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...

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...

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...

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

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...

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

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...

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...

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...

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...

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...

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...

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

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...

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...

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...

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

reflections) is the direct product S 5 × Z 2 {\displaystyle S_{5}\times \mathbb {Z} _{2}} , which has order 240. Bring's curve can be obtained as a Riemann surface...

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...

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...

each curve is contained in a square with area 1 {\displaystyle 1} . Hilbert curve, first order Hilbert curves, first and second orders Hilbert curves, first...

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...

fractal von Koch curve Weierstrass function Z-order curve von Koch curve with random interval von Koch curve with random orientation polymer shapes diffusion-limited...