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Evolutionary Algorithms 4 Recombination GEATbx: Main page Tutorial Algorithms M-functions Parameter/Options Example functions www.geatbx.com Evolutionary Algorithms 4 Recombination 4 Recombination Recombination produces new individuals in combining the information contained in two or more parents (parents - mating...
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product of two riemann integrable is riemann integrable up vote -1 down vote favorite first show you only need to consider squares of functions as f.g = 1/4 [(f+g)sqr - (f-g)sqr]. show then that you only need to consider only positive valued functions becuase f(x).g(x)=|f(x)|sqr. then , if 0 <=f(x) <= M on [a,b] show ...
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Graphing the Reciprocal Trigonometric Functions - Concept Brightstorm is like having a personal tutor for every subject See what all the buzz is about Check it out Graphing the Reciprocal Trigonometric Functions - Concept 11,867 views The three cofunction identities are useful because they can be used to convert, f...
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Regular Pentagon Construction Proof Date: 11/26/2001 at 11:02:22 From: Joe Boehm Subject: Geometry What is the proof of the construction of a regular pentagon? Date: 11/27/2001 at 10:45:43 From: Doctor Jubal Subject: Re: Geometry Hi Joe, There is no one construction of a regular pentagon. There are many, many wa...
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uniform space Context Topology Basic concepts Theorems Examples Uniform spaces Idea Uniform spaces were invented by André Weil, to capture a general notion of space for which it makes sense to speak of uniformly continuous maps. Such spaces include (pseudo)metric spaces and topological groups. A uniform structu...
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Invertible matrix February 23rd 2010, 07:50 PM #1 Newbie Joined Jan 2010 Posts 22 Invertible matrix I have to determine all values of h for which A is invertible and I really don't know what should be my first step( If anyone could guide me through this that would be awesome. Here's the matrix: ...
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Each element of fundamental group of a topological group represented by homomorphism? up vote 12 down vote favorite 3 This may be a fairly simple question. Suppose G is a (T0) topological group. Assume that G is path-connected, locally path-connected, and semilocally simply connected, so that covering space theory app...
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Square Root Date: 03/15/99 at 09:45:55 From: Sean Mooney Subject: Square Root Why cannot you take the square root of a sum or difference separately - i.e. why is sqrt(9+4) not equal to sqrt(9) + sqrt(4)? Date: 03/15/99 at 17:48:35 From: Doctor Rick Subject: Re: Square Root You want to know why the square root of ...
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Fortran A (very) Brief Introduction to MPI: Fortran example We'll start with the single processor code: program monte_carlo USE IFPORT implicit none integer*8 npts parameter (npts = 1e10) integer*8 i real*8 f,sum real*8 xmin,xmax,x xmin = 0.0d0 xmax = ...
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Map Scale SC120 Map Interpretation, Air Photos, and GPS Module 2 - Map Scale Reading Assignment: Chapters 1, 2, and 3 of Sebert text. What Does "Scale" Mean? Scale refers to the relationship between distance on a map (or aerial photograph) and corresponding distance on the ground. Dis...
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differentiating through the integral August 18th 2009, 12:35 PM #1 Newbie Joined Jul 2009 Posts 4 differentiating through the integral The problem is as follows: Solve for f(x), given $f(x) = x + \int^{x}_{0}{(x-2t)f(t) dt}$ What I did: 1. Differentiate both sides wrt x, and partially ...
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some help on these please January 25th 2010, 01:17 PM #1 Newbie Joined Jan 2010 Posts 2 some help on these please 1) How many radians does the minute hand of a clock rotate during your birthday? 2) A circular sector has an area of 122 cm^2 and a radius of 2 cm. what is the arc length of the sector? ...
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Homework Help Posted by DIana on Sunday, October 31, 2010 at 9:22pm. lisa cut a log into 4 pieces in 6 minutes. she then cut a smaller log into 8 pieces. how long should the job have taken if she worked at the same rate she had worked when cutting the first log? show all work and prove your answer. • Math - Reiny, ...
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An affine singular surface up vote 3 down vote favorite Let $n$ be a positive integer and let $A$ be the subring of ${\mathbb C}[x,y]$ generated by $x,xy,...,xy^n$. Let $S=Spec(A)$. This is an affine surface, which is clearly singular if $n\neq 1$. Is this some sort of familiar surface? For example, is it normal? Does...
