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extremal

extremal

1 9.9
Relating to the very end or edge of something, often in physics and math
  • adjective
  • /ɪkˈstriməl/
  • Specialized
translation icon : extremal
  • Figure 3 suggests that the ergoregion area is maximum for an extremal five-dimensional EMCS black hole.
  • extremal black hole
  • extremal black
  • near-extremal

And so all of those are actually like extremal points.

Examples

  • For a fixed value of spin a, compared to the rotating five-dimensional Myers-Perry black hole, the size of the shadow decreases with the charge q, whereas shadows become more distorted with an increase in charge q, and the distortion is maximal for an extremal black hole.

    Academic text (2018)
  • The extremal limits of the five-dimensional rotating charged black hole solutions are of special interest, since they encompass a two-parameter family of stationary supersymmetric black holes.

    Academic text (2018)
  • And so all of those are actually like extremal points.

  • The key point seems to be that extremal sets have a very strong tendency to be trapped in one of the sets.

    Blog text (23)
  • I was wondering if you could check if the extremal configurations are "corner-free" or not.

    Blog text (23)
  • It would also be interesting to know if there is at least one such extremal configuration for k=6.

    Blog text (23)
  • It will allow us to prove the theorem over there about the extremal numbers of bounded degree graphs.

  • The cross-section of the event horizon, static limit surface, and ergoregion for different values of q with a fixed rotation parameter a for the extremal five-dimensional EMCS black hole when the two horizons coincide.

    Academic text (2018)
  • In mathematics, an extremal point is one that cannot be improved upon by any nearby points.

  • The study of extremal cases can help scientists understand the limits of physical theories.

Synonyms

extreme
vsextremal
125 4.2

The farthest point or highest level of something

relates to a boundary or limiting case especially in math or physics

Surface Forms

extremal positive
extremaler comparative
extremalest superlative

Morphology

extremal = extreme (semi-transparent) = extreme + al

The suffix '-al' typically forms adjectives, but the specific mathematical or physical context may not be immediately clear to all learners.

Etymology

Extremal comes from the Latin extremus, meaning 'outermost' or 'end', and is related to the everyday words extreme and terminal. So an extremal thing is one at the 'edge' or limit, like a boundary case in math or physics.