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https://math.stackexchange.com/questions/2631418/how-can-you-determine-the-accuracy-of-an-equation-to-generate-pi
How can you determine the accuracy of an equation to generate $\pi$ How can we determine the accuracy of an equation (or algorithm) to generate an approximations of $\pi$? For exampl: Ramanujan: $$\frac{1}{\pi} = \frac{2\sqrt{2}}{9801} \sum^\infty_{k=0} \frac{(4k)!(1103+26390k)}{(k!)^4 396^{4k}}.$$ Chudnovsky broth...
2019-08-21T15:53:12
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https://homework.cpm.org/category/CCI_CT/textbook/pc3/chapter/10/lesson/10.1.2/problem/10-40
### Home > PC3 > Chapter 10 > Lesson 10.1.2 > Problem10-40 10-40. A car’s distance from home is given in the following table. Assume the car started from home. Time (min) $5$ $7$ $10$ $15$ $20$ $35$ $45$ Distance (miles) $1.25$ $2$ $1$ $0$ $1.5$ $5$ $18$ 1. Calculate the average velocity in miles per hour for each ...
2020-09-23T03:45:13
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https://www.physicsforums.com/threads/magnetic-field-lines.84179/
# Magnetic Field Lines I always thougth the "dotted lines" illustrating the direction of a magnetic field were only a tool for vizualizing this direction... Now I read that the definition of a weber equals $$10^{8}$$ field lines. So does this mean that the field lines really exist as discrete lines along the directio...
2020-11-26T16:20:11
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http://mathhelpforum.com/advanced-algebra/1898-finite-extensions-print.html
# Finite Extensions • February 15th 2006, 02:46 PM ThePerfectHacker Finite Extensions I was thinking about this and was not able to prove this. I believe that if this is true then it might be useful in field theory. If, $F\leq E$ are fields, and $\alpha,\beta\in E$ algebraic over $F$ and $[F(\alpha):F]=[F(\beta):F]$....
2014-12-21T18:23:10
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http://mathhelpforum.com/differential-equations/193260-limit-cycles-print.html
# Limit cycles • December 2nd 2011, 12:11 PM Darkprince Limit cycles Whenever I say ... dot I mean the derivative of ... I have to show that the system of Ordinary Diff. Eqns x (dot) = y + x* f(r) / r y (dot) = -x + y * f(r)/r r=sqrt(x^2+y^2) has limit cycles and the limit cycles have radius which correspond to th...
2015-08-04T13:34:23
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http://math.stackexchange.com/questions/788479/maximal-flow-and-minimal-cut-in-complete-graphs
# Maximal flow and minimal cut in complete graphs The question is as follows: We define on the complete graph $K_n$ with the vertices {$v_1, v_2, ... , v_n$} the following directions: for every j>i, the edge $v_i v_j$ is directed from $v_i$ to $v_j$ if |i-j| is odd, and from $v_j$ to $v_i$ if |i-j| is even. We define...
2016-02-13T15:31:04
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http://www.numdam.org/articles/10.5802/alco.37/
On the double-affine Bruhat order: the $\epsilon =1$ conjecture and classification of covers in ADE type Algebraic Combinatorics, Tome 2 (2019) no. 2, pp. 197-216. For any Kac–Moody group $\mathbf{G}$, we prove that the Bruhat order on the semidirect product of the Weyl group and the Tits cone for $\mathbf{G}$ is stri...
2022-07-07T13:01:47
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https://optimization-online.org/tag/automatic-differentiation/
## The structure of conservative gradient fields The classical Clarke subdifferential alone is inadequate for understanding automatic differentiation in nonsmooth contexts. Instead, we can sometimes rely on enlarged generalized gradients called “conservative fields”, defined through the natural path-wise chain rule: o...
2022-11-29T01:09:02
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http://0space.org/c/239-150-matrix-sets-diagonalize
Welcome Guest! # 150 Matrix Sets to Diagonalize For page specific messages For page specific messages This sample contains 150 sets of $3\times 3$ matrices for computing eigenvectors and eigenvalues. Why so many sets? The primary reason for creating so many sets was to give each students a different assignment and...
2019-02-19T20:10:54
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http://www.stmzc.com/
## Show $f$ is infinitely differentiable February 7 Assume that $E$ is a compact Lebesgue measurable subset of $\mathbb{R}$ and let, $$f(t) = \int_E \cos(tx) \, dx, \hspace{1mm} t \in \mathbb{R}$$Show that $f$ is infinitely differentiable.I have a solution using the mean value theorem, induction, and ## Find the cent...
2016-02-07T23:31:15
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http://nosmut.com/Diffusion.html
## Investment Feel free to send your offer to webmaster. # Diffusion in a glass of water. At first, the particles are all near one corner of the glass. If the particles randomly move around ("diffuse") in the water, they eventually become distributed randomly and uniformly from an area of high concentration to an ar...
2017-11-20T07:48:25
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https://ncatlab.org/nlab/show/hom-functor
category theory Contents Definition For $C$ a locally small category, its hom-functor is the functor $hom : C^{op} \times C \to Set$ from the product category of the category $C$ with its opposite category to the category Set of sets, which sends • an object $(c, c') \in C^{op} \times C$, i.e. a pair of objects i...
2017-02-22T01:32:03
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https://zbmath.org/?q=an:1013.52003
## The pentagram map is recurrent.(English)Zbl 1013.52003 Start with a strictly convex $$n$$-gon $$P$$. Associate with each vertex $$v$$ of $$P$$ the half-plane bounded by the line through $$v$$’s two neighbors and not containing $$v$$. Let $$P'$$ be the intersection of the half-planes associated with the vertices of ...
