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Find the Numbers Games Lost Numbers 20 is the 20th game in this hidden object style game series where you need to find all the numbers. Do to that, you need to use the magnifier and use your observation skills. Observe each scene and try to find all the numbers and cones if you wish to complete the achievements. Good l...
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David Gabai Spanning Laminations are Proper Abstract: Suppose that H^3 is given the Riemannian metric r induced from a Riemannian metric on a closed hyperbolic 3-manifold. Theorem If \sigma is a r-least area D^2-limit lamination spanning a smooth simple closed curve in S^2_\infty, then each leaf of \sigma is a proper p...
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Finally, LaTeX in HTML files Writing a paper in LaTeX will always result in beautiful output, but if you’d like to put that document up on the web you’re limited to two reasonable options: serve the document as a .PDF (with the horrors involves, although Chrome makes things much more palatable), or relying on third-par...
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MathGroup Archive: June 2006 [00113] [Date Index] [Thread Index] [Author Index] RE: Colored Tick Labels? • To: mathgroup at smc.vnet.net • Subject: [mg66941] RE: [mg66910] Colored Tick Labels? • From: "David Park" <djmp at earthlink.net...
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free vibration of cantilever beam Some Information About free vibration of cantilever beam ...
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Next: About this document ... CURRICULUM VITAE NAME: Ilias S. Kotsireas, Associate Professor CITIZENSHIP: Canadian ADDRESS: Wilfrid Laurier University, Department of Physics and Computer Science, 75 University Avenue West Waterlo...
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III Abstraction 16 Similarities Everywhere Many of our data definitions and function definitions look alike. For example, the definition for a list of strings differs from that of a list of numbers in only two regards: the name of the class of data and the words “string” and “number.” Similarly, a function that looks f...
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ith Algebra Fall 2010 Calculus with Algebra Listed in: Mathematics and Statistics, as MATH-05 John D. Condon (Section 01) Mathematics 05 and 06 are designed for students whose background and algebraic skills are inadequate for the fast pace of Mathematics 11. In addition to covering the usual material of beginning calc...
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Number of items: 3. Ibort, A. and Martínez Montalba, Celia (1996) Arnold’s conjecture and symplectic reduction. Journal of geometry and physics, 18 (1). pp. 25-37. ISSN 0393-0440 Abellanas, L. and Martínez Montalba, Celia (1993) Lie symmetries versus integrability in evolution equations. Journal of physics A: Mathemati...
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Explicit Casting? July 14th, 2013, 04:54 PM #1 Junior Member Join Date Jul 2013 Thanked 0 Times in 0 Posts Reading my text book and it says that implicit casting will work if the result of a casting fits into the target variable. If it doesn't I'm told to use explicit tasking. EXAMPLE (IMPLICIT) byt...
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Positive definite March 22nd 2010, 05:51 AM #1 Sep 2007 Positive definite Hi guys, can you please help me out?? A and B are nonsingular matrices and positive definite. Show that: If $A-B>0$ , then $B^{-1}-A^{-1}>0$ What I have tried I tried showing $B^{-1}-A^{-1}$ is a quadratic form but firstly...
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Static Tension Question 1. A 120 ft tower is being held by three cables in tension. Cable AO is in 1000 lb of tension. Find the tension in the other cables and the vertical force from the tower if the whole system is at rest. 3. So using lots and lots of trig I was able to find most of the magnitudes, thetas, and phi's...
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Daily Peloton - Pro Cycling News Welcome to live coverage of Paris-Nice! Today, the riders face the 166.5km drag from Chaville, just outside of Paris, to Montargis. The ride will be south over five rolling Cat 3 hills in the first 69km. Then for the rest of the day, it's still south over roads flatter than a Texas road...
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Zentralblatt MATH Publications of (and about) Paul Erdös Zbl.No: 079.06304 Autor: Erdös, Paul; Shapiro, Harold N. Title: On the least primitive root of a prime. (In English) Source: Pac. J. Math. 7, 861-865 (1957). Review: Let g(p) be the ...
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How do you write an equation in standard form when given two points which the line passes through? A number is a mathematical object used to count, label, and measure. In mathematics, the definition of number has been extended over the years to include such numbers as 0, negative numbers, rational numbers, irrational n...
