Computations in finitie fields

Finding the minimum or maximum value of a function, $f(x)$, over a set of inputs, $\mathbb{S}$.  Points in $\mathbb{S}$ are called feasible points.

Constrained Optimization

- Computation of transforms
- Computations in finite fields
- Computations on matrices
- Computations on polynomials
- Number-theoretic computations
- Interpolation
- Numerical differentiation
- Interval arithmetic
- Arbitrary-precision arithmetic
- Automatic differentiation
- Mesh generation
- Discretization

Ohio State University, Columbus

- Discrete mathematics
- Probability and statistics
- Mathematical software
- Information theory
- Mathematical analysis
- Continuous mathematics

Mathematics of computing in ACM Computing Classification

[dl.acm.org/ccs](https://dl.acm.org/ccs) 

ACM Computing Classification System

Statistics is the process of gathering, analyzing, and interpreting information in order to help people make decisions when faced with uncertainty.

Statistics

The linear algebra necessary to further explain Machine Learning in our capacity, requires a basic understanding of 
- Linear Systems of Equations
- Linear Transformations
- Vector Spaces
- Orthogonality
- Eigenvalues


Linear Algebra

Information theory is the mathematical understanding of parameters and rules of transmitting and processing information through communication systems.

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