ENG 6 Lecture Notes - Lecture 18: Differential Calculus
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Use regexprep to substitute based on a pattern. Example: y = denise and ennis went to denny""s to eat dinner", regexp(y,"den","match", ans = den" den" den", regexp(y,"den\w*","match", ans = denise" dennis" denny", regexprep(y,"den\w*","peter") Ans = peter and peter when to peter"s to eat dinner: regexprep(y,"den(\w*)","peter") Ans = peterise and peternis went to peterny"s to eat dinner. Need , back reference which grabs the token in first set of parentheses. Differential equations intuitively easy to describe/define many phenomena in terms of differential equations integrals are less common, more intuitive to express the rate of change as functions of state variables. Some solutions can be found analytically w/ formulas or simple functions. Others can"t be expressed in terms of other functions and need to be found using numerical methods. Differential calculus first invented to describe movement of earth around the sun. Contains ordinary derivatives, single independent variable: partial.
