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A Simple Hybrid Model for Short-Term Load Forecasting Journal of Engineering Volume 2013 (2013), Article ID 760860, 7 pages http://dx.doi.org/10.1155/2013/760860 Research Article A Simple Hybrid Model for Short-Term Load Forecasting ^1Mathematics Department, GVP College of Engineering for Women, Visakhapatnam 530048...
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Common Coupled Fixed Point Theorems of Single-Valued Mapping for Abstract and Applied Analysis Volume 2012 (2012), Article ID 901792, 24 pages http://dx.doi.org/10.1155/2012/901792 Research Article Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces School of Mathematic...
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Linear Algebra Preliminaries in "Finite Reflection Groups" by Grove and Benson March 4th 2012, 12:36 AM #1 Linear Algebra Preliminaries in "Finite Reflection Groups" by Grove and Benson I think, that I have understood the folowing argument in Grove & Benson. Can someone please check my argument? Basically, t...
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Finding solutions for sin on a unit circle. September 10th 2012, 03:29 PM Chaim Finding solutions for sin on a unit circle. Hi! I was confused with this. I have to find all the solutions for 0<x<360^o if sinethreex=(square root2)/2 So I was confused with this. I know (square root2)/2 occurs in 4...
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Interest rate swap problem June 5th 2012, 03:35 AM downthesun01 Interest rate swap problem An interest rate swap is based on the yield curve given below. $s_{1}=0.03$ $s_{2}=0.04$ $s_{3}= x$ $s_{4}=0.05$ The fixed payment swap rate is R=0.4936. Find the 3-year spot rate x. I'm having t...
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Integral Questions August 15th 2007, 07:07 AM #1 Integral Questions How do u integrate: $<br /> \int {x sec^{ 2 } x \,dx}<br />$ $<br /> \int_{1}^{e} \dfrac{ln \frac{1}{x}}{x}<br />$ $<br /> \int_{0}^{1} {x 3^{ x } \,dx}<br />$ $<br /> \int \dfrac{ln \frac{1}{x}}{x^{3}}<br />$ Help on any...
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Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces Journal of Function Spaces and Applications Volume 2013 (2013), Article ID 784983, 9 pages http://dx.doi.org/10.1155/2013/784983 Research Article Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces Department ...
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Induction Proof n May 30th 2013, 08:13 PM #1 Junior Member Joined Jul 2011 Posts 34 Induction Proof n Hi, so I need to prove that 2^n > n for all positive numbers. I'm not sure if this is the right place to post this (couldnt find anywhere for basic proofs, but this is for my college linear algebra/i...
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Cross product and dot product of forces expressed as complex numbers 1. The problem statement, all variables and given/known data I have came up with an example to illustrate my question. There is a rod, which can turn around p1. p1p2 = (-1+j) m p1p3 = (-3 + 3j) m p1p4 = (1 - j ) m F1 = (1+3j) N F3 = (-1 - 2j ) ...
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Integral Proof May 14th 2010, 02:15 AM #1 Junior Member Joined Apr 2010 Posts 56 Integral Proof I have been asked to justify if the following statement is true or false. 'If the integral of f(x) >= 0 on [a,b], then f(x) is >= 0 on [a,b]. Would (8-x^2) over the domain [-4,4] be a counter example...
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Solid Suspension by an Upflow Mixture of Fluid and Larger Particles Advances in Mechanical Engineering Volume 2013 (2013), Article ID 859756, 8 pages http://dx.doi.org/10.1155/2013/859756 Research Article Solid Suspension by an Upflow Mixture of Fluid and Larger Particles Dipartimento di Ingegneria Civile, Chimica e...
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Channel Estimation in DCT-Based OFDM The Scientific World Journal Volume 2014 (2014), Article ID 813429, 6 pages http://dx.doi.org/10.1155/2014/813429 Research Article Channel Estimation in DCT-Based OFDM Institute of Communication Engineering, PLA University of Science and Technology, Yudao Street 14, Nanjing 21000...
