Готові списки джерел за темами / Mistake of approximation

Добірка наукової літератури з теми "Mistake of approximation"

Автор: Grafiati

Опубліковано: 30 травня 2022

Оновлено: 31 травня 2022

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Статті в журналах з теми "Mistake of approximation"

Khvorostyanov, V. I., and J. A. Curry. "Comment on Kokkola et al. (2008) – Comparisons with analytical solutions from Khvorostyanov and Curry (2007) on the critical droplet radii and supersaturations of CCN with insoluble fractions." Atmospheric Chemistry and Physics Discussions 9, no. 2 (April 15, 2009): 9537–50. http://dx.doi.org/10.5194/acpd-9-9537-2009.

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Abstract. Analytical solutions for the critical radii rcr and supersaturations scr of the cloud condensation nuclei with insoluble fractions were derived by Khvorostyanov and Curry (2007, hereafter KC07). Similar solutions were found later by Kokkola et al. (2008, hereafter Kok08); however, Kok08 used the approximation of an ideal dilute solution, while KC07 used more accurate assumptions that account for nonideality of solutions. Kok08 found a large discrepancy with KC07 in the critical supersaturations. Various possible reasons of this are analyzed. It is shown that the major discrepancy was caused by a simple mistake in Kok08 in the equation for the critical supersaturation: erroneous ''plus'' sign between the Kelvin and Raoult terms instead of correct ''minus'' sign. If this mistake is corrected, the equations from Kok08 mostly repeat the equations from KC07, except that Kok08 use the dilute solution approximation. If the mistake in Kok08 is corrected, then the differences in the critical radii and supersaturations do not exceed 16–18%, which characterizes the possible errors of an ideal diluted solution approximation. If the Kok08 scheme is corrected and applied to a nonideal solution, then the difference with KC07 does not exceed 0.4–1%.

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Sandelin, B. "The Danger of Approximation: Wicksell's Mistake on the Average Period of Investment." History of Political Economy 22, no. 3 (September 1, 1990): 551–55. http://dx.doi.org/10.1215/00182702-22-3-551.

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Khvorostyanov, V. I., and J. A. Curry. "Comment on "Comparisons with analytical solutions from Khvorostyanov and Curry (2007) on the critical droplet radii and supersaturations of CCN with insoluble fractions" by Kokkola et al. (2008)." Atmospheric Chemistry and Physics 9, no. 16 (August 20, 2009): 6033–39. http://dx.doi.org/10.5194/acp-9-6033-2009.

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Abstract. Analytical solutions for the critical radii and supersaturations of the cloud condensation nuclei (CCN) with insoluble fractions were derived by Khvorostyanov and Curry (2007, hereafter KC07). These solutions generalize Köhler's solutions for an arbitrary soluble fraction of CCN, and have two limiting cases: large soluble fraction (Köhler's original solution); and a new "low soluble fraction" limit. Similar solutions were found subsequently by Kokkola et al. (2008, hereafter Kok08); however, Kok08 used the approximation of an ideal and dilute solution, while KC07 used more accurate assumptions that account for nonideality of solutions. Kok08 found a large discrepancy with KC07 in the critical supersaturations. It is shown that the major discrepancy with KC07 found in Kok08 was caused by the simple mistake in Kok08, where comparison was made not with the general solution from KC07, but with the Köhler's solution or with some unknown quantity, not even with the "low soluble fraction" limit. If general solutions from the two works are compared, the equations from Kok08 mostly repeat the equations from KC07, except that Kok08 use the ideal dilute solution approximation. If the mistake in Kok08 is corrected, then the differences in the critical radii and supersaturations do not exceed 16–18%, which characterizes the errors of the ideal dilute solution approximation. If the Kok08 scheme is modified following KC07 to account for the non-ideality of solution, then the difference with KC07 does not exceed 0.4–1%.

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Stella, K., T. Vinith, K. Sriram, and P. Vignesh. "A Reliable Low Power Multiplier Using Fixed Width Scalable Approximation." Journal of Physics: Conference Series 2070, no. 1 (November 1, 2021): 012135. http://dx.doi.org/10.1088/1742-6596/2070/1/012135.

