Sentence examples for dimensions are provided from inspiring English sources
Sample results for the transport of a square wave in one and two dimensions are provided.
No dimensions are provided for the metal sculpture at the heart of the installation by Lowry Burgess, Mr. Stackhouse's gallery mate.
Numerical results in one and two dimensions are provided to illustrate the good behavior of this procedure.
Benchmark numerical experiments in one dimension and two dimensions are provided to validate the performance of the method.
For both men and women, the actual percentile values (5th to 95th) of the non-normally distributed body dimensions are provided.
Finally, extensive numerical examples in both one and two dimensions are provided to verify the claimed properties in various applications.
For the Vaibhāṣikas the justification for maintaining the existence of dharmas in all three temporal dimensions is provided by their causal theory of cognition: since cognitive awareness cannot arise in the absence of an objective support, the cognition must be causally related to the object.
Numerical results for both gas gas and gas water flows in one-dimension are provided to demonstrate the characteristic behavior of this approach.
Convergence results in one spatial dimension are provided, and it is found that while the hybrid method exhibits convergence stagnation and order reduction in certain scenarios, the overall accuracy of the hybrid approximation is comparable to a standard discrete ordinates approximation in many cases.
Discrimination measures and the proportion of variance accounted for by each dimension are provided in Additional file 1: Table S1.
