Journal articles: 'Zero-g'

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Jaye, Nathan. "The G-Zero World." CFA Institute Magazine 26, no. 6 (November 2015): 48–50. http://dx.doi.org/10.2469/cfm.v26.n6.16.

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Hewitt, Paul. "ZERO g?" Physics Teacher 60, no. 4 (April 2022): 243. http://dx.doi.org/10.1119/10.0009990.

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Wolff, Mareike. "A class of Newton maps with Julia sets of Lebesgue measure zero." Mathematische Zeitschrift 301, no. 1 (December 26, 2021): 665–711. http://dx.doi.org/10.1007/s00209-021-02932-2.

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AbstractLet $$g(z)=\int _0^zp(t)\exp (q(t))\,dt+c$$ g ( z ) = ∫ 0 z p ( t ) exp ( q ( t ) ) d t + c where p, q are polynomials and $$c\in {\mathbb {C}}$$ c ∈ C , and let f be the function from Newton’s method for g. We show that under suitable assumptions on the zeros of $$g''$$ g ′ ′ the Julia set of f has Lebesgue measure zero. Together with a theorem by Bergweiler, our result implies that $$f^n(z)$$ f n ( z ) converges to zeros of g almost everywhere in $${\mathbb {C}}$$ C if this is the case for each zero of $$g''$$ g ′ ′ that is not a zero of g or $$g'$$ g ′ . In order to prove our result, we establish general conditions ensuring that Julia sets have Lebesgue measure zero.

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Khamdevi, Muhammar, and Firmansyah Bachtiar. "S.H.E.E.P. for Sleeping in Zero-G." Applied Mechanics and Materials 225 (November 2012): 453–57. http://dx.doi.org/10.4028/www.scientific.net/amm.225.453.

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What it is like to sleep in zero gravity? Is it ever occurred to you? Sleep is actually a physical and mental resting state in which a person becomes relatively inactive, unaware of the environment, and is partially detachment from the world. It is a challenge for architects to design in a very extreme environment, which has different gravity, radiation exposure to avoid, the absence of basic needs (water, oxygen, etc.), sense of orientation (where is the top and where is the bottom?) etc. The lack of ability for human to stand straight in zero gravity environment – fetal position – leads to the choosing of that position for designing sleeping compartment in space – mimicking a sleeping baby, which is, in fact, the healthiest sleeping position. This idea becomes our guideline in proposing the design of a sleeping compartment in zero gravity, particularly in space station. It gives potential advantage for reducing the payloads of habitat module; size and weight, which is a common problems in space travel; mainly for reducing fuel and cost. But on the other hand, the quality of a good sleep should be considered, which is the main aspect of this design. What is a feasible sleeping compartment design for optimizing those needs? This research uses a design exploration approach to solve the problems and to find a suitable solution. The end result from this activity is S.H.E.E.P; Safe Haven with Ergonomics and Effective Performance. This sleeping compartment design is a private space for crew to rest comfortably without any interference from the external environment. This compartment is also equipped with necessary tools.

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Plaks, Dmitriy, Elizabeth Nelson, Nesha Hyatt, James Espinosa, Zade Coley, Cathy Tran, and Ben de Mayo. "Zero‐g acoustic fire suppression system." Journal of the Acoustical Society of America 118, no. 3 (September 2005): 1945. http://dx.doi.org/10.1121/1.4781175.

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Galve-Roperh, Ismael, Cristina Sánchez, and Manuel Guzmán. "Signaling at zero g: a comment." Trends in Biochemical Sciences 26, no. 9 (September 2001): 533. http://dx.doi.org/10.1016/s0968-0004(01)01922-3.

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Puls, Michael J. "Zero divisors and $L^p(G)$." Proceedings of the American Mathematical Society 126, no. 3 (1998): 721–28. http://dx.doi.org/10.1090/s0002-9939-98-04025-8.

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8

ROUBINI, NOURIEL. "It Is a G-Zero, Not a G-20, World." New Perspectives Quarterly 28, no. 2 (April 2011): 27–30. http://dx.doi.org/10.1111/j.1540-5842.2011.01237.x.

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9

Hildebrand, Roland. "Extremal Copositive Matrices with Zero Supports of Cardinality n-2." Electronic Journal of Linear Algebra 34 (February 21, 2018): 28–34. http://dx.doi.org/10.13001/1081-3810.3649.

