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https://www.physicsforums.com/threads/quantum-spherical-harmonic-oscillator-eigenfunctions.223438/
# Quantum spherical harmonic oscillator:eigenfunctions 1. Mar 21, 2008 ### folgorant Hi to everybody of PF community!! I have some troubles to find eigenfunctions common to $$H, L_{z}, L^2$$ in the problem of spherical simmetric harmonic oscillator. I start with the Hamiltonian $$H=\frac{\textbf{p}^2}{2 \mu} - \fr...
2017-08-18T14:34:18
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https://strawberryfields.readthedocs.io/en/stable/code/api/strawberryfields.ops.Interferometer.html
sf.ops.Interferometer¶ class Interferometer(U, mesh='rectangular', drop_identity=True, tol=1e-06)[source] Bases: strawberryfields.ops.Decomposition Apply a linear interferometer to the specified qumodes. This operation uses either the rectangular decomposition or triangular decomposition to decompose a linear inter...
2022-08-09T14:35:35
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https://math.stackexchange.com/questions/1332301/how-does-this-solution-involve-counting-surjective-functions
# How does this solution involve counting surjective functions? I recently had the following question, which I answered incorrectly, in a combinatorics exam: How many ways are there to put 8 balls in 9 holes $H_1, ..., H_9$ if the balls are all different and only the holes $H_1, H_2, H_3, H_4$ are empty? Apparently,...
2021-09-20T02:24:29
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http://theoreticalatlas.wordpress.com/category/conferences/
### conferences To continue from the previous post Twisted Differential Cohomology Ulrich Bunke gave a talk introducing differential cohomology theories, and Thomas Nikolaus gave one about a twisted version of such theories (unfortunately, perhaps in the wrong order). The idea here is that cohomology can give a clas...
2014-07-30T02:57:35
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http://openstudy.com/updates/509412e1e4b00ef4cca0f2ea
## Study23 Hmm.. I'm having difficulties differentiating this function: $$\ \frac{x}{x+\frac{c}{x}}$$. Help, please! one year ago one year ago 1. Mathmuse function of x. c and z are constants. Direct quotient rule 2. Study23 @Mathmuse The fraction is $$\ \Huge \frac{c}{x}.$$ 3. Mathmuse my bad, could not see it p...
2014-03-10T18:23:01
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https://learnche.org/4C3/Software_tutorial/Transformation_of_data_in_a_linear_model
Software tutorial/Transformation of data in a linear model ← Testing a linear model in R (previous step) Tutorial index Next step: Investigating outliers, discrepancies and other influential points → This is shown by example for a few different types of transformations: Description Desired model Formula function in...
2019-01-21T11:16:43
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https://www.physicsforums.com/threads/exponentiation-of-mods.800827/
# Exponentiation of mods 1. Mar 2, 2015 ### Sam Anderson Could somebody at least tell me about mods in exponents? Last edited: Mar 2, 2015 2. Mar 2, 2015 ### Mentallic Tetration already has a formalized expression. $$^n3=3^{3^{...^3}}$$ with n 3's in the stack. Or you can even use Knuth's up arrow notation. Exp...
2018-07-16T09:51:45
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https://www.physicsforums.com/threads/optical-transition-rate-for-quantum-wells.328486/
# Optical transition rate for quantum wells 1. Aug 2, 2009 ### Kcant So, let's say that you wanted to find the optical transition rate between subbands for electrons in a quantum well. To a good approximation, you can say that the wavefunctions are of the form $\Psi = \psi(\vec r) u_c(\vec r)$ where u_c is the Blo...
2018-07-17T03:01:46
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http://ncatlab.org/nlab/show/Hurewicz+cofibration
# Contens ## Definition A continuous map $i:A↪X$ is a Hurewicz cofibration if it satisfies the homotopy extension property. This means that • for any topological space $Y$, • all continuous maps $f:A\to Y$, $\stackrel{˜}{f}:X\to Y$ such that $\stackrel{˜}{f}\circ i=f$ • and a homotopy $F:A×I\to Y$ such that $F\le...
2013-12-10T21:29:56
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https://cms.math.ca/10.4153/CMB-1997-007-3
location:  Publications → journals → CMB Abstract view # Cauchy's problem for harmonic functions with entire data on a sphere We give an elementary potential-theoretic proof of a theorem of G.~Johnsson: all solutions of Cauchy's problems for the Laplace equations with an entire data on a sphere extend harmonically to...
2015-05-23T04:16:20
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https://plainmath.net/2996/solve-given-symbolic-initial-value-problem-sketch-graph-solution-3delta
# Solve the given symbolic initial value problem and sketch a graph of the solution. y′′+y=3delta(t-(frac{pi}{2}) y(0)=0​ y'(0)=3 Solve the given symbolic initial value problem and sketch a graph of the solution. $y\prime \prime +y=3\delta \left(t-\left(\frac{\pi }{2}\right)y\left(0\right)=0{y}^{\prime }\left(0\right)...
2022-06-28T21:43:22
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https://www.allanswered.com/post/wlpln/coding-a-primal-dual-active-set-algorithm/
### (Deleted) Coding a primal dual active set algorithm 115 views 1 4 months ago by Let $\Omega = [0, 1]^2$ and denote by $\Omega_h$ the associated mesh. Let $A^{-1}_p := \Omega_h$, $A^{-1}_c \subset \Omega_h$, $\psi := -0.075$, $c := 10^{-8}$, $\gamma:= 0.011$ and $\delta:= 0.01$. I am struggling in coding the follo...
