A multimatroid is a combinatorial structure that encompasses matroids, delta-matroids and isotropic systems. This structure has been introduced to unify a theorem of Edmonds on the coverings of a matroid by independent sets and a theorem of Jackson on the existence of pairwise compatible Euler tours in a 4-regular graph. Here we investigate some basic concepts and properties related with multim...

Seven new withanolides (1-7) were isolated from the aerial parts of Jaborosa caulescens var. caulescens and Jaborosa caulescens var. bipinnatifida. Three of the new compounds are related to jaborosalactones R, S, and T with a delta-lactone side chain and a hemiketal (or ketal) ring formed between a 21-hydroxyl and a 12-ketone (1-3). Compounds 4-7 are trechonolide-type withanolides with a gamma-...

The characters of the (total) Springer representations afford Green functions, that can understood as generalizations Hall–Littlewood’s Q-functions. In this paper, we present a purely algebraic proof GL(n) are Ext-orthogonal to each other, and show it is compatible with natural categorification ring symmetric functions.

A complementary metal-oxide-semiconductor (CMOS)-compatible carrier-injection plasmonic micro-ring modulator (CIPMRM) is designed and analyzed theoretically. The CIPMRM has a compacted footprint of 49.3 μm2 (R = 2 μm), bit rate 36.5 Gbps, insertion loss −9.8 dB, static extinction ratio 21.7 energy consumption 4.40 pJ/bit as 2.2 V peak-to-peak voltage applied at 1550 nm. Besides, the method reso...

in this paper, we introduce a class of $j$-quasipolar rings. let $r$ be a ring with identity. an element $a$ of a ring $r$ is called {it weakly $j$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $j(r)$ and the ring $r$ is called {it weakly $j$-quasipolar} if every element of $r$ is weakly $j$-quasipolar. we give many characterizations and investiga...

Leustroducsins (LSNs) A, B and C, novel inducers of colony-stimulating factors (CSFs), were isolated from culture broth of Streptomyces platensis SANK 60191 mainly by ethyl acetate extraction and preparative reverse-phase HPLC. The molecular weights and molecular formulae of LSNs A, B and C are 641: C32H52O10NP, 669: C34H56O10NP and 669: C34H56O10NP, respectively. The structure elucidation reve...

An efficient approach for the synthesis of monosubstituted aromatic compounds relying on a ring-closing metathesis followed by spontaneous 1,2-elimination is presented. The efficiency late-stage functionalization highlighted in various solvents (up to 920 TON). This compatible with strained cycles and other multiple bonds substrate.

Nowadays, the All-Digital Phase-Locked Loop (ADPLL) as a digital electronic circuit is applied in modern communication systems. The main components of ADPLL such as phase detector, loop filter and voltage controlled oscillator which are all digitally discussed in detail. On the other hand, sensitivity to parasitic mismatches in LC oscillators and the limitation of the robustness and the quantiz...

in this paper, we investigate various kinds of extensions of twin-good rings. moreover, we prove that every element of an abelian neat ring r is twin-good if and only if r has no factor ring isomorphic to z2  or z3. the main result of [24] states some conditions that any right self-injective ring r is twin-good. we extend this result to any regular baer ring r by proving that every element of a...