Curvature of a Plane Curve Definition: If T is the unit vector of a smooth curve, the curvature function of the curve is κ=|dTds|. 曲率的意义是曲线扭曲的程度,如图,直线“不曲”,因此曲率为0. 曲率越大,曲线就越弯。 曲率的计算方法:一般情况下,用定义是不方便计算 κ 的值的,所以我们找一...
For a general consideration, the cosmological constant is assumed to be a function of scale factor and Hubble constant. According to the ADM formulation, to the FRW metric, the extrinsic curvature $I$ equals $-6H^{2}$ and spatial curvature $R$ equals $6k/a^{2}$. Therefore we suppose ...
So we need curvature, defined in Calculus, and is a function of position on the curve, which can be summarized as k(t)=|\gamma^{''}(t)|, where k(t) is the curvature of a plane curve \gamma. It also means the length of the acceleration vector, when \gamma is given a unit-spe...
anequalityforthecurvaturefunctionofasimpleand 系统标签: curvatureequalitycurveclosedplanefunction IJMMS2003:49,3115–3122 PII.S0161171203210371 http://ijmms.hindawi ©HindawiPublishingCorp. ANEQUALITYFORTHECURVATUREFUNCTION OFASIMPLEANDCLOSEDCURVE ONTHEPLANE BIAOOU Received22October2002 Weproveanequalityforthecu...
The Curvature function displays the shape or curvature of the slope. A part of a surface can be concave or convex; you can tell that by looking at the curvature value. The curvature is calculated by computing the second derivative of the surface. The output of the Curvature function can be...
1 地球是圆的 历史上很长的时间，人们都觉得地球是平的：不过如果在海边，还是容易发现地球其实不是平...
When individuals choose among risky alternatives, the psychological weight attached to an outcome may not correspond to the probability of that outcome. In rank-dependent utility theories, including prospect theory, the probability weighting function permits probabilities to be weighted nonlinearly. Previous...
curvature - the rate of change (at a point) of the angle between a curve and a tangent to the curve derivative, derived function, differential, differential coefficient, first derivative - the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df...
,Flynn-Smith,Jennifer,A.摘要: Herzog and Miller (1998) reported that people judged alleys with sharper curves as less dangerous than straighter alleys. The authors investigated the role of perceived alley length as a possible confounding influence. Raters judged a large sample of urban alleys for...
(1) Show that the function x/lnx is increasing for x>c; (2) Corroborate the stated number of digits for M 2976221 ; (3) Show that a Mersenne prime is a (4k+3) prime. In summary, learning from this book might be a worthwhile experience for students of above-average skill and ...