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and Dierence Quotient. Part II

Profile image of Yanping ZhuangYanping Zhuang

2008

https://doi.org/10.2478/V10037-008-0007-1
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5 pages

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Abstract

In this article, we give some important properties of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions .

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References (17)

  1. For every x holds (δ h [(the function sin) (the function cos) (the function
  2. If x 0 ∈ dom (the function tan) and x 1 ∈ dom (the function tan), then ∆[the function tan](x 0 , x 1 ) = sin(x 0 -x 1 ) cos x 0 •cos x 1 •(x 0 -x 1 ) .
  3. If x 0 ∈ dom (the function cot) and x 1 ∈ dom (the function cot), then ∆[the function cot](x 0 , x 1 ) = - sin(x 0 -x 1 ) sin x 0 •sin x 1 •(x 0 -x 1 ) .
  4. Suppose x 0 ∈ dom (the function cosec) and x 1 ∈ dom (the function co- References
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  8. Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
  9. Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathema- tics, 1(2):269-272, 1990.
  10. Bo Li, Yan Zhang, and Xiquan Liang. Difference and difference quotient. Formalized Mathematics, 14(3):115-119, 2006.
  11. Beata Perkowska. Functional sequence from a domain to a domain. Formalized Mathe- matics, 3(1):17-21, 1992.
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  13. Andrzej Trybulec and Yatsuka Nakamura. On the decomposition of a simple closed curve into two arcs. Formalized Mathematics, 10(3):163-167, 2002.
  14. Peng Wang and Bo Li. Several differentiation formulas of special functions. Part V. Formalized Mathematics, 15(3):73-79, 2007.
  15. Renhong Wang. Numerical approximation. Higher Education Press, Beijing, 1999.
  16. Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
  17. Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998.

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