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Let $A \in {\cal C}^n$ be an exceptional extremal copositive $n \times n$ matrix with positive diagonal. A zero $u$ of $A$ is a non-zero nonnegative vector such that $u^TAu = 0$. The support of a zero $u$ is the index set of the positive elements of $u$. A zero $u$ is minimal if there is no other zero $v$ such that $\Supp v \subset \Supp u$ strictly. Let $G$ be the graph on $n$ vertices which has an edge $(i,j)$ if and only if $A$ has a zero with support $\{1,\dots,n\} \setminus \{i,j\}$. In this paper, it is shown that $G$ cannot contain a cycle of length strictly smaller than $n$. As a consequence, if all minimal zeros of $A$ have support of cardinality $n - 2$, then $G$ must be the cycle graph $C_n$.

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BUONO, P.-L., M. HELMER, and J. S. W. LAMB. "On the zero set of G-equivariant maps." Mathematical Proceedings of the Cambridge Philosophical Society 147, no. 3 (July 15, 2009): 735–55. http://dx.doi.org/10.1017/s0305004109990120.

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AbstractLet G be a finite group acting on vector spaces V and W and consider a smooth G-equivariant mapping f: V → W. This paper addresses the question of the zero set of f near a zero x with isotropy subgroup G. It is known from results of Bierstone and Field on G-transversality theory that the zero set in a neighbourhood of x is a stratified set. The purpose of this paper is to partially determine the structure of the stratified set near x using only information from the representations V and W. We define an index s(Σ) for isotropy subgroups Σ of G which is the difference of the dimension of the fixed point subspace of Σ in V and W. Our main result states that if V contains a subspace G-isomorphic to W, then for every maximal isotropy subgroup Σ satisfying s(Σ) > s(G), the zero set of f near x contains a smooth manifold of zeros with isotropy subgroup Σ of dimension s(Σ). We also present partial results in the case of group representations V and W which do not satisfy the conditions of our main theorem. The paper contains many examples and raises several questions concerning the computation of zero sets of equivariant maps. These results have application to the bifurcation theory of G-reversible equivariant vector fields.

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Finn, L. S. "g-modes in zero-temperature neutron stars." Monthly Notices of the Royal Astronomical Society 227, no. 2 (July 1, 1987): 265–93. http://dx.doi.org/10.1093/mnras/227.2.265.

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12

Banik, Katja. "China, Europe and the G-Zero World." China and the World 01, no. 04 (December 2018): 1850027. http://dx.doi.org/10.1142/s259172931850027x.

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What does it mean to live in a world without global leadership? Where is the European Union heading? What impact will Trump’s “America first” policy and China’s Belt and Road Initiative have on tomorrow’s world order? Geopolitical reflections on the G-Zero world.

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Gao, Weidong, Dongchun Han, Jiangtao Peng, and Fang Sun. "On zero-sum subsequences of lengthkexp(G)." Journal of Combinatorial Theory, Series A 125 (July 2014): 240–53. http://dx.doi.org/10.1016/j.jcta.2014.03.006.

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Holly, Jan E. "Perceptual disturbances predicted in zero-g through three-dimensional modeling." Journal of Vestibular Research 13, no. 4-6 (December 28, 2003): 173–86. http://dx.doi.org/10.3233/ves-2003-134-603.

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Perceptual disturbances in zero-g and 1-g differ. For example, the vestibular coriolis (or "cross-coupled") effect is weaker in zero-g. In 1-g, blindfolded subjects rotating on-axis experience perceptual disturbances upon head tilt, but the effects diminish in zero-g. Head tilts during centrifugation in zero-g and 1-g are investigated here by means of three-dimensional modeling, using a model that was previously used to explain the zero-g reduction of the on-axis vestibular coriolis effect. The model's foundation comprises the laws of physics, including linear-angular interactions in three dimensions. Addressed is the question: In zero-g, will the vestibular coriolis effect be as weak during centrifugation as during on-axis rotation? Centrifugation in 1-g was simulated first, with the subject supine, head toward center. The most noticeable result concerned direction of head yaw. For clockwise centrifuge rotation, greater perceptual effects arose in simulations during yaw counterclockwise (as viewed from the top of the head) than for yaw clockwise. Centrifugation in zero-g was then simulated with the same "supine" orientation. The result: In zero-g the simulated vestibular coriolis effect was greater during centrifugation than during on-axis rotation. In addition, clockwise-counterclockwise differences did not appear in zero-g, in contrast to the differences that appear in 1-g.