2022-10-02T18:49:00
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https://www.physicsforums.com/threads/supose-that-g-is-a-finite-abelian-group-that-does-not-contain-a-subgro.749674/
# Supose that G is a finite abelian group that does not contain a subgro 1. Apr 20, 2014 ### vish_maths let us assume G is not cyclic. Let a be an element of G of maximal order. Since G is not cyclic we have <a>≠G. Let b be an element in G, but not in the cyclic subgroup generated by a. O(a) = m and O(b) = n where ...
2017-08-20T19:45:55
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https://math.stackexchange.com/questions/444488/surface-area-element-of-an-ellipsoid
# Surface area element of an ellipsoid I would like to evaluate an integral numerically over the surface of an ellipsoid. Take an $N \times N$ grid over the parameter space $(u, v) \in [0, 2\pi) \times [0, \pi)$. A simple approximation of the integral is $$\int_0^{2\pi}\int_0^\pi \mathbf{f}(u,v)\,dA \simeq \sum_{i,j=1...
2019-11-19T13:08:50
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https://trignosource.com/finance/Capital%20gains%20test.html
CAPITAL GAINS TEST DEFINITION During bond valuation (pricing), the investor would have to consider capital gains tax (in case the final redemption amount would be higher than the price paid by him). However, determining whether there would be a capital gain would depend on the price paid, and on the other hand, the pri...
2019-04-20T23:15:47
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https://nag.com/numeric/fl/nagdoc_fl24/html/E04/e04mxf.html
E04 Chapter Contents E04 Chapter Introduction NAG Library Manual NAG Library Routine DocumentE04MXF Note:  before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details. 1  Purpose E04MXF reads data for ...
2018-01-21T09:10:42
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https://www.physicsforums.com/threads/graphical-solution-of-cubic-with-real-roots.177471/
# Graphical solution of cubic with real roots 1. Jul 18, 2007 ### edgo Does anyone know whether the graphical solution of cubic equations with real roots by means of intersecting a circle and a parabola or hyperbola (or just a parabola and hyperbola) is known or not? That solution has to give the equations for the c...
2016-10-24T09:13:11
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http://zardoncomedy.com/m6vh5/what-does-lowercase-delta-mean-in-physics-c27676
# what does lowercase delta mean in physics As Giuseppe Negro said in a comment, $\delta$ is never used in mathematics in $$\frac{dy}{dx}.$$ (I am a physics ignoramus, so I do not know whether it is used in that context in physics, or what it might mean if it is.) Do I have to stop other application processes before r...
2021-12-03T07:51:48
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http://www.singaporemathguru.com/question/primary-6-problem-sums-word-problems-volume-it-s-all-in-the-dimensions-volume-exercise-8-966
### Primary 6 Problem Sums/Word Problems - Try FREE Score : (Single Attempt) #### Question There are 2 containers, a pail and a rectangular tank. 40% of the pail is filled with water. The ratio of the volume of water in the pail to that in the tank is 2:3. The tank measuring 60 cm by 80 cm by 50 cm is filled with...
2018-03-20T01:38:40
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https://en.wikipedia.org/wiki/Kullback%E2%80%93Leibler_divergence
# Kullback–Leibler divergence Not to be confused with divergence in calculus. In probability theory and information theory, the Kullback–Leibler divergence[1][2][3] (also information divergence, information gain, relative entropy, KLIC, or KL divergence) is a measure of the difference between two probability distribu...
2016-02-14T12:53:39
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https://stats.stackexchange.com/questions/523788/confusion-about-maximum-likelihood-estimation-notation/523804
# Confusion about maximum likelihood estimation notation I'm trying to learn some machine learning theory, in particular maximum likelihood estimation. Let me preface my question by saying that I'm very familiar with the Naive Bayes classifier, Bayes' Rule, and related notation. Below, I understand that $$y$$ is a cl...
2021-10-19T06:01:06
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https://gateoverflow.in/67748/ugcnet-june2010-ii-4
298 views $S_{1}$ : I teach algorithms and maths. $S_{2}$ : My professor teaches maths, electronics and computer science. $S_{3}$ : I have a student of maths. $S_{4}$ : Algorithm is a part of computer science. $S_{5}$ : Maths students know computer science. What would be the chromatic number of a graph, vertices ...
2020-01-26T18:40:59
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https://matchmaticians.com/questions/2tjhe5/evaluate-int-c-2x-3-y-3-dx-x-3-y-3-dy-where-c-is-the-unit
# Evaluate $\int_C (2x^3-y^3)dx+(x^3+y^3)dy$, where $C$ is the unit circle. Evaluate $\int_C (2x^3-y^3)dx+(x^3+y^3)dy,$ where $C$ in the unit circle. By Green's Theorem we have $\int_C(2x^3-y^3)dx+(x^3+y^3)dy=\iint_{D} \frac{\partial (x^3+y^3)}{\partial x}-\frac{\partial (2x^3-y^3)}{\partial y}dxdy$ $=\iint_{D} 3x^2+...
2023-01-30T17:51:37
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https://bardsleylaw.com/i5y2qb/3a55e0-what-is-polynomial-in-maths
This means that, no matter what the degree is on a given polynomial, a given exponential function will eventually be bigger than the polynomial. Here is a list of all of the maths skills students learn in grade 11! Go ahead - play and learn! Math. Rational root theorem H.9. Short Answers Questions c. Word Problems d. G...