2018-08-16T12:23:29
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https://kisonecat.com/research/finiteness.html
Finiteness properties A combination of Bestvina–Brady Morse theory and an acyclic reflection group trick produces a torsion-free finitely presented -Poincaré duality group which is not the fundamental group of an aspherical closed ANR -homology manifold. The acyclic construction suggests asking which -Poincaré dualit...
2021-01-23T02:26:39
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https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/9075/2/a/l/
Properties Label 9075.2.a.l Level $9075$ Weight $2$ Character orbit 9075.a Self dual yes Analytic conductor $72.464$ Analytic rank $0$ Dimension $1$ CM no Inner twists $1$ Related objects Newspace parameters Level: $$N$$ $$=$$ $$9075 = 3 \cdot 5^{2} \cdot 11^{2}$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\ch...
2022-10-04T01:22:10
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http://mathematica.stackexchange.com/tags/functions/hot?filter=year
# Tag Info 27 The symbols that are market [[EXPERIMENTAL]] in the documentation are in their own entity class of the "WolframLanguageSymbol" entity type, which is named "UnderDevelopment". EntityClass["WolframLanguageSymbol", "UnderDevelopment"] Here is a list of all the 25 symbols currently (version 10.3) in EntityL...
2016-06-27T02:27:53
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http://mathhelpforum.com/calculus/226987-position-particle-when-changes-direction.html
# Thread: Position of particle when it changes direction? 1. ## Position of particle when it changes direction? I have these two identical question with different answer options: I picked the one I thought was right for T, and it turned out being in both question options. Is this right or am I dumbing it down too muc...
2017-03-26T08:43:01
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https://stats.stackexchange.com/questions/232774/determining-correlation-from-covariance
# Determining correlation from covariance If i have 2 sets of data values, and know the co variance between the two, is it possible to determine the correlation between the two sets, and if so, how? • Hoe you tried the Wiki entry for correlation? – Dimitriy V. Masterov Sep 1 '16 at 1:35 • You need to also know, or be...
2020-03-30T23:56:44
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http://www.physicsforums.com/showthread.php?t=65605
## Line of real numbers-transcendental numbers Hi everybody, I would like to ask two things: 1)What is the line of real numbers? Is it just a graphical way of representing the set of real numbers? 2)How is the existence of transcendental numbers explained? I mean, if we look at the number line, and thinking of the D...
2013-05-24T09:33:18
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https://physics.stackexchange.com/questions/681793/is-sound-a-classical-mechanic-phenomenon-or-is-it-a-quantum-effect/681837
# Is sound a classical mechanic phenomenon or is it a quantum effect? I am just curious because sound is longitudinal waves, meaning the energy is passed from one particle to another nearby particle and produces a wave that continues on until it reaches our ear as a sound wave or hits our skin as a pressure wave, so i...
2022-05-17T11:51:32
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http://gate-exam.in/CE/Syllabus/Structural-Engineering/Concrete-Structures/Design-of-Beams
GATE Questions & Answers of Design of Beams What is the Weightage of Design of Beams in GATE Exam? Total 4 Questions have been asked from Design of Beams topic of Concrete Structures subject in previous GATE papers. Average marks 1.75. A singly-reinforced rectangular concrete beam of width 300 mm and effective depth...
2019-01-22T17:34:15
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http://mathinary.com/circle_sector.jsp
# Circle sector A circle sector is a part of circle defined by the circle’s periphery (the edge) and an angle formed by two radiuses. ## Arc length Use the following formula to calculate the arc length: Where θ is the angle at the center point in radians and r is the radius. ## Area The area of the circle sector ...
2017-03-22T22:10:45
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https://learn.careers360.com/ncert/question-the-perpendicular-from-the-origin-to-the-line-y-equals-mx-plus-c-meets-it-at-the-point-minus-1-2-find-the-values-of-m-and-c/
# Q : 15      The perpendicular from the origin to the line  $y=mx+c$  meets it at the point  $(-1,2)$. Find the values of $m$ and $c$. G Gautam harsolia We can say that line passing through point $(0,0) \ and \ (-1,2)$  is perpendicular to line $y=mx+c$ Now, The slope of the line  passing through the point $(0,0) \ ...
2020-04-06T19:43:58
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https://ask.cvxr.com/t/does-cvx-allow-beta-function/803
# Does CVX allow Beta function? N=4; K=3; \lambda=[100\hspace{3mm} 50 \hspace{3mm} 10]; \delta_k=2^{b_k}{\text{ Beta}(2^{b_k},\frac{1}{N-1})}; I_k=\lambda_k\delta_k; My optimization problem is \min_{b_k}\hspace{3mm}\max_{k\in\{1,2,\cdots,K\}}I_k Here, b_k is the optimization variable. How to express the objecti...
2023-03-21T13:54:56
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https://zbmath.org/?q=an:1047.60021
## Large deviations problems for star networks: the min policy.(English)Zbl 1047.60021 Summary: We are interested in analyzing the effect of bandwidth sharing for telecommunication networks. More precisely, we want to calculate which routes are bottlenecks by means of large deviations techniques. The method is illustr...
2022-08-15T00:35:54
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http://www.whxb.pku.edu.cn/CN/10.3866/PKU.WHXB19860307
硝酸肼的量热研究 1. 中国科学院大连化学物理研究所 • 收稿日期:1985-05-13 修回日期:1985-10-30 发布日期:1986-06-15 CALORIMETRIC STUDY FOR HYDRAZINE NITRATE Zhou Lixing; Chen Shuxia; Ye Jinchun; Yin Anxue; Sun Yi 1. Dalian Institute of Chemical Physics, Academia Sinica • Received:1985-05-13 Revised:1985-10-30 Published:1986-06-15 Abstract: By using a p...