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Proposition 7 If on the diameter of a circle a point is taken which is not the center of the circle, and from the point straight lines fall upon the circle, then that is greatest on which passes through the center, the remainder of the same diameter is least, and of the rest the nearer to the straight line through the...
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A Generalization of a Greguš Fixed Point Theorem in Metric Spaces Journal of Applied Mathematics Volume 2014 (2014), Article ID 580297, 5 pages http://dx.doi.org/10.1155/2014/580297 Research Article A Generalization of a Greguš Fixed Point Theorem in Metric Spaces ^1Department of Mathematics, King Abdulaziz Universi...
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Alternatives to Mixture Model Analysis of Correlated Binomial Data ISRN Probability and Statistics Volume 2012 (2012), Article ID 896082, 10 pages http://dx.doi.org/10.5402/2012/896082 Research Article Alternatives to Mixture Model Analysis of Correlated Binomial Data ^1Department of Mathematics and Statistics, Old ...
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Control with Finite-Time Stability for Switched Systems under Asynchronous Switching Mathematical Problems in Engineering Volume 2012 (2012), Article ID 929503, 16 pages http://dx.doi.org/10.1155/2012/929503 Research Article Control with Finite-Time Stability for Switched Systems under Asynchronous Switching ^1Insti...
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Present Value, Future Value, Rate June 16th 2007, 03:38 PM #16 X?? p= m/(1+rt) ...........this is the formula given 2000= X/(1+0.15*6/12) + X/(1+0.15*12/12) ....the interest is applied per year. we have 2 payments, one is after 6 months, the other is after a year. 6 months is 6/12 of a year (since we ha...
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substitution method question April 9th 2006, 10:22 PM cinder substitution method question Do can you tell when you can use the substitution method? I just tried it on $\int_{-1}^0(2x+3)^2dx$, but I don't get the right answer unless I square the $(2x+3)$ and then proceed normally. What about substitution on ...
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Another problem (additive function) November 11th 2006, 01:14 PM JackStolerman Another problem (additive function) Suppose f is continuous R to R and that f(x+y)=f(x)+f(y) for all x and y. Prove that f(x)=xf(1). Hint: Prove the result for all Z and then for all Q. Any help appreciated. Jack Novembe...
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Dot product and Angle January 26th 2011, 03:17 PM nautica17 Dot product and Angle This is a question from calculus 3 class. "Find the dot product of the vectors and the cosine of the angle between them." u = i - 3j + 7k v = 8i - 2j - 2k Okay, I get what to do, and I get answers but apparently ...
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The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points Discrete Dynamics in Nature and Society Volume 2014 (2014), Article ID 654294, 8 pages http://dx.doi.org/10.1155/2014/654294 Research Article The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points ^1School of Mathe...
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Contour Integration June 9th 2008, 09:39 AM #1 Contour Integration Here's the problem: The function f(z) is holomorphic everywhere on a closed contour $\Gamma$, and also within $\Gamma$ except at a finite set of points where f has poles. (Recall that a pole of order n at $z = \alpha$ occurs where f(z) i...
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[SOLVED] Weird Logarithm Question February 15th 2009, 11:19 AM #1 Newbie Joined Oct 2008 Posts 16 [SOLVED] Weird Logarithm Question y^5.6 = 4 Solve for y using logarithms. I know how to solve this question without logs, and I know how to solve logs when the variable is in the exponent. Th...
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Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables Abstract and Applied Analysis Volume 2012 (2012), Article ID 425969, 13 pages http://dx.doi.org/10.1155/2012/425969 Research Article Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Negatively Dependen...
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Number of possible musical chords and scales March 14th 2012, 12:27 AM Shunarjuna Number of possible musical chords and scales I hope I put this thread in the correct spot! This is my first post and let me start by saying I am definitely not a mathematician. I am in fact a musician and I started thinking la...
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Question • /r/logic Question (self.logic) submitted by YouKnowThatGuyWeKnow sorry, this has been archived and can no longer be voted on So I'm doing this proof, and the book says it's invalid but I keep getting a contradiction. 1 ~(AB) 2 (~AvC) Therefor: ~(CB) 3 asm ~~(CB) 4 C F3 5 B F3 6 ~A F1,5 7 A F2,4 Contradic...
