Academic literature on the topic 'Hadamard'

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Journal articles on the topic "Hadamard"

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Almutairi, Ohud, and Adem Kılıçman. "New Generalized Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals." Symmetry 12, no. 4 (April 5, 2020): 568. http://dx.doi.org/10.3390/sym12040568.

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In this paper, a new identity for the generalized fractional integral is defined. Using this identity we studied a new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal sets involving Katugampola type fractional integral is established. This fractional integral generalizes Riemann-Liouville and Hadamard’s integral, which possess a symmetric property. We derive trapezoid and mid-point type inequalities connected to this generalized Hermite-Hadamard inequality.
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Sudsutad, Weerawat, Sotiris K. Ntouyas, and Jessada Tariboon. "Fractional Integral Inequalities via Hadamard’s Fractional Integral." Abstract and Applied Analysis 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/563096.

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We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.
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Pachpatte, B. G. "A note on Hadamard type integral inequalities involving several log-convex functions." Tamkang Journal of Mathematics 36, no. 1 (March 31, 2005): 43–47. http://dx.doi.org/10.5556/j.tkjm.36.2005.134.

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In this note, two new inegral inequalities of Hadamard type involving several differentiable log-convex functions are given. Two refinements of Hadamard's integral inequality for log-convex functions recently established by Dragomir are shown to be recaptured as special instances.
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Muddassar, Muhammad, Muhammad Iqbal, Tahira Jabeen, and Ghulam haider. "A Stimulus Generalization of Double Integral Inequalities by the way of Fractional Integrals." International Journal of Emerging Multidisciplinaries: Mathematics 1, no. 1 (January 14, 2022): 66–74. http://dx.doi.org/10.54938/ijemdm.2022.01.1.19.

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This study presents some of the latest results annexed to Hermite Hadamard inequality by utilizing double integrals by the way of Riemann-Liouville fractional integrals. Another aim of this article is to generalize some of the recent developments on Hermite Hadamard's type inequalities.
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Kuperberg, Vivian. "Hadamard Matrices Modulopand Small Modular Hadamard Matrices." Journal of Combinatorial Designs 24, no. 9 (May 6, 2016): 393–405. http://dx.doi.org/10.1002/jcd.21522.

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Arma, Sovia, Yanita Yanita, and Nova Noliza Bakar. "SIFAT-SIFAT OPERASI HADAMARD PADA MATRIKS." Jurnal Matematika UNAND 7, no. 4 (February 19, 2019): 61. http://dx.doi.org/10.25077/jmu.7.4.61-68.2018.

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Tulisan ini membahas tentang sifat-sifat operasi Hadamard pada matriks, dimana operasi Hadamard merupakan operasi perkalian elemen-elemen yang bersesuaian dari dua matriks A dan B yang berukuran sama. Sifat-sifat operasi Hadamard yang dibahas pada tulisan ini adalah sifat-sifat dasar operasi Hadamard dan sifat-sifat operasi Hadamard terhadap definit positif dan definit taknegatif.Kata Kunci: Matriks, Operasi Hadamard, Sifat-Sifat Dasar, Definit Positif, Definit Taknegatif
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Kharaghani, Hadi, Thomas Pender, Caleb Van't Land, and Vlad Zaitsev. "Bush-type Butson Hadamard matrices." Glasnik Matematicki 58, no. 2 (December 27, 2023): 247–57. http://dx.doi.org/10.3336/gm.58.2.07.

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Bush-type Butson Hadamard matrices are introduced. It is shown that a nonextendable set of mutually unbiased Butson Hadamard matrices is obtained by adding a specific Butson Hadamard matrix to a set of mutually unbiased Bush-type Butson Hadamard matrices. A class of symmetric Bush-type Butson Hadamard matrices over the group \(G\) of \(n\)-th roots of unity is introduced that is also valid over any subgroup of \(G\). The case of Bush-type Butson Hadamard matrices of even order will be discussed.
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İşcan, İmdat. "Hermite-Hadamard and Simpson Type Inequalities for Differentiable P-GA-Functions." International Journal of Analysis 2014 (May 22, 2014): 1–6. http://dx.doi.org/10.1155/2014/125439.

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The author introduces the concept of the P-GA-functions, gives Hermite-Hadamard's inequalities for P-GA-functions, and defines a new identity. By using this identity, the author obtains new estimates on generalization of Hadamard and Simpson type inequalities for P-GA-functions. Some applications to special means of real numbers are also given.
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Kahane, Jean-Pierre. "Jacques Hadamard." Mathematical Intelligencer 13, no. 1 (December 1991): 23–29. http://dx.doi.org/10.1007/bf03024068.

