They reserved the word arithmetica for the theory of numbers . 他們的算術(shù)指的是數(shù)論。
If the form and system not short on an elementary theory of number are consistent, then they are incomplete 摘要一個(gè)不弱于初等數(shù)論的形式系統(tǒng)如果是一致的,則是不完全的。
Some identitiess are important in function theory, combinatorial mathematics, analytic theory of number and other regions . in this paper, some combinatorial identities are proved based on binomial generating function 摘要一些恒等式在函數(shù)論、組合數(shù)學(xué)、解析數(shù)論等學(xué)科的研究領(lǐng)域中極為重要。以二項(xiàng)式作為生成函數(shù),給出了幾個(gè)組合恒等式證明。
Through the statistical analysis of all the 42 winners of the 20th century, discoveries have been made that : 1 . achievements of the medal winners centralize in topology, algebra, algebraic geometry, differential equation, analysis, theory of number and so on, which represent the mainstream of the math development in the 20th century 一、通過對(duì)20世紀(jì)42位獲獎(jiǎng)?wù)呋厩闆r統(tǒng)計(jì)分析發(fā)現(xiàn):(1)獲獎(jiǎng)?wù)叩墨@獎(jiǎng)成就主要集中拓?fù)鋵W(xué)、代數(shù)學(xué)、代數(shù)幾何學(xué)、微分方程、分析學(xué)、數(shù)論等方面,這些學(xué)科代表著20世紀(jì)數(shù)學(xué)發(fā)展的主流。