Ising model with competing “uncle–nephew” interactions by Ganikhodjaev, Nasir

“…We consider the Ising model on the semi-infinite Cayley tree of second order with competing interactions up to the third-nearest-neighbors with spins belonging to the different branches of the tree and for this model investigate the problem of phase transition.…”
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Ethyl 1-(butan-2-yl)-2-(2-methoxyphenyl)- 1H-benzimidazole-5-carboxylate by Natarajan, Arumugam, Ngah, Nurziana, Osman, Hasnah, Abdul Rahim, Aisyah Saad

“…In the title compound, C21H24N2O3, the mean planes of the benzene ring and the benzimidazole ring system form a dihedral angle of 69.94 (7)�. …”
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Attractors on Ising Model with Restricted Interactions on Cayley Tree of Order 2 by Ganikhodjaev, Nasir, Nawi, Ashraf Mohamed

“…In this paper we reinvestigate the phase diagram of this model using an iterative scheme, that is developed for a renormalized effective nearest-neighbour coupling Kr and effective field per site Xr for spins on the n-th level of a Cayley tree with competing one-level J0 and prolonged Jp next-nearest-neighbour interactions between Ising spins on the tree. …”
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Copper complexes of dinucleating octa-azamacrocyclic ligands by Dancey, Keith Philip

“…Three types of dinacleating tetraimine macrocycles have been prepared from 4,7-diaza-2,3;8,9-dibenzodecane-l,10-dione by condensation with the appropriate polyamine; I, large-ring octa-aza macrocycles e.g. the 28—membered ring compound 5,6,7,8,15,16,23,24,25,26,33,34— dodecahydrotetrabenzo(e,m,s,a’) (1,4,11,15,18,22,25) octaaza- cyclooctacosine and related 30- and 36- membered ring compounds; II, the "fused" bis(tetra-azamacrocycle) 5,6,7,8,22,23,24,25-octahydrotetrabenzo (f,f’1,1’) benzo (1,2-b:4,5-b’)- bis(1,4,8,)tetraazacyclotetradecine; III, the "Linked" bis(tetra-azamacrocycle) 5,6,7,8,24,25,26,27-octahydrotetrabenzo (f,f’,1,1)diphenyl(3,4-b:3’,4’-b’)bis(l,4,8,11)tetraazacyclotetradecine. …”
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Ethyl 1-sec-butyl-2-phenyl-1H-benzimidazole-5-carboxylate by Arumugam, Natarajan, Abdul Rahim, Aisyah Saad, Abd Hamid, Shafida, Hemamalini, Madhukar, Fun, Hoong-Kun

“…In the title molecule, C20H22N2O2, the benzimidazole ring system is essentially planar, with a maximum deviation of 0.024 (1) A ˚ . …”
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4-(sec-butylamino)-3-nitrobenzoic acid by Narendra Babu, Shivanagere Nagojappa, Abdul Rahim, Aisyah Saad, Abd Hamid, Shafida, Yeap, Chin Sing, Fun, Hoong-Kun

“…In each, intramolecular N-H...O hydrogen bonds generate S(6) ring motifs. The mean plane of the nitro group forms dihedral angles of 4.5 (3) and 0.5 (3)° with the benzene ring in molecules A and B, respectively. …”
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Sulfur monoxide transfer from peri-substituted trisulfide-2-oxides to dienes: substituent effects, mechanistic studies and application in thiophene synthesis by Grainger, Richard S., Patel, Bhaven, Kariuki, Benson M., Male, Louise, Spencer, Neil

“…The 1,2,3-trithiane-2-oxide ring adopts a sofa conformation in the solid state, with a pseudoaxial oxygen and evidence of ring strain (peri-interaction). …”

4-ethylamino-3-nitrobenzoic acid by Narendra Babu, Shivanagere Nagojappa, Abdul Rahim, Aisyah Saad, Abd Hamid, Shafida, Quah, Ching Kheng, Fun, Hoong-Kun

“…In the title compound, C9H10N2O4, an intramolecular N-H...O hydrogen-bond interaction generates an S(6) ring motif. The nitro group is slightly twisted away from its attached benzene ring [dihedral angle = 15.29 (15)°]. …”
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Ethyl 4-(2-hydroxyethylamino)-3-nitrobenzoate by Abdul Rahim, Aisyah Saad, Abd Hamid, Shafida, Narendra Babu, Shivanagere Nagojappa, Loh, Wan-Sin, Fun, Hoong-Kun

