Academic literature on the topic 'Bessel'

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Journal articles on the topic "Bessel"

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Novelli, Jean-Christophe, and Jean-Yves Thibon. "Noncommutative Symmetric Bessel Functions." Canadian Mathematical Bulletin 51, no. 3 (2008): 424–38. http://dx.doi.org/10.4153/cmb-2008-043-3.

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AbstractThe consideration of tensor products of 0-Hecke algebramodules leads to natural analogs of the BesselJ-functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.
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Daher, Radouan, and Mohamed El Hamma. "Bessel Transform of -Bessel Lipschitz Functions." Journal of Mathematics 2013 (2013): 1–3. http://dx.doi.org/10.1155/2013/418546.

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Lenyuk, M. P. "Hybrid integral transformations (Bessel, Legendre, Bessel)." Ukrainian Mathematical Journal 43, no. 6 (1991): 719–28. http://dx.doi.org/10.1007/bf01058939.

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Nahid, Tabinda, and Mahvish Ali. "Several characterizations of Bessel functions and their applications." Georgian Mathematical Journal 29, no. 1 (2021): 83–93. http://dx.doi.org/10.1515/gmj-2021-2108.

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Abstract The present work deals with the mathematical investigation of some generalizations of Bessel functions. The main motive of this paper is to show that the generating function can be employed efficiently to obtain certain results for special functions. The complex form of Bessel functions is introduced by means of the generating function. Certain enthralling properties for complex Bessel functions are investigated using the generating function method. By considering separately the real and the imaginary part of complex Bessel functions, we get respectively cosine-Bessel functions and si
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Joshi, C. M., and S. K. Bissu. "Some inequalities of Bessel and modified Bessel functions." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 50, no. 2 (1991): 333–42. http://dx.doi.org/10.1017/s1446788700032791.

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AbstractTwo-sided inequalties for the ratio of modified Bessel functions of first kind are given, which provide sharper upper and lower bounds than had been known earlier. Wronskian type inequalities for Bessel functions are proved, and in the sequel alternative proofs of Turan-type inequalities for Bessel and modified Bessel functions are also discussed. These then lead to a two-sided inequality for Bessel functions. Also incorporated in the discussion is an inequality for the ratio of two Bessel functions for 0 < x < 1. Verifications of these inequalities are pointed out numerically.
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Dixit, M. M., C. P. Pandey, and Deepanjan Das. "The continuous generalized wavelet transform associated with q-Bessel operator." Boletim da Sociedade Paranaense de Matemática 41 (December 21, 2022): 1–10. http://dx.doi.org/10.5269/bspm.52810.

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The continuous generalized wavelet transform associated with -Bessel operator is defined, which will invariably be called continuous -Bessel wavelet transform . Certain and boundedness results and inversion formula for continuous -Bessel wavelet transform are obtained. Discrete -Bessel wavelet transform is defined and a reconstruction formula is derived for discrete- Bessel wavelet.
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Ifantis, E. K., and P. D. Siafarikas. "Inequalities involving Bessel and modified Bessel functions." Journal of Mathematical Analysis and Applications 147, no. 1 (1990): 214–27. http://dx.doi.org/10.1016/0022-247x(90)90394-u.

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Hu, X., H. Wang, and D. S. Guo. "Phased Bessel functions." Canadian Journal of Physics 86, no. 7 (2008): 863–70. http://dx.doi.org/10.1139/p08-009.

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In the study of photon-state transitions, we found a natural extension of the first kind of Bessel functions that extends both the range and domain of the Bessel functions from the real number field to the complex number field. We term the extended Bessel functions as phased Bessel functions. This extension is completely different from the traditional “analytical extension”. The new complex Bessel functions satisfy addition, subtraction, and recurrence theorems in a complex range and a complex domain. These theorems provide short cuts in calculations. The single-phased Bessel functions are gen
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Upadhyay, S. K., Reshma Singh, and Alok Tripathi. "The relation between Bessel wavelet convolution product and Hankel convolution product involving Hankel transform." International Journal of Wavelets, Multiresolution and Information Processing 15, no. 04 (2017): 1750030. http://dx.doi.org/10.1142/s0219691317500308.