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Brzostowski, Joseph A., and Alan R. Kimmel. "Signaling at zero G: G-protein-independent functions for 7-TM receptors." Trends in Biochemical Sciences 26, no. 5 (May 2001): 291–97. http://dx.doi.org/10.1016/s0968-0004(01)01804-7.

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Malik, Amita, and Arindam Roy. "On the distribution of zeros of derivatives of the Riemann ξ-function." Forum Mathematicum 32, no. 1 (January 1, 2020): 1–22. http://dx.doi.org/10.1515/forum-2018-0081.

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AbstractFor the completed Riemann zeta function {\xi(s)}, it is known that the Riemann hypothesis for {\xi(s)} implies the Riemann hypothesis for {\xi^{(m)}(s)}, where m is any positive integer. In this paper, we investigate the distribution of the fractional parts of the sequence {(\alpha\gamma_{m})}, where α is any fixed non-zero real number and {\gamma_{m}} runs over the imaginary parts of the zeros of {\xi^{(m)}(s)}. We also obtain a zero density estimate and an explicit formula for the zeros of {\xi^{(m)}(s)}. In particular, all our results hold uniformly for {0\leq m\leq g(T)}, where the function {g(T)} tends to infinity with T and {g(T)=o(\log\log T)}.

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Ward, Robert, Arthur Scheuermann, and Tim Bailey. "Certifying the Dream, The Story of Zero-G." SAE International Journal of Aerospace 1, no. 1 (June 29, 2008): 473–81. http://dx.doi.org/10.4271/2008-01-2156.

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Fiorenza, E., M. Lucente, C. Lefevre, F. Santoli, and V. Iafolla. "Zero-g positioning for the BepiColombo ISA accelerometer." Sensors and Actuators A: Physical 240 (April 2016): 31–40. http://dx.doi.org/10.1016/j.sna.2016.01.036.

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Iwundu, Mary, and Henry Onu. "Equiradial designs under changing axial distances, design sizes and varying center runs with their relationships to the central composite designs." International Journal of Advanced Statistics and Probability 5, no. 2 (July 13, 2017): 77. http://dx.doi.org/10.14419/ijasp.v5i2.7701.

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In assessing the preferences of equiradial designs based on design size, axial distance and number of center points in relation to the central composite designs, D-absolute deviation (D-AD) and G-absolute deviation (G-AD) are proposed as new design measures of closeness of experimental designs. Each absolute deviation is positive or zero. The G-absolute deviation is zero or approximately zero at equals 1 center point. For greater than 1, G-absolute deviation decreases for increasing values of . On the other hand, the D-absolute deviation decreases as the design size increases. Designs having G-AD values of zero or approximately zero are identical or near identical in G-optimality properties. Also, designs having D-AD values of zero or approximately zero are identical or near identical in D-optimality properties. It is conjecturally hoped that at some increased design size, the equiradial designs and the central composite designs, having same axial or radial distance will coincide (be identical) in their properties, with D-AD value of zero or approximately zero.

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Peng, Jiangtao, Guoyou Qian, Fang Sun, and Linlin Wang. "On the structure of n-zero-sum free sequences over cyclic groups of order n." International Journal of Number Theory 10, no. 08 (October 29, 2014): 1991–2009. http://dx.doi.org/10.1142/s1793042114500663.

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Let G be a finite cyclic group of order n. The Erdős–Ginzburg–Ziv theorem states that each sequence of length 2n - 1 over G has a zero-sum subsequence of length n. A sequence without a zero-sum subsequence of length n is called n-zero-sum free. Savchev and Chen characterized all the n-zero-sum free sequences of length n + k - 1 over G, where [Formula: see text]. In the present paper, we determine all the n-zero-sum free sequences of length [Formula: see text] over G.

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Mohammed Salih, H. M., and Rezhna M. Rezhna M. Hussein. "Genus zero of projective symplectic groups." Extracta Mathematicae 37, no. 2 (December 1, 2022): 195–210. http://dx.doi.org/10.17398/2605-5686.37.2.195.

