The main purpose of this paper is to study normed hypervector spaces. We generalize some definitions such as basis, convexity, operator norm, closed set, Cauchy sequences, and continuity in such spaces and prove some theorems about them.

Most of us know less about statistics than we feel we should but, even as a scientist, it’s often not necessary to be an expert. When it comes to presenting your data, or reviewing someone else’s, however, it can help to have a ready reference at your fingertips. Before you run out and buy a textbook or ask advice from a colleague, take a look at what the web has to offer. Sites offering online...

A white paper on analyzing data from statistically designed experiments in industry, business and research using the IMSL™ C Numerical Library.

In this paper we first give a unified method by introducing the concept of admissible triplets to study local and global Cauchy problems for semi-linear parabolic equations with a general nonlinear term in different Sobolev spaces. In particular, we establish the local well-posedness and small global well-posedness of the Cauchy problem for semi-linear parabolic equations without the homogeneou...

Evolution strategies are a class of general optimisation algorithms which are applicable to functions that are multimodal, non-diierentiable, or even discontinuous. Although recombination operators have been introduced into evolution strategies, their primary search operator is still mutation. Classical evolution strategies rely on Gaussian mutations. A new mutation operator based on the Cauchy...

equations as something "which Cauchy never even wrote" is obviously a wrong translation, what was meant being something like "which Cauchy did not write here". I have kept a list of dozens of lesser errors, but at least this translator does not fall to the depths of rendering Abel's famous statement "Cauchy est 'fou' " by "Cauchy is a fool" [3, p. 25]. The presentation of the book is scandalous...