We prove the derived equivalence of a pair of non-compact Calabi–Yau 7-folds, which are the total spaces of certain rank 2 bundles on G2-Grassmannians. The proof follows that of the derived ...equivalence of Calabi–Yau 3-folds in G2-Grassmannians by Kuznetsov (Derived equivalence of Ito–Miura–Okawa–Ueda Calabi–Yau 3-folds. arXiv:1611.08386) closely.
On Q Visser, Albert
Soft computing (Berlin, Germany),
01/2017, Letnik:
21, Številka:
1
Journal Article
Recenzirano
In this paper we study the theory Q. We prove a basic result that says that, in a sense explained in the paper, Q can be split into two parts. We prove some consequences of this result. (i) Q is not ...a poly-pair theory. This means that, in a strong sense, pairing cannot be defined in Q. (ii) Q does not have the Pudlák Property. This means that there two interpretations of S21 in Q which do not have a definably isomorphic cut. (iii) Q is not sententially equivalent with PA-. This tells us that we cannot do much better than mutual faithful interpretability as a measure of sameness of Q and PA-. We briefly consider the idea of characterizing Q as the minimal-in-some-sense theory of some kind modulo some equivalence relation. We show that at least one possible road towards this aim is closed.
Let G be a group. The same-order type of G may be defined to be the set of sizes of equivalence classes for the equivalence relation ∼ on G defined by ∀ g , h ∈ G g ∼ h ⟺ | g | = | h | . Shen et al. ...(Monatsh Math 160:337–341,2010), showed that A 5 is the only group with the same-order type { 1 , 15 , 20 , 24 } . In this paper, among other things, we prove that a nonabelian simple group G has same-order type with just four members if and only if G ≅ A 5 .
Let B be one of the spaces Lp(−π,π), 1 ≤ p < ∞, p ≠ 2, and C−π,π. Sufficient conditions under which the “perturbed” trigonometric system , n ∈ Z, is equivalent in B to the trigonometric system eint, ...n ∈ Z, are found. Under an additional requirement on (αn), a necessary condition is obtained. One of the results is as follows. If (αn) ∈ ls, where 1/s = 1/p - 1/2, then the equivalence specified above takes place, and the exponent s is exact; the space C corresponds to p = ∞. The proofs are based on the application of Fourier multipliers.
A relation of equivalence for the differential systems has been found since the establishment of reflecting theory by Professor Mironenko. Then the equivalence between complicated systems and simple ...systems, between nonautonomous differential systems and autonomous differential systems has been established, which can be employed to study the qualitative behavior of a complicated or nonautonomous differential sytem by discussing a simple or autonomous differential system.Many good results with theoretical and practical value have been obtained by researchers&
Self-report survey-based data collection is increasingly carried out using the Internet, as opposed to the traditional paper-and-pencil method. However, previous research on the equivalence of these ...methods has yielded inconsistent findings. This may be due to methodological and statistical issues present in much of the literature, such as nonequivalent samples in different conditions due to recruitment, participant self-selection to conditions, and data collection procedures, as well as incomplete or inappropriate statistical procedures for examining equivalence. We conducted 2 studies examining the equivalence of paper-and-pencil and Internet data collection that accounted for these issues. In both studies, we used measures of personality, social desirability, and computer self-efficacy, and, in Study 2, we used personal growth initiative to assess quantitative equivalence (i.e., mean equivalence), qualitative equivalence (i.e., internal consistency and intercorrelations), and auxiliary equivalence (i.e., response rates, missing data, completion time, and comfort completing questionnaires using paper-and-pencil and the Internet). Study 1 investigated the effects of completing surveys via paper-and-pencil or the Internet in both traditional (i.e., lab) and natural (i.e., take-home) settings. Results indicated equivalence across conditions, except for auxiliary equivalence aspects of missing data and completion time. Study 2 examined mailed paper-and-pencil and Internet surveys without contact between experimenter and participants. Results indicated equivalence between conditions, except for auxiliary equivalence aspects of response rate for providing an address and completion time. Overall, the findings show that paper-and-pencil and Internet data collection methods are generally equivalent, particularly for quantitative and qualitative equivalence, with nonequivalence only for some aspects of auxiliary equivalence.
O presente trabalho teve como objetivo avaliar a produtividade e alguns caracteres agronômicos da cultura do milho sobre a adubação organomineral e a adubação química onde ambas as formulações se ...equivalem segundo empresa fornecedora do adubo organomineral. O experimento foi conduzido no município de Itaipulândia - PR. O delineamento foi em DBC, compostos por três tratamentos e sete repetições de cada tratamento: Tratamento 1 - Sem Adubação; Tratamento 2 ? adubo químico na base recomendado + ureia; Tratamento 3 ? adubo organomineral na base recomendado + ureia. Na adubação de base foram utilizados adubos equivalentes segundo fabricante do fertilizante organomineral, 300 kg ha-1 do adubo químico formulado 10 ? 15 ? 15, e 300 kg ha-1 do adubo organomineral da formulado 05-10-10. Os resultados obtidos foram submetidos à análise de variância e as médias comparadas com o teste de Tukey a 5% de probabilidade, utilizando o programa Sisvar. A adubação organomineral não traz resultados superiores a adubação química quando utilizadas formulações que se dizem equivalentes, neste trabalho as plantas com adubação química obtiveram maior estatura que os demais tratamentos e produziram em media 1368 kg ha-1 a mais que a adubação organomineral, mostrando desta forma que a adubação química é mais vantajosa.
For any unital separable simple infinite-dimensional nuclear C super()-algebra with finitely many extremal traces, we prove that $$ \mathcal{Z} $$ -absorption, strict comparison and property (SI) are ...equivalent. We also show that any unital separable simple nuclear C super()-algebra with tracial rank zero is approximately divisible, and hence is $$ \mathcal{Z} $$ -absorbing.
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