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Formula Sheet Equation Editor [permanent dead link ] Yes Yes No Yes Yes Yes No No Online LaTeX equation editor with real-time .png, .pdf, and .tex output. Customizable resolution, font, and color. One click copy to MS Word 2007+ using MathML. Formulator MathML Weaver: Yes Yes No No Yes Yes No No Dual-licensing (Open source and commercial).
Since dV = dx dy dz is the volume for a rectangular differential volume element (because the volume of a rectangular prism is the product of its sides), we can interpret dV = ρ 2 sin φ dρ dφ dθ as the volume of the spherical differential volume element. Unlike rectangular differential volume element's volume, this differential volume ...
Because the volume occupies three dimensions, if the metre (m) is chosen as a unit of length, the corresponding unit of volume is the cubic metre (m 3). The cubic metre is also a SI derived unit. [16] Therefore, volume has a unit dimension of L 3. [17] The metric units of volume uses metric prefixes, strictly in powers of ten. When applying ...
The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. [1] In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem. These terms are then ...
If A is a real m×n matrix, then det(A A T) is equal to the square of the m-dimensional volume of the parallelotope spanned in R n by the m rows of A. Binet's formula states that this is equal to the sum of the squares of the volumes that arise if the parallelepiped is orthogonally projected onto the m -dimensional coordinate planes (of which ...
The generation of a bicylinder Calculating the volume of a bicylinder. A bicylinder generated by two cylinders with radius r has the volume =, and the surface area [1] [6] =.. The upper half of a bicylinder is the square case of a domical vault, a dome-shaped solid based on any convex polygon whose cross-sections are similar copies of the polygon, and analogous formulas calculating the volume ...
In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series.Generating functions are often expressed in closed form (rather than as a series), by some expression involving operations on the formal series.
The word rectangle comes from the Latin rectangulus, which is a combination of rectus (as an adjective, right, proper) and angulus . A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals [ 4 ] (therefore only two sides are parallel).