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Principal Component Analysis (PCA) Principal Component Analysis (.pdf) Principal component analysis (also known as principal components analysis) (PCA) is a technique from statistics for simplifying a data set. It was developed by Pearson (1901) and Hotelling (1933), whilst the best modern reference is Jolliffe (2002)....
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Gravity Homework Physics 152: Gravity Homework (and some Exam) Problems Michael Fowler 6/1/07 1. Warm-up exercise: deriving acceleration in circular motion from Pythagoras’ theorem. Imagine a cannon on a high mountain shoots a cannonball horizontally above the atmosphere at the right speed for it to go in a circular ...
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Short and Tweet October 26, 2012 Proofs that are about the length of a tweet. Jack Dorsey is the creator of Twitter. We thank him for the creation of of tweets, which are of course messages of up to 140 characters in length. Today Ken and I wish to talk about very short proofs—proofs that could almost fit into a single...
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The physicist, in his study of natural phenomena, has two methods of making progress: (1) the method of experiment and observation, and (2) the method of mathematical reasoning. The former is just the collection of selected data; the latter enables one to infer results about experiments that have not been performed. Th...
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[SciPy-Dev] Numpy special methods and NotImplemented vs. TypeError Hoyt Koepke hoytak@stat.washington.... Tue Mar 8 15:57:33 CST 2011 I've been working on implementing a matrix-like class of symbolic objects that have to interact seamlessly with numpy arrays. It's a wrapper for CPlex's Concert library, which effective...
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A very disturbing question... If you choose an answer to this question at random, what is the chance you will be correct? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we can...
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algebraic steps December 3rd 2009, 04:30 PM #1 Nov 2009 Hello, I cannot recall my algebra. how does this go from n(n+1)/2 +(n+1) n(n+1) + 2(n+1)/2 I'm missing a step in between. Can anyone show me? thank you. Hi there. Do you mean: $\frac{n(n+1)}{2}+(n+1)$ ? If so, you can't chan...
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Research Interests My primary research area is 3-dimensional topology and knot theory. I am verry interested in invariants of 3-manifolds and knots that are constructed using gauge theory, such as Floer homology, the Casson invariant, and SU(n) generalizations of these invariants. I am also interested in the topologica...
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Working with Shapes Students review basic geometric terms related to triangles. They explore these terms and other geometric concepts by modeling them on the geoboard. To assess students' prior geometric knowledge, make a KWL Chart as a group. Record on the overhead projector or on a chart in the classroom. You and the...
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Mixture/Solution Problem 2 January 13th 2011, 04:46 AM #1 Jan 2011 Mixture/Solution Problem 2 Hi All, One term I'm not getting in the below.. Q: 5 litres of water is added to a certain quantity of pure milk costing $3 per litre. If, by selling the mixture at the same price as before a profit of 20% is m...
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Modelling and problem solving - quadratic equations January 7th 2013, 07:32 PM #1 Junior Member Jan 2013 Gold coast Modelling and problem solving - quadratic equations Can you help with the following problem? Tom leaves town A and rides at a constant speed towards B. Julie leaves town B at the same tim...
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Math Forum Discussions Math Forum Ask Dr. Math Internet Newsletter Teacher Exchange Search All of the Math Forum: Views expressed in these public forums are not endorsed by Drexel University or The Math Forum. Topic: What changes a NHST into a No-NHST? Replies: 2 Last Post: Dec 15, 2012 5:55 PM Messages: [ Previ...
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A function is a special kind of relation where each thing in the domain may be paired with only one thing in the range. These guys are all about monogamous relationships. Sample Problem Here's a relation whose domain is {Jane, John, Jill} and whose range is {Home, Store}. Usually we see numbers and variables in equatio...
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Seperable Intial-Value Problem January 30th 2011, 09:38 AM Seperable Intial-Value Problem $(x^2+3y^2)dx + (2xy)dy = 0$ so this homogeneous eqn. needs to be transformed into a separable eqn. right? $y=vx , v=\frac{y}{x}$ $\frac{dy}{dx}=\frac{x^2+3y^2}{2xy}$ or is it $\frac{x^2+3y^2}{2x}dx - \frac{y}{1}dy...
