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http://mathhelpforum.com/number-theory/212160-fitting-sine-wave-between-two-lines.html
# Thread: Fitting a sine wave between two lines 1. ## Fitting a sine wave between two lines I have a data set that appears to be made up of two linear regions, separated by what best looks like a sine wave. I know the x and y co-ordinates of the two points at the end of each line segment, x1, x2, y1, y2, and the res...
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https://dsp.stackexchange.com/questions/66173/upsampling-with-time-offsets/66185
# Upsampling with time offsets Suppose I have done 4x oversampling for a continuous time signal, but the successive sampling times have a linearly increasing offset. Specifically, the samples with indices {4k; k=0, 1, 2,...} are correctly sampled at times {4kTs}, but the samples at indices {4k+1; k= 0, 1, 2,..} are sa...
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https://mathinsight.org/prototypes_more_serious_questions_taylor_polynomials_refresher
# Math Insight ### Prototypes: More serious questions about Taylor polynomials Beyond just writing out Taylor expansions, we could actually use them to approximate things in a more serious way. There are roughly three different sorts of serious questions that one can ask in this context. They all use similar words, s...
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https://www.physicsforums.com/threads/inverse-square-law-help-please.790996/
Tags: 1. Jan 7, 2015 RichardGib 1. The problem statement, all variables and given/known data If I measure a sound intensity of 1.0 at distance R from its source, what intensity would I measure at distance 3R in a free, unbounded space? What is the difference in decibels? & If I measure a sound pressure of 1.0 at d...
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https://docs.galpy.org/en/v1.6.0/reference/potentialrtide.html
# galpy.potential.Potential.rtide¶ Potential.rtide(R, z, phi=0.0, t=0.0, M=None)[source] NAME: rtide PURPOSE: Calculate the tidal radius for object of mass M assuming a circular orbit as $r_t^3 = \frac{GM_s}{\Omega^2-\mathrm{d}^2\Phi/\mathrm{d}r^2}$ where $$M_s$$ is the cluster mass, $$\Omega$$ is the circular f...
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https://reference.globalspec.com/standard/3842897/astm-e918-83-1999
# ASTM International - ASTM E918-83(1999) ## Standard Practice for Determining Limits of Flammability of Chemicals at Elevated Temperature and Pressure historical Organization: ASTM International Publication Date: 10 April 1999 Status: historical Page Count: 5 ICS Code (Ignitability and burning behaviour of material...
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http://libros.duhnnae.com/2017/jul6/150057294359-How-well-can-we-predict-the-total-cross-section-at-the-LHC-High-Energy-Physics-Phenomenology.php
# How well can we predict the total cross section at the LHC - High Energy Physics - Phenomenology Abstract: Independently of any theory, the possibility that the large value of theTevatron cross section claimed by CDF is correct suggests that the total crosssection at the LHC may be large. Because of the experimental...
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https://www.physicsforums.com/threads/ring-of-non-uniform-charge.184821/
# Ring of Non-uniform charge 1. Sep 15, 2007 ### Luke1294 1. The problem statement, all variables and given/known data A ring of radius 'a' has a charge distribution on it that varies as $$\lambda (\theta) = \lambda_0 sin(\theta)$$, where $$\theta$$ is the angle between 'a' and the x axis. a) What is the direction ...
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https://rupress.org/jcb/article/75/1/31/52117/Patterns-of-plasminogen-activator-production-in
Cultured normal low-passage embryo fibroblasts, from a number of species, and two untransformed clones of a Balb/3T3 line elaborate increasing amounts of plasminogen activator (PA) as they approach confluence; the low-passage cells then lose this PA activity after reaching confluence, while the 3T3 cells retain it inde...
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http://ipnwww.in2p3.fr/A-new-leading-contribution-to-neutrinoless-double-beta-decay?date=2018-11
Accueil du site > Actualités et Faits Marquants > A new leading contribution to neutrinoless double-beta decay A new leading contribution to neutrinoless double-beta decay V. Cirigliano, W. Dekens, J. de Vries, M.L. Graesser, E. Mereghetti, S. Pastore, and U. van Kolck, Phys. Rev. Lett. 120 (2018) 202001 V. Ciriglia...
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https://www.physicsforums.com/threads/orthogonal-complements-of-complex-and-continuous-function-subspaces.562266/
# Homework Help: Orthogonal Complements of complex and continuous function subspaces 1. Dec 22, 2011 ### unquantified 1. The problem statement, all variables and given/known data I'm having a tough time figuring out just how to get the orthogonal complement of a space. The provlem gives two separate spaces: 1) spa...
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https://undergroundmathematics.org/quadratics
## How do different representations help us to understand quadratics? ### Key questions 1. 1 How are the graphical and algebraic representations of quadratics connected? 2. 2 What do we mean by the roots of a quadratic equation and how can we find them? 3. 3 What is the discriminant of a quadratic, and what can ...
