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(guò)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。