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Math Forum Discussions Math Forum Ask Dr. Math Internet Newsletter Teacher Exchange Search All of the Math Forum: Views expressed in these public forums are not endorsed by Drexel University or The Math Forum. Topic: F-test for comparing variances? Replies: 4 Last Post: Nov 10, 2006 1:04 AM Messages: [ Previous ...
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Mplus Discussion >> Defining outcomes as categorical vs. continuous Lois Downey posted on Monday, October 13, 2008 - 5:31 pm Our factor indicators are 11-category ordinal measures with only the extreme values defined: 0 = terrible; 10 = almost perfect. Almost all have significant negative skew. In the past, we have mod...
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Chemistry Formulas for Class XI, XII and Under Graduates Chemistry Formulas for Class XI, XII and Under Graduates 2012 Download Chemistry Formulas For Class XI , Class12 and Under Graduates Chemistry Formulas: Ideal Gas law PV = nRT n = number of moles R = universal gas constant = 8.3145 J/mol K Boyle’s law P[1]V[1] = ...
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CDES 120 In this course you will learn to: • describe child behaviors and teacher-child interactions accurately and objectively within a developmental perspective • select effective observational techniques to observe, record and report child behavior and interactions • observe and analyze children's behavior •...
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Dependent variables 34,117pages on this wiki Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social | Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology | Statistics: Scientific method ·...
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Posts by Posts by Bri Total # Posts: 195 THANKS. I figured it out. how do i find the rate constant? i got N=0.83 does the seem right? suppose that you place exactly 100 bacteria into a flask containing nutrients for the bacteria and that you find the following data at 37 °C: t (min):0 15.0 30.0 45.0 60.0 Number of bac...
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[Numpy-discussion] upcast Lars Friedrich lfriedri at imtek.de Wed Aug 30 11:39:43 CDT 2006 I would like to discuss the following code: import numpy as N a = N.array((200), dtype = N.uint8) print (a * 100) / 100 b = N.array((200, 200), dtype = N.uint8) print (b * 100) / 100 The first print statement will print "200" bec...
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TRIPODing along... July 11th 2010, 09:24 AM #1 MHF Contributor Dec 2007 Ottawa, Canada TRIPODing along... A tripod has equal length legs = a. It sits on an isosceles triangular base, sides b,b,c. It has height = h. If the base is changed to sides b,c,c, what is the new height (as an expression)?...
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Which statement is true of a regression line that is superimposed on the scatter plot? A. It guarantees that the slope and intercept are minimized. B. It guarantees the largest possible sample variance. C. It is computed using the maximum and minimum values. D. It is computed using the Ordinary Least Square...
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the first resource for mathematics Advanced algebra. Along with a companion volume ‘Basic algebra’. (English) Zbl 1133.00001 Cornerstones. Basel: Birkhäuser (ISBN 978-0-8176-4522-9/hbk; 978-0-8176-4533-5/set). xxiv, 730 p. EUR 54.90/net, SFR 95.00, $ 69.95, £ 42.00; EUR 69.90, SFR 125.00, $ 89.95, £ 54.00/set (2007). T...
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188 helpers are online right now 75% of questions are answered within 5 minutes. is replying to Can someone tell me what button the professor is hitting... • Teamwork 19 Teammate • Problem Solving 19 Hero • Engagement 19 Mad Hatter • You have blocked this person. • ✔ You're a fan Checking fan status... Thanks...
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convert 50mm into inches You asked: convert 50mm into inches Say hello to Evi Evi is our best selling mobile app that can answer questions about local knowledge, weather, books, music, films, people and places, recipe ideas, shopping and much more. Over the next few months we will be adding all of Evi's power to this s...
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[Numpy-discussion] speeding up operations on small vectors Bruce Southey bsouthey@gmail.... Tue Oct 11 12:29:41 CDT 2011 On 10/11/2011 12:06 PM, Skipper Seabold wrote: > On Tue, Oct 11, 2011 at 12:41 PM, Christoph Groth<cwg@falma.de> wrote: >> Skipper Seabold<jsseabold@gmail.com> writes: >>> So it's the dot function ...