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https://math.stackexchange.com/questions/3509582/circle-envelope-tangent-in-another-circle/3545910
# circle envelope tangent in another circle As the picture shows, One big circle ,$$(0,0)$$ ,radius=R, there is a small circle in it, $$(m,0)$$ ,radius=r . G is on the big circle. From G ,we can do two tangent lines about the small circle. Get the points of intersection E and F. line EF has a envelope about G , whic...
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https://economics.stackexchange.com/questions/19643/arrows-impossibility-theorem
# Arrow's impossibility theorem In social choice theory, Arrow's impossibility theorem, the general possibility theorem or Arrow's paradox is an impossibility theorem stating that when voters have three or more distinct alternatives (options), no ranked voting electoral system can convert the ranked preferences of ind...
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http://math.stackexchange.com/questions/248821/notations-in-group-theory
# Notations in Group theory I will start by apologizing as many will not like this question. I am reading the paper COHOMOLOGY THEORY OF GROUPS WITH A SINGLE DEFINING RELATION and having focused on typology throughout my studies i finding myself to be in a lost notation wise. 1. Let $F$ be a free subgroup in $G$ wit...
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https://www.physicsforums.com/threads/su-2-pure-ym-on-r-4.585649/
# SU(2) Pure YM on R^4 1. Mar 10, 2012 ### Charles_Henry 1. The problem statement, all variables and given/known data Derive the pure SU(2) YM theory on $\mathbb{R}^4$ from the action. Let $A_{\mu} (x)$ be a solution to these equations. Show: $\tilde{A}_{\mu} (cx)$ is also a solution (with the same action). Backg...
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https://www.snapxam.com/problems/40272580/integral-of-x-3-16-1x-2-0-5-dx
Step-by-step Solution Go! 1 2 3 4 5 6 7 8 9 0 a b c d f g m n u v w x y z . (◻) + - × ◻/◻ / ÷ 2 e π ln log log lim d/dx Dx |◻| = > < >= <= sin cos tan cot sec csc asin acos atan acot asec acsc sinh cosh tanh coth sech csch asinh acosh atanh acoth asech acsch Step-by-step explanation Problem to solve: $\int\frac...
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http://math.stackexchange.com/questions/870240/an-inequality-in-numbers
# An inequality in numbers Which number is larger? $\underbrace{888\cdots8}_\text{19 digits}\times\underbrace{333\cdots3}_\text{68 digits}$ or $\underbrace{444\cdots4}_\text{19 digits}\times\underbrace{666\cdots67}_\text{68 digits}$? Why? How much is it larger? - Let those four numbers be $a,b,c,d$ respectively. The...
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https://sbseminar.wordpress.com/2008/08/10/theta-divisors-the-clean-part/
Theta divisors: the clean part As often happens, after I do a large computation, a lot more theory makes sense. So, in this post, I’ll talk about the parts that I can explain without getting dirty with formulae. After that, I’ll think there willl be one more post on $\Theta$ functions and divisors. Suppose we have an...
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https://zims-en.kiwix.campusafrica.gos.orange.com/wikipedia_en_all_nopic/A/Euler%E2%80%93Rodrigues_formula
# Euler–Rodrigues formula In mathematics and mechanics, the EulerRodrigues formula describes the rotation of a vector in three dimensions. It is based on Rodrigues' rotation formula, but uses a different parametrization. The rotation is described by four Euler parameters due to Leonhard Euler. The Rodrigues formula (...
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https://kk.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/finding-square-root-of-decimal
If you're seeing this message, it means we're having trouble loading external resources on our website. Егер веб фильтрлерін қолдансаң, *.kastatic.org мен *.kasandbox.org домендері бұғатталмағанын тексер. Негізгі бет # Ондық бөлшектің квадрат түбірі ## Видео транскрипті - Let's see if we can solve the equation P s...
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https://www.tyrrell4innovation.ca/tag/cosine-distance/
## MiWORD of the Day Is…Cosine Distance! Today we will talk about a way to measure distance, but not about how far away two objects are. Instead, cosine distance, or cosine similarity, is a measure of how similar two non-zero vectors are in terms of orientation, or to put it simply, the direction to which they point. ...
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http://en.wikipedia.org/wiki/Loop_(algebra)
# Quasigroup (Redirected from Loop (algebra)) In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible. Quasigroups differ from groups mainly in that they need not be associative. A quasigroup with an identity element is...
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http://mathhelpforum.com/calculus/31651-polar-curve-area-print.html
# Polar Curve Area • March 21st 2008, 03:42 PM thegame189 Polar Curve Area Find the area inside both r=5sin(2theta) and r=5cos(2theta). I have NO idea how to do it. My book has no examples and I couldn't find anything online. I ended up trying to do the integral of (5sin(2theta))^2, evaluated from 0 to Pi/8 + the in...
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https://math.stackexchange.com/questions/1705308/differentiation-and-integration?noredirect=1
# Differentiation and integration Which came first : Differentiation or Integration? If one of them was developed to solve certain types of problems, was the other developed for backward compatibility, or was it an independent development and later discovered that they were inverses? Also, how were they discovered to...
