The most effective way to express the mathematical and physical research results is by using formulas. Our article contains formulas that were biggest contributors development of technical, physical, sciences. can be applied in different areas. In this article, we will show how calculate an orbit a miniature satellite based on Law Gravity. For calculations online recording results, are MATLAB s...

The number of end-users who write spreadsheet programs is at least an order of magnitude larger than the number of trained programmers who write professional software. We studied a corpus of 3691 spreadsheets and we found that their formulas are riddled with the same smells that plague professional software: hardcoded constants, duplicated expressions, unnecessary complexity, and unsanitized in...

The aim of our study was to investigate whether oral ambulatory nutrition of post surgical head and neck cancer patients with recent weight loss, using two different omega 3 fatty acids enhanced diets could improve nutritional variables as well as clinical outcome. A sample of 65 ambulatory post surgical patients with oral and laryngeal cancer and recent weight loss was enrolled. At Hospital di...

Quantitative corrections are estimated to three of Franklin's sum rules involving the masses of baryons containing at least one charmed quark and to three analogous sum rules for baryons containing at least one bottom quark. The corrections arise from three-body contributions to baryon interaction energies and are calculated from a semiempirical formula for the colormagnetic contributions to ba...

There are two ways to generalize basic constructions of commutative algebra for a noncommutative case. More traditional way is to define commutative functions like trace or determinant over noncommuting variables. Beginning with [6] this approach was widely used by different authors, see for example [5], [15], [14], [12], [11], [7]. However, there is another possibility to work with purely nonc...

In this paper we define the notion of frame based formulas. We show that the well-known examples of formulas arising from a finite frame, such as the Jankov-de Jongh formulas, subframe formulas and cofinal subframe formulas, are all particular cases of the frame based formulas. We give a criterion for an intermediate logic to be axiomatizable by frame based formulas and use this criterion to ob...

In this paper, we study left and right [Formula: see text]-regular functions that originally were introduced in [I. Frenkel M. Libine, Quaternionic analysis, representation theory physics II, accepted Adv. Theor. Math. Phys]. When text], these are the usual quaternionic regular functions. We show satisfy most of properties functions, including conformal invariance under fractional linear transf...