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In Singapore, Additional Mathematics is an elective subject offered to pupils in secondary school—specifically those who have an aptitude in Mathematics and are in the Normal (Academic) stream [ 1] or Express stream. The syllabus covered is more in-depth as compared to Elementary Mathematics, with additional topics including Algebra binomial ...
Fermat's Last Theorem, formulated in 1637, states that no three positive integers a, b, and c can satisfy the equation + = if n is an integer greater than two (n > 2).. Over time, this simple assertion became one of the most famous unproved claims in mathematics.
The branch of mathematics deals with the properties and relationships of numbers, especially positive integers. Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory ...
1⁄2 in) standard gauge. The MF 19 ( Métro Fer appel d'offres 2019; 2019 procurement rail metro) is a class of rolling stock being built for the Paris Métro. It was ordered to replace existing trains on Lines 3, 3bis, 7, 7bis, 8, 10, 12 and 13, starting in 2025. It is being built by Alstom. Lines 3bis and 7bis will use 4-car trains, an ...
Mathematics education in Australia varies significantly between states and territories, particularly at the upper secondary level. Each region operates its own education system and curriculum, which results in differences in what is taught and how it is assessed. Additionally, some schools offer the International Baccalaureate (IB) program ...
Matrix decomposition. In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions; each finds use among a particular class of problems.
In 1979, R. Geoghegan made four conjectures about F: (1) F has type FP ∞; (2) All homotopy groups of F at infinity are trivial; (3) F has no non-abelian free subgroups; (4) F is non-amenable. (1) was proved by K. S. Brown and R. Geoghegan in a strong form: there is a K(F,1) with two cells in each positive dimension.
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic.