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1

Khan, Asif R., Josip E. Pečarić, and Marjan Praljak. "Weighted averages of n-convex functions via extension of Montgomery’s identity." Arabian Journal of Mathematics 9, no. 2 (2019): 381–92. http://dx.doi.org/10.1007/s40065-019-0245-9.

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Abstract Using an extension of Montgomery’s identity and the Green’s function, we obtain new identities and related inequalities for weighted averages of n-convex functions, i.e. the sum $$\sum _{i=1}^m \rho _i h(\lambda _i)$$ ∑ i = 1 m ρ i h ( λ i ) and the integral $$\int ^{b}_{a} \rho (\lambda ) h(\gamma (\lambda ))d\lambda $$ ∫ a b ρ ( λ ) h ( γ ( λ ) ) d λ where h is an n-convex function.
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2

Chen, Chao-Ping, and Feng Qi. "Extension of an Inequality of H. Alzer for Negative Powers." Tamkang Journal of Mathematics 36, no. 1 (2005): 69–72. http://dx.doi.org/10.5556/j.tkjm.36.2005.137.

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3

Eslami Mahdiabadi, Nooshin, and Mojtaba Bakherad. "An extension of the Euclidean Berezin number." Filomat 37, no. 24 (2023): 8377–88. http://dx.doi.org/10.2298/fil2324377e.

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The Berezin transform ? of an operator A, acting on the reproducing kernel Hilbert space H = H(?) over some (non-empty) set ?, is defined by ?(?) = ?A?k?,?k?? (? ? ?), where ?k? = k?/?k?? is the normalized reproducing kernel of H. The Berezin number of an operator A is defined by ber(A) = sup ??? ??(?)? = sup ??? ??A?k?,?k???. In this paper, by using the definition of 1-generalized Euclidean Berezin number, we obtain some possible relations and inequalities. It is shown, among other inequalities, that if Ai ? L(H(?)) (i = 1,..., n), then berg(A1,...,An) ? g?1 (n?i=1 g(ber(Ai))) ? n?i=1 ber(Ai)
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4

Zimmerman, Scott. "Sobolev Extensions of Lipschitz Mappings into Metric Spaces." International Mathematics Research Notices 2019, no. 8 (2017): 2241–65. http://dx.doi.org/10.1093/imrn/rnx201.

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Abstract Wenger and Young proved that the pair $(\mathbb{R}^m,\mathbb{H}^n)$ has the Lipschitz extension property for $m \leq n$ where $\mathbb{H}^n$ is the sub-Riemannian Heisenberg group. That is, for some $C>0$, any $L$-Lipschitz map from a subset of $\mathbb{R}^m$ into $\mathbb{H}^n$ can be extended to a $CL$-Lipschitz mapping on $\mathbb{R}^m$. In this article, we construct Sobolev extensions of such Lipschitz mappings with no restriction on the dimension $m$. We prove that any Lipschitz mapping from a compact subset of $\mathbb{R}^m$ into $\mathbb{H}^n$ may be extended to a Sobole
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5

GÜNAYDIN, MURAT. "ON THE CHIRAL RINGS IN N=2 AND N=4 SUPERCONFORMAL ALGEBRAS." International Journal of Modern Physics A 08, no. 02 (1993): 301–24. http://dx.doi.org/10.1142/s0217751x93000126.

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We study the chiral primary rings of N=2 and N=4 superconformal algebras (SCA’s) constructed over triple systems. The chiral primary states of N=2 SCA’s realized over Hermitian Jordan triple systems are given. Their coset spaces G/H are Hermitian-symmetric and can be compact or noncompact. In the noncompact case under the requirement of unitarity of the representations of G, we find an infinite discrete set of chiral primary states associated with the holomorphic discrete series representations of G and their analytic continuation. A further requirement that the corresponding N=2 module be uni
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6

Glebsky, Lev, and Nevarez Nieto Saul. "Almost congruence extension property for subgroups of free groups." Journal of Group Theory 21, no. 1 (2018): 125–46. http://dx.doi.org/10.1515/jgth-2017-0027.

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AbstractLetHbe a subgroup ofFand{\langle\kern-1.422638pt\langle H\rangle\kern-1.422638pt\rangle_{F}}the normal closure ofHinF. We say thatHhas the Almost Congruence Extension Property (ACEP) inFif there is a finite set of nontrivial elements{\digamma\subset H}such that for any normal subgroupNofHone has{H\cap\langle\kern-1.422638pt\langle N\rangle\kern-1.422638pt\rangle_{F}=N}whenever{N\cap\digamma=\emptyset}. In this paper, we provide a sufficient condition for a subgroup of a free group to not possess ACEP. It also shows that any finitely generated subgroup of a free group satisfies some gen
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7

Ren, Li, Qiang Mu, and Yongzheng Zhang. "A Class of Finite-dimensional Lie Superalgebras of Hamiltonian Type." Algebra Colloquium 18, no. 02 (2011): 347–60. http://dx.doi.org/10.1142/s1005386711000241.

