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The Fermat–Catalan conjecture generalizes Fermat's last theorem with the ideas of the Catalan conjecture. [ 167 ] [ 168 ] The conjecture states that the generalized Fermat equation has only finitely many solutions ( a , b , c , m , n , k ) with distinct triplets of values ( a m , b n , c k ), where a , b , c are positive coprime integers and ...
The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and Zentralblatt MATH. This list has some items that would not fit in such a classification, such as list of exponential topics and list of factorial and binomial topics , which may surprise the reader with the diversity of their coverage.
The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem.
Depending on context (i.e. language, culture, region, ...) some large numbers have names that allow for describing large quantities in a textual form; not mathematical.For very large values, the text is generally shorter than a decimal numeric representation although longer than scientific notation.
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.
y = x 3 for values of 1 ≤ x ≤ 25.. In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3.
Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining method can briefly be described as "going backwards from the theorems to the axioms", in contrast to the ordinary mathematical practice of deriving theorems from axioms.