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The fast marching method [1] is a numerical method created by James Sethian for solving boundary value problems of the Eikonal equation: | | = / () =Typically, such a problem describes the evolution of a closed surface as a function of time with speed in the normal direction at a point on the propagating surface.
Suppose that we want to solve the differential equation ′ = (,). The trapezoidal rule is given by the formula + = + ((,) + (+, +)), where = + is the step size. [1]This is an implicit method: the value + appears on both sides of the equation, and to actually calculate it, we have to solve an equation which will usually be nonlinear.
Quantitative Fluorescent in situ hybridization (Q-FISH) is a cytogenetic technique based on the traditional FISH methodology. In Q-FISH, the technique uses labelled (Cy3 or FITC) synthetic DNA mimics called peptide nucleic acid (PNA) oligonucleotides to quantify target sequences in chromosomal DNA using fluorescent microscopy and analysis software.
The application of MacCormack method to the above equation proceeds in two steps; a predictor step which is followed by a corrector step. Predictor step: In the predictor step, a "provisional" value of u {\displaystyle u} at time level n + 1 {\displaystyle n+1} (denoted by u i p {\displaystyle u_{i}^{p}} ) is estimated as follows
Let () be a signal consisting of evenly spaced samples. Prony's method fits a function ^ = = (+) to the observed ().After some manipulation utilizing Euler's formula, the following result is obtained, which allows more direct computation of terms:
A linear programming problem is one in which we wish to maximize or minimize a linear objective function of real variables over a polytope.In semidefinite programming, we instead use real-valued vectors and are allowed to take the dot product of vectors; nonnegativity constraints on real variables in LP (linear programming) are replaced by semidefiniteness constraints on matrix variables in ...
Simple computations in all individuals (i.e. fish) Various means of storing information (i.e. weights of fish and school barycenter) Local computations (i.e. swimming is composed of distinct components) Low communications between neighboring individuals (i.e. fish are to think local but also be socially aware)
It is very similar to the technique used on frogs in laboratories called spiking or pithing. Another technique [clarification needed] in APEC Air shipment of live and fresh fish and seafood guidelines is described as follows: "A cut is made toward the front of the flatfish severing the major artery and the spinal cord. Placement of the cut is ...