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HINGES - An Illustration of Gauss-Jordan Reduction - Outcomes and Solution I designed the first stage to reveal initially relatively little information to get students to begin thinking about the problem. In subsequent stages I gradually provided additional clues -- both visual and analytic -- to help students succeed....
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ing Fingerprints of Emissions and the Carbon Cycle: Stable and Radiocarbon Isotopes of Carbon Dioxide The Technical Details: Determining Delta Values Stable Isotopes When we talk about the isotopic ratio in a sample, we talk about the delta value. Let's look at how a delta value is actually calculated: 1. The fir...
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Improper integrals Chapter 6. Improper integrals 6.1 Integrating a function that blows up When we integrate a function that blows up to infinity at some point in the interval we're integrating, the result may be either finite or infinite. Example 1 ◊ Integrate the function x =0 to x =1. ◊ The function blows up...
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Plotting numbers in the complex plane? March 30th 2011, 04:02 AM cottontails Plotting numbers in the complex plane? (I'm unsure as to whether this question can be regarded as calculus, however, I am currently studying Differential Calculus at university as a first year subject so, I just made the assumption ...
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Reciprocity Reciprocity: "the principle or practice of give-and-take" Contents Introduction The reciprocity theorem does not appear in many recent textbooks, though it was always included in earlier texts (see References) on circuits, even at an elementary level. The text by Irwin is an exception, where a good trea...
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Quick Review 7-1 Unit 7 - Objective 1 - Equivalent Fractions Multiplying or dividing both the numerator and denominator of a fraction by the same numbers, except zero, results in a fraction that is equivalent to the original fraction. Equiv...
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analysis D-prime (signal detection) analysis 1. Taking response bias into account The model of discrimination performance discussed in the previous file assumes that when listeners do not hear a difference, or are not sure, they respon...
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Polygons Polygons and meshes In what follows are various notes and algorithms dealing with polygons and meshes. ...
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approximate integral July 31st 2006, 03:17 PM norivea Help needed! I really need some help answering the following question. There is an example of how it should be completed but I don't understand it. The example has a diagram and advises the use of either Trapezium rule or Simpson's rule. Question: Us...
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Probability that a random k-digit number contains at least one 0, 1, and 2 Let $k\geq 3$ be any given integer. What is the probability that a random k-digit number will have at least one 0, at least one 1, and at least one 2? I'm thinking that this could be answered via the principle of inclusion-exclusion, bu...
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sing Geometric Means (CPI-U-XG) Consumer Price Index The Experimental CPI using Geometric Means (CPI-U-XG) I. Overview Effective April 10, 1997, the Bureau of Labor Statistics (BLS) is releasing an experimental Consumer Price Index for All Urban Consumers that uses a geometric mean formula to combine individual pric...
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Continued Fractions Definition A simple continued fraction is an expression of the form \[ a_1 + \frac{1}{ a_2 + \frac{1}{ a_3 + ... } } \] where the $a_i$ are a possibly infinite sequence of integers such that $a_1$ is nonnegative and the rest of the seqence is positive. We often write $[a_1 ; a_2 , a_3, ...]$ in l...
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You can solve the cube - with commutators! After a couple years of living out of suitcases, we recently sold our house in Pasadena, and bought a new one in Hyde Park. All our junk was shipped to us, and the boxes we didn’t feel like unpacking are all sitting around in the attic, where the kids have been spending a lot ...
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Math Help July 16th 2010, 04:46 PM #1 MHF Contributor Joined Mar 2010 From Florida Posts 3,093 Thanks 5 76x+176y=276 $76x+176y=276$ $76x\equiv 276 \ \mbox{(mod 176)}\Rightarrow 76x\equiv -76 \ \mbox{(mod 176)}\Rightarrow x_0=-1$ $176y\equiv 276 \ \mbox{(mod 76)}\Rightarrow 24y\equiv 4...
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rabbit population February 12th 2009, 03:31 PM #1 Member Joined Jan 2009 Posts 91 rabbit population dN/dt = cN^1.01 (i) show that, if there are N(0) = 2 rabbits initially, and 16 rabbits after 3 months, then the population N(t) become unbounded at a finite time t (ii) does the population become ...
