Examples of 'monotonicity' in a sentence
Meaning of "monotonicity"
Monotonicity is a noun that describes the mathematical concept of a function that either never increases or never decreases. It is commonly used in mathematics and statistics
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- The state of being monotonic.
- Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set.
How to use "monotonicity" in a sentence
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monotonicity
Convexity and monotonicity of the trace function.
One can verify that on since its monotonicity.
Determine the monotonicity of the following sequences.
It is thus preferable to use codes having a high monotonicity.
Thus in each case monotonicity holds.
Thus monotonicity does not have to be included in the definition explicitly.
The second line is obtained by monotonicity.
The above definition of monotonicity is relevant in these cases as well.
Monotonicity and its implications.
The formal definition of monotonicity is based on the following definitions.
Monotonicity and local systems.
It is standard that local strict monotonicity suffices in one dimension.
Monotonicity allows parallelism.
There is no single straightforward generalization of polygon monotonicity to higher dimensions.
We establish a monotonicity formula and we prove a property of equipartition of energy.
See also
Maxima minima and monotonicity.
Convexity and monotonicity assumptions are playing a crucial role.
The most fundamental condition that occurs in this context is monotonicity.
The monotonicity of q implies.
This thesis focuses on two themes associated to this monotonicity hypothesis.
We exhibit monotonicity conditions under which such a subset of alternatives is computable.
Those properties enable the imposition of constraints of monotonicity on our model.
Monotonicity for all.
Due to the monotonicity of φ.
The monotonicity constraint is used to stabilize the convergence of the algorithm.
These systems allow to perform parity and code monotonicity controls.
The monotonicity constraint is imposed by first estimating the decision boundaries.
Continuity and monotonicity.
Uniqueness and monotonicity of the travelling wave are obtained using sliding techniques.
This is called monotonicity.
Double Monotonicity models are based on three assumptions.
Problem of monotonicity.
This can be seen since it has neither the translation property nor monotonicity.
Complete monotonicity of.
It is truthful because the median function satisfies the strong monotonicity property.
Double Monotonicity models are used most often.
A carleman inequality is obtained under the assumption of monotonicity on the beam speed.
Maskin monotonicity Other meanings of monotonicity in different fields.
A particular care is taken onthe preservation of symmetries and the monotonicity of the solutions.
This inequality is called Monotonicity of quantum relative entropy.
The second class of solutions has a difficulty associated with the monotonicity of the clocks.
Maskin monotonicity is a necessary condition for implementability in Nash equilibrium.
Some modifications to STV have been proposed in order to pass monotonicity and other criteria.
In mechanism design, monotonicity is a property of a social choice function.
Figure 2 shows an example of an electrochemical signal demonstrating monotonicity.
Two transitory discontinuities in the monotonicity of the Optical Power tracing are visible.
This second change ( a removal caused by an addition ) violates the condition of monotonicity.
Return to Monotonicity.
However, monotonicity is not present and we can not apply the test.
Intervals of Monotonicity.
