Revisional notes on Australian Carabidae. Part I

Notes on Sandflies. Part I

Lecture Notes on Pseudorandomness { Part I

A fresh view at the question of randomness was taken in the theory of computing: It has been postulated that a distribution is pseudorandom if it cannot be told apart from the uniform distribution by any e cient procedure. This paradigm, originally associating e cient procedures with polynomial-time algorithms, has been applied also with respect to a variety of other classes of distinguishing p...

Lecture Notes on Stochastic Calculus (Part I)

1 Probability “review” 3 1.1 σ-fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Random variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Probability measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.4 Distribution of a random variable . . . . . . . ....

Algebraic Topology Notes, Part I: Homology

The teaching material that forms this web site is copyright. Other than for the purposes of and subject to the conditions prescribed under the Copyright Act, no part of it may in any form or by any means (electronic, mechanical, microcopying, photocopying, recording or otherwise) be altered, reproduced, stored in a retrieval system or transmitted without prior written permission from the Univer...

Notes on P - Algebra ( 4 ) : Algebra over ProcessStructure , Part I .

We develop theory of algebra over processes, based on an abstract treatment of process structure. The abstract framework of process structures is developed (Part I), and, on its basis, theory of algebra is developed where the basic results including Birkho -like Variety Theorem are proved (Part II). We also discuss properties of signi cant concrete examples of algebras, taken from extant theori...