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To understand and apply the formula τ=Iα to rigid ob Physics Questions: To understand and apply the formula τ=Iα to rigid objects rotating about… Complete Question Text: To understand and apply the formula τ=Iα to rigid objects rotating about a fixed axis. To find the acceleration a of a particle of mass m, we use N...
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e Math Goodies is a free math help portal for students, teachers, and parents. Home | About Us | Contact Us | Privacy | ...
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Probability CHAPTER 1: PROBABILITY Introduction "Yes or no: was there once life on Mars?" I can't say. "What about intelligent life?"' That seems most unlikely, but again, I can't really say. The simple yes-or-no f...
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Homework 3. Assigned: Thu Feb 8. Due: Tue Feb 20 at midnight. 1. Show that the square root algorithm you implemented in Homework 1 is actually Newton's method: what is the function f(x) to which, when you apply Newton's method, you get the iteration that you implemented? First write down a function f(x) whose ro...
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IntroductionAngular Motion Estimation in a GF-IMUGF-IMU Fixed Accelerometers ConfigurationsDynamic Models to Be ConsideredWiener-Process Angular Acceleration ModelFirst-Order Markov Model (Singer Angular Acceleration Model)Other Models to Be ConsideredSensor Error Model and GF-IMU CalibrationThe Accelerometer Error Mod...
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Equations Math 240 Home , Textbook Contents , Online Homework Home First Order Homogeneous Equations Additional Examples Solve the followin...
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Power Series Solutions of ODE's February 10th 2008, 02:12 AM #1 Newbie Joined Feb 2008 Posts 2 Power Series Solutions of ODE's I have the following question that i am really stuck on please help. consider the differential equation (1+x^2)y''-6y=0. show that x=0 is an ordinary point of this equat...
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Trying to solve for y here.... September 12th 2010, 04:24 PM #1 Newbie Joined May 2010 Posts 9 Trying to solve for y here.... I'm working on a calculus problem, but I'm stuck with something algebraically: $x = y^2-7y$ I'm trying to solve for y so I can graph it. I started by factoring y: $...
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How much does a cloud weigh? I was chatting with a friend not long ago, and he mentioned that he sometimes pictured clouds as these malevolant, multi-ton monstrosities hovering overhead, just waiting to smash down on us tiny humans. And by the way, how much does a cloud actually weigh? Clearly, this calls for some mat...
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Re: st: Mata query [Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index] Re: st: Mata query From wgould@stata.com (William Gould, Stata) To statalist@hsphsun2.harvard.edu Subject Re: st: Mata query Date Wed, 02 May 2007 10:12:16 -0500 Adrian Mander <Adrian.Mander@mrc-hnr.cam.ac.uk> as...
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Sum Dealing with Multiple Criteria This article deals with a recurrent themem in modelling: summarising data that meets multiple criteria. By Liam Bastick, director with SumProduct Pty Ltd. Query I want to summarise the sales made by my business that meet various criteria (e.g. sales for a particular region for a ...
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09. Fourier Methods Overview To navigate this multi-page article: Use the drop-down lists and arrow icons located at the top and bottom of each page. Click here to download the If you have access to Sage and would like to interact with this art...
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cardinality if $X$ is any infinite set show that $|X| + |\mathbb{N}| = |\mathbb{N}|$ thats it thanks Well, that depends on what you know about infinity. If you know there exists a $B \subset X$ such that $|B|=|\mathbb{N}|$, you can find a bijection between $B\cup \mathbb{N}$ and $\mathbb{N}$ (that just means $B\cup \m...
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Win/loss game July 24th 2011, 07:45 PM #1 Junior Member Joined Jun 2011 Posts 45 Win/loss game The problem states: You play a game, and each time you win with probability p. You plan to play 5 games. However, if you win on the 5th game, you must keep playing until you lose. a) find the expected ...
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three circles inscribed in a big circle January 12th 2010, 05:24 AM #1 Newbie Joined Jan 2010 Posts 4 three circles inscribed in a big circle hello ! help me to solve this problem, please!! its really hard for me ! thank you so much and God bless you richly ! Three circles A,B and C are tangent ...
