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Radical 8 or radical lid (亠部), whose meaning as an independent word is unknown, but is often interpreted to be a "lid" when used as a radical, is radical 23 of the 214 Kangxi radicals and consists of two strokes. In the Kangxi Dictionary, there are 38 characters (out of 49,030) to be found under this radical.
Radical 4 or radical slash (丿部) meaning "slash" or "bend" is one of 6 of the 214 Kangxi radicals that are composed of only one stroke. In the Kangxi Dictionary, there are 33 characters (out of 49,030) to be found under this radical. It is highly similar to the Japanese katakana, no (ノ), thus colloquially referred to as "no" in Japanese.
In number theory, the radical of a positive integer n is defined as the product of the distinct prime numbers dividing n. Each prime factor of n occurs exactly once as a factor of this product: r a d ( n ) = ∏ p ∣ n p prime p {\displaystyle \displaystyle \mathrm {rad} (n)=\prod _{\scriptstyle p\mid n \atop p{\text{ prime}}}p}
A non-nested radical expression is said to be in simplified form if no factor of the radicand can be written as a power greater than or equal to the index; there are no fractions inside the radical sign; and there are no radicals in the denominator. [8]
The nested radicals in this solution cannot in general be simplified unless the cubic equation has at least one rational solution. Indeed, if the cubic has three irrational but real solutions, we have the casus irreducibilis, in which all three real solutions are written in terms of cube roots of complex numbers. On the other hand, consider the ...
Radical 12 or radical eight (八部), meaning eight or all, is one of 23 of the 214 Kangxi radicals that are composed of two strokes. "八" is two bent lines that signal divide . Eight is the single-digit number that can be divided by two the greatest number of times.
The Table of Indexing Chinese Character Components [1] (simplified Chinese: 汉字部首表; traditional Chinese: 漢字部首表; pinyin: hànzì bùshǒu biǎo; lit. 'Chinese character radicals table') is a lexicographic tool used to order the Chinese characters in mainland China. The specification is also known as GF 0011-2009.
A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of n th roots (square roots, cube roots, etc.). A well-known example is the quadratic formula