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The process of convolution is very useful in the time domain analysis of systems, because we can fully describe a system by its [[w:Impulse_response|impulse ==Discrete Convolution== ...

.../Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] .../Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] ...

.../Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] .../Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] ...

* Korfhage, Robert R. (1974), ''Discrete Computational Structures'', Academic Press, New York, NY. .../Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] ...

.../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]], or living organisms are characterized by relational structures and their ...he consideration of variable categories with structure instead of only the discrete topology of sets. Further details concerning mathematical, logical and comp ...

...estrictive. It turns out however that the categories of <math>(M,R)</math>-systems are "Cartesian closed'' , and may be considered in a very strict mathematic ...cation systems-- when extended to generalized, variable <math>(M,R)</math>-systems-- that were endowed with unique [[../CoIntersections/|algebraic]] and varia ...

.../Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] .../Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] ...

...r-system'' of (sub)systems, as it is the case of ''emergent super-complex systems'' or organisms). ...l property of a system is the''inter-dependence'' of parts/components/sub-systems or variables.'' ...

Hilbert spaces can only cope with number systems that are division rings. In a division ring, all non-zero members own a uni Quaternionic differential calculus describes the interaction between discrete objects and the continuum at the location where events occur. Converting th ...

...ycz">{{cite book|last1=Pedrycz|first1=Witold|title=Fuzzy control and fuzzy systems|year=1993|publisher=Research Studies Press Ltd.|edition=2}}</ref><ref name= ...ogramming.Indeed, denote by ''f'' the fuzzy function arising of an IF-THEN systems of rules. Then we can translate this system into a fuzzy program P containi ...

...ations are of increasing interest in Physics; Riccati equation and Ermakov systems enter the formalism of [[../SpaceTimeQuantizationInQuantumGravityTheories/| ===Ermakov systems=== ...

===Metabolic-Replication Systems=== ...es]] of sets, deliberately selected without any structure other than the ''discrete topology of sets'' . ...

...be difficult if the sample [[../Matrix/|matrix]] is unknown. Filter-based, discrete wavelength instruments also tend to be slow if they are not utilized in con ...stationary grating systems (which would include both diode array and AOTF systems) and [[../FourierTransforms/|Fourier transform]] NIR spectrometers. ...

Metabolic--Replication, <math>(M,R)</math>--Systems} ...ries of sets, deliberately selected without any structure other than the ''discrete topology of sets'' . He also considered biocomplexity to be an emergent, de ...

.... However, because of its simplicity, and its correct results for selected systems (see below for application), the Bohr model is still commonly taught to int ...atoms will only emit light (that is, electromagnetic radiation) at certain discrete frequencies. ...

This is only possible if the energy ''E'' takes discrete values: The energy levels are discrete because of the boundary condition (without them all the values of the energ ...

...n/|collisions]] with nuclei of atoms in their path; their energy is always discrete. *Gamma-Rays: their energy is always discrete; have many modes of interaction with matter; important interactions for nuc ...

Atoms appear to have discrete energy levels. ...e oscillators in the solid with frequency ''v'' can only absorb and emit ''discrete'' quantities of energy ''hv''. In classical physics an oscillator could exc ...

.../Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] .../Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] ...

.../Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] .../Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] ...