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A class of finite-dimensional Cartan-type Lie superalgebras H(n,m) over a field of prime characteristic is studied in this paper. We first determine the derivation superalgebra of H(n,m). Then we obtain that H(n,m) is restrictable and it is an extension of the Lie superalgebra [Formula: see text]. Finally, we prove that H(n,m) is isomorphic to a subalgebra of the restricted Hamiltonian Lie superalgebra [Formula: see text].
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8

Jing, Zhao, Ping Chang, Xuan Shan, Shengpeng Wang, Lixin Wu, and Jaison Kurian. "Mesoscale SST Dynamics in the Kuroshio–Oyashio Extension Region." Journal of Physical Oceanography 49, no. 5 (2019): 1339–52. http://dx.doi.org/10.1175/jpo-d-18-0159.1.

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Abstract Mesoscale eddies have been extensively studied based on the sea surface height anomaly (SSHA). However, it is the sea surface temperature anomaly (SSTA) that is vital to the mesoscale eddy–atmosphere interactions. In this study, we analyze the amplitude relationship between SSHA and SSTA (referred to as the H-T amplitude relationship) in the Kuroshio–Oyashio extension (KOE) region using both observational and reanalysis data. It is found that the spatial distribution of mesoscale SSHA variance is not coincident with mesoscale SSTA variance. The former peaks in the Kuroshio extension a
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9

Balestri, Davide, Alessia Bacchi, Patrick Scilabra, and Paolo Pelagatti. "Extension of the Pd-catalyzed C N bond forming reaction to the synthesis of large polydentate ligands containing N H functions." Inorganica Chimica Acta 470 (January 2018): 416–22. http://dx.doi.org/10.1016/j.ica.2017.06.029.

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10

Chang, Ya-Sian, Kun-Tu Yeh, Nicholas C. Hsu, Shu-Hui Lin, Tien-Jye Chang, and Jan-Gowth Chang. "Detection of N-, H-, and KRAS codons 12, 13, and 61 mutations with universal RAS primer multiplex PCR and N-, H-, and KRAS-specific primer extension." Clinical Biochemistry 43, no. 3 (2010): 296–301. http://dx.doi.org/10.1016/j.clinbiochem.2009.10.007.

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11

SUDARSANA, I. WAYAN, HILDA ASSIYATUN, ADIWIJAYA, and SELVY MUSDALIFAH. "THE RAMSEY NUMBER FOR A LINEAR FOREST VERSUS TWO IDENTICAL COPIES OF COMPLETE GRAPHS." Discrete Mathematics, Algorithms and Applications 02, no. 04 (2010): 437–44. http://dx.doi.org/10.1142/s1793830910000784.

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Let H be a graph with the chromatic number h and the chromatic surplus s. A connected graph G of order n is called H-good if R(G, H) = (n - 1)(h - 1) + s. In this paper, we show that Pn is 2Km-good for n ≥ 3. Furthermore, we obtain the Ramsey number R(L, 2Km), where L is a linear forest. Moreover, we also give the Ramsey number R(L, Hm) which is an extension for R(kPn, Hm) proposed by Ali et al. [1], where Hm is a cocktail party graph on 2m vertices.
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12

Gunawardana, C. A., J. Desper, A. S. Sinha, M. Ðaković, and C. B. Aakeröy. "Competition and selectivity in supramolecular synthesis: structural landscape around 1-(pyridylmethyl)-2,2′-biimidazoles." Faraday Discussions 203 (2017): 371–88. http://dx.doi.org/10.1039/c7fd00080d.

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Three isomeric forms of 1-(pyridylmethyl)-2,2′-biimidazole, A1–A3, have been synthesized and subjected to systematic co-crystallizations with selected hydrogen- and halogen-bond donors in order to explore the impact of electrostatics and geometry on the resulting supramolecular architectures. The solid-state supramolecular behavior of A1–A3 is largely consistent in halogen-bonded co-crystals. Only two types of primary interactions, the N–H⋯N/N⋯H–N homomeric hydrogen-bond interactions responsible for the pairing of biimidazole moieties and the I⋯N(pyridine) halogen bonds responsible for the co-
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13

Djiki\'c, Marko S., and Jovana Nikolov Radenkovi\'c. "Simultaneous extension of two bounded operators between Hilbert spaces." Journal of Operator Theory 83, no. 1 (2019): 229–50. http://dx.doi.org/10.7900/jot.2018oct09.2212.