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Solving 2 Equations On 28 Feb., 15:44, "John D'Errico" <woodch...@rochester.rr.com> wrote: > "Michael Boyd" wrote in message <jiil4l$7b...@newscl01ah.mathworks.com>... > > "John D'Errico" <woodch...@rochester.rr.com> wrote in message <jiikjq$5n...@newscl01ah.mathworks.com>... > > > "Michael Boyd" wrote in message <jiie...
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Platonions In Timeas, Plato proposed a "theory of everything" based on two fundamental triangles, those with edge lengths proportional to 1,1,[] and 1,2,[].  Karl Popper speculated that Plato may have imagined that these particular triangles constitute a basis for the rational construction of all physically realizabl...
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subsets whose elements have equal sums (Pigeonhole) August 6th 2010, 05:48 PM #1 Junior Member Joined Jun 2010 Posts 27 subsets whose elements have equal sums (Pigeonhole) So I'm not sure where to start with this. I did a search and found some similar threads, but I'm still stumped. Let $A\subseteq\...
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Math Word Problems Mathematics is an interesting subject, but students need to understand its concepts in a thorough manner. Most importantly, students need to practice Math problems rigorously to enhance their understanding. They can take online learning help as this is personalized, understandable and easy to use. T...
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Introduction to A Gentle Introduction to connectionism for Neuro201, Spring 2008 The following is adapted from a series of lectures given to my STS 350, Introduction to Cognitive Science, classes. The Problem with Symbol Systems Cognitive science m...
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find derivative without using product//chain/or quotient rule.. July 16th 2012, 04:34 PM #1 Junior Member Joined Oct 2010 Posts 27 find derivative without using product//chain/or quotient rule.. Hello, Please could someone run through deriving these 2 equations through algebraic expansion. d/dx...
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Re: st: Random effects probit [Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index] Re: st: Random effects probit From Weihua Guan <wguan@stata.com> To statalist@hsphsun2.harvard.edu Subject Re: st: Random effects probit Date Tue, 17 Sep 2002 14:44:50 -0500 In the recent conversation...
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ive 15 Jul The NCTM holds to his promise to post interesting Problems to Ponder in the NCTM's newsletter. Here's one from the July 15 issue. In the figure below, quadrilateral ABCD is a square, and E is the midpoint of the side AD. How do the areas of regions I, II, III, and IV compare? Another way to think abou...
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Help Computing Intengral June 9th 2011, 10:23 AM lilyungn Help Computing Intengral I need help computing this integral with the different techniques mentioned below. ∫ 50 1/x dx 1 (thats a 50 at the top and a 1 at the bottom of the integram sign) - Right rectangular scheme - Left rectangul...
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Ball & Beam: Digital Ball & Beam: Digital PID Controller Design Key MATLAB commands used in this tutorial are: tf , c2d , step , stairs , feedback Contents The open-loop transfer function of the plant for the ball and beam experiment is given below: (1) The design criteria for this problem are: • Settling time...
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Mathematical Statistics with Applications 1. What Is Statistics? Introduction. Characterizing a Set of Measurements: Graphical Methods. Characterizing a Set of Measurements: Numerical Methods. How Inferences Are Made. Theory and Reality. Summary. 2. Probability. Introduction. Probability and Inference. A Review of Set ...
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solve system of equations using row operations on augmented matrix May 3rd 2013, 07:33 PM #1 Newbie Joined May 2013 From California Posts 1 solve system of equations using row operations on augmented matrix Hey guys I really need some help on solving 2 algebra problems. The question states: Solv...
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Kepler's Third Law Kepler discovered that the size of a planet's orbit (the semi-major axis of the ellipse) is simply related to sidereal period of the orbit.  If the size of the orbit (a) is expressed in astronomical units (1 AU equals the average distance between the Earth and the Sun) and the period (P) is measured...
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Physics Tutorial: F Physics Help » Physics Tutorial Index » Physics Tutorial: Friction Force Limits a Car's Acceleration on the Road Definition: The friction law states that the sliding friction force is proportional to the perpendicular reaction of the ...
