Consider the following implicational formulae: A1 = (p ⊃ p), A2 = (((p ⊃ p) ⊃ p) ⊃ p) = ((A1 ⊃ p) ⊃ p), …, Ai+1 = ((Ai ⊃ p) ⊃ p), …, (i = 1, 2, 3, …). Using these formulae (axioms), we may construct the following logics: ...

Let L be the class of locally compact abelian groups. For X ∈ L, we denote by t(X) the torsion subgroup of X and by E(X) the ring of continuous endomorphisms of X, taken with the compact-open topology. If X is topologically ...

Formal groups are easily defined algebraic objects that have a wide range of applications in many field of mathematics from cobordism theory to number theory with the present talk being devoted to the latter. They are ...

Let us consider the pseudo-Boolean algebra (M; ∧, ∨, ⊃, ¬), where ⊃ is relative pseudo-complement, and ¬ is pseudo-complement. We say that the system of pseudo-Boolean terms on the set of variables X (Ω – words over X ) ...

The aim of this communication is to argue that spectral collocation based on Laguerre (LGRC), Hermite (HC) as well as Sinc (SiC) functions offers reliable and accurate solutions to a large class of eigenvalue problems on ...

Noua paradigmă a educației în învățământul preuniversitar a determinat nivelul sporit de complexitate a finalităților de studii prin apariția necesității de dezvoltare echilibrată a tuturor competențelor cheie ale secolului ...

Combinatorica are o importanță considerabilă pentru teoria probabilităților, cibernetică, logica matematică, teoria numerelor, precum și pentru alte ramuri ale științei și tehnicii. În lucrare sunt cercetate avantajele ...

In our research, we started from the thesis that teachers’ metacognitive actions positively impact student performance on state and national tests as well as on measures of higher-order thinking more typically associated ...

The most important case, largely studied in analytic number theory, is the case when R is a domain (or even more particullary, when R = C) and Γ = N∗ is the multiplicative monoid of positive integers. Cashwell and Everett ...

În condițiile societății informaționale în dezvoltare tehnologiile informaționale au atins un nivel de performanță sporit, pătrunzând, practic, în toate domeniile activității societății, inclusiv, în învățământ. În acest ...