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http://mathhelpforum.com/discrete-math/111746-proving-equivalence-classes-bijective-set-points-unit-circle.html
# Math Help - Proving equivalence classes bijective to the set of points on the unit circle 1. ## Proving equivalence classes bijective to the set of points on the unit circle Define a relation on R as follows. Two real numbers $x, y$ are equivalent if $x - y$ $\epsilon Z$ . Show that the set of equivalence classes o...
2016-07-25T14:08:58
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http://mathhelpforum.com/geometry/183257-calculating-distance-between-2-circles.html
# Thread: Calculating Distance between 2 circles 1. ## Calculating Distance between 2 circles The answer right below the question is the answer, but I am unsure as to why we are dividing the entire problem by 2 2. ## Re: Calculating Distance between 2 circles Originally Posted by KingNathan The answer right below t...
2018-01-22T06:25:00
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https://testbook.com/question-answer/find-the-values-of-y-for-which-the-distance-betwee--6102884ecccff30b8d8da959
# Find the values of y for which the distance between the points P (2, -3) and Q (10, y) is 10 units. This question was previously asked in Territorial Army Paper I : Official Practice Test Paper - 3 View all Territorial Army Papers > 1. (0, 2) 2. (2, 3) 3. (4, 6) 4. (3, -9) Option 4 : (3, -9) ## Detailed Solution ...
2022-01-27T23:15:45
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https://www.global-sci.org/intro/article_detail/getBib?article_id=4603
@Article{ATA-27-309, author = {}, title = {The Boundedness of Toeplitz-Type Operators on Vanishing-Morrey Spaces}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {4}, pages = {309--319}, abstract = { In this note, we prove that the Toeplitz-type Operator $\Theta_\alpha^b$ gener...
2022-07-07T13:24:36
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https://gateoverflow.in/808/gate2002-1-4
2.5k views The minimum number of colours required to colour the vertices of a cycle with $n$ nodes in such a way that no two adjacent nodes have the same colour is 1. $2$ 2. $3$ 3. $4$ 4. $n-2 \left \lfloor \frac{n}{2} \right \rfloor+2$ retagged | 2.5k views 0 plz someone explain clearly..... +1 Chromatic number wil...
2019-06-18T22:52:56
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https://ask.sagemath.org/answers/39547/revisions/
# Revision history [back] This is not a satisfactory answer... but anyway: The integrals you are trying to compute are expressible in terms of the error function. For some reason that I do not know (and should be investigated), SageMath is unable to correctly compute the error function for large values, when this erro...
2020-11-24T10:19:34
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http://blog.csdn.net/u011475681/article/details/46809479
# Count and Say The count-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, ... 1 is read off as "one 1" or 11. 11 is read off as "two 1s" or 21. 21 is read off as "one 2, then one 1" or 1211. Given an integer n, generate the nth sequence. Note: The sequence of integers wi...
2017-10-20T16:44:32
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https://people.maths.bris.ac.uk/~matyd/GroupNames/192/C8xSL(2,3).html
Copied to clipboard ## G = C8×SL2(𝔽3)  order 192 = 26·3 ### Direct product of C8 and SL2(𝔽3) Series: Derived Chief Lower central Upper central Derived series C1 — C2 — Q8 — C8×SL2(𝔽3) Chief series C1 — C2 — Q8 — C2×Q8 — C4×Q8 — C4×SL2(𝔽3) — C8×SL2(𝔽3) Lower central Q8 — C8×SL2(𝔽3) Upper central C1 — C2×C8...
2021-12-06T17:21:20
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https://a.tellusjournals.se/articles/10.3402/tellusa.v65i0.19546/
A- A+ Alt. Display # Data assimilation with correlated observation errors: experiments with a 1-D shallow water model ## Abstract Remote sensing observations often have correlated errors, but the correlations are typically ignored in data assimilation for numerical weather prediction. The assumption of zero correlat...
2022-10-07T07:01:34
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https://www.hackmath.net/en/math-problem/8841?tag_id=36
# Copper sulphate How much g of water do we have to add to 240 g of an 84% CuSO4 solution to produce a 60% solution? (Express the mass of crystalline CuSO4 in the original solution and in the resulting solution and compare them. ) Result w =  96 g m1 =  201.6 g m2 =  201.6 g #### Solution: 0.84*240 = 0.60 *(240+w)...
2019-12-08T10:57:16
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https://kb.osu.edu/dspace/handle/1811/17013
Line Positions and Strengths of HDO and $D_{2}O$ in the (010) and (020) - (010) bands Please use this identifier to cite or link to this item: http://hdl.handle.net/1811/17013 Files Size Format View 1986-RF-04.jpg 61.61Kb JPEG image Title: Line Positions and Strengths of HDO and $D_{2}O$ in the (010) and (020) - (0...
2015-08-02T04:17:57
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https://www.physicsforums.com/threads/analytic-mapping-from-disk-to-disk-must-be-rational.673683/
# Analytic mapping from disk to disk must be rational 1. Feb 22, 2013 ### Grothard Let f(x) be a function which is defined in the open unit disk (|z| < 1) and is analytic there. f(z) maps the unit disk onto itself k times, meaning |f(z)| < 1 for all |z| < 1 and every point in the unit disk has k preimages under f(z)...
