and computer science, functions which are Z-order, Lebesgue curve, Morton space-filling curve, Morton order or Morton code map multidimensional data to...

one of the many applications of what is known as a Z-order curve, and generally space-filling curves. Geohashes offer properties like arbitrary precision...

} is a Cantor set which allows to linearly order C {\displaystyle \mathbb {C} } similar to a Z-order curve. Since the image is disconnected, φ {\displaystyle...

Demonstration. Hilbert curve Sierpiński curve z-order (curve) List of fractals by Hausdorff dimension Moore E.H. On certain crinkly curves.– Trans. Amer. Math...

Hilbert curve Koch curve Moore curve Murray polygon Sierpiński curve Space-filling tree Spatial index Hilbert R-tree Bx-tree Z-order (curve) (Morton order) Cannon–Thurston...

correspondence between integers and pairs of integers, listed in order of their positions on a Z-order curve. The Moser–de Bruijn sequence can be used to construct...

that is, f ( z ) = p ( z ) / q ( z ) {\displaystyle f(z)=p(z)/q(z)} where p ( z ) {\displaystyle p(z)} and q ( z ) {\displaystyle q(z)} are complex polynomials...

to elliptic curves, replacing the group ( Z p ) × {\displaystyle (\mathbb {Z} _{p})^{\times }} with an elliptic curve: The Elliptic-curve Diffie–Hellman...

of integral 2×2 matrices SL(2, Z). The term modular curve can also be used to refer to the compactified modular curves X(Γ) which are compactifications...

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

logarithmic-time search, insertion, and deletion by taking advantage of Z-order curves. The Z-order curve maps each cell of the full quadtree (and hence even the compressed...

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...

approximation in Big O notation Z-order (curve), a space-filling curve Multiplicative order in modular arithmetic Order of operations Orders of magnitude...

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...

public domain. Geohash, a public domain system based on the Morton Z-order curve. Mapcode, an open-source system originally developed at TomTom. What3words...

bits of the binary representation of coordinate values to produce a Z-order (curve) for points Interleave sequence, a mathematical sequence formed by interleaving...

Elliptic-curve Diffie–Hellman (ECDH) is a key agreement protocol that allows two parties, each having an elliptic-curve public–private key pair, to establish...

A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems. The...

algorithm Wire-frame model Xiaolin Wu's line algorithm Z-buffering Z-fighting Z-order Z-order curve List of combinatorial computational geometry topics List...

either Z / 4 Z , Z / 8 Z , Z / 12 Z , Z / 2 Z × Z / 4 Z {\displaystyle \mathbb {Z} /4\mathbb {Z} ,\mathbb {Z} /8\mathbb {Z} ,\mathbb {Z} /12\mathbb {Z} ,\mathbb...

Gauss–Jordan elimination Computational complexity of matrix multiplication Z-order curve Karatsuba algorithm, for multiplying n-digit integers in O ( n log 2...

adopted base 32. Despite the name, there are no algorithmic (not use Z-order curve) or typological relationship with Geohash. It is a publicity strategy...

1\\2\\3\\4\end{bmatrix}}={\begin{bmatrix}4\\4\\1\\2\end{bmatrix}}.} Z-order curve Lawlor, Orion. "OpenGL ARB_fragment_program Quick Reference ("Cheat...

space-filling curve and applying approximate clustering based on this sequential order. One example for this is the use of a Z-order curve (also known as...

public domain. Geohash, a public domain system based on the Morton Z-order curve. What3words, a proprietary system that encodes GCS coordinates as pseudorandom...

Then consider the function C z ( y ) = ∑ k = 1 ∞ b k z k . {\displaystyle C_{z}(y)=\sum _{k=1}^{\infty }b_{k}z^{k}.} For z = 1/3, the inverse of the function...

points on a curve is infinite then some point in a finite basis must have infinite order. The number of independent basis points with infinite order is the...

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...

Space-filling curves including the Hilbert curve, Peano curve, and Sierpiński curve cover a square as the continuous image of a line segment. The Z-order curve is...

topology, the Jordan curve theorem (JCT), formulated by Camille Jordan in 1887, asserts that every Jordan curve (a plane simple closed curve) divides the plane...