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The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables r {\displaystyle r} is the radius, C = 2 π r {\displaystyle C=2\pi r} is the circumference (the length of any one of its great circles ),
Math Blaster for 1st Grade is a 1999 educational video game in a line of educational products originally created by Davidson & Associates and continued by Knowledge Adventure. The game was re-released in 2000 as Math Blaster Mission 2 .
Geometry (from Ancient Greek γεωμετρία (geōmetría) ' land measurement '; from γῆ (gê) ' earth, land ' and μέτρον (métron) ' a measure ') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]
The last three books of Euclid's Elements, written in around 300 BCE, detailed the exact formulas for calculating the volume of parallelepipeds, cones, pyramids, cylinders, and spheres. The formula were determined by prior mathematicians by using a primitive form of integration, by breaking the shapes into smaller and simpler pieces.
The same formula holds for any three-dimensional objects, except that each should be the volume of , rather than its area. It also holds for any subset of R d , {\displaystyle \mathbb {R} ^{d},} for any dimension d , {\displaystyle d,} with the areas replaced by the d {\displaystyle d} -dimensional measures of the parts.
The classical finite-difference approximations for numerical differentiation are ill-conditioned. However, if is a holomorphic function, real-valued on the real line, which can be evaluated at points in the complex plane near , then there are stable methods.
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