Abstract Classically, in saturation-based proof systems, unification has been considered atomic. However, it is also possible to move the calculus level, turning steps of algorithm into inferences. For calculi that rely on procedures returning large or even infinite sets unifiers, integrating an attractive method dovetailing and inference. This applies, for example, AC-superposition higher-orde...

Superpositions of periodic dot screens are largely used in electronic imaging in the field of color printing. In such superpositions the interaction between the superposed layers may cause new structures to appear which did not exist in any of the original layers: macrostructures (also known as moiré patterns) and microstructures (also known as rosettes). While macrostructures are not always ge...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}...

In ‎the present ‎paper, ‎we ‎introduce the ‎two-wavelet ‎localization ‎operator ‎for ‎the square ‎integrable ‎representation ‎of a‎ ‎homogeneous space‎ with respect to a relatively invariant measure. ‎We show that it is a bounded linear operator. We investigate ‎some ‎properties ‎of the ‎two-wavelet ‎localization ‎operator ‎and ‎show ‎that ‎it ‎is a‎ ‎compact ‎operator ‎and is ‎contained ‎in‎ a...