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https://www.physicsforums.com/threads/relativistic-momentum-definition.119162/
# Relativistic momentum definition 1. Apr 29, 2006 ### bernhard.rothenstein many textbooks start teaching relativistic dynamics by defining the relativistic momentum as p=dx/dtau 2. Apr 29, 2006 ### Meir Achuz It should be p=m dx/dtau. U^i=dx^i/dtau are the three spatial components of a 4-vector. The basic differ...
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http://www.conserve-energy-future.com/Advantages_NuclearEnergy.php
# Nuclear Energy Energy cannot be created nor be destroyed but it can be converted from one form to another. Nearly all the mass of the atom is concentrated in a tiny nucleus in the center. The nucleus is composed principally of two sorts of particles: the proton which carries the positive charge and the neutron which...
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https://www.hepdata.net/record/82145
Precision measurement and interpretation of inclusive $W^+$, $W^-$ and $Z/\gamma^*$ production cross sections with the ATLAS detector The collaboration Eur.Phys.J.C 77 (2017) 367, 2017. Abstract (data abstract) CERN-LHC. High-precision measurements by the ATLAS Collaboration are presented of inclusive $W^+\to\ell^+\n...
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https://math.stackexchange.com/questions/8337/different-methods-to-compute-sum-limits-k-1-infty-frac1k2-basel-pro/2315350
# Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem) As I have heard people did not trust Euler when he first discovered the formula (solution of the Basel problem) $$\zeta(2)=\sum_{k=1}^\infty \frac{1}{k^2}=\frac{\pi^2}{6}.$$ However, Euler was Euler and he gave other proofs. I bel...
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http://mathhelpforum.com/calculus/23764-basic-complex-analysis-question.html
Math Help - Basic Complex Analysis question 1. Basic Complex Analysis question This question appears really easy, I am just not sure I am undestanding it correctly. I apologize for the large size, ha. Anyways question number 2 is what I am having difficulty with. I realize it is a closed path with poles, but the sha...
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http://mathoverflow.net/questions/92865/is-reflexivity-an-open-condition/92880
# Is reflexivity an open condition? Is the condition that a module is reflexive an open condition? That is, if $X$ is a smooth projective complex variety, $T$ a quasi-projective variety, and $F$ a finitely presented module on $X \times T$ that is $T$-flat, then we can form the locus $T' \subset T$ of points $t$ such ...
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https://www.arxiv-vanity.com/papers/1305.7509/
arXiv Vanity renders academic papers from arXiv as responsive web pages so you don’t have to squint at a PDF. Read this paper on arXiv.org. # On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it Dharam Vir Ahluwalia Institute of Mathematics Statistics and Scientific Co...
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https://www.physicsforums.com/threads/heisenberg-uncertainty-need-some-clarification-time-sesitive-help.395910/
# Homework Help: Heisenberg Uncertainty, Need Some Clarification. TIME SESITIVE, HELP 1. Apr 16, 2010 ### asl3589 Heisenberg Uncertainty, Need Some Clarification. TIME SESITIVE, HELP!! 1. The problem statement, all variables and given/known data Use the Heisenberg uncertainty principle to calculate Deltax for a bal...
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https://www.physicsforums.com/threads/jumping-physics-problem.362338/
# Jumping physics problem 1. Dec 10, 2009 ### PearlyD 1. The problem statement, all variables and given/known data An exceptional standing jump would raise a person 0.80m off the ground. To do this, what force must a 66 kg person exert against the ground? Assume the person crouches a distance of 0.20 m prior to jump...
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http://www.onlineprediction.net/?n=Main.KernelMethods
# Kernel Methods Kernel methods are a powerful tool of modern learning. This article provides an introduction to kernel methods through a motivating example of kernel ridge regression, defines reproducing kernel Hilbert spaces (RKHS), and then sketches a proof of the fundamental existence theorem. Some results that a...
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http://ufldl.stanford.edu/wiki/index.php?title=Softmax_Regression&diff=next&oldid=610
# Softmax Regression (Difference between revisions) Revision as of 23:24, 7 May 2011 (view source)Zellyn (Talk | contribs)m (→Parameterization)← Older edit Revision as of 23:26, 7 May 2011 (view source)Zellyn (Talk | contribs) m (→Binary Logistic Regression)Newer edit → Line 190: Line 190: &= &= - \frac{e^{ \Theta_1^...
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http://www.dolfin-adjoint.org/en/latest/documentation/maths/1-foreword.html
# Foreword¶ Written by Patrick E. Farrell Far too often, maths books launch into their subject without explaining to the novice reader why he or she should care about it in the first place. So, before diving into the details, let’s take a few minutes to motivate why adjoint techniques were invented. Suppose an aeron...
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https://math.stackexchange.com/questions/58890/similarity-between-special-matrices-and-special-complex-numbers
# Similarity between special matrices and special complex numbers From Wikipedia: It is occasionally useful (but sometimes misleading) to think of the relationships of different kinds of normal matrices as analogous to the relationships between different kinds of complex numbers: • Invertible matrices are analogous ...