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In this paper, the relation between Bessel wavelet convolution product and Hankel convolution product is obtained by using the Bessel wavelet transform and the Hankel transform. Approximation results of the Bessel wavelet convolution product are investigated by exploiting the Hankel transformation tool. Motivated from the results of Pinsky, heuristic treatment of the Bessel wavelet transform is introduced and other properties of the Bessel wavelet transform are studied.
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Satsanit. "On the Bessel Operator Related to Bessel Wave Equation and Laplace Bessel Equation." Journal of Advanced Research in Applied Mathematics 6, no. 2 (2014): 82–98. http://dx.doi.org/10.5373/jaram.1730.041513.

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Dissertations / Theses on the topic "Bessel"

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Elad, Altman Henri. "Integration by parts formulae for the laws of Bessel bridges, and Bessel stochastic PDEs." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS441.

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Dans cette thèse, nous obtenons des formules d’intégration par parties pour les lois de ponts de Bessel de dimension δ > 0, étendant ainsi les formules précédemment obtenues par Zambotti dans le cas δ ≥ 3. Ceci nous permet d’identifier la structure de certaines EDP stochastiques (EDPS) ayant la loi d’un pont de Bessel de dimension δ ∈ (0, 3) pour mesure invariante, et qui étendent de manière naturelle les EDPS considérées précédemment par Zambotti dans le cas δ ≥ 3. Nous nommons ces équations EDPS de Bessel, et les écrivons à l’aide de temps locaux renormalisés. Dans les cas particuliers δ
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Maahs, Ilse [Verfasser], and Hans Rudolf [Akademischer Betreuer] Lerche. "Curved boundary crossing of bessel processes." Freiburg : Universität, 2016. http://d-nb.info/1119717701/34.

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Dallaire, Michael. "Faisceaux Bessel spatiotemporels : théorie et expérimentation." Thesis, Université Laval, 2013. http://www.theses.ulaval.ca/2013/29894/29894.pdf.

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Les travaux présentés dans cette thèse portent en premier lieu sur l’établissement d’un modèle théorique décrivant une nouvelle famille de faisceaux invariants reposant sur une distribution correspondant à la fonction de Bessel dans le plan spatiotemporel, d’où leur nom de faisceaux Bessel spatiotemporels (BST). Le modèle analytique décrivant ces faisceaux n’a pas de bornes physiques, ce qui se traduit par une impossibilité de les générer expérimentalement. Il est cependant possible dans les faits de limiter l’étendue spatiale et temporelle de ceux-ci en utilisant par exemple une enveloppe gau
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Noshirvani, Allahabadi Golchehr, and Allahabadi Golchehr Noshirvani. "Bessel Light Sheet Structured Illumination Microscopy." Diss., The University of Arizona, 2016. http://hdl.handle.net/10150/621810.

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Biomedical study researchers using animals to model disease and treatment need fast, deep, noninvasive, and inexpensive multi-channel imaging methods. Traditional fluorescence microscopy meets those criteria to an extent. Specifically, two-photon and confocal microscopy, the two most commonly used methods, are limited in penetration depth, cost, resolution, and field of view. In addition, two-photon microscopy has limited ability in multi-channel imaging. Light sheet microscopy, a fast developing 3D fluorescence imaging method, offers attractive advantages over traditional two-photon and confo
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Dallaire, Michaël. "Faisceaux Bessel spatiotemporels : théorie et expérimentation." Doctoral thesis, Université Laval, 2013. http://hdl.handle.net/20.500.11794/24630.

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Les travaux présentés dans cette thèse portent en premier lieu sur l’établissement d’un modèle théorique décrivant une nouvelle famille de faisceaux invariants reposant sur une distribution correspondant à la fonction de Bessel dans le plan spatiotemporel, d’où leur nom de faisceaux Bessel spatiotemporels (BST). Le modèle analytique décrivant ces faisceaux n’a pas de bornes physiques, ce qui se traduit par une impossibilité de les générer expérimentalement. Il est cependant possible dans les faits de limiter l’étendue spatiale et temporelle de ceux-ci en utilisant par exemple une enveloppe gau
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Fay, TH, and PH Kloppers. "The Gibbs’ phenomenon for Fourier–Bessel series." International Journal of Mathematical Education in Science and Technology, 2003. http://encore.tut.ac.za/iii/cpro/DigitalItemViewPage.external?sp=1001984.

