improper adj. 1.不適當(dāng)?shù)?,不合適的,非正常的。 2.不正確的,錯(cuò)誤的。 3.不道德的;褻瀆的,不合禮儀的,下流的。 a remark improper to the occasion 不合時(shí)宜的話。 put sth. to an improper use 誤用。 improper language 無禮的話。 an improper person 下流的人。 adv. -ly ,-ness n.
integral adj. 1.完全的;缺一不可的,主要的。 2.【數(shù)學(xué)】整的,積分的。 an integral steel plant 綜合鋼鐵廠。 an integral part of …的一個(gè)主要部分。 an integral whole 整體。 integral equation 積分方程。 n. 全體,整體;【數(shù)學(xué)】積分。 definite integral 定積分。 double integral (二)重積分。 indefinite integral 不定積分。 n. -ity 完整性。 adv. -ly
Chapter 4, omitting the section on the existence of the integral but including improper integrals . 第四章略去了關(guān)于積分存在性那一節(jié),且包括廣義積分。
A new class of nonlinear inequalities involving improper integrals 一類新的含反常積分的非線性不等式
Some nonlinear inequalities involving improper integrals and their discrete analogues 涉及廣義積分及其離散模型的某些非線性不等式
Comparison of convergences on regular integral two kinds of improper integral and infinite series 求無窮級(jí)數(shù)和以及多重積分極限的概率方法
These new improper integral inequalities are closely related with some integral inequalities proved by the present author in an earlier paper 這類含反常積分的非線性不等式與筆者以前證明的某些非線性積分不等式密切相關(guān)。
A priori point - wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals 摘要對(duì)滿足一類新的含反常積分非線性不等式的有界函數(shù)建立了先驗(yàn)逐點(diǎn)估計(jì)。
百科解釋
In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number or ∞ or ?∞ or, in some cases, as both endpoints approach limits. Such an integral is often written symbolically just like a standard definite integral, perhaps with infinity as a limit of integration.