2018-07-20T15:31:03
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http://mathhelpforum.com/differential-geometry/186811-show-caratheodory-constructed-measurable-set-almost-underlying-algebra.html
Show a Carathéodory-constructed measurable set is almost in the underlying algebra This is easy to do for finite-measure sets, but for the infinite case I can't seem to get a solution... Let $\mathcal{A}$ be an algebra of subsets of $X$ (i.e. closed under FINITE unions and intersections, and complements, with $\empty...
2016-02-14T21:40:33
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http://gasturbinespower.asmedigitalcollection.asme.org/article.aspx?articleid=1690437
0 Research Papers: Gas Turbines: Combustion, Fuels, and Emissions # Nonlinear Phenomena in Thermoacoustic Systems With Premixed Flames [+] Author and Article Information Karthik Kashinath Engineering Department, University of Cambridge, Cambridge CB2 1PZ, UK e-mail: kk377@cam.ac.uk Santosh Hemchandra Institute of ...
2017-10-21T06:37:21
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https://hamrocsit.com/question/4427/
# Compute percentile coefficient of kurtosis from the following data and interpret the result. Hourly wages (Rs) 23-27 28-32 33-37 38-42 43-47 48-52 Number of workers 22 16 9 4 3 1 Solution: x f cf 23-27 22 22 28-32 16 38 33-37 9 47 38-42 4 51 43-47 3 54 48-52 1 55 N = 55 Now, Calculating P75: P75 = $$75 \left ( ...
2022-12-01T06:15:04
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https://quant.stackexchange.com/questions/68000/annualization-of-discrete-returns
# Annualization of discrete returns There is a well known approach to annualize volatility of log-returns for a given frequency. Let $$P(t)$$ a price process and define a log return $$r_l(t)$$ as $$r_l(t) = \ln \left( \frac{P(t)}{P(t-1)} \right).$$ An aggregate return over $$n$$ periods is \begin{aligned} r_l^A(t) &=...
2022-01-18T16:53:05
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https://zbmath.org/?q=an:1083.11073
zbMATH — the first resource for mathematics On Fitting ideals of certain étale $$K$$-groups. (English) Zbl 1083.11073 The author computes the first Fitting ideal of $$K^{\text{ét}}_{2i-2} (O^S_F) (\phi)$$, showing it is principal and generated by a Brumer-Stickelberger element, where $$O^S_F$$ is the $$S$$-integer rin...
2022-01-21T22:53:45
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http://www.ck12.org/book/Geometry---Second-Edition/r1/section/4.3/
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" /> # 4.3: Triangle Congruence using SSS and SAS Difficulty Level: At Grade Created by: CK-12 ## Learning Objectives • Use the distance formula to analyze triangles on the \begin{align*}x-...
2017-03-29T23:08:20
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https://en.wikipedia.org/wiki/Log_wind_profile
Log wind profile The log wind profile is a semi-empirical relationship commonly used to describe the vertical distribution of horizontal mean wind speeds within the lowest portion of the planetary boundary layer. The relationship is well described in the literature.[1] The logarithmic profile of wind speeds is genera...
2019-01-16T23:08:08
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https://mathoverflow.net/questions/313822/numerical-solution-of-two-coupled-nonlinear-eigenvalue-problems
# Numerical solution of two coupled nonlinear eigenvalue problems I would like to numerically solve the following system of coupled nonlinear differential equations: $$-\frac{\hbar^2}{2m_a} \frac{\partial^2}{\partial x^2}\psi_a + V_{ext}\psi_a + \left( g_a |\psi_a|^2 + g_{ab} |\psi_b|^2 \right)\psi_a = \mu_a \psi_a$$...
2019-01-18T16:46:17
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https://solvedlib.com/erica-39-kg-and-danny-46-kg-are-bouncing-on-a,192203
# Erica (39 kg ) and Danny (46 kg ) are bouncing on a trampoline. Just as... ###### Question: Erica (39 kg ) and Danny (46 kg ) are bouncing on a trampoline. Just as Erica reaches the high point of her bounce, Danny is moving upward past her at 4.1 m/s . At that instant he grabs hold of her. Part A What is their spe...
2023-03-24T23:08:26
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http://mathhelpforum.com/calculus/114496-differentiation.html
1. ## Differentiation I need some help with this problem (please don't give me the answer though, just hint me) suppose the function g is defined by k sqrt(X+1) for 0<(including) x<(including) 3 g(X)=< mX+2 for 3<x<(including) 5 where k and m are constants. if g is differentiable at x=3, what are the values of k an...
2016-08-24T03:44:57
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http://www.gradesaver.com/textbooks/math/calculus/calculus-early-transcendentals-8th-edition/chapter-2-section-2-7-derivatives-and-rates-of-change-2-7-exercises-page-149/20
# Chapter 2 - Section 2.7 - Derivatives and Rates of Change - 2.7 Exercises: 20 The equation of the tangent line $l$ is $$(l): y=4x-23$$ #### Work Step by Step According to definition, the slope of the tangent line $l$ to the graph of $y=g(x)$ at $x=5$ is the derivative of $g(x)$ at $x=5$, or in other words, $g'(5)$...
2018-01-22T10:47:04
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https://ebin.pub/an-introduction-to-programming-and-numerical-methods-in-matlab-9781852339197.html
##### Citation preview S.R. Otto and J.P. Denier An Introduction to Programming and Numerical Methods in MATLAB With  Figures S.R. Otto, BSc, PhD The R & A St Andrews Fife KY16 9JD Scotland J.P. Denier, BSc (Hons), PhD School of Mathematical Sciences The University of Adelaide South Australia 5005 Australia Brit...