2021-05-14T16:54:25
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http://math.stackexchange.com/questions/138056/is-the-right-shift-operator-bounded
# Is the right shift operator bounded? I was reading my lecture notes for functional analysis when I came across the following statement: Let $(e_{n})$ be a total orthonormal sequence in a separable Hilbert space H. The right shift operator, defined as the linear operator $T: H\rightarrow{}H$ such that $Te_{n} = e_{n...
2016-06-26T19:00:53
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https://www.physicsforums.com/threads/integration-by-parts.187499/
# Integration by parts 1. Sep 27, 2007 ### chrono210 How would you go about doing this: $$\int64x^2cos(4x)dx$$ The question specifically asks to integrate it by parts, so I integrated it that way a couple of times and came out with some long mess of sines and cosines, but it's not the right answer. Thanks. 2. Se...
2017-06-29T00:45:56
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https://zbmath.org/?q=an:0916.58020
# zbMATH — the first resource for mathematics Equilibrium states for $$S$$-unimodal maps. (English) Zbl 0916.58020 The authors study for $$S$$-unimodal maps $$f$$ equilibrium states maximizing the free energies $$F_t(\mu):= h(\mu)+ t\int\log| f'| d\mu$$ and the pressure function $$P(t):= \sup_\mu F_t(\mu)$$. It is sho...
2021-04-22T22:59:12
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http://ar16.iita.org/klbm9d4n/qt8sx.php?a5d7df=orthogonal-symmetric-matrix
Free online matrix calculator orthogonal diagonalizer symmetric matrix with step by step solution. A scalar product is determined only by the components in the mutual linear space (and independent of the orthogonal components of any of the vectors). Recall some basic de nitions. There is such a thing as a complex-symme...
2021-04-13T23:48:48
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https://se.mathworks.com/help/finance/ecmninit.html
# ecmninit Initial mean and covariance ## Syntax ``[Mean,Covariance] = ecmninit(Data,InitMethod)`` ``[Mean,Covariance] = ecmninit(___,InitMethod)`` ## Description example ````[Mean,Covariance] = ecmninit(Data,InitMethod)` creates initial mean and covariance estimates for the function `ecmnmle`. ``` example ````...
2022-08-14T07:37:06
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https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=14&t=46953&p=165561
## Energy Levels and Color of light $c=\lambda v$ Nikki Razal 1L Posts: 116 Joined: Fri Aug 30, 2019 12:17 am Been upvoted: 1 time ### Energy Levels and Color of light just to clarify, what is the relationship between the color of light emitted and the energy level an electron jumps to? RobertXu_2J Posts: 104 Join...
2020-06-02T08:28:30
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https://gsebsolutions.in/gseb-solutions-class-12-statistics-part-1-chapter-2-ex-2-2/
# GSEB Solutions Class 12 Statistics Part 1 Chapter 2 Linear Correlation Ex 2.2 Gujarat Board Statistics Class 12 GSEB Solutions Part 1 Chapter 2 Linear Correlation Ex 2.2 Textbook Exercise Questions and Answers. ## Gujarat Board Textbook Solutions Class 12 Statistics Part 1 Chapter 2 Linear Correlation Ex 2.2 Quest...
2023-02-06T12:08:30
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https://crypto.stackexchange.com/questions/100132/generalizing-aes-s-box-circular-shifts-in-bigger-gf
# Generalizing AES s-box circular shifts in bigger GF According to wikipedia: https://en.wikipedia.org/wiki/Rijndael_S-box AES is doing interesting thing (where $$<<<$$ is circular shift): $$s = b \oplus (b \lll 1) \oplus (b \lll 2) \oplus (b \lll 3) \oplus (b \lll 4)$$ and this is equal to ($$\times$$ is multipli...
2023-03-26T14:27:04
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https://cn.bio-protocol.org/bio101/r8622014
# Also in the Article Reconstruction algorithm A minimally invasive lens-free computational microendoscope Procedure To reconstruct the image of the object from the object’s system response, we used a reconstruction framework focusing on the local image structures. A popular model to quantify local image informatio...
2021-11-29T11:33:47
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https://physics.stackexchange.com/questions/480091/when-water-flows-over-a-curved-surface-will-it-reduce-the-pressure-on-the-curve
# When water flows over a curved surface, will it reduce the pressure on the curved surface? Is this because of the viscosity of water? I think it's because water moves on a curved surface with centripetal force. Because the gravity of water provides centripetal force, the pressure of water on the curved surface is re...
2019-11-22T12:04:28
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https://www.zora.uzh.ch/id/eprint/122859/
# Measurement of the differential cross section for top quark pair production in pp collisions at $\sqrt{s}$ = 8 TeV CMS Collaboration; Khachatryan, V; Sirunyan, A M; Tumasyan, A; Aarrestad, T K; Amsler, C; Canelli, F; Chiochia, V; De Cosa, A; Hinzmann, A; Hreus, T; Kilminster, B; Lange, C; Millan Mejias, M; Ngadiuba,...
2019-06-21T00:05:13
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https://www.zbmath.org/authors/?q=ai%3Aprodan.emil
# zbMATH — the first resource for mathematics ## Prodan, Emil Compute Distance To: Author ID: prodan.emil Published as: Prodan, E.; Prodan, Emil External Links: ORCID Documents Indexed: 32 Publications since 1998, including 2 Books all top 5 #### Co-Authors 14 single-authored 4 Nordlander, P. 3 Schulz-Baldes, He...
