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In the context of proofs, this phrase is often seen in induction arguments when passing from the base case to the induction step, and similarly, in the definition of sequences whose first few terms are exhibited as examples of the formula giving every term of the sequence. necessary and sufficient
Ectoplasm (also exoplasm) is the non-granulated outer part of a cell's cytoplasm, while endoplasm is its often granulated inner layer. It is clear, and protects as well as transports things within the cell. [1] Moreover, large numbers of actin filaments frequently occur in the ectoplasm, which form an elastic support for the cell membrane. [2]
H.M. – harmonic mean. HOL – higher-order logic. Hom – Hom functor. hom – hom-class. hot – higher order term. HOTPO – half or triple plus one. hvc – havercosine function. (Also written as havercos.) hyp – hypograph of a function.
For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".
In mathematics, for a function :, the image of an input value is the single output value produced by when passed . The preimage of an output value y {\displaystyle y} is the set of input values that produce y {\displaystyle y} .
Ectoplasm (paranormal), physically sensible phenomenon claimed to be due to "energy" described as paranormal Topics referred to by the same term This disambiguation page lists articles associated with the title Ectoplasm .
Pseudopod, or “false foot” is the term for the extension of a cell's plasma membrane into what appears to be an appendage that pulls the cell forward. The process behind this involves the gel of the ectoplasm, and sol, more fluid, portion of the endoplasm. To create the pseudopod, the gel of the ectoplasm begins to convert to sol which ...
In a category with all finite limits and colimits, the image is defined as the equalizer (,) of the so-called cokernel pair (,,), which is the cocartesian of a morphism with itself over its domain, which will result in a pair of morphisms ,:, on which the equalizer is taken, i.e. the first of the following diagrams is cocartesian, and the second equalizing.