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Conserved signature inserts and deletions (CSIs) in protein sequences provide an important category of molecular markers for understanding phylogenetic relationships. [1] [2] CSIs, brought about by rare genetic changes, provide useful phylogenetic markers that are generally of defined size and they are flanked on both sides by conserved regions to ensure their reliability.
The time evolution of Hamilton's equations is a symplectomorphism, meaning that it conserves the symplectic 2-form. A numerical scheme is a symplectic integrator if it also conserves this 2-form. Symplectic integrators possess, as a conserved quantity, a Hamiltonian which is slightly perturbed from the original one. [1]
The marker-and-cell method is commonly used in computer graphics to discretize functions for fluid and other simulations. [1] It was developed by Francis Harlow and his collaborators at the Los Alamos National Laboratory .
Conservation form or Eulerian form refers to an arrangement of an equation or system of equations, usually representing a hyperbolic system, that emphasizes that a property represented is conserved, i.e. a type of continuity equation. The term is usually used in the context of continuum mechanics.
[7] [8] Moiety-conserved cycles will reduce the number of differential equations required to solve a system. For example, a simple cycle has only one independent variable. The other variable can be computed using the difference between the total mass and the independent variable. The set of differential equations for the two-cycle is given by:
A local conservation law is usually expressed mathematically as a continuity equation, a partial differential equation which gives a relation between the amount of the quantity and the "transport" of that quantity. It states that the amount of the conserved quantity at a point or within a volume can only change by the amount of the quantity ...
A conserved quantity is a property or value that remains constant over time in a system even when changes occur in the system. In mathematics , a conserved quantity of a dynamical system is formally defined as a function of the dependent variables , the value of which remains constant along each trajectory of the system.
In practice, the method requires large amounts of computing power or a system whose architecture is specialized for dynamic programming. The BLAST and EMBOSS suites provide basic tools for creating translated alignments (though some of these approaches take advantage of side-effects of sequence searching capabilities of the tools).