2021-04-17T09:13:08
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http://mathhelpforum.com/geometry/214980-polygon-help-please.html
Hey there, It is a little unclear to me where the 5 and 6 come from for the sides..Could someone please explain? Thanks! The 6cm side is made up of a 2cm length and a 4cm length, 2+4 = 6. The 5cm side is made up of a 2cm length and a 3cm length, 2+3 = 5.
2017-02-22T07:46:53
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http://mathhelpforum.com/differential-geometry/190647-show-inequality-true.html
# Math Help - show that the inequality is true 1. ## show that the inequality is true show that $||x||_1 <= \sqrt{n}||x||_2$ I have proved that $||x_2||<=||x_1||$ by definition we have $||x||_1= |x_1|+|x_2|+....|x_n|$ and $||x||_2=\sqrt{x_1^2+x_2^2+...+x_n^2}$ then we haven $||x_2|| =\sqrt{nx_1^2+nx_2^2+...+nx_n^2...
2016-06-26T03:26:02
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https://www.albert.io/ie/single-variable-calculus/formal-definition-of-the-limit-of-a-sequence
Free Version Difficult # Formal Definition of the Limit of a Sequence SVCALC-A41JLB Let $a_n=\frac{n}{n+1}$. What is the smallest number $N$ with the property that if $n\geq N$, then $|a_n-1|<\frac{1}{10}$? A $11$ B $51$ C $101$ D $501$ E $1001$
2017-01-24T07:40:36
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https://plainmath.net/80843/prove-that-munderover-x
# prove that <munderover> &#x2211;<!-- ∑ --> <mrow class="MJX-TeXAtom-ORD"> k Willow Pratt 2022-07-03 Answered prove that $\sum _{k=1}^{n=90}\frac{1}{\mathrm{sin}\left(k-1\right)\mathrm{sin}\left(k\right)}=\frac{\mathrm{cos}{1}^{\circ }}{{\mathrm{sin}}^{2}{1}^{\circ }}$ You can still ask an expert for help ## Want to...
2022-09-28T12:37:08
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https://math.stackexchange.com/questions/1087412/what-is-a-function
# What is a function? I have been quite confused by the definition of functions and their uses.. First of all can one define functions in a clear understandable way, with a clear explanation of their uses, how they work and what they do? Also I have some specific questions regarding functions Let me give you a exampl...
2019-05-20T12:53:33
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https://infoscience.epfl.ch/record/160556
Infoscience Journal article Local properties of the Hochschild cohomology of C*-algebras Let A be a C*-algebra, and let X be a Banach A-bimodule. Johnson [B. E. Johnson, 'Local derivations on C*-algebras are derivations', Trans. Amer Math. Soc. 353 (2000), 313-325] showed that local derivations from A into X are der...
2017-03-26T22:05:06
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https://www.aimsciences.org/article/doi/10.3934/dcds.2012.32.101
# American Institute of Mathematical Sciences January  2012, 32(1): 101-124. doi: 10.3934/dcds.2012.32.101 ## Traveling wave solution for a lattice dynamical system with convolution type nonlinearity 1 Department of Mathematics, Tamkang University, 151, Ying-Chuan Road, Tamsui, Taipei County 25137 2 Department of M...
2020-11-28T23:32:18
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https://math.libretexts.org/Courses/Monroe_Community_College/MTH_165_College_Algebra_MTH_175_Precalculus/06%3A_Periodic_Functions
# 6: Periodic Functions In this chapter, we will investigate graphs of sine, cosine, and other trigonometric functions. ## Contributors 6: Periodic Functions is shared under a CC BY license and was authored, remixed, and/or curated by LibreTexts.
2022-12-08T23:21:30
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http://math.stackexchange.com/questions/119138/is-my-proof-correct-if-n-is-odd-then-n2-is-odd/119166
# Is my proof correct: if $n$ is odd then $n^2$ is odd? Prove that for every integer $n,$ if $n$ is odd then $n^2$ is odd. I wonder whether my answer to the question above is correct. Hope that someone can help me with this. Using contrapositive, suppose $n^2$ is not odd, hence even. Then $n^2 = 2a$ for some integer...
2015-01-25T17:05:23
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https://help.syscad.net/index.php/Falling_Film_Evaporator_2
# Falling Film Evaporator 2 Navigation: Models ➔ Energy Transfer Models ➔ Falling Film Evaporator 2 NOTE: This is a legacy model with limited functionality, please consider changing to the Falling Film Evaporator 4 model. ## General Description The falling film evaporator is used for liquor concentration. A schema...
2021-09-28T00:51:06
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https://ftp.aimsciences.org/article/doi/10.3934/dcdsb.2015.20.1261
# American Institute of Mathematical Sciences June  2015, 20(4): 1261-1276. doi: 10.3934/dcdsb.2015.20.1261 ## New results of the ultimate bound on the trajectories of the family of the Lorenz systems 1 College of Mathematics and Statistics, Chongqing Technology and Business, University, Chongqing 400067, China 2 C...
2022-07-06T16:27:47
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https://artofproblemsolving.com/wiki/index.php?title=2006_AMC_8_Problems/Problem_1&diff=prev&oldid=119722
# Difference between revisions of "2006 AMC 8 Problems/Problem 1" ## Problem Mindy made three purchases for $\textdollar 1.98$ dollars, $\textdollar 5.04$ dollars, and $\textdollar 9.89$ dollars. What was her total, to the nearest dollar? $\textbf{(A)}\ 10\qquad\textbf{(B)}\ 15\qquad\textbf{(C)}\ 16\qquad\textbf{(D)...