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https://www.science.gov/topicpages/n/nuclear+hamiltonian+ab.html
#### Sample records for nuclear hamiltonian ab 1. The nuclear monopole Hamiltonian Duflo, J.; Zuker, A. P. 1999-05-01 The monopole Hamiltonian Hm is defined as the part of the interaction that reproduces the average energies of configurations. After separating the bulk contributions, we propose a minimal form for H...
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http://digre.pmf.unizg.hr/3956/
# Stable homotopy theory of dendroidal sets Bašić, Matija (2015) Stable homotopy theory of dendroidal sets. Doctoral thesis, Faculty of Science > Department of Mathematics. PDF Restricted to Repository staff only Language: English Download (829kB) | Request a copy ## Abstract The main topic of this thesis is the s...
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https://www.arxiv-vanity.com/papers/1302.5209/
# The Herschel††thanks: Herschel is an ESA space observatory with science instruments provided by European-led Principal Investigator consortia and with important participation from NASA PEP/HerMES Luminosity Function – I: Probing the Evolution of PACS selected Galaxies to z≃4 C. Gruppioni, F. Pozzi, G. Rodighiero, I....
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http://engineerexperiences.com/author/ismail-sarwar/page/2
## Special Types of Energy Meters Special Categories of Energy Meters: In the previous article, we discussed basics types of energy meters. In this article I will continue the discussion on other special types of energy meters. Let’s take this hierarchy diagram again. We already understood about the types of energy me...
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https://byjus.com/angle-between-two-vectors-formula/
# Angle between Two Vectors Formula If the two vectors are assumed as $\vec{a}$ and $\vec{b}$ then the dot created is articulated as $\vec{a}. \vec{b}$. Let’s suppose these two vectors are separated by angle θ. To know what’s the angle measurement we solve with the below formula we know that the dot product of two pr...
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https://unapologetic.wordpress.com/2010/12/24/permutations-and-polytabloids/?like=1&source=post_flair&_wpnonce=eb8d9d939c
# The Unapologetic Mathematician ## Permutations and Polytabloids We’ve defined a bunch of objects related to polytabloids. Let’s see how they relate to permutations. First of all, I say that $\displaystyle R_{\pi t}=\pi R_t\pi^{-1}$ Indeed, what does it mean to say that $\sigma\in R_{\pi t}$? It means that $\sigm...
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http://mathoverflow.net/questions/111466/upper-bound-on-joint-renyi-entropy
# Upper bound on joint Renyi entropy Renyi entropy of a random pair $(X,Y)$ with probability distribution $p_{X,Y}$ is defined by $$H_\alpha(X,Y) = \frac{1}{1-\alpha}\log\sum_{x,y} p_{X,Y}(x,y)^\alpha.$$ Assume that $X$ and $Y$ have countably infinite alphabets, and observe the case $0\leq\alpha\leq 1$. It is known t...
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https://kerodon.net/tag/01Z1
# Kerodon $\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ Remark 5.5.1.6. Let $X$ and $Y$ be Kan complexes. Then Remark 4.6.7.6 supplies a canonical homotopy equivalence of Kan complexes $\operatorname{Fun}(X,Y) \rightarrow \operatorname{Hom}_{\operatorname{\mathcal{S}}}( X,Y)$. Beware that this homotopy equivalence is gen...
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https://samacheerkalvi.guide/samacheer-kalvi-12th-physics-guide-chapter-4/
Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Physics Guide Pdf Chapter 4 Electromagnetic Induction and Alternating Current Text Book Back Questions and Answers, Notes. ## Tamilnadu Samacheer Kalvi 12th Physics Solutions Chapter 4 Electromagnetic Induction and Alternating Current ### 12th Physics Guide Elec...
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http://math.stackexchange.com/questions/799519/algebraic-solution-for-the-intersection-points-of-two-parabolas
# Algebraic solution for the intersection point(s) of two parabolas I recently ran through an algebraic solution for the intersection point(s) of two parabolas $ax^2 + bx + c$ and $dx^2 + ex + f$ so that I could write a program that solved for them. The math goes like this: $$ax^2 - dx^2 + bx - ex + c - f = 0 \\ x^2(...
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https://efinancemanagement.com/financial-analysis/loan-to-value-ratio
# Loan to Value Ratio ## Concept of Loan to Value Ratio A mortgage is a legal document wherein the lender lends money in exchange for the title of the debtor’s property. Until the payment is received for the entire debt, the lender is the title holder of the property which is mortgaged. There are various types of mo...
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https://tex.stackexchange.com/questions/245143/how-to-draw-a-number-line-with-arrows-inside-it
# How to draw a number line with arrows inside it I am having trouble using TiKz to draw a correct picture. Here is how I started it out: \documentclass{amsart} \usepackage{tikz} \usetikzlibrary{decorations.markings} \usetikzlibrary{arrows} \begin{document} \tikzset{->-/.style={decoration={ markings, mark=at positi...
