In mathematics, inverse functions play a significant role in understanding different equations and their behaviors. They help us by providing a way to reverse the operations performed by a function, ...

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Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...

1 Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey. 2 Department of Mathematical Engineering, Istanbul Technical University, Istanbul, Turkey. The Dupire formula ...

Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...

The inverse problems generally are ill-posed in Hadamard sense. These words lead us to think that there exist inverse problems that are well-posed and which are possible to be solved analytically [1].

Composite functions are made when the output from one function is used as the input of another function. The names of the functions are written next to each other, with the function that is used first ...

where matrix is a square nonsingular matrix. The INV function produces a matrix that is the inverse of matrix, which must be square and nonsingular. However, the SOLVE function is more accurate and ...