“…In the title compound, C11H14N2O5, the molecular structure is stabilized by an intramolecular N—H� � �O hydrogen bond, which generates an S(6) ring motif. The nitro group is twisted slightly from the attached benzene ring, forming a dihedral angle of 5.2 (2)�. …”
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On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree by Khrennikov, Andrei, Mukhamedov, Farrukh

“…An analogous fact is not true when the number of spins is finite.…”
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Compact tri-band Wilkinson power divider based on metamaterial structure for Bluetooth, WiMAX, and WLAN applications by Khajeh-Khalili, Farzad, Honarvar, M. Amin, Dadgarpour, Abdolmehdi, Virdee, Bal Singh, Denidni, Tayeb A.

“…It comprises a П-shaped transmission-line coupled to a rectangular split ring resonator metamaterial structure. The μ-negative feature of the rectangular split ring resonator metamaterial structure is investigated by retrieving its constitutive parameters from the S-parameter response. …”
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Synthesis and chemistry of 1,4-oxathianes and 1,4-oxathian-3-ones by Hammad, Nashwa

“…The first involved an examination influencing the regioselectivity of the epoxide and consequent ring-opening to yield the corresponding hydroxy sulfide. …”
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Redevelopment of Northern End of York Racecourse by Markey, Anne, Phelan, Brendan

“…New Equine and Racegoer facilities at York Racecourse including a new pre-parade ring and saddling boxes; new weigh-in building; new bars, restaurant and champagne lawn.…”
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Birmingham St Patrick's day parade 2001 (poster) by Birmingham St. Patrick's Festival, BSPF

“…Anne's via Digbeth and The Bull Ring.…”
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Measurable bundles of *-homomorphisms C*-algebras by Ganiev, Inomjon, Kudaybergenov, Karimbergen

“…In the present paper we study ¤-homomorphisms on C¤-algebras over a ring of measurable functions L0: In particular, we give representation ¤-homomorphisms on C¤-algebras over L0 as measurable bundles of ¤-homomorphisms on complex C¤-algebras.…”
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Wear surface characteristics study of tribo-materials under palm oil methyl ester added lubricant by Maleque, Md. Abdul, Masjuki, H.H.

“…In this investigation, wear tests for a segmented piston ring-plate pair and a ball-plate pair were carried out using a modified universal wear and friction machine with three different percentages of palm oil methyl ester (POME) added to a mineral oil lubricant. …”
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On some dynamic systems arising in lattice models with competing ternary interactions by Ganikhodjaev, Nasir

“…Later similar result was proved for Potts model with three spins [2]. Let Let …”
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Ethyl 1-(2-hydroxyethyl)-2-propyl-1H-benzimidazole-5-carboxylate by Hamzah, Nurasyikin, Ngah, Nurziana, Abd Hamid, Shafida, Abdul Rahim, Aisyah Saad

“…In the title compound, C15H20N2O3, the benzimidazole ring is essentially planar, with a maximum deviation from the mean plane of 0.012 (1) A ˚ . …”
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Synthesis, characterization and cytotoxic activity of S-benzyldithiocarbazate Schiff bases derived from 5-fluoroisatin, 5-chloroisatin, 5-bromoisatin and their crystal structures by Abdul Manan, Mohd Abdul Fatah, Crouse, Karen Anne, Mohamed Tahir, Mohamed Ibrahim, Rosli, Rozita, How, Fiona Ni Foong, Watkins, David J., Slawin, Alexandra Martha Zoya

“…Planarity of the isatin ring in the Schiff bases can be arranged in the following order SB5FISA[SB5ClISA[SB5BrISA while the perpendicularity of the benzyl ring towards the dithiocarbazate plane can be ordered as follows, SB5FISA>SB5BrISA>SB5ClISA.…”
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On the existence of phase transition for one dimensional P-adic countable state Potts model by Mukhamedov, Farrukh

“…Note that it turns out that the finding condition does not depend on values of the prime p , and therefore, an analogous fact is not true when the number of spins is finite.…”
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