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https://en.wikipedia.org/wiki/Cardinal_utility
# Cardinal utility A simple example of two cardinal utility functions u (first column) and v (second column) whose values in all circumstances are related by v=2u+3 In economics, a cardinal utility function or scale is a utility index that preserves preference orderings uniquely up to positive affine transformations....
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http://mathhelpforum.com/differential-geometry/179775-continuous-metric-spaces.html
# Math Help - continuous metric spaces 1. ## continuous metric spaces Show that 1. the projection map p : R^2 → R given by p(x; y) := x is continuous. . My proofs: We want to show that $\forall$ $\epsilon$ > 0, $\exists$ $\delta$>0 such that: d(x,y)< $\delta$ $\Rightarrow$ d(f(x),f(y)) < $\epsilon$ (x1,y1) (x2,y...
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https://www.sarthaks.com/9826/define-1-j-of-work
# Define 1 J of work. 43 views in Physics Define 1 J of work. by (127k points) 1 J is the amount of work done by a force of 1 N on an object that displaces it through a distance of 1 m in the direction of the applied force. 80
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http://math.stackexchange.com/questions/375299/calculating-circle-properties
# Calculating circle properties. How can I incrementally calculate the angle from angle 0 and the point (x, y) in a circumference path if I have the center of the circle coordinates and the radius of the circle. I have 127 segments each with 5 points in a segment. This is 635 in circumference. The closest radius to t...
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https://practice-questions.wizako.com/gmat/quant/permutation-combination-probability/specific-sequence-probability-rearrangement-3.shtml
# GMAT® Quant Practice : Probability Concept: Rearranging letters of a word. Basics of probability. This GMAT quant practice question is a problem solving question in probability. The concept tested in this question is to find the probability that a specific sequence occurs when letters of a word are rearranged. ###...
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https://galoisrepresentations.wordpress.com/2015/10/17/hilbert-modular-forms-of-partial-weight-one-part-iii/
Hilbert Modular Forms of Partial Weight One, Part III My student Richard Moy is graduating! Richard’s work has already appeared on this blog before, where we discussed his joint work with Joel Specter showing that there existed non-CM Hilbert modular forms of partial weight one. Today I want to discuss a sequel of so...
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https://onepetro.org/SNAMETOS/proceedings-abstract/TOS15/1-TOS15/D013S003R002/3712
The determining of aerodynamic coefficients is one of the essential steps in the design of an offshore structure such as an FPSO (Floating Production Storage and Offloading). It is extremely important as they are one of the dimensioning criteria for the mooring design. Nowadays, these loads are mainly assessed through ...
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https://www.arxiv-vanity.com/papers/cond-mat/0109042/
# Statistical properties of contact vectors A. Kabakçıoğlu, I. Kanter, M. Vendruscolo, and E. Domany Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel Department of Physics, Bar Ilan University, 52900 Ramat Gan,Israel Oxford Centre for Molecular Sciences, Central Chemistry ...
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http://mathoverflow.net/revisions/37381/list
5 added 46 characters in body Let me start with a question for which I know the answer. Consider a symmetric integral $n\times n$ matrix $A=(a_{ij})$ such that $a_{ii}=2$, and for $i\ne j$ one has $a_{ij}=0$ or $-1$. One can encode such a matrix by a graph $G$: it has $n$ vertices, and two vertices $i,j$ are connected...
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http://math.stackexchange.com/questions/121977/residue-of-a-pole-of-order-6
# Residue of a pole of order 6 I am in the process of computing an integral using the Cauchy residue theorem, and I am having a hard time computing the residue of a pole of high order. Concretely, how would one compute the residue of the function $$f(z)=\frac{(z^6+1)^2}{az^6(z-a)(z-\frac{1}{a})}$$ at $z=0$? Although...
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https://www.physicsforums.com/threads/connection-and-tensor-issue-with-the-proof.715032/
Connection and tensor-issue with the proof 1. Oct 7, 2013 1. The problem statement, all variables and given/known data I am tying to prove the following: $\Gamma^{a}_{bc}$ T$^{bc}$ =0 2. Relevant equations 3. The attempt at a solution I approached this problem as follows: $dx_{b}/dx^{c} * e^{a} (e^{b} . e^{c})$ bu...
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http://math.stackexchange.com/questions/68154/numerical-software-to-solve-partial-differential-equations-in-spherical-coordina
# Numerical software to solve partial differential equations in spherical coordinates? Which numerical libraries / math software can allow me to solve partial differential equations in spherical coordinates? (my system consists of N degrees of freedom, each degree lives in $\mathbb{C}^{2}$ and the whole system is $(\m...
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https://www.sarthaks.com/1518738/long-capillary-radius-placed-vertically-inside-beaker-water-surface-tension-water-2xx10
# A long capillary tube of radius 0.2 mm is placed vertically inside a beaker of water. If the surface tension of water is 7.2xx10^(-2)N//m the angl 140 views in Physics closed A long capillary tube of radius 0.2 mm is placed vertically inside a beaker of water. If the surface tension of water is 7.2xx10^(-2)N//m the ...
