Sentence examples for is stated without from inspiring English sources
In the paper, equation (12) is derived for a planar surface, and it is stated without proof that this is valid for arbitrary surfaces.
It is not made by the Creek Nation or Tribe, for it is stated without contradiction that the act of 1906 has been ratified by the council of that nation.
where the right-hand side expresses a second-order equivalence relation Ψ between F and G, and is stated without use of @.
The association is stated without discussing real alternatives in this version of the manuscript.
This result is a special case of Johnson et al. (1997, equation 37.88), which is stated without proof.
Some results from algebraic geometry are stated without proof.
The results of the argument will be stated without proof.
What if a patient's limits were stated without ever considering the current context?
Theorems are stated without proof, and examples of various of the techniques are included.
With some tablets the answers are stated without any explanation, giving the impression that they were for show, a possession designed to make the owner seem an academic.
This means that theorists working on it believe the laws of nature can be stated without making any prior assumptions about the geometry of space and time.