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Question invovling cyclinderical volume and such... October 25th 2005, 04:57 PM #1 Zell_49 Guest Question invovling cyclinderical volume and such... Ok. I am stumped in my calculus class and need help with one of the problems. I am supposed to find the dimensions (r and h) of the cylinder that will minimize the c...
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Interpolation functions December 22nd 2012, 08:41 AM bugatti79 Interpolation functions I am trying to establish what interpolation functions he used to obtain the 8 approximation functions (eqn 5.3.25a) shown in the attached excerpt from the book. He states that a cubic approximation can be used for $w(x)$...
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Characteristic equation proof May 6th 2009, 07:24 PM #1 Newbie Joined May 2009 Posts 6 Characteristic equation proof Hi Im confused on where to start in proving this question Let A = $\left(\begin{array}{cc}a&b\\c&d\end{array}\right)$ where a, b, c and d are real numbers. Show that the characte...
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vectors and sclalar products January 16th 2010, 03:12 AM #1 Member Joined Sep 2009 Posts 98 vectors and sclalar products The points A,B and C have position vectors given respectively a = ( 7i + 4j -2k) b= ( 5i + 3j - 3k) c= ( 6i + 5j - 4k) a) Find the angle BAC b) Find the area of the triang...
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[ap calc ab] How do you derive an inverse tangent? (eq is y=tan^-1(4x/50), in terms of y) • /r/learnmath [ap calc ab] How do you derive an inverse tangent? (eq is y=tan^-1(4x/50), in terms of y) (self.learnmath) submitted by sorry, this has been archived and can no longer be voted on You can't simply move the tan...
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Normal Distribution (Prob something will be EXACT?) April 23rd 2009, 08:14 PM rikkoo Normal Distribution (Prob something will be EXACT?) Suppose x ~ N ($1400,$200^2) | Sales if soft drinks for a movie theater a.) What percentage of sales are above $1450 for the week? Is this correct?: P (x>1450) = p(z ...
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the encyclopedic entry of Stable marriage In mathematics , the stable marriage problem (SMP) is the problem of finding a stable matching — a matching in which no element of the first matched set prefers an element of the second matched set that also prefers the first element. It is commonly stated as: Giv...
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Binomial Trials, Probability, Please Help, I will love you. April 24th 2006, 04:49 PM #1 IHateMyProf Guest Binomial Trials, Probability, Please Help, I will love you. Alright here is the break down.....I would really appreciate someone helping me realize how to do this problem. I am so lost, my prof is a ****. ...
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Math (Algebra) Posted by Bob on Monday, May 6, 2013 at 1:45am. If the sum of 3 non-zero distinct real numbers a, b, and c is 2, and the two sets {a,b,c} and {1/a,1/b,1/c} are the same, what is the value of a^2+b^2+c^2? Note: Two sets are the same if there is a one-to-one correspondence between their elements. For exa...
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A Strange Double-Deck Butterfly Chaotic Attractor from a Permanent Magnet Synchronous Motor with Smooth Air Gap: Numerical Analysis and Experimental Observation Abstract and Applied Analysis Volume 2014 (2014), Article ID 495126, 11 pages http://dx.doi.org/10.1155/2014/495126 Research Article A Strange Double-Deck Bu...
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Power Management in Multiuser Adaptive Modulation Transmission under QoS Requirements International Journal of Antennas and Propagation Volume 2013 (2013), Article ID 730710, 9 pages http://dx.doi.org/10.1155/2013/730710 Research Article Power Management in Multiuser Adaptive Modulation Transmission under QoS Require...
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question about decay August 16th 2009, 06:56 AM #1 Newbie Joined Aug 2009 Posts 9 question about decay I would like to know which one is the right formula to calculate the decay if the book is asking to find the remaining radioactive salt after 75 years, knowing that the decay rate is 2% and we had 1...
