In model theory, a branch of mathematical logic, a complete first-order theory T is called stable in λ (an infinite cardinal number), if the Stone space of every model of T of size ≤ λ has itself size ≤ λ. T is called a stable theory if there is no upper bound for the cardinals κ such that T is stable in κ. The stability spectrum of T is the class of all cardinals κ such that T is stable in κ.
For countable theories there are only four possible stability spectra. The corresponding dividing lines are those for total transcendentality, superstability and stability. This result is due to Saharon Shelah, who also defined stability and superstability.
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The stabilityspectrum of T is the class of all cardinals κ such that T is stable in κ. For countable theories there are only four possible stability spectra...
differential operators. According to Vakhitov–Kolokolov stability criterion, when k > 2, the spectrum of A has positive point eigenvalues, so that the linearized...
simultaneously by κ {\displaystyle \kappa } -stable are described by the stabilityspectrum, which singles out the even tamer subset of superstable theories....
{\displaystyle \omega } -stable. A fundamental result in stability theory is the stabilityspectrum theorem, which implies that every complete theory T in...
In nuclear physics, the island of stability is a predicted set of isotopes of superheavy elements that may have considerably longer half-lives than known...
A political spectrum is a system to characterize and classify different political positions in relation to one another. These positions sit upon one or...
support of the spectrum of J {\displaystyle J} is − 1 + S σ {\displaystyle -1+{\sqrt {S}}\sigma } . Therefore, the system will lose stability when, S > 1...
continuous excitation light source can record both an excitation spectrum and a fluorescence spectrum. When measuring fluorescence spectra, the wavelength of the...
notion of stability radius is generally applied to special functions as polynomials (the spectrum is then the roots) and matrices (the spectrum is the eigenvalues)...
In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German...
irradiance which can be focused on a surface using mirrors: 48.5 MW/m2. The spectrum of the Sun's solar radiation can be compared to that of a black body with...
an oil-soluble ingredient used in sunscreen products to absorb the full spectrum of UVA rays. Avobenzone was patented in 1973 and was approved in the EU...
In mathematics, homological stability is any of a number of theorems asserting that the group homology of a series of groups G 1 ⊂ G 2 ⊂ ⋯ {\displaystyle...
Full Spectrum Warrior is a real-time tactics video game developed by Pandemic Studios and published by THQ for Xbox, Microsoft Windows and PlayStation...
varying degrees of stability. In addition, different materials may have dark-storage stability which differs from their stability in light. Kodachrome...
uncountable analog to Fraïssé's constructions (with VanDieren), a stabilityspectrum theorem and the existence of Morley sequences for those classes (also...
In physics, stability of matter refers to the problem of showing rigorously that a large number of charged quantum particles can coexist and form macroscopic...
Union designation for the band of radio frequencies in the electromagnetic spectrum from 30 to 300 gigahertz (GHz) Frequencies in the microwave range are often...
the mass-to-charge ratio of ions. The results are presented as a mass spectrum, a plot of intensity as a function of the mass-to-charge ratio. Mass spectrometry...
acid group) confers extra stability to beta-lactamase enzymes produced by many Gram-negative bacteria. The extra stability to β-lactamases increases the...
were quite stable against radiation treatment, annatto showed limited stability, and curcumin was found to be stable at high temperatures and in acids...
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