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SmartHelping.com In my quest to become a better money maker, I ran across binary options. This has led me to learn much more about technical analysis as a good way to predict future price movement of underlying assets such as stocks/forex pairs/indices/commodities. In passing, I have come across something called a piv...
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The Geometry of Special Relativity A student learning special relativity for the first time must contend not only with counter-intuitive concepts such as time dilation and length contraction but also with fairly cumbersome equations such as the Lorentz equations x’ = γ (x – vt) t’ = γ (t – (v/c^2)x) (where γ = 1/√(1...
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numpy.polyint numpy.polyint¶ numpy.polyint(p, m=1, k=None)[source]¶ Return an antiderivative (indefinite integral) of a polynomial. The returned order m antiderivative P of polynomial p satisfies m - 1 integration constants k. The constants determine the low-order polynomial part of P so that ...
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Scala: Counting number of inversions (via merge sort) for an unsorted collection The first programming questions of algo-class requires you to calculate the number of inversions it would take using merge sort to sort a collection in ascending order. I found quite a nice explanation here too: Finding “similarity” ...
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Square ┌───────────────────────────────────────────────────────┐ │ Contents of this Page │ │What is a Square? An Infinite Geometric Series │ │Variables of the Square Largest and Smallest Rectangles│ │Only one Formula Writing Digits │ │Square Numbers ...
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The Akhmim Wooden Tablet - Background ┌──────────────────┬────────┬─────────────────────────┬────────────────────┐ │Egyptian Fractions│2/n roll│The Akhmim Wooden Tablet │Egyptian Math Papyri│ └──────────────────┴────────┴─────────────────────────┴────────────────────┘ ┌───┬─────┬──────┬──┬─┬─┬─┬─┬─┐ │AWT│next │ pages│-...
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Maclaurin series help November 8th 2012, 08:00 AM #1 Super Member Joined Sep 2008 Posts 607 Maclaurin series help $sin^{3}x = \frac{3}{4} sinx - \frac{1}{4}sin(3x)$ Use this identity and the Maclaurin series for sin x to show that $sin^{3} x = x^{3} - \frac{1}{2}x^{5} + \frac{13}{120}x^{7}$ ...
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STEP 2003 Solutions Thread You can let someone else take control of the OP whenever. STEP I: 1: Solution by Horizontal 8 2: Solution by Horizontal 8 3: Solution by Horizontal 8 4: Solution by Horizontal 8 5: Solution by Unbounded 6: Solution by Unbounded 7: Solution by Unbounded 8: Solution by Unbounded 9: Solution by ...
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New QuickDraw 3D Geometries A number of new QuickDraw 3D geometric primitives can save you time as you create 3D objects -- from footballs to the onion domes of the Taj Mahal. Most of these new primitives are very versatile, but this versatility comes at the cost of some complexity. Here you'll find a discussion of the...
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Ma Planetary Gear Planetary Gear component The Planetary Gear component models a gearbox without inertia, elasticity, or backlash. It consists of an inner sun wheel, an outer ring wheel, and a planet wheel located between sun and ring wheel. The bearing of the planet wheel shaft is fixed in the planet carrier. The ...
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Solving Quadratic Equations: Solving by Taking Roots Solving Quadratic Equations: Solving by Taking Square Roots (page 2 of 6) Sections: Solving by: factoring, taking roots, completing the square, using the formula, graphing Let's take another look at that last problem: • Solve x^2 – 4 = 0. Previously, I'd so...
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Mathematical Analysis: Functions of One Variable This is the first of several volumes on analysis by these authors. They were originally published in Italian, and then translated by the authors into English. The second volume is on Approximations and Discrete Processes, and a later volume on functions of several variab...
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Lower Bound on the Best Minimax Error 5. Lower Bound on the Best Minimax Error Non-uniform alternating sets We extend the definition of an alternating set to allow non-uniform distances. Let f be continuous on [a, b], and let p be a polynomial. A non-uniform alternating set of length n is a sequence of points x[0], ...
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The Washer Method for Solids of Revolution Objective: This demo builds a toolbox of teaching aids to illustrate various aspects of volume calculations using the washer method. Several props are used to demonstrate the geometric ideas of "washers" to obtain an approximation of the volumes of solids of revolution. A coll...
