Download Combien de chaussettes font la paire ? Les mathématiques by Rob Eastaway PDF

By Rob Eastaway

ISBN-10: 2081260662

ISBN-13: 9782081260665

Show description

Read or Download Combien de chaussettes font la paire ? Les mathématiques surprenantes de la vie quotidienne PDF

Best mathematics_1 books

Mathematik / Albert Fetzer. 1

Dieses erfolgreiche einf? hrende Lehrbuch liegt nun in der 10. Auflage vor. Es zeichnet sich durch eine exakte und anschauliche Darstellung aus. Der Lehrstoff ist klar gegliedert und intestine strukturiert. Er wird durch eine F? lle von Beispielen und Abbildungen veranschaulicht und vertieft. Zahlreiche Aufgaben mit L?

Probabilistic Expert Systems (CBMS-NSF Regional Conference Series in Applied Mathematics)

Probabilistic specialist structures emphasizes the elemental computational rules that make probabilistic reasoning possible in specialist structures. the main to computation in those platforms is the modularity of the probabilistic version. Shafer describes and compares the relevant architectures for exploiting this modularity within the computation of previous and posterior percentages.

Surveys in Differential-Algebraic Equations III

The current quantity contains survey articles on numerous fields of Differential-Algebraic Equations (DAEs), that have common functions in managed dynamical platforms, specially in mechanical and electric engineering and a powerful relation to (ordinary) differential equations. the person chapters supply stories, shows of the present nation of study and new innovations in - Flexibility of DAE formulations - Reachability research and deterministic worldwide optimization - Numerical linear algebra tools - Boundary worth difficulties the consequences are provided in an obtainable sort, making this ebook compatible not just for energetic researchers but additionally for graduate scholars (with an excellent wisdom of the fundamental rules of DAEs) for self-study.

Additional info for Combien de chaussettes font la paire ? Les mathématiques surprenantes de la vie quotidienne

Example text

In a Taylor series about x = xn. 1. 2) Λχη + h») - h(y(Xn + hn), J>(*»)) J \ ' \x=xn + hn J υ \ / \x=xn = ( l - ^ o ) X ^ ) + (l+ai-/5i)/z„/(xw)+^(l+2ai + 2a2-2^2)^/Xxw) + 1(1+3αι + 6α2 + 6α 3 -6β 3 ) *«/"(*,,) + 2 ί(ΐ4-4αι+12α 2 + 24α3 + 2 4 α 4 - 2 4 ^ 4 ) ^ / ' , , ( ^ ) + 0 ( ^ ) . 1 is easily derived. This table should be interpreted such, that the conditions on ß09 ßl9 . . , βρ together, guarantee consistency of order p. The derivation of the conditions for fifth or higher order consistency are left to the reader.

1. 2, in connection with the application of Newton-Raphson iteration to the trapezoidal rule. 12"). 2) *"y> = h Θ■- A KJ J — χιιη, J ^ ^ j = 0, 1 , . . , m- 3, j? 3) 0j = 9j(h„J(y„)), AJt, = AJt i(h„J(y„)). Note that each integration step requires one evaluation of the Jacobian matrix 7. In particular, when the, coefficient functions A} t and Θ} are polynomials, then the method is said to be explicit; if at least one of these functions is not a polynomial the method is said to be semi-implicit.

10') in a different form. I, and observe that yn+1 is a linear combination of yn and j = 0, 1, . . , m— 1. , are functions of the relaxation parameters ω ; . ,. 10'); hence, consistency and stability conditions are easier satisfied. 10"); these formulas are explicit and require evaluation of the function / a t m points. Such formulas are, in fact, m-point Runge-Kutta formulas. 1). 2, § 1 SINGLE-STEP METHODS Next, we consider the formulas which arise when Newton-Raphson iteration is applied to the trapezoidal rule.

Download PDF sample

Rated 4.58 of 5 – based on 37 votes