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The paper is concerned with the following question: if A and B are two bounded operators between Hilbert spaces H and K, and M and N are two closed subspaces in H, when will there exist a bounded operator C:H→K which coincides with A on M and with B on N simultaneously? Besides answering this and some related questions, we also wish to emphasize the role played by the class of so-called semiclosed operators and the unbounded Moore--Penrose inverse in this work. Finally, we will relate our results to several well-known concepts, such as the operator equation XA=B and the theorem of Douglas, Hal
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14

Kuribayashi, Katsuhiko. "The extension problem and the mod 2 cohomology of the space of loops on Spin (N)." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 121, no. 1-2 (1992): 91–99. http://dx.doi.org/10.1017/s0308210500014165.

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SynopsisLet {Er, dr} be a spectral sequence converging to a Hopf algebra H*. We give a method of reconstructing H* from E∞**. By using our method, we determine the mod 2 cohomology of the space of loops on a simply-connected space whose mod 2 cohomology is isomorphic to that of Spin(N) as an algebra over the Steenrod algebra.
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15

Deuber, Walter A., and Wolfgang Thumser. "A Combinatorial Approach to Complexity Theory via Ordinal Hierarchies." Combinatorics, Probability and Computing 3, no. 2 (1994): 177–90. http://dx.doi.org/10.1017/s0963548300001103.

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Long regressive sequences in well-quasi-ordered sets contain ascendingsubsequences of length n. The complexity of the corresponding function H(n) is studied in the Grzegorczyk-Wainer hierarchy. An extension to regressive canonical colourings is indicated.
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16

Bhatt, Tapasvi, Naman Jain, and Eddie Yin Kwee Yin Kwee Ng. "Sustaining Vaccine Potency in Cold Chain Logistics: Numerical Analysis of Extended Cooling Duration in Glycerol-Infused n-Tetradecane Phase-Change Materials." Fluids 10, no. 2 (2025): 32. https://doi.org/10.3390/fluids10020032.

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Vaccination cold chains depend critically on maintaining temperatures within the 2–8 ∘C range, with phase-change materials (PCMs) like n-tetradecane offering substantial potential due to their high latent heat and optimal melting characteristics. Despite extensive research on PCM melting enhancement, strategies to extend melting duration and thermal stability remain underexplored. This pioneering numerical study investigates the impact of incorporating 5% glycerol additive in n-tetradecane, aiming to decelerate the melting rate and sustain the desired temperature range over prolonged periods.
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17

Kaliszewski, S., Magnus B. Landstad, and John Quigg. "Hecke C*-algebras and semi-direct products." Proceedings of the Edinburgh Mathematical Society 52, no. 1 (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
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18

Blumberg, Christian, Patrick Häuser, Fabian Wefers, et al. "A systematic study of Ga- and N-polar GaN nanowire–shell growth by metal organic vapor phase epitaxy." CrystEngComm 22, no. 33 (2020): 5522–32. http://dx.doi.org/10.1039/d0ce00693a.

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N-polar and Ga-polar (0001) GaN core–shell wires detached from an AlN/Si(111) growth template. Different facets have been identified, limiting the vertical shell growth extension, modelled by varying surface terminations and different H-passivation.
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19

Malysheva, Svetlana V., and Nanette H. N. Sumaya. "Two new species of Heth Cobb, 1898 (Nematoda: Ransomnematoidea) from Northern Mindanao, the Philippines." Nematology 19, no. 9 (2017): 1003–15. http://dx.doi.org/10.1163/15685411-00003102.

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Heth konoplevi n. sp. and Heth initiensis n. sp. are described from an unidentified spirobolid (Rhinocricidae) millipede collected at Mindanao Island, the Philippines. Females of H. konoplevi n. sp. are characterised by the absence of lateral cuticular lappets and the arrangement of lateral spines with an unpaired one in mid-lateral position that brings it closer to H. zeuglocantha from Papua New Guinea. The presence of a cervical collar, lateral cuticular lappets, two pairs of lateral cuticular spines in females and a bursa-like extension around the cloacal region in males of H. initiensis n.
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20

Dong, Jinlei, Fang Li, and Longgang Sun. "Derived equivalence, recollements under $ H $-Galois extensions." AIMS Mathematics 8, no. 2 (2023): 3210–25. http://dx.doi.org/10.3934/math.2023165.

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<abstract><p>In this paper, assume that $ H $ is a Hopf algebra and $ A/B $ is an $ H $-Galois extension. Firstly, by introducing the concept of an $ H $-stable tilting complex $ T_{\bullet} $ over $ B $, we show that $ T_{\bullet}\otimes_BA $ is a tilting complex over $ A $ and a derived equivalence between two $ H $-module algebras can be extended to smash product algebras under some conditions. Then we observe that $ 0\rightarrow {\rm End}_{\mathcal{D}^b(B)}(T_{\bullet})\rightarrow {\rm End}_{\mathcal{D}^b(A)}(T_{\bullet}\otimes_BA) $ is an $ H $-Galois Frobenius extension if $
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21

Guo, Xiu Zhi, Ruo Hui Chen, and Wen Fu Song. "The Research of Influence on Fe-N Alloy Magnetism from Experiment Parameters." Advanced Materials Research 690-693 (May 2013): 470–74. http://dx.doi.org/10.4028/www.scientific.net/amr.690-693.470.

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Fe-N amorphous alloy and ε- FexN alloy were prepared by mechanical ball milling with Fe and solid hexagonal boron nitride (h-BN) as nitrogen resource. The microstructural and magnetic transforming rules of different volume ratios of mixtures of Fe and h-BN (1:12.5, 1:5.4, 1:1.2, and 1:0.38) was studied under different ball-to-powder weight ratios. phase transition and magnetism were characterized with X-ray diffraction and vibrating sample magnetometer (VSM). According to the results, samples of the first three volume ratios have similar phase transition rules in different ball-to-powder weigh
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22

Metaftsis, Vassilis, and Stratos Prassidis. "On the K-theory of certain extensions of free groups." Forum Mathematicum 28, no. 5 (2016): 813–22. http://dx.doi.org/10.1515/forum-2014-0214.

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AbstractSince $\operatorname*{Hol}(F_{n})$ embeds into $\operatorname*{Aut}(F_{n+1})$, one can construct inductively the subgroups ${\mathcal{H}}_{(n)}$ of $\operatorname*{Aut}(F_{n+1})$ by setting ${{\mathcal{H}}_{(1)}=\operatorname*{Hol}(F_{2})}$ and ${{\mathcal{H}}_{(n)}=F_{n+1}\rtimes{\mathcal{H}}_{(n-1)}}$. We show that the FJCw holds for ${\mathcal{H}}_{(n)}$. Moreover, we calculate the lower K-theory for the groups ${\mathcal{H}}_{(n)}$.
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23

LAU, KA–SING, JUN JASON LUO, and HUI RAO. "Topological structure of fractal squares." Mathematical Proceedings of the Cambridge Philosophical Society 155, no. 1 (2013): 73–86. http://dx.doi.org/10.1017/s0305004112000692.

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AbstractGiven an integer n ≥ 2 and a digit set ⊊ {0,1,. . .,n − 1}2, there is a self-similar set F ⊂ ℝ2 satisfying the set equation: F=(F+)/n. We call such F a fractal square. By studying a periodic extension H= F + ℤ2, we classify F into three types according to their topological properties. We also provide some simple criteria for such classification.
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24

GAGOLA, STEPHEN M. "CYCLIC EXTENSIONS OF MOUFANG LOOPS INDUCED BY SEMI-AUTOMORPHISMS." Journal of Algebra and Its Applications 13, no. 04 (2014): 1350128. http://dx.doi.org/10.1142/s0219498813501284.

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It is well-known that if a group G factorizes as G = NH where H ≤ G and N ⊴ G then the group structure of G is determined by the subgroups H and N, the intersection N∩H and how H acts on N with a homomorphism φ : H → Aut (N). Here, we generalize the idea by creating extensions using the semi-automorphism group of N. We show that if G = NH is a Moufang loop, N is a normal subloop, and H = 〈u〉 is a finite cyclic group of order coprime to three then the binary operation of G depends only on the binary operation of N, the intersection N ∩ H, and how u permutes the elements of N as a semi-automorph
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25

SMOLJAK, KSENIJA. "Stolarsky type means related to an extension of H ¨older-type inequality." Creative Mathematics and Informatics 23, no. 1 (2014): 107–14. http://dx.doi.org/10.37193/cmi.2014.01.15.

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In this paper linear functionals related to an extension of Holder-type inequality are defined and their n−exponential convexity is proved. Furthermore, new Stolarsky type means, using families of exponentially convex functions, are defined and their monotonicity property is proved.
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26

Choda, Marie. "Entropy for extensions of Bernoulli shifts." Ergodic Theory and Dynamical Systems 16, no. 6 (1996): 1197–206. http://dx.doi.org/10.1017/s0143385700009986.

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AbstractWe give a condition for automorphisms α and β on finite von Neumann algebras which induces the tensor product formula for entropies: H(α ⊗ β) = H(α) + H(β). As an application, the Bernoulli shift (1/n, 1/n, …, 1/n) has extensions to ergodic outer automorphisms {αk; k = 1,2, …} on the hyperfinite II1 factor R with the entropies H(αk) = (1/2)kn log n.
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27

Bui, Cam Thi Hong, and Tri Minh Nguyen. "On the cominimaxness of generalized local cohomology modules." Science and Technology Development Journal 23, no. 1 (2020): 479–83. http://dx.doi.org/10.32508/stdj.v23i1.1696.

