nilsoliton

As nouns the difference between terms and nilsoliton

is that terms is while nilsoliton is (mathematics) a certain type of left-invariant metric on a nilpotent lie group.

In mathematics|lang=en terms the difference between nilpotent and nilsoliton

is that nilpotent is (mathematics) describing an element of a ring, for which there exists some positive integer n such that xⁿ = 0 while nilsoliton is (mathematics) a certain type of left-invariant metric on a nilpotent lie group.

As an adjective nilpotent

is (mathematics) describing an element of a ring, for which there exists some positive integer n such that xⁿ = 0.

As a noun nilsoliton is

(mathematics) a certain type of left-invariant metric on a nilpotent lie group.

In mathematics|lang=en terms the difference between metric and nilsoliton

is that metric is (mathematics) a measurement of the "distance" between two points in some metric space: it is a real-valued function d''(''x'',''y'') between points ''x'' and ''y satisfying the following properties: (1) "positive definiteness": $d(x,y)\; \backslash ge\; 0$ and $d(x,y)\; =\; 0\; \backslash mbox\{\; iff\; \}\; x=y$, (2) "symmetry": $d(x,y)\; =\; d(y,x)$, and (3) "triangle inequality": $d(x,y)\; \backslash le\; d(x,z)\; +\; d(z,y)$ while nilsoliton is (mathematics) a certain type of left-invariant metric on a nilpotent lie group.

As nouns the difference between metric and nilsoliton

is that metric is a measure for something; a means of deriving a quantitative measurement or approximation for otherwise qualitative phenomena (especially used in software engineering) while nilsoliton is (mathematics) a certain type of left-invariant metric on a nilpotent lie group.

As an adjective metric

is of or relating to the metric system of measurement.

As a verb metric

is to measure or analyse statistical data concerning the quality or effectiveness of a process.