Search results
Results From The WOW.Com Content Network
A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...
Notations expressing that f is a functional square root of g are f = g [1/2] and f = g 1/2 [citation needed] [dubious – discuss], or rather f = g 1/2 (see Iterated function#Fractional_iterates_and_flows,_and_negative_iterates), although this leaves the usual ambiguity with taking the function to that power in the multiplicative sense, just as f ² = f ∘ f can be misinterpreted as x ↦ f(x)².
Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, d n , between points. [ 1 ]
For example, one sphere that is described in Cartesian coordinates with the equation x 2 + y 2 + z 2 = c 2 can be described in spherical coordinates by the simple equation r = c. (In this system—shown here in the mathematics convention—the sphere is adapted as a unit sphere, where the radius is set to unity and then can generally be ignored ...
The octahedral -sphere is a square (without its interior). The octahedral 2 {\displaystyle 2} -sphere is a regular octahedron ; hence the name. The octahedral n {\displaystyle n} -sphere is the topological join of n + 1 {\displaystyle n+1} pairs of isolated points. [ 9 ]
The E 8 lattice is a discrete subgroup of R 8 of full rank (i.e. it spans all of R 8).It can be given explicitly by the set of points Γ 8 ⊂ R 8 such that . all the coordinates are integers or all the coordinates are half-integers (a mixture of integers and half-integers is not allowed), and
It's the first time the public is able to have a say on what appears on The Sphere and the first time members of the public have created art for it. Dream big! More than 100 children vie for ...
[3] Similarly, in the combustion chamber of a rocket engine , the characteristic length L ∗ {\displaystyle L^{*}} is defined as the chamber volume divided by the throat area. [ 4 ] Because the throat of a de Laval nozzle is smaller than the cross section of the combustion chamber, the characteristic length is greater than the physical length ...