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valsi 
salri 
type 
experimental gismu 
creator 
krtisfranks 
time entered 
Fri Jan 30 22:46:09 2015 
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English


Definition #64495
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definition 
x_{1} is the differintegral of x_{2} with respect to x_{3} of order x_{4}, with differintegration being according to definition/specification or of type x_{5}. 
notes 
All integrals are indefinite. Definition of which differintegral operator is being used is contextdependent if not specified explicitly by x_{5}. Dimensionality of x_{1} and x_{2} may be similarly specified. Output x_{1} is a function, not a value (that is, it is some f rather than f (x)); it must be specified/restricted to a value in order to be a value; thus, output may be g' but not g'(a) for some a; similarly, definite integrals and integration constants must be defined with additional effort. x_{2} is likewise a function. If x_{2} is univariate, then x_{3} defaults to that input/variable; when x_{2} is physical, without context, time will probably usually but not necessarily be assumed as the default of x_{3} (but may be made explicit by "temsalri"). Positive values of x_{4} are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for x_{4}; x_{4} has no default value. Useful for making lujvo for physics, for specifying career/total/sum versus peak/instantaneous value, for distinguishing between instantaneous versus average values/quantities, for specifying rates, generalized densities (including pressure), "per" for smooth quantities, etc. See also: "salrixo" (synonymous zi'evla).

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created by 
krtisfranks 
vote information 
2

time 
Thu Oct 8 18:14:47 2020 

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