We present an abstraction of the knowledge map for creating a clear and concise view, which can be progressively 'zoomed in' or 'zoomed out' to navigate the knowledge space. We organize the graph based on mutual similarity scores between the nodes for aiding the cognitive process during ...
how to find diffrence of two numbers basic ti-84 introductory algebra an applied approach seventh edition ch. 1 for free TI-83 roots quadratic dividing absolute values complex numbers involving square roots and negatives write the equation of hyperbola with vertices and asymptote mixed numb...
We investigate the solution set Γ of an equation of the type f ( t , Φ( u ( t )) = 0, where Φ is a linear homeomorphism from a topological vector space X onto L 1 (T) and f: T × R → R is a Carathéodory function. More precisely, we characterize the property of Γ of...
We give a simple solution of the equation (pu′)′ + qu = ω2u when- ever a nontrivial solution of (pu′0)′ + qu0 = 0 is known. The method developed for obtaining this result is based on the theory of pseudoan- alytic functions and their relationship with solutions of the statio...
An additional noinflow boundary term is developed to prevent spurious excitation initiating on the boundary. The need for discretization in time is avoided by using a continuation method to gradually introduce the non-linear term of the governing equation. A small amount of artificial diffusion is ...
We study an exact solution to a singular ordinary differential equation and use the solution to give a new estimate on the lower bound of the first non-zero eigenvalue of a closed Riemannian manifold with a negative lower bound on the Ricci curvature in terms of the lower bound on the Ricc...
121A value for the unknown that makes both sides of an equation equal iscalled a solution to the equation.()20 A value for the unknown that makes both sides of an equation equal is called a solution to the equation. ( ) 220 A value for the unknown that makes both sides of an equa...
In the second part we discuss a recent research involvement, the success of which relies heavily on the numerical solution of nonlinear equation systems. We briefly describe path-following methods and then present an application to a simple steady-state reaction-diffusion equation arising in ...
The solution set of the equation, (x+1)log3 2x+4x(log)3x-16=0 is an empty set a singleton a set consisting of exactly two elements a set consisting of mo
A procedure of finding an exact periodic solution for a certain type of nonlinear wave equations is described. The exact solutions for some nonlinear wave equations with higher order dispersive term are explicitly presented including a case of u<SUB>t</SUB>+uu<SUB>x</SUB>−u<SUB>(5x)</...