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Blanchet, Luc, and Guillaume Faye. "Hadamard regularization." Journal of Mathematical Physics 41, no. 11 (November 2000): 7675–714. http://dx.doi.org/10.1063/1.1308506.

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Dissertations / Theses on the topic "Hadamard"

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Bailera, Martín Ivan. "Hadamard, quasi-Hadamard, and generalized Hadamard full propelinear codes." Doctoral thesis, TDX (Tesis Doctorals en Xarxa), 2020. http://hdl.handle.net/10803/670384.

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Aquesta tesi pertany als camps de la combinatòria algebraica i de la teoria matemàtica de la informació. Motivada per l’avantatge computacional de l’estructura full propelinear, estudiem diferents tipus de codis correctors d’errors dotats d’aquesta estructura. Com que un codi full propelinear és també un grup, és possible generar el codi a partir de les paraules associades als generadors com a grup, fins i tot si el codi és no lineal. Això ofereix els beneficis d’emmagatzematge d’un codi lineal. Rifà i Suárez van definir els codis full propelinear sobre matrius Hadamard binàries (HFP-codis) i van provar una equivalència amb els grups Hadamard. L’existència de matrius Hadamard d’ordres múltiple de quatre segueix sent un problema obert. Per tant, l’estudi de nous codis Hadamard pot contribuir a abordar la conjectura de Hadamard. Un codi amb una estructura full propelinear està compost per dos conjunts; paraules i permutacions. Definim el grup associat d’un HFP-codi com el grup format per les permutacions. Primerament, estudiem els HFP-codis amb un grup associat fixat. El següent pas és generalitzar a cossos finits els HFP-codis binaris. Després vam provar que l’existència de codis Hadamard full propelinear generalitzats és equivalent a l’existència de conjunts de diferències relatius amb paràmetres (v,w,v,v/w). A més, construïm famílies infinites de codis Hadamard full propelinear generalitzats no lineals. Finalment, definim el concepte de codi quasi-Hadamard full propelinear. També donem una equivalència entre els grups quasi-Hadamard i els codis quasi-Hadamard full propelinear. En tots els codis estudiats, analitzem el rang i la dimensió del nucli. Dos paràmetres que proporcionen informació sobre la linealitat d’un codi i sobre la noequivalència de codis.
Esta tesis pertenece a los campos de la combinatoria algebraica y de la teoría matemática de la información. Motivada por la ventaja computacional de la estructura full propelinear, estudiamos diferentes tipos de códigos correctores de errores dotados de dicha estructura. Como un código full propelinear es también un grupo, es posible generar el código a partir de las palabras asociadas a los generadores como grupo, incluso si el código es no lineal. Esto ofrece los beneficios de almacenamiento de un código lineal. Rifà y Suárez definieron los códigos full propelinear sobre matrices Hadamard binarias (HFP-códigos) y probaron una equivalencia con los grupos Hadamard. La existencia de matrices Hadamard de órdenes múltiplo de cuatro sigue siendo un problema abierto. Por tanto, el estudio de nuevos códigos Hadamard puede contribuir a abordar la conjetura de Hadamard. Un código con una estructura full propelinear está compuesto por dos conjuntos; palabras y permutaciones. Definimos el grupo asociado de un HFP-código como el grupo formado por las permutaciones. Primeramente, estudiamos los HFP-códigos con un grupo asociado fijado. El siguiente paso es generalizar a cuerpos finitos los HFP-códigos binarios. Después probamos que la existencia de códigos Hadamard full propelinear generalizados es equivalente a la existencia de conjuntos de diferencias relativos con parámetros (v,w,v,v/w). Además, construimos familias infinitas de códigos Hadamard full propelinear generalizados no lineales. Finalmente, definimos el concepto de código quasi-Hadamard full propelinear. También damos una equivalencia entre los grupos quasi-Hadamard y los códigos quasi-Hadamard full propelinear. En todos los códigos estudiados, analizamos el rango y la dimensión del núcleo. Dos parámetros que proporcionan información sobre la linealidad de un código y sobre la no equivalencia de códigos.
This thesis belongs to the fields of algebraic combinatorics and mathematical information theory. Motivated by the computational advantage of the full propelinear structure, we study different kinds of error-correcting codes endowed with this structure. Since a full propelinear code is also a group, it is possible to generate the code from the codewords associated to the generators as a group, even if the code is nonlinear. This offers the data storage benefits of a linear code. Rifà and Suárez introduced full propelinear codes based on binary Hadamard matrices (HFP-codes) and they proved an equivalence with Hadamard groups. The existence of Hadamard matrices of orders a multiple of four remains an open problem. Therefore, the study of new Hadamard codes may contribute to address the Hadamard conjecture. A code with a full propelinear structure is composed of two sets, i.e., codewords and permutations. We define the associated group of an HFP-code as the group comprised of the permutations. Firstly, we study the HFP-codes with a fixed associated group. The next step is to generalize the binary HFP-codes to finite fields. Subsequently, we prove that the existence of generalized Hadamard full propelinear codes is equivalent to the existence of central relative (v,w,v,v/w)-difference sets. Furthermore, we build infinite families of nonlinear generalized Hadamard full propelinear codes. Finally, we introduce the concept of quasi-Hadamard full propelinear code. We also give an equivalence between quasi-Hadamard groups and quasi-Hadamard full propelinear codes. In all codes studied, we analyze the rank and the dimension of the kernel. Two parameters that provide information about the linearity of a code, and also about the nonequivalence of codes.
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Parker, Keli Siqueiros. "Multilevel Hadamard Matrices." Wright State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=wright1307537681.

