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Wenni, Mariza. "BILANGAN KROMATIK LOKASI DARI GRAF P m P n ; K m P n ; DAN K , m K n." Jurnal Matematika UNAND 2, no. 1 (March 10, 2013): 14. http://dx.doi.org/10.25077/jmu.2.1.14-22.2013.
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Let G and H be two connected graphs. Let c be a vertex k-coloring of aconnected graph G and let = fCg be a partition of V (G) into the resultingcolor classes. For each v 2 V (G), the color code of v is dened to be k-vector: c1; C2; :::; Ck(v) =(d(v; C1); d(v; C2); :::; d(v; Ck)), where d(v; Ci) = minfd(v; x) j x 2 Cg, 1 i k. Ifdistinct vertices have distinct color codes with respect to , then c is called a locatingcoloring of G. The locating chromatic number of G is the smallest natural number ksuch that there are locating coloring with k colors in G. The Cartesian product of graphG and H is a graph with vertex set V (G) V (H), where two vertices (a; b) and (a)are adjacent whenever a = a0and bb02 E(H), or aa0i2 E(G) and b = b, denotedby GH. In this paper, we will study about the locating chromatic numbers of thecartesian product of two paths, the cartesian product of paths and complete graphs, andthe cartesian product of two complete graphs.
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Isono, Yusuke. "ON FUNDAMENTAL GROUPS OF TENSOR PRODUCT FACTORS." Journal of the Institute of Mathematics of Jussieu 19, no. 4 (August 2, 2018): 1121–39. http://dx.doi.org/10.1017/s1474748018000336.
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Let $M$ be a $\text{II}_{1}$ factor and let ${\mathcal{F}}(M)$ denote the fundamental group of $M$. In this article, we study the following property of $M$: for any $\text{II}_{1}$ factor $B$, we have ${\mathcal{F}}(M\,\overline{\otimes }\,B)={\mathcal{F}}(M){\mathcal{F}}(B)$. We prove that for any subgroup $G\leqslant \mathbb{R}_{+}^{\ast }$ which is realized as a fundamental group of a $\text{II}_{1}$ factor, there exists a $\text{II}_{1}$ factor $M$ which satisfies this property and whose fundamental group is $G$. Using this, we deduce that if $G,H\leqslant \mathbb{R}_{+}^{\ast }$ are realized as fundamental groups of $\text{II}_{1}$ factors, then so are groups $G\cdot H$ and $G\cap H$.
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GHOSH, NIRUPAM, and VASUDEVARAO ALLU. "ON SOME SUBCLASSES OF HARMONIC MAPPINGS." Bulletin of the Australian Mathematical Society 101, no. 1 (July 10, 2019): 130–40. http://dx.doi.org/10.1017/s0004972719000698.
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Let ${\mathcal{P}}_{{\mathcal{H}}}^{0}(M)$ denote the class of normalised harmonic mappings $f=h+\overline{g}$ in the unit disk $\mathbb{D}$ satisfying $\text{Re}\,(zh^{\prime \prime }(z))>-M+|zg^{\prime \prime }(z)|$, where $h^{\prime }(0)-1=0=g^{\prime }(0)$ and $M>0$. Let ${\mathcal{B}}_{{\mathcal{H}}}^{0}(M)$ denote the class of sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\mathbb{D}$ satisfying $|zh^{\prime \prime }(z)|\leq M-|zg^{\prime \prime }(z)|$, where $M>0$. We discuss the coefficient bound problem, the growth theorem for functions in the class ${\mathcal{P}}_{{\mathcal{H}}}^{0}(M)$ and a two-point distortion property for functions in the class ${\mathcal{B}}_{{\mathcal{H}}}^{0}(M)$.
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Kearns, Fiona, Luke Warrensford, Stefan Boresch, and H. Woodcock. "The Good, the Bad, and the Ugly: “HiPen”, a New Dataset for Validating (S)QM/MM Free Energy Simulations." Molecules 24, no. 4 (February 14, 2019): 681. http://dx.doi.org/10.3390/molecules24040681.
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Indirect (S)QM/MM free energy simulations (FES) are vital to efficiently incorporating sufficient sampling and accurate (QM) energetic evaluations when estimating free energies of practical/experimental interest. Connecting between levels of theory, i.e., calculating Δ A l o w → h i g h , remains to be the most challenging step within an indirect FES protocol. To improve calculations of Δ A l o w → h i g h , we must: (1) compare the performance of all FES methods currently available; and (2) compile and maintain datasets of Δ A l o w → h i g h calculated for a wide-variety of molecules so that future practitioners may replicate or improve upon the current state-of-the-art. Towards these two aims, we introduce a new dataset, “HiPen”, which tabulates Δ A g a s M M → 3 o b (the free energy associated with switching from an M M to an S C C − D F T B molecular description using the 3ob parameter set in gas phase), calculated for 22 drug-like small molecules. We compare the calculation of this value using free energy perturbation, Bennett’s acceptance ratio, Jarzynski’s equation, and Crooks’ equation. We also predict the reliability of each calculated Δ A g a s M M → 3 o b by evaluating several convergence criteria including sample size hysteresis, overlap statistics, and bias metric ( Π ). Within the total dataset, three distinct categories of molecules emerge: the “good” molecules, for which we can obtain converged Δ A g a s M M → 3 o b using Jarzynski’s equation; “bad” molecules which require Crooks’ equation to obtain a converged Δ A g a s M M → 3 o b ; and “ugly” molecules for which we cannot obtain reliably converged Δ A g a s M M → 3 o b with either Jarzynski’s or Crooks’ equations. We discuss, in depth, results from several example molecules in each of these categories and describe how dihedral discrepancies between levels of theory cause convergence failures even for these gas phase free energy simulations.
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Jakovac, Marko, and Iztok Peterin. "On the b-chromatic number of some graph products." Studia Scientiarum Mathematicarum Hungarica 49, no. 2 (June 1, 2012): 156–69. http://dx.doi.org/10.1556/sscmath.49.2012.2.1194.
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A b-coloring is a proper vertex coloring of a graph such that each color class contains a vertex that has a neighbor in all other color classes and the b-chromatic number is the largest integer φ(G) for which a graph has a b-coloring with φ(G) colors. We determine some upper and lower bounds for the b-chromatic number of the strong product G ⊠ H, the lexicographic product G[H] and the direct product G × H and give some exact values for products of paths, cycles, stars, and complete bipartite graphs. We also show that the b-chromatic number of Pn ⊠ H, Cn ⊠ H, Pn[H], Cn[H], and Km,n[H] can be determined for an arbitrary graph H, when integers m and n are large enough.
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Aldwaik, Suzana, Martin Edjvet, and Arye Juhász. "Asphericity of positive free product length 4 relative group presentations." Forum Mathematicum 31, no. 1 (January 1, 2019): 49–68. http://dx.doi.org/10.1515/forum-2017-0141.
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Abstract Excluding some exceptional cases, we determine the asphericity of the relative presentation {\mathcal{P}=\langle G,x\mid ax^{m}bx^{n}\rangle} , where {a,b\in G\setminus\{1\}} and {1\leq m\leq n} . If {H=\langle a,b\rangle\leq G} , the exceptional cases occur when {a=b^{2}} or when H is isomorphic to {C_{6}} .
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Sahab, Salem M. A. "Bounded measurable simultaneous monotone approximation." Bulletin of the Australian Mathematical Society 40, no. 1 (August 1989): 37–48. http://dx.doi.org/10.1017/s0004972700003476.
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Let X = [a, b] be a closed bounded real interval. Let B be the closed linear space of all bounded real valued functions defined on X, and let M ⊆ B be the closed convex cone consisting of all monotone non-decreasing functions on X. For f, g ∈ B and a fixed positive w ∈ B, we define the so-called best L∞-simultaneous approximant of f and g to be an element h* ∈ M satisfyingfor all h ∈ M, whereWe establish a duality result involving the value of d in terms of f, g and w only.If in addition f, g and w are continuous, then some characterisation results are obtained.
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Rehman, Nadeem ur. "On certain equations in semiprime rings and standard operator algebras." Advances in Pure and Applied Mathematics 10, no. 3 (July 1, 2019): 241–50. http://dx.doi.org/10.1515/apam-2018-0033.
