Rel vs Rem - What's the difference?

rel | rem |

As a preposition rel

is (mathematics) relative to.

As a noun rem is

obstacle.

rel

English

Preposition

(English prepositions)

(mathematics) Relative to.

* 1994 , N[ikita] Netsvetaev, "Diffeomorphism Criteria for Simply Connected Even-Dimensional Manifolds", in, Oleg Viro, editor, Topology of Manifolds and Varieties , Advances in Soviet Mathematics [series] 18, [publisher], ISBN 0821841246, page 237,

Since $M_0$ and $M_1$ are cobordant rel boundary and $f_0, f_1$ are n -connected, the number $\delta:=\frac12(\mathrm{rk} H_nM_0-\mathrm{rk}H_nM_1)$ is a nonnnegative integer.

* 1997 , Paul Selick, Introduction to Homotopy Theory , Fields Institute Monographs [series], [publisher], ISBN 0821806904, page 15,

The following notations are in common use: $H:f\simeq g$ (rel A'') means that ''H'' is a homotopy rel ''A'' from ''f'' to ''g ....

* 2002 , , Algebraic Topology ], [[w:Cambridge University Press, Cambridge], ISBN 0521795400, page 355,

Then in $n\ge n'$ , there is a map $h:Z\to Z'$ such that $h, A=g$ and $gf\simeq f'h$ rel' ''A'', so the diagram above is commutative up to homotopy '''rel ''A .

Anagrams

* ----

rem

English

(rapid eye movement)

Alternative forms

* * (rare) rem

Etymology 1

From the initial letters of rapid eye movement.

Noun

(-)

rapid eye movement

Derived terms

* REM sleep

Etymology 2

Shortened from remaining.

Noun

(-)

remaining time: In music, the time remaining in a track.

Etymology 3

Shortened from remark.

Noun

(-)

(computing) A programming language statement used for documentation (in BASIC for example); also used in DOS batch files.

Etymology 4

Shortened from rare earth metal.

Noun

(-)

(chemistry) rare earth metal(s).