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2. Partial fraction decomposition - Wikipedia

   en.wikipedia.org/wiki/Partial_fraction_decomposition

   Partial fraction decomposition. In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions ...

3. Fractional factorial design - Wikipedia

   en.wikipedia.org/wiki/Fractional_factorial_design

   Each generator halves the number of runs required. A design with p such generators is a 1/(l p)=l −p fraction of the full factorial design. [3] For example, a 2 5 − 2 design is 1/4 of a two-level, five-factor factorial design. Rather than the 32 runs that would be required for the full 2 5 factorial experiment, this experiment requires only ...

4. Mathematical model - Wikipedia

   en.wikipedia.org/wiki/Mathematical_model

   A mathematical model is an abstract description of a concrete system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in applied mathematics and in the natural sciences (such as physics, biology, earth science, chemistry) and engineering ...

5. Erdős–Rényi model - Wikipedia

   en.wikipedia.org/wiki/Erdős–Rényi_model

   e. In the mathematical field of graph theory, the Erdős–Rényi model refers to one of two closely related models for generating random graphs or the evolution of a random network. These models are named after Hungarian mathematicians Paul Erdős and Alfréd Rényi, who introduced one of the models in 1959. [1][2] Edgar Gilbert introduced the ...

6. Flory–Huggins solution theory - Wikipedia

   en.wikipedia.org/wiki/Flory–Huggins_solution...

   Flory–Huggins solution theory. Flory–Huggins solution theory is a lattice model of the thermodynamics of polymer solutions which takes account of the great dissimilarity in molecular sizes in adapting the usual expression for the entropy of mixing. The result is an equation for the Gibbs free energy change for mixing a polymer with a solvent.

7. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   Continued fraction. A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this ...

8. Fractional-order system - Wikipedia

   en.wikipedia.org/wiki/Fractional-order_system

   Fractional-order system. In the fields of dynamical systems and control theory, a fractional-order system is a dynamical system that can be modeled by a fractional differential equation containing derivatives of non-integer order. [ 1] Such systems are said to have fractional dynamics. Derivatives and integrals of fractional orders are used to ...

9. Unit fraction - Wikipedia

   en.wikipedia.org/wiki/Unit_fraction

   Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.