2022-05-19T20:42:57
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https://www.physicsforums.com/threads/riemann-zeros-and-harmonic-frequencies.171155/
# Riemann Zeros and Harmonic Frequencies 1. May 21, 2007 ### overlook1977 Can someone elaborate on the relationship of the Riemann zeros and primes? How are the zeros harmonic to the primes? The quotes below mention the 'sum of its complex zeros' and 'other sums over prime numbers'. Can someone clarify this? "The z...
2017-09-21T19:57:11
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http://mathonline.wikidot.com/the-product-of-riemann-stieltjes-integrable-functions-with-i
The Product of R-S Integrable Functions with Increasing Integrators # The Product of Riemann-Stieltjes Integrable Functions with Increasing Integrators Recall from The Squares of Riemann-Stieltjes Integrable Functions with Increasing Integrators page that if $f$ is a function defined on $[a, b]$ and $\alpha$ is an in...
2023-03-21T23:38:10
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https://math.stackexchange.com/questions/4003682/computing-turning-number-of-closed-curve/4004145
Computing turning number of closed curve I'm trying to compute the turning number of a closed plane curve, which should be a really straight forward computation. But my result is not a whole number, i.e. the total curvature is not a multiple of $$2\pi$$, which is impossible so I'm making a mistake somewhere. I know fr...
2021-06-14T08:21:57
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https://brilliant.org/problems/what-is-pi-doing-here/
# What is $$\pi$$ doing here? Calculus Level 4 $\lim_{n \to \infty} 2^{n+\frac{5}{2}} \sqrt{3-\sqrt{3+3T_{n}}}$ Define a sequence $$T$$ with $$n^\text{th}$$ term $$T_{n}$$ such that $$T_{0} = 0$$ and $$T_{n} = \sqrt{2+T_{n-1}}$$. Then evaluate the limit above. ×
2017-03-24T22:09:18
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http://www.math.u-szeged.hu/mathweb/index.php/hu/component/jevents/icalrepeat.detail/2018/04/09/1336/-/sergei-kalmykov-fefu-removable-sets-on-the-complex-plane?Itemid=110
Év szerint Hónap szerint Ugrás a hónaphoz ## Sergei Kalmykov (FEFU): Removable sets on the complex plane Hétfő, 9. Április 2018, 19:00 - 20:00 Abstract. We consider the subsets of metric spaces that are negligible for the infimal length of connecting curves, such sets are called metrically removable. In particular, ...
2022-01-20T18:17:27
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http://math.stackexchange.com/questions/57663/normalizer-vs-centralizer
# Normalizer vs Centralizer In Group Theory, what is the difference between a normalizer and a centralizer of a set S? I'm having a bit of difficulty understanding it... - Have you looked at the Wikipedia page centralizer and normalizer? If so, can you specify what it is that you don't understand from the page? – Zev...
2016-06-28T06:32:55
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https://colour.readthedocs.io/en/develop/colour.biochemistry.html
# Biochemistry¶ ## Michaelis–Menten Kinetics¶ colour.biochemistry REACTION_RATE_MICHAELISMENTEN_METHODS Supported Michaelis-Menten kinetics reaction rate equation computation methods. SUBSTRATE_CONCENTRATION_MICHAELISMENTEN_METHODS Supported Michaelis-Menten kinetics substrate concentration equation computation met...
2021-08-04T01:57:48
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https://zbmath.org/?q=an%3A0133.26502
## Homology.(German)Zbl 0133.26502 Die Grundlehren der mathematischen Wissenschaften. Bd. 114. Berlin-Göttingen-Heidelberg: Springer-Verlag. x, 522 pp. with 7 fig. (1963). Homological algebra was extracted from its surrounding mathematical milieu by H. Cartan and S. Eilenberg [Homological Algebra. Princeton: Princeton...
2022-08-09T13:45:50
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https://tex.stackexchange.com/questions/486136/let-latex-decide-where-to-place-figures
# Let LaTeX decide where to place figures There are too many posts that complains LaTeX is not doing a good enough job in placing floats such as figures, and ways to work around them ([!htbp], \usepackage{float}, etc.). Upon curiosity I cannot help thinking it the other way around. If I am satisfied with the mechanism...
2019-10-21T17:23:06
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http://physics.stackexchange.com/questions/47905/guage-invariance-in-laughlins-argument
# guage invariance in Laughlin's argument In Laughlin's gedanken experiment which aims to explain quantization of Hall conductance, one takes the adiabatic derivative of the Hamiltonian with respect to vector potential. Now it seems that it is claimed that flux change by a flux quantum would leave the Hamiltonian unch...
2013-05-19T06:21:18
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http://math.stackexchange.com/questions/162154/what-are-your-favorite-integration-tricks/162269
# What are your favorite integration tricks? I'm learning to integrate and I'd like to hear what are you favorite integration tricks? I can't contribute much to this thread, but I like the fact that: $$\int_{-a}^{a}{f(x)}dx=0 \space\text{if}\space f(x) \space\text{is odd}$$ - Perhaps this need to be CW. –  Joe Jun ...
2015-05-30T13:02:32
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https://chemistry.coach/general-chemistry-2/chemical-calculations/exercise/381
Exercise 2 | Chemical Calculations Here is a chemical reaction: 2 C6H6 + 15 O2 → 12 CO2 + 6 H2O How many grams of CO2 are produced when 56 x 1015 molecules of C6H6 react? From the chemical equation: 12 moles of CO2 are produced for 2 moles of C6H6. $\frac{{\mathrm{n}}_{\mathrm{CO}2}}{12}$ = $\frac{{\mathrm{n}}_{\ma...