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Constant term How do I find the constant term in ((-x)^3+(-3/x))^24 ? Last edited by TheEmptySet; April 3rd 2008 at 12:07 PM. Reason: La tex error I've tried using this, but I get the wrong answer in the end.. You need the term such that: (Ax^3)^a*(Bx^-1)^(24-a) is constant. This is only satisfied when a = 6 Hence t...
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Find the sum of the series. July 20th 2011, 10:09 PM #1 Junior Member Joined Jul 2011 Posts 28 Find the sum of the series. $\sum_{k = 0}^\infty \frac{3^{k-1}}{4^{3k+1}}$ $\sum_{k = 0}^\infty \frac{3^{k}*3^{-1}}{4^{3k}*4^{1}}$ $\sum_{k = 0}^\infty \frac{3^{k}}{(4^{3})^{k}*4^{1}*3^{1}}$ $(\frac...
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Nasty derivative February 8th 2010, 10:08 AM wolfhound Nasty derivative Hello, I was wondering if someone could show me how to do this? Differentiate $a^{2} (a- a^{4} )^{3}$ Value of $a=x^{-2}$ I can't figure it out February 8th 2010, 10:15 AM HallsofIvy Quote: Do you mean "differentiate...
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The Structure of an Automatic Decision System for a Large Number of Independent Particle Detectors Advances in High Energy Physics Volume 2013 (2013), Article ID 839570, 6 pages http://dx.doi.org/10.1155/2013/839570 Research Article The Structure of an Automatic Decision System for a Large Number of Independent Parti...
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binomials... September 17th 2009, 06:35 PM #1 Newbie Joined Sep 2009 Posts 15 binomials... oh...my questions are challenge enough..wish someone can answer me this binomial theory...i really sucks at this.. Show that, $<br /> \sum_{k=0}^{n}\binom{k+n}{k}{2}^{-k}=2^n<br />$ Did you copy that...
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A Frame Element Model for the Nonlinear Analysis of FRP-Strengthened Masonry Panels Subjected to In-Plane Loads Advances in Materials Science and Engineering Volume 2013 (2013), Article ID 754162, 12 pages http://dx.doi.org/10.1155/2013/754162 Research Article A Frame Element Model for the Nonlinear Analysis of FRP-S...
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l’Hopital’s Rule Help.. Hey guys having trouble solving this . Use l’Hopital’s rule to find: $\lim_{x\to0}\frac{cosx-1}{x^2}$ any help much appreciated 1)Find derivatives separately 2) Divide the numerator's derivative by denominator's derivative 3)If on putting the limit you get a definite answer than game over!! 4) ...
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Proving and finding values. November 27th 2010, 06:31 PM #1 Junior Member Joined Nov 2010 Posts 50 Proving and finding values. I am having some problems with these questions,can anybody help? 2) It is given that sinA = 5/13 where 90<A<180(degrees) , and that cosB = -33/65 , where 180<B<270. Find the...
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First Proofs class. January 13th 2012, 02:08 PM resjsu First Proofs class. So the semester just started and im already drowning. Im usually pretty good at math but I just dont get proofs. I need help with a few problems (ive already attempted them multiple times), ill just post one at a time. The first...
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Combination Proof - Need help understanding steps in answer February 4th 2010, 06:20 PM #1 Member Joined Sep 2009 Posts 83 Combination Proof - Need help understanding steps in answer Hey, I am working through some review questions for my mid term, and came across this problem: Prove: $C(n , ...
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Trig problem... March 15th 2009, 11:36 AM #1 Newbie Joined Mar 2009 Posts 11 Trig problem... I'm stuck on this problem... Find all solutions in the interval [0,2π]: 1 - sinx = 2 cos^2x any help would be appreciated. Trig equation Hello adam456006 Use the identity $\cos^2x = 1-\sin^2x$...
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About even and uneven numbers and about rational and irrational numbers September 14th 2008, 09:00 AM antrewry About even and uneven numbers and about rational and irrational numbers ok I have some problems that I need help with: if a^2 is even, then prove that a is even too if a^2 is uneven, then prove ...
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The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions International Journal of Stochastic Analysis Volume 2010 (2010), Article ID 519684, 16 pages http://dx.doi.org/10.1155/2010/519684 Research Article The Rothe's Method to a Parabolic Integrodifferential Equation with...