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A transitive subgroup G ≤ SN is called a genus zero group if there exist non identity elements x1 , . . . , xr∈G satisfying G =<x1, . . . , xr>, x1·...·xr=1 and ind x1+...+ind xr = 2N − 2. The Hurwitz space Hinr(G) is the space of genus zero coverings of the Riemann sphere P1 with r branch points and the monodromy group G.In this paper, we assume that G is a finite group with PSp(4, q) ≤ G ≤ Aut(PSp(4, q)) and G acts on the projective points of 3-dimensional projective geometry PG(3, q), q is a prime power. We show that G possesses no genus zero group if q > 5. Furthermore, we study the connectedness of the Hurwitz space Hinr(G) for a given group G and q ≤ 5.

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Willis, G. A. "Translation invariant functionals on Lp (G) when G is not amenable." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 41, no. 2 (October 1986): 237–50. http://dx.doi.org/10.1017/s1446788700033656.

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AbstractIt is shown that if G is a non-amenable group, then there are no non-zero translation invariant functionals on Lp(G) for 1 < p < ∞. Furthermore, if G contains a closed, non-abelian free subgroup, then there are no non-zero translation invariant functionals on C0(G). The latter is proved by showing that a certain non-invertible convolution operator on C0(G) is surjective.

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Hu, Yuting, Jiangtao Peng, and Mingrui Wang. "On Modified Erdős-Ginzburg-Ziv constants of finite abelian groups." AIMS Mathematics 8, no. 3 (2023): 6697–704. http://dx.doi.org/10.3934/math.2023339.

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<abstract><p>Let $ G $ be a finite abelian group with exponent $ \exp(G) $ and $ S $ be a sequence with elements of $ G $. We say $ S $ is a zero-sum sequence if the sum of the elements in $ S $ is the zero element of $ G $. For a positive integer $ t $, let $ \mathtt{s}_{t\exp(G)}(G) $ (respectively, $ \mathtt{s}'_{t\exp(G)}(G) $) denote the smallest integer $ \ell $ such that every sequence (respectively, zero-sum sequence) $ S $ over $ G $ with $ |S|\geq \ell $ contains a zero-sum subsequence of length $ t\exp(G) $. The invariant $ \mathtt{s}_{t\exp(G)}(G) $ (respectively, $ \mathtt{s}'_{t\exp(G)}(G) $) is called the Generalized Erdős-Ginzburg-Ziv constant (respectively, Modified Erdős-Ginzburg-Ziv constant) of $ G $. In this paper, we discuss the relationship between Generalized Erdős-Ginzburg-Ziv constant and Modified Erdős-Ginzburg-Ziv constant, and determine $ \mathtt{s}'_{t\exp(G)}(G) $ for some finite abelian groups.</p></abstract>

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Papaxanthis, C., T. Pozzo, K. E. Popov, and J. McIntyre. "Hand trajectories of vertical arm movements in one- G and zero- G environments." Experimental Brain Research 120, no. 4 (May 25, 1998): 496–502. http://dx.doi.org/10.1007/s002210050423.

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Neerajah, A., and P. Subramanian. "A STUDY ON ZERO-M CORDIAL LABELING." Advances in Mathematics: Scientific Journal 9, no. 11 (November 3, 2020): 9207–18. http://dx.doi.org/10.37418/amsj.9.11.26.

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A labeling $f: E(G) \rightarrow \{1, -1\}$ of a graph G is called zero-M-cordial, if for each vertex v, the arithmetic sum of the labels occurrence with it is zero and $|e_{f}(-1) - e_{f}(1)| \leq 1$. A graph G is said to be Zero-M-cordial if a Zero-M-cordial label is given. Here the exploration of zero - M cordial labelings for deeds of paths, cycles, wheel and combining two wheel graphs, two Gear graphs, two Helm graphs. Here, also perceived that a zero-M-cordial labeling of a graph need not be a H-cordial labeling.

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Gao, Weidong, Siao Hong, and Jiangtao Peng. "On zero-sum subsequences of length kexp⁡(G) II." Journal of Combinatorial Theory, Series A 187 (April 2022): 105563. http://dx.doi.org/10.1016/j.jcta.2021.105563.

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Deerfield, Kat. "Queer in Zero G: An interview with Frank Pietronigro." Assuming Gender 4, no. 1 (March 1, 2014): 72. http://dx.doi.org/10.18573/ipics.68.

