f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
A piecewise defined function is a function which is defined symbolically using two or more formulas
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
The form of the piecewise functions can be arbitrarily complex, but higher degrees of specification require considerably more user input.
All differentiable functions need be continuous at least.
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f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
piecewise
A piecewise defined function is a function which is defined symbolically using two or more formulas
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.
yes :D
J. F. P. Hudson has written: 'Piecewise linear topology' -- subject(s): Piecewise linear topology
The form of the piecewise functions can be arbitrarily complex, but higher degrees of specification require considerably more user input.
All differentiable functions need be continuous at least.
Piecewise <3
Liming Dai has written: 'Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments' -- subject(s): Dynamics, Nonlinear theories