Linear Codes - Michigan State University
3.1 Basics If Cis a linear code that, as a vector space over the eld F, has dimension k, then we say that Cis an [n;k] linear code over F, or an [n;k] code, for short. [n;k] linear code There is no con ict with our de nition of the dimension of Cas a code, since jCj= jFjk. (Indeed the choice of general terminology was motivated by the
Download Linear Codes - Michigan State University
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document:
Documents from same domain
Thomas Calculus; 12th Edition: The Power Rule
users.math.msu.eduThomas Calculus; 12th Edition: The Power Rule Cli ord E. Weil September 15, 2010 The following paragraph appears at the bottom of page 116 of Thomas Calculus, 12th Edition. The Power Rule is actually valid for all real numbers n.
Power, Edition, Thomas, Calculus, The power, 12th, Thomas calculus 12th edition, 12th edition, Thomas calculus
Convolution solutions (Sect. 6.6). - users.math.msu.edu
users.math.msu.eduConvolution solutions (Sect. 6.6). I Convolution of two functions. I Properties of convolutions. I Laplace Transform of a convolution. I Impulse response solution. I Solution decomposition theorem.
Special Second Order Equations (Sect. 2.2). Special Second ...
users.math.msu.eduSpecial Second Order Equations (Sect. 2.2). I Special Second order nonlinear equations. I Function y missing. (Simpler) I Variable t missing. (Harder) I Reduction order method. Special Second order nonlinear equations Definition Given a functions f : R3 → R, a second order differential equation in the unknown function y : R → R is given by
Second, Special, Order, Equations, Sect, Second order, Special second order equations, Special second order
second order equations{Undetermined Coe - cients
users.math.msu.eduSeptember 29, 2013 9-1 9. Particular Solutions of Non-homogeneous second order equations{Undetermined Coe -cients We have seen that in order to nd the general solution to
Second, Order, Equations, Undetermined, Second order equations undetermined
5.1 The Remainder and Factor Theorems.doc; Synthetic Division
users.math.msu.eduPage 2 (Section 5.1) Example 4: Perform the operation below. Write the remainder as a rational expression (remainder/divisor). 2 1 2 8 2 3 5 4 3 2 + − + + x x x x x Synthetic Division – Generally used for “short” division of polynomials when the divisor is in the form x – c. (Refer to page 506 in your textbook for more examples.)
Factors, Theorem, Remainder, The remainder and factor theorems
Math 133 Series Sequences and series. fa g
users.math.msu.eduGeometric sequences and series. A general geometric sequence starts with an initial value a 1 = c, and subsequent terms are multiplied by the ratio r, so that a n = ra n 1; explicitly, a n = crn 1. The same trick as above gives a formula for the corresponding geometric series. We have s …
Series, Sequence, Geometric, Geometric sequences and series, Geometric series, Series sequences and series
The Laplace Transform (Sect. 6.1). - users.math.msu.edu
users.math.msu.eduThe Laplace Transform (Sect. 6.1). I The definition of the Laplace Transform. I Review: Improper integrals. I Examples of Laplace Transforms. I A table of Laplace Transforms. I Properties of the Laplace Transform. I Laplace Transform and differential equations.
Transform, Laplace transforms, Laplace, The laplace transform
ORDINARY DIFFERENTIAL EQUATIONS
users.math.msu.eduThe equations in examples (c) and (d) are called partial di erential equations (PDE), since the unknown function depends on two or more independent variables, t, x, y, and zin these examples, and their partial derivatives appear in the equations.
