Continuous functions f and g are said to be homotopic if and only if there is a homotopy H taking f to g as described above. Being homotopic is an equivalence relation on the set of all continuous functions from X to Y. This homotopy relation is compatible with function composition in the following sense: if f1, g1 : X → Y are homotopic, and f2, g2 : Y → Z are homotopic, then their compositions f2 ∘ f1 and g2 ∘ g1 : X → Z are also homotopic.
Other articles related to "properties":
0.06 0.004 0.003 0.0015 0.035 - - - - Zamak 5 properties Property Metric value English value Mechanical properties Ultimate tensile strength 331 MPa (270 ...
0.3 0.04 - - - - - - - - max 4.2 0.4 0.05 0.003 0.002 0.001 0.02 0.001 0.02 0.0005 0.001 Zamak 4 properties Property Metric value English value Mechanical ...
... Further information Mineral physics The physical properties of minerals must be understood to infer the composition of the Earth's interior from seismology, the geothermal gradient and other sources of information ... Mineral physicists study the elastic properties of minerals their high-pressure phase diagrams, melting points and equations of state at high pressure and the rheological ... Water is a very complex substance and its unique properties are essential for life ...
Famous quotes containing the word properties:
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (16321704)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (18031882)