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Divisibility by prime April 15th 2010, 11:50 PM #1 Junior Member Joined Feb 2010 Posts 52 Divisibility by prime Let $\frac{m}{n} = 1 + \frac{1}{2} + \frac{1}{3} + \mbox{...} + \frac{1}{p-1}$ . $p$ is a prime number > 2 . Prove that $m$ is divisible by $p$. If $p > 3$, Prove that $m$ is divisible by $p^2$...
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Lifting World Old Forum Post Archive: Site Safety: Ground bearing Pressure and Mobile Crane Rigger mats. Author Topic There is currently an upswing in the size of rigger pads been calculated from the given bear...
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Generalized 5 Generalized Linear Models Generalized linear models are just as easy to fit in R as ordinary linear model. In fact, they require only an additional parameter to specify the variance and link functions. 5.1 Variance and Link Families The basic tool for fitting generalized linear models is the glm func...
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An Extended Kalman Filter 2010 From GICL Wiki Introduction: In the pursuit of constructing truly autonomous mobile robots, the simultaneous localization and mapping problem is considered as one of the most important problems. Simultaneous localization and mapping (SLAM) is the process by which a mobile robot can bui...
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Polynomial Arithmetic - Addition, Subtraction, Multiplication and Division of Univariate and Multivariate Polynomials Home >> Pre-Calculus >> P. Prerequisites << P.5. Polynomials >> P.7. Factoring Polynomials P.6. Polynomial Arithm...
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the derivative of arctan February 27th 2010, 12:11 PM #1 the derivative of arctan Hi, Hm, trying to get my head around this the derivative of arctan is $\frac{1}{1+x^2}$ So the derivative of $arctan(0.5sinx)$ should be: $\frac{cosx}{1+\frac{sin^2x}{4}}$ But that's apparently wrong. Why? ...
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optimzation problem # 10 August 15th 2009, 06:07 PM #1 Senior Member Joined Nov 2008 Posts 425 optimzation problem # 10 a rectangle is inscribed under the curve y=e^(-x)^2, with its base along the x-axis. Find the rectangle of largest area, subject to the restriction that the base does not exceed 4 units...
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From the Field Equations to the Kruskal Metric Schwarzschild said that half a year was ample time to learn the whole of astronomy. He gave me some books to read and tutored me a little, in exchange for my training him in tennis. When the examination came his first question was: ‘What do you do when you see a falling s...
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The Rule of 72 and Doubling Time A narrative essay by – Heather Spoonheim The drunken haze that I refer to as my ‘first year in University’ instilled within me three distinctly poignant lessons: that I did not want, in any way, shape, or form, to become a teacher; that one should never add water to a jar containing so...
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Mechanical-Thermal Noise in Drive-Mode of a Silicon Micro-Gyroscope Open Access This article is • freely available • re-usable Article Mechanical-Thermal Noise in Drive-Mode of a Silicon Micro-Gyroscope * Author to whom correspondence should be addressed; E-Mail: yangbo20022002@163.com ; Tel.: +086-25-837936...
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Commutative Algebra Extension and Contraction Let $f: R\rightarrow S$ be a ring homomorphism. Let $I \triangleleft R, J \triangleleft S$. The extension $I^e$ of $I$ (with respect to $f$) is $\langle f(I) \rangle$. Then contraction $J^c$ of $J$ (with respect to $f$) is $f^{-1}(J)$, which is an ideal in $R$. Note that ...
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eview Overview / review of basic group theory For: Math 420, 421 at Northern Illinois University From: Beachy/Blair, Abstract Algebra, Second Edition Covering: Sections 3.1 through 3.6 Groups, in general 3.1.3. Definition. A g...
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sicp-ex-2.8 ;; ex 2.8 ;; The max and min can be supplied to the constructor in any order. (define (make-interval a b) (cons a b)) (define (upper-bound interval) (max (car interval) (cdr interval))) (define (lower-bound interval) (min (car interval) (cdr interval))) ;; The minimum value would be the smallest po...