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gentype remquo ( gentype x, gentype y, __global intn *quo) gentype remquo ( gentype x, gentype y, __local intn *quo) gentype remquo ( gentype x, gentype y, __private intn *quo) The remquo function computes the...
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Speed of Light in Air Index of Refraction of Air (last edited 12/20/2006 ) Dr. Larry Bortner To find the index of refraction of air at 15 ̊C and 101.325 kPa using an interferometer. Air, or any other low density gas, retards a light wave going through it, but it does not slow it down very much. The quantity that we use...
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A Conversation with Shayle R. Searle Statistical Science A Conversation with Shayle R. Searle Born in New Zealand, Shayle Robert Searle earned a bachelor’s degree (1949) and a master’s degree (1950) from Victoria University, Wellington, New Zealand. After working for an actuary, Searle went to Cambridge University wher...
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Pseudosolutions of the time-dependent minimal surface problem - IEEE Trans. on Image Processing , 1998 "... Abstract—We introduce a new geometrical framework based on which natural flows for image scale space and enhancement are presented. We consider intensity images as surfaces in the space. The image is, thereby, a ...
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Intuition for mean curvature. up vote 11 down vote favorite I would like to get some intuitive feeling for the mean curvature. The mean curvature of a hypersurface in a Riemannian manifold by definition is the trace of the second fundamental form. Is there any good picture to have in mind, when dealing with it? add com...
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9th circle test paper and Assignments CLASS IX CIRCLE GEOMETRY Test paper-1 1. Define the following and mark them in a circle: (I) Centre of a circle (ii) Chord (iii) Secant (iv) Sector (v) Major and minor segment 2. Complete the following statements. (I) Equal chords of a circle subtend.... (ii) If the angles subtende...
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Nerves of simplicial objects in categories/Waldhausen's S-construction up vote 1 down vote favorite Is there a good nerve-like functor from simplicial objects in categories to simplicial sets which takes level-wise equivalences of categories to weak equivalences? To give this some context, I'd like to extract a simplic...
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Solution Book 6th Class Math Punjab Text Book Meri Kitab, Urdu Book, Punjab Text Book Board Lahore Meri Kitab, Jamaat Awwal (Part One) Meri Kitab, Jamaat Doaim (Part Two) Meri Kitab, Jamaat Soaim (Part Three) 6th Grade Math Books. There are so many workbook publishers; it can be overwhelming when you ... Using the virt...
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Chemistry Formulas for Class XI, XII and Under Graduates Chemistry Formulas for Class XI, XII and Under Graduates 2012 Download Chemistry Formulas For Class XI , Class12 and Under Graduates Chemistry Formulas: Ideal Gas law PV = nRT n = number of moles R = universal gas constant = 8.3145 J/mol K Boyle’s law P[1]V[1] = ...
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Seat Pleasant, MD Math Tutor Find a Seat Pleasant, MD Math Tutor ...I focus on teaching one-on-one in those subjects that can be figured out, not memorized. I can help in history, but I excel in math, reading, science, computer science and writing. I work on the basics and let the student understand the concept ins...
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What subgroups of M-groups are guaranteed to be M-groups themselves? up vote 3 down vote favorite Let $G$ be a finite M-group (ie, where all irreducible complex characters are induced from linear characters of subgroups). What subgroups of $G$ are necessarily themselves M-groups? For instance, clearly any nilpotent sub...
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Proposition 12 To set up a straight line at right angles to a given plane from a given point in it. Let the plane of reference be the given plane and A the point in it. It is required to set up from the point A a straight line at right angles to the plane of reference. From an elevated point B draw BC perpendicular to ...
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Lego Pentagon Speed build: It's pentagon time... awwwww yeah! The wild offspring of Mr. Square and Mrs. Hexagon; baby Pentagon is here to rock your world! Lego thought: Don't you just love the sound of Lego bricks? I love the sound a pile of 1x2s makes when you reach in to grab the ones you want. I also love the sound ...
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Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: Find the lowest common denominator for the set of fractions. 7...
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MAT-181 Objectives MAT-181 Statistics I Unit 1 1. Differentiate between descriptive and inferential statistics 2. Identify types of data 3. Identify the measurement level of a variable 4. Identify basic sampling techniques 5. Organize data using frequency distributions 6. Represent frequency distributions graphic...