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Abstract The purpose of this paper is to prove the following result which is related to a classical result of Chernoff. Let X be a real or complex Banach space, let {\mathcal{L}(X)} be the algebra of all bounded linear operators of X into itself and let {\mathcal{A}(X)\subset\mathcal{L}(X)} be a standard operator algebra. Suppose there exist linear mappings {\mathcal{H},\mathcal{G}\colon\mathcal{A(X)}\to\mathcal{L(X)}} satisfying the relations \displaystyle\mathcal{H}(\mathcal{A}^{m+n})=\mathcal{H}(\mathcal{A}^{m})% \mathcal{A}^{n}+\mathcal{A}^{m}\mathcal{G}(\mathcal{A}^{n}), \displaystyle\mathcal{G}(\mathcal{A}^{m+n})=\mathcal{G}(\mathcal{A}^{m})% \mathcal{A}^{n}+\mathcal{A}^{m}\mathcal{H}(\mathcal{A}^{n}) for all {\mathcal{A}\in\mathcal{A(X)}} and some fixed integers {m,n\geq 1} . Then there exists {\mathcal{B}\in\mathcal{L(X)}} , such that {\mathcal{H(A)}=\mathcal{AB}-\mathcal{BA}} for all {\mathcal{A}\in\mathcal{F(X)}} , where {\mathcal{F(X)}} denotes the ideal of all finite rank operators in {\mathcal{L}(X)} , and {\mathcal{H}(\mathcal{A}^{m})=\mathcal{A}^{m}\mathcal{B}-\mathcal{B}\mathcal{A% }^{m}} for all {\mathcal{A}\in\mathcal{A(X)}} .
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Roman’kov, Vitaly. "Embedding theorems for solvable groups." Proceedings of the American Mathematical Society 149, no. 10 (July 28, 2021): 4133–43. http://dx.doi.org/10.1090/proc/15562.
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In this paper, we prove a series of results on group embeddings in groups with a small number of generators. We show that each finitely generated group G G lying in a variety M {\mathcal M} can be embedded in a 4 4 -generated group H ∈ M A H \in {\mathcal M}{\mathcal A} ( A {\mathcal A} means the variety of abelian groups). If G G is a finite group, then H H can also be found as a finite group. It follows, that any finitely generated (finite) solvable group G G of the derived length l l can be embedded in a 4 4 -generated (finite) solvable group H H of length l + 1 l+1 . Thus, we answer the question of V. H. Mikaelian and A. Yu. Olshanskii. It is also shown that any countable group G ∈ M G\in {\mathcal M} , such that the abelianization G a b G_{ab} is a free abelian group, is embeddable in a 2 2 -generated group H ∈ M A H\in {\mathcal M}{\mathcal A} .
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Pałka, Paweł. "Obowiązek rezydencji prałatów i kanoników katedralnej kapituły chełmskiej w Krasnymstawie." Prawo Kanoniczne 28, no. 3-4 (December 10, 1985): 223–36. http://dx.doi.org/10.21697/pk.1985.28.3-4.07.
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T h e q u e stio n show ed in a T itle of th is m o n o g rap h re g a rd th eC h a p te r c o n stitu te d in C hełm in v irtu e of F o u n d a tio n A ct of th eK in g W ład y sław Jag iełło fro m 1429, a n d tram sfered in 1490 to K ra sn y staw . F o r th e en d o v em e n t of thfe C h a p ter com posed in itia l fro m2 p re la te s a n d 10 canons d em an d e d th e K ing, th a t a ll m em b ers oft-he C h ap te r sh o u ld resid e by th e C a th e d ra l to k eep a sp len d o r ofG od’s C u lt a n d in o rd e r th a t th ey should say p re y e rs fo r th e fo u n d er,h is fam ily, th e deceased w ifes a n d fo r a p ro sp e rity of K ingdom .S im ila r resid en ce d em an d e d also T re n t’s C ouncil a n d C h a p te r’s C h a rte rs a p p ro v ed b y B ishop W ojciech Sobi-ejuski fro m S taro izrzeb iec in 1572.
C ause a pooor endow m ent of th e C haiptar th e p ré la ts a n d th ecanons alm o st since a b eg in n in g assu m ed o th e r P a s to ra l’s b eneficesin a D iocese, it w as la ck of th e fu n d s a d e q u a te fo r all m em b ers ofa C h a p ter (in itial 12, a n d la te r 19) fo r su b sisten ce b esid e th e C ath e d ra l, chiefly th a t in som e y e ars th e e states of C h a p te r w e re dev a sta te d b y T a ta r’s invasions.G oing th ro u g h th e y ro u n d of d u ties th e B ishops w e re w a tc h in gab o u t th e fu lfilm e n t th e ir o b lig atio n of R esidence by p ré la ts an dcanons, a n d th ey w a tc h in g also th a t G od’s cu lt sh o u ld be rig h tlyp erfo rm ed , a t le a s t successively b y a p a rt of th e m em b ers of a C h ap te r. I t w as se ttle d a cu sto m co n cern in g th e p e rfo rm a n ce o f a C ulta n d th e fu lfilm e n t of d u ties re la te d to, in a fa rm of ro ta tio n design a te d by a C h ap ter.I t w e re w eek ly ro ta tio n , a n d o ften m o n th ly, com posed by tw o p ré la ts or canons. S om etim e o n ly th e y w e re re p la ce d b y h o n o ra ry canons. A lso th is m a n n e r of resid en ce w aist ev e ry tim e co n serv e v erye x actly , w h a t w as show ed in th e reco rd s of C h a p te r’s sessions a n din R e fo rm atio n al D ecrees issu ed b y B ishops a fte r th e acco m p lish m en ts of C a th e d ra l v isitatio n s.I t w as in a p rin c ip le d u rin g a ll tim e of th is C h a p te r ex istatio n ,w h ich w as ab ro g a te d to g e th e r w ith th e ab ro g a tio n o f C helm ’s diocese by a P o p e P iu s V II w ith a B u lla Q u em a d m o d u m R o m a n o ru mP o n tific u m fro m O ct. 9, 1805, p u t in to effect in 18C7, sim u ltan eo u slyto a c rea tio n of L u b lin ’s diocese a n d it C a th e d ra l C h ap ter.
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LIN, JING, QINGHOU ZENG, and FUYUAN CHEN. "MAXIMUM CUTS IN GRAPHS WITHOUT WHEELS." Bulletin of the Australian Mathematical Society 100, no. 1 (December 26, 2018): 13–26. http://dx.doi.org/10.1017/s0004972718001259.
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For a graph $G$, let $f(G)$ denote the maximum number of edges in a bipartite subgraph of $G$. Given a fixed graph $H$ and a positive integer $m$, let $f(m,H)$ denote the minimum possible cardinality of $f(G)$, as $G$ ranges over all graphs on $m$ edges that contain no copy of $H$. Alon et al. [‘Maximum cuts and judicious partitions in graphs without short cycles’, J. Combin. Theory Ser. B 88 (2003), 329–346] conjectured that, for any fixed graph $H$, there exists an $\unicode[STIX]{x1D716}(H)>0$ such that $f(m,H)\geq m/2+\unicode[STIX]{x1D6FA}(m^{3/4+\unicode[STIX]{x1D716}})$. We show that, for any wheel graph $W_{2k}$ of $2k$ spokes, there exists $c(k)>0$ such that $f(m,W_{2k})\geq m/2+c(k)m^{(2k-1)/(3k-1)}\log m$. In particular, we confirm the conjecture asymptotically for $W_{4}$ and give general lower bounds for $W_{2k+1}$.
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Buechler, Steven. "The geometry of weakly minimal types." Journal of Symbolic Logic 50, no. 4 (December 1985): 1044–53. http://dx.doi.org/10.2307/2273989.
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AbstractLet T be superstable. We say a type p is weakly minimal if R(p, L, ∞) = 1. Let M ⊨ T be uncountable and saturated, H = p(M). We say D ⊂ H is locally modular if for all X, Y ⊂ D with X = acl(X) ∩ D, Y = acl(Y) ∩ D and X ∩ Y ≠ ∅,Theorem 1. Let p ∈ S(A) be weakly minimal and D the realizations of stp(a/A) for some a realizing p. Then D is locally modular or p has Morley rank 1.Theorem 2. Let H, G be definable over some finite A, weakly minimal, locally modular and nonorthogonal. Then for all a ∈ H∖acl(A), b ∈ G∖acl(A) there area′ ∈ H, b′ ∈ G such that a′ ∈ acl(abb′A)∖acl(aA). Similarly when H and G are the realizations of complete types or strong types over A.
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Arkowitz, Martin, and Mauricio Gutierrez. "Co-actions of groups." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 131, no. 2 (April 2001): 225–39. http://dx.doi.org/10.1017/s0308210500000858.
