Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

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 ...

A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division. Laws of logarithms and exponents Revise what logarithms are and how to use ...

Decide whether each statement is true or false. If true, explain why. If false, provide a counterexample. All rational numbers are integers. The absolute value of a number is always positive. Write an ...

We provide a number of results that can be used to derive approximations for the Euler product representation of the zeta function of an arbitrary algebraic function field. Three such approximations ...

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space. The points could be an infinite collection of electrons ...