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From Lojban to English :
Word: be'ei'oi [jbovlaste]
Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD)
Gloss Word: Bergelson multiplicative interval
selma'o: VUhU
Definition: ternary mekso operator: x1th Bergelson multiplicative interval
with exponents bounded from above by function x2 and with
sequence of shifts x3, where exponents belong to set x4
Notes: x1 must be a positive integer. x2 must be a strictly monotonic
increasing function mapping from all of the positive integers
to a subset (not necessarily proper) thereof. x3 must be a
sequence of natural numbers. x2 without context will default to
the same value as x1 (it is simple linear on the set of
positive integers), x3 without context will be a sequence all
and only of 1's, x4 without context defaults to the set of all
non-negative integers. Let p_i be a prime for all i, with p_1 =
2 and the ith prime (in the normal monotonic increasing order)
being p_i. Let all other symbols match the aforementioned
conditions. Represent the nth term of the sequence x3 by x3_n;
represent the function in x2 being applied to the number m by
x2(m). Then x1 be'ei'oi x2 boi x3 boi x4 produces the set of
all numbers of the form x3_(x1) * (p_1)^(e_1) *...*
(p_(x1))^(e_(x1)), where e_j belongs to the intersection of the
interval [0, x2(x1)] with x4.