2019-08-22T08:45:05
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https://www.maplesoft.com/support/help/Maple/view.aspx?path=Physics/Tetrads/IsTetrad
Physics[Tetrads][IsTetrad] - returns true or false according to whether a given matrix is a null or orthonormal tetrad and indicates what kind of the tetrad is Calling Sequence NullTetrad(method = ..., firstvector = ...) OrthonormalTetrad(method = ..., firstvector = ...) IsTetrad(T, orthonormal, null, quiet) Paramet...
2022-05-18T16:22:59
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https://socratic.org/questions/how-do-you-graph-the-line-5x-2y-1
# How do you graph the line 5x - 2y =1? Apr 17, 2016 $\text{the intercept points are:}$ $A = \left(\frac{1}{5} , 0\right)$ $B = \left(0 , - \frac{1}{2}\right)$ #### Explanation: $5 x - 2 y = 1$ $2 y = 5 x - 1$ $y = \frac{5}{2} x - \frac{1}{2}$ $\text{let's find the intercept points for line}$ $\mathmr{if} x = 0 \...
2021-06-14T00:15:33
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http://www.solidangl.es/
August 1, 2019 When Does Nothing Mean Something? I thought I was done writing about this topic, but it just keeps coming back.  The internet just cannot seem to leave this sort of problem alone: I don't know what it is about expressions of the form $$a\div b(c+d)$$ that fascinates us as a species, but fascinate it do...
2019-08-22T22:17:54
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https://scicomp.stackexchange.com/questions/19429/looking-for-references-on-this-adaptive-runge-kutta-method-gsl-s-rk2
Looking for references on this adaptive Runge–Kutta method (GSL’s rk2) Background For a study that is beyond the scope of this question, I applied all of GSL’s adaptive Runge–Kutta methods to a certain problem. This includes a Runge–Kutta method of 2nd and 3rd order, denoted as gsl_odeiv2_step_rk2. It is arguably a r...
2020-10-26T12:18:53
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https://aitopics.org/class/Technology/Information%20Technology/Artificial%20Intelligence/Machine%20Learning/Ensemble%20Learning
to ### BetaBoosting At this point, we all know of XGBoost due to the massive success it has had in numerous Data Science competitions held on platforms like Kaggle. Along with its success, we have seen several variations such as CatBoost and LightGBM. All of these implementations are based on the Gradient Boosting al...
2021-10-25T14:13:10
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https://math.stackexchange.com/questions/2265516/sum-n-int-a-n-fx-d-mu-infty/2265524
# $\sum_n \int_{A_n} |f(x)| d\mu < \infty$ Let $A = \cup_n A_n$ be a finite or countable union of pairwise disjoint sets $A_n$, and suppose $f$ is integrable on each $A_n$, and satisfies the condition $$\sum_n \int_{A_n} |f(x)| d\mu < \infty$$ I have to prove that $f$ is integrable on $A$. I can't prove this stateme...
2019-09-21T11:29:47
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https://math.stackexchange.com/questions/930151/how-to-solve-int-fracdxx3-1
# How to Solve $\int \frac{dx}{x^3-1}$ I am having quite a difficult time integrating $$\int \frac{\mathrm{d}x}{x^3-1}$$ My first approach was to apply a partial fraction decomposition $$\int \frac{\mathrm{d}x}{x^3-1} = \int \frac{\mathrm{d}x}{(x-1)(x^2+x+1)} = \frac{1}{3} \int \frac{\mathrm{d}x}{x-1} - \frac{1}{3}...
2019-08-26T02:33:06
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http://math.stackexchange.com/questions/177620/is-a-total-function-also-a-partial-function
# Is a total function also a partial function? Is there a consensus on whether a total function, i.e., a function defined for each element of the domain, is also a partial function? - I would guess so. In programming language semantics, a partial function $A\to B$ is understood exactly as a function $A\to B\cup \{\bo...
2015-05-25T08:12:41
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http://www.shelovesmath.com/calculus/differential-calculus/definition-of-the-derivative-2/
# Definition of the Derivative This section covers: The derivative of a function is just the slope or rate of change of that function at that point.  The reason we have to say “at that point” is because, unless a function is a line, a function will have many different slopes, depending on where you are on that functi...
2017-04-27T01:23:54
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https://ask.sagemath.org/questions/44194/revisions/
# Revision history [back] ### how to get the transformation matrix for a transformation over 4x4 matrices? I have the following transformation: M = MatrixSpace(QQ,4,4) def f(m): return matrix([ [m[0][0], m[0][1], m[0][2], m[0][3]], [m[1][3], m[1][0], m[1][1], m[1][2]], [m[2][2], m[2][3], m[2][0], m[2][1]], [m[3][1],...
2020-10-21T19:55:48
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https://research.utwente.nl/en/publications/considering-copositivity-locally
# Considering copositivity locally Peter James Clair Dickinson, Roland Hildebrand 5 Citations (Scopus) ### Abstract We say that a symmetric matrix $A$ is copositive if $\mathbf{v}^T A\mathbf{v}\geq0$ for all nonnegative vectors $\mathbf{v}$. The main result of this paper is a characterization of the cone of feasibl...
2020-02-16T19:14:44
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http://crypto.stackexchange.com/questions?page=81&sort=votes
All Questions 0answers 20 views Are there UFDs where the factorization problem is difficult but finding irreducibles is cheap? Factorization of integers is hard, but finding irreducibles is expensive. Is there a ring where factorization is assumed hard but finding irreducibles is much cheaper than over $\Bbb Z$? It ...