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Summary: On the Dimension of Multivariate Piecewise Polynomials Peter Alfeld Department of Mathematics University of Utah Salt Lake City, Utah 84112 Note: A slightly different version of this paper is to appear in the Proceedings of the Biennial Dundee Conference on Numerical Analysis, June 25­28, 1985, Pitman Publishe...
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Re: Evolution's Imperative Bodester (jbode77@ursa.calvin.edu) Wed, 24 Mar 1999 14:02:12 -0500 (EST) >> >So I guess that when God says that Solomon had a circular tub built that >> was >> >thirty cubits in circumference and 10 cubits in diameter, the value of >> pi >> >must really be 3 (otherwise the circumference of a ...
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Math Joke Answers The jokes Q: What did the constipated mathematician do? A: He worked it out with a pencil! OK, not going to try to explain this one. Q: What's purple and commutes? A: An Abelian grape. A group is a set of things (think "numbers", but they could be sides of a cube, or colors, or anything you want) alon...
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Humble Algebra 1 Tutor ...I also spend lots of time extending my word usage by reading the dictionary. One of my bachelors from MSU was in the field of Psychology. I am also Professionally Licensed to teach all levels of Psychology, including AP which is Advanced Placement Psychology. 9 Subjects: including algebr...
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Physics Forums - Closed set (metric spaces) Closed set (metric spaces) Suppose [itex]f:\mathbb{R}\to \mathbb{R}[/itex] is a continuous function (standard metric). Show that its graph [itex]\{ (x,f(x)) : x \in \mathbb{R} \}[/itex] is a closed subset of [itex]\mathbb{R}^2[/itex] (Euclidean metric). How to show this is c...
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Summary: Notes on cellular automata J.-P. Allouche, M. Courbage, G. Skordev 1 Introduction Cellular automata were introduced by J. von Neumann (see 29]) after a suggestion of S. Ulam 147, p. 274]. They are a self-reproducing model, that was designed in order to answer the question \is it possible to construct robots th...
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Build you're own sunburst deck railing....step by step All of us admire fancy woodworking while wishing we had the skills to include it in our home projects. The sunburst deck railing is one such feature that attracts attention and you can build The sunburst deck rail design is relatively easy to build, but requires ...
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Circular Cross Correlation - File Exchange - MATLAB Central CXCORR Circular Cross Correlation function estimates. CXCORR(a,b), where a and b represent samples taken over time interval T which is assumed to be a common period of two corresponding periodic signals. a and b are supposed to be length M row vectors, either ...
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Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: Can someone help me please... Thanks A new cruise ship line ha...
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Hitting time probability in a Random Walk with possibility to die. up vote 1 down vote favorite A Random Walker can move of one unit to the right with probability $p$, to the left with probability $q$ and it can jump again to the starting point with probability $r$ and die. Naturally $p+q+r=1$. The walker starts moving...
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[Numpy-discussion] performance matrix multiplication vs. matlab Bruce Southey bsouthey@gmail.... Mon Jan 18 13:10:01 CST 2010 On 01/18/2010 12:47 PM, Vicente Sole wrote: > Quoting Bruce Southey <bsouthey@gmail.com>: >> If you obtain the code from any package then you are bound by the terms >> of that code. So while a u...
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Multiplication/Division problem with big Hey folks, Recently I wrote a program to the athematic operations with large numbers traditionally known as bigint. Last edited on I'm no expert, but I think there's probably a problem with checking the relational operators "!=" and ">=" for the Bigint class. I agree with fg109...
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What to read to catch up on multivariate statistics? - Statistical Modeling, Causal Inference, and Social Science What to read to catch up on multivariate statistics? Henry Harpending writes: I am writing to ask you for a recommendation of something I can read to catch up on multivariate statistics. I am happy with...
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Math Help July 25th 2006, 04:32 PM #1 Jun 2006 What is the fractional decrease in pressure when a barometer is raised 35 m to the top of a building? (Assume that the density of air is constant over that distance.) What is the fractional decrease in pressure when a barometer is raised 35 m to the top of a b...