2021-07-27T15:13:14
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https://brilliant.org/discussions/thread/strange-moving-rhombus/
× # Strange moving Rhombus The given construction as shown in figure consists of two rhombus with the ratio $$3 : 2$$. the vertex $$A_2$$ moves in the horizontal direction with a velocity $$v$$. Find the velocity of $$A_1$$. Help me with this one The answer is $$0.6 v$$ 2 years, 6 months ago Sort by: Let's take ...
2017-01-20T08:13:16
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https://representationtheory.science.unimelb.edu.au/representation-theory-seminar-2020-semester-1/
# Representation theory seminar 2020 Semester 1 Organisers: Gufang Zhao, Ting Xue Time: Tuesdays 3:15-5:15pm Location: Peter Hall Room 107 (Online from March 31) June 9, Sasha Garbali (Melbourne) Title: The Fock R-matrix of the quantum toroidal $\mathfrak{gl}_1$ Abstract: The quantum toroidal $\mathfrak{gl}_1$ al...
2021-01-25T16:33:55
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http://www.mathworks.com/help/phased/ref/phased.cosineantennaelement-class.html?requestedDomain=www.mathworks.com&nocookie=true
# phased.CosineAntennaElement System object Package: phased Cosine antenna element ## Description The `CosineAntennaElement` object models an antenna with a cosine response in both azimuth and elevation. To compute the response of the antenna element for specified directions: 1. Define and set up your cosine ante...
2016-08-29T06:06:43
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http://bgmrodotec.com.br/76zix/276b4b-inverse-of-kronecker-sum
There is Kronecker product but there is no Kronecker sum? In what follows, let , , and denote matrices whose dimensions can be arbitrary unless these matrices need to be multiplied or added together, in which case we require that they be conformable for addition or multiplication, as needed. Keywords: Hadamard (Schur) ...
2021-09-21T08:27:38
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https://cs.stackexchange.com/questions/76406/why-is-l-langle-m-rangle-mid-lm-geq-k-not-recognizable
# Why is $L=\{\langle M \rangle \mid |L(M)| \geq k\}$ not recognizable? Here $M$ denotes a turing machine. By set theory, $L = \overline{E_{TM}} \cap \overline{L_0} \cap \overline{L_1}$ where $L_i=\{\langle M \rangle \mid |L(M)|=i\}$. And I know that $\overline{E_{TM}}$ is recognizable. That is about all I know at t...
2019-09-20T16:58:18
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https://math.stackexchange.com/questions/1286032/proving-simple-trigonometric-identity
# Proving simple trigonometric identity I need help with this one $$\frac{\sin^2 \alpha}{\sin\alpha - \cos\alpha} + \frac{\sin\alpha + \cos \alpha}{1- \mathrm{tan}^2\alpha} - \cos\alpha = \sin \alpha$$ I tried moving sin a on the other side of the eqation $$\frac{\sin^2 \alpha}{\sin\alpha - \cos\alpha} + \frac{\sin\a...
2019-05-25T11:01:55
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http://physics.stackexchange.com/questions/14276/why-cant-quantum-teleportation-be-used-to-transport-information/14285
# Why can't quantum teleportation be used to transport information? Kaku Michio says in an interview that we've teleported photons, cesium atoms and beryllium atoms. Having watched a lot of Kaku as well as way too many astrophysics documentaries in general, I know he's exaggerating. From what I understand, some state ...
2015-12-01T00:30:53
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http://hal.in2p3.fr/in2p3-00407985/fr/
Accéder directement au contenu Accéder directement à la navigation # Test of Lorentz invariance with spin precession of ultracold neutrons Abstract : A clock comparison experiment, analyzing the ratio of spin precession frequencies of stored ultracold neutrons and $^{199}$Hg atoms is reported. %57 No daily variation ...
2020-07-02T15:07:41
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https://oeis.org/wiki/Euclidean_domains
This site is supported by donations to The OEIS Foundation. # Euclidean domains Jump to: navigation, search This article is under construction. Please do not rely on any information it contains. This article page is a stub, please help by expanding it. A given ring ${\displaystyle R}$ is a Euclidean domain with r...
2020-10-27T03:33:58
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http://www.barth-dev.de/knowledge-corner/digital-design/introduction/
# Introduction Example 1: Factural Digital Architectures are digital circuits that implement an algorithm in hardware. We have different representation forms for digital architectures. ###### Circuit Schematics Gates, functional blocks, wires etc. can be used in the design stage and for maintenance as they provide ...
2017-09-19T20:40:07
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http://codex.cs.bham.ac.uk/rs_faq/index.php/Lyx
# Lyx Lyx is a kind of graphical front-end to LaTeX. This means you • Can read your document as you write it, rather than having to decode lots of formatting tags in your head. • Don't have to learn hundreds of obscure tags. • Can see what equations look like as you write them. The authors describe it as WYSIWYM, Wh...
2017-06-28T08:44:05
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http://mathhelpforum.com/calculus/152697-optimization-problem.html
1. ## Optimization Problem If 1200 sq. cm of material is available to make a box with a square base and an open top, find the largest possible volume of the box. I understand the basics of how these problems work, but applying that is difficult. Do I start with V= xy or something similar? 2. Originally Posted by bob...
