## Mathematics and Statistics Faculty and Staff Publications

#### Document Type

Article

#### Publication Date

2012

#### Abstract

This paper presents the correspondences of the eccentric mathematics of cardinal and integral functions and centric mathematics, or ordinary mathematics. Centric functions will also be presented in the introductory section, because they are, although widely used in undulatory physics, little known. In centric mathematics, cardinal sine and cosine are dened as well as the integrals. Both circular and hyperbolic ones. In eccentric mathematics, all these central functions multiplies from one to innity, due to the innity of possible choices where to place a point. This point is called eccenter S(s;") which lies in the plane of unit circle UC(O;R = 1) or of the equilateral unity hyperbola HU(O;a = 1;b = 1). Additionally, in eccentric mathematics there are series of other important special functions, as aex, bex, dex, rex, etc. If we divide them by the argument , they can also become cardinal eccentric circular functions, whose primitives automatically become integral eccentric circular functions.

#### Publisher

INTERNATIONAL JOURNAL OF GEOMETRY

#### Publication Title

INTERNATIONAL JOURNAL OF GEOMETRY

#### Volume

1

#### Issue

1

#### Language (ISO)

English

#### Keywords

C-Circular, CC- C centric, CE- C Eccentric, CEL-C Elevated, CEX-C Exotic, F-Function, FMC-F Centric Mathematics, M- Matemathics, MC-M Centric, ME-M Excentric, S-Super, SM- S Matematics, FSM-F Supermatematics FSM-CE- FSM Eccentric Circulars, FSM-CEL- FSM-C Elevated, FSM-CEC- FSM-CE- Cardinals, FSM-CELCFSM-CEL Cardinals

#### Recommended Citation

Smarandache, Florentin; Mircea SELARIU; and Marian NITU.
"CARDINAL FUNCTIONS AND INTEGRAL FUNCTIONS."
*INTERNATIONAL JOURNAL OF GEOMETRY*

#### Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

#### Included in

Applied Mathematics Commons, Geometry and Topology Commons, Logic and Foundations Commons