Примери коришћења Continuous function на Енглеском и њихови преводи на Српски
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Then g is a continuous function.
A continuous function on a closed.
Therefore, g is a continuous function.
Continuous Function on closed interval.
Subsequently, the sinc functions are summed into a continuous function.
Reconstructing a continuous function from samples is done by interpolation algorithms.
Then the meaning of this program-in-typing-context must be a continuous function〚Γ⊢P: σ〛:〚Γ〛→〚σ〛.
Roughly speaking, a continuous function is one whose graph can be drawn without lifting the pen.
This will be close to the correct value because sine is a continuous function with a bounded rate of change.
Very roughly speaking, a continuous function is one whose graph can be drawn without lifting your pen from the paper.
The stress distribution in the body is expressed as a piecewise continuous function of space and time.
This theorem states that a continuous function that produces two values m and n also produces any value that lies between m and n.
Karl Weierstrass began to construct functions that stretched intuition,such as nowhere-differentiable continuous functions.
The discrete-frequency nature of DTFT{xN}"selects" only discrete values from the continuous function DTFT{y}, which results in considerable simplification of the inverse transform.
Mathematicians such as Karl Weierstrass began to construct functions that stretched intuition,such as nowhere-differentiable continuous functions.
In the 1970s, Dana Scott showed that, if only continuous functions were considered, a set or domain D with the required property could be found, thus providing a model for the lambda calculus.
The classic universal approximation theorem concerns the capacity of feedforward neural networks with a single hidden layer of finite size to approximate continuous functions.
Under certain theoretical conditions, described by the sampling theorem,the original continuous function can be recovered perfectly from the DTFT and thus from the original discrete samples.
The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calculated via the discrete Fourier transform(DFT)(see§ Sampling the DTFT), which is by far the most common method of modern Fourier analysis.
These are like totalistic cellular automata, but instead of the rule and states being discrete(e.g. a table,using states{0,1,2}), continuous functions are used, and the states become continuous(usually values in).
Intuitively we expect that when one reduces a continuous function to a discrete sequence and interpolates back to a continuous function, the fidelity of the result depends on the density(or sample rate) of the original samples.
This case arises in the context of Window function design, out of a desire for real-valued DFT coefficients.[11] When a symmetric sequence is associated with the indices[-M≤ n≤ M], known as a finiteFourier transform data window, its DTFT, a continuous function of frequency( f),{\displaystyle(f),} is real-valued.
In topology, two continuous functions from one topological space to another are called homotopic if one can be"continuously deformed" into the other, such a deformation being called a homotopy between the two functions. .
It may be the case that conditions from mathematical analysis should be applied; for example, in the case of the Cauchy equation mentioned above,the solutions that are continuous functions are the'reasonable' ones, while other solutions that are not likely to have practical application can be constructed(by using a Hamel basis for the real numbers as vector space over the rational numbers).
In topology, two continuous functions from one topological space to another are called homotopic(Greek ὁμός(homós)= same, similar, and τόπος(tópos)= place) if one can be"continuously deformed" into the other, such a deformation being called a homotopy between the two functions. .
Both terms are used by various authors to describe the entire process, which includes lowpass filtering, or just the part of the process that does not include filtering.[1]When downsampling(decimation) is performed on a sequence of samples of a signal or other continuous function, it produces an approximation of the sequence that would have been obtained by sampling the signal at a lower rate(or density, as in the case of a photograph).
For example, in the case of the Cauchy equation mentioned above,the solutions that are continuous functions are the'reasonable' ones, while other solutions that are not likely to have practical application can be constructed(by using a Hamel basis for the real numbers as vector space over the rational numbers).
For functions that vary with time,let s(t) be a continuous function(or"signal") to be sampled, and let sampling be performed by measuring the value of the continuous function every T seconds, which is called the sampling interval or the sampling period.[1] Then the sampled function is given by the sequence.