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The local cohomology theory plays an important role in commutative algebra and algebraic geometry. The I-cofiniteness of local cohomology modules is one of interesting properties which has been studied by many mathematicians. The I-cominimax modules is an extension of I-cofinite modules which was introduced by Hartshorne. An R-module M is I-cominimax if Supp_R(M)\subseteq V(I) and Ext^i_R(R/I,M) is minimax for all i\ge 0. In this paper, we show some conditions such that the generalized local cohomology module H^i_I(M,N) is I-cominimax for all i\ge 0. We show that if H^i_I(M,K) is I-cofinite fo
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28

Kouzaki, Motoki, and Minoru Shinohara. "The frequency of alternate muscle activity is associated with the attenuation in muscle fatigue." Journal of Applied Physiology 101, no. 3 (2006): 715–20. http://dx.doi.org/10.1152/japplphysiol.01309.2005.

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Alternate muscle activity between synergist muscles has been demonstrated during low-level sustained contractions [≤5% of maximal voluntary contraction (MVC) force]. To determine the functional significance of the alternate muscle activity, the association between the frequency of alternate muscle activity during a low-level sustained knee extension and the reduction in knee extension MVC force was studied. Forty-one healthy subjects performed a sustained knee extension at 2.5% MVC force for 1 h. Before and after the sustained knee extension, MVC force was measured. The surface electromyogram
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29

Lobreaux, S., S. J. Yewdall, J. F. Briat, and P. M. Harrison. "Amino-acid sequence and predicted three-dimensional structure of pea seed (Pisum sativum) ferritin." Biochemical Journal 288, no. 3 (1992): 931–39. http://dx.doi.org/10.1042/bj2880931.

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The iron storage protein, ferritin, is widely distributed in the living kingdom. Here the complete cDNA and derived amino-acid sequence of pea seed ferritin are described, together with its predicted secondary structure, namely a four-helix-bundle fold similar to those of mammalian ferritins, with a fifth short helix at the C-terminus. An N-terminal extension of 71 residues contains a transit peptide (first 47 residues) responsible for plastid targetting as in other plant ferritins, and this is cleaved before assembly. The second part of the extension (24 residues) belongs to the mature subuni
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30

Kuribayashi, Katsuhiko. "On the vanishing problem of string classes." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 61, no. 2 (1996): 258–66. http://dx.doi.org/10.1017/s1446788700000240.

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AbstractThe ordinary string class is an obstruction to lift the structure group LSpin(n) of a loop group bundle LQ → LM to the universal central extension of LSpin(n) by the circle. The vanishing problem of the ordinary string class and generalized string classes are considered from the viewpoint of the ring structure of the cohomology H*(M; R).
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31

Bełdziński, Michał, Marek Galewski, and Witold Majdak. "On the nonlinear perturbations of self-adjoint operators." Advances in Nonlinear Analysis 11, no. 1 (2022): 1117–33. http://dx.doi.org/10.1515/anona-2022-0235.

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Abstract Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation T x = N ( x ) Tx=N\left(x) , where T T is a self-adjoint operator in a real Hilbert space ℋ {\mathcal{ {\mathcal H} }} and N N is a nonlinear perturbation. Both potential and nonpotential perturbations are considered. This approach is an extension of the results known for elliptic operators.
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32

Sinchuk, S. "Parametrized symmetric groups and the second homology of a group." St. Petersburg Mathematical Journal 32, no. 6 (2021): 1067–80. http://dx.doi.org/10.1090/spmj/1685.

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The notion of a symmetric group parametrized by elements of a group is introduced. It is shown that this group is an extension of a subgroup of the wreath product G ≀ S n G \wr S_n by H 2 ⁡ ( G , Z ) \operatorname {H}_2(G, \mathbb {Z}) . Motivation behind this construction is also discussed.
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33

OCEGUERA-FIGUEROA, ALEJANDRO, and VIRGINIA LEON-REGAGNON. "A new freshwater leech species of Helobdella (Annelida: Glossiphoniidae) from central Mexico." Zootaxa 976, no. 1 (2005): 1. http://dx.doi.org/10.11646/zootaxa.976.1.1.

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Helobdella atli n sp. is described based on the examination of 20 specimens collected in Totolcingo Lake, Tlaxcala, Mexico. Leeches were found attached to submerged rocks and plants. Study of specimens included optical and scanning electron microscopy. Diagnostic characters are: sperm ducts with a long posterior extension, a dorsal nuchal scute on somite VIII, postcaeca absent in the last pair of crop caeca and the mouth pore in the anterior margin of the oral sucker. Previous records of H. adiastola in Mexico correspond to H. atli n. sp.
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34

Ma, Erin S. F., Steven J. Rettig, and Brian R. James. "Extension of the Karplus relationship to vicinal coupling within the P–Ru–S–H moiety of the H2S complexes cis-RuX2(P–N)(PPh3)(SH2) {X = Cl, Br; P–N = [o-(N,N-dimethylamino)phenyl]diphenylphosphine}." Chemical Communications, no. 24 (1999): 2463–64. http://dx.doi.org/10.1039/a907360d.

