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1

KAMIMURA, Koya, Tsuyoshi SAITO, Kazuho SUZUKI, and Tatsuhiko SAEKI. "CHARACTERIZATION OF C-A-S-H GEL FORMED IN C-A-S-H/N-A-S-H GEL BLENDS." Cement Science and Concrete Technology 76, no. 1 (March 31, 2023): 485–93. http://dx.doi.org/10.14250/cement.76.485.

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2

Nowroozi, A., H. Roohi, M. Poorsargol, P. Mohammadzadeh Jahani, H. Hajiabadi, and H. Raissi. "NH···S and SH···N intramolecular hydrogen bond in β-thioaminoacrolein: A quantum chemical study." International Journal of Quantum Chemistry 111, no. 12 (June 10, 2010): 3008–16. http://dx.doi.org/10.1002/qua.22615.

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3

Anderson, Michael R. "A matrix algebra decomposition of H(S n,S m)." Communications in Algebra 22, no. 15 (January 1994): 6091–105. http://dx.doi.org/10.1080/00927879408825180.

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4

Wang, Yanru, Yubin Cao, Zuhua Zhang, Jizhong Huang, Peng Zhang, Yuwei Ma, and Hao Wang. "Study of acidic degradation of alkali-activated materials using synthetic C-(N)-A-S-H and N-A-S-H gels." Composites Part B: Engineering 230 (February 2022): 109510. http://dx.doi.org/10.1016/j.compositesb.2021.109510.

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5

Gomez-Zamorano, Lauren, Magdalena Balonis, Bartu Erdemli, Narayanan Neithalath, and Gaurav Sant. "C-(N)-S-H and N-A-S-H gels: Compositions and solubility data at 25°C and 50°C." Journal of the American Ceramic Society 100, no. 6 (March 25, 2017): 2700–2711. http://dx.doi.org/10.1111/jace.14715.

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6

O, Tulsi Paudel, Wen Ya Li, Yeong Gug Kim, and Yunho Ji. "A S tudy o n Non-Muslim Consumer s' P urchase Intention of H alal Food in Korea." GLOBAL BUSINESS FINANCE REVIEW 29, no. 2 (March 30, 2024): 1–16. http://dx.doi.org/10.17549/gbfr.2024.29.2.1.

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Purpose: The demand for halal foods among non-Muslim customers is increasing in non-Muslim countries. This study investigates South Korean non-Muslim customers' halal food purchase intentions using an extended model of goal-directed behavior (EMGB). Design/methodology/approach: The study model combines halal awareness with the existing model of goal-directed behavior (MGB) variables and examines the moderating effect of word of mouth (WOM). Findings: The results indicated that attitudes, positive anticipated emotions, perceived behavioral control, and halal awareness influenced non-Muslim consumers' desire to purchase halal foods. Desire and halal awareness also predicted purchase intentions. Moreover, word of mouth (WOM) had a significant moderating effect on the desire to purchase intentions of halal foods. Research limitations/implications: The results of this study can be utilized in managing the halal food business by providing information on non-Muslim consumer characteristics. Originality/value: This study aims to provide implications for the globalization of halal food by identifying specific variables that affect the halal food consumption behavior of non-Muslim consumers.
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7

VILLASTRIGO, ADRIÁN, IGNACIO RIBERA, MICHAËL MANUEL, ANDRÉS MILLÁN, and HANS FERY. "A new classification of the tribe Hygrotini Portevin, 1929 (Coleoptera: Dytiscidae: Hydroporinae)." Zootaxa 4317, no. 3 (September 5, 2017): 499. http://dx.doi.org/10.11646/zootaxa.4317.3.4.

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The tribe Hygrotini Portevin, 1929 is currently composed of four genera, Heroceras Guignot, 1950, Herophydrus Sharp, 1880, Hygrotus Stephens, 1828 (with two subgenera, Coelambus Thomson, 1860, and Hygrotus s. str.), and Hyphoporus Sharp, 1880. A recent molecular phylogeny of the tribe with ca. 45% of the 137 described species of Hygrotini, including the type species of all genus-level taxa, revealed extended para- or polyphyly of the current genera and subgenera (Villastrigo et al., Zoologica Scripta, in press), for which reason a new classification of the tribe Hygrotini is proposed. Within Hygrotini only two genera are recognised: Clemnius n. gen. (with two subgenera: Clemnius s. str. with type species Hyphydrus decoratus Gyllenhal, 1810, and Cyclopius n. subgen. with type species Hydroporus acaroides LeConte, 1855) and Hygrotus (with four subgenera: Coelambus, Hygrotus s. str., Hyphoporus n. stat. and Leptolambus n. subgen. with type species Dytiscus impressopunctatus Schaller, 1783). Two genera are synonymised under Hygrotus s. str., Herophydrus n. syn. and Heroceras n. syn. The following 67 new combinations, for species thus far treated under the genera Heroceras, Herophydrus, Hygrotus and Hyphoporus, result from the new classification: Clemnius (s. str.) berneri (Young & Wolfe, 1984) n. comb., Clemnius (s. str.) decoratus (Gyllenhal, 1810) n. comb., Clemnius (s. str.) hydropicus (LeConte, 1852) n. comb., Clemnius (s. str.) laccophilinus (LeConte, 1878) n. comb., Clemnius (s. str.) sylvanus (Fall, 1917) n. comb., Clemnius (Cyclopius) acaroides (LeConte, 1855) n. comb., Clemnius (Cyclopius) farctus (LeConte, 1855) n. comb., Clemnius (Cyclopius) marginipennis (Blatchley, 1912) n. comb., Hygrotus (s. str.) assimilis (Régimbart, 1895) n. comb., H. (s. str.) bilardoi (Biström & Nilsson, 2002) n. comb., H. (s. str.) capensis (Régimbart, 1895) n. comb., H. (s. str.) confusus (Régimbart, 1895) n. comb., H. (s. str.) descarpentriesi (Peschet, 1923) n. comb., H. (s. str.) discrepatus (Guignot, 1954) n. comb., H. (s. str.) endroedyi (Biström & Nilsson, 2002) n. comb., H. (s. str.) gigantoides (Biström & Nilsson, 2002) n. comb., H. (s. str.) gigas (Régimbart, 1895) n. comb., H. (s. str.) goldschmidti (Pederzani & Rocchi, 2009) n. comb., H. (s. str.) gschwendtneri (Omer-Cooper, 1957) n. comb., H. (s. str.) hyphoporoides (Régimbart, 1895) n. comb., H. (s. str.) ignoratus (Gschwendtner, 1933) n. comb., H. (s. str.) inquinatus (Boheman, 1848) n. comb., H. (s. str.) janssensi (Guignot, 1952) n. comb., H. (s. str.) kalaharii (Gschwendtner, 1935) n. comb., H. (s. str.) morandi (Guignot, 1952) n. comb., H. (s. str.) muticus (Sharp, 1882) n. comb., H. (s. str.) natator (Biström & Nilsson, 2002) n. comb., H. (s. str.) nigrescens (Biström & Nilsson, 2002) n. comb., H. (s. str.) nodieri (Régimbart, 1895) n. comb., H. (s. str.) obscurus (Sharp, 1882) n. comb., H. (s. str.) obsoletus (Régimbart, 1895) n. comb., H. (s. str.) ovalis (Gschwendtner, 1932) n. comb., H. (s. str.) pallidus (Omer-Cooper, 1931) n. comb., H. (s. str.) pauliani (Guignot, 1950) n. comb., H. (s. str.) quadrilineatus (Régimbart, 1895) n. comb., H. (s. str.) reticulatus (Pederzani & Rocchi, 2009) n. comb., H. (s. str.) ritsemae (Régimbart, 1889) n. comb., H. (s. str.) rohani (Peschet, 1924) n. comb., H. (s. str.) rufus (Clark, 1863) n. comb., H. (s. str.) sjostedti (Régimbart, 1908) n. comb., H. (s. str.) spadiceus (Sharp, 1882) n. comb., H. (s. str.) sudanensis (Guignot, 1952) n. comb., H. (s. str.) travniceki (Šťastný, 2012) n. comb., H. (s. str.) tribolus (Guignot, 1953) n. comb., H. (s. str.) variabilis secundus (Régimbart, 1906) n. comb., H. (s. str.) variabilis variabilis (Guignot, 1954) n. comb., H. (s. str.) verticalis (Sharp, 1882) n. comb., H. (s. str.) vittatus (Régimbart, 1895) n. comb., H. (s. str.) wewalkai (Biström & Nilsson, 2002) n. comb., Hygrotus (Hyphoporus) anitae (Vazirani, 1969) n. comb., H. (Hyphoporus) aper (Sharp, 1882) n. comb., H. (Hyphoporus) bengalensis (Severin, 1890) n. comb., H. (Hyphoporus) bertrandi (Vazirani, 1969) n. comb., H. (Hyphoporus) caliginosus (Régimbart, 1899) n. comb., H. (Hyphoporus) dehraduni (Vazirani, 1969) n. comb., H. (Hyphoporus) elevatus (Sharp, 1882) n. comb., H. (Hyphoporus) geetae (Vazirani, 1969) n. comb., H. (Hyphoporus) josephi (Vazirani, 1969) n. comb., H. (Hyphoporus) kempi (Gschwendtner, 1936) n. comb., H. (Hyphoporus) montanus (Régimbart, 1899) n. comb., H. (Hyphoporus) nilghiricus (Régimbart, 1903) n. comb., H. (Hyphoporus) oudomxai (Brancucci & Biström, 2013) n. comb., H. (Hyphoporus) pacistanus (Guignot, 1959) n. comb., H. (Hyphoporus) pugnator (Sharp, 1890) n. comb., H. (Hyphoporus) severini (Régimbart, 1892) n. comb., H. (Hyphoporus) subaequalis (Vazirani, 1969) n. comb., H. (Hyphoporus) tonkinensis (Régimbart, 1899) n. comb.
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8

