Results 211 to 220 of about 237,242 (260)
PACT: A practice-driven predictive algorithm for customized transradial prosthetic socket design. [PDF]
PLoS OnePendse V +4 more
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Interpretable machine learning for predicting rating curve parameters using channel geometry and hydrological attributes across the United States. [PDF]
Sci RepBaruah A +4 more
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1994
Abstract It will be noted that the ratio of the (essentially positive) Euclidean distances only gives the absolute value of the invariant (δac/δab). It is this fact which gives rise to some tiresome technical difficulties in classical Euclidean geometry, which relies principally on the notion of distance.
Peter M Neumann +2 more
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Abstract It will be noted that the ratio of the (essentially positive) Euclidean distances only gives the absolute value of the invariant (δac/δab). It is this fact which gives rise to some tiresome technical difficulties in classical Euclidean geometry, which relies principally on the notion of distance.
Peter M Neumann +2 more
+4 more sources
2006
Abstract Euclidean geometry was the first branch of mathematics to be treated in anything like the modern fashion (with postulates, definitions, theorems, and so forth); and even now geometry is conducted in a very logical, tightly knit fashion.
Valerio Scarani, Rachael Thew
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Abstract Euclidean geometry was the first branch of mathematics to be treated in anything like the modern fashion (with postulates, definitions, theorems, and so forth); and even now geometry is conducted in a very logical, tightly knit fashion.
Valerio Scarani, Rachael Thew
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1993
Abstract Let S be an affine space. We saw in the last chapter that if we also assume that S has the extra structure of an absolute distance |AB| between two points A and B, then it is possible to define a dot product u • v between any two vectors u and V in S.
H. S. M. Coxeter, George Beck
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Abstract Let S be an affine space. We saw in the last chapter that if we also assume that S has the extra structure of an absolute distance |AB| between two points A and B, then it is possible to define a dot product u • v between any two vectors u and V in S.
H. S. M. Coxeter, George Beck
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1989
Surprisingly, the geometry of curved surfaces throws light on the geometry of the plane. More than 2000 years after Euclid formulated axioms for plane geometry, differential geometry showed that the parallel axiom does not follow from the other axioms of Euclid.
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Surprisingly, the geometry of curved surfaces throws light on the geometry of the plane. More than 2000 years after Euclid formulated axioms for plane geometry, differential geometry showed that the parallel axiom does not follow from the other axioms of Euclid.
openaire +1 more source
Foundations of geometry—Euclidean and non-Euclidean geometry
1975Euclidean geometry is the oldest and historically most important example of a deductive scientific discipline. Down to modern times it has been a model of an exact science and it became the starting point for a systematic development of the foundations of geometry.
W. Gellert +4 more
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