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GAO, Haibo, Feng HAO, Zongquan DENG, Zhen LIU, Liang DING, and Honghao YUE. "Zero-g Simulation of Space Manipulator in Furled Status." ROBOT 33, no. 1 (August 3, 2011): 9–15. http://dx.doi.org/10.3724/sp.j.1218.2011.00009.

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Bi, Ran, Zili Feng, Xinqi Li, Jingjing Niu, Jingyue Wang, Youguo Shi, Dapeng Yu, and Xiaosong Wu. "Spin zero and large Landé g-factor in WTe2." New Journal of Physics 20, no. 6 (June 20, 2018): 063026. http://dx.doi.org/10.1088/1367-2630/aacbef.

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Leadley, D. R., R. J. Nicholas, D. K. Maude, A. N. Utjuzh, J. C. Portal, J. J. Harris, and C. T. Foxon. "Fractional Quantum Hall Effect Measurements at Zero g Factor." Physical Review Letters 79, no. 21 (November 1997): 4246–49. http://dx.doi.org/10.1103/physrevlett.79.4246.

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Yoshino, Yuji. "A functorial approach to modules of G-dimension zero." Illinois Journal of Mathematics 49, no. 2 (April 2005): 345–67. http://dx.doi.org/10.1215/ijm/1258138022.

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محمود, صدفة محمد. "G-Zero World : تحديات متصاعدة لأدوار التجمعات الاقتصادية العالمية." اتجاهات الأحداث, no. 27 (August 2018): 58–61. http://dx.doi.org/10.12816/0059853.

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Dominic, Charles. "Zero forcing number of degree splitting graphs and complete degree splitting graphs." Acta Universitatis Sapientiae, Mathematica 11, no. 1 (August 1, 2019): 40–53. http://dx.doi.org/10.2478/ausm-2019-0004.

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Abstract A subset ℤ ⊆ V(G) of initially colored black vertices of a graph G is known as a zero forcing set if we can alter the color of all vertices in G as black by iteratively applying the subsequent color change condition. At each step, any black colored vertex has exactly one white neighbor, then change the color of this white vertex as black. The zero forcing number ℤ (G), is the minimum number of vertices in a zero forcing set ℤ of G (see [11]). In this paper, we compute the zero forcing number of the degree splitting graph (𝒟𝒮-Graph) and the complete degree splitting graph (𝒞𝒟𝒮-Graph) of a graph. We prove that for any simple graph, ℤ [𝒟𝒮(G)] k + t, where ℤ (G) = k and t is the number of newly introduced vertices in 𝒟𝒮(G) to construct it.

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Gröchenig, Karlheinz, Philippe Jaming, and Eugenia Malinnikova. "Zeros of the Wigner distribution and the short-time Fourier transform." Revista Matemática Complutense 33, no. 3 (December 2, 2019): 723–44. http://dx.doi.org/10.1007/s13163-019-00335-w.

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AbstractWe study the question under which conditions the zero set of a (cross-) Wigner distribution W(f, g) or a short-time Fourier transform is empty. This is the case when both f and g are generalized Gaussians, but we will construct less obvious examples consisting of exponential functions and their convolutions. The results require elements from the theory of totally positive functions, Bessel functions, and Hurwitz polynomials. The question of zero-free Wigner distributions is also related to Hudson’s theorem for the positivity of the Wigner distribution and to Hardy’s uncertainty principle. We then construct a class of step functions S so that the Wigner distribution $$W(f,\mathbf {1}_{(0,1)})$$ W ( f , 1 ( 0 , 1 ) ) always possesses a zero $$f\in S \cap L^p$$ f ∈ S ∩ L p when $$p<\infty $$ p < ∞ , but may be zero-free for $$f\in S \cap L^\infty $$ f ∈ S ∩ L ∞ . The examples show that the question of zeros of the Wigner distribution may be quite subtle and relate to several branches of analysis.

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Downarowicz, Tomasz, Dawid Huczek, and Guohua Zhang. "Tilings of amenable groups." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 747 (February 1, 2019): 277–98. http://dx.doi.org/10.1515/crelle-2016-0025.

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Abstract We prove that for any infinite countable amenable group G, any {\varepsilon>0} and any finite subset {K\subset G} , there exists a tiling (partition of G into finite “tiles” using only finitely many “shapes”), where all the tiles are {(K,\varepsilon)} -invariant. Moreover, our tiling has topological entropy zero (i.e., subexponential complexity of patterns). As an application, we construct a free action of G (in the sense that the mappings, associated to elements of G other than the unit, have no fixed points) on a zero-dimensional space, such that the topological entropy of this action is zero.

