Examples of 'integral equation' in a sentence
Meaning of "integral equation"
integral equation: A mathematical equation that includes an unknown function under an integral sign, often used in calculus and mathematical analysis to solve various problems
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                                    - An equation involving a function f(x) and integrals of that function to be solved for f(x)
How to use "integral equation" in a sentence
                                        
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                                integral equation
                                
                                
                                
                            
                            
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Fredholm integral equation of the first kind.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Swedish mathematician who founded modern integral equation theory.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Fredholm integral equation of the third kind.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    I would ask help to solve the following integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The volume integral equation is then solved numerically.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Of the corresponding integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Fredholm integral equation of second kind.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Kernel functions can be useful in approximating and solving this integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Satisfies the integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Integral equation methods for extreme materials and surfaces.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Origins in integral equation theory.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Integral equation then becomes.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Consider the integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Surface integral equation method is used in computational electromagnetics to simplify complex problems.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Electric field integral equation.
                                        
                                    See also
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The generating function is then expressed in terms of eigenvalues of a simpler integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Kernel function for solving integral equation of surface radiation exchanges.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The proof of this theorem proceeds by reformulating the problem as an equivalent integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Fourier integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Computation of electromagnetic scattering from divergenceless boundary objects using integral equation method.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Fredholm integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The integral equation method with fully nonlinear free surface conditions are also applied.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Kernel function is also used in integral equation for surface radiation exchanges.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    This thesis studies numerical electromagnetic simulations with the surface integral equation method.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The equation of radiosity is an integral equation who admits a unique solution in realistic cases.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    One central example of a linear inverse problem is provided by a Fredholm first kind integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The next paper will apply this integral equation to prolate spheroidal cavities.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The integral equation was studied by Ivar Fredholm.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The second part examines properties of different volume integral equation formulations and their discretizations.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Integral equation - equation involving integrals.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The numerical solution of the integral equation shows a nice transition to the continuum.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    If f is nonzero, it is called an inhomogeneous integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A linear Volterra integral equation is a convolution equation if.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The inhomogeneous Fredholm integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Integral equation methods for extreme-parameter materials and novel boundary conditions.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Successive iteration of this integral equation yields the Neumann series.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Its distribution kernel is represented by a time-dependent boundary integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    For theoretical purposes, the integral equation version is often very useful.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Through the use of this set of sites the corresponding integral equation becomes,.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    This is an integral equation which can be iterated, i . e.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Therefore, we see that if the integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Abel 's integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    The solution of Fredholm ´ s integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Lindley's integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    See also, Spectral theory of ordinary differential equations and Integral equation.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    In particular, an advanced integral equation model ( ALEM ) is introduced.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    An EU project developed a way to predict these properties using Integral Equation Theory ( LET ).
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    There, Herglotz solved a special integral equation of Abelian type.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Here, we convert the corresponding ivp at hand into an integral equation via duhamel 's principle.
                                        
                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    With this simplification, integral Equation becomes.
                                        
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                                                            The empirical equation to be estimated is the following
                                                        
                                                    
                                                            Four statistics are estimated with this equation
                                                        
                                                    
                                                            The equation of the model is presented below
                                                        
                                                    
                                        Examples of using Integral
                                        
                                                                                            
                                                    
                                                        
                                                        
                                                    
                                                         
                                                        
                                                                                                            
                                                
                                                                                            
                                                    
                                                        
                                                        
                                                    
                                                         
                                                        
                                                                                                            
                                                
                                                                                            
                                                    
                                                        
                                                        
                                                    
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                                                            Integral person member active in his environment
                                                        
                                                    
                                                            Make outreach an integral part of staff missions
                                                        
                                                    
                                                            Integral attention to the health of the child