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The Smoothing Artifact of Spatially Constrained Canonical Correlation Analysis in Functional MRI International Journal of Biomedical Imaging Volume 2012 (2012), Article ID 738283, 11 pages http://dx.doi.org/10.1155/2012/738283 Research Article The Smoothing Artifact of Spatially Constrained Canonical Correlation Anal...
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Thomas algorithm number operations November 21st 2011, 10:59 AM #1 Member Joined Nov 2010 Posts 164 Thomas algorithm number operations I have to find the number of operations needed by Thomas algorithm for an nxn tridiagonal matrix. The Thomas algorithm is divided into two parts, the forward sweep a...
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Math Help January 6th 2008, 11:42 PM #1 Newbie Joined Jan 2008 Posts 3 binomial For natural numbers m<=n calculate (i.e. express by a simple formula not containing a sum) sigma (k=m) to (n) (k choose m) (n choose k). I hope someone comes with a proof by double counting. I want to see one I hate...
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Please check my work June 3rd 2006, 09:31 AM #1 Junior Member Joined Jun 2006 Posts 53 Please check my work find the lim as x approaches 0 for sin(sin(sin(kx)))/x I used l'Hopital's rule and got this lim as x approaches 0 for cos(sin(sin(kx)cos(sin(kx))kcos(kx) the answer is 0. Nichel...
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Math Help November 30th 2011, 08:54 AM #1 Newbie Joined Nov 2011 Posts 5 Cylic 1. Suppose G = Z12 x Z12 and H =<(2,2)> is the subgroup generated by (2,2). Find the order of the element (5, 8) + H in G/H and prove it. Is G/H cyclic? Explain. 2. Find a direct product of cyclic groups of prime power o...
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Quick angular measurement question about moon. Thanks! nukeman Does the following make sense Not entirely. nukeman , and is correct? Your result is correct, yes. But I'm not convinced that you understand why. nukeman Our Equation will ultimately read: 57.3 x do/d Now lets plug in out data points that have ...
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Unsteady Unidirectional Flow of Second-Grade Fluid through a Microtube with Wall Slip and Different Given Volume Flow Rate Mathematical Problems in Engineering Volume 2010 (2010), Article ID 416837, 17 pages http://dx.doi.org/10.1155/2010/416837 Research Article Unsteady Unidirectional Flow of Second-Grade Fluid thro...
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Ductility Enhancement of Post-Northridge Connections by Multilongitudinal Voids in the Beam Web The Scientific World Journal Volume 2013 (2013), Article ID 515936, 14 pages http://dx.doi.org/10.1155/2013/515936 Research Article Ductility Enhancement of Post-Northridge Connections by Multilongitudinal Voids in the Bea...
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Math Help November 28th 2009, 10:07 AM #1 Member Joined Oct 2009 Posts 80 Limits Assuming the result lim x approaches 0 (sinx)/(x) = 1, evalute 1) lim x approaches 0 (1-cosx)/(x) 2) lim x approaches 0 (1-cosx)(x^2) 3) lim x approaches 0 (tanx-sinx)/(x^3) Can anyone help, I would appr...
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dy dx of the curve June 6th 2010, 04:45 AM #1 dy dx of the curve find dydx of x^2 + 3xy + 2y^2 = 5 My working 2y^2 = 5 - x^2 - 3xy y^2 = 1/2 . (5 - x^2 - 3xy) y = root 1/2 . (5 - x^2 - 3xy) y = 1/2 . (5 - x^2 - 3xy)^1/2 y = (2.5 - 1/2x^2 - 1.5xy)^1/2 y1 = 1/2 (2.5 - 1/2x^2 ...
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How can i explain??? June 6th 2010, 05:43 AM #1 Junior Member Joined Nov 2009 Posts 27 How can i explain??? I have shown that: When $\rho = \beta + i \gamma$ Then $\frac{x^{\rho}}{\rho} +\frac{x^{\overline \rho}}{\overline\rho} = \frac{2x^{\beta}}{|\rho|} cos(\gamma In(x) - \theta)$ H...