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35

Arora, P. D., T. He, K. Ng, and C. A. McCulloch. "The leucine-rich region of Flightless I interacts with R-ras to regulate cell extension formation." Molecular Biology of the Cell 29, no. 20 (2018): 2481–93. http://dx.doi.org/10.1091/mbc.e18-03-0147.

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Flightless I (FliI) is a calcium-dependent, actin severing and capping protein that localizes to cell matrix adhesions, contributes to the generation of cell extensions, and colocalizes with Ras. Currently, the mechanism by which FliI interacts with Ras to enable assembly of actin-based cell protrusions is not defined. R-Ras, but not K-ras, H-ras, or N-ras, associated with the leucine-rich region (LRR) of FliI. Mutations of the proline-rich region of R-ras (P202A, P203A) prevented this association. Knockdown of Ras GTPase-activating SH3 domain-binding protein (G3BP1) or Rasgap120 by small inte
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36

Hörig, Heidi, Aideen C. M. Young, Nicholas J. Papadopoulos, Teresa P. DiLorenzo, and Stanley G. Nathenson. "Binding of Longer Peptides to the H-2Kb Heterodimer Is Restricted to Peptides Extended at Their C Terminus: Refinement of the Inherent MHC Class I Peptide Binding Criteria." Journal of Immunology 163, no. 8 (1999): 4434–41. http://dx.doi.org/10.4049/jimmunol.163.8.4434.

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Abstract MHC class I molecules usually bind short peptides of 8–10 amino acids, and binding is dependent on allele-specific anchor residues. However, in a number of cellular systems, class I molecules have been found containing peptides longer than the canonical size. To understand the structural requirements for MHC binding of longer peptides, we used an in vitro class I MHC folding assay to examine peptide variants of the antigenic VSV 8 mer core peptide containing length extensions at either their N or C terminus. This approach allowed us to determine the ability of each peptide to producti
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37

Kataoka, Yoshiaki, Yuki Saito, Ryo Takeda, et al. "Evaluation of Lower-Limb Kinematics during Timed Up and Go (TUG) Test in Subjects with Locomotive Syndrome (LS) Using Wearable Gait Sensors (H-Gait System)." Sensors 23, no. 2 (2023): 687. http://dx.doi.org/10.3390/s23020687.

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Few studies have dealt with lower-limb kinematics during the timed up and go (TUG) test in subjects with locomotive syndrome (LS). This study aimed to evaluate the characteristics of lower-limb kinematics during the TUG test in subjects with LS using the wearable sensor-based H-Gait system. A total of 140 participants were divided into the non-LS (n = 28), the LS-stage 1 (n = 78), and LS-stage 2 (n = 34) groups based on the LS risk test. Compared with the non-LS group, the LS-stage 1 and LS-stage 2 groups showed significantly smaller angular velocity of hip and knee extension during the sit-to
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38

Baron, Kelly, Sarah Trela-Hoskins, Chelsea Allen, Jennifer Duffecy, and Layla Lincoln. "099 A randomized factorial study to understand the components of behavioral sleep extension." Sleep 44, Supplement_2 (2021): A41. http://dx.doi.org/10.1093/sleep/zsab072.098.

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Abstract Introduction Recent studies have demonstrated that behavioral sleep extension can increase sleep duration among short sleepers. However, little is known about the contribution of the intervention components. The goal of this study is to examine the effects of a fitbit and coaching on sleep extension in a behavioral sleep extension intervention. Methods Participants included adults aged 25 to 65 years with sleep duration <7 hours who were randomized into one of four groups: self-management, Fitbit, coaching, or Fitbit + coaching. The self-management group did not receive any int
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39

Reed, Donald, Traci Jarrett, Jeremy Farley, Tony Richards, Deborah McDonald, and Geri Dino. "Lessons of Partnership: Successes and Challenges Associated with the Dissemination of the Not-On-Tobacco Program within Cooperative Extension Service Framework." Journal of Youth Development 11, no. 1 (2016): 77–87. http://dx.doi.org/10.5195/jyd.2016.435.

