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END OF VIABILITY FOR A POPULATION
Functionally extinct

Functionally graded material         
  •  Functionally graded armor tile after ballistic testing (front and back)
IN MATERIALS SCIENCE
Maxel; Functionally Graded material (FGM); Functionally Graded Materials
In materials science Functionally Graded Materials (FGMs) may be characterized by the variation in composition and structure gradually over volume, resulting in corresponding changes in the properties of the material. The materials can be designed for specific function and applications.
Functional completeness         
PROPERTY OF A SET OF LOGICAL CONNECTIVES WHICH CAN EXPRESS ALL POSSIBLE TRUTH TABLES BY COMBINING MEMBERS OF THE SET
Complete set of Boolean operators; Sole sufficient operator; Adequacy (logic); Post's functional completeness theorem; Functionally complete; Sufficiently connected; Expressive adequacy; Post's criterion
In logic, a functionally complete set of logical connectives or Boolean operators is one which can be used to express all possible truth tables by combining members of the set into a Boolean expression.. ("Complete set of logical connectives")..
Urysohn and completely Hausdorff spaces         
TOPOLOGICAL SPACE, WHERE TWO POINTS EACH ARE SEPARATED BY A CONTINUOUS FUNCTION
Urysohn space; Functionally Hausdorff space; Completely Hausdorff; Completely T₂ space; Functionally Hausdorff; Functionally T₂ space; Functionally T2 space; Completely T2 space; Completely hausdorff space; Completely Hausdorff space
In topology, a discipline within mathematics, an Urysohn space, or T2½ space, is a topological space in which any two distinct points can be separated by closed neighborhoods. A completely Hausdorff space, or functionally Hausdorff space, is a topological space in which any two distinct points can be separated by a continuous function.

ويكيبيديا

Functional extinction

Functional extinction is the extinction of a species or other taxon such that:

  1. It disappears from the fossil record, or historic reports of its existence cease;
  2. The reduced population no longer plays a significant role in ecosystem function; or
  3. The population is no longer viable. There are no individuals able to reproduce, or the small population of breeding individuals will not be able to sustain itself due to inbreeding depression and genetic drift, which leads to a loss of fitness.

In plant populations, self-incompatibility mechanisms may cause related plant specimens to be incompatible, which may lead to functional extinction if an entire population becomes self-incompatible. This does not occur in larger populations.

In polygynous populations, where only a few males leave offspring, there is a much smaller reproducing population than if all viable males were considered. Furthermore, the successful males act as a genetic bottleneck, leading to more rapid genetic drift or inbreeding problems in small populations.