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Mathematical Treasures - Al-Khwarizmi's This is a page from al-Khwarizmi's algebra text, Kitab al-jabr wa l-muqabala, written in about 825, the first extant algebra text, by Muhammad ibn Musa al-Khwarizmi. This copy itself is undated, however. It corresponds to page 15 in the translation by Frederic Rosen: The Algebra...
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Screw Conveyor Power Calculation | Aug 11 Power requirement of Screw Conveyors: The driving power of the loaded screw conveyor is given by: P = P[H] + P[N] + P[st] Where, P[H] = Power necessary for the progress of the material...
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Problem about vectors: December 4th 2009, 01:45 AM #1 Junior Member Joined Sep 2009 Posts 26 Problem about vectors: "Find the coordinates of the point which divides the line segment joining A(2,3,5) to B(3, -1, 1) externally in the ratio 2 : 5. " How does one solve this problem? And what does "exter...
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The Triumph of the Median ;; The Triumph of the Median ;; http://lesswrong.com/lw/isk/a_voting_puzzle_some_political_science_and_a_nerd/ ;; And originally from Sideways Stories from Wayside School by Louis Sachar ;; The students have Mrs. Jewl's class have been given the privilege ;; of voting on the height of the sc...
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Distance, Rate, and Time MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free! Distance, Rate, and Time - Sample Math Practice Problems The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. Refere...
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Centrality - Top Videos From Wikipedia, the free encyclopedia   (Redirected from Degree centrality ) In graph theory and network analysis, centrality refers to indicators which identify the most important vertices within a graph. Applications include identifying the most influential person(s) in a social network, k...
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Sequence convergence proof What is the simplest way to proove $\lim_{n \to \infty} (1 + \frac{1}{n})^n = e$ Thanks This is the value of $e$ by definition. Recall that $e$ is defined to be the base of the exponential function such that this function is its own derivative. So if $\frac{d}{dx}(e^x) = e^x$ then we have $e...
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Accelerometers May 27th, 2012 at 9:28 pm by Dr. Drang Gabe linked to this recent video by Bill Hammack in which he talks about the workings of the accelerometers in our smartphones. You may have also seen it on Boing Boing. This is one of his best videos. It’s an especially good introduction to how silicon etching is...
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A prime ideal criterion for being Noetherian A prime ideal criterion for being Noetherian August 13, 2009 Posted by Akhil Mathew in algebra, commutative algebra. Tags: commutative algebra, Noetherian rings, prime ideals trackback This post, the third in the mini-series so far, gives one more criterion for when a ring...
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C Programming/C Reference/complex.h/cpow Cpow is a library function in the C programming language, used to calculate powers in the field of complex numbers It was added to the C programming language, together with complex number support, in the C99 standard. Complex Power FunctionEdit IntroductionEdit In mathematic...
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The Hindu : Common sense for math exercises Education Common sense for math exercises "Intelligence needs to be nurtured by guiding the students and not by solving the problems for them". Diagram 1 MY CHILD Apoorva, unab...
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pretty simple abstract value problem December 31st 2008, 08:25 AM #1 Junior Member Joined Nov 2008 Posts 62 pretty simple abstract value problem The senior class decided to have a picnic. A total of S seniors pledged to contribute equally for the $1000 fund. If 20 refused to honor their commitment, how m...
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Please help!! - thanks Re: Please help!! - thanks Member Registered: 2012-03-24 Posts: 1 Re: Please help!! - thanks gAr wrote: Hi caymanisland, The cost of the trip is an increasing function, so I assume that you mean that the cost must not increase beyond 30 $/hr. I solved the following eq...
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IntegerNumbers Integer numbers are whole numbers; they are always represented exactly (without a decimal point) in the computer word: -3, 0, 379, etc. For instance, 5 (decimal) is represented exactly by 101 (binary) in the computer. Since that's binary, the rightmost bit represents 2-to-the-zeroth power, or "one". Sinc...
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Inequalities and Functions Quadratic Equations, Inequalities and Functions Chapter 11: Quadratic Equations, Inequalities and Functions • Discuss different methods of solving quadratic equations • Methods for graphing quadratic equations • Applications of quadratic equations Section 11.1: Solving Quadratic Equations u...
