Z curve information

The Z curve (or Z-curve) method is a bioinformatics algorithm for genome analysis. The Z-curve is a three-dimensional curve that constitutes a unique...

mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over...

the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic-curve cryptography...

variables P(x, y, z). Every affine algebraic curve of equation p(x, y) = 0 may be completed into the projective curve of equation h p ( x , y , z ) = 0 , {\displaystyle...

dragon curves back to back. It is also the limit set of the following iterated function system: f1(z)=(1+i)z2{\displaystyle f_{1}(z)={\frac {(1+i)z}{2}}}...

A receiver operating characteristic curve, or ROC curve, is a graphical plot that illustrates the performance of a binary classifier model (can be used...

value corresponds to the origin of replication. The final approach is the Z curve. Unlike the previous methods, this method do not uses the sliding window...

smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. Plane curves also include the Jordan curves (curves that enclose...

(or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point. Leibniz defined...

the field carved out by a particular curve. This can be visualized as the surface created by z = f(x,y) and a curve C in the xy plane. The line integral...

and statistics, kurtosis (from Greek: κυρτός, kyrtos or kurtos, meaning "curved, arching") is a measure of the "tailedness" of the probability distribution...

Jordan curve theorem asserts that every Jordan curve (a plane simple closed curve) divides the plane into an "interior" region bounded by the curve and an...

curve in three dimensions given in Cartesian coordinates by γ(t) = (x(t), y(t), z(t)), the curvature is κ = ( z ″ y ′ − y ″ z ′ ) ′ 2 + ( x ″ z ′ − z...

algebraic geometry, the twisted Edwards curves are plane models of elliptic curves, a generalisation of Edwards curves introduced by Bernstein, Birkner, Joye...

projective point (X:Y:Z){\displaystyle (X:Y:Z)} corresponds to the affine point (X/Z:Y/Z){\displaystyle (X/Z:Y/Z)} on the Edwards curve. The identity element...

mathematical function whose graph has a characteristic S-shaped curve or sigmoid curve. A common example of a sigmoid function is the logistic function...

spherical curves. Example sphere – cylinder The intersection of the sphere with equation x 2 + y 2 + z 2 = r 2 {\displaystyle \;x^{2}+y^{2}+z^{2}=r^{2}\;}...

mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), or curve of fastest descent, is the one...

the points that make up a geometric object such as a curve or surface, called a parametric curve and parametric surface, respectively. In such cases,...

In the differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the osculating plane. Taken...

The Phillips curve is an economic model, named after Bill Phillips, that correlates reduced unemployment with increasing wages in an economy. While Phillips...

The Hilbert curve (also known as the Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician...

In mathematics, the Montgomery curve is a form of elliptic curve introduced by Peter L. Montgomery in 1987, different from the usual Weierstrass form...