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Effect of Mechanism Error on Input Torque of Scroll Compressor International Journal of Rotating Machinery Volume 2013 (2013), Article ID 438127, 5 pages http://dx.doi.org/10.1155/2013/438127 Research Article Effect of Mechanism Error on Input Torque of Scroll Compressor College of Petrochemical Technology, Lanzhou ...
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Real and imaginary numbers April 29th 2010, 06:03 AM #1 Junior Member Joined Apr 2010 Posts 26 Real and imaginary numbers I am having trouble with Q5 in the attached file, For part (a) after expanding and simplifying I have the answer: f(z)=(36x^2)+4iBy-12ix How would I wite the real and i...
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properties of radical of an ideal April 10th 2011, 11:48 AM #1 Junior Member Joined Feb 2011 Posts 72 properties of radical of an ideal Hello everybody; Let $R$ be commutative ring with unity and let $I$ and $J$ be two ideals of $R$ Show that $\sqrt{I+J}=\sqrt{\sqrt{I}+\sqrt{J}}$ $\sqrt{I+...
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Please check if the differential equation is correct rohit99 I am practising for my test. The question is to solve a differential equation dy/dx + y/x + 1 = 5x You mean y/(x+1). y(0) = 1. The answer that i have come up with is (xy+y)= 5x^3/3+5x^2/2+c by substituting the values x=0 and y=1 in to the general equ...
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Evaluation of Vapor Pressure Estimation Methods for Use in Simulating the Dynamic of Atmospheric Organic Aerosols International Journal of Geophysics Volume 2013 (2013), Article ID 612375, 13 pages http://dx.doi.org/10.1155/2013/612375 Research Article Evaluation of Vapor Pressure Estimation Methods for Use in Simula...
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A Study on Vibration Characteristics and Stability of the Ambulance Nonlinear Damping System Abstract and Applied Analysis Volume 2013 (2013), Article ID 501081, 12 pages http://dx.doi.org/10.1155/2013/501081 Research Article A Study on Vibration Characteristics and Stability of the Ambulance Nonlinear Damping System...
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the encyclopedic entry of stereographic projection In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point — the projection point. Where it is defined, the mapping is smooth and bijective. It is...
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Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales Abstract and Applied Analysis Volume 2013 (2013), Article ID 740568, 11 pages http://dx.doi.org/10.1155/2013/740568 Research Article Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales ^1College of Mathemati...
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basic surds February 22nd 2011, 07:50 PM harun basic surds I was helping someone with this problem and I thought you could only simplify it and nothing more. Is it possible to find values of a and b? $\frac{3}{2\sqrt{5}} = \frac{\sqrt{a}}{b}$ The only way I could think of solving it was equating it as ...
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Bangalore University, 2th semester , bcom,Examination -May - 2011, Business Statistics model question papers Download Model question papers & previous years question papers Awards & Gifts ...
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Homework Help Posted by Anonymous on Wednesday, June 27, 2012 at 6:56pm. Three cards are randomly chosen, without replacement, from a standard deck of 52. The random variable X represents the number of hearts cards chosen. Construct the probability distribution for X. • statistics - MathMate, Wednesday, June 27, ...
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Re: Rehash of regular expression question... dobrien@seas.gwu.edu (David O'Brien) Mon, 21 Feb 1994 00:19:20 GMT From comp.compilers | List of all articl...
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Table of marks December 20th 2010, 03:28 AM #1 Newbie Joined Dec 2010 Posts 6 Table of marks Hi all, I'm trying to figure out how the table of marks is calculated. For those of you unfarmiliar with it it is defined on the wikipedia page here (under the section marks), the important bit being: F...
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Calculate electric field of infinite slab zezima1 1. The problem statement, all variables and given/known data An infinite plane slab of thickness 2d lies in the xy-plane with −d<z<d. Its charge density is given as ρ = kz^2 for −d<z< d and zero otherwise. (i) Find the electric field, E(z), for all z. 2. Relevant eq...