Williamson, Trevor, Joonkyoung Han, Lynn Katz, Gaurav Sant, and Maria Juenger. "Method for experimentally determining N-A-S-(H) solubility." RILEM Technical Letters 3 (February 19, 2019): 104–13. http://dx.doi.org/10.21809/rilemtechlett.2018.63.

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Inorganic polymer binders, also sometimes called geopolymers or alkali-activated cements, can serve as an alternative to ordinary portland cement (OPC) in concrete. The development of thermodynamic models to predict phase development and, ultimately, engineering properties, of inorganic polymer binders is an important step toward enabling their widespread use. However, such models require self-consistent solubility data of the primary phase in inorganic polymer binders, sodium aluminosilicate hydrate(s). To date, there is very little solubility information available for this phase. Here, a rigorous method for synthesizing sodium aluminosilicate hydrate(s) of controlled composition, and for measuring its solubility is presented. This approach allows complete stoichiometric control over the (initial) solution composition to elucidate directly the development of N-A-S-H composition as it relates to a given solution composition. A review of previous literature related to the solubility of other cementitious materials is presented, and the need for thermodynamic data is discussed. Finally, a sample calculation is presented for determining the solubility product (Ksp) of a laboratory synthesized sodium aluminosilicate hydrate.
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9

Walters, Marc A., Cara L. Roche, Arnold L. Rheingold, and Scott W. Kassel. "N-H···S Hydrogen Bonds in a Ferredoxin Model." Inorganic Chemistry 44, no. 11 (May 2005): 3777–79. http://dx.doi.org/10.1021/ic048208z.

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10

O'Brien, Michael. "A‐c‐h‐e‐s‐o‐n spells management!" Journal of Management in Medicine 3, no. 1 (January 1988): 41–48. http://dx.doi.org/10.1108/eb060487.

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11

Gonzalez, Paulina E., Hemant K. Sharma, Sanchita Chakrabarty, Alejandro Metta-Magaña, and Keith H. Pannell. "Triethylsiloxymethyl-N,N-dimethylamine, Et3SiOCH2NMe2: A Dimethylaminomethylation (Mannich) Reagent for O-H, S-H, P-H and Aromatic C-H Systems." European Journal of Organic Chemistry 2017, no. 37 (October 9, 2017): 5610–16. http://dx.doi.org/10.1002/ejoc.201700902.

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12

Walkley, B., J. L. Provis, R. San Nicolas, M. A. Sani, and J. S. J. van Deventer. "Stoichiometrically controlled C–(A)–S–H/N–A–S–H gel blends via alkali-activation of synthetic precursors." Advances in Applied Ceramics 114, no. 7 (August 3, 2015): 372–77. http://dx.doi.org/10.1179/1743676115y.0000000057.

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13

Ould Chbih, Ahmed, Mohamed Ben Faraj Ben Maaouia, and Mamadou Sanghare. "Localization in the Category $COMP(G_{r}(A-Mod))$ of Complex associated to the Category $G_{r}(A-Mod)$ of Graded left $A-$modules over a Graded Ring." European Journal of Pure and Applied Mathematics 16, no. 3 (July 30, 2023): 1913–39. http://dx.doi.org/10.29020/nybg.ejpam.v16i3.4753.

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The main results of this paper are : \\If $A=\displaystyle{\bigoplus_{n\in\mathbb{Z}}}A_{n}$ is a graded duo-ring, $S_{H}$ is a partformed of regulars homogeneous elements of $A$, $\overline{S}_{H}$ is the homogeneous multiplicativelyclosed subset of $A$generated by $S_{H}$, then: \begin{enumerate}\item The relation $C_{H}(-) :G_{r}(\overline{S}_{H}^{-1}A-Mod)\longrightarrow COMP(G_{r}(\overline{S}_{H}^{-1}A-Mod))$ which that for all graded left$\overline{S}_{H}^{-1}A-$module $\overline{S}_{H}^{-1}M$ of $G_{r}(\overline{S}_{H}^{-1}A-Mod)$we correspond the associate complex sequence $(\overline{S}_{H}^{-1}M)_{*}$ to a graded $\overline{S}_{H}^{-1}A-$module$\overline{S}_{H}^{-1}M$ and for all graded morphism of graded left $\overline{S}_{H}^{-1}A-$modules$\overline{S}_{H}^{-1}f : \overline{S}_{H}^{-1}M\longrightarrow \overline{S}_{H}^{-1}N$ of degree $k$we correspond the associated complex chain$(\overline{S}_{H}^{-1}f)_{*}^{k}$ to a morphism of graded left $\overline{S}_{H}^{-1}A-$module$\overline{S}_{H}^{-1}f : \overline{S}_{H}^{-1}M\longrightarrow \overline{S}_{H}^{-1}N$is an additively exact covariant functor.\item The relation $(C_{H}\circ\overline{S}_{H}^{-1})(-) :G_{r}(A-Mod)\longrightarrow COMP(G_{r}(\overline{S}_{H}^{-1}A-Mod))$ which that for all graded left$A-$module $M$ of $G_{r}(A-Mod)$we correspond the associate complex sequence $(C_{H}\circ\overline{S}_{H}^{-1})(M)=(\overline{S}_{H}^{-1}M)_{*}$ to a graded $A-$module$M$ and for all graded morphism of graded left $A-$modules$f : M\longrightarrow N$ of degree $k$we correspond the associated complex chain$(C_{H}\circ\overline{S}_{H}^{-1})(f)=(\overline{S}_{H}^{-1}f)_{*}^{k}$ to a morphism of graded left $A-$module$f : M\longrightarrow N$is an additively exact covariant functor. \item \noindent For all $n\in \mathbb{Z}$ fixed and for all $ M \in G_{r}(A-Mod)$ we have:$$\overline{S}^{-1}_{H}((H_{n}\circ C)(M))\cong H_{n}(C_{H}\circ \overline{S}^{-1}_{H})(M)).$$\end{enumerate}
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14

Walkley, Brant, Rackel San Nicolas, Marc-Antoine Sani, Gregory J. Rees, John V. Hanna, Jannie S. J. van Deventer, and John L. Provis. "Phase evolution of C-(N)-A-S-H/N-A-S-H gel blends investigated via alkali-activation of synthetic calcium aluminosilicate precursors." Cement and Concrete Research 89 (November 2016): 120–35. http://dx.doi.org/10.1016/j.cemconres.2016.08.010.

