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{{Continuum mechanics|cTopic=[[Solid mechanics]]}} In the limit where <math>C_{01}=C_{11}=0</math>, the polynomial model reduces to the [[N ...

...erated forcing can construct models where [[Martin's axiom]] holds and the continuum is any given regular cardinal. ...sub>α</sub> is often constructed as some sort of limit (such as the direct limit) of the ''P''_β for β<α. ...

...that approaches the continuum formulation in the [[scaling limit|continuum limit]]. The class of fermions whose [[Dirac equation|Dirac operators]] satisfy t ...citly violate [[Chirality (physics)|chiral symmetry]]. More precisely, the continuum chiral symmetry relation <math>D\gamma_5+\gamma_5 D=0</math> (where <math>D ...

...t membership]] serving as the order relation. <math>\omega_1</math> is a [[limit ordinal]], i.e. there is no ordinal <math>\alpha</math> such that <math>\om ...inal of a cardinal|initial ordinal]] of <math>\aleph_1</math>. Under the [[continuum hypothesis]], the cardinality of <math>\omega_1</math> is <math>\beth_1</ma ...

{{Continuum mechanics|cTopic=[[Solid mechanics]]}} In the limit where <math>J_m \rightarrow \infty</math>, the Gent model reduces to the [[ ...

In the continuum-limit approximation the FK model reduces to the exactly integrable [[sine-Gordon] ...5-9601(86)90170-2 |bibcode=1986PhLA..118..222R}}</ref> to derive continuum-limit equations from a discrete lattice results in the perturbed sine-Gordon equa ...

{{Continuum mechanics |solid}} In [[physics]] and [[continuum mechanics]], '''deformation''' is the change in the [[shape (geometry)|shap ...

...ion that <math>\aleph_\omega</math> is strong limit to that [[generalised continuum hypothesis]] holds below <math>\aleph_\omega</math>. This constituted a neg * {{cite journal|title=Large cardinals and definable counterexamples to the continuum hypothesis|author1=Foreman, Matthew |author1-link=Matthew Foreman |author2= ...

...hough the same result is expected to hold in the [[scaling limit|continuum limit]]. The theorem shows that the naive interpretation of the [[Higgs mechanism ...rious ground states is proportional to the volume, so in the thermodynamic limit this diverges, locking the system into the ground state. Local symmetries g ...

# The material has an elastic limit defined as the stress at which plastic deformation first takes place, i.e., # Beyond the elastic limit the stress state always remains on the yield surface, i.e., <math>\sigma = ...

...invariant quantity, analogous to the Wilson loop in the [[continuum limit|continuum]]. Using the [[Baker–Campbell–Hausdorff formula|BCH formula]] and the latti ...h>\text{tr}[T^aT^b] = \rho\delta^{ab}</math>, the Yang–Mills action in the continuum can be rewritten as ...

...lated fields such as [[stochastic geometry]], [[spatial statistics]] and [[continuum percolation theory]] and frequently serve as [[mathematical models]] of ran ...oints is a random closed set if the sequence has no [[Limit point#Types of limit points|accumulation points]] with probability one<ref name="schneider2008st ...

...Theory]]) descriptions as well as in [[Cosmology]], [[Continuum mechanics|Continuum Mechanics]] and [[Thermodynamics]]. Due to this property, the Alena Tensor ...=Ogonowski |publisher=World Scientific |title=Proposed method of combining continuum mechanics with Einstein Field Equations |url=https://doi.org/10.1142/S02182 ...

* ''x'' is an [[Ordinal number|ordinal]], ''x'' is a [[limit ordinal]], ''x'' is a [[successor ordinal]]<ref name="Monk2011" /> * ''x'' is a [[limit cardinal]] ...

...attice field theory]], making Dirac–Kähler fermions the formal [[continuum limit]] of staggered fermions. The equation was discovered by [[Dmitri Ivanenko]] ...ence shows that the continuum Dirac–Kähler fermion is the formal continuum limit of fermion staggered fermions. ...

...r of momentum components with <math>p_\mu = \pi/a</math>. In the continuum limit ...

In the limit <math>\eta\to 0</math> regular/irregular Coulomb wave functions <math>F_\el ...e orthonormal. When normalized on the wave number scale (''k''-scale), the continuum radial wave functions satisfy <ref>{{Citation|first=Jiří|last=Formánek|titl ...

...cle physics)|flavour]] space spanned by the two fermions. In the continuum limit <math>a\rightarrow0</math> the twisted mass becomes irrelevant in the physi ...

...the sample must not be described at an atomistic level; one rather uses a continuum description in terms of an electron density or a neutron scattering length ...exactly, averaging over slightly different particle radii, and taking the limit <math>q \to \infty</math>. ...

{{Continuum mechanics|cTopic=solid}} ...]], is known as GTN. Another approach, proposed by Rousselier, is based on continuum [[damage mechanics]] (CDM) and [[thermodynamics]]. Both models form a modif ...