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Buteau, Samuel. "Finding Hadamard and (epsilon,delta)-Quasi-Hadamard Matrices with Optimization Techniques." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35119.

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Existence problems (proving that a set is nonempty) abound in mathematics, so we look for generally applicable solutions (such as optimization techniques). To test and improve these techniques, we apply them to the Hadamard Conjecture (proving that Hadamard matrices exist in dimensions divisible by 4), which is a good example to study since Hadamard matrices have interesting applications (communication theory, quantum information theory, experiment design, etc.), are challenging to find, are easily distinguished from other matrices, are known to exist for many dimensions, etc.. In this thesis we study optimization algorithms (Exhaustive search, Hill Climbing, Metropolis, Gradient methods, generalizations thereof, etc.), improve their performance (when using a Graphical Processing Unit), and use them to attempt to find Hadamard matrices (real, and complex). Finally, we give an algorithm to prove non-trivial lower bounds on the Hamming distance between any given matrix with elements in {+1,-1} and the set of Hadamard matrices, then we use this algorithm to study matrices with similar properties to Hadamard matrices, but which are far away (with respect to the Hamming distance) from them.
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Merchant, Eric. "Structural properties of Hadamard designs /." view abstract or download file of text, 2005. http://www.lib.umi.com/cr/uoregon/fullcit?p3181114.

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Thesis (Ph. D.)--University of Oregon, 2005.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 58-59). Also available for download via the World Wide Web; free to University of Oregon users.
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Van, Diggelen Frank Stephen Tromp. "Hadamard weighting in robust control." Thesis, University of Cambridge, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.359401.

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Arslan, Aykut. "Discrete Fractional Hermite-Hadamard Inequality." TopSCHOLAR®, 2017. http://digitalcommons.wku.edu/theses/1940.

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This thesis is comprised of three main parts: The Hermite-Hadamard inequality on discrete time scales, the fractional Hermite-Hadamard inequality, and Karush-Kuhn- Tucker conditions on higher dimensional discrete domains. In the first part of the thesis, Chapters 2 & 3, we define a convex function on a special time scale T where all the time points are not uniformly distributed on a time line. With the use of the substitution rules of integration we prove the Hermite-Hadamard inequality for convex functions defined on T. In the fourth chapter, we introduce fractional order Hermite-Hadamard inequality and characterize convexity in terms of this inequality. In the fifth chapter, we discuss convexity on n{dimensional discrete time scales T = T1 × T2 × ... × Tn where Ti ⊂ R , i = 1; 2,…,n are discrete time scales which are not necessarily periodic. We introduce the discrete analogues of the fundamental concepts of real convex optimization such as convexity of a function, subgradients, and the Karush-Kuhn-Tucker conditions. We close this thesis by two remarks for the future direction of the research in this area.
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Zohner, Jochen [Verfasser]. "Idealtheorie in Hadamard-Algebren / Jochen Zohner." Gießen : Universitätsbibliothek, 2013. http://d-nb.info/1065183682/34.

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Bërdëllima, Arian [Verfasser]. "Investigations in Hadamard spaces / Arian Bërdëllima." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2021. http://nbn-resolving.de/urn:nbn:de:gbv:7-21.11130/00-1735-0000-0008-58F4-2-2.

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Tressler, Eric Paul. "A Survey of the Hadamard Conjecture." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/9898.

