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Dive into the research topics where Klaus Vetters is active.

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Featured researches published by Klaus Vetters.


Archive | 2002

Calculus of Probability

Bernd Luderer; Volker Nollau; Klaus Vetters

A trial is an attempt (observation, experiment) the result of which is uncertain within the scope of some possibilities and which is, at least in ideas, arbitrarily often reproducible when remaining unchanged the external conditions characterizing the attempt.


Archive | 2009

Differential Calculus for Functions of Several Variables

Bernd Luderer; Volker Nollau; Klaus Vetters

Functions y = f(x 1, x 2) of two independent variables x 1, x 2 can be visualized in a three-dimensional representation by a (x 1, x 2, y)-system of co-ordinates. The set of points (x 1, x 2, y) forms a surface provided that the function f is continuous. The set of points (x 1, x 2) such that f(x 1, x 2) = C = const is called a height line or level line of the function f to the height (level) C. These lines are located in the x 1, x 2-plane.


Archive | 2009

Sequences and Series

Bernd Luderer; Volker Nollau; Klaus Vetters

The sequence is said to be finite or infinite depending on whether the set K is finite or infinite.


Archive | 2009

Linear Programming. Transportation Problem

Bernd Luderer; Volker Nollau; Klaus Vetters

The problem to find a vector x *= (x * 1, x * 2,…, x * n)Tsuch that its components satisfy the conditions.


Archive | 2009

Functions of one Variable: Integral Calculus

Bernd Luderer; Volker Nollau; Klaus Vetters

Polynom division and partial fraction decomposition lead to integrals over polynomials and special partial fractions. The partial fractions can be integrated by the use of formulas from the ▸ table of indefinite integrals.


Archive | 2009

Functions of one Variable: Differential Calculus

Bernd Luderer; Volker Nollau; Klaus Vetters

If in addition to the above conditions the restricting requirement x n > x 0 (x n < x 0) is true, then one speaks about the limit from the right (from the left).


Archive | 2009

Functions of one Independent Variable

Bernd Luderer; Volker Nollau; Klaus Vetters

A real function f of one independent variable x ∈ℝis a mapping (rule of assignment) y = f(x) which relates to every number x of the domain D f ⊂ℝone and only one number y ∈ℝ Notation:f: D f →ℝ


Archive | 2003

Geometrie in euklidischen Vektorräumen

Andreas Fischer; Winfried Schirotzek; Klaus Vetters

Es seien V ein ℝ -Vektorraum und A ein affiner Raum bezuglich V. Zu jedem Untervektorraum U von V und jedem p ∈ A heist (nach Satz und Definition 3.4.3) die Punktmenge


Archive | 2003

Vektoren, Matrizen und lineare Gleichungssysteme

Andreas Fischer; Winfried Schirotzek; Klaus Vetters


Archive | 2003

Vektorräume und affine Räume

Andreas Fischer; Winfried Schirotzek; Klaus Vetters

[p \oplus U: = \left\{ {p \oplus v|v \in U} \right\}]

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Bernd Luderer

Chemnitz University of Technology

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Volker Nollau

Dresden University of Technology

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Jochen W. Schmidt

Dresden University of Technology

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