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Let f : G → H be a fixed homomorphism and p′ : G * H → G and p″ : G * H → H the two projections of the free product. Then a co-action relative to f is a homomorphism s : G → G * H such that p′s = id and p″s = f. We study this notion and investigate the following questions. What restrictions does s place on the structure of the group G? What form does s take in special cases? When does s induce a co-multiplication on H? What is the relation between associativity of s and associativity of the induced co-multiplication m on H? What are the properties of the operation of Hom(H, B) on Hom(G, B) induced by s : G → G * H? In addition, we give several diverse examples of co-actions in the last section.
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Kaliszewski, S., Magnus B. Landstad, and John Quigg. "Hecke C*-algebras and semi-direct products." Proceedings of the Edinburgh Mathematical Society 52, no. 1 (February 2009): 127–53. http://dx.doi.org/10.1017/s0013091506001469.
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AbstractWe analyse Hecke pairs (G,H) and the associated Hecke algebra $\mathcal{H}$ when G is a semi-direct product N ⋊ Q and H = M ⋊ R for subgroups M ⊂ N and R ⊂ Q with M normal in N. Our main result shows that, when (G,H) coincides with its Schlichting completion and R is normal in Q, the closure of $\mathcal{H}$ in C*(G) is Morita–Rieffel equivalent to a crossed product I⋊βQ/R, where I is a certain ideal in the fixed-point algebra C*(N)R. Several concrete examples are given illustrating and applying our techniques, including some involving subgroups of GL(2,K) acting on K2, where K = ℚ or K = ℤ[p−1]. In particular we look at the ax + b group of a quadratic extension of K.
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Auteur.e.s, Divers es. "Isolement / Eclipse lunaire." ti< 7, no. 1 (March 31, 2018): 3. http://dx.doi.org/10.26522/ti.v7i1.1728.
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Isolement / Eclipse lunaireCe poème a été créé à partir de deux noms de couleur cités à la page 49 de L’esprit du temps / The Spirit of the Time de Daniel Dugas (Sudbury : Prise de parole, 2015). Ses auteurs sont Daniel Dugas, Amandine F, Dailia F, Craig M, Keira R-W, Jaclyn M, Katie M, Stefanie G, Kaitlyn M, Chris B, Sam H, Aimée H, Jennie M, Maddy C, Mariah D, Brandon B, Andrea C, Michelle N, Brendan L, Alex F, Elizabeth A, Marilyn B. La coordinatrice est Catherine Parayre.
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Künzli, M., P. North, R. L. Kurucz, and B. Nicolet. "A calibration of Geneva photometry for B to G stars in terms of Teff, log g and $[M/H]$." Astronomy and Astrophysics Supplement Series 122, no. 1 (April 1997): 51–77. http://dx.doi.org/10.1051/aas:1997291.
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Furqan, Salman, Hüseyin Işık, and Naeem Saleem. "Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results." Journal of Function Spaces 2021 (May 20, 2021): 1–8. http://dx.doi.org/10.1155/2021/9936992.
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In this study, we introduce fuzzy triple controlled metric space that generalizes certain fuzzy metric spaces, like fuzzy rectangular metric space, fuzzy rectangular b -metric space, fuzzy b -metric space, and extended fuzzy b -metric space. We use f , g , h , three noncomparable functions as follows: m q μ , η , t + s + w ≥ m q μ , ν , t / f μ , ν ∗ m q ν , ξ , s / g ν , ξ ∗ m q ξ , η , w / h ξ , η . We prove Banach fixed point theorem in the settings of fuzzy triple controlled metric space that generalizes Banach fixed point theorem for aforementioned spaces. An example is presented to support our main results. We also apply our technique to the uniqueness for the solution of an integral equation.
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Steinberg, C. E. W. "Book Review: Refractory Organic Substances in the Environment. By H. Frimmel, G. Abbt-Braun, K. G. Heumann, B. Hock, H. D. Lüdemann, M. Spiteller." International Review of Hydrobiology 88, no. 34 (July 2003): 428–29. http://dx.doi.org/10.1002/iroh.200390037.
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DETOMI, ELOISA, GURAM DONADZE, MARTA MORIGI, and PAVEL SHUMYATSKY. "ON FINITE-BY-NILPOTENT GROUPS." Glasgow Mathematical Journal 63, no. 1 (December 20, 2019): 54–58. http://dx.doi.org/10.1017/s0017089519000508.
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AbstarctLet γn = [x1,…,xn] be the nth lower central word. Denote by Xn the set of γn -values in a group G and suppose that there is a number m such that $|{g^{{X_n}}}| \le m$ for each g ∈ G. We prove that γn+1(G) has finite (m, n) -bounded order. This generalizes the much-celebrated theorem of B. H. Neumann that says that the commutator subgroup of a BFC-group is finite.
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Lotsch, Jorn, Gerd Kobal, Anne Stockmann, Kay Brune, and Gerd Geisslinger. "Lack of Analgesic Activity of Morphine-6-glucuronide after Short-term Intravenous Administration in Healthy Volunteers." Anesthesiology 87, no. 6 (December 1, 1997): 1348–58. http://dx.doi.org/10.1097/00000542-199712000-00014.
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Background The analgesic activity of morphine-6-glucuronide (M-6-G) is well recognized for its contribution to the effects of morphine and its possible use as an opioid analgesic with a wider therapeutic range than morphine. The present study attempted to quantify the relative contribution of M-6-G to analgesia observed after systemic administration of morphine. Methods In a placebo-controlled, sixfold crossover study in 20 healthy men, the effects of M-6-G were assessed at steady-state plasma concentrations of M-6-G identical to and two and three times higher than those measured after administration of morphine. Morphine and M-6-G were administered as an intravenous bolus followed by infusion over 4 h. Dosage A was M-6-G-bolus of 0.015 mg/kg plus infusion of 0.0072 mg x kg(-1) x h(-1). Dosage B was M-6-G-bolus of 0.029 mg/kg plus infusion of 0.014 mg x kg(-1) x h(-1). Dosage C was M-6-G-bolus of 0.044 mg/kg plus infusion of 0.022 mg x kg(-1) x h(-1). Dosage D was a morphine bolus of 0.14 mg/kg plus infusion of 0.05 mg x kg(-1) x h(-1) for 4 h. Dosage E was M-6-G combined with morphine (doses A + D). Dosage F was a placebo. The analgesic effects of M-6-G and morphine were measured before administration of the bolus and after 3.5 h using an experimental pain model based on pain-related cortical potentials and pain ratings after specific stimulation of the nasal nociceptor with short pulses of gaseous carbon dioxide. Results Morphine significantly reduced subjective and objective pain correlates compared with placebo. In contrast, M-6-G produced no statistically significant effects. The addition of M-6-G to morphine did not increase the effects of morphine. Morphine produced significantly more side effects than M-6-G. Conclusion After short-term intravenous administration at doses that produce plasma concentrations of M-6-G similar to those seen after administration of morphine, M-6-G had no analgesic effects in the present placebo-controlled study in healthy volunteers.
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FANG, JUNSHENG, MINGCHU GAO, and ROGER R. SMITH. "THE RELATIVE WEAK ASYMPTOTIC HOMOMORPHISM PROPERTY FOR INCLUSIONS OF FINITE VON NEUMANN ALGEBRAS." International Journal of Mathematics 22, no. 07 (July 2011): 991–1011. http://dx.doi.org/10.1142/s0129167x11007203.
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A triple of finite von Neumann algebras B ⊆ N ⊆ M is said to have the relative weak asymptotic homomorphism property if there exists a net of unitary operators {uλ}λ∈Λ in B such that [Formula: see text] for all x,y ∈ M. We prove that a triple of finite von Neumann algebras B ⊆ N ⊆ M has the relative weak asymptotic homomorphism property if and only if N contains the set of all x ∈ M such that [Formula: see text] for a finite number of elements x1, …, xn in M. Such an x is called a one-sided quasi-normalizer of B, and the von Neumann algebra generated by all one-sided quasi-normalizers of B is called the one-sided quasi-normalizer algebra of B. We characterize one-sided quasi-normalizer algebras for inclusions of group von Neumann algebras and use this to show that one-sided quasi-normalizer algebras and quasi-normalizer algebras are not equal in general. We also give some applications to inclusions L(H) ⊆ L(G) arising from containments of groups. For example, when L(H) is a masa we determine the unitary normalizer algebra as the von Neumann algebra generated by the normalizers of H in G.
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Gyulbudaghian, A. L., N. Baloian, and I. A. Sanchez. "Color-color diagrams in near infrared: (J-H)/(H-K). II." Communications of the Byurakan Astrophysical Observatory 2, no. 1 (2018): 21–26. http://dx.doi.org/10.52526/25792776-2018.2.1-21.