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15

Lai, Y. S. "An algorithm for solving the matrix polynomial equation B(s)D(s)+A(s)N(s)=H(s)." IEEE Transactions on Circuits and Systems 36, no. 8 (1989): 1087–89. http://dx.doi.org/10.1109/31.192417.

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16

Nzumile, Jailos, and Boniphase Nyamweru. "P E R F O R M A N C E O F W E I G H I N G S C A L E S I N S T A L L E D I N S E L E C T E D H O S P I T A L S A N D H E A L T H C A R E C E N T R E S I N D A R E S S A L A A M." Business Education Journal 11, no. 1 (January 24, 2022): 1–11. http://dx.doi.org/10.54156/cbe.bej.11.1.318.

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Calibration and verification of weighing scales installed in hospitals and healthcare centres is indispensable to ensure its performance accuracy. A study was conducted to ascertain the performance of weighing scales in Ilala, Kinondoni, and Temeke hospitals located in Dar es Salaam region. The study administered fifty questionnaires to gather data from individuals working in these hospitals and healthcare centres as well as performing actual test of the installed scales. During the actual test, it was found that 38% of the scales delivered correct results, 48% were partially correct and 14% were incorrect. It was also found that 18% of tested scales were verified and stamped while 82% were neither stamped nor verified. Furthermore, the findings from the respondents show that 80% of the scales have not been repaired since they were purchased, 2% were repaired only once a year, while 18% were repaired at least once a year. It is concluded that the overall performance of the hospitals’ weighing scales was notsatisfactory. This is because only 38% of the scales delivered correct results while 62% delivered uncertain results. It is recommended that hospitals and healthcare centres should purchase weighing scales from the approved supplier by the Weight and Measures Agency (WMA) as this will minimize the poor performance of the scales used. It is also recommended that the Weight and Measures Agency (WMA) should establish a regulation that subjects the scales to metrological inspection and control, as well as raising awareness of the users of the scales on their proper use and storage
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17

HO, JEFFREY D., MARK LINDQUIST, LAURA BULTMAN, and CHAD TORSTENSON. "A PATHY I S N OT W ELCOME H ERE." Prehospital Emergency Care 7, no. 3 (January 2003): 414–16. http://dx.doi.org/10.1080/10903120390936734.

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18

García-Lodeiro, Ines, A. Fernández-Jiménez, M. Teresa Blanco, and Angel Palomo. "FTIR study of the sol–gel synthesis of cementitious gels: C–S–H and N–A–S–H." Journal of Sol-Gel Science and Technology 45, no. 1 (November 14, 2007): 63–72. http://dx.doi.org/10.1007/s10971-007-1643-6.

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19

Marek, Jaromír, Zdeněk Trávníček, and Šárka Čermáková. "(N,N,N′,N′′,N′′-Pentamethyldiethylenetriamine-κ3 N,N′,N′′)(trithiocyanurato-κ2 N,S)zinc(II)." Acta Crystallographica Section E Structure Reports Online 63, no. 3 (February 14, 2007): m725—m727. http://dx.doi.org/10.1107/s1600536807006484.

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The structure of the title compound, [Zn(C9H23N3)(C3HN3S3)], consists of discrete molecules connected by N—H...S hydrogen bonds into centrosymmetric dimers. The ZnII atom is pentacoordinated in a deformed trigonal–bipyramidal geometry by three N atoms of a tridentate N,N,N′,N′′,N′′-pentamethyldiethylenetriamine ligand, and one S and one N atoms of a trithiocyanurate dianion bonded as a bidentate ligand. The crystal structure is further stabilized by close contacts of the types C—H...S and C—H...N.
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20

Wang, Yanru, Yubin Cao, Zuhua Zhang, Peng Zhang, Yuwei Ma, Aiguo Wang, and Hao Wang. "Intrinsic sulfuric acid resistance of C-(N)-A-S-H and N-A-S-H gels produced by alkali-activation of synthetic calcium aluminosilicate precursors." Cement and Concrete Research 165 (March 2023): 107068. http://dx.doi.org/10.1016/j.cemconres.2022.107068.

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21

Kreaunakpan, Janjira, Kittipong Chainok, Nathan R. Halcovitch, Edward R. T. Tiekink, Teerapong Pirojsirikul, and Saowanit Saithong. "Crystal and molecular structures of a binuclear mixed ligand complex of silver(I) with thiocyanate and 1H-1,2,4-triazole-5(4H)-thione." Acta Crystallographica Section E Crystallographic Communications 76, no. 1 (January 1, 2020): 42–47. http://dx.doi.org/10.1107/s2056989019016359.

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The complete molecule of the binuclear title complex, bis[μ-1H-1,2,4-triazole-5(4H)-thione-κ2 S:S]bis{(thiocyanato-κS)[1H-1,2,4-triazole-5(4H)-thione-κS]silver(I)}, [Ag2(SCN)2(C2H3N3S)4], is generated by crystallographic inversion symmetry. The independent triazole-3-thione ligands employ the exocyclic-S atoms exclusively in coordination. One acts as a terminal S-ligand and the other in a bidentate (μ2) bridging mode to provide a link between two AgI centres. Each AgI atom is also coordinated by a terminal S-bound thiocyanate ligand, resulting in a distorted AgS4 tetrahedral coordination geometry. An intramolecular N—H...S(thiocyanate) hydrogen bond is noted. In the crystal, amine-N—H...S(thione), N—H...N(triazolyl) and N—H...N(thiocyanate) hydrogen bonds give rise to a three-dimensional architecture. The packing is consolidated by triazolyl-C—H...S(thiocyanate), triazolyl-C—H...N(thiocyanate) and S...S [3.2463 (9) Å] interactions as well as face-to-face π–π stacking between the independent triazolyl rings [inter-centroid separation = 3.4444 (15) Å]. An analysis of the calculated Hirshfeld surfaces shows the three major contributors are due to N...H/H...N, S...H/H...S and C...H/H...C contacts, at 35.8, 19.4 and 12.7%, respectively; H...H contacts contribute only 7.6% to the overall surface.
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22

Ballico, Edoardo. "Projective Curves With Nice Normal Bundles and Containing a Prescribed Subset of a Hyperplane." Sarajevo Journal of Mathematics 17, no. 2 (March 3, 2022): 175–90. http://dx.doi.org/10.5644/sjm.17.02.05.

