The articles [8], [3], [10], [11], [4], [1], [5], [2], [13], [6], [7], [12], and [9] provide the notation and terminology for this paper. In this paper i denotes a natural number. Let K be a field and let M1, M2 be matrices over K. The functor M1 −M2 yielding a matrix over K is defined by: (Def. 1) M1 − M2 = M1 + −M2. One can prove the following propositions: (1) For every field K and for every...

The Lacaze-Duthiers Canyon is located in the western Mediterranean Sea and long known for hosting cold-water coral colonies canyon head region at depths ranging from 250 to 550 m. In 2019 during CALADU cruise, three kinds of 3D-reconstructions were applied better understand distribution colonies, their habitat skeleton morphologies. canyon's flanks mapped using a hull-mounted echosounder an ROV...

We show that if f : M3 → M3 is an A-diffeomorphism with a surface two-dimensional attractor or repeller B andM2 B is a supporting surface for B, then B = M2 B and there is k ≥ 1 such that: 1) M2 B is a union M 2 1 ∪ . . .∪M 2 k of disjoint tame surfaces such that every M2 i is homeomorphic to the 2-torus T 2. 2) the restriction of f to M2 i (i ∈ {1, . . . , k}) is conjugate to Anosov automorphi...

silvicultural operation need to notice the plant species diversity in forest. to this study gomarlang district in marivan region, northern zagros forest was selected. selected 100 ha area because have similar physiography condition (north aspect and 1650 to 1800 m s.a.l. in study area 100 micro plots of 5m by 5 m (25 m2) including the species and the numbers of this species randomized-systemati...

the objective of this research was to study the relationships between edaphic and topographic factors with distribution of plant species. for this purpose, current study was conducted in eshtehard rangelands of tehran province. the sampling method was randomized–systematic and in each sampling unit, three parallel transects with 750 m length containing 45 quadrates (according to vegetation vari...

Abstract. If M is a compact oriented 3-manifold, let S(M) denote the Homflypt skein module of M. We show that S(M1#M2) is isomorphic to S(M1)⊗ S(M2) modulo torsion. In fact, we show that S(M1#M2) is isomorphic to S(M1) ⊗ S(M2) if we are working over a certain localized ring. We show a similar result holds for relative skein modules. If M contains a separating 2-sphere, we give conditions under ...

Removal samples from an irrigated pasture were used as a calibration technique for the D-Vac. Plots 4 m2 were enclosed with a frame, and 1 initial and 3 removal samples were taken. Equations are given for computing the population and probability of collecting an insect. For leafhopper adults, leafhopper nymphs, Orius insidiosus (Say), and corn flea beetle, Chaetocnema pulicaria Melsheimer, cali...

Principles of tomography are developed and applied to the problem of two-view interferometry on a tokamak plasma. It is shown that M equispaced views, or projections, of a two-dimensional object yield precisely M 2 + M numbers characterizing the object. This result is an extension of the previous work of Niland [J. Opt. Soc. Am. 72, 1677 (1982)], who proved that M2 generalized Fourier coefficie...