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In the paper the color-color diagrams (J-H)/(H-K) for all stars with visible magnitudes B<11m (for which in the existing catalogs the magnitudes of J, H, K, and also their spectral types and luminosity classes are given) are presented. In the preceding paper the data for luminosity classes I, Ia, Ib, II and III were given. In this paper the data on luminosity classes IV (sub giants) and V (main sequence stars) are given. Among the diagrams of luminosity classes the most interesting are the diagrams for GII and GIV stars, each of these diagrams have two centers of concentrations. For stars of spectral class M the minimal amount of stars is at luminosity class IV, the maximal –at class III, which is not so for other spectral classes: for other classes the maximal amount is at class V. There is a tendency (seen in all diagrams)of increasing of the values of J-H and H-K along the sequence O-B-A-F-G-K-M.
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Kamińska, Aleksandra Maria, and Marcin Strąkowski. "1D portable optical coherence tomography system." Photonics Letters of Poland 10, no. 2 (June 30, 2018): 51. http://dx.doi.org/10.4302/plp.v10i2.823.
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Imaging methods are an expanding branch of technology, which involves data acquisition and analysis of images for research and diagnostics. This paper has been devoted to describe the optical design for one-dimensional, portable optical coherence tomography (OCT) system. The Mach-Zehnder interferometer has been designed in the presented study. Description of the construction and applied hardware solutions have been written. Moreover, a dedicated software tools for signal processing and data acquisition have been developed Full Text: PDF ReferencesStrąkowski, M. R., Pluciński, J., Jędrzejewska-Szczerska, M., Hypszer, R., Maciejewski, M., Kosmowski, B. B., "Polarization sensitive optical coherence tomography for technical materials investigation", Sensors and Actuators A: Physical 142(1), 104-110 (2008). CrossRef J. G. Fujimoto, W. Drexler, Optical Coherence Tomography: Technology and Applications (Biological and Medical Physics, Biomedical Engineering), (New York, Springer 2008). CrossRef Mujat, M., Chan, R. C., Cense, B., Park, B. H., Joo, C., Akkin, T., De Boer, J. F., "Retinal nerve fiber layer thickness map determined from optical coherence tomography images", Opt. Express 13, 9480-9491 (2005). CrossRef Liang, H., Cid, M. G., Cucu, R. G., Dobre, G. M., Podoleanu, A. G., Pedro, J., Saunders, D., "En-face optical coherence tomography-a novel application of non-invasive imaging to art conservation", Opt. Express 13, 6133-6144 (2005). CrossRef Choma, M. A., Sarunic, M. V., Yang, C., Izatt, J. A., "Sensitivity advantage of swept source and Fourier domain optical coherence tomography", Opt. Express 11, 2183-2189 (2003). CrossRef Koyama, T., Marshek, K. M., "Toothed belt drives—past, present and future", Mechanism and machine theory 23(3), 227-241 (1988). CrossRef Ali, M., & Parlapalli, R., "Signal processing overview of optical coherence tomography systems for medical imaging", Texas Instruments, SPRABB9–June (2010). DirectLink B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics, 2nd Edition (New York, Wiley 1991) CrossRef
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Mendelson, Bryan C. "Smithers, B. M., McLeod, G. R., and Little, J. H. Desmoplastic, neural transforming and neurotropic melanoma." Plastic and Reconstructive Surgery 89, no. 2 (February 1992): 392. http://dx.doi.org/10.1097/00006534-199202000-00092.
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McCool, James. "A class of one-relator groups with centre." Bulletin of the Australian Mathematical Society 44, no. 2 (October 1991): 245–52. http://dx.doi.org/10.1017/s0004972700029683.
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Let the group H have presentation where m ≥ 3, pi ≥ 2 and (pi, pj) = 1 if i ≠ j. We show that H is a one-relator group precisely if H can be obtained from a suitable group 〈a, b; ap = bp〉 by repeated applications of a (two-stage) procedure consisting of applying central Nielsen transformations followed by adjoining a root of a generator. We conjecture that any one-relator group G with non-trivial centre and G/G′ not free abelian of rank two can be obtained in the same way from a suitable group 〈a, b; ap = bp〉.
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Hao, Jianqiang, Yunzhan Gong, Jianzhi Sun, and Li Tan. "Use the K-Neighborhood Subgraphs to Compute Canonical Labelings of Graphs." Mathematics 7, no. 8 (August 1, 2019): 690. http://dx.doi.org/10.3390/math7080690.
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This paper puts forward an innovative theory and method to calculate the canonical labelings of graphs that are distinct to N a u t y ’s. It shows the correlation between the canonical labeling of a graph and the canonical labeling of its complement graph. It regularly examines the link between computing the canonical labeling of a graph and the canonical labeling of its o p e n k-n e i g h b o r h o o d s u b g r a p h. It defines d i f f u s i o n d e g r e e s e q u e n c e s and e n t i r e d i f f u s i o n d e g r e e s e q u e n c e. For each node of a graph G, it designs a characteristic m _ N e a r e s t N o d e to improve the precision for calculating canonical labeling. Two theorems established here display how to compute the first nodes of M a x Q ( G ) . Another theorem presents how to determine the second nodes of M a x Q ( G ) . When computing C m a x ( G ) , if M a x Q ( G ) already holds the first i nodes u 1 , u 2 , ⋯ , u i , Diffusion and Nearest Node theorems provide skill on how to pick the succeeding node of M a x Q ( G ) . Further, it also establishes two theorems to determine the C m a x ( G ) of disconnected graphs. Four algorithms implemented here demonstrate how to compute M a x Q ( G ) of a graph. From the results of the software experiment, the accuracy of our algorithms is preliminarily confirmed. Our method can be employed to mine the frequent subgraph. We also conjecture that if there is a node v ∈ S ( G ) meeting conditions C m a x ( G - v ) ⩽ C m a x ( G - w ) for each w ∈ S ( G ) ∧ w ≠ v , then u 1 = v for M a x Q ( G ) .
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Barragán, O., D. Gandolfi, F. Dai, J. Livingston, C. M. Persson, T. Hirano, N. Narita, et al. "K2-141 b." Astronomy & Astrophysics 612 (April 2018): A95. http://dx.doi.org/10.1051/0004-6361/201732217.
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We report on the discovery of K2-141 b (EPIC 246393474 b), an ultra-short-period super-Earth on a 6.7 h orbit transiting an active K7 V star based on data from K2 campaign 12. We confirmed the planet’s existence and measured its mass with a series of follow-up observations: seeing-limited MuSCAT imaging, NESSI high-resolution speckle observations, and FIES and HARPS high-precision radial-velocity monitoring. K2-141 b has a mass of 5.31 ± 0.46 M⊕ and radius of 1.54−0.09+0.10 R⊕, yielding a mean density of 8.00−1.45+1.83 g cm−3 and suggesting a rocky-iron composition. Models indicate that iron cannot exceed ~70% of the total mass. With an orbital period of only 6.7 h, K2-141 b is the shortest-period planet known to date with a precisely determined mass.
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Bishop, Charles M. "Heart mass and the maximum cardiac output of birds and mammals: implications for estimating the maximum aerobic power input of flying animals." Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 352, no. 1352 (April 29, 1997): 447–56. http://dx.doi.org/10.1098/rstb.1997.0032.
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Empirical studies of cardiovascular variables suggest that relative heart muscle mass (relative M h ) is a good indicator of the degree of adaptive specialization for prolonged locomotor activities, for both birds and mammals. Reasonable predictions for the maximum oxygen consumption of birds during flight can be obtained by assuming that avian heart muscle has the same maximum physiological and biomechanical performance as that of terrestrial mammals. Thus, data on M h can be used to provide quantitative estimates for the maximum aerobic power input (aerobic P i, max ) available to animals during intense levels of locomotor activity. The maximum cardiac output of birds and mammals is calculated to scale with respect to M h (g) as 213 M h 0.88±0.04 (ml min −1 ), while aerobic P i,max is estimated to scale approximately as 11 M h 0.88±0.09 (W). In general, estimated inter–species aerobic P i,max , based on M h for all bird species (excluding hummingbirds), is calculated to scale with respect to body mass ( M b in kg) as 81 M b 0.82±0.11 (W). Comparison of family means for M h indicate that there is considerable diversity in aerobic capacity among birds and mammals, for example, among the medium to large species of birds the Tinamidae have the smallest relative M h (0.25 %) while the Otidae have unusually large relative M h (1.6 %). Hummingbirds have extremely large relative M h (2.28 %), but exhibit significant sexual dimorphism in their scaling of M h and flight muscle mass, so that when considering hummingbird flight performance it may be useful to control for sexual differences in morphology. The estimated scaling of aerobic P i,max (based on M h and M b in g) for male and female hummingbirds is 0.51 M b 0.83 ±0.07 and 0.44 M b 0.85± 0.11 (W), respectively. Locomotory muscles are dynamic structures and it might be anticipated that where additional energetic ‘costs’ occur seasonally (e.g. due to migratory fattening or the development of large secondary sexual characteristics) then the relevant cardiac and locomotor musculature might also be regulated seasonally. This is an important consideration, both due to the intrinsic interest of studying muscular adaptation to changes in energy demand, but also as a confounding variable in the practical use of heart rate to estimate the energetics of animals. Haemoglobin concentration (or haematocrit) may also be a confounding variable. Thus, it is concluded that data on the cardiovascular and flight muscle morphology of animals provides essential information regarding the behavioural, ecological and physiological significance of the flight performance of animals.