2015-08-30T18:05:37
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https://math.stackexchange.com/questions/2798294/non-monotonicity-of-function-with-definition-changing-w-r-t-rational-irrational
Non-Monotonicity of Function with Definition Changing w.r.t. Rational/Irrational Input I'm struggling with a problem that seems very straightforward, so I apologize in advance if the answer is trivial. I'm trying to prove that: $$f(x) = \begin{cases} x+x^2 & x \in \mathbb{Q} \\ x-x^2 & x \not\in \mathbb{Q} \\ \end{ca...
2023-03-20T15:30:13
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https://www.transtutors.com/questions/plz-help-i-rate-lifesaver-200413.htm
# Plz Help, I RATE LIFESAVER x.øi5nt color... • ### Plz Help, I RATE LIFESAVER (Solved) June 23, 2009 Plz Help , I RATE LIFESAVER Brian Buckley has developed the following forecasting model: where = demandfor Aztec air conditioners and = theoutside temperature (°F) (a) Forecast demand for the Aztec when the tem...
2018-07-18T02:57:22
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https://math.stackexchange.com/questions/3108340/number-of-unlabeled-rooted-trees-with-n-vertices-and-k-leaves
# Number of unlabeled rooted trees with n vertices and k leaves I know that we can write the corresponding multivariate generating function as follows: $$\sum y^kx^n$$ such that $$n$$ is the number of vertices and $$k$$ is the number of leaves. Then we can obtain $$f(x,y)=xy+x(\frac{1}{1-f(x,y)}-1)$$. On the other han...
2020-10-30T14:46:42
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https://indico.inr.ru/event/4/session/14/contribution/42
# International Conference on New Photo-Detectors (PD15) 6-9 July 2015 Moscow, Troitsk Europe/Moscow timezone Home > Timetable > Session details > Contribution details # Electromagnetic Calorimeter of the Belle II detector ## Speakers • Boris SHWARTZ ## Primary authors • Boris SHWARTZ (Budker Institute of Nuclear...
2021-10-16T21:32:37
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https://www.integral-domain.org/lwilliams/Applets/discretemath/completegraphs.php
# Complete Graphs Nodes: #### Appearance Options Edge Color: # Background Color: # Node Size: Edge Thickness: #### Animation Options Animate: Draw By: Nodes    Parallels Speed: #### Graph Information Total Edges: Max Degree: Min Degree: Mean Degree: In a complete graph, every node is connected by an (undirected...
2021-09-27T09:16:53
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http://mathhelpforum.com/differential-equations/179651-wave-equation-word-problem-print.html
# Wave Equation Word Problem • May 5th 2011, 12:28 PM mathematicalbagpiper Wave Equation Word Problem At time $t=0$, two explosions occur in 3-space. They are contained within the spheres of radius 1 at the points (4,0,0) and (0,9,0). If you are located at hte point (0,5,0), what is the largest set of times $t>0$ for ...
2015-08-01T12:26:46
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http://www.ck12.org/geometry/Slope-in-the-Coordinate-Plane/lesson/Slope-in-the-Coordinate-Plane-BSC-GEOM/
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" /> # Slope in the Coordinate Plane ## Steepness of a line between two given points. Estimated9 minsto complete % Progress Practice Slope in the Coordinate Plane MEMORY METER This indicate...
2017-03-29T17:52:43
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https://radar.inria.fr/report/2019/ouragan/uid93.html
EN FR • Legal notice • Accessibility - non conforme ## Section: New Results ### A symbolic computation approach towards the asymptotic stability analysis of differential systems with commensurate delays In [30], the work aims at studying the asymptotic stability of retarded type linear differential systems with comm...
2023-02-08T17:58:08
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http://curiouscheetah.com/Math/Essay/InscribedPi
Curious Cheetah # Calculating π with Inscribed Polygons ## Introduction What is π? The constant value of π has proved to be useful in a wide array of mathematical fields. It began as a placeholder for a number that ancient mathematicians felt must exist: The ratio of the measure of the perimeter of a circle (called ...
2019-03-24T21:45:23
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https://mathoverflow.net/questions/366563/homotopy-ehresmann-and-deformation-invariance-of-l-adic-chern-classes
# Homotopy Ehresmann and deformation invariance of $l$-adic Chern classes Let $$S$$ be a connected scheme of finite type over $$\overline{\mathbb{F}_p}$$. Let $$\pi:X\to S$$ be a smooth proper morphism such that each fiber over a closed point has a trivial étale fundamental group. Let $$s, s'\in S$$ be two closed poin...
2023-01-30T02:01:26
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https://aptitude.gateoverflow.in/6253/nielit-2017-dec-scientist-b-section-a-59
29 views What is the measure of the radius of the circle that circumscribes a triangle whose sides measure $9, 40$ and $41$? 1. $6$ 2. $4$ 3. $24.5$ 4. $20.5$ in Others edited | 29 views $9^{2}$+$40^{2}$=$41^{2}$ Therefore, the radius of the circle that circumscribes the triangle = $\frac{41}{2}$ = 20.5
2020-05-29T04:03:26
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https://stacks.math.columbia.edu/tag/0F6P
Lemma 62.4.2. Let $f : X \to Y$ be a morphism of schemes which is locally quasi-finite. Let $\overline{y} : \mathop{\mathrm{Spec}}(k) \to Y$ be a geometric point. Functorially in $\mathcal{F}$ in $\textit{Ab}(X_{\acute{e}tale})$ we have $(f_{p!}\mathcal{F})_{\overline{y}} = \bigoplus \nolimits _{f(\overline{x}) = \ove...
2023-02-02T12:10:51
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http://car-stars.ru/Prime-factorization-of-3172
# Prime factorization of 3172 If it's not what You are looking for type in the field below your own integer, and You will get the solution. Prime factorization of 3172: By prime factorization of 3172 we follow 5 simple steps: 1. We write number 3172 above a 2-column table 2. We divide 3172 by the smallest possible p...
