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An Erdős–Woods number, since it is possible to find sequences of 56 consecutive integers such that each inner member shares a factor with either the first or the last member. [ 5 ] The only known number n such that φ( n − 1)σ( n − 1) = φ( n )σ( n ) = φ( n + 1)σ( n + 1) , where φ( m ) is Euler's totient function and σ( n ) is the ...
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, ... [56] Here, A ∪ B is the union of A and B.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
Mathematics has a remarkable ability to cross cultural boundaries and time periods. As a human activity, the practice of mathematics has a social side, which includes education, careers, recognition, popularization, and so on. In education, mathematics is a core part of the curriculum and forms an important element of the STEM academic disciplines.
The Parker square, named after recreational mathematician Matt Parker, [55] is an attempt to create a 3 × 3 magic square of squares — a prized unsolved problem since Euler. [56] The Parker square is a trivial semimagic square since it uses some numbers more than once, and the diagonal 23 2 + 37 2 + 47 2 sums to 4107 , not 3051 as for all the ...
This following list features abbreviated names of mathematical functions, function-like operators and other mathematical terminology. This list is limited to abbreviations of two or more letters (excluding number sets).
Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein 's formula E = m c 2 {\displaystyle E=mc^{2}} is the quantitative representation in mathematical notation of mass–energy ...