Examples of 'continuous function' in a sentence

Meaning of "continuous function"

A continuous function is a mathematical function that has no sudden jumps or breaks in its graph. It means that the function can be drawn without lifting a pen from the paper. It smoothly varies between its values, without any abrupt changes or discontinuities in the graph
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  • a function whose value at any point in its domain is equal its limit at the same point
  • a function from one topological space to another, such that the inverse image of any open set is open

How to use "continuous function" in a sentence

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continuous function
Let ƒ be a continuous function on the real line.
It approximates factorials with essentially a continuous function.
Every continuous function is bounded on such space.
So they do not give us a continuous function definition.
Any continuous function is almost uniformly continuous.
Atr then becomes a continuous function of time.
The continuous function for enjoyment.
So let f be such arbitrary bounded continuous function.
Any absolutely continuous function is uniformly continuous.
Consequence of the definition of a continuous function.
In practice a continuous function can be approximated by polynomials.
Each of the state variables is continuous function of time.
If f is a continuous function on an open interval containing the closed.
This is because a movement is a continuous function of time in space.
Every continuous function is uniformly continuous.

See also

The function represented by the graph is a continuous function.
Prove that every continuous function is integrable.
A continuous function is injective if and only if it is strictly monotonic.
Hence every odd continuous function has a zero.
That makes sense because this is a continuous function.
Temperature is a continuous function of the zone temperature.
The abrupt transition in ϑ need not be a continuous function.
The norm is a continuous function on its vector space.
The relationship may be a continuous function.
The concept of a continuous function can likewise be generalized.
The transition of the adjustment amount is a continuous function.
Let be a continuous function such that.
They are described by a continuous function.
Reconstructing a continuous function from samples is done by interpolation algorithms.
The analytic pdf is a continuous function.
Let f be a continuous function except at a point.
This also shows that a vector norm is a continuous function.
Must be a continuous function of the time.
Analog indicates something that is mathematically represented by a continuous function.
If is a continuous function then there exists such that.
Let be a positive continuous function on.
Any continuous function has an antiderivative.
Let with f a continuous function.
A continuous function with a continuous inverse function is called a homeomorphism.
Is just the maximum of a continuous function defined on a compact set.
Continuous function which has no.
Now we want to define a continuous function with no fixed point.
A continuous function of the form.
Magnitude is coded by intensity via a strictly monotonic continuous function.
The image of a continuous function over an interval is itself an interval.
This shows the volume of a ball in x dimensions as a continuous function of x.
Said continuous function is sinusoidal.
Let on the segment is set to an integral and continuous function.
For any continuous function.
It may be interesting in practice to approach the granulometry by a continuous function.

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Examples of using Function
He could not function any other way
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