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In mathematics, the phrase "of the form" indicates that a mathematical object, or (more frequently) a collection of objects, follows a certain pattern of expression. It is frequently used to reduce the formality of mathematical proofs. ==Example of use== Here is a proof which should be appreciable with limited mathematical background: ''Statement:'' The product of any two even natural numbers is also even. ''Proof:'' Any even natural number is of the form ''2n'', where ''n'' is any natural number. Therefore, let us assume that we have two even numbers which we will denote by ''2k'' and ''2l''. Their product is (''2k'')(''2l'') = 4(''kl'') = 2(''2kl''). Since ''2kl'' is also a natural number, the product is even. ''Note:'' In this case, both exhaustivity and exclusivity were needed. That is, it was not only necessary that every even number is of the form ''2n'' (exhaustivity), but also that every expression of the form ''2n'' is an even number (exclusivity). This will not be the case in every proof, but normally, at least exhaustivity is implied by the phrase of the form. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Of the form」の詳細全文を読む スポンサード リンク
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