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Summary The paper investigates the Gibbs’ phenomenon at a jump discontinuity for Fourier–Bessel series expansions. The unexpected thing is that the Gibbs’ constant for Fourier–Bessel series appears to be the same as that for Fourier series expansions. In order to compute the coefficients for Fourier–Bessel functionsefficiently, several integral formulasare derived and the Struve functions and their asymptotic expansions discussed, all of which significantly ease the computations. Three numerical examples are investigated. Findings suggest further investigations suitable for undergraduate resea
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Omoefe, Idisi David, and Andrew Forbes. "Creation and detection of Vector Bessel Beams." Thesis, University of Fort Hare, 2016. http://hdl.handle.net/10353/1785.

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Bessel beams are optical fields which falls into the category of non-diffracting beams. Vector Bessel beams are vector beams possessing cylindrical symmetry. Cylindrically symmetric beams tend to have a tight focal point during propagation. The tight focal beam nature of vector Bessel beams makes them a good potential in various facets of science such as biological optical trapping, wireless communications, remote sensing, microscopy etc. In this research work, vector Bessel beams were generated using the phase of an Axicon that was encoded into a spatial light modulator. Firstly, scalar Besse
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Qi, Zhi. "Theory of Bessel Functions of High Rank." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1428530485.

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Ouadghiri, Idrissi Ismail. "Nonlinear instabilities and filamentation of Bessel beams." Thesis, Bourgogne Franche-Comté, 2018. http://www.theses.fr/2018UBFCD071/document.

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Un faisceau de Bessel est un champ électromagnétique résistant à la diffraction. il peut se propager en préservant son profile transversal d'intensité même en régime de filamentation. Ceci est très avantageux pour les applications laser de haute puissance, en particulier parce qu’ils permettent de générer des canaux de plasma homogènes dans les diélectriques. Cependant, à haute intensité, les impulsions laser ultracourtes subissent, dans certaines conditions expérimentales (faible focalisation), des instabilités non linéaires entraînant la modulation d’intensité du lobe central au cours de la
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Fortin, Pierre-Yves. "Figure d'interférence par faisceaux Bessel, étude et applications." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/mq33637.pdf.

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Books on the topic "Bessel"

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Lawrynowicz, Kasimir. Friedrich Wilhelm Bessel 1784–1846. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9069-4.

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Center, Lewis Research, ed. Review of nondiffracting Bessel beams. Sverdrup Technology Lewis Research Center Group, 1991.

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Lavrinovich, K. K. Friedrich Wilhelm Bessel, 1784-1846. Boston, 1995.

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Cholewinski, Frank M. The finite calculus associated with Bessel functions. American Mathematical Society, 1988.

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Rappoport, I︠U︡ M. Metody vychislenii︠a︡ i tablit︠s︡y modifit︠s︡irovannykh funkt︠s︡iĭ Besseli︠a︡: Uchebnoe posobie. MATI, 2008.

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Rappoport, I︠U︡ M. Metody vychislenii︠a︡ i tablit︠s︡y modifit︠s︡irovannykh funkt︠s︡iĭ Besseli︠a︡: Uchebnoe posobie. MATI, 2008.

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Baricz, Árpád, Dragana Jankov Maširević, and Tibor K. Pogány. Series of Bessel and Kummer-Type Functions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-74350-9.

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Baricz, Árpád. Generalized Bessel Functions of the First Kind. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12230-9.

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Watson, G. N. A treatise on the theory of Bessel functions. Merchant Books, 2008.

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Watson, G. N. A treatise on the theory of Bessel functions. 2nd ed. Cambridge University Press, 1995.

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Book chapters on the topic "Bessel"

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Mitschke, Fedor. "Bessel Functions." In Fiber Optics. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-52764-1_15.

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Akhmedova, Valeriya, and Emil T. Akhmedov. "Bessel Functions." In SpringerBriefs in Physics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-35089-5_5.

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Katori, Makoto. "Bessel Processes." In Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model. Springer Singapore, 2015. http://dx.doi.org/10.1007/978-981-10-0275-5_1.

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Zambotti, Lorenzo. "Bessel Processes." In Lecture Notes in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52096-4_3.

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Mitschke, Fedor. "Bessel Functions." In Fiber Optics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03703-0_15.

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Beebe, Nelson H. F. "Bessel functions." In The Mathematical-Function Computation Handbook. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64110-2_21.

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Koranga, Bipin Singh, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal. "Bessel Function." In Special Functions and their Application. River Publishers, 2022. http://dx.doi.org/10.1201/9781003339595-4.

