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Autor: Ozoemena, P.C (Comienzo)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
No convencional
Autor: Ozoemena, P.C
Título: On the areas of various bodies in the Euclidean Space: The case of irregular convex polygons
Código: R/IC/88/353
Editorial: Trieste INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS , ITALIA
Fecha: 1986
Páginas/Colación: 19 p.
Tipo de impresión: Impreso
Idioma: Palabras: Español Español
Descriptor Temático: Palabras: LOGICA Y ALGORITMOS LOGICA Y ALGORITMOS
Información de ejemplaresEjemplares

Idioma: Palabras: Español Español
Descriptor Temático: Palabras: LOGICA Y ALGORITMOS LOGICA Y ALGORITMOS
No convencional International Centre For Theoretical Physics

Descrip.
RESUMEN

RESUMEN

 

A theorem is proposed for the areas of n-sided convex polygons, of given lengths of sides. The theorem is illustrated as a simple but powerful one in estimating the areas of irregular polygons, being dependent only on the number of sides n (and not on any of the specific angles) of the irregular polygon. Finally, because of the global symmetry shown by equilateral triangles, squares and circles under group (gauge) theory, the relationships govering this areas, when their are inscribed or escribed in one another are discussed as riders, and some areas of their applications in graph theory, ratios and maxima and minima problems of differential calculus briefly mentioned

 

Registro 2 de 2, Base de información BIBCYT
No convencional
Autor: Ozoemena, P.C. ; Onwumechili, C.A.
Título: Some Basic Theorems on the Cross-Sums of Certain of Numbers (M-1) when the Operations are Done with Different Bases M of the Arithmetic
Código: IC/88/374
Editorial: , Trieste INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS , ITALIA
Fecha: 1988
Páginas/Colación: 22 p.
Tipo de impresión: Impreso
Idioma: Palabras: Inglés Inglés
Información de ejemplaresEjemplares

Idioma: Palabras: Inglés Inglés

Nota
TABLA DE CONTENIDO

TABLA DE CONTENIDO

·         INTRODUCTION.

·         THEORY OF THE PROOF.

·         THEOREMS.

·         PROOF OF THEOREM I

1.        LEMMA

2.        PROOF

3.        PROOF OF THEOREM

4.        COROLLARIES

4.1. COROLLARY 1

4.2. COROLLARY 2

4.3. COROLLARY 3

4.4. COROLLARY 4

5.        RESULTS.

6.        DISCUSSIONS.

7.        COMMENTS ON THE NUMERAL 9 AND NUMBERS WHOSE CROSS SUMS ARE 9.

8.        CONCLUSIONS.

9.        ACKNOWLEDGMENTS.

10.     REFERENCES.

11.     TABLES.

Descrip.
TABLA DE CONTENIDO

RESUMEN

Some new theorems have been propounded for the numbers (M - 1), as they relate to other numerals, through the basic arithmetical operations, at different bases M. For some reason, we give the proof of the theorems for the case M = 10 using mathematical induction, and by Peano’s fifth axiom make our generalizations. Comments are made in respect of the numbers (M - 1), (in this case 9). Apart from our theorem facilitating mathematical operations, evidences have also been given, from different sources of the interesting properties of this class of numbers, represented in our own case by the numeral 9. The theorems neither violate the divisibility rule for 9 nor are they a consequence of it. From smmetry, a suggestion is made in respect of the possible origin of the numeration in base 10, and the case of a ten dimensional Universe reconsidered.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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