2017-05-27T17:47:46
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https://brilliant.org/problems/parametric-acceleration/
# Parametric acceleration Calculus Level 2 A particle has position $$\vec{r} = (\frac13t^3 - t, \frac12t^2 + 3t-1, t^2).$$ What is the magnitude of its acceleration at $$t=1?$$ ×
2017-07-24T20:55:16
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https://ximera.osu.edu/mooculus/calculus2/remainders/digInRemaindersGeometricAndTelescoping
For a convergent geometric series or telescoping series, we can find the exact error made when approximating the infinite series using the sequence of partial sums. We’ve seen that if we have a convergent series , we can approximate its value by summing only finitely many of its terms. For instance if we consider $\s...
2019-11-16T02:28:00
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https://mathspp.com/blog/problems
Problems Blog posts with problems to get your brain going! You get a new problem every fortnight and the solutions are published later. If you want the problems delivered to your inbox be sure to subscribe to the Problems newsletter. The next problem is scheduled for Sunday, 27th of June. You may notice some proble...
2021-06-20T11:50:26
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https://www.physicsforums.com/threads/radius-of-convergence-of-power-series-anx-n-2.593224/
# Homework Help: Radius of Convergence of power series anx^n^2 1. Apr 3, 2012 ### looserlama 1. The problem statement, all variables and given/known data Suppose that the power series $\sum$anxn for n=0 to n=∞ has a radius of convergence R$\in$(0,∞). Find the radii of convergence of the series $\sum$anxn2 from n=0 ...
2018-05-25T17:02:13
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https://www.helpteaching.com/lessons/1381/velocity
• ### Browse All Lessons ##### Assign Lesson Help Teaching subscribers can assign lessons to their students to review online! Tweet # Velocity This lesson aligns with Next Generation Science Standards (NGSS) PS2.A Introduction Velocity is the directional speed of an object to describe its motion. Both speed and ...
2023-03-26T21:38:41
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https://search.datacite.org/works/10.3204/DESY-PROC-2012-02/166
### Z+jets Results from CDF. Lorenzo Ortolan The CDF collaboration has an interesting and comprehensive program on the study of jet production in association with a $Z/\gamma^{*}$ boson. T These measurements are important because $Z/\gamma^{*}+$jets events are a background in many searches of new physics and in partic...
2018-07-16T01:16:40
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https://fykos.org/year28/serial/start
# Serial of year 28 You can find the serial also in the yearbook. We are sorry, this serial has not been translated. ## Tasks ### (6 points)1. Series 28. Year - S. Unsure • Write down the equations for a throw in a homogeneous gravitational field (you don't need to prove them but you need to know how to use them)....
2019-06-18T03:07:03
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https://www.physicsforums.com/threads/gauss-law-ap-problem.223646/
# Gauss' Law AP Problem 1. Mar 22, 2008 1 A solid metal sphere of radius R has charge +2Q. A hollow spherical shell of radius 3R placed concentric with the first sphere has net charge -Q. a) Describe the electric field lines both inside and outside the spheres. b) Use Gauss' law to find an expression for the magnitud...
2018-01-17T03:07:27
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https://www.aimsciences.org/article/doi/10.3934/dcds.2016.36.451
# American Institute of Mathematical Sciences January  2016, 36(1): 451-467. doi: 10.3934/dcds.2016.36.451 ## Eliminating restrictions of time-delayed feedback control using equivariance 1 Institut für Mathematik, Freie Universität Berlin, 14195 Berlin, Germany, Germany Received  June 2014 Revised  May 2015 Publis...
2019-08-25T02:15:14
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https://math.stackexchange.com/questions/1386629/this-is-just-the-eilenberg-moore-category-right
# This is just the Eilenberg-Moore category, right? Let $F$ denote a monad on $\mathbf{Set}$. Write $\mathbf{Set}_F$ for the corresponding Kleisli category and $\mathbf{Set}^F$ for the Eilenberg-Moore category. On the train home today, it occured to me that functors $\mathbf{Set}_F^{\mathrm{op}} \rightarrow \mathbf{Se...
2019-04-22T22:05:54
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https://physics.stackexchange.com/questions/386332/analytical-solution-for-a-gaussian-wave-packet-free-particle
# Analytical solution for a Gaussian wave packet / free particle Is there any closed formula for the time-dependent gaussian wave packet? $$\Psi(x,0) = \frac{1}{ \sqrt[4]{ 2 \pi {\sigma_x}^2 }} \exp \left( i k_0 x - \frac{{\left( x - x_0 \right)}^2}{4 {\left(\sigma_x \right)}^2} \right)$$ $$\Psi(x,t) = ?$$ I found ...
2019-10-15T09:37:58
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https://www.toppr.com/guides/physics-formulas/electric-field-formula/
# Electric Field Formula An electric field is surrounding an electric charge and also exerting force on other charges in the field at the same time. It is either attracting or repelling them. The electric field is many times abbreviated as E-field. The electric field is defined mathematically like a vector field that ...
2021-10-17T10:03:13
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https://stats.stackexchange.com/questions/341458/generate-random-variable-with-given-moments
# Generate random variable with given moments I know first $N$ moments of some distribution. I also know that my distribution is continuous, unimodal and well shaped (it looks like gamma-distribution). Is it possible to: 1. Using some algorithm, generate samples from this distribution, which in limit conditions will ...
2021-09-29T03:09:06
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http://clay6.com/qa/38958/on-heating-water-bubbles-being-formed-at-the-bottom-of-the-vessel-detatch-a
On heating water, bubbles being formed at the bottom of the vessel detatch and rise . Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel . If r << R , and the surface tension of water is T , value of r just before bubbles detatch is : (density of water is ...
