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The study of the meaning and relationships of statements used to represent precise mathematical ideas. Symbolic logic is also called formal logic.

A mathematical object is said to be symmetric if it is invariant ("looks the same") under a symmetry transformation. A function, matrix, etc., is symmetric if it remains ...

An (n,k)-talisman hexagon is an arrangement of nested hexagons containing the integers 1, 2, ..., H_n=3n(n-1)+1, where H_n is the nth hex number, such that the difference ...

An n×n array of the integers from 1 to n^2 such that the difference between any one integer and its neighbor (horizontally, vertically, or diagonally, without wrapping ...

The partial differential equation u_(xx)=au_(tt)+bu_t+cu.

The second-order ordinary differential equation y^('')=y^(3/2)x^(-1/2).

Maximize the amount of floor space which can be covered with a fixed tile (Hoffman 1998, p. 173).

A relation on a totally ordered set.

To translate an object means to perform a translation. A translate of a mathematical object means a shifted (i.e., translated) version of the object. Hence, one can speak of ...

A mathematical relationship transforming a function f(x) to the form f(x+a).