Abstract: This brief presents a necessary and sufficient condition for testing positive, real, imaginary, and negative rational functions. A related term, the positive, imaginary, and negative ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

ABSTRACT: The paper addresses tensile shock physics in compressible thermoviscoelastic solids with rheology i.e., in compressible polymeric solids. Polymeric solids have elasticity, dissipation ...

A procedure for implementing an interval arithmetic version of the Newton-Raphson method is proposed. The procedure requires only a starting interval over which the ...

Add a description, image, and links to the rational-functions topic page so that developers can more easily learn about it.

CBSE Class 12 Mathematics Chapter 1 Relations and Functions Revision Notes: With the 2024 board exams around the corner, the time to put down the books and begin revising the topics has arrived.

Introduction, Statements, and Notation, Connectives, Well-formed formulas, Tautology, Duality law, Equivalence, Implication, Normal Forms, Functionally complete set of connectives, Inference Theory of ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Vector graph or chart of exponential function with formula or equation f(x) = ax, or f(x) = exp x. The mathematical operation, basic function. Graph with grid and coordinates isolated on white.