Cycloid Cycloid A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve. The cycloid, with the cusps pointing upward, is the curve of fastest descent under constant gravity, and is also the form of a curve for which the period of an object in descent on the curve does not depend on the object's starting position. The cycloid has been
Elliptic curve point multiplication Elliptic curve point multiplication Elliptic curve point multiplication is the operation of successively adding a point along an elliptic curve to itself repeatedly. It is used in elliptic curve cryptography (ECC) as a means of producing a one-way function. The literature presents this operation as scalar multiplication, thus the most common name is elliptic curve scalar multiplication, as written in Hessian form of an elliptic curve. Given a curve, "E", defined along some equation in a finite field (such as "E": ), point multiplication is defined as the repeated addition of a point along that curve. Denote as for some