2018-06-23T07:56:44
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https://www.sangakoo.com/en/unit/systems-of-non-linear-equations
# Systems of non-linear equations A system of equations is non-linear if at least one of its equations is not linear (there is some exponent which is greater than one). These systems will usually be solved by replacement. When possible, it is advisable to draw the equations of the system in order to have an approxima...
2020-11-30T10:41:37
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https://crypto.stackexchange.com/questions/86355/why-is-this-not-a-viable-key-exchange-algorithm/86356
# Why is this not a viable key exchange algorithm? [duplicate] I was just wondering why this kind of algorithm can't be used instead of, say, Diffie-Hellman to exchange keys: 1. Alice decides on a key she wishes to share with Bob. 2. Alice generates a stream of bytes with the same length as the key (securely, say, wi...
2021-01-26T13:02:10
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https://math.stackexchange.com/questions/630623/probability-in-multi-throw-dice-game
Probability In Multi-Throw Dice Game I am having some trouble coming up with a probability table for a game that I wrote. The game uses 6 dice. The player can throw the dice multiple times, but must retain at least 1 on each throw. In order to complete a game with a score the player must retain one '2' and one '4'. T...
2019-08-26T07:53:12
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https://gateoverflow.in/158418/ugcnet-jan2017-ii-5
+1 vote 23 views Consider a Hamiltonian Graph G with no loops or parallel edges and with $|V(G)| = n ≥ 3$. Then which of the following is true ? (1) $deg(v) ≥ \frac{n}{2}$ for each vertex v. (2) $|E(G)| ≥ \frac{1}{2}(n – 1) (n – 2) + 2$ (3) $deg (v) + deg(w) ≥ n$ whenever v and w are not connected by an edge. (4) A...
2017-10-19T01:48:59
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https://physics.stackexchange.com/questions/441555/what-does-a-photon-emitted-by-an-atom-look-like
# What does a photon emitted by an atom “look” like? Consider the emission of a photon when an atom decays from an excited state to its ground state. In most cases, this emitted photon is depicted as a small wave-packet being expelled by the atom in a well-defined direction. However, quantum optics tell us that photon...
2020-07-06T12:03:53
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http://openstudy.com/updates/55e65870e4b0445dfd142591
## Daniellelovee one year ago how to solve 11^1/7 1. anonymous $11^{\frac{1}{7}}=\sqrt[7]{11}$ think you have to use a calculator if you want a decimal 2. Daniellelovee no I have to get a radical thats what makes it more difficult 3. anonymous no that makes it easier 4. anonymous i wrote it in radical form for ...
2016-10-26T15:14:41
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http://math.stackexchange.com/questions/137239/why-does-this-probability-equivalence-of-events-hold?answertab=active
# Why does this probability equivalence of events hold? $P(X_0 = j, X_m \ne j, 1 \le m \le n-1) = P(X_m \ne j, 1 \le m \le n-1) - P(X_m \ne j, 0 \le m \le n-1)$ Where $\{X_n\}$ is an irreducible Markov Chain with a finite state space. - This is basic probability; it has nothing to do with Markov chains. Define $A=...
2014-09-24T02:33:55
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https://yalmip.github.io/example/nonconvexquadraticprogramming/
Tags: Updated: A common question I get is along the lines how can I solve a nonconvex QP using SeDuMi? The answer to the questions is a bit tricky, since it depends on what the user means with solve, and why SEDUMI is mentioned. Do you mean that you want to compute an exact solution and just assume that SEDUMI (or a...
2018-05-23T09:02:12
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http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHCJ_2006_v21n3_465
WEIGHTED COMPOSITION OPERATORS BETWEEN BERGMAN-TYPE SPACES Title & Authors WEIGHTED COMPOSITION OPERATORS BETWEEN BERGMAN-TYPE SPACES Sharma, Ajay K.; Sharma, Som Datt; Abstract In this paper, we characterize the boundedness and compactness of weighted composition operators $\small{{\psi}C_{\varphi}f={\psi}fo{\psi}}$...
2017-01-23T15:07:54
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http://www.computer.org/csdl/trans/tb/2012/02/ttb2012020321-abs.html
Subscribe Issue No.02 - March/April (2012 vol.9) pp: 321-329 Nianyin Zeng , Fujian Key Lab. of Med. Instrum. & Pharm. Technol., Fuzhou Univ., Fuzhou, China Zidong Wang , Dept. of Inf. Syst. & Comput., Brunel Univ., Uxbridge, UK Yurong Li , Fujian Key Lab. of Med. Instrum. & Pharm. Technol., Fuzhou Univ., Fuzhou, China ...
2015-03-03T03:25:53
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https://forum.bebac.at/mix_entry.php?id=22140&category=1&view=mix
konkous ☆ Greece, 2020-12-11 07:25 (145 d 16:59 ago) Posting: # 22140 Views: 780 ## Pilot study [Power / Sample Size] Dear colleagues, We have conducted an in-vitro permeation pilot study for confirming the suitability of our design in terms of time points, duration and for estimating the sample size for the pivot...
2021-05-06T00:24:55
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https://mathoverflow.net/questions/260170/quotient-of-weak-amenable-banach-algebras
# Quotient of weak amenable Banach algebras Let $A$ be a weak amenable Banach algebra and $I$ be a closed (two-sided) ideal of $A$. In general $\frac{A}{I}$ is not weakly amenable. Is there an example of this type of weak amenable Banach algebra?(Can you give me an example of a weak amenable Banach algebra with a non ...
