Tagung der Fachsektion Geschichte der Mathematik in der DMV by Schreiber P.

By Schreiber P.

Show description

Read Online or Download Tagung der Fachsektion Geschichte der Mathematik in der DMV PDF

Best mathematics books

Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry

A gradual creation to the hugely refined global of discrete arithmetic, Mathematical difficulties and Proofs provides issues starting from hassle-free definitions and theorems to complex issues -- corresponding to cardinal numbers, producing services, houses of Fibonacci numbers, and Euclidean set of rules.

Graphs, matrices, and designs: Festschrift in honor of Norman J. Pullman

Examines walls and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal graph thought, Hadamard matrices and graph factorizations. This ebook is designed to be of curiosity to utilized mathematicians, desktop scientists and communications researchers.

Elementare Analysis: Von der Anschauung zur Theorie (Mathematik Primar- und Sekundarstufe) (German Edition)

In diesem Lehrbuch finden Sie einen Zugang zur Differenzial- und Integralrechnung, der ausgehend von inhaltlich-anschaulichen Überlegungen die zugehörige Theorie entwickelt. Dabei entsteht die Theorie als Präzisierung und als Überwindung der Grenzen des Anschaulichen. Das Buch richtet sich an Studierende des Lehramts Mathematik für die Sekundarstufe I, die „Elementare research" als „höheren Standpunkt" für die Funktionenlehre benötigen, Studierende für das gymnasiale Lehramt oder in Bachelor-Studiengängen, die einen sinnstiftenden Zugang zur research suchen, und an Mathematiklehrkräfte der Sekundarstufe II, die ihren Analysis-Lehrgang stärker inhaltlich als kalkülorientiert gestalten möchten.

Extra resources for Tagung der Fachsektion Geschichte der Mathematik in der DMV

Sample text

38). The physical character of the motion depends upon the nature of the parameter , as follows: Strong damping ( > 0) In this case p1 and p2 are real, distinct and negative; and the general solution is x(t) = Aep1 t + Bep2 t ; p1 < 0, p2 < 0. 16(a) shows two typical solutions. There is no oscillation and the t axis is cut at most once. Such a system is said to be deadbeat. 16 The damped linear oscillator 23 (a) Typical damped time solutions for strong damping. (b) Phase diagram for a stable node.

57) which do not involve any necessary reference to mechanical models or energy. 9 using polar coordinates. The structure of the phase diagram is made clearer, and other equations of similar type respond to this technique. Let r, θ be polar coordinates, where x = r cos θ, y = r sin θ, so that r 2 = x2 + y2, tan θ = y . x Then, differentiating these equations with respect to time, 2r r˙ = 2x x˙ + 2y y, ˙ θ˙ sec2 θ = x y˙ − xy ˙ x2 so that r˙ = x x˙ + y y˙ , r θ˙ = x y˙ − xy ˙ . 58) We then substitute x = r cos θ, x˙ = y = r sin θ into these expressions, using the form for y˙ obtained from the given differential equation.

For small slip velocities the frictional force is proportional to the slip velocity. At a fixed small value of the slip speed sc the magnitude of the frictional force peaks and then gradually approaches a constant F0 or −F0 for large slip speeds. We will replace this function by a simpler one having a discontinuity at the origin: ˙ F = F0 sgn(v0 − x) where F0 is a positive constant (see Fig. 22(b)) and the sgn (signum) function is defined by ⎧ ⎨ 1, u > 0, 0, u = 0, sgn(u) = ⎩ −1, u < 0. The equation of motion becomes mx¨ + cx = F0 sgn(v0 − x).

Download PDF sample

Rated 4.03 of 5 – based on 7 votes