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Fix a hyperplane $H\subset \mathbb{P}^n$, $n>3$, and a finite set $S\subset H$. We give conditions on the integers $d$, $g$ and $\sharp (S)$ such that there exists a smooth and connected curve $X\subset \mathbb{P}^n$ with $\deg (X) =d$, $p_a(X)=g$ and $S\subset X\cap H$. When $d=\sharp (S)$ we may take $g$ up to order $2d/n$, $d\gg 0$, when $S$ is in linear general position. We also prove the existence of $X$ with $h^1(N_X(-1))=0$ if $n\ge 8$, $g$ is odd and $2d\ge (n-3)g+n+11$.
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23

CHENG, QING-MING, YIJUN HE, and HAIZHONG LI. "SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE." Glasgow Mathematical Journal 51, no. 2 (May 2009): 413–23. http://dx.doi.org/10.1017/s0017089509005187.

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AbstractLet M be an n-dimensional closed hypersurface with constant mean curvature H satisfying |H| ≤ ϵ(n) in a unit sphere Sn+1, n ≤ 7, and S the square of the length of the second fundamental form of M. There exists a constant δ(n, H) > 0, which depends only on n and H, such that if S0 ≤ S ≤ S0 + δ(n, H), then S ≡ S0 and M is isometric to a Clifford hypersurface, where ϵ(n) is a sufficiently small constant depending on n and $S_0=n+\frac{n^3}{2(n-1)}H^2+\frac{n(n-2)}{2(n-1)}\sqrt{n^2H^4+4(n-1)H^2}$.
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24

Trávníček, Zdeněk, Jaromír Marek, and Šárka Čermáková. "μ-Trithiocyanurato-κ4 N 1,S 2:N 3,S 4-bis[(N,N,N′,N′′,N′′-pentamethyldiethylenetriamine-κ3 N,N′,N′′)zinc(II)] perchlorate monohydrate." Acta Crystallographica Section E Structure Reports Online 63, no. 3 (February 21, 2007): m795—m797. http://dx.doi.org/10.1107/s1600536807007349.

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In the title compound, [Zn2(C3N3S3)(C9H23N3)2]ClO4·H2O, the dinuclear ZnII metal centres are bridged by a trithiocyanurate(3-) anion (ttc), with each centre having a distorted trigonal bipyramidal geometry and bonded to three diethylenetriamine N atoms, and an S and an N atom of ttc. The crystal structure is stabilized by O—H...O, O—H...S, C—H...S and C—H...O interactions connecting the cations, the ClO4 − anions and the water molecules.
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25

Sheremeta, M. M., and O. B. Skaskiv. "Pseudostarlike and pseudoconvex in a direction multiple Dirichlet series." Matematychni Studii 58, no. 2 (January 23, 2023): 182–200. http://dx.doi.org/10.30970/ms.58.2.182-200.

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The article introduces the concepts of pseudostarlikeness and pseudoconvexity in the direction of absolutely converges in $\Pi_0=\{s\in\mathbb{C}^p\colon \text{Re}\,s<0\}$, $p\in\mathbb{N},$ the multiple Dirichlet series of the form$$ F(s)=e^{(h,s)}+\sum\nolimits_{\|(n)\|=\|(n^0)\|}^{+\infty}f_{(n)}\exp\{(\lambda_{(n)},s)\}, \quad s=(s_1,...,s_p)\in {\mathbb C}^p,\quad p\geq 1,$$where $ \lambda_{(n^0)}>h$, $\text{Re}\,s<0\Longleftrightarrow (\text{Re}\,s_1<0,...,\text{Re}\,s_p<0)$,$h=(h_1,...,h_p)\in {\mathbb R}^p_+$, $(n)=(n_1,...,n_p)\in {\mathbb N}^p$, $(n^0)=(n^0_1,...,n^0_p)\in {\mathbb N}^p$, $\|(n)\|=n_1+...+n_p$ and the sequences$\lambda_{(n)}=(\lambda^{(1)}_{n_1},...,\lambda^{(p)}_{n_p})$ are such that $0<h_j<\lambda^{(j)}_1<\lambda^{(j)}_k<\lambda^{(j)}_{k+1}\uparrow+\infty$as $k\to+\infty$ for every $j\in\{1,...,p\}$, and $(a,c)=a_1c_1+...+a_pc_p$ for $a=(a_1,...,a_p)$ and $c=(c_1,...,c_p)$. We say that $a>c$ if $a_j\ge c_j$ for all $1\le j\le p$ and there exists at least one $j$ such that $a_j> c_j$. Let ${\bf b}=(b_1,...,b_p)$ and $\partial_{{\bf b}}F( {s})=\sum\limits_{j=1}^p b_j\dfrac{\partial F( {s})}{\partial {s}_j}$ be the derivative of $F$ in the direction ${\bf b}$. In this paper, in particular, the following assertions were obtained: 1) If ${\bf b}>0$ and$\sum\limits_{\|(n)\|=k_0}^{+\infty}(\lambda_{(n)},{\bf b})|f_{(n)}|\le (h,{\bf b})$then $\partial_{{\bf b}}F( {s})\not=0$ in $\Pi_0:=\{s\colon \text{Re}\,s<0\}$, i.e. $F$ is conformal in $\Pi_0$ in the direction ${\bf b}$ (Proposition 1).2) We say that function $F$ is pseudostarlike of the order $\alpha\in [0,\,(h,{\bf b}))$ and the type$\beta >0$ in the direction ${\bf b}$ if$\Big|\frac{\partial_{{\bf b}}F( {s})}{F(s)}-(h, {\bf b})\Big|<\beta\Big|\frac{\partial_{{\bf b}}F( {s})}{F(s)}-(2\alpha-(h, {\bf b}))\Big|,\quad s\in \Pi_0.$Let $0\le \alpha<(h,{\bf b})$ and $\beta>0$. In order that the function $F$ ispseudostarlike of the order $\alpha$ and the type $\beta$ in the direction ${\bf b}> 0$, it is sufficient and in the case, when all $f_{(n)}\le 0$, it is necessary that$\sum\limits_{\|(n)\|=k_0}^{+\infty}\{((1+\beta)\lambda_{(n)}-(1-\beta)h,{\bf b})-2\beta\alpha\}|f_{(n)}|\le 2\beta ((h,{\bf b})-\alpha)$ (Theorem 1).
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26

Dafik, Ika Hesti Agustin, Dwi Agustin Retno Wardani, and Elsa Yuli Kurniawati. "A study of local domination number of S n ⊵ H graph." Journal of Physics: Conference Series 943 (December 2017): 012003. http://dx.doi.org/10.1088/1742-6596/943/1/012003.

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27

Sheremeta, M. M., and Yu S. Trukhan. "On a generalization of some Shah equation." Carpathian Mathematical Publications 16, no. 1 (June 29, 2024): 259–66. http://dx.doi.org/10.15330/cmp.16.1.259-266.

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A Dirichlet series $F(s)=e^{hs}+\sum_{k=2}^{\infty}f_ke^{s\lambda_k}$ with the exponents $0<h<\lambda_k\uparrow+\infty$ and the abscissa of absolute convergence $\sigma_a[F]\ge 0$ is said to be pseudostarlike of order $\alpha\in [0,\,h)$ and type $\beta\in(0,\,1]$ in $\Pi_0=\{s:\,\text{Re}\,s<0\}$ if \[\left|\frac{F'(s)}{F(s)}-h\right|<\beta\left|\frac{F'(s)}{F(s)}-(2\alpha-h)\right|\] for all $s\in \Pi_0$. Similarly, the function $F$ is said to be pseudoconvex of order $\alpha\in [0,\,h)$ and type $\beta\in(0,\,1]$ if \[\left|\frac{F''(s)}{F'(s)}-h\right|<\beta\left|\frac{F''(s)}{F'(s)}-(2\alpha-h)\right|\] for all $s\in \Pi_0$, and $F$ is said to be close-to-pseudoconvex if there exists a pseudoconvex (with $\alpha=0$ and $\beta=1$) function $\Psi$ such that $\text{Re}\{F'(s)/\Psi'(s)\}>0$ in $\Pi_0$. Conditions on parameters $a_1,\,a_2,\,b_1,\,b_2,\,c_1,\,\,c_2$, under which the differential equation \[\dfrac{d^n w}{ds^n}+(a_1 e^{hs}+a_2)\dfrac{dw}{ds}+(b_1e^{hs}+b_2) w=c_1e^{hs}+c_2, \quad n\ge 2,\] has an entire solution pseudostarlike or pseudoconvex of order $\alpha\in [0,\,h)$ and type $\beta\in(0,\,1]$, or close-to-pseudoconvex in $\Pi_0$ are found. It is proved that for such solution\[\ln\,M(\sigma,F)=(1+o(1))\dfrac{n\root{n}\of{|b_1|}}{h}e^{h\sigma/n}\quad \text{as}\quad \sigma \to+\infty,\] where $M(\sigma,F)=\sup\{|F(\sigma+it)|:\, t\in {\mathbb R}\}$.
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28