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Schwinger, Julian, and Kimball A. Milton. "Bessel Functions." In Classical Electrodynamics, 2nd ed. CRC Press, 2024. http://dx.doi.org/10.1201/9781003057369-18.

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Zhu, Yichao. "Bessel Functions." In Equations and Analytical Tools in Mathematical Physics. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-5441-1_5.

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Zhu, Yichao. "Bessel Functions." In Equations and Analytical Tools in Mathematical Physics. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-5441-1_5.

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Conference papers on the topic "Bessel"

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Bravo-Cassab, P., J. E. Gómez-Correa, and S. Chávez-Cerda. "Propagation of Bessel beams in lenslike media." In Latin America Optics and Photonics Conference. Optica Publishing Group, 2024. https://doi.org/10.1364/laop.2024.w2b.3.

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Dong, Xin, Minghui Shi, Hongsen He, and Kenneth Kin-Yip Wong. "Twin Bessel Beams for Depth-Resolved Microscopy." In Computational Optical Sensing and Imaging. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cosi.2024.ctu3b.2.

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We demonstrated twin Bessel beams with a z-to-x linear mapping relationship with R2 = 0.9976 in a range of 55 μm, improved by 72%, which potentially provides ability to resolve the depth in volumetric imaging.
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Masirevic, Dragana Jankov, Tibor K. Pogany, Arpad Bariez, and Aurel Galantai. "Sampling bessel functions and bessel sampling." In 2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI). IEEE, 2013. http://dx.doi.org/10.1109/saci.2013.6608942.

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Salamin, Yousef I. "Bessel-Bessel Laser Bullets: Fields and Propagation Characteristics." In Advanced Solid State Lasers. OSA, 2019. http://dx.doi.org/10.1364/assl.2019.jw2a.46.

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Litvin, Igor A., Melanie G. McLaren, and Andrew Forbes. "Propagation of obstructed Bessel and Bessel-Gauss beams." In Optical Engineering + Applications, edited by Andrew Forbes and Todd E. Lizotte. SPIE, 2008. http://dx.doi.org/10.1117/12.793695.

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Sakah, Mahmud, and Brahim Chebbi. "Laser Bessel velocimtery." In 2015 Photonics North. IEEE, 2015. http://dx.doi.org/10.1109/pn.2015.7292500.

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Trichili, Abderrahmen, Thandeka Mhlanga, Yaseera Ismail, et al. "Detecting Bessel beams." In SPIE Optical Engineering + Applications, edited by Andrew Forbes and Todd E. Lizotte. SPIE, 2014. http://dx.doi.org/10.1117/12.2061372.

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Khonina, Svetlana N., and Victor V. Kotlyar. "Bessel-mode formers." In Digital Image Processing and Computer Graphics: Fifth International Workshop, edited by Nikolai A. Kuznetsov and Victor A. Soifer. SPIE, 1995. http://dx.doi.org/10.1117/12.199633.

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McLaren, Melanie, Thandeka Mhlanga, Miles J. Padgett, Filippus S. Roux, and Andrew Forbes. "Entangled Bessel beams." In SPIE Optical Engineering + Applications, edited by Andrew Forbes and Todd E. Lizotte. SPIE, 2014. http://dx.doi.org/10.1117/12.2066369.

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Yu, Yanzhong, and Wenbin Dou. "Bessel-Gauss resonator." In 2010 International Conference on Microwave and Millimeter Wave Technology (ICMMT). IEEE, 2010. http://dx.doi.org/10.1109/icmmt.2010.5524925.

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Reports on the topic "Bessel"

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Boisvert, Ronald F., and Bonita V. Saunders. Portable vectorized software for Bessel function evaluation. National Institute of Standards and Technology, 1991. http://dx.doi.org/10.6028/nist.ir.4615.

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Major, J. R. Automated measurement of frequency response of frequency-modulated generators using the Bessel null method. National Bureau of Standards, 1986. http://dx.doi.org/10.6028/nbs.tn.1093.

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Qin, Hong, Cynthia K. Phillips, and Ronald C. Davidson. Response to "Comment on ' A New Derivation of the Plasma Susceptibility Tensor for a Hot Magnetized Plasma Without Infinite Sums of Products of Bessel Functions'. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/960232.

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Geyer, Anton, Simon Pohn-Weidinger, and Karin Grasenick. Evaluation der Forschungspreis-Programme der Alexander von Humboldt-Stiftung. Endbericht. Alexander von Humboldt-Stiftung, 2019. http://dx.doi.org/10.22163/fteval.2019.585.

