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Three Wnt signaling pathways have been characterized: the canonical Wnt pathway, the noncanonical planar cell polarity pathway, and the noncanonical Wnt/calcium pathway. All three pathways are activated by the binding of a Wnt-protein ligand to a Frizzled family receptor , which passes the biological signal to the Dishevelled protein inside the ...
Canonical ensemble, in statistical mechanics, is a statistical ensemble representing a probability distribution of microscopic states of the system; Canonical quantum gravity, an attempt to quantize the canonical formulation of general relativity; Canonical stress–energy tensor, a conserved current associated with translations through space ...
A common application of canonical SMILES is indexing and ensuring uniqueness of molecules in a database. The original paper that described the CANGEN [ 2 ] algorithm claimed to generate unique SMILES strings for graphs representing molecules, but the algorithm fails for a number of simple cases (e.g. cuneane , 1,2-dicyclopropylethane) and ...
Canonical forms are generally used to make operating with equivalence classes more effective. For example, in modular arithmetic, the canonical form for a residue class is usually taken as the least non-negative integer in it. Operations on classes are carried out by combining these representatives, and then reducing the result to its least non ...
In morphology and lexicography, a lemma (pl.: lemmas or lemmata) is the canonical form, [1] dictionary form, or citation form of a set of word forms. [2] In English, for example, break, breaks, broke, broken and breaking are forms of the same lexeme, with break as the lemma by which they are indexed.
After Disney's acquisition of the franchise, Lucasfilm designated all Expanded Universe material published before 25 April 2014 (other than the first six theatrical films and the 2008 The Clone Wars film and TV series) as the non-canonical "Legends" continuity. Material released since this announcement is a separate canonical timeline from the ...
Canonical coordinates are defined as a special set of coordinates on the cotangent bundle of a manifold.They are usually written as a set of (,) or (,) with the x ' s or q ' s denoting the coordinates on the underlying manifold and the p ' s denoting the conjugate momentum, which are 1-forms in the cotangent bundle at point q in the manifold.
The De Morgan dual is the canonical conjunctive normal form , maxterm canonical form, or Product of Sums (PoS or POS) which is a conjunction (AND) of maxterms. These forms can be useful for the simplification of Boolean functions, which is of great importance in the optimization of Boolean formulas in general and digital circuits in particular.