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Nowak, Georg. "On the distribution of M-tuples of B-numbers." Publications de l'Institut Math?matique (Belgrade) 77, no. 91 (2005): 71–78. http://dx.doi.org/10.2298/pim0591071n.
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In the classical sense, the set B consists of all integers which can be written as a sum of two perfect squares. In other words, these are the values attained by norms of integral ideals over the Gaussian field Q(i). G. J. Rieger (1965) and T. Cochrane, R. E. Dressler (1987) established bounds for the number of pairs (n; n + h), resp., triples (n; n + 1; n + 2) of B-numbers up to a large real parameter x. The present article generalizes these investigations into two directions: The result obtained deals with arbitrary M-tuples of arithmetic progressions of positive integers excluding the trivial case that one of them is a constant multiple of one of the others. Furthermore, the estimate applies to the case of an arbitrary normal extension K of the rational field instead of Q(i).
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Mosleh, Y. Y., L. H. Yousry, and A. Alo-El-Elaa. "Toxicological and biochemical effects of some insecticides on peach fly, Bactrocera zonata (Diptera: Tephritidae)." Plant Protection Science 47, No. 3 (August 9, 2011): 121–30. http://dx.doi.org/10.17221/51/2009-pps.
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The peach fruit fly, Bactrocera zonata (Saunders, Diptera: Tephritidae), has been a serious pest in the last decade attacking a wide range of fruits in Egypt. The toxicity of Malathion, Diazinon, Methoxyfenozide and Lufenuron to adult males and females of B. zonata was studied under laboratory conditions. The results showed that Diazinon was the most toxic among the tested compounds followed by Malathion, Lufenuron and Methoxyfenozide. LC<sub>50</sub> values for adult males and females were 0.20 ppm, 0.09 ppm and 0.02 ppm (for males), 0.91 ppm, 0.14 ppm and 0,01 ppm (for females), respectively. The results showed that the level of glutamic oxaloacetic transaminase (GOT) of treated adult males and females in 24 h, 48 h, and 72 h post treatment increased compared to untreated adults. The highest activities of GOT in treated adult males in 24 h, 48 h, and 72 h were 92.11µM, 101.99µM and 112.21µM pyruvate released × 10<sup>3</sup>/min/g FW (fresh weight), respectively, for Methoxyfenozide LC<sub>10</sub>, and in treated adult females after 24 h, 48 h, and 72 h they were 84.24µM, 94.33µM, and 111.12µM pyruvate released × 10<sup>3</sup>/min/g FW, respectively, for Diazinon LC<sub>25</sub>. The activities of acetylcholine esterase of treated adults decreased compared to untreated adults. The highest activities of acid phosphatase in adult males after 24 h and 48 h were 249.43 µg and 270.52 µg AchI hydrolysed/min/g FW, respectively, for Methoxyfenozide LC<sub>25</sub>. The highest activities of alkaline phosphatase in adult males were 139.04 µg, 175.67 µg, and 199.29 µg phenol × 10<sup>3</sup>/min/g FW for Malathion LC<sub>10</sub> and in adult females they were 123.31 µg, 162.10 µg and 199.59 µg phenol.10<sup>3</sup>/min/g FW, respectively, for Lufenuron LC<sub>25</sub> in 24 h, 48 h, and 72 h post treatment.
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VIÑA, ANDRÉS. "LIFTING HAMILTONIAN LOOPS TO ISOTOPIES IN FIBRATIONS." International Journal of Geometric Methods in Modern Physics 10, no. 10 (October 8, 2013): 1350057. http://dx.doi.org/10.1142/s0219887813500576.
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Let G be a Lie group, H a closed subgroup and M the homogeneous space G/H. Each representation Ψ of H determines a G-equivariant principal bundle [Formula: see text] on M endowed with a G-invariant connection. We consider subgroups [Formula: see text] of the diffeomorphism group Diff (M), such that, each vector field [Formula: see text] admits a lift to a preserving connection vector field on [Formula: see text]. We prove that [Formula: see text]. This relation is applicable to subgroups [Formula: see text] of the Hamiltonian groups of the flag varieties of a semisimple group G. Let MΔ be the toric manifold determined by the Delzant polytope Δ. We put φb for the loop in the Hamiltonian group of MΔ defined by the lattice vector b. We give a sufficient condition, in terms of the mass center of Δ, for the loops φb and [Formula: see text] to be homotopically inequivalent.
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Parshall, Brian J., Leonard L. Scott, and David I. Stewart. "Shifted generic cohomology." Compositio Mathematica 149, no. 10 (August 7, 2013): 1765–88. http://dx.doi.org/10.1112/s0010437x13007331.
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AbstractThe idea that the cohomology of finite groups might be fruitfully approached via the cohomology of ambient semisimple algebraic groups was first shown to be viable in the papers [E. Cline, B. Parshall, and L. Scott, Cohomology of finite groups of Lie type, I, Publ. Math. Inst. Hautes Études Sci. 45 (1975), 169–191] and [E. Cline, B. Parshall, L. Scott and W. van der Kallen, Rational and generic cohomology, Invent. Math. 39 (1977), 143–163]. The second paper introduced, through a limiting process, the notion of generic cohomology, as an intermediary between finite Chevalley group and algebraic group cohomology. The present paper shows that, for irreducible modules as coefficients, the limits can be eliminated in all but finitely many cases. These exceptional cases depend only on the root system and cohomological degree. In fact, we show that, for sufficiently large $r$, depending only on the root system and $m$, and not on the prime $p$ or the irreducible module $L$, there are isomorphisms ${\mathrm{H} }^{m} (G({p}^{r} ), L)\cong {\mathrm{H} }^{m} (G({p}^{r} ), {L}^{\prime } )\cong { \mathrm{H} }_{\mathrm{gen} }^{m} (G, {L}^{\prime } )\cong {\mathrm{H} }^{m} (G, {L}^{\prime } )$, where the subscript ‘gen’ refers to generic cohomology and ${L}^{\prime } $ is a constructibly determined irreducible ‘shift’ of the (arbitrary) irreducible module $L$ for the finite Chevalley group $G({p}^{r} )$. By a famous theorem of Steinberg, both $L$ and ${L}^{\prime } $ extend to irreducible modules for the ambient algebraic group $G$ with ${p}^{r} $-restricted highest weights. This leads to the notion of a module or weight being ‘shifted $m$-generic’, and thus to the title of this paper. Our approach is based on questions raised by the third author in [D. I. Stewart, The second cohomology of simple ${\mathrm{SL} }_{3} $-modules, Comm. Algebra 40 (2012), 4702–4716], which we answer here in the cohomology cases. We obtain many additional results, often with formulations in the more general context of ${ \mathrm{Ext} }_{G({p}^{r} )}^{m} $ with irreducible coefficients.
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Office, Editorial. "Boekresensies/Book reviews." Verbum et Ecclesia 28, no. 2 (November 17, 2007): 742–56. http://dx.doi.org/10.4102/ve.v28i2.356.
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Arnold, B T & Williamson, H G M (eds) 2005. Dictionary of the Old Testament: Historical Books.Nouwen, H 2007. Die terugkeer van die verlore seun. ‘n Ware verhaal oor tuiskoms (vertaal deur Pieter de Villiers).Snyman, G F 2007. Om die Bybel anders te lees. ‘n Etiek van Bybellees.Barnard, M 2006. Liturgie voorbij de liturgische beweging. Zoeter-meerRoberts, C C 2007. Creation and Covenant. The significance of sexual difference in the moral theology of marriage.Stevenson, Peter K & Wright, Stephen I 2005. Preaching the atonement.
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Демидович, Ю. А., and Yu A. Demidovich. "Двухцветные раскраски гиперграфов с большим обхватом." Matematicheskie Zametki 108, no. 2 (2020): 200–214. http://dx.doi.org/10.4213/mzm12463.