2020-12-05T18:54:05
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https://pytorch.org/docs/stable/generated/torch.linalg.det.html
# torch.linalg.det¶ torch.linalg.det(A, *, out=None)Tensor Computes the determinant of a square matrix. Supports input of float, double, cfloat and cdouble dtypes. Also supports batches of matrices, and if A is a batch of matrices then the output has the same batch dimensions. Note This function is computed using ...
2021-10-23T21:01:04
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https://uniteasy.com/post/1629/
#### Question If a,b,c are real numbers such that a+b+c=2, \dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=\dfrac{1}{2}, show that one of numbers among a,b,c must be equal to 2 Collected in the board: Vieta's Formula Steven Zheng posted 1 hour ago Reduce to the common denominator for the given condition \dfrac{1}{a}+\dfrac...
2023-01-30T14:05:42
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https://www.semanticscholar.org/paper/Zeros-of-the-partition-function-and-dynamical-in-Takahashi-Obuchi/a955afbd6c488f82e5a69aebf0eda0910a5a30df
# Zeros of the partition function and dynamical singularities in spin-glass systems @article{Takahashi2013ZerosOT, title={Zeros of the partition function and dynamical singularities in spin-glass systems}, author={Kazutaka Takahashi and Tomoyuki Obuchi}, journal={arXiv: Statistical Mechanics}, year={2013}, volume={473...
2021-12-02T12:40:24
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https://www.bartleby.com/essay/Two-Features-of-the-Photo-Electric-Effect-F39LFEYVJ
# Two Features of the Photo-Electric Effect Essay 2277 Words10 Pages The photo electric effect, which was first documented by Einstein in 1905, and posited that the energy of liberated electrons is linearly dependent on the frequency of incident photons. This paper investigates this relationship and measures Planck's ...
2020-04-07T08:14:54
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http://www.oalib.com/relative/3245689
Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+ Title Keywords Abstract Author All Search Results: 1 - 10 of 100 matches for " " Page 1 /100 Display every page 5 10 20 Item Physics , 1997, DOI: 10.1088/0264-9381/14/12/019 Abstract: A recently proposed nonlinear transport equatio...
2019-12-06T12:30:33
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https://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-5-review-page-331/105
## Intermediate Algebra (6th Edition) $x^{2}$ - 100 = (x + 10)(x - 10) Check by multiplying factors with FOIL: x(x) + x(-10) + 10(x) + 10(-10) = $x^{2}$ - 10x + 10x - 100 = $x^{2}$ - 100
2019-01-17T15:17:42
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http://test.citizendium.org/wiki/Magnetic_field
# Magnetic field Main Article Discussion Related Articles  [?] Bibliography  [?] Citable Version  [?] Video [?] This editable Main Article is under development and subject to a disclaimer. In physics, a magnetic field (commonly denoted by H) describes a magnetic field (a vector) at every point in space; it is a vect...
2022-10-06T07:17:26
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https://electronics.stackexchange.com/questions/466476/matlab-model-of-an-op-amps-open-loop-gain
# MATLAB model of an op-amp's Open Loop Gain I'm using MATLAB to analyze an amplifier in a transimpedance circuit, and I'm a little lost in implementing the op amp's open-loop gain function with the following formula: $$A(s) = A_{OL} \cdot \frac{\omega_0}{s+\omega_0}$$ $$A_{OL} = \text{DC Open Loop Gain, a Constant}$...
2022-07-03T15:27:56
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https://projecteuclid.org/euclid.aaa/1364845135
## Abstract and Applied Analysis ### Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle Ariana Pitea #### Abstract Motivated by its possible applications in mechanics and mechanical engineering, in our previous published work (Pitea and Postolache, 2011), we initiated an optimi...
2020-04-07T21:17:47
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http://mathhelpforum.com/differential-geometry/176553-minimizing-vector.html
1. ## Minimizing Vector Dear Colleagues: Show that the subset $\displaystyle M=\{y=(\eta _{j})|\sum \eta _{j}=1 \}$ of complex space $\displaystyle C^{n}$ is complete and convex. Find the vector of minimum norm in $\displaystyle M$. Regards, Raed. 2. Originally Posted by raed Dear Colleagues: Show that the subset...
2018-03-18T17:53:03
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http://mathhelpforum.com/math-topics/25949-physics2.html
# Math Help - Physics2 1. ## Physics2 A bomber in level flight, flying at 92m/s, releases a bomb at a height of 1950m. a)how long is it before the bomb strikes the earth? b)how far does it travel horizontally? c)what are the horizontal and vertical components of its velocity when it strikes? d)what is its velocity o...
2015-04-25T07:19:18
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https://forum.allaboutcircuits.com/threads/circuit-gain-q-will-take-you-2s-to-answer.69522/
Circuit Gain Q, will take you 2s to answer Discussion in 'Homework Help' started by ferrishthefish, May 1, 2012. 1. ferrishthefish Thread Starter New Member May 1, 2012 4 0 Suppose I have Vin = V1 + V2*sin(wt) and Vout = V3 + V4*sin(wt). How do I calculate gain? I know it's Vout/Vin, but my lab handout tells me it's...
2018-03-24T15:59:50
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https://discourse.mc-stan.org/t/sampling-subsets-from-a-set/23996
# Sampling Subsets from a Set Hello community, I have a conceptual modelling question - I will attempt to abstract away as much as the details as possible. Assume, you have a set \mathcal{T}. I wish to define a prior on the subsets of \mathcal{T}. Then, my paramater becomes simplex[$2^|T|$] theta (size equalling the ...
2022-05-18T19:35:55
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http://www.silota.com/docs/recipes/sql-n-tile.html
# Calculating percentiles, quartiles, deciles, and N-tiles in SQL A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 60th percentile is the value below which 60% of the observations may be found. Given a se...