2017-08-23T23:19:03
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https://leanprover-community.github.io/archive/stream/113489-new-members/topic/not.20p.20versus.20p.20implies.20false.html
Stream: new members Topic: not p versus p implies false Michael Beeson (Sep 10 2020 at 04:40): I thought not p and p-> false were the same. But: If I do have h30: ¬ (c ∈ p):= λ h, (h3 (h29 h)), I get h30: ¬ (c ∈ p) but if I do have h30 := λ h, (h3 (h29 h), I get h30: p -> false. What's up with that? (This is not mea...
2021-05-14T05:11:06
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https://www.britannica.com/science/orbit-astronomy
Orbit astronomy Orbit, in astronomy, path of a body revolving around an attracting centre of mass, as a planet around the Sun or a satellite around a planet. In the 17th century, Johannes Kepler and Isaac Newton discovered the basic physical laws governing orbits; in the 20th century, Albert Einstein’s general theory...
2017-01-20T12:30:15
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http://mathhelpforum.com/calculus/138401-length-line.html
# Math Help - length of a line 1. ## length of a line Find the length of the line of $y = \frac {2}{3} x^\frac {3}{2}$ from x=0 to x=2 i used the formula, i dont know if i was supposed to use u substitution, but i got $2 \sqrt{3}$ 2. Originally Posted by >_<SHY_GUY>_< Find the length of the line of $y = \frac {2}{3...
2014-07-26T08:17:30
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https://planetmath.org/PrimePartition
# prime partition A is a partition (http://planetmath.org/IntegerPartition) of a given positive integer $n$ consisting only of prime numbers. For example, a prime partition of 42 is 29 + 5 + 5 + 3. If we accept partitions of length 1 as valid partitions, then it is obvious that only prime numbers have prime partition...
2021-01-28T04:52:34
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https://nomanslambda.com/checking-palindromes-with-math/
Palindromes are common topic when it comes to questions or exercises in computer science. For instance, they can be found in several exercises of Project Euler. In the English language, palindromes are used to define both symmetrical words and numbers. However, this post will focus on numbers only. ## Using stringifi...
2020-04-05T07:39:22
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http://openstudy.com/updates/50a563dee4b0329300a8eeb3
Here's the question you clicked on: ## lornbeach Group Title Simplify the given expression: one year ago one year ago • This Question is Closed 1. lornbeach 2. maym0Re97 i7/1+9i 3. lornbeach thats not an answer choice 4. maym0Re97 What are the choices? 5. lornbeach 7+7i/2 63+7i/82 -7+7i/2 -63+7i/82 6. Hero ...
2014-10-25T01:28:14
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http://itensor.org/docs.cgi?page=formulas/excited_dmrg
## Learn to Use ITensor main / formulas / excited_dmrg # Compute excited states with DMRG ### Example code: #include "itensor/all.h" using namespace itensor; int main() { int N = 100; // // Initialize the site degrees of freedom. // auto sites = SpinHalf(N); //make a chain of N spin 1/2's //Transverse field Rea...
2017-09-21T03:15:12
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http://www.physicsforums.com/showthread.php?t=63258
# Pump by Yegor Tags: pump P: 149 Air pump is pumping out a gas from a vessel (vessel's volume is V). After each cycle i it pumps out dV. Gas is ideal. T=Const. After how much cycles pressure P will decrease k times? Here is my work. PV = nRT Initially n=n(0) After each cycle n decreases (1-dV/V) times. So, after x c...
2014-04-16T07:32:44
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https://zbmath.org/?q=an:0855.58049
# zbMATH — the first resource for mathematics Holomorphic dynamical systems on manifolds. (Sistemas dinamicos holomorfos en superficies.) (Spanish) Zbl 0855.58049 Aiming at the description of global properties of solutions of holomorphic dynamical systems on compact surfaces, this paper follows ideas of Il’yashenko’s ...
2021-01-25T11:50:23
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http://openstudy.com/updates/4db043a2d6938b0b6a98ab4d
## anonymous 5 years ago The velocity function is v(t) = t^2 - 6 t + 8 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-1,5]. what is the displacement 1. anonymous Uh don't you have some sort of initial condition in the question? Otherwise ...
2017-01-22T08:50:26
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http://qudt.org/vocab/quantitykind/LandeGFactor
quantitykind:LandeGFactor Type Description Properties The "Lande g-Factor" is a particular example of a g-factor, namely for an electron with both spin and orbital angular momenta. It is named after Alfred Landé, who first described it in 1921. $$g = \frac{\mu}{J\mu_B}$$, where $$\mu$$ is the magnitude of magnetic di...
2021-12-07T21:05:59
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http://math.stackexchange.com/questions/857406/projecting-self-adjoint-operator-onto-closed-subspace
# Projecting self-adjoint operator onto closed subspace Let $H$ be a complex Hilbert space and let $(Q, D(Q))$ be a closed, densely defined, positive semidefinite, Hermitian quadratic form on $H$. (That is, $D(Q)$ is a dense subspace of $H$, $Q$ maps $D(Q) \times D(Q)$ to $\mathbb{C}$, $Q$ is linear in its first vari...
2015-01-27T17:33:17
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http://hima.trattoriaborgo.it/sklearn-nonlinear-regression.html
# Sklearn Nonlinear Regression Statistics >Categorical outcomes >Multinomial logistic regression Description mlogit fits maximum-likelihood multinomial logit models, also known as polytomous logis-tic regression. datasets import load_concrete from yellowbrick. In Azure Machine Learning, regression models support a sing...