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Not-On-Tobacco (N-O-T) is a voluntary smoking cessation program for teens. The West Virginia Prevention Research Center (WVPRC) partnered with West Virginia University Extension Service to test a regional implementation model of N-O-T within the current 4-H infrastructure. Directed content analysis was used to allow for pre-determined themes and categories to be assessed by identifying barriers and successes at each phase of model implementation. The project effectively set a foundation of collaboration between Extension and the WVPRC, highlighted the differences between prevention theories an
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40

Juršėnas, Rytis. "On some extensions of the A-model." Opuscula Mathematica 40, no. 5 (2020): 569–97. http://dx.doi.org/10.7494/opmath.2020.40.5.569.

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The A-model for finite rank singular perturbations of class \(\mathfrak{H}_{-m-2}\setminus\mathfrak{H}_{-m-1}\), \(m \in \mathbb{N}\), is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces \((\mathfrak{H}_n)_{n\in\mathbb{Z}}\) admit an orthogonal decomposition \(\mathfrak{H}^-_n \oplus \mathfrak{H}^+_n\), with the corresponding projections satisfying \(P^{\pm}_{n+1}\subseteq P^{\pm}_n\), nontrivial extensions in the A-model are constructed for the symmetric restrictions in the subspaces.
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41

Smith, Graham, and Daniel E. Lynch. "Cyclic heterotetrameric and low-dimensional hydrogen-bonded polymeric structures in the morpholinium salts of ring-substituted benzoic acid analogues." Acta Crystallographica Section C Structural Chemistry 72, no. 2 (2016): 105–11. http://dx.doi.org/10.1107/s2053229615024821.

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The morpholinium (tetrahydro-2H-1,4-oxazin-4-ium) cation has been used as a counter-ion in both inorganic and organic salt formation and particularly in metal complex stabilization. To examine the influence of interactive substituent groups in the aromatic rings of benzoic acids upon secondary structure generation, the anhydrous salts of morpholine with salicylic acid, C4H10NO+·C7H5O3−, (I), 3,5-dinitrosalicylic acid, C4H10NO+·C7H3N2O7−, (II), 3,5-dinitrobenzoic acid, C4H10NO+·C7H3N2O6−, (III), and 4-nitroanthranilic acid, C4H10NO+·C7H5N2O4−, (IV), have been prepared and their hydrogen-bonded
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42

Main, Sawyer, Jennie L. Ivey, Lew G. Strickland, and Justin D. Rhinehart. "98 Using youth hippology contest results as a needs assessment as a framework for a train the trainer program." Journal of Animal Science 102, Supplement_1 (2024): 32–33. http://dx.doi.org/10.1093/jas/skae019.037.

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Abstract Land-Grant Institutions and Cooperative Extension Services seek to disseminate science-based information to the general public and strive to develop the next generation of agriculturists. Extension agents across Tennessee implement youth and adult educational programs to build the knowledge and skill sets of producers and youth. However, Extension agents differ in areas of expertise, leaving some counties with minimal ability to provide 4-H horse project members with sufficient content knowledge while agents in other counties are more well versed in equine-specific areas. Youth (n = 2
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43

Vanhatalo, Anni, Andrew M. Jones, James R. Blackwell, Paul G. Winyard, and Jonathan Fulford. "Dietary nitrate accelerates postexercise muscle metabolic recovery and O2 delivery in hypoxia." Journal of Applied Physiology 117, no. 12 (2014): 1460–70. http://dx.doi.org/10.1152/japplphysiol.00096.2014.

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We tested the hypothesis that the time constants (τ) of postexercise T2* MRI signal intensity (an index of O2 delivery) and muscle [PCr] (an index of metabolic perturbation, measured by 31P-MRS) in hypoxia would be accelerated after dietary nitrate (NO3−) supplementation. In a double-blind crossover design, eight moderately trained subjects underwent 5 days of NO3− (beetroot juice, BR; 8.2 mmol/day NO3−) and placebo (PL; 0.003 mmol/day NO3−) supplementation in four conditions: normoxic PL (N-PL), hypoxic PL (H-PL; 13% O2), normoxic NO3− (N-BR), and hypoxic NO3− (H-BR). The single-leg knee-exte
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44

Han, Sang-Eon. "Topological graphs based on a new topology on Zn and its applications." Filomat 31, no. 20 (2017): 6313–28. http://dx.doi.org/10.2298/fil1720313h.

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Up to now there is no homotopy for Marcus-Wyse (for short M-) topological spaces. In relation to the development of a homotopy for the category of Marcus-Wyse (for short M-) topological spaces on Z2, we need to generalize the M-topology on Z2 to higher dimensional spaces X ? Zn, n ? 3 [18]. Hence the present paper establishes a new topology on Zn; n 2 N, where N is the set of natural numbers. It is called the generalized Marcus-Wyse (for short H-) topology and is denoted by (Zn, n). Besides, we prove that (Z3, 3) induces only 6- or 18-adjacency relations. Namely, (Z3, 3) does not support a 26-
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Richter, Adrian, Richard Goddard, Peter Imming, and Rüdiger W. Seidel. "Crystal structure and antimycobacterial evaluation of 2-(cyclohexylmethyl)-7-nitro-5-(trifluoromethyl)benzo[d]isothiazol-3(2H)-one." Acta Crystallographica Section E Crystallographic Communications 79, no. 12 (2023): 1194–98. http://dx.doi.org/10.1107/s2056989023010137.

