Additional examples are adjusted to the entries in an automated way - we cannot guarantee that they are correct.
However, these numbers are not known to be expressible by themselves in terms of elementary functions.
Now since must be expressible as a function of we have using the summation convention.
Thus is expressible as the product of two symmetric matrices.
I wish-' Before she could find an expressible desire, he interrupted.
She always carried everything she has to say to its conceivable and expressible end.
Key variables such as the quality of staff at any level and the current morale are only expressible in general verbal descriptive terms.
Used to refer to any task that should be expressible as an algorithm in theory, but isn't.
The generalized selection is expressible with other basic algebraic operations.
The prevailing attitude is expressible as a wicked chuckle (1:30).
It was also claimed there are no other odd numbers less than 20,000 which are not expressible in the above said form.
The equality is expressible as a pair of inequalities and .
All roots are real and expressible by real radicals.
The curvature is then expressible purely in terms of the metric and its derivatives.
Sometimes though that requirement is dropped to create total durations not exactly expressible in the duple system.
An academic journal's prestige is established over time, and can reflect many factors, some but not all of which are expressible quantitatively.
Kinetic energy is expressible as one-half the product of the mass and the second power of the velocity.
The parameters should be expressible in terms of the critical properties and the acentric factor.
That is, all facts related to the process of understanding must be expressible in terms of natural facts.
In order to be proven, a theorem must be expressible as a precise, formal statement.
(The linear order chosen is of little consequence, provided it is expressible in the language.
"The Tao is not expressible in words."
This sampling mode is not expressible in J:a:b notation. '
This function is expressible as a linear combination of the eigenstates of any observable.
Conversely the inequality is expressible as the equality , or as .
In the general case, constraint problems can be much harder, and may not be expressible in some of these simpler systems.