A new algorithm for the solution of laminar viscous-inviscid interactions allowing for the formation of pronounced separation zones is presented. It is then applied to two different types of flows: near critical two layer fluid flow and subsonic flow past an expansion ramp. In the first case ...
A numerical method for computing stable control signals for system with bounded input disturbance is developed. The algorithm is an elaboration of the gradient technique and variable metric method for computing control variables in linear and non-linear optimization problems. This method is developed ...
whereandare compact fractal subsets of—more precisely, the attractors of iterated function systems (IFSs) satisfying the open set condition (OSC) (see Section2.2)—andandare “invariant” (also known as “balanced” or “self-similar”) measures onandrespectively (see Section2.5). A special c...
ICZT algorithm. Runs in O(n log n) time. Full size image Farey sequences and ICZT singularities This section proves that the singularities of the ICZT on the unit circle are related to the elements of the Farey sequence of order n − 1, where n is the size of the transform. Defin...
The cost of producing the solution, however, depends on the specific algorithm (out of many)/computer program used for the solution. It can be seen that error-free solution of a problem involving a continuous quantity (say, milk) is impossible since the inputs themselves are always in error...
Network construction and forward algorithm design based on Dropout technique According to the introduction of geometric principle in “Geometry principle and calculation methods of step error”, the step error value is determined by a specific unknown point on the CC curve. The points in \(\left\...
Usediffor a custom algorithm to compute multiple numerical derivatives, rather than callinggradientmultiple times. Algorithms gradientcalculates thecentral differencefor interior data points. For example, consider a matrix with unit-spaced data,A, that has horizontal gradientG = gradient(A). The interio...
Standardization is a common go-to scaling method for machine learning preprocessing and in my experience is used more than min-max scaling. However, it depends on the learning algorithm. For example, principal component analysis often works better using standardization, while min-max scaling is ofte...
We introduce a DNA encoding method to represent numerical values and a biased molecular algorithm based on the thermodynamic properties of DNA. DNA strands are designed to encode real values by variation of their melting temperatures. The thermodynamic properties of DNA are used for effective local ...
It is generally considered that the temporal resolution of the VISAR technique depends on the temporal resolution of the conventional algorithm (equal to the etalon delay time, which is usually on the order of hundreds of picoseconds), the response time of the signal transmission system, and the...