The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map) is the mapping (i.e...

number whose denominator is a power of 2 Dyadic transformation, an iterated transformation of the unit interval Dyadics, second-order tensors Dyad (disambiguation)...

In mathematics, specifically multilinear algebra, a dyadic or dyadic tensor is a second order tensor, written in a notation that fits in with vector algebra...

fact, be understood to correspond to the periodic orbits for the dyadic transformation. This can be explicitly demonstrated in just a few steps. Define...

expansion is discussed in greater detail in the article on the dyadic transformation. Then consider the function C z ( y ) = ∑ k = 1 ∞ b k z k . {\displaystyle...

inductively. Increment-by-one is then called the (dyadic) odometer. It is the transformation T : Ω → Ω {\displaystyle T:\Omega \to \Omega } given by...

> 0. We can exploit the relationship of the logistic map to the dyadic transformation (also known as the bit-shift map) to find cycles of any length....

Such repeating sequences correspond to periodic orbits of the dyadic transformation (for the binary digits) and the Gauss map h ( x ) = 1 / x − ⌊ 1...

transform Wavelet Chirplet Signal Haar-like feature Strömberg wavelet Dyadic transformation see p. 361 in Haar (1910). Lee, B.; Tarng, Y. S. (1999). "Application...

something different from what is now meant by a tensor. Gibbs introduced dyadics and polyadic algebra, which are also tensors in the modern sense. The contemporary...

division by 2π. Therefore, the angle is transformed according to the dyadic transformation (also known as the 2x mod 1 map). As the initial value z0 has been...

covariant transformation is a rule that specifies how certain entities, such as vectors or tensors, change under a change of basis. The transformation that...

or cycles of the equation are unstable. See also logistic map, dyadic transformation, and tent map. When solving an ordinary differential equation numerically...

\Sigma } . The transformation is a single "time-step" in the evolution of the dynamical system. One is interested in invertible transformations, so that the...

dynamics Circle map Complex quadratic polynomial Double pendulum Dyadic transformation Dynamical system simulation Hénon map Irrational rotation Kaplan–Yorke...

linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is...

parentheses.) A dyadic function has another argument, the first item of data on its left. Many symbols denote both monadic and dyadic functions, interpreted...

1 . {\displaystyle T(y)=2y{\bmod {1}}.} This map is called the dyadic transformation; for the doubly-infinite sequence of bits Ω = 2 Z , {\displaystyle...

staircase) Minkowski's question mark function Weierstrass function Dyadic transformation Weisstein, Eric W. "Blancmange Function". MathWorld. Takagi, Teiji...

relationship between different systems is described by coordinate transformations, which give formulas for the coordinates in one system in terms of...

chaotic map Duffing equation continuous real 2 5 (3 independent) Dyadic transformation discrete real 1 0 2x mod 1 map, Bernoulli map, doubling map, sawtooth...

Mathematics Coordinate system Differential geometry Dyadic algebra Euclidean geometry Exterior calculus Multilinear algebra Tensor algebra Tensor calculus...

{\displaystyle \{\psi _{jk}:\,j,\,k\,\in \,\mathbb {Z} \}} by means of dyadic translations and dilations of ψ {\displaystyle \psi \,} , ψ j k ( x ) =...

Baker's map Complex quadratic map Coupled map lattice Duffing map Dyadic transformation Dynamical billiards outer Exponential map Gauss map Gingerbreadman...

z=r\left({\frac {1}{2}}-x\right).} There is semi-conjugacy between the dyadic transformation (the doubling map) and the quadratic polynomial case of c = –2....

entropy of zero. The dyadic odometer can be understood as an interval exchange transformation of a countable number of intervals. The dyadic odometer is most...

a supersingular prime. One important subset of the modular group is the dyadic monoid, which is the monoid of all strings of the form STn1STn2STn3... for...

for all dyadic cubes Q {\displaystyle Q} and R {\displaystyle R} adjacent in the sense described above and f {\displaystyle f} is in dyadic BMO {\displaystyle...

rotoreflection symmetry (a combination of a rotation and a reflection). A dyadic relation R = S × S is symmetric if for all elements a, b in S, whenever...

a and the row vector representation of b gives the components of their dyadic product, a ⊗ b = a b ⊺ = [ a 1 a 2 a 3 ] [ b 1 b 2 b 3 ] = [ a 1 b 1 a 1...