Difference and Difference Quotient

• Autorzy: Bo Li , Yan Zhang , Xiquan Liang
• Języki publikacji: EN

Abstrakty

EN

In this article, we give the definitions of forward difference, backward difference, central difference and difference quotient, and some of their important properties.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 3
• Strony: 115-119

Daty

wydano

2006-01-01

online

2008-06-09

Twórcy

autor

Bo Li

• Qingdao University of Science and Technology, China

autor

Yan Zhang

• Qingdao University of Science and Technology, China

autor

Xiquan Liang

• Qingdao University of Science and Technology, China

Bibliografia

• [1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.
• [2] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
• [3] Józef Białas. Some properties of the intervals. Formalized Mathematics, 5(1):21-26, 1996.
• [4] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
• [11] Takaya Nishiyama and Yasuho Mizuhara. Binary arithmetics. Formalized Mathematics, 4(1):83-86, 1993.
• [12] Beata Perkowska. Functional sequence from a domain to a domain. Formalized Mathematics, 3(1):17-21, 1992.
• [13] Konrad Raczkowski and Andrzej Nedzusiak. Series. Formalized Mathematics, 2(4):449-452, 1991.
• [14] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
• [15] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.
• [16] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
• [17] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
• [5] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
• [6] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
• [7] Artur Korniłowicz. On the real valued functions. Formalized Mathematics, 13(1):181-187, 2005.
• [8] Jarosław Kotowicz. Convergent real sequences. Upper and lower bound of sets of real numbers. Formalized Mathematics, 1(3):477-481, 1990.
• [9] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.
• [10] Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887-890, 1990.
• [18] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
• [19] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.

Identyfikatory

DOI

10.2478/v10037-006-0014-z