Baskaran, Thamaraiselvi, and Rajasekaran Ganapathy. "A Study on C -Exponential Mean Labeling of Graphs." Journal of Mathematics 2022 (October 7, 2022): 1–7. http://dx.doi.org/10.1155/2022/2865573.

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A function h is mentioned as a C -exponential mean labeling of a graph G V , E that has s vertices and r edges if h : V G ⟶ 1 , 2 , 3 , ⋯ , r + 1 is injective and the generated function h ∗ : E G ⟶ 2 , 3 , 4 , ⋯ , r + 1 defined by h ∗ a b = 1 / e h b h b / h a h a 1 / h b − h a , for all a b ∈ E G , is bijective. A graph which recognizes a C -exponential mean labeling is defined as C -exponential mean graph. In the following study, we have studied the exponential meanness of the path, the graph triangular tree of T n , C m P n , cartesian product of two paths P m ▫ P n , one-sided step graph of S T n , double-sided step graph of 2 S T 2 n , one-sided arrow graph of A r s , double-sided arrow graph of D A r s , and subdivision of ladder graph S L t .
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29

Doğan, Şengül Dilem. "Copper-catalyzed N H/S H functionalization: A strategy for the synthesis of benzothiadiazine derivatives." Tetrahedron 73, no. 16 (April 2017): 2217–24. http://dx.doi.org/10.1016/j.tet.2017.02.063.

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30

Thao, Pham Thi Thu, Nguyen Minh Thong, Quan V. Vo, Mai Van Bay, Duong Tuan Quang, and Pham Cam Nam. "Substituent effects on the antioxidant capacity of monosubstituted diphenylamines: a DFT study." Vietnam Journal of Chemistry 58, no. 6 (December 2020): 742–51. http://dx.doi.org/10.1002/vjch.202000065.

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AbstractThere are undesirable effects leading to considerable changes in the properties of polymers and plastics since exposing to oxygen undergo oxidative degradation. Therefore, investigation of the bond dissociation enthalpies (BDEs) of N‐H bond for a series of monosubstituted diphenylamines is great interest. In this study, DFT‐based method B3P86/6‐311G was employed to perform this task. In comparison with the available experimental data, this method could reproduce the BDE(N‐H)s values more accuracy. Effects of substituents and substitution positions on the BDE(N‐H)s were also examined. Moreover, there is a good correlation of BDE(N‐H)s with the Hammett's substituent constants. Depending on the nature of substituents, electron withdrawing groups increase the BDE(N‐H)s but electron donating ones reduce the BDE(N‐H)s. The hydrogen atom transfer processes from N‐H bond of these diphenylamines to the peroxyl radical (CH3OO•) were also analyzed via potential energy surfaces and kinetic calculations.
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31

Marongiu, Sophia. ""Det blir ett totalt utanförskap" - könsperpektiv på kvinnors karriärutveckling." Tidskrift för genusvetenskap 17, no. 2 (June 20, 2022): 41–50. http://dx.doi.org/10.55870/tgv.v17i2.4735.

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T h e p u r p o s e of t h e p r o j e c t in this p a p e r is t o study w o m e n ' s c a r e e r d e v e l o p m e n t in o r d e r to e l u c i d a t e obstacles as well as a d v a n t a g e s f r o m a g e n d e r perspective. "Women in m a n a g e n t " s t u d i e s have so f a r mostly c o n c e n t r a t e d o n w o m e n already in a leadi n g p o s i t i o n . T h e p r o b l em is, however, that these women have very little t o say a b o u t why t h e numb e r of w o m e n in l e a d i n g p o s i t i o n is so small. For this reason I have concentrated on following the c a r e e r d e v e l o p m e n t of a g r o u p of w o m e n working o n lower levels of a big, d e c e n t r a l i s e d g o v e r m e n t a l o r g a n i s a t i o n . Some of t h e women have clear c a r e e r a m b i t i o n s ; they want to be p r o m o t e d and gain l e a d i n g positions, o t h e r s have not s t a t e d any personal i n t e r e s t in p u r s u i n g a career. T h e study conc e n t r a t e s on i n t e r a c t i o n a n d intrapsychological as well as s t r u c t u r a l m o d e l s of analysis a r e used. My h y p o t h e s i s is t h a t t h e c u l t u r a l r e p r e s e n t a t i o n s of f e m i n i n i t y a n d those of l e a d e r s h i p are diverg e n t , a fact w h i c h compels w o m e n to use specific s t r a t e g i e s in o r d e r to r e c o n c i l e g e n d e r identity with that of a leader. Since this article is a work-in-progess-report the r e u l t s I p r e s e n t a r e only p r e l i m i n a r y . It is possible, however, t o i d e n u f y at least two significant strategies. O n e c o u l d b e c a l l e d a g e n d e r - n e u t r a l strategy, wher e t h e s i g n i f i c a n c e of g e n d e r in l e a d e r s h i p is d e n i - e d a l t o g e t h e r . T h e o t h e r strategy is to emphasis e specific f e m a l e q u a l i t i e s as a tool to b e u s e d in ord e r t o c h a n g e t h e p r e v a i l i n g m a l e n o r m c o n n e c t e d with l e a d e r s h i p . T h e q u e s t i o n is w h e t h e r t h e organ i s a t i o n is p r e p a r e d to invest in t h o s e w o m e n who see themselves as p o t e n t i a l t r a n s f o r m e r s of tradit i o n a l male values. In a follow-up study I am g o i n g t o s c r u t i n i s e t h e s e l e c t i o n process in t h e oraganisat i o n in o r d e r to see which w o m e n are c h o s e n for l e a d i n g p o s i t i o n s in t h e f u t u r e .
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32

Rocha, Pablo. "A note on Hardy spaces and bounded linear operators." Georgian Mathematical Journal 25, no. 1 (March 1, 2018): 73–76. http://dx.doi.org/10.1515/gmj-2017-0060.

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AbstractIn this note we show that if{f\in H^{p}(\mathbb{R}^{n})\cap L^{s}(\mathbb{R}^{n})}, where{0<p\leq 1<s<\infty}, then there exists a{(p,\infty)}-atomic decomposition which converges tofin{L^{s}(\mathbb{R}^{n})}. From this result, we obtain that a bounded linear operatorTon{L^{s}(\mathbb{R}^{n})}can be extended to a bounded operator from{H^{p}(\mathbb{R}^{n})}into{L^{p}(\mathbb{R}^{n})}if and only ifTis bounded uniformly in{L^{p}}norm on all{(p,\infty)}-atoms. A similar result is also obtained from{H^{p}(\mathbb{R}^{n})}into{H^{p}(\mathbb{R}^{n})}.
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33

Qadir, Adnan M., Sevgi Kansiz, Georgina M. Rosair, Necmi Dege, and Inna S. Safyanova. "Crystal structure and Hirshfeld surface analysis of a zinc xanthate complex containing the 2,2′-bipyridine ligand." Acta Crystallographica Section E Crystallographic Communications 75, no. 12 (November 12, 2019): 1857–60. http://dx.doi.org/10.1107/s2056989019014968.