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Find the normalized eigenspinors of the 2 x 2 matrix Each hermitian matrix A can be diagonalized by a unitary matrix U so that UAU*=D is diagonal. On the diagonal you have then eigenvalues d1,d2,...,dn (for nxn matrix). But det(UAU*)=det(A) and Tr(UAU*=Tr(A). Now det(D)=d1....dn, and Tr(D)=d1+...dn. It follows that de...
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CMS Winter 2005 Meeting I will discuss two classical problems in analysis and geometry posed on n-dimensional flat torus. I will focus on some interesting questions which remain open. I will then discuss a nonlocal isoperimetric problem with an emphasis on the calculation and application of its first and second...
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Today's Putnam Problem of the Day May 19th 2010, 12:11 AM #1 Super Member Joined Jan 2009 Posts 715 Today's Putnam Problem of the Day Evaluate the sum $<br /> S = \frac{1}{ \cos{0^o} \cos{1^o} } + \frac{1}{ \cos{1^o} \cos{2^o} } + ... + \frac{1}{ \cos{88^o} \cos{89^o} }<br />$ Source : http://w...
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Mathematical Induction question February 23rd 2013, 04:31 AM tsyet12 Mathematical Induction question Question:Prove by mathematical induction that if U[n+2]= 3U[n+1] - 2U[n] for all positive integers n, and U[1 ]= 1 , U[2] = 3 , then U[n ]= 2^n - 1. How to deal with relations that includes 3 terms in mathem...
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How To Find The Median And Variance? March 21st 2010, 03:48 PM #1 Member Joined Apr 2008 Posts 123 How To Find The Median And Variance? Can somebody show me how to find the median and variance of this piece wise function? I've been trying so hard to do it. f(x) = 4/(x^5) , x >= 1 0, otherwis...
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How close each other 2^x and 10^y can situate if x and y are natural numbers? January 26th 2013, 01:18 AM kpkkpk How close each other 2^x and 10^y can situate if x and y are natural numbers? If we have 2^3, itīs distance from 10^1 is only 2. If we have 2^10, itīs distance from 10^3 is 24 (as 2^10=1024 and 1...
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Distance between planes (Proof) March 19th 2011, 09:02 AM #1 Member Joined Oct 2009 Posts 80 Distance between planes (Proof) Consider two plans P1: ax + by + cz + e = 0 and P2: ax + by +cz + f = 0. Show that the distance between P1 and P2 is given by d = l e-f l / sqrt(a^2 + b^2 +c^2) * any idea on ...
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A Bayesian Network Model for Origin-Destination Matrices Estimation Using Prior and Some Observed Link Flows Discrete Dynamics in Nature and Society Volume 2014 (2014), Article ID 192470, 9 pages http://dx.doi.org/10.1155/2014/192470 Research Article A Bayesian Network Model for Origin-Destination Matrices Estimation...
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Gauss-Jordan reduction to find the inverse of a matrix May 8th 2011, 02:47 AM brumby_3 Gauss-Jordan reduction to find the inverse of a matrix Use Gauss-Jordan reduction of (A:I) to find A^-1. The matrix is: 1 1 0/1 1 1/0 2 1 (ie 3x3 matrix) I know you add the matrix on the right side with the diagonal ...
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How many labelled disconnected simple graphs have n vertices and floor((n choose 2)/2) edges? MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required. I would like to know the asymptotic number of labelled disconnected (simple) ...
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A Hybrid Network Model to Extract Key Criteria and Its Application for Brand Equity Evaluation Mathematical Problems in Engineering Volume 2012 (2012), Article ID 971303, 14 pages http://dx.doi.org/10.1155/2012/971303 Research Article A Hybrid Network Model to Extract Key Criteria and Its Application for Brand Equity...
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Fixed-point iteration 'show that' exercise September 15th 2010, 04:57 AM #1 Fixed-point iteration 'show that' exercise Hi, problem: The iteration defined by $x_{k+1} = \frac{1}{2}(x^2_k+c)$, where $0<c<1$, has two fixed points $\xi_1, \xi_2$ where $0<\xi_1<1<\xi_2$. Show that $x_{k+1} - \xi_1 ...