2020-09-28T00:28:34
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https://www.solidot.org/translate/?nid=89461
## Chow Rings of Vector Space Matroids. (arXiv:1802.04241v1 [math.CO]) The Chow ring of a matroid (or more generally, atomic latice) is an invariant whose importance was demonstrated by Adiprasito, Huh and Katz, who used it to resolve the long-standing Heron-Rota-Welsh conjecture. Here, we make a detailed study of the...
2018-05-22T23:26:10
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https://study.com/academy/answer/sketch-the-graph-of-f-by-hand-and-use-your-sketch-to-find-the-absolute-and-local-maximum-and-minimum-values-of-f-f-x-x-2-if-1-leq-x-leq-0-7-8x-if-0-x-leq-1.html
# Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and... ## Question: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. {eq}f(x) = x^2 {/eq} if {eq}\ -1 \leq x \leq 0 \ \ {/eq}, {eq}7 - 8x \ \ {/eq} if {eq}\ \ 0...
2020-07-12T00:34:10
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https://byjus.com/question-answer/the-formula-for-a-compound-is-given-as-c-3-h-8-this-is-a-2/
Question The formula for a compound is given as  C3H8. This is a/an A Structural formula B Molecular formula C Empirical formula D Solution The correct option is A Molecular formula C3H8 is a molecular formula. As molecular formula states the number and type of atoms present in a molecule of a substance. C3H8...
2021-12-09T02:30:56
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https://stacks.math.columbia.edu/tag/0FN1
Lemma 7.28.6. Assume given sites $\mathcal{C}', \mathcal{C}, \mathcal{D}', \mathcal{D}$ and functors $\xymatrix{ \mathcal{C}' \ar[r]_{v'} \ar[d]_{u'} & \mathcal{C} \ar[d]^ u \\ \mathcal{D}' \ar[r]^ v & \mathcal{D} }$ Assume 1. $u$, $u'$, $v$, and $v'$ are cocontinuous giving rise to morphisms of topoi $f$, $f'$, $g$...
2023-03-29T17:14:18
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https://chemistry.stackexchange.com/questions/124723/tight-binding-model-for-nanoparticles-as-finite-systems
# Tight binding model for nanoparticles as finite systems I'm still trying to calculate the band structure ab initio for some hypothetical nanoparticles. It seems that I can directly build a tight-binding model by forming Bloch functions, numerically calculate the dispersion relation, and then apply Brus equation to g...
2021-06-14T08:31:19
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https://www.shaalaa.com/question-bank-solutions/mr-kumar-borrowed-rs-15000-two-years-rates-interest-two-successive-years-are-8-10-respectively-if-he-repays-rs-6200-end-first-year-find-outstanding-amount-end-second-year-concept-of-compound-interest-compound-interest-repeated-simple-interest-computation-growing-principal...
# Mr Kumar Borrowed Rs. 15000 for Two Years. the Rates of Interest for Two Successive Years Are 8% and 10% Respectively. If He Repays Rs. 6200 at the End of the First Year, Find the Outstanding Amount at the End of the Second Year. - Mathematics Mr Kumar borrowed Rs. 15000 for two years. The rates of interest for two ...
2022-05-17T10:08:16
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https://www.math.tifrbng.res.in/events/stabilization-of-a-rigid-body-moving-in-a-compressible-viscous-fluid
Personal tools Theme for TIFR Centre For Applicable Mathematics, Bangalore Navigation You are here: Home / Stabilization of a rigid body moving in a compressible viscous fluid # Stabilization of a rigid body moving in a compressible viscous fluid Arnab Roy, Université de Lorraine, Inria,Nancy France Speaker Arnab...
2019-12-06T01:13:00
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https://www.physicsforums.com/threads/particle-in-a-box-problem-please-help.311486/
## Homework Statement Assume we have an infinitely deep square well of length L, with the left edge of the well at -L/2. Assume U = 0 at the bottom and infinity at the top. A) Using the time independent Schrodinger Equation, derive the wave equation for a particle trapped in this well. Make sure your equation is prope...
2021-04-15T15:12:02
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https://www.physicsforums.com/threads/multiplication-of-vectors-with-a-vector-as-an-element.617437/
# Multiplication Of Vectors with a Vector As An Element 1. Jun 29, 2012 ### Fribbles Hi, If I have a vector c = [ a , 1 ]T where the element a is a vector. If I multiply c by its transpose: cTc is this defined? How do I calculate the a*a? Matrix multiplication rules would say that a * a is undefined because it is...
2017-08-18T12:56:17
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http://www.mathnet.ru/php/contents.phtml?wshow=issue&jrnid=jmag&series=0&year=2005&volume=12&volume_alt=&issue=1&issue_alt=&option_lang=eng
RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS Zh. Mat. Fiz. Anal. Geom.: Year: Volume: Issue: Page: Find 2005, Vol...
2020-04-07T23:53:46
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https://zuchongzhi.wordpress.com/2012/04/
# Quotation from “The marriage of heaven and hell” Those who restrain desire, do so because theirs is weak enough MHH5;   E34|        to be restrained; and the restrainer or reason usurps its place & MHH5;   E34|        governs the unwilling. MHH5;   E34|        And being restraind it by degrees becomes passive till i...
2017-12-18T04:49:49
{"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://math.stackexchange.com/questions/29517/problem-about-absolute-value
\begin{align*} |x|=x &\text{if }x\geq 0\\ |x|=-x &\text{if }x\lt 0. \end{align*} Show that $|xy|=|x||y|$. I try to prove it as follows: $|xy|=xy$ if $xy\geq 0$, but $xy\geq 0$ if and only if $x\geq 0$ and $y\geq 0$. Since $x\geq 0$ and $y\geq 0$, then $x=|x|$ and $y=|y|$ hence from $|xy|=xy$ we have $|xy|=|x||y|$. A...