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REDMOND, SHANE P. "RECOVERING RINGS FROM ZERO-DIVISOR GRAPHS." Journal of Algebra and Its Applications 12, no. 08 (July 31, 2013): 1350047. http://dx.doi.org/10.1142/s0219498813500473.

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Suppose G is the zero-divisor graph of some commutative ring with 1. When G has four or more vertices, a method is presented to find a specific commutative ring R with 1 such that Γ(R) ≅ G. Furthermore, this ring R can be written as R ≅ R1 × R2 × ⋯ × Rn, where each Ri is local and this representation of R is unique up to factors Ri with isomorphic zero-divisor graphs. It is also shown that for graphs on four or more vertices, no local ring has the same zero-divisor graph as a non-local ring and no reduced ring has the same zero-divisor graph as a non-reduced ring.

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Klute, Glenn K., Albert Rodriguez, and Lyndon B. Johnson. "Test and Evaluation of a Zero-G Treadmill Restraint System." Proceedings of the Human Factors Society Annual Meeting 36, no. 1 (October 1992): 136–40. http://dx.doi.org/10.1177/154193129203600132.

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Manned spaceflight missions result in human exposure to reduced gravity environments, during which the human body undergoes some pronounced physiological changes. Exercise has been identified as a practical and operationally acceptable countermeasure to the physiological responses to “zero-gravity”. At the National Aeronautics and Space Administration's Johnson Space Center, a new treadmill is under development for use on Shuttle flights. One of the main challenges of this project is the development of an effective restraint system. The restraint system must place a body weight load on the subject while the subject exercises in zero-gravity. Additionally, the restraint system must allow the subject to exercise in zero-gravity at various percent grades (treadmill slopes). This paper discusses the restraint system of a prototype treadmill and zero-gravity test results. The results indicate the manually operated, prototype restraint system has some limitations and that a real-time feedback system utilizing a servo operated adjustment mechanism would significantly enhance performance.

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Tian, Yanzhao, and Lixiang Li. "Comments on the Clique Number of Zero-Divisor Graphs of Z n." Journal of Mathematics 2022 (March 29, 2022): 1–11. http://dx.doi.org/10.1155/2022/6591317.

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In 2008, J. Skowronek-kazi o ´ w extended the study of the clique number ω G Z n to the zero-divisor graph of the ring Z n , but their result was imperfect. In this paper, we reconsider ω G Z n of the ring Z n and give some counterexamples. We propose a constructive method for calculating ω G Z n and give an algorithm for calculating the clique number of zero-divisor graph. Furthermore, we consider the case of the ternary zero-divisor and give the generation algorithm of the ternary zero-divisor graphs.

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Wang, Linlin. "Tiny zero-sum sequences over some special groups." Open Mathematics 18, no. 1 (July 27, 2020): 820–28. http://dx.doi.org/10.1515/math-2020-0040.

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Abstract Let S={g}_{1}\cdot \ldots \cdot {g}_{n} be a sequence with elements {g}_{i} from an additive finite abelian group G. S is called a tiny zero-sum sequence if S is non-empty, {g}_{1}+\hspace{0.2em}\ldots \hspace{0.2em}+{g}_{n}=0 and k(S):= {\sum }_{i=1}^{n}\frac{1}{\text{ord}({g}_{i})}\le 1 . Let t(G) be the smallest integer t such that every sequence of t elements (repetition allowed) from G contains a tiny zero-sum sequence. In this article, we mainly focus on the explicit value of t(G) and compute this value for a new class of groups, namely ones of the form G={C}_{3}\oplus {C}_{3p} , where p is a prime number such that p\ge 5 .

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Zhang, Bo, Yixin Yang, and Yufeng Lu. "Products of Toeplitz Operators on the 2-Analytic Bergman Space." Journal of Function Spaces 2021 (October 4, 2021): 1–9. http://dx.doi.org/10.1155/2021/6227981.

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Let f and g be bounded functions, and let T f and T g be Toeplitz operators on A 2 2 D . We show that if the product T f T g equals zero and one of f and g is a radial function satisfying a Mellin transform condition, then the other function must be zero.