2020-01-22T08:45:54
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https://teachingcalculus.com/tag/amortization/
# Sequences Here is a list of past posts on the topics of sequences and series that I hope you find interesting and useful. The first two are suitable for precalculus students. The first uses sequences and series for a very practical aim that affects almost everyone sometime in their life: paying off a loan. The next...
2022-12-10T04:34:48
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https://www.physicsforums.com/threads/find-damping-coefficient-at-a-given-vibration-mode.724265/
# Find damping coefficient at a given vibration mode 1. Nov 21, 2013 ### highroller I am working on a motorcycle dynamics problem. I have written the equations of motion in matrix form in matlab (and mathcad). It is a 4 degree of freedom system, so I have a mass, damping and stiffness matrix all 4X4. I am able to fi...
2018-02-20T00:49:34
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http://math.stackexchange.com/questions/873111/what-is-the-error-in-this-line-integral
# What is the error in this line integral? C is the arc of the curve $y=\sqrt{x}$ from $(1,1)$ to $(4,2)$. Find $$\int_cx^2y^3-\sqrt{x}\space\mathrm{d}y$$Looks simple enough. I take $x=t$ and $y=\sqrt{t}$. This leaves $$\int_1^2[t^2\cdot t^\frac{3}{2}-\sqrt{t}]\frac{1}{2\sqrt{t}}\mathrm{d}t=\frac{11}{8}$$ Sadly, the a...
2015-12-01T09:46:28
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https://stats.stackexchange.com/questions/437102/autocorrelation-function-rhos-of-arp-when-s-goes-infinity/456150
# Autocorrelation function $\rho(s)$ of AR(p), when s goes infinity Let $$\{X_t\}_{t\in\mathbb{Z}}$$ is the stacionary autoregressive process of degree p (AR(p)), and autocorrelation function of AR(p) is $$\rho(s)=\phi_1\rho(s-1)+\phi_2\rho(s-2)+\dots+\phi_p\rho(s-p), \text{ for s=1,2,\dots, p}.$$ I should show that w...
2020-12-02T00:48:39
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http://mathoverflow.net/questions/88576/hausdorff-dimension-of-a-subset-of-cantor-set?sort=votes
# Hausdorff dimension of a subset of Cantor set What is the Hausdorff dimension of the subset $$F := \{ x = \sum^\infty_{n=1} \frac{2 x_n}{3^n} \in [0,1] : x_n \in \{ 0 , 1 \} , x_n = 1 \Rightarrow x_{n+1}=0 \}$$ of the Cantor set? Is it known already? As far as I know, this set can be corresponded to a binary tree r...
2015-01-29T08:23:38
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https://discourse.julialang.org/t/differentialequations-and-derivatives-of-solutions/49995
# DifferentialEquations and derivatives of solutions? Suppose I use the DifferentialEquations.jl package and find a solution structure sol. Is there a simple way to find the derivative of the various variables in sol? In other words: suppose I have 6 states in an ODE model, and want to plot the time derivative of sta...
2022-05-29T08:54:44
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https://gabi.hyperstars.fr/2018/05/01/forgan-ramon-fox-bonnell-2018-classifying-and-modelling-spiral-structures-in-hydrodynamic-simulations-of-astrophysical-discs/
# Forgan, Ramón-Fox & Bonnell (2018) – Classifying and modelling spiral structures in hydrodynamic simulations of astrophysical discs We demonstrate numerical techniques for automatic identification of individual spiral arms in hydrodynamic simulations of astrophysical discs. Building on our earlier work, which used t...
2019-12-07T19:08:54
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https://www.nature.com/articles/s41598-022-17518-z?error=cookies_not_supported&code=4fee2af4-1a4b-41a9-80da-a74628e0ecdd
Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an...
2022-08-13T16:46:20
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https://www.texasgateway.org/resource/102-consequences-special-relativity?book=79076&binder_id=78136
Learning Objectives Learning Objectives By the end of this section, you will be able to do the following: • Describe the relativistic effects seen in time dilation, length contraction, and conservation of relativistic momentum • Explain and perform calculations involving mass-energy equivalence binding energy lengt...
2023-04-02T08:23:35
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https://stats.stackexchange.com/questions/410317/the-interpretation-of-the-economic-significance-in-level-log-and-log-level-model
# The interpretation of the economic significance in level-log and log-level models I have the following two models. The first is a level-log model, and the second is a log-level model. These models are two separate regressions and are estimated independently. Assume that α=0.036 and β=0.549. Based on these values, I...
2019-10-18T12:15:46
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https://www.nature.com/articles/s41598-019-39415-8?error=cookies_not_supported&code=44c58b7e-d59e-4810-94f0-1f7505d306a3
# A Novel Optical Scanning Technique with an Inclined Focusing Plane ## Abstract We propose a novel technique for fully automated optical scanning of thin samples. We analyze its performance and estimate the achievable scanning speed to compare it with conventional techniques. It paves the way to the next generation ...
2020-08-03T18:27:18
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https://nforum.ncatlab.org/discussion/5272/caloron-correspondence/?Focus=58745
# Start a new discussion ## Not signed in Want to take part in these discussions? Sign in if you have an account, or apply for one below ## Discussion Tag Cloud Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support. • CommentRowNumber1. • CommentAuthorUrs • CommentTimeSep 17th ...