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The title compound, C15H15F3N2O3S, crystallizes in the monoclinic system, space group I2/a, with Z = 8. As expected, the nine-membered heterobicyclic system is virtually planar and the cyclohexyl group adopts a chair conformation. There is structural evidence for intramolecular N—S...O chalcogen bonding between the benzisothiazolinone S atom and one O atom of the nitro group, approximately aligned along the extension of the covalent N—S bond [N—S...O = 162.7 (1)°]. In the crystal, the molecules form centrosymmetric dimers through C—H...O weak hydrogen bonding between a C—H group of the electro
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46

Contreras, Sergio, and Alejandro Gil-Villegas. "Confined Quantum Hard Spheres." Entropy 23, no. 6 (2021): 775. http://dx.doi.org/10.3390/e23060775.

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We present computer simulation and theoretical results for a system of N Quantum Hard Spheres (QHS) particles of diameter σ and mass m at temperature T, confined between parallel hard walls separated by a distance Hσ, within the range 1≤H≤∞. Semiclassical Monte Carlo computer simulations were performed adapted to a confined space, considering effects in terms of the density of particles ρ*=N/V, where V is the accessible volume, the inverse length H−1 and the de Broglie’s thermal wavelength λB=h/2πmkT, where k and h are the Boltzmann’s and Planck’s constants, respectively. For the case of extre
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Mcroberts, Christopher A. "A primitive Halobia (Bivalvia: Halobioidea) from the Triassic of northeast British Columbia." Journal of Paleontology 74, no. 4 (2000): 599–603. http://dx.doi.org/10.1017/s002233600003273x.

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Halobia daonellaformis new species is described from the lowermost Carnian of northeast British Columbia. Halobia daonellaformis n. sp. is regarded as a primitive Halobia characterized by external ornamentation similar to Daonella lommeli, but with a poorly developed anterior auricle. Morphologic characters of H. daonellaformis n. sp. suggest that Halobia may be not a natural taxon but a polyphyletic group with one or more ancestors from Daonella and Aparimella and/or other posidoniid(s). The sudden appearance of Halobia throughout the marine Triassic suggests a rapid dispersal mechanism follo
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48

Chovatiya, Raj, Andreas Wollenberg, Simone Ribero, et al. "Improvement of the Head and Neck Regions with Continuous Tralokinumab treatment for Up to 4 years in Adults with Moderate-to-Severe Atopic Dermatitis." SKIN The Journal of Cutaneous Medicine 8, no. 1 (2024): s316. http://dx.doi.org/10.25251/skin.8.supp.316.

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Introduction: Atopic dermatitis (AD) is a chronic, inflammatory disease that can affect multiple regions of the body, but can be particularly burdensome on exposed areas of skin, such as the head and neck (H&N).Tralokinumab, a high-affinity monoclonal antibody that specifically neutralizes interleukin-13, is approved in multiple countries for adults with moderate-to-severe AD. Phase 3 trials showed tralokinumab provided significant improvements in AD severity and was well-tolerated up to 52 weeks of treatment. The ongoing open-label, 5-year extension trial, ECZTEND (NCT03587805), assesses
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49

Faisal, H. Nesayef. "Length Functions and HNN Groups." Journal of Scientific Research & Reports 14, no. 4 (2017): 1–8. https://doi.org/10.9734/JSRR/2017/33282.

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The concept of length functions on groups is first introduced by Lyndon. This is used to give direct proofs of many other results in combinatorial group theory. Two important sets called M and N satisfying some certain axioms of length functions are considered. Finally investigations of the nature and the structures of the sets M and N in relation to the elements of HNN group were carried out.
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50

Barbançon, Gérard P. "Chevalley's theorem in class Cr." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139, no. 4 (2009): 743–58. http://dx.doi.org/10.1017/s0308210507000054.

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Let W be a finite reflection group acting orthogonally on ℝn, P be the Chevalley polynomial mapping determined by an integrity basis of the algebra of W-invariant polynomials, and h be the highest degree of the coordinate polynomials in P. Let r be a positive integer and [r/h] be the integer part of r/h. There exists a linear mapping $\mathcal{C}^r(\mathbb{R}^n)^W\ni f\mapsto F\in\mathcal{C}^{[r/h]}(\mathbb{R}^n)$ such that f = F ∘ P, which is continuous for the natural Fréchet topologies. A general counter-example shows that this result is the best possible. The proof uses techniques of divis
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