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Pirzada, S., Rameez Raja, and Shane Redmond. "Locating sets and numbers of graphs associated to commutative rings." Journal of Algebra and Its Applications 13, no. 07 (May 2, 2014): 1450047. http://dx.doi.org/10.1142/s0219498814500479.

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For a graph G(V, E) with order n ≥ 2, the locating code of a vertex v is a finite vector representing distances of v with respect to vertices of some ordered subset W of V(G). The set W is a locating set of G(V, E) if distinct vertices have distinct codes. A locating set containing a minimum number of vertices is a minimum locating set for G(V, E). The locating number denoted by loc (G) is the number of vertices in the minimum locating set. Let R be a commutative ring with identity 1 ≠ 0, the zero-divisor graph denoted by Γ(R), is the (undirected) graph whose vertices are the nonzero zero-divisors of R with two distinct vertices joined by an edge when the product of vertices is zero. We introduce and investigate locating numbers in zero-divisor graphs of a commutative ring R. We then extend our definition to study and characterize the locating numbers of an ideal based zero-divisor graph of a commutative ring R.

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42

Šolc, Karel, Karel Dušek, Ronald Koningsveld, and Hugo Berghmans. ""Zero" and "Off-Zero" Critical Concentrations in Solutions of Polydisperse Polymers with Very High Molar Masses." Collection of Czechoslovak Chemical Communications 60, no. 10 (1995): 1661–88. http://dx.doi.org/10.1135/cccc19951661.

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Polymer solutions with a concentration-dependent interaction parameter g(ϕ) are known to have sometimes critical polymer concentrations ϕc converging to a non-zero value (a so-called "off-zero" limiting critical point (CP)), as the chain length, m, grows to infinity, rather than to zero as usual (a "zero" limiting CP). In this report the criteria for the existence of both types, known for binary solutions with a linear g = g0 + g1ϕ, are extended to cover polydisperse polymers with a quadratic interaction function g(ϕ). Its coefficients g2 and ∆g2 = g2 - g1 determine the number and type of limiting CPs. Accordingly, the plane g2, ∆g2 is divided into the regions I (a zero CP), II (an off-zero CP), and III (a zero + two off-zero CPs). The region II is restricted to the half-plane with ∆g2 < -1/6, whereas the other half-plane with ∆g2 > -1/6 is shared by I and III. By varying the interactions, two limiting CPs may be brought together and merged in a heterogeneous double limiting CP. Such instances define the boundaries between the regions: at the I/III line, two off-zero CPs merge, whereas at the II/III line an off-zero CP coincides with a zero CP. A first-order perturbation theory of the latter double CPs, and a second-order perturbation theory of single "zero" CPs are developed, enabling meaningful extrapolations of data on polymers with high but finite molar masses. The latter theory yields extrapolation formulas for determination of Η-temperature, taking into account the polymer polydispersity and the concentration dependence of g. Solutions of polyisobutene in diphenyl ether and, possibly, in benzene appear to present experimental examples of off-zero limiting critical concentrations.

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BENEISH, ESTHER. "NOETHER SETTINGS FOR CENTRAL EXTENSIONS OF GROUPS WITH ZERO SCHUR MULTIPLIER." Journal of Algebra and Its Applications 01, no. 01 (March 2002): 107–12. http://dx.doi.org/10.1142/s0219498802000100.

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Let G be a finite group, and let F be an algebraically closed field. The rational extension of F, F(G) = F(xg : g ∈ G) with G action given by hxg = xhg for g, h ∈ G, is referred to as the Noether setting for G. We show that if G is a group with zero Schur multiplier, then for any central extension G′ of G, F(G′)G′ and F(G)G are stably equivalent over F. That is, F(G)G is stably rational over F if and only if F(G′)G′ is stably rational over F. In particular, if G is a cyclic group or an abelian group with zero Schur multiplier, then F(G′) is stably rational over F.

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44

Clarke, Andrew H., and Ludmila Kornilova. "Ocular torsion response to active head-roll movement under one-g and zero-g conditions." Journal of Vestibular Research 17, no. 2-3 (March 1, 2008): 99–111. http://dx.doi.org/10.3233/ves-2007-172-305.

