| 4451. |
- Hormozi, Mahdi, 1980
(författare)
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Inclusion of Lambda BV(p) spaces in the classes H-omega(q)
- 2013
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Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 404:2, s. 195-200
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Tidskriftsartikel (refereegranskat)abstract
- A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. This corrects and extends an earlier result of a paper from 2005.
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| 4452. |
- Hormozi, Mahdi, 1980, et al.
(författare)
-
Inclusions of Waterman-Shiba spaces into generalized Wiener classes
- 2014
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Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 419:1, s. 428-432
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Tidskriftsartikel (refereegranskat)abstract
- The characterization of the inclusion of Waterman-Shiba spaces Lambda BV(p) into generalized Wiener classes of functions BV (q; delta) is given. It uses a new and shorter proof and extends an earlier result of U. Goginava.
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| 4453. |
- Hormozi, Mahdi, 1980, et al.
(författare)
-
New bounds for bilinear Calderon-Zygmund operators and applications
- 2015
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Ingår i: ArXiv.
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Annan publikation (övrigt vetenskapligt/konstnärligt)abstract
- In this work we extend Lacey's domination theorem to prove the pointwise control of bilinear Calderon--Zygmund operators with Dini--continuous kernel by sparse operators. The precise bounds are carefully tracked following the spirit in a recent work of Hyt\"onen, Roncal and Tapiola. We also derive new mixed weighted estimates for a general class of bilinear dyadic positive operators using multiple $A_{\infty}$ constants inspired in the Fujii-Wilson and Hrus\v{c}\v{e}v classical constants. These estimates have many new applications including mixed bounds for multilinear Calderon--Zygmund operators and their commutators with $BMO$ functions, square functions and multilinear Fourier multipliers.
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| 4454. |
- Hormozi, Mahdi, 1980, et al.
(författare)
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On p-Λ-bounded variation
- 2011
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Ingår i: Bulletin of the Iranian Mathematical Society. - 1735-8515 .- 1018-6301 .- 1017-060X. ; 37:4, s. 35-49
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Tidskriftsartikel (refereegranskat)abstract
- A characteriation of continuity of the p-Lambda-variation function is given and the Helly's selection principle for Lambda BV(p) functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class Lambda BV(p) is found.
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| 4455. |
- Hormozi, Mahdi, 1980, et al.
(författare)
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Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters
- 2016
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Ingår i: The Electronic Journal of Linear Algebra. - : University of Wyoming Libraries. - 1081-3810. ; 31, s. 263-285
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Tidskriftsartikel (refereegranskat)abstract
- This paper provides some properties of Brauer symmetry classes of tensors. A dimension formula is derived for the orbital subspaces in the Brauer symmetry classes of tensors corresponding to the irreducible Brauer characters of the groups whose non-linear Brauer characters have support being a cyclic group. Using the derived formula, necessary and sufficient condition are investigated for the existence of an o-basis of dicyclic groups, semi-dihedral groups, and also those things are reinvestigated on dihedral groups. Some criteria for the non-vanishing elements in the Brauer symmetry classes of tensors associated to those groups are also included.
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| 4456. |
- Hormozi, Mahdi, 1980, et al.
(författare)
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Symmetry classes of tensors associated with the Semi-Dihedral groups SD8n
- 2013
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Ingår i: Colloquium Mathematicum. - : Institute of Mathematics, Polish Academy of Sciences. - 0010-1354 .- 1730-6302. ; 131:1, s. 59-67
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Tidskriftsartikel (refereegranskat)abstract
- We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups SD8n. In particular, a necessary and sufficient condition for the existence of such a basis associated with SD8n and degree two characters is given.
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| 4457. |
- Hormozi, Mahdi, 1980
(författare)
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Topics on Function Spaces and Multilinear Algebra
- 2013
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Licentiatavhandling (övrigt vetenskapligt/konstnärligt)abstract
- The present thesis consists of three different papers. Indeed, they treat two different research areas: function spaces and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on the modulus of variation of functions of class $\Lambda BV^{(p)}$ is found. In paper II, a characterization of the inclusion of Waterman-Shiba classes into $H_{\omega}^{q}$ is given. This corrects and extends an earlier result of a paper from 2005. In paper III, we discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $SD_{8n}$. The dimensions of these symmetry classes of tensors are also computed.
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| 4458. |
- Hormozi, Mahdi, 1980
(författare)
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Topics on Harmonic analysis and Multilinear Algebra
- 2015
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- The present thesis consists of six different papers. Indeed, they treat three different research areas: function spaces, singular integrals and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on the modulus of variation of functions of class $\Lambda BV^{(p)}$ is found. In paper II, a characterization of the inclusion of Waterman-Shiba classes into $H_{\omega}^{q}$ is given. This corrects and extends an earlier result of a paper from 2005. In paper III, the characterization of the inclusion of Waterman-Shiba spaces $\:\Lambda BV^{(p)}\:$ into generalized Wiener classes of functions $BV(q;\,\delta)$ is given. It uses a new and shorter proof and extends an earlier result of U. Goginava. In paper IV, we discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with Semi-dihedral groups $SD_{8n}$. In paper V, we discuss o-bases of symmetry classes of tensors associated with the irreducible Brauer characters of the Dicyclic and Semi-dihedral groups. As in the case of Dihedral groups [46], it is possible that $V_\phi(G)$ has no o-basis when $\phi$ is a linear Brauer character. Let $\vec{P}=(p_1,\dotsc,p_m)$ with $1
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| 4459. |
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| 4460. |
- Horn, Christian, 1978, et al.
(författare)
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Artificial Intelligence, 3D Documentation, and Rock Art—Approaching and Reflecting on the Automation of Identification and Classification of Rock Art Images
- 2022
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Ingår i: Journal of archaeological method and theory. - : Springer Science and Business Media LLC. - 1072-5369 .- 1573-7764. ; 29, s. 188-213
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Tidskriftsartikel (refereegranskat)abstract
- Rock art carvings, which are best described as petroglyphs, were produced by removing parts of the rock surface to create a negative relief. This tradition was particularly strong during the Nordic Bronze Age (1700–550 BC) in southern Scandinavia with over 20,000 boats and thousands of humans, animals, wagons, etc. This vivid and highly engaging material provides quantitative data of high potential to understand Bronze Age social structures and ideologies. The ability to provide the technically best possible documentation and to automate identification and classification of images would help to take full advantage of the research potential of petroglyphs in southern Scandinavia and elsewhere. We, therefore, attempted to train a model that locates and classifies image objects using faster region-based convolutional neural network (Faster-RCNN) based on data produced by a novel method to improve visualizing the content of 3D documentations. A newly created layer of 3D rock art documentation provides the best data currently available and has reduced inscribed bias compared to older methods. Several models were trained based on input images annotated with bounding boxes produced with different parameters to find the best solution. The data included 4305 individual images in 408 scans of rock art sites. To enhance the models and enrich the training data, we used data augmentation and transfer learning. The successful models perform exceptionally well on boats and circles, as well as with human figures and wheels. This work was an interdisciplinary undertaking which led to important reflections about archaeology, digital humanities, and artificial intelligence. The reflections and the success represented by the trained models open novel avenues for future research on rock art.
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