On a simple definition of computable function of a real variable-with applications to functions of a complex variable

En fænomenologisk og antropologisk analyse af legen som et universelt, eksistentielt rum for mennesket.Presence – An attempt at an easy definition of playIn this article a simple definition of play has been attempted within the framework of phenomenological anthropology. When the process is seen as more serious than the result, we play. When, on the contrary, the result is the more important, we work. To express it in simple formulas in which P is process and R, result:P/R > 1 = Play P/R < 1 = WorkThe definition is discussed in relation to a number of approsing rations which normally provoke reflexive efforts: play vs. seriousness; play vs. labour; play vs. reality; play vs. war; play vs. sport; play vs. ritual; play as symbol and metaphor.Further, the phenomenological concept of play is contrasted to the pedagogical concept, in an analysis of the instrumental use of play vs. play as a meaningful practise in itself.Finally, reference is made to W.H. Auden’s view of the aesthetic process as a dual act involving sin and the search for redemption.

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Photojournalism as a Creator of Values: otherness in Sámi representations

Networking Knowledge: Journal of the MeCCSA Postgraduate Network ◽

10.31165/nk.2007.12.29 ◽

2007 ◽

Vol 1 (2) ◽

Author(s):

Heli Lehtela

Keyword(s):

Content Analysis ◽

Ethnic Minority ◽

Ethnic Minorities ◽

The Arctic ◽

Value Judgments ◽

Definition Of ◽

Simple Definition

The research draws on the insights provided by photojournalism to examine the values and value formation of journalism in relation to power and ethnic minorities. News photos are representations which affect emotions; they engender meanings about reality and settings more subtly than texts. Photojournalism makes value judgments on issues, groups and persons through the size of the photos, settings, poses, the roles depicted, and simply by choosing who is photographed. The material to be analysed consists of news photos dealing with the Sámi published in the Arctic press. My particular focus is the news items dealing with the Sámi and how the ethnic minority is depicted in those representations. The methods to be used are content analysis and formal photo analysis. I use the concept of otherness for determining journalists’ valuations. A simple definition of otherness could be ‘being an outsider’.

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Introduction to the axiomatic theory of elementary functions

10.12737/1209581 ◽

2021 ◽

Author(s):

Andrey Shishkin

Keyword(s):

Complex Variable ◽

Real Variable ◽

Complex Variables ◽

State University ◽

Axiomatic Theory ◽

Elementary Functions ◽

State Pedagogical ◽

Pedagogical Institute ◽

State Pedagogical Institute ◽

Basic Concepts

Contains an exposition of the basic concepts and theorems of the axiomatic theory of the basic elementary functions of real and complex variables. The textbook is written on the basis of lectures given by the author for a number of years at the Armavir State Pedagogical University, at the Slavyansk-on-Kuban State Pedagogical Institute and at the branch of the Kuban State University in Slavyansk-on-Kuban. It is intended for students of natural-mathematical profiles of preparation of the direction "Pedagogical education". It can be used in the study of mathematical analysis, the theory of functions of a real variable, the theory of functions of a complex variable, etc.

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On the axiomatic foundations of the theory of Hermitian forms

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100045515 ◽

1970 ◽

Vol 67 (2) ◽

pp. 243-250 ◽

Cited By ~ 34

Author(s):

C. T. C. Wall

Keyword(s):

Recent Work ◽

Quadratic Forms ◽

Hermitian Form ◽

Major Objective ◽

Hermitian Forms ◽

Division Rings ◽

General Terms ◽

Definition Of ◽

Simple Definition

In recent work on some topological problems (7), I was forced to adopt a complicated definition of ‘Hermitian form’ which differed from any in the literature. A recent paper by Tits(5) on quadratic forms over division rings contains a new and simple definition of these. A major objective of this paper is to formulate both these definitions in somewhat more general terms, and to show that they are equivalent.

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Fractional Difference Equations with Real Variable

Abstract and Applied Analysis ◽

10.1155/2012/918529 ◽

2012 ◽

Vol 2012 ◽

pp. 1-24 ◽

Cited By ~ 7

Author(s):

Jin-Fa Cheng ◽

Yu-Ming Chu

Keyword(s):

Difference Equation ◽

Difference Equations ◽

Real Variable ◽

Fractional Difference ◽

Basic Properties ◽

Fractional Difference Equations ◽

Fractional Difference Equation ◽

Definition Of

We independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several methods of how to solve certain fractional difference equations.

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Corrections: Kim, T.; et al. Some Identities for Euler and Bernoulli Polynomials and Their Zeros. Axioms 2018, 7, 56

Axioms ◽

10.3390/axioms8040107 ◽

2019 ◽

Vol 8 (4) ◽

pp. 107

Author(s):

Taekyun Kim ◽

Cheon Ryoo

Keyword(s):

Complex Variable ◽

Bernoulli Polynomials ◽

Real Variable ◽

Euler Polynomials

The authors, Kim and Ryoo in [1], studied Euler polynomials and Bernoulli polynomials withan extended variable to a complex variable, replacing real variable x by complex variable x + iy,and achieved several useful identities and properties [...]

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The Stable core

Bulletin of Symbolic Logic ◽

10.2178/bsl/1333560807 ◽

2012 ◽

Vol 18 (2) ◽

pp. 261-267 ◽

Cited By ~ 2

Author(s):

Sy-david Friedman

Keyword(s):

Inner Model ◽

Definable Sets ◽

Stable Core ◽

Entire Universe ◽

Definition Of ◽

Simple Definition

AbstractVopěnka proved long ago that every set of ordinals is set-generic over HOD, Gödel's inner model of hereditarily ordinal-definable sets. Here we show that the entire universe V is class-generic over (HOD,S), and indeed over the even smaller inner model =(L[S],S), where S is the Stability predicate. We refer to the inner model as the Stable Core of V. The predicate S has a simple definition which is more absolute than any definition of HOD; in particular, it is possible to add reals which are not set-generic but preserve the Stable Core (this is not possible for HOD by Vopěnka's theorem).

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