2020-11-29T04:43:52
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https://www.aimsciences.org/article/doi/10.3934/cpaa.2014.13.961
# American Institute of Mathematical Sciences March  2014, 13(2): 961-975. doi: 10.3934/cpaa.2014.13.961 ## Periodic solutions of the Brillouin electron beam focusing equation 1 Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 1, 60131, Ancona, I...
2020-12-01T21:55:01
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https://arbital.greaterwrong.com/p/most_complexity_incompressible?l=4v5
# Most complex things are not very compressible Although the halt­ing prob­lem means we can’t prove it doesn’t hap­pen, it would nonethe­less be ex­tremely sur­pris­ing if some 100-state Tur­ing ma­chine turned out to print the ex­act text of Shake­speare’s Romeo and Juliet. Un­less some­thing was speci­fi­cally gen­e...
2020-07-06T05:41:12
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https://www.nature.com/articles/ncomms3045?error=cookies_not_supported&code=2e8ddfe8-bfe5-41e2-a9af-4058195a830c
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...
2022-06-26T06:38:34
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http://nrich.maths.org/public/leg.php?code=32&cl=2&cldcmpid=2339
Search by Topic Resources tagged with Multiplication & division similar to Got It Article: Filter by: Content type: Stage: Challenge level: There are 162 results Broad Topics > Calculations and Numerical Methods > Multiplication & division Countdown Stage: 2 and 3 Challenge Level: Here is a chance to play a vers...
2016-06-30T21:19:13
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https://space.stackexchange.com/questions/49712/would-the-100-km-knee-in-earths-atmosphere-still-be-where-mfp-exceeded-scale/49962
# Would the >100 km “knee” in Earth's atmosphere still be where MFP exceeded scale height if it were pure Ne or Ar? There is currently one answer to How many solar system bodies have "knees" in their atmospheres? that points out that somewhere above roughly 100 km turbulent mixing drops off (thus the name turbopause) ...
2021-06-18T20:22:41
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://math.stackexchange.com/questions/193560/difference-between-pushforward-and-differential/193566
# Difference between pushforward and differential The pushforward of a map $F:M \to N$ at a point $P \in M$ is defined as $F_*:T_P(M) \to T_{F(P)}(N)$ where $$(F_*X)(f) = X(f \circ F)$$ where $X \in T_P(M)$. The differential of a function $f$ defined on $M$ at $P$ is $$df_P(X_P) = X_Pf.$$ What is the relation? How ...
2015-01-28T09:49:39
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https://cdsweb.cern.ch/collection/CERN%20Preprints?ln=it
# CERN Preprints Ultimi arrivi: 2016-12-09 09:49 Measurement of the prompt $J/\psi$ pair production cross-section in pp collisions at $\sqrt{s} = 8$ TeV with the ATLAS detector The production of two prompt $J/\psi$ mesons, each with transverse momenta $p_{\mathrm{T}}>8.5$ GeV and rapidity $|y| < 2.1$, is studied usin...
2016-12-09T13:26:30
{"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...
https://math.stackexchange.com/questions/2100333/how-far-can-i-develop-representation-theory-from-category-theory
# How far can I develop representation theory from category theory? A little background: I am currently learning a bit about category theory. I studied basic representation theory last semester (definitions, Maschke's theorem and Schur lemma, character tables, ... for finite groups and vector space over $\mathbb{C}$)....
2019-05-22T03:05:25
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https://hal.archives-ouvertes.fr/hal-01915976
# In SDP relaxations, inaccurate solvers do robust optimization 1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse] Abstract : We interpret some wrong results (due to numerical inaccuracies) already observed when solving SDP-relaxations for pol...
2019-04-19T00:37:55
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http://mathhelpforum.com/pre-calculus/160836-sketching-curves-roots-problem.html
# Math Help - sketching curves, roots problem 1. ## sketching curves, roots problem heres the question: sketch the curve of y=4-7x-2xsqrd i get y=4, but to get the two x roots i factorise as normal, and get the solutions x=1/2 and x=+4 however the textbook says that the second root is actually -4... why? 2. Origina...
2014-09-20T15:15:29
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http://crypto.stackexchange.com/questions?page=23&sort=newest
# All Questions 74 views ### Is it possible to perform an MPC protocol to compute a product in a polynomial ring? I hope not to be asking much, but I have N parties, each one holding a polynomial in with 0-1 coefficients and fixed degree $n-1$. I was wandering if it is possible (I mean feasible) to compute the ... 2...
2016-05-25T03:28:25
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https://math.stackexchange.com/questions/3250961/probability-that-2n-has-no-goldbach-partitions
# Probability that $2n$ has no Goldbach partitions. I'm trying to evaluate the probability that some even integer $$2n$$ has no Goldbach partitions using the following approach... First, visualize the distribution of primes from $$1$$ to $$n$$ as a binary string representing odd integers, with $$1$$ for primes and $$...
2019-10-21T21:07:20
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https://en.lntwww.de/Information_Theory/Weitere_Quellencodierverfahren
# Further Source Coding Methods ## The Shannon-Fano algorithm The Huffman coding from 1952 is a special case of  "entropy coding".  It attempts to represent the source symbol  $q_μ$  by a code symbol  $c_μ$  of length  $L_μ$,  aiming for the following construction rule: $$L_{\mu} \approx -{\rm log}_2\hspace{0.15cm}(...