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Calculating Timber Volumes MICHIGAN FORESTS FOREVER TEACHERS GUIDE ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┯━━┓ ┃ TIMBER VOLUME CALCULATION PROCEDURE │ ┃ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┷━━┛ Overview Timber volume calculations can be done two ways; 1) by hand, or 2) using a spreadsheet. The calculations a...
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Nöther's Theorem This theorem derives conservation laws from the variational principle If you have a theory based on a variational principle, Nöther's Theorem furnishes you with conservation laws that come from the invariance of the principle under continuous groups of transformations. For each parameter of the trans...
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Homework Help Posted by priya on Wednesday, November 3, 2010 at 11:54pm. A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola. • math grade 11 - Bosnian, Thursday, November 4, 2010 at 2:40am ...
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where are these functions differentiable?? February 11th 2008, 12:00 AM #1 Member Joined Jan 2008 Posts 91 where are these functions differentiable?? a) $f(x) = 1 / sin(x)$ < -- function is differentiable everywhere except 1/2*pi and -1/2*pi...correct?? b) $g(x) = ln(x^2)$...dont know where this one...
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WebDiarios de Motocicleta The STOC accepted papers, with some pointers to online versions, can be found here. I had two papers: Towards Polynomial Lower Bounds for Dynamic Problems and Changing Base without Losing Space. More on them later. The FOCS call for papers is here . An experimental feature is the lack of p...
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Euclidean volume of the unit ball of matrices under the matrix norm up vote 13 down vote favorite 6 The matrix norm for an n-by-n matrix A is defined as |A|=max(|Ax|) where x ranges over all vectors with |x|=1, and the norm on the vectors in R^n is the usual Euclidean one. This is also called the induced (matrix) norm...
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Generating all factors of a number given its prime factorization up vote 10 down vote favorite If you already have the prime factorization of a number, what is the easiest way to get the set of all factors of that number? I know I could just loop from 2 to sqrt(n) and find all divisible numbers, but that seems ineffic...
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analytic geometry/graphing problem Posted by Knights on Tuesday, March 19, 2013 at 1:47pm. The vertices of a triangle are the points of intersection of the line y=-x-1, x=2 and y = 1/5x + 13/5. Find an equation of the circle passing through all three vertices. I don't understand how to solve this: should I set them a...
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Tall-Wraith monoid If $V$ is the theory of abelian groups, than a $V$-algebra is an abelian group, and the corresponding sort of Tall–Wraith $V$-monoid is a ring. To understand the last example, we need to think about co-abelian group objects in the category of abelian groups. Abstractly, such a thing is an abelian gr...
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Altitude of a Model Rocket Date: 10/26/1999 at 12:52:46 From: Jack L. Swayze Sr. Subject: 3D trigonometry I enjoy model rocketry. I especially like having youngsters participate. The model rockets (as can be expected) will fly to some unknown altitude over the rocket site. Of course, they will not go straight, much ...
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Bending Moment & Shear Force Shear and Bending Moment Diagram : The shear force diagram indicates the shear force withstood by the beam section along the length of the beam. The bending moment diagram indicates the bending moment withstood by the beam section along the length of the beam. It is normal practice to prod...
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Homework Help Posted by Tim on Tuesday, May 29, 2012 at 7:21pm. A gardener wants to fence in her plot in two equal rectangular sections. If she has 120 yards of fence and the area of the entire plot is 384 yd 2, find the possible dimensions in yards of the garden. • College Algebra - Henry, Thursday, May 31, 2012 a...
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Math Forum Discussions Re: Double Induction -- A brief note that may help Posted: Jul 16, 2013 7:55 PM shouldn't (a.b), be in it > Assume (a,b) not in S and let let c be the smallest c in N for which (c,b) not > > in S. Next let d be the smallest d in N for which (c,d) not in S. > > > > Case c = 1. Then (1,d) not in...
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[SOLVED] Inverse function of an integral June 27th 2008, 12:15 PM #1 [SOLVED] Inverse function of an integral I have $f(x)=\int_0^x 1+sin(sin(t))dt$ and I must find $[f^{-1}(0)]'$. I'm asking you to help me finding the inverse function of f, I'll try to do the derivative. One of my guesses would be that as I ...
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Math Help September 18th 2005, 07:57 PM #1 Newbie Joined Aug 2005 Posts 8 Help!!!! On a bus route between towns A and H, there are six other towns: B, C, D, E, F and G. Each segment of the route between two towns that passes through exactly two more towns is of length at least 23 km. Each segment of...