2015-05-22T19:25:33
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https://fstaals.net/RedBlackTree.html
# A Red-Black Tree Implementation with Provable Properties We algorithms people usually go trough great lengths to prove properties of our algorithms, for example, that they are correct, and that they run in $$O(...)$$ time, etc. Unfortunately, we hardly ever implement our algorithms, and even if we implement them, we...
2021-07-25T03:39:20
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http://academic.research.microsoft.com/Publication/27598396/a-uniform-contraction-principle-for-bounded-apollonian-embeddings
## Keywords (4) Publications A uniform contraction principle for bounded Apollonian embeddings # A uniform contraction principle for bounded Apollonian embeddings,Loïc Dubois,Hans Henrik Rugh A uniform contraction principle for bounded Apollonian embeddings Let H denote the standard one-point completion of a real Hi...
2013-12-09T20:05:52
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https://www.physicsforums.com/threads/find-the-coefficient-of-kinetic-friction.1048504/
# Find the Coefficient of Kinetic Friction Argonaut Homework Statement: A steel washer is suspended inside an empty shipping crate from a light string attached to the top of the crate. The crate slides down a long ramp that is inclined at an angle of 37° above the horizontal. The crate has mass 180 kg. You are sitting...
2023-03-21T01:57:04
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https://www.gradesaver.com/textbooks/math/algebra/algebra-and-trigonometry-10th-edition/chapter-6-6-6-inverse-trigonometric-functions-6-6-exercises-page-485/77
## Algebra and Trigonometry 10th Edition $\arccos \dfrac{3}{\sqrt {x^2-2x+10}}=\arcsin \dfrac{|x-1|}{\sqrt {x^2-2x+10}}$ In order to compute the length of the opposite we will use the Pythagorean Theorem. Consider $\theta=\arccos \dfrac{3}{\sqrt {x^2-2x+10}}$ $h=\sqrt {x^2+y^2} \implies (\sqrt {x^2-2x+10})^2=\sqrt {(x...
2020-05-30T03:09:35
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https://wikimili.com/en/Tietze_extension_theorem
# Tietze extension theorem Last updated In topology, the Tietze extension theorem (also known as the Tietze–Urysohn–Brouwer extension theorem) states that continuous functions on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary. ## Formal statemen...
2022-10-01T15:10:22
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http://crypto.stackexchange.com/tags/one-way-function/new
Tag Info New answers tagged one-way-function 1 I'm answering the questions I posed. While cygnusv answer was correct for the idea I presented, it was not helpful to me as I had already identified and solved that issue, but failed to present the correct algorithm in my question. I'm not saying cygnusv is wrong; the a...
2016-02-10T10:51:10
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https://cri.hevra.haifa.ac.il/events/2014/david-herskovics
# David Herskovics ### Monday June 16 at 12:15 - Room 665, 6th floor. Our weekly CRI Graphs and Combinatorics Research Seminar will meet next week in its usual time and place -- Speaker: David Herskovics (Eotvos Lorand Univ., Hungary) <huncros@gmail.com> Title: Berge' path partition conjecture for $k geq \lambda-3$...
2021-10-15T19:30:09
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http://www.math.titech.ac.jp/~kotaro/publ-research-jp.html
## プレプリント • Analytic extension of exceptional constant mean curvature one elliptic catenoids in de Sitter 3-space, ## 出版予定 • Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space , preprint, arXiv:1509.05853 (19 Sept. 2015) , to appear in Osaka Journal of Mathematics. ## 出版済論文 • Mixe...
2019-02-16T02:25:21
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https://clarkgrubb.com/matrix-multiplication
If A is a matrix with dimensions m × r (m rows and r columns) and B is a matrix with dimensions r × n, then the product matrix C is defined and has dimensions m × n. The value of the entries of C are: (1) \begin{align} c_{ij} = \sum_{k=1}^r a_{ik} b_{kj} \end{align} # C If a language does not have support for two di...
2020-05-31T07:54:29
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https://electronics.stackexchange.com/questions/175400/question-about-transformer-reflected-source
# Question about transformer reflected source The following show the idea how a Thevenin equivalent source is used to replace the primary circuit of transformer. In textbook it is commonly stated that the load impedance sees an equivalent source and the open-circuit voltage is given by $V_{oc}=N\cdot V_1=N\cdot V_s$,...
2019-09-23T18:57:57
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https://logicpuzzle.jklatex.de/skyline
# logicpuzzle A LaTeX style file for typesetting logic puzzles skyline # Skyline ## The puzzle There are skyscrapers located in each cell. Try to find out the height of the skyscraper in the respective cell. There are heights of 1 to MAX in every row, every column, and in each of the two diagonals if indicated. So...
2019-06-17T19:23:08
{"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/2145983/minimize-pure-quadratic-subject-to-linear-equality-constraint
# Minimize pure quadratic subject to linear equality constraint The problem to solve is $\min_x \sum_i \sum_j C_{ij} x_i x_j$ $\,$ s.t. $\sum_i x_i = 1$. for $C$ a symmetric and positive semidefinite matrix. Or equivalently $\min_x x'Cx$ $\,$ s.t. $x'e = 1$. This feels similar to a quadratic minimization onto the ...
2019-10-19T20:11:17
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https://www.nature.com/articles/s41598-017-07704-9?error=cookies_not_supported&code=25995ca7-b11d-4843-9607-0218f53383df
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...
