example, an endomorphism of a vector space V is a linear map f : VV and an endomorphism of a group G is a group homomorphism f : GG, etc. In general, we can talk about endomorphisms in any categ...
2021-05-07T01:39:36
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https://proofindex.com/resources-for-undergrads/elementary-number-theory/modular-arithmetic/basic-modular-arithmetic-proofs
# Basic modular arithmetic proofs Prove that congruence modulo $$m$$ is reflexive: $$a \equiv a \pmod{m}$$ Prove that congruence modulo $$m$$ is symmetric: $$a \equiv b \pmod{m} \longrightarrow b \equiv a \pmod{m}$$ Prove that congruence modulo $$m$$ is transitive: $$a \equiv b \pmod{m} \wedge b \equiv c \pmod{m}...
2022-05-21T15:58:53
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https://www.jobilize.com/online/course/15-1-some-random-selection-problems-by-openstax?qcr=www.quizover.com&page=1
# 15.1 Some random selection problems  (Page 2/6) Page 2 / 6 ## Message routing A junction point in a network has two incoming lines and two outgoing lines. The number of incoming messages N 1 on line one in one hour is Poisson (50); on line 2 the number is ${N}_{2}\sim$ Poisson (45). On incoming line 1 the message...
2020-09-20T14:11:32
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https://www.mysciencework.com/publication/show/3492c98260407c8d53e2b2c643e827a9
# Characterizing Lenses and Lensed Stars of High-Magnification Gravitational Microlensing Events With Lenses Passing Over Source Stars Authors Publication Date Keywords • Astrophysics - Solar And Stellar Astrophysics ## Abstract We present the analysis of the light curves of 9 high-magnification gravitational microl...
2017-02-25T07:16:57
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https://economics.stackexchange.com/tags/input-output/hot
# Tag Info 5 National Statistical Institutes do still compile IO tables (see http://ec.europa.eu/eurostat/web/esa-supply-use-input-tables for EU versions, although these are 5-yearly as well). They're generally more interested in producing the Supply and Use tables (which are then transformed into input-output tables...
2022-01-27T09:39:49
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http://mathhelpforum.com/statistics/184423-probability-question-print.html
# Probability question :) • Jul 11th 2011, 02:24 PM somster100 Probability question :) Just a question which i would like someone to confirm for me for #a. i got 1/8 and #b. is larger (but i have no explination) hopefully someone can kindly help me out :) <3 4) Your new neighbour moved in recently. The family consis...
2017-11-18T02:56:32
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http://math.stackexchange.com/questions/84426/ramanujans-tau-function-an-arithmetic-property
# Ramanujan's Tau function, an arithmetic property The problem: Let $\tau(n)$ denote the Ramanujan $\tau$-function and $\sigma(n)$ be the sum of the positive divisors of $n$. Show that $$(1-n)\tau(n) = 24\sum_{j=1}^{n-1} \sigma(j)\tau(n-j).$$ I'm afraid I don't even know how to start on this one.. My main problem is...
2014-08-31T07:04:13
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https://chemistry.stackexchange.com/questions/6877/most-economical-method-to-convert-potassium-oxide-to-potassium-nitride
# Most economical method to convert potassium oxide to potassium nitride. I have a compound potassium oxide($\ce{K2O}$) and I am trying to convert it into potassium nitride ($\ce{K3N}$). Here are a few possible reaction methods : • Split potassium oxide into the constituent elements potassium and oxygen (Not very goo...
2019-07-22T15:58:17
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http://isabelle.in.tum.de/website-Isabelle2013/dist/library/HOL/Groups.html
Theory Groups Up to index of Isabelle/HOL theory Groups imports Orderings (* Title: HOL/Groups.thy Author: Gertrud Bauer, Steven Obua, Lawrence C Paulson, Markus Wenzel, Jeremy Avigad*)header {* Groups, also combined with orderings *}theory Groupsimports Orderingsbeginsubsection {* Fact collections *}ML {*stru...
