disordered lattice - ορισμός. Τι είναι το disordered lattice
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Τι (ποιος) είναι disordered lattice - ορισμός

Sleep-disordered breathing; Sleep disordered breathing
  • A [[sleep apnea]] patient exhibiting a 32s pause in breathing and snoring.

Lattice (order)         
  • '''Pic.&nbsp;6:'''  Non-lattice poset: <math>c</math> and <math>d</math> have no common upper bound.
  • '''Pic.&nbsp;10:''' Smallest non-distributive (but modular) lattice M<sub>3</sub>.
  • '''Pic.&nbsp;9:''' Monotonic map <math>f</math> between lattices that preserves neither joins nor meets, since <math>f(u) \vee f(v) = u^{\prime} \vee u^{\prime}= u^{\prime}</math> <math>\neq</math> <math>1^{\prime} = f(1) = f(u \vee v)</math> and <math>f(u) \wedge f(v) = u^{\prime} \wedge u^{\prime} = u^{\prime}</math> <math>\neq</math> <math>0^{\prime} = f(0) = f(u \wedge v).</math>
  • '''Pic.&nbsp;11:''' Smallest non-modular (and hence non-distributive) lattice N<sub>5</sub>. <br>The labelled elements violate the distributivity equation <math>c \wedge (a \vee b) = (c \wedge a) \vee (c \wedge b),</math> but satisfy its dual <math>c \vee (a \wedge b) = (c \vee a) \wedge (c \vee b).</math>
  • '''Pic.&nbsp;7:''' Non-lattice poset: <math>b</math> and <math>c</math> have common upper bounds <math>d, e,</math> and <math>f,</math> but none of them is the [[least upper bound]].
  • '''Pic.&nbsp;8:''' Non-lattice poset: <math>a</math> and <math>b</math> have common lower bounds <math>0, d, g, h,</math> and <math>i,</math> but none of them is the [[greatest lower bound]].
PARTIALLY ORDERED SET THAT ADMITS GREATEST LOWER AND LEAST UPPER BOUNDS
Lattice theory; Bounded lattice; Lattice (algebra); Lattice (order theory); Lattice homomorphism; Lattice Homomorphism; Lattice Automorphism; Lattice automorphism; Lattice Endomorphism; Lattice endomorphism; Lattice Isomorphism; Lattice isomorphism; Sublattice; Lattice order; Conditionally complete lattice; Complement (order theory); Jordan–Dedekind chain condition; Jordan-Dedekind chain condition; Jordan-Dedekind property; Jordan-Dedekind lattice; Jordan-dedekind property; Jordan-dedekind lattice; Jordan–Dedekind lattice; Partial lattice; Join-irreducible; Meet-irreducible; Join-prime; Meet-prime; Separating lattice homomorphism; Complementation (lattice theory); Complement (lattice theory)
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).
Hyperuniformity         
  • Hyperuniformity is defined by the scaling of the variance of the number of points that are within a disk of radius ''R''. For the ideal gas (left), this variance scales like the area of the disk. For a hyperuniform system (center), it scales slower than the area of the disk.<ref name="PRE-68"/> For example, for a crystal (right), it scales like the boundary length of the disk; adapted after Figure 1 of Ref.<ref name=":3"/>
A STATE SIMILAR TO A LIQUID AND A CRYSTAL IN PROPERTIES.
Disordered Hyperuniformity; Disordered hyperuniformity
Hyperuniform materials are mixed-component many-particle systems with unusually low fluctuations in component density at large scales, when compared to the distribution of constituents in common disordered systems, like a mixed ideal gas (air) or typical liquids or amorphous solids: A disordered hyperuniform system is statistically isotropic, like a liquid, but exhibits reduced long-wavelength density fluctuations, similar to crystals.
Lattice QCD         
QUANTUM CHROMODYNAMICS ON A LATTICE
QCD lattice model; Lattice qcd; Lattice quantum chromodynamics; Lattice Quantum Chromodynamics; Lattice chromodynamics; LQCD
Lattice QCD is a well-established non-perturbative approach to solving the quantum chromodynamics (QCD) theory of quarks and gluons. It is a lattice gauge theory formulated on a grid or lattice of points in space and time.

Βικιπαίδεια

Sleep and breathing

When we sleep, our breathing changes due to normal biological processes that affect both our respiratory and muscular systems.