2022-08-11T10:02:02
{"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": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://mathhelpforum.com/calculus/199913-using-polar-coordinates-leaf-design.html
# Math Help - Using Polar coordinates for leaf design 1. ## Using Polar coordinates for leaf design I am looking for a polar coordinate equation that would develop this leaf design. I have come up with is r= 1 + sin(x) + sin(x)2 , where x = degrees in radians but, it does not give the pointy tail. Too circular (and ...
2016-05-05T14:52:08
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https://im.kendallhunt.com/HS/teachers/1/7/19/practice.html
# Lesson 19 ### Problem 1 1. The quadratic equation $$x^2 + 7x + 10 = 0$$ is in the form of $$ax^2 + bx + c = 0$$. What are the values of $$a$$, $$b$$, and $$c$$? 2. Some steps for solving the equation by completing the square have been started here. In the third line, what might be a good reason for multiplying each...
2023-02-01T03:35:56
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https://brilliant.org/discussions/thread/divisibility-practice/
# Divisibility Practice Prove that $$(2014!)!$$ is divisible by $$((2014 \cdot 2013)!)^{2012!}$$ Note by Pratik Shastri 3 years, 6 months ago MarkdownAppears as *italics* or _italics_ italics **bold** or __bold__ bold - bulleted- list • bulleted • list 1. numbered2. list 1. numbered 2. list Note: you must add a full...
2018-06-21T22:14:07
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https://www.physicsforums.com/threads/how-to-derive-formula-for-capacitance-of-spherical-capacitor.850826/
# How to derive formula for capacitance of spherical capacitor 1. Jan 4, 2016 ### Dexter Neutron Please explain in detail how to derive formula for capacitance of spherical capacitor? 2. Jan 4, 2016 ### ehild Start with the concept of capacitance: stored charge over potential difference. A single metal sphere of ...
2017-10-19T22:41:39
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https://homework.cpm.org/category/MN/textbook/cc3mn/chapter/5/lesson/5.1.1/problem/5-8
### Home > CC3MN > Chapter 5 > Lesson 5.1.1 > Problem5-8 5-8. Graph the lines $y=−4x+3$ and $y=x−7$ on the same set of axes. Then find their point of intersection. Use the points below to help graph the given lines. Where do the two lines cross? Use the eTool below to graph the lines. Click the link at right for t...
2021-09-28T23:35:52
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http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2014_v51n5_919
DISJOINT CYCLES WITH PRESCRIBED LENGTHS AND INDEPENDENT EDGES IN GRAPHS Title & Authors DISJOINT CYCLES WITH PRESCRIBED LENGTHS AND INDEPENDENT EDGES IN GRAPHS Wang, Hong; Abstract We conjecture that if $\small{k{\geq}2}$ is an integer and G is a graph of order n with minimum degree at least (n+2k)/2, then for any k ...
2017-11-21T19:01:09
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https://ebookreading.net/view/book/EB9780135116821_25.html
• Search in book... • Toggle Font Controls ## 7. Artificial Neural Networks In Chapter 6, we examined the intricacies of artificial neurons. The theme of the current chapter is the natural extension of that: We cover how individual neural units are linked together to form artificial neural networks, including deep le...
2023-03-27T01:19:12
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https://chemistry.stackexchange.com/questions/35165/mechanism-and-type-of-polymerization-of-chloroethene
Mechanism and type of polymerization of chloroethene Ethene reacts with hydrogen chloride to form a monomer used in the production of a polymer. This monomer is chloroethene. My questions are: (1) How is the polymer formed from the monomer? and (2) Is this an addition or a condensation polymerization? • First, I ...
2020-10-25T22:53:11
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https://www.ias.ac.in/listing/bibliography/pram/Hassan_Amirhashchi
• Hassan Amirhashchi Articles written in Pramana – Journal of Physics • String cosmology in LRS Bianchi type-II dusty Universe with time-decaying vacuum energy density 𝛬 A model of a cloud formed by massive strings is used as a source of LRS Bianchi type-II with time-decaying vacuum energy density 𝛬. To construct ...
2023-02-01T12:46:18
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https://optimization.mccormick.northwestern.edu/index.php?title=Adaptive_robust_optimization&diff=prev&oldid=3009
# Difference between revisions of "Adaptive robust optimization" Author: Woo Soo Choe (ChE 345 Spring 2015) Steward: Dajun Yue, Fengqi You ## Introduction Traditionally, robust optimization has solved problems based on static decisions which are predetermined by the decision makers. Once the decisions were made, the...
2021-12-05T20:51:27
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https://pytorch.org/docs/stable/generated/torch.fft.fft2.html
# torch.fft.fft2¶ torch.fft.fft2(input, s=None, dim=(- 2, - 1), norm=None, *, out=None) Computes the 2 dimensional discrete Fourier transform of input. Equivalent to fftn() but FFTs only the last two dimensions by default. Note The Fourier domain representation of any real signal satisfies the Hermitian property: X...
2022-12-10T05:14:01
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https://mail.queryxchange.com/q/20_323250/triangle-inequality-with-random-variables/
# triangle inequality with random variables by axk   Last Updated January 15, 2018 21:19 PM Suppose $a$ and $b$ are real numbers (positive in my case), $X$ is a random variables and $F$ is a set of function. Are the following true? 1. $|a-b| \le E_X|a-X|+E_X|X-b|$ 2. $|a-b| \le E_X [\inf_{f\in F} (|a-f(X)| + |f(X)-...
2018-02-17T19:34:03
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http://mathhelpforum.com/statistics/176862-need-help-continuous-probability-distributions.html
# Math Help - Need help with Continuous probability Distributions 1. ## Need help with Continuous probability Distributions Hi there. I really need help with these questions: use the standard normal table to find following probabilities a. P(Z is greater than or equal to 1.7) b. P(Z is greater than or equal to -0....
2016-07-25T22:51:37
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