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Гиперграф $H=(V,E)$ обладает свойством $B_k$, если существует такая раскраска множества $V$ в два цвета, что в каждом ребре содержится по крайней мере $k$ вершин каждого цвета. Обозначим наименьшее количество ребер $n$-однородного гиперграфа без свойства $B_k$, который либо не содержит циклов длины меньше $g$, либо каждые два ребра которого пересекаются не более чем по $b$ вершинам, через $m_{k,g}(n)$ и $m_{k,b}(n)$ соответственно. В статье получены верхние оценки для этих величин. Как следствие, мы получаем результаты для $m^{*}_k(n)$ - наименьшего числа ребер $n$-однородного простого гиперграфа без свойства $B_k$. Пусть $\Delta(H)$ - максимальная степень вершин гиперграфа $H$. Через $\Delta_k(n,g)$ обозначим такую минимальную степень $\Delta$, что существует $n$-однородный гиперграф $H$ с максимальной степенью $\Delta$ с обхватом не меньше $g$, который не обладает свойством $B_k$. В статье получена верхняя оценка для $\Delta_k(n,g)$. Библиография: 28 названий.
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Ejder, YILMAZ. "H O C A M Prof. Dr. N E C Đ P B Đ L G E1." Ankara Üniversitesi Hukuk Fakültesi Dergisi 57, no. 1 (2008): 1. http://dx.doi.org/10.1501/hukfak_0000000296.
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Popov, N. M. "The chronicle of the society of neuropathologists and psychiatrists at the imperial Kazan University. Protocol of the meeting on November 30." Neurology Bulletin VI, no. 1 (October 29, 2020): 216–18. http://dx.doi.org/10.17816/nb48626.
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It was chaired by prof. H. M. Popov, with secretary M. M. Maevsky; attended by: honorary members: K. A. Arnstein and I. M. Dogel; full members; K. V. Voroshilov, N. A. Mislavsky, N. A. Tolmachev, B. I. Vorotynskiy, V. I. Levchatkin, A. F. Teberg, V. V. Nikolaev, A. G. Klyachkin; guests: Dr. Arkanov, Vvedensky, Yanishevsky.
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Giacomini, Iara Bueno, and Isabel Porto da Silveira. "Resenha: Engaging with the politics of water governance." Monções: Revista de Relações Internacionais da UFGD 8, no. 15 (June 30, 2019): 651–55. http://dx.doi.org/10.30612/rmufgd.v8i15.11535.
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ZWARTEVEEN, M.; KEMERINK‐SEYOUM, J.S.; KOOY, M.; EVERS, J.; GUERRERO, T.A.; BATUBARA, B.; BIZA, A.; BOAKYE‐ANSAH, A.; FABER, S.; CABRERA FLAMINI, A.; CUADRADO‐QUESADA, G.; FANTINI, E.; GUPTA, J.; HASAN, S.; ter HORST, R.; JAMALI, H.; JASPERS, F.; OBANI, P.; SCHWARTZ, K.; SHUBBER, Z.; SMIT, H.; TORIO, P.; TUTUSAUS, M.; WESSELINK, A. Engaging with the politics of water governance. Wiley Interdisciplinary Reviews: Water, v. 4, n. 6, p. 1-9, 2017.
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Мачнев, Дмитрий Александрович, Игорь Владимирович Нечаев, Александр Викторович Введенский, and Олег Александрович Козадеров. "Квантово-химическое моделирование эндофуллеренов металлов подгруппы скандия." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 22, no. 3 (September 23, 2020): 360–72. http://dx.doi.org/10.17308/kcmf.2020.22/2997.
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Эндофуллерены, содержащие один или несколько атомов металла внутри углеродного каркаса (металлофуллерены), представляют большой практический интерес в связи с возможностью создания на их основе эффективных контрастирующих агентов для магнитно-резонансной томографии (МРТ), антиоксидантных и противораковых средств. Данные соединения могут быть также использованы в спинтронике для создания наноразмерных электронных устройств. В настоящей работе в рамках теории функционала плотности произведен расчет структурных, электронных и термодинамических характеристик эндофуллеренов металлов подгруппы скандия с числом инкапсулированных атомов от одного до семи в газовой фазе. Описаны стабильные структуры с симметриямиCs, C2, C3 и Ci, соответствующие позициям, занимаемым атомами металла внутри каркаса фуллерена. Установлен теоретический предел числа атомов металла, при котором структура эндофуллерена сохраняет устойчивость – шесть атомов для скандия, четыре для иттрия и три для лантана. Расчет показывает, что наиболее устойчивыми являются структуры с двумя и тремя инкапсулированными атомами. Описана зависимость между числом инкапсулированных атомов металла и характером распределения электронной плотности. Общий заряд на инкапсулированном металлическом кластере положителен для соединений Me@C60 – Me3@C60, слабо положителен для Me4@C60(отдельные атомы имеют отрицательный заряд) и отрицателен для соединений Me5C60 – Me6@C60. Описан эффект спиновой утечки для структур с основным дублетным спиновым состоянием. Для соединений с тремя и более инкапсулированными атомами данный эффект незначителен, что указывает на нецелесообразность создания контрастирующих агентов для МРТ на их основе.
ЛИТЕРАТУРА
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Romero Domínguez, Leticia, Rafael Ángel Parra Quezada, Juan Luis Jacobo Cuellar, Damaris Leopoldina Ojeda Barrios, Víctor Manuel Guerreo Prieto, Graciela Dolores Ávila Quezada, and Teresita De Jesús Ruiz Anchondo. "Respuesta de portainjertos de manzano a vigor, eficiencia de producción y concentraciones foliar y en fruto de NPK." Revista Mexicana de Ciencias Agrícolas 8, no. 4 (August 4, 2017): 849. http://dx.doi.org/10.29312/remexca.v8i4.12.
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El portainjerto en manzano controla características como vigor, precocidad, eficiencia en el transporte de nutrientes, tamaño y calidad de fruto del cultivar injertado. Actualmente existen nuevos portainjertos con potencial para ser utilizados en México, pero se desconoce su comportamiento; por lo tanto, los objetivos de este trabajo fue conocer el vigor, eficiencia de producción y la concentración de N, P y K en hoja y fruto. La plantación se estableció en 2003, en La Capilla de los Remedios, Chihuahua, para evaluar 11 portainjertos de manzano de diferentes orígenes, PiAu 56- 83, PiAu 51-4, EMLA.26, G.935, G.41, G.16, B.10, J-TE-H, PAJAM2, M.9T337 y B.9, injertados con la variedad Golden Delicious. Los resultados obtenidos indican que los portainjertos con mejor eficiencia de producción fueron los más enanizantes como M.9T337, G.41, J-TE-H, G.935 y G.16. Los portainjertos más vigorosos fueron PiAu 56-83 y PiAu 51-4. El portainjerto G.16 presentó alta concentración de N, P y K en hoja y fruto, mientras que M.9T337 presentó alta concentración para N en hoja. Los portainjertos PiAu 56- 83 y PiAu-51-4 presentaron alta concentración de K en hoja.
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Gorban, V. A., O. V. Khmelenko, A. O. Huslistyj, and O. G. Tetiukha. "Influence of forest vegetation on color, reflectivity and humus content in ordinary chernozems." Питання степового лісознавства та лісової рекультивації земель 48 (October 8, 2019): 25–37. http://dx.doi.org/10.15421/441903.
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The effect of acacia and oak plantations on the color, reflectivity and humus content in ordinary chernozems was investigated. As a result, it was found that among the humus horizons of the studied soils, the darkest are the horizons H1 and H2 of the chernozem under steppe vegetation and oak planting, and the least dark – the horizon H of the chernozem under acacia plantation. These horizons are distinguished by the smallest values of H, S, B, R, G, B, L and the reflectivity and the highest values of C, M, Y, K. Chernozem under oak stands has the greatest variability of color characteristics, the smallest – chernozem under acacia planting and chernozem under the steppe vegetation occupies an intermediate position. In general, the lowest values of H, S, B, R, G, B, L and the highest values of C, M, Y, K are characteristic of the horizons H1 and H2 of chernozem under oak. The highest content of total humus (4.58%) was found in the H1 horizon of chernozem under the steppe vegetation. In the H1 horizon of chernozem under oak planting, the content of total humus is slightly lower (3.76%), but this indicator is the maximum for the soil. The lowest total humus content in the upper humus horizon (2.63%) was found in chernozem under acacia. On the whole, the highest content of total humus is observed in the upper horizons, and its content decreases with depth. The calculation of the correlation coefficients allowed to establish for the soil samples in the air-dry state the existence of a close feedback between the humus content and the values of the color indices H, S, B, R, G, B, L, and, to the greatest extent, the reflectivity (Δρ = ρ650– ρ480 and ρ750). The existence of a direct close relationship was found between humus content and C, M, and K values, and to a certain extent Y. The calculation of correlation coefficients revealed for soil samples in the wet state a close feedback between humus content and H, S, B, R, G, B, L and Y values. The existence of a direct close relationship is found between humus content and color values C, M and K. In general, the effect of oak planting on chernozem is manifested in a greater intensification of the intensity of dark color, a decrease in reflectivity and an increase in the humus content in the upper horizons compared to acacia planting.