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https://cs.stackexchange.com/questions/13286/interactive-proofs-for-conp
# Interactive Proofs for coNP I am trying to understand interactive proof systems and tried the following problem as an exercise. We know that $PH \subseteq PSPACE$ and $IP=PSPACE$, so come up with (easy to understand) interactive proof systems for $PH$? An interactive proof system for $NP$ is trivial, but I failed t...
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http://demonstrations.wolfram.com/GeodesicsInTheMorrisThorneWormholeSpacetime/
# Geodesics in the Morris-Thorne Wormhole Spacetime Requires a Wolfram Notebook System Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products. Requires a Wolfram Notebook System Edit on desktop, mobile and cloud with any Wolfram Language product. The simplest worm...
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http://planetmath.org/KantorovitchsTheorem
# Kantorovitch’s theorem Let $\mathbf{a}_{0}$ be a point in $\mathbb{R}^{n},U$ an open neighborhood of $\mathbf{a}_{0}$ in $\mathbb{R}^{n}$ and $\mathbf{f}\colon U\rightarrow\mathbb{R}^{n}$ a differentiable mapping, with its derivative $[\mathbf{D}\mathbf{f}(\mathbf{a}_{0})]$ invertible. Define $\mathbf{h}_{0}=-[\ma...
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http://www.researchgate.net/publication/45918625_Less_space_for_a_new_family_of_fermions
Article # Less space for a new family of fermions (Impact Factor: 4.86). 05/2010; DOI: 10.1103/PhysRevD.82.095006 Source: arXiv ABSTRACT We investigate the experimentally allowed parameter space of an extension of the standard model (SM3) by one additional family of fermions. Therefore we extend our previous study o...
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http://crypto.stackexchange.com/questions/1422/demonstrating-the-insecurity-of-an-rsa-signature-encoding-scheme?answertab=votes
# Demonstrating the insecurity of an RSA signature encoding scheme I'm working on problem 12.4 from Katz-Lindell. The problem is as follows: Given a public encoding function $\newcommand{\enc}{\operatorname{enc}}\enc$ and a textbook RSA signature scheme where signing occurs by finding $\enc(m)$ and raising it to the ...
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https://mathmaine.com/2010/04/01/sigma-and-pi-notation/?replytocom=1507
# Sigma and Pi Notation (Summation and Product Notation) ### Sigma (Summation) Notation The Sigma symbol, $\sum$, is a capital letter in the Greek alphabet. It corresponds to “S” in our alphabet, and is used in mathematics to describe “summation”, the addition or sum of a bunch of terms (think of the starting sound o...
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http://physics.stackexchange.com/questions/106457/expectation-values-and-derivation-of-heisenberg-equation
# Expectation Values and Derivation of Heisenberg Equation? Consider a system of particles with wave function $\psi$(x) (x can be understood to stand for all degrees of freedom of the system; so, if we have a system of two particles then x should represent {$x_1; y_1; z_1; x_2; y_2; z_2$}). The expectation value of an...
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https://proofwiki.org/wiki/Kluyver%27s_Formula_for_Ramanujan%27s_Sum
# Kluyver's Formula for Ramanujan's Sum ## Theorem Let $q \in \N_{>0}$. Let $n \in \N$. Let $\map {c_q} n$ be Ramanujan's sum. Let $\mu$ denote the Möbius function. Then: $\displaystyle \map {c_q} n = \sum_{d \mathop \divides \gcd \set {q, n} } d \map \mu {\frac q d}$ where $\divides$ denotes divisibility. ## ...
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https://www.physicsforums.com/threads/physics-laws-and-expansion-of-universe.150396/
# Physics laws and expansion of universe? • Start date 682 1 ## Main Question or Discussion Point my interpretation of the expansion of the universe might be naive... correct me if I make any mistake. So, space in general is expanding, or being created all over the universe. If you have a photon traveling in free s...
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http://math.stackexchange.com/questions/298137/counting-monic-polynomials-over-mathbb-z-p-mathbb-z
# Counting monic polynomials over $\mathbb Z / p\mathbb Z$. Let $p$ be prime. Consider monic polynomials of degree $d$ over $\mathbb Z / p \mathbb Z$. Denote the number of such polynomials with degree less than $p$, which are not zero for all $x \in \mathbb Z / p \mathbb Z$, with $m_d$. Let $d \geq p$. Then I have to ...
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http://clumath343s15s2.wikidot.com/clumath2015s2ch6s2-definitions
Definitions An set of vectors is an orthogonal set if each pair of vectors is orthogonal to eachother such that (1) \begin{align} \begin{Bmatrix} u_1,...,u_n \end{Bmatrix}\\ u_1 \cdot u_2 = 0, u_1 \cdot u_2 = 0, ... , u_{n-1\text{}} \cdot u_n = 0 \end{align} In addition, if there is a subspace S formed by an orthogo...
