delta experimental gismu

x1 (amount/value (li/ni) or labelled entity) is the (mutual) difference between/change in (states/realizations of/output from) general and relevant idea/object or subject of interest or function/aspect/property/topic/dependent parameter/dependent variable x2 under or due to a change in (independent) parameter/variable/index/identification/ownership/property/aspect x3 (generic name) to (later) specific state/realization/value/person/entity/meaning x4 (type and dimensions match those of x3) from (earlier) specific state/realization/value/person/entity/meaning x5 (type and dimensions match that of x3), under circumstances/conditions/with(in) scope/with caveats x6.

Especially in reference to incremental or quantized (or discretely observed) changes. x2 is an x1-type-valued function of x3; x4 and x5 are realizations of x3 (therefore, all three share type). For example, x1 could be some value with dimensions of currency/money/monetary value measured in real numbers, x2 could be a specific business' profit from certain sales, x3 may be time (so, x2 would be the profit over time, measured in a real number of units of currency), and x4 and x5 would be specific times - such as today and yesterday, respectively. Ideally, all factors, variables, conditions, etc. other than x3 should remain constant or there should be a control group/population which records the effects of changes in other factors, variables, conditions, etc.; however, in real life, things can be more complicated or messy and it is hard to ensure that all factors are accounted for (especially in social experiments and business); x5 records those other conditions or specifies the scope (for example: subjects, time, and location) of the 'experiment'. Typically, x4 will be temporally later than x5, but this need not be the case; in any case, x4 is taken to be the latter state (etc.) under consideration in the present analysis in the context of this word's usage (in some sequence). x1 could be "0" (whatsoever that means) - it could even be identically so; in other words, there need be no change or mutual difference, even in principle (the function/object could be constant); and this fact could even be known a priori. See also: "sumji" / "selsumji".


On gloss:

velri'ekempintu'a in sense "of a river"
x1 is a relatively flat alluvial plain/river delta between (mostly) terminal branches of river x3 on landmass x4, near or touching terminal point/boundary x2.

In definition:

zdeltadirake
x1 is the Dirac delta function (generalized), defined on structure x2 (contextless default is probably the field of real numbers), yielded by family of distributions x3 (contextless default is probably Gaussians centered at 0 and which enclose unit area)
zdeltakronekre
x1 is a Kronecker delta function defined on structure x2 which evaluates to one for any argument belonging to subset x3 and which evaluates to zero otherwise

In notes:

ca'o'e (exp!)
mekso 4-nary operator: spherical harmonics on colatitudinal/polar angle a and azimuthal/longitudinal angle b of unassociated order c and associated order d.
ma'au (exp!)
Binary mekso operator: uniform probability A(X2)u(X for input (X1,X where X1 is a number and X2 is a set or space. (See notes for details).
te'i'ai (exp!)
6-ary mekso/mathematical operator: Heaviside function/step/Theta function of a, of order b, in structure c, using distribution d, within approximated limit e, with value f_b at 0
cia'o'e
mekso 4-nary operator: spherical harmonics on colatitudinal/polar angle a and azimuthal/longitudinal angle b of unassociated order c and associated order d.