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Public Methods. virtual dart, sigma (dart) const=0. A pur virtual function to access to the sigma of one dart of the combinatorial map. dart, sigma_1 (dart .... Bounded or \(\Delta_0\)-formulae are the formulae wherein all quantifiers are bounded; \(\Sigma_1\)-formulae are those of the form \(\exists x\varphi (x)\) .... 25-May-2021 — ... quenching and the stellar mass surface density within the central radius of 1 kpc ( Σ 1 \Sigma_1 Σ1​) of low-mass galaxies (stellar mass .... Deconstructing inner model theory, Journal of Symbolic Logic, v. 67, June 2002, pp. 721-736. postscript. with Philip Welch. $ \Sigma_1^3$ correctness and the .... D_12|o_liquid(T, v_c1,v_c2, sigma_1, sigma_2, vis_2) provides an estimate of the diffusion coefficient of species 1 (solute) in species 2 (solvent) at .... (A) \large \frac{1}{2E}[\sigma_1^2+\sigma_2^2+\sigma_3^2-2\nu (\sigma_1\sigma_2+\sigma_2\sigma_3+\sigma_3\sigma_1)].. To simplify the following notation, let us call $ x_1$ this average and $ \sigma_1$ the standard deviation of the average: .... sigma_1 - large signal coefficients; sigma_0 - small coefficients; sigma_Z - measurement noise; iter - number of BP iterations; p - number of samples .... by Z Karnin · 2015 · Cited by 30 — The second receives k and εand guarantees that \|X - (XY^\scriptstyle \textrm +)Y\|^2 \le ε\sigma_1^2 + \sigma_k+1^2. It requires a target dimension of O( k\log ... ef2a72b085
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This is a talk at the Cantor Meets Robinson conference, Dec 12–15, 2018. Consider a computable theory.... The Friedman-Goldfarb-Harrington (FGH) principle for an arithmetical theory T states that for any Sigma_1-sentence S there is a (Sigma_1) sentence R such .... by AGG Fernandez · 2013 — We show, by introducing new proof techniques, that the first order theory $\LA$ with induction restricted to $\Sigma_1^B$ formulas---i.e., .... by I Domanov · 2017 · Cited by 7 — We also show that at least for third-order cubic tensors the inverse problem always has a solution. Namely, for each $\sigma_1$, $\sigma_2$, and $\sigma_3$ that .... 16-May-2018 — We will prove that the logic collapses to its $\Sigma_3$ fragment, and we will characterize binary relations definable in the $\Sigma_1$ .... It is shown that "resectionable" \Sigma_1 statements about parameters in H_{\omega_2} which are "honestly consistent" can be forced. 04-Aug-1999 — The errors in Bob Soare's statements about Sigma_1^1-AC versus Sigma_1^1-DC are due to me (and perhaps also Harrington), not to Soare.. by PM Mathews · 2003 · Cited by 32 — So the apparent frequency of the Chandler resonance, $\sigma_1=(A/A_{\rm m}) ~( cpsd, is itself a function of the excitation frequency $\sigma$ .. 25-Sep-2019 — Our proof method grows out of a new infinitary-logic-free proof of the Barwise extension theorem, by which any countable model of set theory is .... by E Goris · 2003 · Cited by 8 — In this paper we formulate a logic $\Sigma$ILM. This logic extends ILM and contains a new unary modal operator $\Sigma_1$. The formulas of this ...
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