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SOLVE 4 NONLINEAR EQUATIONS (HELP PLEASE) "Roger Stafford" <ellieandrogerxyzzy@mindspring.com.invalid> wrote in message <hrd86k$fje$1@fred.mathworks.com>... > > Even if it runs near the origin, forcing F to be 1 will encounter awkward accuracy problems. Roger, I don't think Roger it should not be any accuracy problem...
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Membrane-Based Characterization of a Gas Component — A Transient Sensor Theory Open Access This article is • freely available • re-usable Article Membrane-Based Characterization of a Gas Component — A Transient Sensor Theory Helmholtz-Centre for Environmental Research, T.-Lieser-Strasse 4, Halle 06120, Germany...
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1 • Coded Computation I • John E Savage 2 Lecture Outline • Coded Computation: Replace the repetition code with something more efficient. • First we review work from the 50s and 60s on coded computation, highlighting some negative results. • Next we look at Dan Spielman’s paper Highly Fau...
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Beyond Basic Arithmetic The Java programming language supports basic arithmetic with its arithmetic operators: +, -, *, /, and %. The Math class in the java.lang package provides methods and constants for doing more advanced mathematical computation. The methods in the Math class are all static, so you call them direc...
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The Magic Squares of Manuel Moschopoulos - The Method for Odd Squares - Three's and Five's (The method of counting by) three's and five's is as follows: We draw the square and we draw in it the cells of the number square. We then place the number one always in the middle of the topmost (row of) cells. We count three ce...
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The Normal Matrix Prev: Multi-Texture Next: Normalization Issues The gl_NormalMatrix is present in many vertex shaders. In here some light is shed on what is this matrix and what is it for. This section was inspired by the excellent book by Eric Lengyel “Mathematics for 3D Game Programming and Computer Graphics”. ...
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an Multicanonical Monte Carlo scheme for finding rare growth factors 05 Oct 2006 (Updated 05 Oct 2006) A multicanonical Monte Carlo (MMC) scheme developed to approximate the tails of growth factor probab mcmc2( X, M, sigma, P, binedge ) % Run of...
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Problem 5.12 Suppose you toss a tennis ball upward. (a) Does the kinetic energy of the ball increase or decrease as it moves higher? Kinetic energy (KE) is energy that an object possesses by virtue of it's mass and the fact ...
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What the Heck is a "Weighted Average"? - If you’ve done some GMAT preparation already, you’ve likely come across the concept of “weighted averages.” But what does that term really mean? In short, the term “weighted” is simply meant to indicate that separate groups of numbers have different numbers of elements and thus...
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Brute Force Archives | MathBlog In Problem 146 of Project Euler we are working with primes again, and some quite big ones even. The problem reads The smallest positive integer n for which the numbers n2+1, n2+3, n2+7, n2+9, n2+13, and n2+27 are consecutive primes is 10. The sum of all such integers n below one-milli...
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Big O - Explanation needed July 31st 2009, 11:29 AM #1 Junior Member Joined Mar 2009 Posts 32 Big O - Explanation needed I'm reading through a discrete math book and it's talking about Big O notation. The concept makes sense to me, but I don't understand how they're applying it. They give examples and st...
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IntroductionBackgroundNDVI-Isoline-Based LMMScaling Effects of the FVC on the Landsat7-ETM+Resolution Transformation ModelMonotonicity of the Area-Averaged FVCPartial Derivative of Δ ω ^ ¯ with Respect to ω2,1Analysis of ∂ Δ ω ^ ¯ / ∂ ω 2 , 1Behavior of Δ ω ^ ¯Monotonicity of the Area-Averaged F...
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Derivation / Proof of Ptolemy's Theorem for Cyclic Quadrilateral Ptolemy's theorem for cyclic quadrilateral states that the product of the diagonals is equal to the sum of the products of opposite sides. From the figure below, Ptolemy's theorem can be written as     Proof of Ptolemy's Theorem Note that the diagonal d...
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Evaluating Risk Probability is a fundamental concept in statistics, often thought of as “the odds.” It is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. As an example, the probability of picking an ace from a standard deck of cards is 4/52 or 7.7%. There is also the p...
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