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http://code7700.com/aero_properties_of_the_atmosphere.htm
# Properties of the Atmosphere ## Aeronautical #### Eddie sez: "Any final questions?" the aero professor would ask at the end of each class. "Why is there air?" somebody would invariably ask. "Without air," he would say, "basketballs wouldn't bounce." The class would laugh and we would leave. We did this every sing...
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https://socratic.org/questions/what-is-the-domain-of-f-x-5x-2-2x-1
Precalculus Topics # What is the domain of f(x)=5x^2+2x-1? So the domain is $\left(- \infty , + \infty\right)$.
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http://www.gbhatnagar.com/2018/11/
Friday, November 16, 2018 A bibasic Heine transformation formula While studying chapter 1 of Andrews and Berndt's Lost Notebook, Part II, I stumbled upon a bibasic Heine's transformation. A special case is Heine's 1847 transformation. Other special cases include an identity of Ramanujan (c. 1919), and  a 1966 transfo...
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http://mca.ignougroup.com/2017/04/answers-kripke-models-evaluating.html
World's most popular travel blog for travel bloggers. # [Answers] Kripke Models - evaluating the meaning of $\Box\Box p$ , , Problem Detail: In Kripke models the evaluation of $x \vdash \Box p$ would be that every world reachable from $x$ satisfies $p$. But how would the truth of $\Box\Box p$ be evaluated in Kripke...
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https://atcoder.jp/contests/abc216/tasks/abc216_h
Contest Duration: - (local time) (100 minutes) Back to Home H - Random Robots / Time Limit: 2 sec / Memory Limit: 1024 MB Score : 600 points ### Problem Statement There are K robots on a number line. The i-th robot (1 \leq i \leq K) is initially at the coordinate x_i. The following procedure is going to take place...
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https://proceedings.neurips.cc/paper/2018/hash/03c6b06952c750899bb03d998e631860-Abstract.html
#### Authors Simon S. Du, Yining Wang, Xiyu Zhai, Sivaraman Balakrishnan, Russ R. Salakhutdinov, Aarti Singh #### Abstract A widespread folklore for explaining the success of Convolutional Neural Networks (CNNs) is that CNNs use a more compact representation than the Fully-connected Neural Network (FNN) and thus req...
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https://www.physicsforums.com/threads/field-theory.213796/
# Field Theory 1. Feb 7, 2008 ### johnson123 1. The problem statement, all variables and given/known data Show that F[x]/( g(x) ) is a n-dimensional vector space. where g is in F[x], and g has degree n. Its clear that F[x]/( g(x) ) is a vector space and that B= (1,$$x^{2}$$,.....,$$x^{n-1}$$) spans F[x]/( g(x) ),...
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http://www.delorie.com/gnu/docs/avl/libavl_70.html
www.delorie.com/gnu/docs/avl/libavl_70.html search GNU libavl 2.0.1 [ < ] [ > ] [ << ] [ Up ] [ >> ] [Top] [Contents] [Index] [ ? ] ## 5.12 Balance Sometimes binary trees can grow to become much taller than their optimum height. For example, the following binary tree was one of the tallest from a sample of 100 15-n...
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https://en.wikipedia.org/wiki/Pythagorean_theorem_(baseball)
# Pythagorean expectation (Redirected from Pythagorean theorem (baseball)) Pythagorean expectation is a formula invented by Bill James to estimate how many games a baseball team "should" have won based on the number of runs they scored and allowed. Comparing a team's actual and Pythagorean winning percentage can be u...
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https://www.lessonplanet.com/teachers/using-electricity-4th-5th
# Using Electricity In this electricity instructional activity, students study the circuit diagram color the light bulb yellow and tick the box if they think there is electricity for that example. Students cross out the boxes with no electricity current. Concepts Resource Details
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http://tex.stackexchange.com/questions/175746/how-to-force-a-label-to-be-a-given-string
# How to force a label to be a given string? Normally I issue a command like \label{foo}, and this means that foo gets entered into a symbol table somewhere that says that it equals 14, or xiv, or aa, or whatever. These symbols are generated and incremented automatically, and to change the numbering system, I can use ...
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https://www.physicsforums.com/threads/integral-of-e-constant-x-2.9061/
# Integral of e^-(constant)x^2 1. Nov 16, 2003 ### Kristen Need the integral of e^-(constant)x^2.........don't want to use guass integral trick 2. Nov 16, 2003 ### Ambitwistor 3. Nov 17, 2003 ### mathman The indefinite integral cannot be expressed in simple form. Usually it is given in terms of a function calle...
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https://artofproblemsolving.com/wiki/index.php?title=2004_AMC_10B_Problems/Problem_18&direction=prev&oldid=141353
# 2004 AMC 10B Problems/Problem 18 ## Problem In the right triangle , we have , , and . Points , , and are located on , , and , respectively, so that , , and . What is the ratio of the area of to that of ? ## Solution 1 Let . Because is divided into four triangles, . Because of triangle area, . and , so . , so ....
