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On the existence of frames

R.C. Mullin, P.J. Schellenberg, S.A. Vanstone, W.D. Wallis
1981 Discrete Mathematics  
This result relies heavily on the existence of PBD's since the set F = {u 1 there is a frame of order u] is shown to be PHD-closed.  ...  }, where B(K) denotes the set of orders of PBD's of index one having block-sizes from the set K.  ...  On the existence of frames rrl Theorem 3.1 (see Section 3) states: if there is a skew square of side Q # 13 which contains a skew subsquare of side u3 # 0, and if there is a frame F(u,), then there is  ... 
doi:10.1016/0012-365x(81)90142-4 fatcat:r3wjp2eabzcldg7urslwn2rmqy

On the existence of equiangular tight frames

Mátyás A. Sustik, Joel A. Tropp, Inderjit S. Dhillon, Robert W. Heath
2007 Linear Algebra and its Applications  
Numerical experiments indicate that ETFs arise for very few pairs (d, N), and it is an important challenge to develop restrictions on the pairs for which they can exist.  ...  An equiangular tight frame (ETF) is a d × N matrix that has unit-norm columns and orthogonal rows of norm √ N/d.  ...  We are grateful to the anonymous reviewer whose comments were instrumental in reaching the final version of this paper.  ... 
doi:10.1016/j.laa.2007.05.043 fatcat:z5lxcxchevdk3pk3s5hm5gvao4

On the existence of non-linear frames

Shah Jahan, Varinder Kumar, S.K. Kaushik
2017 Archivum Mathematicum  
In view of the proof of Theorem 2.5, one may observe that existence of approximative Schauder frame in a Hilbert space is a sufficient condition for the space having Markusevic basis to have a SRBF.  ...  In the following result, we prove that the existence of SRBF in the conjugate of a Banach space guarantees the existence of a Bi-Banach frame in the Banach space along with some geometric property.  ... 
doi:10.5817/am2017-2-101 fatcat:trot5g6sezg6hm2uirodakrcyi

On the existence of local frames of CR vector bundles [article]

Tomonori Kajisa
2011 arXiv   pre-print
Given a CR manifold D, we shall show that existence of a CR local frame of a certain CR bundle over D is equivalent to the local imbeddability of D.  ...  This will imply that there exists a CR vector bundle which doesn't have CR local frames.  ...  Acknowledgment The author is grateful to Professor T.Ohsawa for his patient direction and constant support for about three years, and to the referee for his valuable comments.  ... 
arXiv:1102.1870v2 fatcat:z52rj455mrg5dopjlnp6jd2fwa

On the existence of partitionable skew Room frames

Xiande Zhang, Gennian Ge
2007 Discrete Mathematics  
As a byproduct, the known results on the existence of skew Room frames and uniform 4-frames are both improved.  ...  In this paper, we investigate the existence of partitionable skew Room frames of type h n . The necessary conditions for the existence of such a design are that h(n − 1) ≡ 0 (mod 4) and h 5.  ...  Acknowledgments The authors are thankful to the anonymous referees for their helpful comments.  ... 
doi:10.1016/j.disc.2006.11.024 fatcat:xxfl7rucczbs3ddx7dln2roey4

On the Existence and Utility of Rigid Quasilocal Frames [article]

Richard J. Epp, Robert B. Mann, Paul L. McGrath
2013 arXiv   pre-print
The notion of a rigid quasilocal frame (RQF) provides a geometrically natural way to define a system in general relativity, and a new way to analyze the problem of motion.  ...  This is a consequence of the fact that a two-sphere of any shape always admits precisely six conformal Killing vector fields, which generate an action of the Lorentz group on the sphere.  ...  Acknowledgments This work was supported in part by the Natural Sciences and Engineering Research Council of Canada.  ... 
arXiv:1307.1914v1 fatcat:mdry2ly5g5e6rmorzlpka6yei4


2018 Poincare journal of analysis and applications  
Further, we study the interplay between the existence of retro Banach frames in conjugate Banach spaces and the existence of a support cone.  ...  The notion of J -frames in Banach spaces has been defined and studied. A necessary and sufficient condition for the existence of a J -frame in a Banach space has been given.  ...  The theory of frame has grown rapidly in the past one decade in view of wide range of its applications in signal processing, wireless communications(CDMA system) image processing, differential equations  ... 
doi:10.46753/pjaa.2018.v05i01.003 fatcat:7bzapfvnsrcp7gsdy376gjekxm

On the existence of normal Coulomb frames for two-dimensional immersions with higher codimension [article]

Steffen Froehlich, Frank Mueller
2009 arXiv   pre-print
In this paper we consider the existence and regularity problem for Coulomb frames in the normal bundle of two-dimensional surfaces with higher codimension in Euclidean spaces.  ...  While the case of two codimensions can be approached directly by potential theory, more sophisticated methods have to be applied for codimensions greater than two.  ...  Acknowledgement: We are grateful to Ulrich Dierkes and Ruben Jakob for helpful discussions during the preparation of this manuscript.  ... 
arXiv:0906.1865v1 fatcat:jobnst5n7zckpdw3emuh7sds7u

