scholarly journals Basis Existence of Internal n-Graph Space

CAUCHY ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 58
Author(s):  
Ahmad Lazwardi
Keyword(s):  
Continuous Function ◽  
Vector Space ◽  
Real Number ◽  
Cartesian Product ◽  
Number System ◽  
Graph Function ◽  
Real Number System

Graph of real valued continuous function with special addition and multiplication has already proven that is isomorphic to real number system. Furthermore, the graph of continous real valued function forms a field. The aim of this research was to generalize such concept to its n-tuple Cartesian Product and to prove that interchange of basis still able to be executed. The result of this research is n-tuple Cartesian Product of graph function forms a vector space over  and interchange of basis still able to be executed

Dirac Delta Functions Via Nonstandard Analysis

1975 ◽  
Vol 18 (5) ◽  
pp. 759-762 ◽  
Author(s):  
A. H. Lightstone ◽  
Kam Wong
Keyword(s):  
Continuous Function ◽  
Real Number ◽  
Nonstandard Analysis ◽  
Short Interval ◽  
Delta Function ◽  
Number System ◽  
Dirac Delta Function ◽  
Dirac Delta ◽  
Delta Functions ◽  
Real Number System

We recall that a Dirac delta function δ(x) in the real number system is the idealization of a function that vanishes outside a "short" interval and satisfies It is conceived as a function δ for which δ(0)=+ ∞, δ(t)=0 if t≠0, and This function should possess the "sifting property" for any continuous function f. Even though certain sequences of functions are used, via a limit operation, to approximate a Dirac delta function (for details, see [3] and [4]), no function in has these properties.

scholarly journals The cognitive process of extended trans students in understanding the real number system

2020 ◽  
Vol 1470 ◽  
pp. 012070
Author(s):  
Dewi Herawaty ◽  
Wahyu Widada ◽  
Iran Sairan ◽  
Fizi Herdian ◽  
Khathibul U Z Nugroho ◽  
...  
Keyword(s):  
Real Number ◽  
Cognitive Process ◽  
Number System ◽  
The Real ◽  
Real Number System

The Structure of the Real Number System.

1964 ◽  
Vol 71 (9) ◽  
pp. 1061
Author(s):  
J. B. Roberts ◽  
L. W. Cohen ◽  
G. Ehrlich
Keyword(s):  
Real Number ◽  
Number System ◽  
The Real ◽  
Real Number System

Symbolic Logic and the Real Number System

1967 ◽  
Vol 51 (375) ◽  
pp. 78
Author(s):  
R. L. Goodstein ◽  
A. H. Lightstone ◽  
R. Katz
Keyword(s):  
Real Number ◽  
Number System ◽  
Symbolic Logic ◽  
The Real ◽  
Real Number System

scholarly journals Construction of the Real Number System

2014 ◽  
Vol 10 (2) ◽  
pp. 14-17
Author(s):  
Reema Agarwal ◽  
◽  
Mahesh Kumar
Keyword(s):  
Real Number ◽  
Number System ◽  
The Real ◽  
Real Number System
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