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斗 is also the 96th indexing component in the Table of Indexing Chinese Character Components predominantly adopted by Simplified Chinese dictionaries published in mainland China. 市斗 shìdǒu , sometimes represented by 斗 dǒu alone, is also the symbol for a Chinese traditional measurement of dry volume equaling about 10 liters, which is ...
Pages in category "Simplified Chinese radicals" ... Radical 67; Radical 70; Radical 86; Radical 68; Radical 63; Radical 61; Radical 80; Radical 113; Radical 99 ...
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.
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 ...
Distribution of the number of entries per radical in the Kangxi Dictionary. The Kangxi dictionary lists a total of 47,035 characters divided among the 214 radicals, for an average of 220 characters per radical; however, the distribution is unequal, with the median number of characters per radical being 64, the maximum number being 1,902 (for radical 140 艸), and the minimum being 5 (for ...
In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...
A fraction may also contain radicals in the numerator or the denominator. If the denominator contains radicals, it can be helpful to rationalize it (compare Simplified form of a radical expression), especially if further operations, such as adding or comparing that fraction to another, are to be carried out. It is also more convenient if ...
The latter fraction is the best possible rational approximation of π using fewer than five decimal digits in the numerator and denominator. Zu Chongzhi's results surpass the accuracy reached in Hellenistic mathematics, and would remain without improvement for close to a millennium.