【#tinyCourse：＃mathematics: preferences of math specialists】Algebraists like equalities and analysts like inequalities; Algebraists like symbolic insights and geometers like pictorial insights. #mathematics #algebra #geometry #mathematical_analysis t.me/tinyCourses/92
【#微课：#数学: 各数学领域的偏好】代数学家喜欢不等式；分析学家喜欢不等式; 代数学家喜欢符号性结论；几何学家喜欢图像性结论。 #代数 #几何 #数学分析 #tinyCourse t.me/tinyCourses/93
#locus: a set of points whose locations satisfies some conditions: j.mp/2yeWWJM #tinyCourse #geometry
【#几何##微课程#：#阿基米德螺线#】Archimedean spiral，亦称“等速螺线” ，r = a + b θ j.mp/2fXGT8P， j.mp/2fXkKay #中文
..., e.g. in 3-d Euclidean space, a set of 4 points in #general_position are not on a 2-d plane j.mp/2eXmFPf
In #geometry, #general_position is a notion of genericity for a set of geometric objects, ... #tinyCourse #geometry
A #linear_transformation always maps lines to lines or to zero. j.mp/2ka3yiH #tinyCourse #geometry
#catenoid—the shape assumed by a soap film bounded by two parallel circular rings: j.mp/catenoid, j.mp/wa_catenoid
#Inequality of arithmetic and geometric means says that n-D cube has the smallest sum of all edges among n-D boxes j.mp/1JS5DGi
parametric equation of an #ellipse j.mp/19i1U8k
wolframalpha.com
parametric equation of ellipse - Wolfram|Alpha
Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.
n-dimensional volume differential in terms of spherical coordinates j.mp/ZdNYH6
a short intro to higher-dimensional #Euclidean #geometry j.mp/VW2bXb
#Cube, rectangular #cuboid, and #rhombohedron are all specific cases of #parallelepiped.
n-dimensional sphere S^n with radius r has most of its mass near a n-dimensional annulus near boundary of S^n whose width is O(1-r/d).
Among unit spheres in all dimensions, S^7 has the largest surface area, and S^5 has the largest volume. j.mp/VMeJQA
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