Sentence examples for mathematical principles are from inspiring English sources

For football, points are at stake instead of money, but the mathematical principles are the same.

If mathematical principles are successful, then, even if we are unable to obtain intuitive evidence for them, they may be regarded as probably true.

The expressions guarantee that simple but necessary physical and mathematical principles are met, like Hermitian symmetry for the reflection coefficient (identical behaviour of positive and negative frequencies) and causality for the impulse response.

It is distinct from drill learning in that an understanding of basic mathematical principles is necessary for effective performance [ 8].

A number of mathematical principles have been developed to demarcate what is 'significant' statistically, but no comparable principles have been established to indicate what is significant operationally in relation to public health action.

Whereas mathematical principles proper are "drawn only from intuition" and so do not constitute any part of the system of principles of pure understanding, the explanation for the possibility of such mathematical principles (outlined above) must be supplemented by an account of the highest possible transcendental principles (A148 9/B188 9).

Minimum (or minimal) principles are mathematical laws that were first used in physics: Hamilton's principle and Fermat's principle of least time are two famous example.

Using the logical system containing Basic Law V (1893/1903), he attempted to demonstrate the truth of the philosophical thesis known as logicism, i.e., the idea not only that mathematical concepts can be defined in terms of purely logical concepts but also that mathematical principles can be derived from the laws of logic alone.

The underlying principles are elucidated, relevant mathematical expressions derived and details given about corresponding implementation techniques.

And whereas imaginative thinking is associative and free-floating, rational thinking operates on the basis of linguistic, logical and mathematical principles (and is therefore more demanding and exhausting, mentally speaking).

While based on sound mathematical principles, it is well known that the method of least squares often overestimates the tolerance zone, causing good parts to be rejected.