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Die Alexander von Humboldt-Stiftung (AvH) verleiht seit 1972 Humboldt-Forschungspreise. Mit dem Preis werden hochrenommierte Wissenschaftler/innen aus dem Ausland für ihr wissenschaftliches Gesamtschaffen ausgezeichnet. Zusätzlich vergibt die AvH seit 2001 Wilhelm Friedrich Bessel-Forschungspreise an jüngere Wissenschaftler/innen, die ihre Promotion vor nicht mehr als 18 Jahren abgeschlossen haben und die in ihren wissenschaftlichen Spezialgebieten bereits als „kommende Stars“ wahrgenommen werden. Die Nominierung der Kandidat/inn/en für die Forschungspreise erfolgt durch Wissenschaftler/innen
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Davis, C. Davis-Besse uncertainty study. Office of Scientific and Technical Information (OSTI), 1987. http://dx.doi.org/10.2172/6243997.

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Schürz, Stefanie, Stefanie Konzett-Smoliner, and Michael Stampfer. Datenexzellenz: Strategien für Österreich. ZSI - Centre for Social Innovation, 2024. https://doi.org/10.22163/fteval.2024.665.

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Um in einer zunehmend komplexen, digitalisierten Welt den Anschluss nicht zu verlieren – und zumindest in Teilbereichen eine Vorreiterrolle einzunehmen – braucht Österreich eine zeitgemäße nationale Datenstrategie. Die dazu im Positionspapier formulierten Ziele und empfohlenen Maßnahmen richten sich vornehmlich an den öffentlichen Sektor und sollen, dort wo sinnvoll und möglich, Eingang in private Organisationen finden. Ziel ist es, proaktiv den Umgang mit Daten, deren Produkte, Einsichten, Analysen und Resultate besser zu gestalten und zu formen, um die Basis für evidenzbasierte Entscheidunge
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Leitner, Karl-Heinz, Georg Zahradnik, Bernhard Dachs, and Robert Hawlik. Ex-post-Evaluierung der Pilotförderungaktion für Inkubatoren JumpStart Phase 1 und Phase 2. AIT - Austrian Institute of Technology, 2021. http://dx.doi.org/10.22163/fteval.2021.586.

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Start-up Inkubatoren bzw. Akzeleratoren nehmen am Innovationsstandort Österreich eine wachsende Rolle ein. Junge, dynamisch wachsende Unternehmen fragen zunehmend Arbeitsumgebungen nach, in denen sie Infrastruktur und Dienstleistungen aus einer Hand erhalten, um sich besser auf die Entwicklung des Unternehmens bzw. des Produkts fokussieren zu können. Obwohl es in Österreich bereits eine Reihe von Inkubatoren/Akzeleratoren gibt, so fehlen sehr oft die Mittel, um auch im internationalen Vergleich professionelle Dienstleistungen inkubierten Firmen anbieten zu können. Um diese Hindernisse zu überw
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Author, Not Given. Report of the independent Ad Hoc Group for the Davis-Besse incident. Office of Scientific and Technical Information (OSTI), 1986. http://dx.doi.org/10.2172/5607389.

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Bäumler, Maximilian, Susanne Arndt, Matthias Fuchs, et al. Videodaten in der Verkehrsforschung – besser auffind- und nachnutzbar dank der neuen Ontologie ListDB Onto. TU Dresden, Fakultät Verkehrswissenschaften 'Friedrich List', 2023. http://dx.doi.org/10.26128/2023.40.

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Wallmann, Klaus, and Sina Löschke. CDRmare Update: Neue Abschätzung der CO2-Speicherkapazität unter der deutschen Nordsee. CDRmare, 2024. https://doi.org/10.3289/cdrmare.43.

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Im Rahmen des GEOSTOR-Verbundprojektes wurde vor kurzem eine Studie in der renommierten Fachzeitschrift »International Journal of Greenhouse Gas Control« veröffentlicht. Die Arbeit zeigt, dass in bestimmten Gesteinsschichten unter der deutschen Nordsee insgesamt zwischen 0,9 und 5,6 Milliarden Tonnen CO2 gespeichert werden könnten. Um diese Kapazitätsabschätzungen besser zu verstehen und einordnen zu können, gehen wir im Folgenden auf eine Reihe von Fragen ein.
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