Differential, Equations, Variable, Ordinary, Ordinary differential equations
Sequences and Series - Michigan State University
users.math.msu.edu2 2. Sequences and Series A topological way to say lima n = ais the following: Given any -neighborhood V (a) of a, there exists a place in the sequence after which all of the terms are in V (a): Easy Fact: lim(c) = cfor all constant sequences (c): Quanti ers. The de nition of lima n = aquanti es the closeness of a n to aby an arbi-
Convergence of Taylor Series (Sect. 10.9) Review: Taylor ...
users.math.msu.eduConvergence of Taylor Series (Sect. 10.9) I Review: Taylor series and polynomials. I The Taylor Theorem. I Using the Taylor series. I Estimating the remainder. The Taylor Theorem Remark: The Taylor polynomial and Taylor series are obtained from a generalization of the Mean Value Theorem: If f : [a,b] → R is differentiable, then there exits c ∈ (a,b) such that
Related documents
Dimensionality Reduction - Stanford University
infolab.stanford.edu1 2 But that vector is not a unit vector, since the sum of the squares of its compo-nents is 5, not 1. Thus to get the unit vector in the same direction, we divide each component by √ 5. That is, the principal eigenvector is 1/ √ 5 2/ √ 5 and its eigenvalue is 7. Note that this was the eigenpair we explored in Exam-ple 11.1.
Recommendation Systems - Stanford University
infolab.stanford.eduSW2, and SW3 for Star Wars episodes 1, 2, and 3. The users are represented by capital letters A through D. HP1 HP2 HP3 TW SW1 SW2 SW3 A 4 5 1 B 5 5 4 C 2 4 5 D 3 3 Figure 9.1: A utility matrix representing ratings of movies on a 1–5 scale Notice that most user-movie pairs have blanks, meaning the user has not rated the movie.
CHAPITRE 1. INTRODUCTION A LA CRYPTOGRAPHIE
math.univ-lyon1.fr1 Calculer l’indice de co ncidence du texte. 2 On applique la transformation (A, B, C) !(B, C, A) au texte. Calculer l’indice de co ncidence du texte obtenu.
Chapitre 1 La politique de distribution dans l’entreprise
d1n7iqsz6ob2ad.cloudfront.netChapitre 1 La politique de distribution dans l’entreprise -Une liberté de se retirer du groupement ;-Une cotisation pour tous les membres ;-L’exclusivité est réservée à un revendeur dans un secteur donné. Les groupements de grossistes: c’est une association regroupant des grossistes qui s’entendent pour
Chapitre 1 Ensembles et sous-ensembles
perso.univ-rennes1.frChapitre 1 Ensembles et sous-ensembles 1. Notion d’ensemble - El´ement d’un ensemble Un ensemble est une collection d’objets satisfaisant un certain nombre de propri´et´es et chacun de ces objets est appel´e ´el´ement de cet ensemble. Si
Chapitre, Beslenme, Usos, Chapitre 1 ensembles et sous ensembles, Chapitre 1 ensembles et sous ensembles 1
Chapitre 1: Introduction à l'algorithmique
www.lamsade.dauphine.frSommaire 1 Pr esentation du cours 2 Introduction et d e nitions Pourquoi l’ etude des algorithmes? D e nitions 3 Paradigmes et langages de programmation 4 Fondements des langages : la r ecursivit e Algorithmes r ecursifs 5 Le langage Python Brice Mayag [email protected] Chapitre 1: Introduction a l’algorithmique M1 SIEE 2 / 59
PRINCIPLES AND METHODS OF VALIDATION OF …
www.oie.intmanagement, and transport is available in chapters 1.1.2 and 1.1.3 of the Terrestrial Manual. The matrix in which the targeted analyte is found (serum, faeces, tissue, etc.) may contain endogenous or exogenous inhibitors that prevent some assays from working. This is of particular concern for enzyme-dependent tests such as
CHAPITRE 1 : PLANCHERS
www.univ-chlef.dzChapitre 1 : LES PLANCHERS Cours : Bâtiment 2 (12/13) – S6 LICENCE Génie Civil – Option : Construction Bâtiment - Prof. Amar KASSOUL - UHBChlef 4 Tableau 1 : portée indicative du plancher en fonction de sa hauteur 3.3. Les poutrelles (Figure 4) Les poutrelles supportent le plancher et transmettent ses charges à la structure porteuse.