2021-07-31T09:27:03
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https://zbmath.org/?q=an:0405.14008
## Fibres stables de rang 2 sur $$\mathbb{P}_2(\mathbb{C})$$.(French)Zbl 0405.14008 ### MSC: 14D20 Algebraic moduli problems, moduli of vector bundles 32L05 Holomorphic bundles and generalizations 57R20 Characteristic classes and numbers in differential topology 14F05 Sheaves, derived categories of sheaves, etc. (MS...
2023-02-06T12:20:11
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http://www.pcmag.com/encyclopedia/term/43501/frequency
Definition of: frequency frequency The number of oscillations (vibrations) in one second. Frequency is measured in Hertz (Hz), which is the same as "oscillations per second" or "cycles per second." For example, the alternating current in a wall outlet in the U.S. and Canada is 60Hz. Electromagnetic radiation is measur...
2017-02-27T12:22:04
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https://socratic.org/questions/how-do-you-find-the-derivative-of-p-x-f-g-h-k-x
How do you find the derivative of p(x)=f(g(h(k(x))))? $p ' \left(x\right) = f ' \left(g \left(h \left(k \left(x\right)\right)\right)\right) \cdot g ' \left(h \left(k \left(x\right)\right)\right) \cdot h ' \left(k \left(x\right)\right) \cdot k ' \left(x\right)$.
2019-10-15T01:21:36
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https://math.stackexchange.com/questions/1504176/continuity-of-fx-cx-for-c0
# Continuity of $f(x)=c^x$ for $c>0$. What inequalities is used to show that $f(x)=c^x$ is continuous for some constant $c>0$ I am trying to use $\epsilon-\delta$ definition of continuity. That is $f$ is continuos at $x_0$ if for every $\epsilon>0$ there exists a $\delta>0$ such that $|x-x_0| < \delta$ implies $|f(x)...
2020-11-28T08:42:30
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https://math.stackexchange.com/questions/3059196/finding-error-in-a-an-approximation
# Finding error in a an approximation We want to see the total error in approximating $$f'(x) \approx \frac{ f(x+h)-f(x) }{h}$$ where $$f: R \to R$$ is differentiable. We can find $$\theta \in [x,x+h]$$ by Taylor's to that $$f(x+h) = f(x) + f'(x) h + f''( \theta ) h^2 /2$$ If the error in function values is bounde...
2019-10-24T05:46:30
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https://www.physicsforums.com/threads/resultant-force-a-liquid.323915/
# Resultant force a liquid 1. Jul 8, 2009 ### leena19 1. The problem statement, all variables and given/known data A conical flask contains a liquid of density $$\rho$$ to a height 'h'. If the area of the base of the flask is A and V is the volume of the liquid in the flask,then the resultant force acting on the cur...
2017-08-24T06:06:40
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https://ai.stackexchange.com/questions/6488/does-the-model-learn-from-the-average-of-all-the-data-points-in-the-mini-batch
# Does the model learn from the average of all the data points in the mini-batch? I used the example at - https://github.com/aymericdamien/TensorFlow-Examples/blob/master/examples/5_DataManagement/tensorflow_dataset_api.py - to create my own classification model. I used different data but the basic outline of datasets...
2021-04-12T23:02:24
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https://physics.stackexchange.com/questions/98541/why-can-you-make-two-repelling-positively-charged-rods-touch-shouldnt-the-coul?noredirect=1
# Why can you make two repelling positively charged rods touch? Shouldn't the Coulomb force become infinite? For a physics lab on the Triboelectric effect, we rubbed two rods with fur which gave both of them a positive charge. We then brought them close together, and they obviously repelled. We then held one rod down...
2021-07-31T22:56:48
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http://openstudy.com/updates/5093fc12e4b0c875f79dffb3
## anonymous 3 years ago I need some help with Geometry, Finding Total Area in Prisms. 1. anonymous Si, si 2. anonymous What is the question? 3. anonymous Find the Total Area of the Prism: 4. anonymous 5. anonymous @johnsonshelby 6. anonymous Find the area of each side and add together... that's surface area...
2016-05-26T16:45:20
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https://simple.industries/notes/exponential-functions.html
home # Exponential functions Exponential functions are Functions with the form $$f(x) = b^x$$, where $$b > 0$$ and $$b \neq 1$$. They are the inverse of Logarithmic functions. ## Identities $b^x b^y = b^{x+y}$ $\frac{b^x}{b^y} = b^{x-y}$ $(b^x)^y = b^{xy}$ $(ab)^x = a^x b^x$ $(\frac a b)^x = \frac{a^x}{b^x}$ $b^{-...
2023-01-28T04:03:04
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https://de.maplesoft.com/support/help/Maple/view.aspx?path=ScientificErrorAnalysis%2FGetStructure
Get Structure - Maple Help ScientificErrorAnalysis GetStructure return the interface of an available quantity-with-error structure Calling Sequence GetStructure( struct ) Parameters struct - type; type of an available quantity-with-error structure Description • The GetStructure( struct ) command returns the...
2021-12-01T09:29:43
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https://bayesianbiologist.com/category/probability/page/4/
# Predictive Ecology and Management Decisions Under Uncertainty In February, I was honoured with the inaugural McGill Biology Graduate Students Association Organismal Seminar Award. This is the talk I gave on uncertainty and predictions in ecological management. I have inserted selected visuals, but you can get the co...
2021-10-26T11:27:11
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