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Pascal's Triangle and Combinations Date: 06/05/98 at 10:05:25 From: Jesse Walker Subject: Pascal's Triangle and Combinations In Pascal's Triangle, there is a pattern where any given number from the triangle is the sum of two numbers in the row before it that are closest to the number. So in the fourth row down from ...
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Antoine Equation Introduction The Antoine Equation is a vapor pressure equation and describes the relation between vapor pressure and temperature for pure water between 0°C and 373.946°C. [Wikipedia] For T in Kelvins and P i...
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Derivatives of Linear Functions - Concept Brightstorm is like having a personal tutor for every subject See what all the buzz is about Check it out Derivatives of Linear Functions - Concept 12,823 views The derivative of a linear function mx + b can be derived using the definition of the derivative. The linear func...
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Differentiating a exponential function. January 31st 2011, 02:54 AM #1 Newbie Joined Apr 2009 Posts 16 Differentiating a exponential function. Differentiate (w.r.t x ) $e^{2logx + 3x}$ I tried to solve it as follows:- $e^{2logx} + e^{3x}$ $\frac{\mbox{d}}{\mbox{dx}}(e^{2logx}) + \frac{\mb...
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Physics Archive | February 24, 2012 | Chegg.com Physics Archive: Questions from February 24, 2012 • student4444 asked 0 answers • Anonymous asked 2 answers • Anonymous asked 1 answer • supertramp19 asked 0 answers • Anonymous asked 3 answers • Anonymous asked 2 answers ...
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Homework Help Posted by Liz on Saturday, June 30, 2012 at 2:17pm. Find an equation of the line that is tangent to the graph of f and parallel to the given line. Funtion: f(x)=1/sqrt(x-1) Line: x+2y+7=0 • Calculus - bobpursley, Saturday, June 30, 2012 at 5:05pm f'=-1/2 * (x-1)^-1.5 that is the slope th...
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Clarifying what this is asking (Reflexive, Symmetric, AntiSymmetric, and Transitive) January 23rd 2010, 11:04 PM #1 Newbie Joined Jan 2010 Posts 5 Clarifying what this is asking (Reflexive, Symmetric, AntiSymmetric, and Transitive) So I get the basics of these four topics (reflexive, symmetric, antisymme...
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Instant CIC Posted by Markus Nentwig on May 8 2012 under Matlab | Basics | Tips and Tricks Summary: A floating point model for a CIC decimator, including the frequency response. Description: A CIC filter relies on a peculiarity of its fixed-point implementation: Normal operation involves repeated internal overflow...
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A second outline of a density-increment argument From Polymath1Wiki Introduction One of the proof strategies we have considered seriously is the density-increment method. The idea here is to prove that if $\mathcal{A}$ is a subset of [3]^n of density δ with no combinatorial line then there is a combinatorial subspac...
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solve by substitution 3x-2y=-11 x=2y-9 i got the answer x=2. Is that right? To check your answer substitute it into each equation. Putting x = 2 into the first equation 3x-2y = -11 gives 6-2y=-11, 17=2y, y=17/2. Putting x = 2 into the second equation x = 2y-9 gives 2 = 2y-9, 11=2y, y=11/2. These are not consistent so ...
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Complexity Problem 03-23-2007 QuestionC Complexity Problem I've been wanting to ask this somehow for a while, but had trouble phrasing it as a non-math question. What follows admittedly isn't really a programming problem. It is proving something very important about Turing machines and complexity. Presu...
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Math Forum Discussions Math Forum Ask Dr. Math Discussions Internet Newsletter MathTools Teacher2Teacher Teacher Exchange Workshops Search All of the Math Forum: Views expressed in these public forums are not endorsed by Drexel University or The Math Forum. Topic: Linear independence of eigenvectors Replies: 7 Las...
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Two vector questions (high school level) July 27th 2008, 04:51 PM #1 Newbie Joined Jul 2008 Posts 11 Two vector questions (high school level) 1) Expand and simplify: (-2a + 3b) dot (5a - b). (a and b being vectors) 2) Explain how to prove if 4 given points are coplanar. Determine if A(3, 1, 0), B(2,...