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In the title compound, (2,2′-bipyridine-κ2 N,N′)bis(2-methoxyethyl xanthato-κS)zinc(II), [Zn(C4H7O2S2)2(C10H8N2)], the ZnII ion is coordinated to two N atoms of the 2,2′-bipyridine ligand and two S atoms from two 2-methoxyethyl xanthate ligands. The ZnII ion lies on a crystallographic twofold rotation axis and has distorted tetrahedral coordination geometry. In the crystal, molecules are linked by weak C—H...O hydrogen bonds, forming supramolecular chains propagating along the a-axis direction. Weak intramolecular C—H...S hydrogen bonds are also observed. The intermolecular contacts in the crystal were further analysed using Hirshfield surface analysis, which indicates that the most significant contacts are H...H (36.3%), followed by S...H/H...S (24.7%), C...H/H...C (15.1%), O...H/H...O (14.4%), N...H/H...N (4.1%) and C...C (2.9%).
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34

Zheng, Xin, Jiechun Zeng, Mindong Xiong, Jiawei Huang, Cuiyan Li, Rujin Zhou, and Duoduo Xiao. "Methyl Trifluoroacetate as a Methylation Reagent for N−H, O−H, and S−H Functionalities under Mild Conditions." Asian Journal of Organic Chemistry 8, no. 8 (July 24, 2019): 1325–31. http://dx.doi.org/10.1002/ajoc.201900413.

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35

Allen, F. H., C. M. Bird, R. S. Rowland, and P. R. Raithby. "Hydrogen-Bond Acceptor and Donor Properties of Divalent Sulfur (Y-S-Z and R-S-H)." Acta Crystallographica Section B Structural Science 53, no. 4 (August 1, 1997): 696–701. http://dx.doi.org/10.1107/s0108768197002644.

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The hydrogen-bond acceptor ability of divalent sulfur in Y—S—Z systems, Y, Z= C, N, O or S, and the donor ability of thiol S—H have been studied using crystallographic data retrieved from the Cambridge Structural Database. Of 1811 Y—S—Z substructures that co-occur with N—H or O—H donors, only 86 (4.75%) form S...H—N,O bonds within S...H < 2.9 Å. In dialkylthioethers, the frequency of S...H bond formation is 6.24%, but drops below 3% when the alkyl groups are successively replaced by Csp 2 centres. This parallels an increasing \delta-positivity of S as calculated using ab initio methods. A similar frequency trend is observed for O...H—N,O bond formation by analogous oxyethers. Mean intermolecular >S...H distances for O—H [2.67 (3) Å] and N—H [2.75 (2) Å] donors (with H positions normalized to neutron values) are ca 0.25 Å longer than in C=S...H—N,O systems, indicative of very weak hydrogen bonding to >S. Intramolecular >S...H are slightly more frequent (8.56%), with S...H slightly shorter than for the intermolecular case. In contrast, 26 (70.3%) out of 37 S—H donors that co-occur with suitable acceptors form X...H—S bonds. The C=O...H—S system is predominant with a mean O...H distance of 2.34 (4) Å, considerably longer (weaker) than in C=O...H—O systems.
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36

Yusof, M. Sukeri M., Fatin Salbiah M. Asroh, Maisara A. Kadir, and Bohari M. Yamin. "N-(3-Methylbutyryl)-N′-phenylthiourea." Acta Crystallographica Section E Structure Reports Online 63, no. 3 (February 7, 2007): o1190—o1191. http://dx.doi.org/10.1107/s1600536807001900.

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The title compound, C12H16N2OS, adopts a trans–cis configuration of the 3-methylbutyryl and phenyl groups, respectively, with respect to the thiono S atom, across the thiourea C—N bonds. An intramolecular N—H...O hydrogen bond is formed and intermolecular N—H...O and N—H...S interactions link the molecules into a two-dimensional network.
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37

Yang, Dan, Jinchao Yu, Jingjing Zhang, and Xiaoying Zhu. "A class of hypersurfaces in $ \mathbb{E}^{n+1}_{s} $ satisfying $ \Delta \vec{H} = \lambda\vec{H} $." AIMS Mathematics 7, no. 1 (2022): 39–53. http://dx.doi.org/10.3934/math.2022003.

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<abstract><p>A nondegenerate hypersurface in a pseudo-Euclidean space $ \mathbb{E}^{n+1}_{s} $ is called to have proper mean curvature vector if its mean curvature $ \vec{H} $ satisfies $ \Delta \vec{H} = \lambda \vec{H} $ for a constant $ \lambda $. In 2013, Arvanitoyeorgos and Kaimakamis conjectured <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>: any hypersurface satisfying $ \Delta \vec{H} = \lambda \vec{H} $ in pseudo-Euclidean space $ \mathbb E_{s}^{n+1} $ has constant mean curvature. This paper will give further support evidences to this conjecture by proving that a linear Weingarten hypersurface $ M^{n}_{r} $ in $ \mathbb E^{n+1}_{s} $ satisfying $ \Delta \vec{H} = \lambda \vec{H} $ has constant mean curvature if $ M^{n}_{r} $ has diagonalizable shape operator with less than seven distinct principal curvatures.</p></abstract>
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38

Siagian, Nurul Aini, Mutiara Dwi Yanti, Gf Gustina Siregar, Andayani Boang Manalu, and Vitrilina Hutabarat. "P E N Y U L U H A N T E N T A N G P E M A N F A A T A N D A U N S I R I H M E R A H T E R H A D A P P E N Y E M B U H A N L U K A P E R I N E U M P A D A SAAT N I F A S." Jurnal Pengabdian Masyarakat Putri Hijau 1, no. 2 (March 31, 2021): 99–102. http://dx.doi.org/10.36656/jpmph.v1i2.699.

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Luka perineum merupakan suatu perlukaan yang terjadi pada perineum ibu yang diakibatkan oleh beberapa factor pada saat proses persalinan. Angka kejadian luka perineum masih cukup banyak dijumpai diaerah-daerah. Selama ini masyarakat banyak menggunakan obat –obat tradisional dalam penyembuhan berbagai masalah kesehatan yang beberapa sudah dibuktikan secara emfiris melalui penelitian. Masih tingginya kekhawatiran masyarakat dalam penggunaan obat-obat farmakologi yang berbahan dasar kimia, sehingga perlu penyuluhan tentang pengobatan non farmakologi dara tanaman yang biasa ditemui di lingkungan masyarakat. Salah satu pengobatan tradisional non farmakologi unutk penyembuhan luka perineum yaitu dengan memanfaaftkan tanaman daun sirih merah untuk penyembuhan luka perineum. Tujuan dalam pelaksaan penyuluhan ini yaitu untuk memberitahukan ibu-ibu nifas tentang pemanfaatan pemberian daun sirih merah terhadap penyembuhan luka perineum. Penyuluhan ini dilakukan dengan metode sosialiasi dan pembibingan langsung dalam pembuatan seduhan daun sirih merah. Hasil dari kegiatan ini yaitu ibu-ibu nifas dapat mengetahui dan memanfaatkan tanaman tradisional seperti daun sirih merah dan dapat mengaplikasikan langsung untuk penyembuhan luka pada perineum.
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39

Farenick, Douglas, and Michelle McBurney. "Toeplitz separability, entanglement, and complete positivity using operator system duality." Proceedings of the American Mathematical Society, Series B 10, no. 10 (April 10, 2023): 114–28. http://dx.doi.org/10.1090/bproc/163.

