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}.

All integrals are indefinite. Definition of which differintegral operator is being used is context-dependent 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).

- nifkemtemsalri
- x
_{1}(vector) is the differintegral (with respect to time) of order x_{2}of the displacement of x_{3}(object/point) relative to x_{4}(object/point/frame of reference; contextless default: the origin in the home frame) in coordinate system/frame of reference/as measured by x_{5}according to definition/standard/(meta)physics x_{6}, taken with starting point x_{7} - nifkemtemsalryke'ecusna
- x
_{1}(scalar-valued) is the magnitude of the vector of the differintegral (with respect to time) of order x_{2}of the displacement of x_{3}(object/point) relative to x_{4}(object/point/frame of reference; contextless default: origin) in coordinate system/frame of reference/as measured by x_{5}according to definition/standard/(meta)physics x_{6}, where the differintegral is taken with starting point x_{7}, in metric/by definition x_{8} - velvenkemtemsalri
- x
_{1}is the x_{2}th-order time-differintegral of the cost/fee/debt or revenue ((possibly: monetary) charge/value) of or at which x_{3}is sold to/bought by customer x_{4}from vendor/seller x_{5}, with differintegral starting point x_{6}. - ne'o'au
- mekso quaternary operator: polygamma function; for input X
_{1, X}, outputs the (-X_{2)}th derivative of Log(ne'o'a(X_{1, X})) with respect to X_{1}. - faukne
- x
_{1}is a mathematical object for/to which operator x_{2}is defined/may be applied when under conditions x_{3}under definition (of operator)/standard/type x_{4} - salrixo
- 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}.