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Without Absolute Values December 1st 2009, 08:00 AM #1 Banned Joined Dec 2009 From NYC Posts 84 Without Absolute Values Write the following expressions without using absolute values. (1) |b - 3| if ≥ 3 (2) |u - v|/|v - u| if u does not = v, u does not = 0 and v does not = 0. (3) |a - 5...
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[SOLVED] How do I get to answer this problem ? how do I solve this.... (a+b)squared - (c+d)squared ??? Please help me by giving me the solution.... :) THANKS !!! Quote: Originally Posted by china_88 Remember the diffrence of two squares, $x^2-y^2=(x+y)(x-y)$ Thus, $(a+b)^2-(c+d)^2$ Over here $x=a+b,y=c+d$. Thus, (wat...
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Matrix Conic Equation August 18th 2009, 09:10 PM #1 Newbie Joined Mar 2009 Posts 15 Matrix Conic Equation I need to write this equation here: X1^2+X1X2+X2^2=8 in the form of X^TAX=8 Once ive done that i nee to be able to find the matrix Q such that the transformation X=QY diagonalises A and re...
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Sectors, Areas, and Arcs: Worked Examples (page 2 of 2) • A wheel has a diameter of 100 cm. If the wheel is supporting a craft moving at 45 kilometers per hour, then what is the angular velocity of the wheel, to the nearest whole number of revolutions per minute? The "angular velocity" is the number of time...
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<help> Differential Equations... MAPS (urgent) August 10th 2007, 11:55 PM jungohyj <help> Differential Equations... MAPS (urgent) Task: There are some differential equations that require other techniques in order to solve them. One type, called homogenous, requires a substitution in order to solve. The s...
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Stabilization for Networked Control Systems with Random Sampling Periods Journal of Applied Mathematics Volume 2013 (2013), Article ID 252679, 14 pages http://dx.doi.org/10.1155/2013/252679 Research Article Stabilization for Networked Control Systems with Random Sampling Periods ^1Institute of Systems Science, North...
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On the Normed Space of Equivalence Classes of Fuzzy Numbers The Scientific World Journal Volume 2013 (2013), Article ID 792484, 5 pages http://dx.doi.org/10.1155/2013/792484 Research Article On the Normed Space of Equivalence Classes of Fuzzy Numbers College of Mathematics and Physics, Chongqing University of Posts ...
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Patent US4331941 - Digital phase domain amplitude modulation method and apparatus BACKGROUND OF THE INVENTION A known method for synthesizing sine waves is to generate harmonic frequencies from a reference clock and filter a selected harmonic frequency to obtain a desired frequency output. Another known method is to u...
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Strong Convergence Iterative Algorithms for Equilibrium Abstract and Applied Analysis Volume 2013 (2013), Article ID 619762, 9 pages http://dx.doi.org/10.1155/2013/619762 Research Article Strong Convergence Iterative Algorithms for Equilibrium Problems and Fixed Point Problems in Banach Spaces ^1Department of Applie...
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Drop Impact Analysis of Cushioning System with an Elastic Critical Component of Cantilever Beam Type Mathematical Problems in Engineering Volume 2013 (2013), Article ID 379068, 5 pages http://dx.doi.org/10.1155/2013/379068 Research Article Drop Impact Analysis of Cushioning System with an Elastic Critical Component o...
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Impulse April 8th 2008, 03:55 PM vesperka Impulse A(n) 8.9g bullet is fired into a(n) 132g block of wood at rest on a horizontal surface and stays inside. After impact, the block slides 13m before coming to rest. The acceleration of gravity is 9.8 m/s^2/ If the coeffcient of friction betwee...
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Am I doing this right? February 18th 2010, 11:45 AM #1 Newbie Joined Dec 2008 Posts 21 Am I doing this right? It's a simplification. I'm supposed to simplify so that only one variable is present at the end. x = [sin(A+B)/2]/sin(A/2) Here's what I've done so far... x = 2[sin(A+B)] / 2[sin(A...
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