单词 | quartic |
例句 | As early as the sixteenth century, mathematicians were using numbers with i included—the so-called complex numbers—to solve cubic and quartic polynomials. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z No. Direct variation equations are power functions—they may be linear, quadratic, cubic, quartic, radical, etc. Algebra and Trigonometry 2015-02-13T00:00:00Z The Klein quartic can’t be fully realized in 3-dimensional space because we can’t make a model of it that has all of the possible symmetries. A Cuddly, Crocheted Klein Quartic Curve 2013-11-17T20:15:00.357Z A quartic curve has 24 inflections; it was conjectured by George Salmon, and has been verified by H. G. Zeuthen that at most eight of these are real. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z The singular surface of the general quadratic complex is the famous quartic, with sixteen nodes and sixteen singular tangent planes, first discovered by E.E. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z But when the quartic is numerical the same thing happens as in the cubic, and the algebraical solution does not in every case give the numerical one. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z Once you’ve tiled the hyperbolic plane by heptagons, you can glue 24 of them together in a certain way to create a Klein quartic surface, and that is exactly what Taimina did. A Cuddly, Crocheted Klein Quartic Curve 2013-11-17T20:15:00.357Z It’s a model of a surface called the Klein quartic. A Cuddly, Crocheted Klein Quartic Curve 2013-11-17T20:15:00.357Z A curve of the third order is called a cubic; one of the fourth order a quartic; and so on. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z The first class is equivalent to a quartic in four dimensions and is always rational, but the latter class has to be subdivided into the elliptic and the rational, just like twisted quartic curves. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z For a quartic the formulae present themselves in a somewhat different form, by reason that 4 is not a prime number. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z We may further consider the inflections and double tangents, as well in general as in regard to cubic and quartic curves. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z The Klein quartic surface is a 2-dimensional object with 3 holes that has a lot of symmetries. A Cuddly, Crocheted Klein Quartic Curve 2013-11-17T20:15:00.357Z |
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