2022-01-22T08:27:39
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https://studio.streamanalyze.com:443/docs/guides/tutorial/combining_streams/
# Working with several streams in a query In this section we will go through how to use one of the stream merging functions, pivot, to combine several streams in a query. This tutorial might help you if you are working with streams of several signals and would like to combine and compare them. ## Pivot streams​ The ...
2023-04-01T13:11:50
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https://physics.stackexchange.com/questions/426260/why-do-we-prefer-lagrangian-and-hamiltonian-mechanics-over-the-newtonian-mech?noredirect=1
Why do we prefer “Lagrangian and Hamiltonian mechanics ” over the newtonian mechanics? [duplicate] Basically, I just want to know the advantages of Lagrangian and Hamiltonian mechanics over Newtonian mechanics, that made it much more preferable and widely used! One of the chief practical advantages is that it allows ...
2021-04-21T13:13:32
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https://www.nature.com/articles/s41550-022-01664-5?error=cookies_not_supported&code=bf782066-2dbc-49dd-8473-1087ae39952a
Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an...
2022-08-15T12:08:17
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http://gasturbinespower.asmedigitalcollection.asme.org/article.aspx?articleid=1426752
0 Research Papers: Gas Turbines: Combustion, Fuels, and Emissions Acoustoelastic Interaction in Combustion Chambers: Modeling and Experiments [+] Author and Article Information R. A. Huls1 Faculty of Engineering Technology, Section of Applied Mechanics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Nethe...
2018-03-24T02:26:12
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http://blog.hsauro.org/2022/04/bifurcation-analysis-with-tellurium.html
## Friday, October 28, 2016 ### Bifurcation Analysis with Tellurium Originally Posted on  by I thought I’d try and write a series of HowTos on Tellurium, our python-based tool for the construction, simulation and analysis of biochemical models. Details on this tool can be found here. One of the unique features of T...
2022-10-04T17:42:58
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https://ro-che.info/articles/2013-03-04-open-name-resolution
March 4, 2013 ## What is name resolution? Name resolution is a program analysis which for every name decides what that name refers to. Consider the following Haskell program as an example: n :: Integer n = let k = 10 in k * k There are three names in this program: n, k and Integer. The result of name resolution in...
2016-05-24T17:36:44
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https://zbmath.org/?q=an%3A1043.15020
## A matriceal analogue of Fejér’s theory.(English)Zbl 1043.15020 Let $$A=(a_{ij}), i,j\geq 0$$ be an infinite matrix with complex entries and let $$n\geq 0.$$ The matrix $$A$$ is called of $$n$$-band type if $$a_{ij}=0$$ for $$| i-j| >n.$$ For $$k=0,\pm 1,\pm 2,\cdots ,$$ let $$A_k=(a'_{ij}),$$ where $$a'_{ij}=a_{ij}...
2022-05-24T20:46:51
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https://math.stackexchange.com/questions/1188730/understanding-proof-of-isometry-implies-isomorphism/1188732
# Understanding proof of isometry implies isomorphism Let $T:\mathbb R^n\longrightarrow \mathbb R^n$ be an isometry. Then $T$ is an isomorphism. The proof: Let $\mathbf u_1,\mathbf u_2,\ldots,\mathbf u_n$ be an orthonormal basis for $\mathbb R^n$. Then $T\mathbf u_1,T\mathbf u_2,\ldots,T\mathbf u_n$ is an orthonorma...
2021-08-03T09:00:31
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https://physics.stackexchange.com/questions/656293/efficiency-of-an-heat-engine-with-finite-hot-reservoir
# Efficiency of an heat engine with finite hot reservoir I'm working on a problem that asks me the efficiency of a heat engine exchanging heat with an infinite cold reservoir and a finite hot reservoir of capacity $$C$$ that operates between the temperatures $$T_H=10\,T_C$$. Looking up at the solution, I found out tha...
2022-10-04T00:38:23
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https://bookdown.org/david_carslaw/openair/conditional-quantiles.html
# 20  Conditional quantiles Author David Carslaw ## 20.1 Background Conditional quantiles are a very useful way of considering model performance against observations for continuous measurements . The conditional quantile plot splits the data into evenly spaced bins. For each predicted value bin e.g. from 0 to 10 pp...
2022-10-06T13:18:35
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https://mathoverflow.net/questions/233075/upper-bounding-the-value-of-a-generalized-laguerre-polynomial-using-recurrence
# Upper-bounding the value of a generalized Laguerre polynomial (using recurrence relation?) I would like to produce an easily-interpretable explicit upper bound (i.e. no unspecified constants) for the function $$f(n) := L_n^{\left(-n-\frac{d}{2}\right)}\left(-\frac{1}{2}\right), \quad n,d \in \mathbb{N}$$ with $d$ a ...
2021-05-11T03:57:45
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https://chat.stackexchange.com/transcript/784?m=58017150
5:39 AM 1 There are $26!$ permutations of English alphabet. In Modern Cryptography textbook, William Easttom states that the basic formula for any affine cipher is $ax + b \equiv (mod \space26)$. I'm wondering whether this formula can express every possible permutation. It does not seem obvious that for ... 2 hours l...
2021-07-25T22:19:22
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http://tex.stackexchange.com/questions/52307/how-can-i-make-a-table-like-the-type-in-this-image-in-latex
How can I make a table like the type in this image in LaTeX? I'm trying to make a table like the one in following image in LaTeX but I'm unsure how to go about it. I've been using the tabular environment from the booktabs package, but the following code doesn't produce the table correctly. There are breaks in the lin...