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Tomar, Anita, Said Beloul, Ritu Sharma, and Shivangi Upadhyay. "Common fixed point theorems via generalized condition (B) in quasi-partial metric space and applications." Demonstratio Mathematica 50, no. 1 (November 27, 2017): 278–98. http://dx.doi.org/10.1515/dema-2017-0028.
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Abstract The aim of this paper is to introduce generalized condition (B) in a quasi-partial metric space acknowledging the notion of Künzi et al. [Künzi H.-P. A., Pajoohesh H., Schellekens M. P., Partial quasi-metrics, Theoret. Comput. Sci., 2006, 365, 237-246] and Karapinar et al. [Karapinar E., Erhan M.,Öztürk A., Fixed point theorems on quasi-partial metric spaces, Math. Comput.Modelling, 2013, 57, 2442-2448] and to establish coincidence and common fixed point theorems for twoweakly compatible pairs of self mappings. In the sequelwe also answer affirmatively two open problems posed by Abbas, Babu and Alemayehu [Abbas M., Babu G. V. R., Alemayehu G. N., On common fixed points of weakly compatible mappings satisfying generalized condition (B), Filomat, 2011, 25(2), 9-19]. Further in the setting of a quasi-partial metric space, the results obtained are utilized to establish the existence and uniqueness of a solution of the integral equation and the functional equation arising in dynamic programming. Our results are also justified by explanatory examples supported with pictographic validations to demonstrate the authenticity of the postulates.
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Sharma, Yashaswini, Ravikishore Velamuri, John Fagan, and Jim Schaefer. "Full-Spectrum Analysis of Bioactive Compounds in Rosemary (Rosmarinus officinalis L.) as Influenced by Different Extraction Methods." Molecules 25, no. 20 (October 9, 2020): 4599. http://dx.doi.org/10.3390/molecules25204599.
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Rosmarinus officinalis is a potent antioxidant herb rich in polyphenols. Ultra-high-performance liquid chromatography, coupled with electrospray ionization and quadrupole-time of flight mass spectrometry (UHPLC-ESI-QTOF-MS), enables an exhaustive, full-spectrum analysis of the molecular constituents of natural products. The study aimed to develop a rapid UHPLC method to contribute new insights into the phytochemical composition of rosemary and to assess the performance of nine different procedures for extraction. These include fresh tissue homogenization, fresh and dry leaf decoction, and their respective fermentation, Soxhlet extraction, and sonication using water and methanol. Different extraction methods were found to recover quite different groups of polyphenols within 11 min during 20 min of analysis. Soxhlet extraction, yielded very high concentrations of rosmarinic acid (33,491.33 ± 86.29 µg/g), luteolin-7-O-glucoside (209.95 ± 8.78 µg/g), carnosic acid (2915.40 ± 33.23 µg/g), carnosol (22,000.67 ± 77.39 µg/g), and ursolic acid (5144.27 ± 28.68 µg/g). UHPLC-ESI-QTOF-MS enabled the detection of more than 50 polyphenols, including phenolic acids, flavonoids, and terpenoids in the various extracts. Of these, sagerinic acid ([M − H]−m/z 719.16), salvianolic acid A ([M − H]−m/z 493.11) and B ([M − H]−m/z 717.15), and a pentacyclic triterpenoid corosolic acid ([M − H]−m/z 471.34) were detected for the first time in rosemary. Soxhlet extraction was found to be the most efficient method, followed by dry leaf decoction. The UHPLC-ESI-QTOF-MS methodology for the analysis proved to be very efficient in the identification and characterization of targeted and untargeted bioactive molecules in the rosemary.
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Detomi, Eloisa, Marta Morigi, and Pavel Shumyatsky. "BFC-theorems for higher commutator subgroups." Quarterly Journal of Mathematics 70, no. 3 (December 28, 2018): 849–58. http://dx.doi.org/10.1093/qmath/hay068.
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Abstract A BFC-group is a group in which all conjugacy classes are finite with bounded size. In 1954, B. H. Neumann discovered that if G is a BFC-group then the derived group G′ is finite. Let w=w(x1,…,xn) be a multilinear commutator. We study groups in which the conjugacy classes containing w-values are finite of bounded order. Let G be a group and let w(G) be the verbal subgroup of G generated by all w-values. We prove that if |xG|≤m for every w-value x, then the derived subgroup of w(G) is finite of order bounded by a function of m and n. If |xw(G)|≤m for every w-value x, then [w(w(G)),w(G)] is finite of order bounded by a function of m and n.
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Nascimento, Humberto Miranda do. "Capitalismo globalizado e recursos territoriais: fronteiras da acumulação no Brasil contemporâneo." Revista Brasileira de Estudos Urbanos e Regionais 13, no. 2 (November 30, 2011): 171. http://dx.doi.org/10.22296/2317-1529.2011v13n2p171.
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Capitalismo globalizado e recursos territoriais: fronteiras da acumulação no Brasil contemporâneo A. W. B. Almeida, A. Zhouri, A. A. R. Ioris, C. Brandão, C. Bermann, F. M. Hernández, G. N. Bezerra, H.Acselrad, J. A. Paula, K. Laschefski, M. C. N. Coelho, M. A. Monteiro, L. F. N. Garzon, L. H. Cunha e L.J. Wanderley, Rio de Janeiro: Lamparina, 2010.
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Apanasov, Boris. "Hyperbolic topology and bounded locally homeomorphic quasiregular mappings in 3-space." Ukrainian Mathematical Bulletin 16, no. 1 (March 25, 2019): 10–27. http://dx.doi.org/10.37069/1810-3200-2019-16-1-2.
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We use our new type of bounded locally homeomorphic quasiregular mappings in the unit 3-ball to address long standing problems for such mappings, including the Vuorinen injectivity problem. The construction of such mappings comes from our construction of non-trivial compact 4-dimensional cobordisms $M$ with symmetric boundary components and whose interiors have complete 4-dimensional real hyperbolic structures. Such bounded locally homeomorphic quasiregular mappings are defined in the unit 3-ball $B^3\subset \mathbb{R}^3$ as mappings equivariant with the standard conformal action of uniform hyperbolic lattices $\Gamma\subset \operatorname{Isom} H^3$ in the unit 3-ball and with its discrete representation $G=\rho(\Gamma)\subset \operatorname{Isom} H^4 $. Here, $G$ is the fundamental group of our non-trivial hyperbolic 4-cobordism $M=(H^4\cup\Omega(G))/G,$ and the kernel of the homomorphism $\rho\!:\! Gamma\rightarrow G$ is a free group $F_3$ on three generators.
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Bordonskiy, Georgy S., Aleksandr A. Gurulev, Sergey D. Krylov, and Sergey V. Tsyrenzhapov. "Использование микроволновой спектроскопии для изучения состояния переохлажденной воды." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 21, no. 1 (March 5, 2019): 16–23. http://dx.doi.org/10.17308/kcmf.2019.21/712.
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Представлены методики экспериментов для изучения переохлажденной воды с использованием микроволновой спектроскопии. Одна методика связана с получением глубокого переохлаждения воды в порах силикатного материала, другая основана на получении аморфного состояния в образце пресного льда при его пластической деформации. Показаны возможности методик при изучении свойств переохлажденной воды. При атмосферном давлении и температуре –45 °С (на линии Видома) был определен интервал температур, в котором наблюдаются аномалии микроволновых потерь переохлажденной воды, находящейся в порах силикагеля. При пластической деформации поликристаллического льда наблюдали минимум фактора потерь в микроволновом диапазоне на линии Видома.
ЛИТЕРАТУРА
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Tarnopolsky, M. A., M. Bosman, J. R. Macdonald, D. Vandeputte, J. Martin, and B. D. Roy. "Postexercise protein-carbohydrate and carbohydrate supplements increase muscle glycogen in men and women." Journal of Applied Physiology 83, no. 6 (December 1, 1997): 1877–83. http://dx.doi.org/10.1152/jappl.1997.83.6.1877.