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https://www.clutchprep.com/chemistry/practice-problems/90229/indicate-the-number-of-significant-figures-in-each-of-the-following-measured-qua
# Problem: Indicate the number of significant figures in each of the following measured quantities.3.774 km ###### FREE Expert Solution We are asked to identify the number of significant figures. significant figures → digits that carry meaningful contributions to its measurement resolution 84% (139 ratings) ###### ...
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https://hal.inria.fr/hal-01283619
# On a Waveguide with Frequently Alternating Boundary Conditions: Homogenized Neumann Condition 2 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine Abstract : We consider a waveguide modeled by the Laplacian in a straight planar strip. The Dirichlet boundary condition is taken on the uppe...
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http://mathhelpforum.com/calculus/142916-please-help-ap-calc-test-tomorrow-print.html
• May 3rd 2010, 07:53 PM helpmeee is there a formula for integrating fractions??? sorry if this is hard to understand but i need to find the INTEGRAL of x/(2+e^x). • May 3rd 2010, 08:10 PM surjective integrating fractions Hello, When facing such problems you should realize that: $\int \frac{x}{2+e^{x}}dx=\int \left(\...
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http://amj.math.stonybrook.edu/html-articles/Files/15-12/
Arnold Mathematical Journal Research Contribution Received: 17 December 2014 / Accepted: 4 April 2015 # On an Equivariant Version of the Zeta Function of a Transformation S. M. Gusein-Zade Faculty of Mathematics and Mechanics, GSP-1 Moscow State University Moscow 119991 Russia    I. Luengo Present address: ICMAT-Ins...
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https://link.springer.com/article/10.1007%2Fs12220-017-9760-0
The Journal of Geometric Analysis , Volume 27, Issue 3, pp 2269–2277 # The Asymptotically Flat Scalar-Flat Yamabe Problem with Boundary • Stephen McCormick Article ## Abstract We consider two cases of the asymptotically flat scalar-flat Yamabe problem on a non-compact manifold with inner boundary in dimension $$n\...
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http://mathhelpboards.com/differential-equations-17/method-integrating-factor-20250.html?s=937dcc8a83392d4f10f5259d4891b7f7
# Thread: method of integrating factor 1. $\tiny{206.q3.2}\\$ $\textsf{3. use the method of integrating factor}\\$ $\textsf{to find the general solution to the first order linear differential equation}\\$ \begin{align} \displaystyle \frac{dy}{dx}+5y=10x \end{align} $\textit{clueless !!!}$ 2. Given a first order linea...
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http://mathhelpforum.com/calculus/65917-differential-geometry.html
differential geometry? hello there. i was reading through some work on curves of pursuit and the author stated a certain equivalence without any comment as to where it came from. Say i have a differentiable curve $C$ in the plane. Given a point $X \in C$ let the distance of the tangent line from the origin at $X$ be...
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https://en.wikiludia.com/wiki/Expected_value
Expected value In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the same experiment it represents. For example, the expected value in rolling a six-sided die is 3.5, because the average of all the numbers that come up is 3.5 as the number of r...
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https://mathoverflow.net/questions/301527/biased-vs-unbiased-lax-monoidal-categories
# Biased vs unbiased lax monoidal categories There are two principal ways to define a monoidal category: • The biased definition includes a unit object $I$, a binary tensor product $A\otimes B$, and a ternary associativity isomorphism $(A\otimes B)\otimes C\cong A\otimes (B\otimes C)$ and unit isomorphisms satisfying...
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https://academic.tips/question/describe-stellar-parallax-and-explain-how-one-would-mathematically-measure-and-calculate-the-distance-to-a-star-using-this-method/
# Describe stellar parallax and explain how one would mathematically measure and calculate the distance to a star using this method. A Stellar Parallax describes the movement of a star against other more distant stars during the revolution of the Earth around the Sun. The concept can be used to determine the distance...
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https://latex.org/forum/viewtopic.php?f=44&t=30819
## LaTeX forum ⇒ Text Formatting ⇒ Pagenumbering in textblock Topic is solved Information and discussion about LaTeX's general text formatting features (e.g. bold, italic, enumerations, ...) hirscsil Posts: 2 Joined: Sun Jan 07, 2018 12:42 pm ### Pagenumbering in textblock Dear Members As this is my first post in t...
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http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.em/1175789760
## Experimental Mathematics ### Computing Varieties of Representations of Hyperbolic $3$-Manifolds into $\SLfR$ #### Abstract The geometric structure on a closed orientable hyperbolic 3-manifold determines a discrete faithful representation $\rho$ of its fundamental group into $\mathrm{SO^{+}(3,1)}$, unique up to co...
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http://colvertgroup.com/standard-error/in-statistics-and-estimation-error.php
Home > Standard Error > In Statistics And Estimation Error # In Statistics And Estimation Error ## Contents Because of random variation in sampling, the proportion or mean calculated using the sample will usually differ from the true proportion or mean in the entire population. A statistics is a consistent estimator...
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