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A new proof is presented of a theorem of L. Gurvits [LANL Unclassified Technical Report (2001), LAUR–01–2030], which states that the cone of positive block-Toeplitz matrices with matrix entries has no entangled elements. The proof of the Gurvits separation theorem is achieved by making use of the structure of the operator system dual of the operator system C ( S 1 ) ( n ) C(S^1)^{(n)} of n × n n\times n Toeplitz matrices over the complex field, and by determining precisely the structure of the generators of the extremal rays of the positive cones of the operator systems C ( S 1 ) ( n ) ⊗ min B ( H ) C(S^1)^{(n)}\otimes _{\text {min}}\mathcal {B}(\mathcal {H}) and C ( S 1 ) ( n ) ⊗ min B ( H ) C(S^1)_{(n)}\otimes _{\text {min}}\mathcal {B}(\mathcal {H}) , where H \mathcal {H} is an arbitrary Hilbert space and C ( S 1 ) ( n ) C(S^1)_{(n)} is the operator system dual of C ( S 1 ) ( n ) C(S^1)^{(n)} . Our approach also has the advantage of providing some new information concerning positive Toeplitz matrices whose entries are from B ( H ) \mathcal {B}(\mathcal {H}) when H \mathcal {H} has infinite dimension. In particular, we prove that normal positive linear maps ψ \psi on B ( H ) \mathcal {B}(\mathcal {H}) are partially completely positive in the sense that ψ ( n ) ( x ) \psi ^{(n)}(x) is positive whenever x x is a positive n × n n\times n Toeplitz matrix with entries from B ( H ) \mathcal {B}(\mathcal {H}) . We also establish a certain factorisation theorem for positive Toeplitz matrices (of operators), showing an equivalence between the Gurvits approach to separation and an earlier approach of T. Ando [Acta Sci. Math. (Szeged) 31 (1970), pp. 319–334] to universality.
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40

Poplaukhin, Pavel, Hadi D. Arman, and Edward R. T. Tiekink. "A one-dimensional coordination polymer, catena-poly[[[[N-ethyl-N-(pyridin-4-ylmethyl)dithiocarbamato-κ2 S,S′]zinc(II)]-μ2-N-ethyl-N-(pyridin-4-ylmethyl)dithiocarbamato-κ3 S,S′:N] 4-methylpyridine hemisolvate]." Acta Crystallographica Section E Crystallographic Communications 73, no. 8 (July 13, 2017): 1162–66. http://dx.doi.org/10.1107/s2056989017010179.

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The title compound, {[Zn(C9H11N2S2)2]·0.5C6H7N} n , comprises two independent, but chemically similar, Zn[S2CN(Et)CH2py]2 residues and a 4-methylpyridine solvent molecule in the asymmetric unit. The Zn-containing units are connected into a one-dimensional coordination polymer (zigzag topology) propagating in the [010] direction, with one dithiocarbamate ligand bridging in a μ2-κ3 mode, employing one pyridyl N and both dithiocarbamate S atoms, while the other is κ2-chelating. In each case, the resultant ZnNS4 coordination geometry approximates a square pyramid, with the pyridyl N atom in the apical position. In the crystal, the chains are linked into a three-dimensional architecture by methyl- and pyridyl-C—H...S, methylene-C—H...N(pyridyl) and pyridyl-C—H...π(ZnS2C) interactions. The connection between the chain and the 4-methylpyridine solvent molecule is of the type pyridyl-C—H...N(4-methylpyridine).
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41

Abe, Hiraku, Megumi Harada, Tatsuya Horiguchi, and Mikiya Masuda. "The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A." International Mathematics Research Notices 2019, no. 17 (October 16, 2017): 5316–88. http://dx.doi.org/10.1093/imrn/rnx275.

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AbstractLet $n$ be a fixed positive integer and $h: \{1,2,\ldots,n\} \rightarrow \{1,2,\ldots,n\}$ a Hessenberg function. The main results of this paper are two-fold. First, we give a systematic method, depending in a simple manner on the Hessenberg function $h$, for producing an explicit presentation by generators and relations of the cohomology ring $H^\ast({\mathrm{Hess}}(\mathsf{N},h))$ with ${\mathbb Q}$ coefficients of the corresponding regular nilpotent Hessenberg variety ${\mathrm{Hess}}(\mathsf{N},h)$. Our result generalizes known results in special cases such as the Peterson variety and also allows us to answer a question posed by Mbirika and Tymoczko. Moreover, our list of generators in fact forms a regular sequence, allowing us to use techniques from commutative algebra in our arguments. Our second main result gives an isomorphism between the cohomology ring $H^*({\mathrm{Hess}}(\mathsf{N},h))$ of the regular nilpotent Hessenberg variety and the $\mathfrak{S}_n$-invariant subring $H^*({\mathrm{Hess}}(\mathsf{S},h))^{\mathfrak{S}_n}$ of the cohomology ring of the regular semisimple Hessenberg variety (with respect to the $\mathfrak{S}_n$-action on $H^*({\mathrm{Hess}}(\mathsf{S},h))$ defined by Tymoczko). Our second main result implies that $\mathrm{dim}_{{\mathbb Q}} H^k({\mathrm{Hess}}(\mathsf{N},h)) = \mathrm{dim}_{{\mathbb Q}} H^k({\mathrm{Hess}}(\mathsf{S},h))^{\mathfrak{S}_n}$ for all $k$ and hence partially proves the Shareshian–Wachs conjecture in combinatorics, which is in turn related to the well-known Stanley–Stembridge conjecture. A proof of the full Shareshian–Wachs conjecture was recently given by Brosnan and Chow, and independently by Guay–Paquet, but in our special case, our methods yield a stronger result (i.e., an isomorphism of rings) by more elementary considerations. This article provides detailed proofs of results we recorded previously in a research announcement [2].
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42

Qadir, Adnan M., Sevgi Kansiz, Necmi Dege, and Eiad Saif. "Crystal structure and Hirshfeld surface analysis of bis[(ethoxymethanethioyl)sulfanido](N,N,N′,N′-tetramethylethane-1,2-diamine)mercury(II)." Acta Crystallographica Section E Crystallographic Communications 77, no. 11 (October 19, 2021): 1126–29. http://dx.doi.org/10.1107/s2056989021010549.

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The title four-coordinate mononuclear complex, [Hg(C3H5OS2)2(C6H16N2)] or [Hg(C3H5OS2)2(tmeda)] (tmeda: N,N,N′,N′-tetramethylethane-1,2-diamine), has a distorted tetrahedral geometry. The HgII ion is coordinated to two N atoms of the N,N,N′,N′-tetramethylethylenediamine ligand and two S atoms from two ethylxanthate xanthate ligands. In the crystal, molecules are linked by weak C—H...S hydrogen bonds, forming a two-dimensional supramolecular architecture in the ab plane. The most important contributions for the crystal packing are from H...H (59.3%), S...H (27.4%) and O...H (7.5%) interactions.
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43

Chang, Mun See, and Colva M. Roney-Dougal. "Primitive normalisers in quasipolynomial time." Archiv der Mathematik 118, no. 1 (October 26, 2021): 19–25. http://dx.doi.org/10.1007/s00013-021-01670-5.