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Tarnopolsky, M. A., M. Bosman, J. R. MacDonald, D. Vandeputte, J. Martin, and B. D. Roy. Postexercise protein-carbohydrate and carbohydrate supplements increase muscle glycogen in men and women. J. Appl. Physiol. 83(6): 1877–1883, 1997.—We have previously demonstrated that women did not increase intramuscular glycogen in response to an increased percent of dietary carbohydrate (CHO) (from 60 to 75% of energy intake) (M. A. Tarnopolsky, S. A. Atkinson, S. M. Phillips, and J. D. MacDougall. J. Appl. Physiol. 78: 1360–1368, 1995). CHO and CHO-protein (Pro) supplementation postexercise can potentiate glycogen resynthesis compared with placebo (K. M. Zawadzki, B. B. Yaspelkis, and J. L. Ivy. J. Appl. Physiol. 72: 1854–1859, 1992). We studied the effect of isoenergetic CHO and CHO-Pro-Fat supplements on muscle glycogen resynthesis in the first 4 h after endurance exercise (90 min at 65% peak O2 consumption) in trained endurance athletes (men, n= 8; women, tested in midfollicular phase, n = 8). Each subject completed three sequential trials separated by 3 wk; a supplement was provided immediately and 1-h postexercise: 1) CHO (0.75 g/kg) + Pro (0.1 g/kg) + Fat (0.02 g/kg), 2) CHO (1 g/kg), and 3) placebo (Pl; artificial sweetener). Subjects were given prepackaged, isoenergetic, isonitrogenous diets, individualized to their habitual diet, for the day before and during the exercise trial. During exercise, women oxidized more lipid than did men ( P< 0.05). Both of the supplement trials resulted in greater postexercise glucose and insulin compared with Pl ( P < 0.01), with no gender differences. Similarly, both of these trials resulted in increased glycogen resynthesis (37.2 vs. 24.6 mmol ⋅ kg dry muscle−1 ⋅ h−1, CHO vs. CHO-Pro-Fat, respectively) compared with Pl (7.5 mmol ⋅ kg dry muscle−1 ⋅ h−1; P < 0.001) with no gender differences. We conclude that postexercise CHO and CHO-Pro-Fat nutritional supplements can increase glycogen resynthesis to a greater extent than Pl for both men and women.
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Szopa, Agnieszka, Michał Dziurka, Angelika Warzecha, Paweł Kubica, Marta Klimek-Szczykutowicz, and Halina Ekiert. "Targeted Lignan Profiling and Anti-Inflammatory Properties of Schisandra rubriflora and Schisandra chinensis Extracts." Molecules 23, no. 12 (November 27, 2018): 3103. http://dx.doi.org/10.3390/molecules23123103.
Full textAbstract:
Schisandra rubriflora is a dioecious plant of increasing importance due to its lignan composition, and therefore, possible therapeutic properties. The aim of the work was lignan profiling of fruits, leaves and shoots of female (F) and male (M) plants using UHPLC-MS/MS. Additionally, the anti-inflammatory activity of plant extracts and individual lignans was tested in vitro for the inhibition of 15-lipooxygenase (15-LOX), phospholipases A2 (sPLA2), cyclooxygenase 1 and 2 (COX-1; COX-2) enzyme activities. The extracts of fruits, leaves and shoots of the pharmacopoeial species, S. chinensis, were tested for comparison. Twenty-four lignans were monitored. Lignan contents in S. rubriflora fruit extracts amounted to 1055.65 mg/100 g DW and the dominant compounds included schisanhenol, aneloylgomisin H, schisantherin B, schisandrin A, gomisin O, angeloylgomisin O and gomisin G. The content of lignan in leaf extracts was 853.33 (F) and 1106.80 (M) mg/100 g DW. Shoot extracts were poorer in lignans—559.97 (F) and 384.80 (M) mg/100 g DW. Schisantherin B, schisantherin A, 6-O-benzoylgomisin O and angeloylgomisin H were the dominant compounds in leaf and shoot extracts. The total content of detected lignans in S. chinensis fruit, leaf and shoot extracts was: 1686.95, 433.59 and 313.83 mg/100 g DW, respectively. Gomisin N, schisandrin A, schisandrin, gomisin D, schisantherin B, gomisin A, angeloylgomisin H and gomisin J were the dominant lignans in S. chinensis fruit extracts were. The results of anti-inflammatory assays revealed higher activity of S. rubriflora extracts. Individual lignans showed significant inhibitory activity against 15-LOX, COX-1 and COX-2 enzymes.
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DELVAUX, L., and A. VAN DAELE. "ALGEBRAIC QUANTUM HYPERGROUPS II: CONSTRUCTIONS AND EXAMPLES." International Journal of Mathematics 22, no. 03 (March 2011): 407–34. http://dx.doi.org/10.1142/s0129167x11006830.
Full textAbstract:
Let G be a group and let A be the algebra of complex functions on G with finite support. The product in G gives rise to a coproduct Δ on A making the pair (A,Δ) a multiplier Hopf algebra. In fact, because there exist integrals, we get an algebraic quantum group as introduced and studied in [A. Van Daele, Adv. Math.140 (1998) 323]. Now let H be a finite subgroup of G and consider the subalgebra A1 of functions in A that are constant on double cosets of H. The coproduct in general will not leave this algebra invariant but we can modify Δ and define Δ1 as [Formula: see text] where f ∈ A1, p,q ∈ G and where n is the number of elements in the subgroup H. Then Δ1 will leave the subalgebra invariant (in the sense that the image is in the multiplier algebra M(A1 ⊗ A1) of the tensor product). However, it will no longer be an algebra map. So, in general we do not have an algebraic quantum group but a so-called algebraic quantum hypergroup as introduced and studied in [L. Delvaux and A. Van Daele, Adv. Math.226 (2011) 1134–1167]. Group-like projections in a *-algebraic quantum group A (as defined and studied in [M. B. Landstad and A. Van Daele, arXiv:math.OA/0702458v1]) give rise, in a natural way, to *-algebraic quantum hypergroups, very much like subgroups do as above for a *-algebraic quantum group associated to a group (again see [M. B. Landstad and A. Van Daele, arXiv:math.OA/0702458v1]). In this paper we push these results further. On the one hand, we no longer assume the *-structure as in [M. B. Landstad and A. Van Daele, arXiv:math.OA/0702458v1] while on the other hand, we allow the group-like projection to belong to the multiplier algebra M(A) of A and not only to A itself. Doing so, we not only get some well-known earlier examples of algebraic quantum hypergroups but also some interesting new ones.
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Muñoz-Andrade, Juan Daniel. "On the Phenomenology and Mechanics of Super Plastic Flow in Advanced Structural Materials." Materials Science Forum 551-552 (July 2007): 147–52. http://dx.doi.org/10.4028/www.scientific.net/msf.551-552.147.
Full textAbstract:
In connection with ancient and recent view on cosmology, it is interesting to note that our universe could be a spherical crystal and it moves as a crystal in a relative position with others spherical universes, where the Burgers vector for cellular dislocations dynamics is the Hubble length: λH=1.32x1026m. The expansion process of this polycrystalline spatially extended system obey the hyperbolic granular flow, which it is due to an accelerated motion manifested during the deformation process of super plastic advanced structural universes in a similar behaviour of super plastic advanced structural materials. Consequently, in this work the phenomenology and mechanics of super plastic flow are analyzed in the context of the unified interpretation of Hubble flow, plastic flow and super plastic flow, where the combination of fundamentals constants with the natural Planck length, allows obtain in a closed agreement with the Orowan equation the magnitude of the nature Burgers vector of dislocation in the cosmic structure for the universe as follow: 1.62 10 . 35 3 0 x m c H G b P − ⊥ ⊥ ⊥ = = = = h λ ρ ν Where, b⊥ = magnitude of the nature Burgers vector for the universe (b⊥ = 1.62x10-35m), λP = Planck length (λP = 1.62x10-35m), H0 = the Hubble parameter (H0=70 (km/sec)/Mpc = 2.26854593 x10-18s-1), ρ⊥ = dislocation density (ρ⊥ = 1.273x1011 dislocations/m2) in the universe. ν⊥ = the recession velocity of galaxies related with dislocations dynamics in the cosmic structure (ν⊥ = 1100x103 m/s, it is the recession velocity of the Virgo super cluster at 16 Mpc distance). h = h / 2π . Here h = the Planck constant (h = 6.6262x10-34 Joule-s), G = the Newtonian constant (G = 6.67259x10-11 m3/kg s2) and c = the speed of light (c = 299 792 458 m/s) [1-3].