On the Existence of Frames of Some Extremal Odd Unimodular Lattices and Self-Dual Zk-Codes [article]

Masaaki Harada, Tsuyoshi Miezaki
2013 arXiv   pre-print
This result yields the existence of an extremal Type I Zk-code of lengths 12,16,20,32,36,40 and 44 and a near-extremal Type I Zk-code of length 28 for positive integers k with only a few exceptions.  ...  For some extremal (optimal) odd unimodular lattices L in dimensions n=12,16,20,32,36,40 and 44, we determine all positive integers k such that L contains a k-frame.  ...  Hence, by Lemma 4.3, we investigate the existence of a 7-frame in D 2 8 .  ... 
arXiv:1301.5172v1 fatcat:o2yj2lerm5f4vlm27w5rwuhpz4

On the existence of cycle frames and almost resolvable cycle systems

H. Cao, M. Niu, C. Tang
2011 Discrete Mathematics  
Stinson et al. have resolved the existence of (3, λ)-cycle frames of type g u .  ...  Lindner et al. have considered the general existence problem of k-ARCS(n) from the commutative quasigroup for k ≡ 0 (mod 2).  ...  Acknowledgments The authors would like to thank an anonymous referee for his careful reading of the manuscript and many constructive comments and suggestions that greatly improved the readability of this  ... 
doi:10.1016/j.disc.2011.07.008 fatcat:otexovebjff2vaut72marufziy

On the existence of three dimensional Room frames and Howell cubes

J.H. Dinitz, E.R. Lamken, Gregory S. Warrington
2013 Discrete Mathematics  
In addition, we establish the existence of 3-dimensional Room frames of type 2 v for all v ≥ 5 with only a few small possible exceptions for v.  ...  (1) every element of V occurs in precisely one cell of each row and each column, and (2) every unordered pair of elements from V is in at most one cell of the array.  ...  It is straightforward to see that the existence of d pairwise orthogonal holey one-factorizations of K 2n − nK 2 is equivalent to a d-dimensional Room frame of type 2 n .  ... 
doi:10.1016/j.disc.2013.02.017 fatcat:frllwj4gu5bmtmow3ka5wvyk34

On the existence of frames of the Niemeier lattices and self-dual codes over Fp

Masaaki Harada
2009 Journal of Algebra  
Motivated by the work of Montague in 1994, we demonstrate that every Niemeier lattice can be constructed as an even unimodular neighbor of the odd unimodular lattice obtained from some selfdual code over  ...  This implies that every Niemeier lattice contains a 2k-frame for k = 2, 3, . . . , 28.  ...  Acknowledgments The research for this paper was partially carried out while the author was visiting National Center for Theoretical Sciences, National Cheng Kung University, Taiwan.  ... 
doi:10.1016/j.jalgebra.2009.02.001 fatcat:zufdcgj6mfh77iay7ryjesfypi

Effectiveness of Different Techniques on the Seismic Retrofitting of Existing RC Framed Buildings in Saudi Arabia

Ayed Eid Alluqmani
2020 Saudi Journal of Civil Engineering  
In this research, finite elements analysis is utilized, using SAP2000, to study the effectiveness of different techniques on the seismic retrofitting of existing reinforced concrete framed structures.  ...  This study focuses on performance based design of three multi-story RC framed buildings in Madinah, Saudi Arabia, subjecting them to monotonically increasing lateral forces with an invariant height wise  ...  This research focuses on the seismic retrofitting of concrete structures in Saudi Arabia.  ... 
doi:10.36348/sjce.2020.v04i07.002 fatcat:zljchuvp5rh4rcvsidaaxnzr7a

Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves

Rida T. Farouki
2009 Advances in Computational Mathematics  
Simple criteria for the existence of rational rotation-minimizing frames (RRMFs) on quintic space curves are determined, in terms of both the quaternion and Hopf map representations for Pythagorean-hodograph  ...  In the Hopf map form, the characterization is in terms of one real and one complex quadratic constraint on the six complex coefficients.  ...  These frames have one residual freedom, controlling the orientation of the frame vectors f 2 , f 3 in the curve normal plane.  ... 
doi:10.1007/s10444-009-9138-3 fatcat:uxf4lpmapbdpfieaxbb6x4aa2y

Crick's Hypothesis Revisited: The Existence of a Universal Coding Frame

Jean-Louis Lassez, Ryan A. Rossi, Axel E. Bernal
2007 21st International Conference on Advanced Information Networking and Applications Workshops (AINAW'07)  
These results support the existence of a universal coding frame, as the frame of a coding sequence can be determined from one of its fragments, independently from the gene or the organism the coding sequence  ...  This property would imply the existence of a universal coding frame and make the set of coding sequences a locally testable language.  ...  rule out the existence of a universal frame.  ... 
doi:10.1109/ainaw.2007.138 dblp:conf/aina/LassezRB07 fatcat:t5v2mfyhljgnndgj3bz5jsjvji
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