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Transitions to and from microgravity, as experienced during a spaceflight mission, radically alter the demands on sensorimotor coordination. In this contribution, attention is directed to the vestibulo-oculomotor response to active head roll-tilt, generally referred to as ocular counterroll (OCR). Results are presented from a single-case longitudinal study over a 435-day spaceflight and from three further subjects over a 30-day period in microgravity. 1. Under one-g test conditions, with the head initially in the comfortable-upright position, active head-to-trunk roll tilt elicits a combined canal- and otolith-mediated oculomotor response, which manifests as a volley of torsional nystagmus beats combined with a tonic OCR. In microgravity it appears that only the transitory canal-mediated torsional nystagmus response remains. In both conditions the initial nystagmus response commences with an anticompensatory torsional fast phase. 2. Under zero-g conditions the head movements were comparable to those under one-g conditions but a consistent reduction in head velocity was observed. Despite this, eye velocity and eye-head velocity gain for the torsional component were found to be enhanced by up to 50% over the first thirty days in prolonged microgravity. 3. The results obtained from the 435-day mission indicate that the initially enhanced response decreases – over the course of several months – to preflight baseline level. The findings indicate that otolith- and canal-ocular responses are not simply added linearly, but rather that the afferent otolith signal also plays an inhibitory, or stabilising role on the canal-mediated response. Further, presuming a re-weighting of otolithic afferent information during prolonged microgravity, it is proposed that a corollary inverse re-weighting of corollary neck-proprioceptive afferences provides an effective substitute. In contrast to the idea that the torsional VOR is an evolutionary relic, it is postulated from the above findings that the anticompensatory saccade and the inherent low gain of OCR result as a compromise between intended reorientation to a tilted visual field and VOR compensation.

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45

Balas, Gary J., and Charles D. Babcock. "Identification of the zero-g shape of a space beam." Journal of Spacecraft and Rockets 25, no. 6 (November 1988): 405–12. http://dx.doi.org/10.2514/3.26020.

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46

Mason, Geoffrey. "$G$-elliptic systems and the genus zero problem for $M_24$." Bulletin of the American Mathematical Society 25, no. 1 (July 1, 1991): 45–54. http://dx.doi.org/10.1090/s0273-0979-1991-16021-0.

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Dekhane, Sonal. "Install anywhere tutorial and reference guide by Zero G Team." ACM SIGSOFT Software Engineering Notes 35, no. 5 (October 22, 2010): 57. http://dx.doi.org/10.1145/1838687.1862451.

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Mackenzie, I., E. Viirre, JM Vanderploeg, and ER Chilvers. "Zero G in a patient with advanced amyotrophic lateral sclerosis." Lancet 370, no. 9587 (August 2007): 566. http://dx.doi.org/10.1016/s0140-6736(07)61292-6.

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49

Merino-Cruz, Héctor, and Antoni Wawrzyńczyk. "On Closed Ideals in a Certain Class of Algebras of Holomorphic Functions." Canadian Mathematical Bulletin 58, no. 2 (June 1, 2015): 350–55. http://dx.doi.org/10.4153/cmb-2015-003-6.

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AbstractWe recently introduced a weighted Banach algebra of functions that are holomorphic on the unit disc D, continuous up to the boundary, and of the class C(n) at all points where the function G does not vanish. Here, G refers to a function of the disc algebra without zeros on D. Then we proved that all closed ideals in with at most countable hull are standard. In this paper, on the assumption that G is an outer function in C(n) having infinite roots in and countable zero set h0(G), we show that all the closed ideals I with hull containing h0(G) are standard.

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50

Eroh, Linda, Cong X. Kang, and Eunjeong Yi. "On zero forcing number of graphs and their complements." Discrete Mathematics, Algorithms and Applications 07, no. 01 (February 2, 2015): 1550002. http://dx.doi.org/10.1142/s1793830915500020.

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The zero forcing number, Z(G), of a graph G is the minimum cardinality of a set S of black vertices (whereas vertices in V(G)\S are colored white) such that V(G) is turned black after finitely many applications of "the color-change rule": a white vertex is converted to a black vertex if it is the only white neighbor of a black vertex. Zero forcing number was introduced and used to bound the minimum rank of graphs by the "AIM Minimum Rank-Special Graphs Work Group". It is known that Z(G) ≥ δ(G), where δ(G) is the minimum degree of G. We show that Z(G) ≤ n - 3 if a connected graph G of order n has a connected complement graph [Formula: see text]. Further, we characterize a tree or a unicyclic graph G which satisfies either [Formula: see text] or [Formula: see text].

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Journal articles on the topic 'Zero-g'

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