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The Junior section is geared towards Lower Secondary students, and topics tested include number theory, combinatorics, geometry, algebra, probability and sometimes even calculus. Beginning in 2006, a second round was added, based on the Senior Invitational Round, in the form of a 5-question, 3-hour long paper requiring full-length solutions.
In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra.In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, [1] India, [2] China, Germany, and Italy.
It addresses questions like "Why are rainbows curved?" and "Why aren't left-handers extinct?", with the answer being: maths, and that maths is all about patterns with the universe is extraordinarily patterned. [11] The second, Eddie Woo's Magical Maths, is a children's activity book.
However, similar patterns appear already as a common motif of 13th-century Cosmatesque inlay stonework. [ 19 ] The Apollonian gasket , named for Apollonius of Perga (3rd century BC), was first described by Gottfried Leibniz (17th century) and is a curved precursor of the 20th-century Sierpiński triangle.
In mathematics, a geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in higher-dimensional objects called multivectors ...
The term algebra is derived from the Arabic word al-jabr meaning 'the reunion of broken parts' that he used for naming one of these methods in the title of his main treatise. [31] [32] Algebra became an area in its own right only with François Viète (1540–1603), who introduced the use of variables for representing unknown or unspecified ...
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