a spectral space is a topological space that is homeomorphic to the spectrum of a commutative ring. It is sometimes also called a coherent space because...

episodes, the Taylors, the Ancients, and the Drakes get captured by Spectral Space Pirates. Dr. Reese Drake / Riasu Tatsuno (竜野 リアス, Tatsuno Riasu) Voiced...

called the spectral decomposition, of the underlying vector space on which the operator acts. Augustin-Louis Cauchy proved the spectral theorem for symmetric...

formulation of Hilbert space theory, which was cast in terms of quadratic forms in infinitely many variables. The original spectral theorem was therefore...

Non-spectral colors (or extra-spectral colors) are evoked by a combination of spectral colors. In color spaces which include all, or most spectral colors...

kidnapped by Gavro, a member of the Spectral Space Pirates. This causes the Alpha Gang and D-Team to join forces against the Space Pirates in their plot to obtain...

to the LMS color space when the spectral sensitivity "primaries" are defined according to the standard observer. The LMS color space can be further transformed...

representations of bounded distributive lattices via Priestley spaces, spectral spaces, and pairwise Stone spaces. This duality, which is originally also due to Marshall...

(X,τ) is a spectral space, then (X,τ#,≤) is a Priestley space. In fact, this correspondence between Priestley spaces and spectral spaces is functorial...

composed of any number of spectral colors, the space of physical colors may aptly be represented by a Hilbert space over spectral colors. Humans have three...

{\Delta }{2}},\\0,&{\text{otherwise}}.\end{cases}}} The filter kernel in spectral space is given by: G ^ ( k ) = sin ⁡ ( 1 2 k Δ ) 1 2 k Δ . {\displaystyle...

square-integrable aspects of functional analysis. Such spaces were introduced to study spectral theory. They bring together the 'bound state' (eigenvector)...

zero-dimensional. Pairwise Stone spaces are a bitopological version of Stone spaces. Pairwise Stone spaces are closely related to spectral spaces. Theorem: If ( X ,...

many technology industry analysts. iDEN places more users in a given spectral space, compared to analog cellular and two-way radio systems, by using speech...

A spectral line is a weaker or stronger region in an otherwise uniform and continuous spectrum. It may result from emission or absorption of light in a...

In multivariate statistics, spectral clustering techniques make use of the spectrum (eigenvalues) of the similarity matrix of the data to perform dimensionality...

T0 spaces are sober. The prime spectrum Spec(R) of a commutative ring R with the Zariski topology is a compact sober space. In fact, every spectral space...

closed. Since Priestley spaces can be described in terms of spectral spaces, the Esakia property can be expressed in spectral space terminology as follows:...

mathematics, the Serre spectral sequence (sometimes Leray–Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an...

spatio-spectrally concentrated functions (that is, space- or time-concentrated while spectrally bandlimited, or spectral-band-concentrated while space- or...

mathematics, the spectral radius of a square matrix is the maximum of the absolute values of its eigenvalues. More generally, the spectral radius of a bounded...

stellar classification is the classification of stars based on their spectral characteristics. Electromagnetic radiation from the star is analyzed by...

T1 space. However, Spec ⁡ ( R ) {\displaystyle \operatorname {Spec} (R)} is always a Kolmogorov space (satisfies the T0 axiom); it is also a spectral space...

The spectral dimension is a real-valued quantity that characterizes a spacetime geometry and topology. It characterizes a spread into space over time...

coherence space translation was used because spectral spaces are sometimes called coherent spaces. As defined by Jean-Yves Girard, a coherence space A {\displaystyle...

Spectral bands are regions of a given spectrum, having a specific range of wavelengths or frequencies. Most often, it refers to electromagnetic bands,...

Spectral Theory (1950) Modulared Semi-Ordered Linear Spaces (1950) Topology of linear topological spaces (1951) Spectral theory in the Hilbert space (1953)...

∪ V {\displaystyle (X\setminus U)\cup V} . More precisely, X is the spectral space of prime ideals of the bounded lattice H and L is the lattice of open...

(pre)order Sober space Spectral space Alexandrov topology Upper topology Scott topology Scott continuity Lawson topology Polish Space Cantor space Inductive...

database of camera spectral sensitivity is created and its space analyzed. For X-ray films, the spectral sensitivity is chosen to be appropriate to the phosphors...