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FUNdamental Theorem of calculus January 28th 2009, 02:06 PM #1 Member Joined Oct 2008 Posts 109 FUNdamental Theorem of calculus Express the limit, $\lim_{n \rightarrow \infty} \sum_{i=1}^{n} \frac{e^{\frac {i}{n}}}{n}$ as a definite integral and evaluate it using the Fundamental Theorem of the Calculus ...
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Example: Testing for Primality This section describes two methods for checking the primality of an integer n, one with order of growth [[]], and a "probabilistic" algorithm with order of growth []. The exercises at the end of this section suggest programming projects based on these algorithms. Searching for divisors ...
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K-theory Context Cohomology Special and general types Special notions Variants Operations Theorems Higher spin geometry Contents Idea What is called topological K-theory is a collection of generalized (Eilenberg-Steenrod) cohomology theories whose cocycles in degree 0 on a space $X$ can be represented by pai...
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Trimble n-category Context Higher category theory Basic concepts Basic theorems Applications Models Morphisms Functors Universal constructions Extra properties and structure 1-categorical presentations Content Todd Trimble’s definition of weak $n$-category is an example of a notion of weak omega-category wh...
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Complex Numbers raised to the power? February 12th 2013, 03:48 PM kmalik001 Complex Numbers raised to the power? If v = z(1)^6* z(2)^−4 determine |v| and angle(v). Also, obtain v in cartesian form. where z1= 3 +i z2 = -5 + 5i I don't know how to raise a complex power to a power. I have searched...
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Homework Help Posted by CMM on Monday, April 4, 2011 at 8:03pm. Find the value of the definite integral: int= integral sign int((x + 2)/(x^(3/2)),x= 16..25)dx I have no idea how to start this... would I get rid of the fraction? • Calc, - Alex, Monday, April 4, 2011 at 8:35pm you do it by converting it to in...
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analysis (mathematics) :: Graphical interpretation analysis Article Free Pass Graphical interpretation The above ideas have a graphical interpretation. Associated with any function f(t) is a graph in which the horizontal axis represents the variable t and the vertical axis represents the value of the function. Choos...
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Finding a Point on a Circle Date: 5/28/96 at 16:27:40 From: Anonymous Subject: Finding a point on a circle Given a point on the circumference of a circle P(x0,y0), the center of the circle C(a,b), and the X coordinate of another point on the circumference of the circle P(x1,y1), how do I find the y1 value? I already...
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Given f(x) = sin(x) , g(x) = 1/x , h(x) = |x|, state h(g(f(x)))? May 27th 2011, 04:05 PM #1 Newbie Joined May 2011 Posts 1 Given f(x) = sin(x) , g(x) = 1/x , h(x) = |x|, state h(g(f(x)))? Given f(x) = sin(x) , g(x) = 1/x , h(x) = |x|, state h(g(f(x)))? So I'm able to do the first two steps f(g(s...
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finding unknown constants in a function using calculus... September 12th 2012, 08:00 AM #1 Newbie Joined Aug 2012 From sweden Posts 8 finding unknown constants in a function using calculus... hello, so i'm stuck on this problem where im given the function with constants and the point it passes throug...
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The Quest for the Cosmological Parameters - M. Plionis 3.4. M/L observations Each astronomical object is characterized by a quantity called Mass-to-Light ratio, M/L. A convenient scaling of M/L is done by using the value of the solar neighbourhood, M[] / L[]. Then, observing M/L > M[] / L[] would imply the existence o...
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Large-Scale Surveys and Cosmic Structure - J.A. Peacock 4.1. Fourier analysis of density fluctuations It is often convenient to consider building up a general field by the superposition of many modes. For a flat comoving geometry, the natural tool for achieving this is via Fourier analysis. For other models, plane wav...
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Prime Number Formula Date: 11/11/2001 at 18:10:27 From: Ri Subject: Prime number formula I have to find out the formula Leonhard Euler used to find prime numbers. I just need the formula so I can put it into a spreadsheet. Thank you. Date: 11/11/2001 at 19:21:56 From: Doctor Paul Subject: Re: Prime number formul...
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Exercise 22 Exercise 22.2-1 Show the d and p values that result from running breadth-first search on the directed graph of Figure 22.2(a), using vertex 3 as the source. Answer:                                    d Values                                                                                              ...
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Background fields in twisted differential nonabelian cohomology The following are notes from an early talk on the material developed at differential cohomology in a cohesive topos. Related later lectures notes include twisted smooth cohomology in string theory and geometry of physics. This are notes for a talk...
