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单词 fundamental region
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fundamental region
4. Mathematics. Designating a mathematical concept or expression from which others are derived, or which is otherwise considered as essential to a particular area of study. In later use frequently in the names of such concepts and expressions, as fundamental equation, fundamental group, fundamental region, etc.
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1570 J. Dee in H. Billingsley tr. Euclid Elements Geom. Math. Præf. sig. cijv Diuide the side of your Fundamentall Cube into so many æquall partes.
1669 S. Sturmy Mariners Mag. ii. 47 Therefore we will demonstrate the fundamental Diagram of the Mathematical Scale.
1797 tr. L. Euler Elements Algebra I. i. xxii. 108 Let us resume also the other fundamental equation.
1893 A. R. Forsyth Theory Functions Complex Variable 591 There is considerable freedom of choice of an initial region of reference, which may be called a fundamental region.
1945 Trans. Amer. Math. Soc. 58 292 This category Xb would be used in a functorial treatment of the fundamental group and of the homotopy groups.
1972 M. Kline Math. Thought xxxvii. 900 The invariants of interest in Riemannian geometry involve not only the fundamental quadratic form..but may also contain derivatives of the coefficients and of other functions.
2003 D. G. Zill & P. D. Shanahan First Course Complex Anal. iv. 180 The image of the fundamental region under the exponential mapping consists of the collection of all circles centered at the origin with nonzero radius.
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