英语词汇“Euclidean”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

Euclidean

/juːˈklɪdɪən

adjective

1Relating to or denoting the system of geometry based on the work of Euclid and corresponding to the geometry of ordinary experience: Euclidean geometry...

He was one of the earliest mathematicians to demonstrate that the ordinary experience of Euclidean concepts can be extended meaningfully beyond geometry into the idealised constructions of more complex abstract mathematics.
The second chapter presents a development of absolute and Euclidean geometry based on Hilbert's axioms.
A Euclidean geometry is based on false assumptions, which are called definitions, axioms, and postulates.

1.1Of such a nature that the postulates of the Euclidean system of geometry are valid: all points on a Euclidean circle are equidistant from the centre Euclidean space...

Mathematics has considered alternatives to Euclidean space since the early nineteenth century.
A hyperbolic display contains much more space than a simple Euclidean plane because the circumference and area of the circle it's mapped upon grows exponentially with the length of its radius.
The latter are mediated by DNA-loops bringing two chemically remote segments of the DNA close in Euclidean space.

Compare with non-Euclidean.

单词	Euclidean
释义	Euclidean /juːˈklɪdɪən / adjective 1Relating to or denoting the system of geometry based on the work of Euclid and corresponding to the geometry of ordinary experience: Euclidean geometry... He was one of the earliest mathematicians to demonstrate that the ordinary experience of Euclidean concepts can be extended meaningfully beyond geometry into the idealised constructions of more complex abstract mathematics. The second chapter presents a development of absolute and Euclidean geometry based on Hilbert's axioms. A Euclidean geometry is based on false assumptions, which are called definitions, axioms, and postulates. 1.1Of such a nature that the postulates of the Euclidean system of geometry are valid: all points on a Euclidean circle are equidistant from the centre Euclidean space... Mathematics has considered alternatives to Euclidean space since the early nineteenth century. A hyperbolic display contains much more space than a simple Euclidean plane because the circumference and area of the circle it's mapped upon grows exponentially with the length of its radius. The latter are mediated by DNA-loops bringing two chemically remote segments of the DNA close in Euclidean space. Compare with non-Euclidean. Rhymes ascidian, Derridean, Dravidian, enchiridion, Floridian, Gideon, Lydian, meridian, Numidian, obsidian, Pisidian, quotidian, viridian
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Euclidean

Rhymes