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Two problem sums December 30th 2005, 02:07 AM shaurya Two problem sums 1.BY selling a Coat for $630, a shopkeeper gains 5%.find the cost price of coat 2.Paul Bought a car for $960 and sold it to David at a profit of 5%.David Sold it to Tommy at a profit of 10%.Find The money paid by Tommy for the car :c...
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Boardman-Vogt tensor product Context Higher algebra Algebraic theories Algebras and modules Higher algebras Model category presentations Geometry on formal duals of algebras Theorems Contents Idea The Boardman-Vogt tensor product is a natural tensor product on symmetric operads. It makes the category Operad o...
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Experiment My Home Page | Smart Home Page | The Smile Home Page | The Experiment | Analysis | Quiz EXPERIMENT: MEASURING THE ACCELERATION OF GRAVITY: a[g] Aristotle's idea that falling bodies on earth are seeking out their natural places sounds strange to us to...
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CFTs corresponding to affine Lie algebras up vote 4 down vote favorite 4 • I want to know how one can write down a CFT such that its conserved currents will satisfy some chosen (affine) Lie algebra $G$. On the few pages leading up to page 192 in here one can see see the analysis of the CFT obtained in the compa...
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Cheng space Cheng spaces Idea A Cheng space is a version of a measurable space developed by Henry Cheng? for constructive mathematics. Even in classical mathematics, however, Cheng spaces are more general than standard measure spaces. On the other hand, if we equip a measurable space with a $\sigma$-ideal of null sub...
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A max function of 2 variables max(a,b) September 24th 2011, 04:23 PM #1 Junior Member Joined Sep 2011 Posts 28 A max function of 2 variables max(a,b) The max function is a function of 2 variables and is defined as follows max(x,y) = x if x is greater or equal to y or it's = y if x is less than y ...
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Algorithm for arranging Cartesian points up vote 19 down vote favorite 2 I have few Cartesian points of the form : (x,y) where x and y both are non-negative integers. For e.g. (0,0) , (1,1), (0,1) I need an algorithm to arrange the above points in such a way that going from one point to other changes either x or y b...
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Canonic identification of the tangent space of the Grassmannian up vote 1 down vote favorite let $Gr(k,V)$ be the grassmannian of k-dimensional subspaces of the complex vector space $V$ of dimension $n>k$. I know that, given $K\in Gr(k,V)$, $T_{Gr(k,V),K}\simeq Hom(K,V/K)$, but i want to prove that this isomorphism i...
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What is the crucial difference the Maynard/Tao approach and Goldston-Pintz-Yildirim that extends to prime k-tuples with $k>2$ up vote 21 down vote favorite 7 Suppose $m$ is a positive integer. A quantity of interest is $$ H_m = \liminf_{n\to\infty} \left(p_{n+m} - p_n \right) $$ The twin prime conjecture, is, of cou...
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How accurate can genetic predictions be? Abstract Background Pre-symptomatic prediction of disease and drug response based on genetic testing is a critical component of personalized medicine. Previous work has demonstrated that the predictive capacity of genetic testing is constrained by the heritability and prevalen...
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Weekly Problem 45 - 2012 Copyright © University of Cambridge. All rights reserved. 'Weekly Problem 45 - 2012' printed from http://nrich.maths.org/ Let the number of boys in the class be $x$. Hence $\frac{10}{10+x}\times\frac{9}{9+x} = 0.15 = \frac{3}{20}$. Simplifying gives $1800=3(10+x)(9+x)$ and then $x^{2}+19x-5...
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Lebesgue Integral November 3rd 2010, 08:15 PM #1 Newbie Joined Sep 2010 Posts 16 Lebesgue Integral Hi everyone I coudnt have solved this problem, I hope you can give me some idea. Let $E$ a measurable set and $f \in L_1(E)$, $f > 0$. Prove that $\lim_{ n \rightarrow \infty} \int_E f^{1/n} d\...
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Homework Help Posted by Katie on Thursday, October 27, 2011 at 6:35pm. Lisa can shovel her drive way in 35 minutes. Tom can shovel the same drive way in 40 minutes. How long will it take them to do the job together? • Help - Steve, Friday, October 28, 2011 at 5:27am in one minute, Lisa can shovel 1/35 of the d...
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Can bird poop crack a windshield? A woman called in to Car Talk to say that she believes the windshield on her parked car was cracked from falling bird poop. Is this possible? Let's find out. If you would like to listen to this actual segment, here is the link to the Car Talk clip. What starting info do I have? The ...
