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A pyramid with a heptagonal base. The heptagonal pyramid is one of the 257 convex octahedra.

A limb of a tree at a vertex v is the union of one or more branches at v in the tree. v is then called the base of the limb.

The curve b(u) in the ruled surface parameterization x(u,v)=b(u)+vd(u) is called the directrix (or base curve).

The sequency k of a Walsh function is defined as half the number of zero crossings in the time base.

A square prism is prism with square base and is therefore a special case of a cuboid.

The space E of a fiber bundle given by the map f:E->B, where B is the base space of the fiber bundle.

A bundle or fiber bundle is trivial if it is isomorphic to the cross product of the base space and a fiber.

The logarithm log_bx for a base b and a number x is defined to be the inverse function of taking b to the power x, i.e., b^x. Therefore, for any x and b, x=log_b(b^x), (1) or ...

A digit sum s_b(n) is a sum of the base-b digits of n, which can be implemented in the Wolfram Language as DigitSum[n_, b_:10] := Total[IntegerDigits[n, b]]The following ...

A dipyramid having a hexagonal base. The volume of a hexagonal pyramid having a regular hexagon with side length a as a base and of half-height h is therefore V=sqrt(3)a^2h. ...