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Kendall's Tau and Spearman's Rank Correlation Coefficient - Statistics Solutions There are two accepted measures of non-parametric rank correlations: Kendall’s tau and Spearman’s (rho) rank correlation coefficient. Correlation analyses measure the strength of the relationship between two variables. Kendall’s tau and Sp...
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Re: st: loglikelihood and loglikelihood ratio [Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index] Re: st: loglikelihood and loglikelihood ratio From jjc.li@utoronto.ca To statalist@hsphsun2.harvard.edu Subject Re: st: loglikelihood and loglikelihood ratio Date Tue, 17 Mar 2009 10:18:17...
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ksvanhorn comments on Probability is in the Mind - Less Wrong Comments (181) Sort By: Old You are viewing a single comment's thread. Show more comments above. "Is it not true that when one rolls a fair 1d6, there is an actual 1/6 probability of getting any one specific value?" No. The unpredictability of a die roll or ...
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MathGroup Archive: May 2009 [00069] [Date Index] [Thread Index] [Author Index] Re: mathematica newbie trouble • To: mathgroup at smc.vnet.net • Subject: [mg99303] Re: [mg99276] mathematica newbie trouble • From: Leonid Shifrin <lshifr a...
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Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: 1. Write the basic plot of the story "The Three Little Pigs". ...
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Semiclassical foundation of universality in quantum chaos We sketch the semiclassical core of a proof of the so-called Bohigas-Giannoni-Schmit conjecture: A dynamical system with full classical chaos has a quantum energy spectrum with universal fluctuations on the scale of the mean level spacing. We show how in the sem...
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Energy asymptotics for Gaudin spin chains. An Isaac Newton Institute Workshop Random Matrix Theory and Arithmetic Aspects of Quantum Chaos Energy asymptotics for Gaudin spin chains. Author: John Toth (McGill University) I will discuss recent work (joint with M. Min-Oo) on partition function asymptotics for the integrab...
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Classic Diophantine problem March 26th 2009, 09:05 PM #1 Mar 2009 Classic Diophantine problem For two postage stamp values, one of *n* cents and one of *m* cents the following Diophantine equation mx + ny = T gives the total value of postage or T, where x and y represent the number of each denominat...
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Profiles of Women in Mathematics: Judith D. Sally Judith D. Sally Noetherian Rings ...
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MathGroup Archive: February 2004 [00410] [Date Index] [Thread Index] [Author Index] Re: Solve or LinearSolve or ...? • To: mathgroup at smc.vnet.net • Subject: [mg46382] Re: [mg46347] Solve or LinearSolve or ...? • From: Daniel Lichtbla...
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Parallel Sessions All presentations take place in or near the Neilson Room at the Heldrich Hotel , 10 Livingston Avenue, New Brunswick, New Jersey 08901. Neilson Room : Transaction Cost Modeling Chair: Paul Feehan Andreas Hamel (Yeshiva University) A set-valued approach to utility maximization in markets with transacti...
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A Constant Torque Of 21.5 N·m Is Applied To A ... | Chegg.com A constant torque of 21.5 N·m is applied to a grindstone whose moment of inertia is 0.130 kg·m2. Using energy principles, and neglecting friction, find the angular speed after the grindstone has made 13.0 revolutions. Hint: the angular equivalent of W_(net) ...
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Proving continuity multiple ways April 7th 2010, 03:38 PM #1 Aug 2007 Proving continuity multiple ways The question asks us to prove that f(x) = {(2x^2-18)/(x+3) if x =/= -3, and -12 if x= -3} is continuous at Xo = -3 I proved it fairly easily using the epsilon/delta definition, but now have to do i...
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Fredrik Johansson Thursday, January 26, 2012 I'm moving my blog to . If you're living in the future and reading this, you should go there instead! Wednesday, June 8, 2011 Version 2.2 of (Fast Library for Number Theory) was last weekend. Some updated are available. In this blog post, I'm going to talk a bit about featur...
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MathFiction: A Catastrophe Machine (Carter Scholz) A well-written, vaguely surrealistic story loosely based on the real mathematical field of catastrophe theory and set within the context of the Vietnam War. The title is taken from an invention of mathematician Charles Zeeman which illustrates an essential feature of R...
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