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Irreducible fraction. An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1] In other words, a fraction a b is irreducible if and only if a and b are ...
A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [9] As with other fractions, the denominator ( b) cannot be zero. Examples include 1 2, − 8 5, −8 5, and 8 −5.
Simplified Chinese characters are one of two standardized character sets widely used to write the Chinese language, with the other being traditional characters.Their mass standardization during the 20th century was part of an initiative by the People's Republic of China (PRC) to promote literacy, and their use in ordinary circumstances on the mainland has been encouraged by the Chinese ...
Ceyuan haijing ( simplified Chinese: 测圆海镜; traditional Chinese: 測圓海鏡; pinyin: cè yuán hǎi jìng; lit. 'sea mirror of circle measurements') is a treatise on solving geometry problems with the algebra of Tian yuan shu written by the mathematician Li Zhi in 1248 in the time of the Mongol Empire. It is a collection of 692 formula ...
Continued fraction. A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this ...
Pre-season and friendlies. On 24 May, Swindon Town announced their initial pre-season schedule, with matches against Swindon Supermarine, Hungerford Town and Melksham Town. A home friendly versus Wycombe Wanderers was later confirmed.
Gregg shorthand is a system of shorthand developed by John Robert Gregg in 1888. Distinguished by its phonemic basis, the system prioritizes the sounds of speech over traditional English spelling, enabling rapid writing by employing elliptical figures and lines that bisect them. Gregg shorthand's design facilitates smooth, cursive strokes ...
These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.