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Econometrics by Simulation Original Code # Matching Item Information # Imagine that you are asked to create a test from an item pool that you have. # The item pool has 100 items and you have to create a test of 20 items in length. # Easy right? # The trick is that the test creators want the information on the test...
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Happy Numbers Date: 01/05/2006 at 18:05:04 From: margie Subject: What is a "happy" number? What is a "happy" number? What are all the two-digit "happy" numbers between one and one hundred that are multiples of four? I have never heard the term. Date: 01/06/2006 at 00:55:39 From: Doctor Minter Subject: Re: What i...
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Values of the multiplicative group over a ring spectrum up vote 4 down vote favorite In his notes on elliptic cohomology, Lurie defines the multiplicative group $\mathbb{G}_m$ over a ring spectrum $A$ as $\operatorname{Spec} A[\mathbb{Z}]$. What is the value $\mathbb{G}_m(B)$ of the represented functor at an $A$-algeb...
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How to make Ext and Tor constructive? up vote 26 down vote favorite 22 EDIT: This post was substantially modified with the help of the comments and answers. Thank you! Judging by their definitions, the $\mathrm{Ext}$ and $\mathrm{Tor}$ functors are among the most non-constructive things considered in algebra: (1) Th...
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Tanya Khovanova’s Math Blog Solomon Golomb invented the name many years ago. He wasn’t aware that his definition would end up creating Googling problems, for when you search for such a mathematical object you will stumble upon a lot of amphibians. Similarly, you can divide the same shape into 9 congruent pieces (see ...
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Does the Continuum Hypothesis hold for sets of a certain rank? up vote 9 down vote favorite 1 Hi I hope this question is accurate. Gödel and Cohen could show that the Continuum Hypothesis (CH) is independent from ZFC using models in which CH holds, and fails respectively. My question now is: If we take a large enough...
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Scheffe's method 7. Product and Process Comparisons 7.4. Comparisons based on data from more than two processes 7.4.7. How can we make multiple comparisons? 7.4.7.2. Scheffe's method Scheffe's method tests all possible Scheffé's method applies to the set of estimates of all possible contrasts among the factor leve...
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How do you construct a symplectic basis on a lattice? up vote 2 down vote favorite Is this possible to do constructively? The only sources that I have for the possibility of this construction is an exercise in Lang's Algebra (on p. 598, I believe) which states that one can be constructed, and then a construction given...
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Multiple choices: 1. Decision alternatives A)... | Course Hero Question: Multiple choices: 1. Decision alternatives A) should be identified... Multiple choices: 1. Decision alternatives A) should be identified before decision criteria are established. B) are limited to quantitative solutions C) are evaluated...
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Hubble time dilation From Conservapedia The Hubble time dilation is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer, so for small distances it looks roughly propotional to the distance. The exact effect is dτ / dt = exp( − r / R[s]), where τ is proper time at...
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How can I convert from a two-tailed to a one-tailed test? NOTE: This page has been delinked. It is no longer being maintained, and information on this page may be out of date. SPSS FAQ How can I convert from a two-tailed to a one-tailed test? When you conduct a test of statistical significance, whether it is from a ...
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Regularization and renormalization Eighty years ago, people encountered the first divergences - infinities - in the calculations based on quantum field theory: I chose Julian Schwinger as the top representative of these developments. It was a somewhat technical development but in some sense, it was as big a revolution...
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Operator splitting for the KdV equation The summer continues to allow some clearing of the backlog of projects accumulated during the academic year: Helge Holden, Kenneth Karlsen, Nils Risebro, and myself have uploaded to the arXiv the paper “Operator splitting for the KdV equation“, submitted to Math. Comp..   This pa...
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Can the Sum of 5 Odd Numbers Equal an Even Number? Date: 01/05/2003 at 08:18:46 From: Charlie Subject: Odd numbers that add to make an even number What are 5 odd numbers which, when added, equal 32 ? It is apparently logically impossible. This is a riddle. A friend of mine says that there is an answer that he has p...
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Order theory for computer scientists Haskell code The header for the Haskell code in this file is: import Data.Map as Map hiding (map) import Data.Set as Set hiding (map) type ℙ a = Set.Set a type k :-> v = Map.Map k v And, the ghc extensions used are: -XTypeOperators -XTypeSynonymInstances \ -XParallelListComp...