2014-04-18T16:28:31
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https://brilliant.org/problems/sat-math-1/
# SAT Math: 1 Algebra Level 2 Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his total traveling time was 1 hour, what was the total number of miles in the round trip? ×
2020-04-06T21:47:46
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https://eprint.iacr.org/2016/371
A Cryptographic Analysis of UMTS/LTE AKA Stéphanie Alt, Pierre-Alain Fouque, Gilles Macario-rat, Cristina Onete, and Benjamin Richard Abstract Secure communications between mobile subscribers and their associated operator networks require mutual authentication and key derivation protocols. The 3GPP standard provides...
2023-02-06T04:09:43
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https://gimpppa.org/5x-x-2-gt-100/
2(x-4)+6x-5x(3) Final an outcome : -7x - 8 action by action solution : action 1 :Equation in ~ the finish of step 1 : (2 • (x - 4) + 6x) - 15x action 2 : action 3 :Pulling out like terms : 3.1 Pull out ... You are watching: 5x+x^2>100 (x+2)(3x-4)=448 Two services were found : x = -38/3 = -12.667 x = 12 Rearrange: Rea...
2021-11-27T12:11:19
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https://chemistry.stackexchange.com/questions/109270/hybridization-of-carbon-atoms-present-in-the-smallest-ester
# Hybridization of carbon atoms present in the smallest ester? I found this question in the Resonance DLPD Organic Chemistry book on Page 55: What is the hybridization of carbon atoms present in the smallest ester? The smallest ester as far as I know is methyl formate ($$\ce{HCOOCH3}$$): The first carbon atom (on l...
2019-10-18T13:52:13
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https://www.sparrho.com/item/method-for-determining-magnetization-and-the-field-radiated-by-a-ferromagnetic-plate/d2599f/
# Method for determining magnetization and the field radiated by a ferromagnetic plate Imported: 13 Feb '17 | Published: 30 Jan '07 USPTO - Utility Patents ## Abstract The invention concerns the field of devices and appliances for measuring the intensity and the direction of the magnetic field emitted by a plate or...
2020-09-26T21:10:32
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https://iwant2study.org/ospsg/index.php/interactive-resources/physics/02-newtonian-mechanics/09-oscillations/93-shm195
Chapter SHM Example 01_02 1.5.1.Q1: what is the maximum angle of release before the motion is not accurately described as a simple harmonic motion for the case of a simple free pendulum? Example 1: Simple pendulum A pendulum bob given an initial horizontal displacement and released to swing freely to produce to and f...
2021-10-26T21:55:01
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https://www.gradesaver.com/textbooks/math/calculus/calculus-early-transcendentals-8th-edition/chapter-2-section-2-7-derivatives-and-rates-of-change-2-7-exercises-page-149/29
## Calculus: Early Transcendentals 8th Edition a) $F'(2) = -\frac{3}{5}$ b) The red is the graph of $f(x) = \frac{5x}{1+x^2}$ The blue is the tangent line $y = -\frac{3x}{5} + \frac{16}{5}$. $F'(a) = \lim\limits_{x \to a} \frac{f(x)-f(a)}{x-a}$ $F'(a) = \lim\limits_{x \to a} \frac{\frac{5x}{1+x^2}-\frac{5a}{1+a^2}}{(x...
2019-01-18T05:26:42
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https://labs.tib.eu/arxiv/?author=P.%20Cole
• ### Dark matter search in a Beam-Dump eXperiment (BDX) at Jefferson Lab: an update on PR12-16-001(1712.01518) Jan. 8, 2018 hep-ex, physics.ins-det This document is an update to the proposal PR12-16-001 Dark matter search in a Beam-Dump eXperiment (BDX) at Jefferson Lab submitted to JLab-PAC44 in 2016 reporting progr...
2020-11-27T15:35:08
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https://alco.centre-mersenne.org/articles/10.5802/alco.251/
# ALGEBRAIC COMBINATORICS Refined Littlewood identity for spin Hall–Littlewood symmetric rational functions Algebraic Combinatorics, Volume 6 (2023) no. 1, pp. 37-51. Fully inhomogeneous spin Hall–Littlewood symmetric rational functions ${F}_{\lambda }$ are multiparameter deformations of the classical Hall–Littlewood...
2023-03-29T16:14:23
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http://zgkj.cast.cn/CN/abstract/abstract10107.shtml
• • ### 树脂基碳纤维复合材料的热物理性能之一——导热系数 1. 兰州物理研究所 • 发布日期:1987-06-25 ### THE ONE OF THERMAL PHYSICAL PROPERTIES OF CARBON FIBRE/EPOXY—RESIN COMPOSITES—THERMAL CONDUCTIVITY Zhang Jianke (Lanzhou Physics Institute) • Published:1987-06-25 Abstract: The relations between thermal conductivity of carbon fibre/epoxy-resin comp...
2019-11-22T13:14:58
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https://web2.0calc.com/questions/gcf_8
+0 # GCF 0 163 2 Find the GCF of the monomials 10p^2, 25pq, and 15q^2. Mar 11, 2021 #1 +347 +1 Well, I can't know for sure, but I have a distinct feeling that it's 5. I mean I'm pretty sure unless I have some numbers for p and q theres no way. So uhh, either gimme some numbers, or live with the fact that it's m...
2021-11-27T03:00:26
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https://diwu1990.github.io/tag/gemm-architecture/
# GEMM Architecture ## uGEMM: Unary Computing for GEMM Applications General matrix multiplication (GEMM) is pervasive in various domains, such as signal processing, computer vision, and machine learning. Conventional binary architectures for GEMM exhibit poor scalability in area and energy efficiency, due to the … #...
2021-09-26T07:00:47
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