Some examples and use cases from the internet:

Some examples and use cases from the internet:

• ordering on is, by definition, given by the
• ordering on an ordinal is, by definition, given by the
• relation, right?. (Discuss) ...
• the Lie bracket is, by definition, given by the commutator of the two operators: [\ operatorname{ad}_x,\operatorname{ad}_y]= where ? denotes composition of ...
• relation. Therefore, , as desired ...
• Oct 29, 2014 ... From Ordinal is Transitive, it follows that . Also, because the strict well
• Dec 5, 2015 ... ... deletion for the following reason: What's this for? The strict well
• ... past light cone. This expression allows us to calculate z for any given spacetime geometry. Similarly, the observer area distance r0 is, by definition, given by ...

• Color Guard or Marching Band is not a sport by the definition given by the Office of Civil Rights for a Sport. Marching band receives a grade and .5 credit for ...
• .
• by the definition given by internal norm theorists to the concept of "value. " If value connotes future expectancy of success, then the theories are commensurate.
• By the definition given by J. Eells and J.H. Sampson in [ES], a map ? from a compact Riemannian manifold (M,g) to another Riemannian manifold (M,g) is har
• Sep 22, 2015 ... ... to "support and defend" it, giving "aid and comfort" to it's "domestic enemies," committing treason by the definition given by the Constitution.