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patterns of fractions In the year 1560, many warlords were trying to take control of Japan. At that time, a small region called Owari was ruled by the Oda clan. Powerful warlords in surrounding areas were invading Owari, and people thought that the Oda clan would soon be lost. Nobunaga, who was the young leader of the...
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. 2. INHOMOGENEOUS UNIVERSE -- OBSERVATIONS The inhomogeneity of the Universe has been a major aspect of cosmology over the last 25 years. We have learned a great deal, especially from redshift surveys, and although things turn out to be fairly complicated in the sense that the Universe is not simple a pile of cluste...
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Haversine Formula in C# and in SQL The Haversine Formula class listed below is used to calculate the distance between two latitude/longitude points in either Kilometers or Miles.  I’ve seen the formula written in a few other languages but didn’t see any in C#.  So, here is the Haversine Formula in C#.  Before I show t...
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Elementary Surveying: An Introduction to Geomatics Overview Updated throughout, this highly readable best-seller presents basic concepts and practical material in each of the areas fundamental to modern surveying (geomatics) practice. Its depth and breadth are ideal for self-study. Includes a new Chapter 16 on Kinema...
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Head start on Calculus: Differentiation, Integration Date: 07/08/97 at 16:25:36 From: Diane Truesdale Subject: Calculus Dr. Math, I'm soon to be a Calculus student in high school. Could you please teach me some Calculus over the internet? I'm enrolled in Calculus BC, the harder of the two Calculus classes. Could y...
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The Erdős-Rényi Random Graph During the 1950′s the famous mathematician Paul Erdős and Alfred Rényi put forth the concept of a random graph and in the subsequent years of study transformed the world of combinatorics. The random graph is the perfect example of a good mathematical definition: it’s simple, has surprising...
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How Long? One of the most often-asked questions about climate data is, “How long a time period do we need to establish a statistically significant trend?” Statistical significance of trends is an issue which has been dealt with often at this blog and many others. Yet previous posts, at least here, have made general ...
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Tukey's method 7. Product and Process Comparisons 7.4. Comparisons based on data from more than two processes 7.4.7. How can we make multiple comparisons? Tukey's method considers all The Tukey method applies simultaneously to the set of all pairwise comparisons $$ \{ \mu_i - \mu_j \} \, . $$ The confidence coef...
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Wolfram Blog Check out Etienne’s updated predictions from Thursday, June 26 here. The FIFA World Cup is underway. From June 12 to July 13, 32 national football teams play against each other to determine the FIFA world champion for the next four years. Who will succeed? Experts and fans all have their opinions, but is ...
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Algorithm to select a set of numbers to reach a minimum total up vote 5 down vote favorite Given A set of numbers n[1], n[2], n[3], .... n[x] And a number M I would like to find the best combination of n[a] + n[b] + n[c] + ... + n[?] >= M The combination should reach the minimum required to reach or go beyond M wit...
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Thoughts On Economics I have been unsuccessful in getting my refutation of Austrian Business Cycle Theory accepted for publication in a peer-reviewed journal. My latest publically available version is downloadable from SSRN. I have had a later version rejected a couple of weeks ago. This version's references include ...
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over Covering map In mathematics , specifically topology , a covering map is a continuous surjective map p : C → X , with C and X being topological spaces, which has the following property: to every x in X there exists an open neighborhood U such that p^ -1(U) is a union of mutually disjoint ope...
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On the right track with this optimization problem? September 7th 2012, 03:15 PM Maskawisewin On the right track with this optimization problem? Question: A piece of 2 m long wire is to be cut into two pieces one of which is to be formed into a circle and the other into an equilateral triangle. How should the...
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11,798
11798
Calculating Stirling Numbers using C# A “Stirling number of the second kind” is the number of ways to group/partition n items into k subsets. For example, the number of ways to group n=4 items into k=2 subsets is 7. Suppose the 4 items are a, b, c, d. Then S(4,2) = 7 and the seven groupings are: (a | bcd), (b | acd), ...
5
[ -0.0167236328125, -0.0185546875, -0.05810546875, -0.035400390625, -0.07666015625, 0.03515625, 0.00482177734375, 0.01104736328125, 0.0107421875, 0.05322265625, -0.08154296875, -0.0281982421875, 0.0537109375, -0.01129150390625, -0.0303955078125, -0.0076904296875, 0.048095703125, 0.00...
11,799
11799