In the language of differential geometry, it defines a connection and such a connection has a holonomy and a curvature.
The mimetic method presented here uses the language of differential k-forms with k-cochains as their discrete counterpart, and the relations between them in terms of the mimetic operators: reduction, reconstruction and projection.
In the language of differential geometry, the variational principle states that any freely falling test particles follow a certain path between two fixed points in curved spacetime which extremize the proper time.
Their unorthodox manner of philosophical argument, cloaked, perhaps necessarily, in the language of differential geometry, has tended to conceal or obscure conclusions about the significance of a geometrized physics that push in considerably different directions from either instrumentalism or scientific realism.
We found the language of differential geometry and Lie algebra (Olver 1993) to be especially suitable for developing such a mathematical framework.
These differences likely reflect adults' greater language repertoire, differential cognitive demands and strategies during word retrieval and production as well as developmental changes in brain structure.
Here, focusingmainly on the first three questions, we illustrate how the language of differential geometry and Lie algebra is particularly suitable for addressing these issues.
Because expressions like this were rare in the student response corpora, and did not contain explicit language about differential survival, the scoring models failed to detect them.
These investigations must consider the possibility of inter-ethnic biases in the measurement of mental health problems in different groups, including issues of language or differential psychometric properties of measurement tools.
Longer-term acculturation problems include, for example continued loss of social status, continued inability to speak English or French (the official languages) and differential rates of acculturation within families [ 15].