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Hadamard matrices are defined, and their basic properties outlined. A survey of historical and recent literature follows, in which a number of existence theorems are examined and given context. Finally, a new result for Hadamard matrices over $\Z_2$ is presented and given a graph-theoretic interpretation.
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Fok, Hou Kei. "Generalizations of some Hermite-Hadamard-type inequalities." Thesis, University of Macau, 2012. http://umaclib3.umac.mo/record=b2592934.

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Books on the topic "Hadamard"

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Agaian, S. S. Hadamard transforms. Bellingham, Wash: SPIE, 2011.

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Hadamard matrices and their applications. Berlin: Springer-Verlag, 1985.

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Agaian, S. S. Hadamard Matrices and Their Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0101073.

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Yarlagadda, R. K. Rao, and John E. Hershey. Hadamard Matrix Analysis and Synthesis. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6313-6.

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Mazʹi͡a, V. G. Jacques Hadamard: A universal mathematician. Providence, R.I: American Mathematical Society, 1998.

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Mazʹi︠a︡, V. G. Jacques Hadamard: A universal mathematician. Providence, R.I: American Mathematical Society, 1999.

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Hadamard matrices and their applications. Princeton, N.J: Princeton University Press, 2007.

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Colbourn, Charles J., ed. Algebraic Design Theory and Hadamard Matrices. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17729-8.

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Dappiaggi, Claudio, Valter Moretti, and Nicola Pinamonti. Hadamard States from Light-like Hypersurfaces. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64343-4.

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Xin, Niu Xin, and Xu Cheng Qing, eds. Theory and applications of higher-dimension Hadamard matrices. 2nd ed. Boca Raton: Taylor & Francis, 2010.

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Book chapters on the topic "Hadamard"

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Vermani, L. R. "Hadamard matrices and Hadamard codes." In Elements of Algebraic Coding Theory, 242–50. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-7268-2_11.

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Vermani, L. R. "Hadamard matrices and Hadamard codes." In Elements of Algebraic Coding Theory, 242–50. Boca Raton: Routledge, 2022. http://dx.doi.org/10.1201/9780203758533-11.

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Graham, Colin C., and Kathryn E. Hare. "Hadamard Sets." In CMS Books in Mathematics, 1–18. Boston, MA: Springer US, 2012. http://dx.doi.org/10.1007/978-1-4614-5392-5_1.

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Murty, M. Ram. "Hadamard Products." In Problems in Analytic Number Theory, 331–56. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3441-6_16.

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Murty, M. Ram. "Hadamard Products." In Problems in Analytic Number Theory, 85–99. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3441-6_6.

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Wallis, W. D. "Hadamard Matrices." In Combinatorial and Graph-Theoretical Problems in Linear Algebra, 235–43. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-8354-3_14.

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Ahmad Dar, Mayasar, and Deepmala Sharma. "Revisiting the Genomics and Genetic Codes Using Walsh-Hadamard Spectrum Analysis." In Proceedings of the Conference BioSangam 2022: Emerging Trends in Biotechnology (BIOSANGAM 2022), 106–13. Dordrecht: Atlantis Press International BV, 2022. http://dx.doi.org/10.2991/978-94-6463-020-6_11.

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AbstractWalsh-Hadamard spectrum is widely used in the field of science and technology like classification of cancer cells, image processing, speech processing, signal and image compression etc. In this paper, a genomic analysis using Walsh-Hadamard spectrum and cross-correlation has been done. Transformation of genetic code using Walsh-Hadamard spectrum has been given. We redefine the Walsh-Hadamard spectrum in genomics and analyse the origin of mRNA features by using this spectra. Finally, using Walsh-Hadamard spectrum the overall energy of the mRNA sequence has been evaluated.
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Yarlagadda, R. K. Rao, and John E. Hershey. "A Hadamard Matrix." In Hadamard Matrix Analysis and Synthesis, 3. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6313-6_2.

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Hertel, Doreen. "Extended Hadamard Equivalence." In Sequences and Their Applications – SETA 2006, 119–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11863854_10.

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Kotsireas, Ilias S. "Structured Hadamard Conjecture." In Number Theory and Related Fields, 215–27. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6642-0_11.

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Conference papers on the topic "Hadamard"

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Loos, H. G. "Quadratic Hadamard memories." In 1990 IJCNN International Joint Conference on Neural Networks. IEEE, 1990. http://dx.doi.org/10.1109/ijcnn.1990.137656.

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Park, Ki-Hyeon, and Hong-Yeop Song. "Quasi-Hadamard matrix." In 2010 IEEE International Symposium on Information Theory - ISIT. IEEE, 2010. http://dx.doi.org/10.1109/isit.2010.5513675.