2015-08-03T21:19:26
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http://www.gallifrance.net/chcn32u/viewtopic.php?id=8e3e13-derivative-symbol-in-word
For more info, see Insert a symbol in Word.. Derivative definition: A derivative is something which has been developed or obtained from something else. Obtain this by typing the fraction and pressing space: 1/2, 1 which browser is better Microsoft edge or foxfire browser default? As I said last entry, I'm working on a ...
2021-06-22T01:43:13
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https://math.stackexchange.com/questions/3125565/how-to-solve-this-differential-equation-for-psi-n
# How to solve this differential equation for $\psi_n$? How to solve this differential equation for $$\psi_n$$?: $$\frac{1}{2}\frac{\partial^2}{\partial x^2}\psi_n=\lambda_n\psi_n$$ apparently this is a heat equation but I cannot find information on this. Any help is much appreciated. thanks. EDIT The boundary con...
2019-04-20T04:44:12
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https://api-project-1022638073839.appspot.com/questions/how-do-you-solve-e-x-lnx-5
# How do you solve e^x + lnx = 5? May 9, 2016 1.522. Let $f \left(x\right) = {e}^{x} + \ln x - 5$. Locate the root in (n, n+1) by sign test f(n)f(n+1)<0. Bisect the interval and choose the half in which f passes the sign test. Halving continues, for desired accuracy... #### Explanation: The root could not be got in...
2021-10-18T07:22:12
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http://math.stackexchange.com/questions/242431/invariant-factors-of-mathbb-z-m-times-mathbb-z-n
Invariant factors of $\mathbb Z_m\times\mathbb Z_n$ Prove that the invariant factors of $\mathbb Z_m\times\mathbb Z_n$ are $mn$ if $m$ and $n$ are relatively prime and are the greatest common divisor and the least common multiple of $m$ and $n$ if they are not relatively prime. - Hint: use the Chinese Remainder Theor...
2015-07-30T04:44:45
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http://mathoverflow.net/questions/117121/lower-bound-for-exponential-sums/117132
MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4). ## Lower bound for exponential sums. Let $D$ be a subset of $\mathbb Z/n \mathbb Z$ containing $0$. For $m$ an integer, set $$\alpha(m,D)=\sum_{d \in D} e\left (\fra...
2013-06-19T21:26:36
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http://mathhelpforum.com/algebra/122406-roots-cubic-equations-new-equation.html
Thread: Roots of cubic equations and new equation 1. Roots of cubic equations and new equation The equation $x^3 + 4x^2 + 3x + 2 = 0$ has roots $\alpha , \beta, \gamma$. Find the equation with roots $\beta \gamma , \gamma \alpha , \alpha \beta$ For this I so far have: $\alpha + \beta + \gamma$ = -4 $\beta \alpha +...
2017-03-23T10:51:43
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http://mathhelpforum.com/calculus/86288-normal-line.html
1. ## Normal Line What is the equation of the line normal to the curve y=(ln(x))* e raised to (2x) where x=1? I just don't know how to find normal lines. What is the equation of the line normal to the curve y=(ln(x))* e raised to (2x) where x=1? I just don't know how to find normal lines. know how to find a tangent l...
2017-11-23T15:57:27
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http://math.stackexchange.com/questions/195245/average-distance-between-random-points-on-a-line?answertab=active
# Average Distance Between Random Points on a Line Suppose I have a line of length L. I now select two points at random along the line. What is the expectation value of the distance between the two points, and why? - $L/3$, by symmetry. –  Byron Schmuland Sep 13 '12 at 15:18 Care to elaborate, @Byron? –  David Sep 13...
2015-01-28T04:54:13
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http://fortranwiki.org/fortran/show/nint
Fortran Wiki nint Description nint(x) rounds its argument to the nearest whole number. Standard FORTRAN 77 and later, with kind argument Fortran 90 and later Class Elemental function Syntax result = nint(x [, kind]) Arguments • x - The type of the argument shall be real. • kind - (Optional) An integer initial...
2015-03-04T08:30:06
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