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AbstractThe normaliser problem has as input two subgroups H and K of the symmetric group $$\mathrm {S}_n$$ S n , and asks for a generating set for $$N_K(H)$$ N K ( H ) : it is not known to have a subexponential time solution. It is proved in Roney-Dougal and Siccha (Bull Lond Math Soc 52(2):358–366, 2020) that if H is primitive, then the normaliser problem can be solved in quasipolynomial time. We show that for all subgroups H and K of $$\mathrm {S}_n$$ S n , in quasipolynomial time, we can decide whether $$N_{\mathrm {S}_n}(H)$$ N S n ( H ) is primitive, and if so, compute $$N_K(H)$$ N K ( H ) . Hence we reduce the question of whether one can solve the normaliser problem in quasipolynomial time to the case where the normaliser in $$\mathrm {S}_n$$ S n is known not to be primitive.
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44

Jeudy, Charlie, and Michel Rouleux. "Generalized exchange operators for a system of spin-1 particles." Journal of Physics: Conference Series 2912, no. 1 (December 1, 2024): 012043. https://doi.org/10.1088/1742-6596/2912/1/012043.

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Abstract The irreps ( S U ( 2 ) , H , U ) of SU(2) of dimension (2S + 1)N, i.e. operators acting on the space H = H N = C ( 2 S + 1 ) N of N identical particles with spin S, are described by Clebsch-Gordan decomposition into inequivalent irreps. In the special case S = 1/2, Dirac [1] discovered that there is another rep given by ( S ( N ) , H , V ) where S ( N ) is the permutation group, Thus, the standard “linear” Hamiltonian, or Heisenberg interaction Hamiltonian H 0 = ∑ 1 ≤ i ≤ N S → i ⋅ S → j , where σ → i = 2 S → i is the vector of Pauli matrices, can be interpreted as the sum of the “Exchange Operators” Pij between particles i and j. Schrödinger [3] generalized to higher spin numbers S the Exchange Operator P i j = P S ( S → i ⋅ S → j ) as a polynomial of degree 2S in S → i ⋅ S → j . This we call the P-representation. There is another rep induced by the one particle permutation of states operators Q ∼ α , which we call the Q-rep. Our main purpose is to write some physical Hamiltonians for a few particles in the P- or Q-rep and compute their spectrum. The simplest case where there are as many particles as available states for the spin operator along the z-axis, i.e. N = 2S + 1 = 3, see Weyl [4] or Hamermesh [5]. Finally, we consider the relationship between permutations and rotation invariance when S = 1/2 and S = 1.
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45

Choir, Moch Robitul, Sutandyo Dwija Laksmana, Husni Wahyu Wijaya, and I. Wayan Dasna. "Crystal Structure, Hirshfeld Surface, and Antibacterial Properties of [Ni(4-AP)<sub>4</sub>(NCS)<sub>2</sub>] (AP = Aminopyridine)." Key Engineering Materials 985 (August 27, 2024): 123–34. http://dx.doi.org/10.4028/p-lll8pm.

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Single crystal of [Ni(4-AP)4(NCS)2] complex compound has been obtained using solvothermal method at 70 °C for 15 hours (yield = 41%). Crystal structure of [Ni(4-AP)4(NCS)2] has a distorted octahedral structure with orthorhombic crystal system, Pccn space group, Z = 4, and a, b, and c values of 17.1091(5) Å, 9.6686 (3) Å, 16.1998 (5) Å. Hirshfeld Surface analysis shows that intermolecular hydrogen bonds in the complex compound comes from N–H∙∙∙∙N and N–H∙∙∙∙S. The intermolecular interactions are dominated by H---H, C---H/H---C, and H---S/S---H by 39.0%, 29.6%, and 24.7%, respectively. The relatively less contributions are N---H/H---N, S---C/C---S, and S---N/N---S at 6.3%, 0.2%, and 0.1%, respectively. The [Ni(4-AP)4(NCS)2] complex has antibacterial activity against Escherichia coli and Staphylococcus aureus.
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46

Gotoh, Tsuyoshi, Yuichi Sudo, Fukuhito Ooshita, and Toshimitsu Masuzawa. "Dynamic Ring Exploration with (H,S) View." Algorithms 13, no. 6 (June 12, 2020): 141. http://dx.doi.org/10.3390/a13060141.

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The researches about a mobile entity (called agent) on dynamic networks have attracted a lot of attention in recent years. Exploration which requires an agent to visit all the nodes in the network is one of the most fundamental problems. While the exploration of dynamic networks with complete information or with no information about network changes has been studied, an agent with partial information about the network changes has not been considered yet despite its practical importance. In this paper, we consider the exploration of dynamic networks by a single agent with partial information about network changes. To the best of our knowledge, this is the very first work to investigate the exploration problem with such partial information. As a first step in this research direction, we focus on 1-interval connected rings as dynamic networks in this paper. We assume that the single agent has partial information called the ( H , S ) view by which it always knows whether or not each of the links within H hops is available in each of the next S time steps. In this setting, we show that H + S ≥ n and S ≥ ⌈ n / 2 ⌉ (n is the size of the network) are necessary and sufficient conditions to explore 1-interval connected rings. Moreover, we investigate the upper and lower bounds of the exploration time. It is proven that the exploration time is O ( n 2 ) for ⌈ n / 2 ⌉ ≤ S < 2 H ′ − 1 , O ( n 2 / H + n H ) for S ≥ max ( ⌈ n / 2 ⌉ , 2 H ′ − 1 ) , O ( n 2 / H + n log H ) for S ≥ n − 1 , and Ω ( n 2 / H ) for any S where H ′ = min ( H , ⌊ n / 2 ⌋ ) .
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47

Suis, MAF, L. Majuakim, and M. Suleiman. "F E R N S P E C I E S R I C H N E S S PAT T E R N S A N D T H E I R ENVIRONMENTAL PREFERENCES ACROSS ELEVATIONAL GRADIENT ON MOUNT TRUS MADI, SABAH, MALAYSIA." JOURNAL OF TROPICAL FOREST SCIENCE 33, no. 1 (January 19, 2021): 58–68. http://dx.doi.org/10.26525/jtfs2021.33.1.58.

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48

Akkurt, Mehmet, Shaaban K. Mohamed, Joel T. Mague, Alaa A. Hassan, and Mustafa R. Albayati. "2-Cycloheptylidene-N-phenylhydrazinecarbothioamide." Acta Crystallographica Section E Structure Reports Online 70, no. 3 (February 26, 2014): o359. http://dx.doi.org/10.1107/s1600536814003948.

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In the title compound, C14H19N3S, the seven-membered cycloheptane ring adopts a chair conformation. An intramolecular N—H...N hydrogen bond [graph-set motifS(5)] is present in the N—N—C—N chain between the ring systems. An intramolecular C—H...S contact also occurs. In the crystal, pairs of molecules form centrosymmetric dimers through N—H...S hydrogen bonds [graph-setR22(8)]. These dimers are connected by C—H...S interactions with anR22(14) motif.
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49

Yang, Lu, Jie Feng, Mei Qiao, and Qingle Zeng. "Synthesis ofN-sulfenyl-sulfoximines and -sulfenamides through a metal-free N–H/S–H dehydrocoupling reaction." Organic Chemistry Frontiers 5, no. 1 (2018): 24–28. http://dx.doi.org/10.1039/c7qo00766c.

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50

Li, Yuan, Mengqian Cui, and Shasha Hu. "The convex properties and norm bounds for operator matrices involving contractions." Filomat 34, no. 4 (2020): 1271–81. http://dx.doi.org/10.2298/fil2004271l.

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In this note, the norm bounds and convex properties of special operator matrices ~H(m)n and ~S(m)n are investigated. When Hilbert space K is infinite dimensional, we firstly show that ~H(m)n = ~H(m)n+1 and ~S(m) n = ~S(m)n+1, for m, n = 1,2,.... Then we get that ~H(m) n is a convex and compact set in the ?* topology. Moreover, some norm bounds for ~H(m) n and ~S(m)n are given.
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