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Шарипов, Руслан. "Pseudo-Hadamard matrices." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh2t-2021-10-06.100.

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Gan, Lu, Kezhi Li, and Cong Ling. "Golay meets Hadamard: Golay-paired Hadamard matrices for fast compressed sensing." In 2012 IEEE Information Theory Workshop (ITW 2012). IEEE, 2012. http://dx.doi.org/10.1109/itw.2012.6404755.

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Li, Kai, Xiaodong Wang, and Alexei Ashikhmin. "EXIT Functions of Hadamard Components in Repeat-Zigzag-Hadamard (RZH) Codes." In 2007 IEEE International Symposium on Information Theory. IEEE, 2007. http://dx.doi.org/10.1109/isit.2007.4557335.

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Morris, Michael D., Anurag Govil, Kei-Lee Liu, and Rong-Sheng Sheng. "Hadamard-transform Raman imaging." In GC Is - DL tentative, edited by M. Bonner Denton. SPIE, 1991. http://dx.doi.org/10.1117/12.50467.

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Agaian, Sos S., Khaled Tourshan, and Joseph P. Noonan. "Parametric Slant-Hadamard transforms." In Electronic Imaging 2003, edited by Edward R. Dougherty, Jaakko T. Astola, and Karen O. Egiazarian. SPIE, 2003. http://dx.doi.org/10.1117/12.473064.

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Fateley, W. G., D. C. Tilotta, and James E. Griffiths. "Hadamard Transform Raman Spectroscopy." In 31st Annual Technical Symposium, edited by Fran Adar and James E. Griffiths. SPIE, 1988. http://dx.doi.org/10.1117/12.941949.

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Horadam, K. J. "A generalised Hadamard transform." In Proceedings. International Symposium on Information Theory, 2005. ISIT 2005. IEEE, 2005. http://dx.doi.org/10.1109/isit.2005.1523490.

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Huiser, A., and Bernhard Braunecker. "Coded Hadamard Hartmann Sensor." In 15th Int'l Optics in Complex Sys. Garmisch, FRG, edited by F. Lanzl, H. J. Preuss, and G. Weigelt. SPIE, 1990. http://dx.doi.org/10.1117/12.34888.

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Reports on the topic "Hadamard"

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Author, Not Given. (Hadamard Raman imaging). Office of Scientific and Technical Information (OSTI), January 1991. http://dx.doi.org/10.2172/5090154.

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Parlett, Beresford N. What Hadamard Missed,. Fort Belvoir, VA: Defense Technical Information Center, March 1996. http://dx.doi.org/10.21236/ada327603.

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Morris, M. D. Hadamard transform imaging. Office of Scientific and Technical Information (OSTI), January 1992. http://dx.doi.org/10.2172/7017710.

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Parlett, Beresford N. What Hadamard Missed,. Fort Belvoir, VA: Defense Technical Information Center, March 1996. http://dx.doi.org/10.21236/ada310609.

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Zare, Richard N., Matthew D. Robbins, Griffin K. Barbula, and Richard Perry. Hadamard Transform Time-of-Flight Spectroscopy. Fort Belvoir, VA: Defense Technical Information Center, January 2010. http://dx.doi.org/10.21236/ada564594.

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WEHLBURG, JOSEPH C., CHRISTINE M. WEHLBURG, JODY L. SMITH, OLGA B. SPAHN, MARK W. SMITH, and CRAIG M. BONEY. High Speed 2D Hadamard Transform Spectral Imager. Office of Scientific and Technical Information (OSTI), February 2003. http://dx.doi.org/10.2172/808596.

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Zare, Richard N., Matthew D. Robbins, Griffin K. Barbula, and Richard Perry. Hadamard Transform Time-of-Flight Mass Spectrometry. Fort Belvoir, VA: Defense Technical Information Center, January 2010. http://dx.doi.org/10.21236/ada589689.

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8

Hall, W. Hadamard transform spectrometry: A new analytical technique. Office of Scientific and Technical Information (OSTI), November 1989. http://dx.doi.org/10.2172/5356165.

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Bekar, Kerim. Hermite–Hadamard Type Inequalities for Trigonometrically P‑functions. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, December 2019. http://dx.doi.org/10.7546/crabs.2019.11.01.

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Loos, Hendricus G. Quadratic Hadamard Memories 1: Adaptive Stochastic Content-Addressable Memory. Fort Belvoir, VA: Defense Technical Information Center, December 1989. http://dx.doi.org/10.21236/ada217224.

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