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Abstract Recent Approximate computing is a change in perspective in energy-effective frameworks plan and activity, in light of the possibility that we are upsetting PC frameworks effectiveness by requesting a lot of precision from them. Curiously, enormous number of utilization areas, like DSP, insights, and AI. Surmised figuring is appropriate for proficient information handling and mistake strong applications, for example, sign and picture preparing, PC vision, AI, information mining and so forth Inexact registering circuits are considered as a promising answer for lessen the force utilization in inserted information preparing. This paper proposes a FPGA execution for a rough multiplier dependent on specific partial part-based truncation multiplier circuits. The presentation of the proposed multiplier is assessed by contrasting the force utilization, the precision of calculation, and the time delay with those of a rough multiplier dependent on definite calculation introduced. The estimated configuration acquired energy effective mode with satisfactory precision. When contrasted with ordinary direct truncation proposed model fundamentally impacts the presentation. Thusly, this novel energy proficient adjusting based inexact multiplier design outflanked another cutthroat model.

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Tsung, Chen-Kun, Hann-Jang Ho, and Sing-Ling Lee. "A Game Theoretical Approach for Solving Winner Determination Problems." Journal of Applied Mathematics 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/845071.

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Determining the winners in combinatorial auctions to maximize the auctioneer's revenue is an NP-complete problem. Computing an optimal solution requires huge computation time in some instances. In this paper, we apply three concepts of the game theory to design an approximation algorithm: the stability of the Nash equilibrium, the self-learning of the evolutionary game, and the mistake making of the trembling hand assumption. According to our simulation results, the proposed algorithm produces near-optimal solutions in terms of the auctioneer's revenue. Moreover, reasonable computation time is another advantage of applying the proposed algorithm to the real-world services.

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Bilbiie, Florin O. "Optimal Forward Guidance." American Economic Journal: Macroeconomics 11, no. 4 (October 1, 2019): 310–45. http://dx.doi.org/10.1257/mac.20170335.

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Optimal forward guidance is the simple policy of keeping interest rates low for some optimally determined number of periods after the liquidity trap ends and moving to normal-times optimal policy thereafter. I solve for the optimal duration in closed form in a new Keynesian model and show that it is close to fully optimal Ramsey policy. The simple rule “announce a duration of half of the trap’s duration times the disruption” is a good approximation, including in a medium-scale dynamic stochastic general equilibrium (DSGE) model. By anchoring expectations of Delphic agents (who mistake commitment for bad news), the simple rule is also often welfare-preferable to Odyssean commitment. (JEL D84, E12, E43, E52, E56)

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GROUBA, V. D., A. V. ZORIN, and L. A. SEVASTIANOV. "THE SUPERPOSITION APPROXIMATION: A CRITICAL REVIEW." International Journal of Modern Physics B 18, no. 01 (January 10, 2004): 1–44. http://dx.doi.org/10.1142/s0217979204023465.

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We have examined the superposition approximation introduced by J. G. Kirkwood. One discusses the origin of mistakes when using this approximation for calculating structural and thermodynamic properties of systems.

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BARRIGA-CARRASCO, M. D., and A. Y. POTEKHIN. "Proton stopping in plasmas considering e−–e− collisions." Laser and Particle Beams 24, no. 4 (October 2006): 553–58. http://dx.doi.org/10.1017/s0263034606060733.

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The purpose of the present paper is to describe the effects of electron-electron collisions on proton electronic stopping in plasmas of any degeneracy. Plasma targets are considered fully ionized so electronic stopping is only due to the free electrons. The stopping due to free electrons is obtained from an exact quantum mechanical evaluation in the random phase approximation, which takes into account the degeneracy of the target plasma. The result is compared with common classical and degenerate approximations. Differences are around 30% in some cases which can produce bigger mistakes in further energy deposition and projectile range studies. We focus our analysis on plasmas in the limit of weakly coupled plasmas then electron-electron collisions have to be considered. Differences with the same results without taking into account collisions are more than 50%.

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Platkiewicz, Jonathan, Eran Stark, and Asohan Amarasingham. "Spike-Centered Jitter Can Mistake Temporal Structure." Neural Computation 29, no. 3 (March 2017): 783–803. http://dx.doi.org/10.1162/neco_a_00927.

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Jitter-type spike resampling methods are routinely applied in neurophysiology for detecting temporal structure in spike trains (point processes). Several variations have been proposed. The concern has been raised, based on numerical experiments involving Poisson spike processes, that such procedures can be conservative. We study the issue and find it can be resolved by reemphasizing the distinction between spike-centered (basic) jitter and interval jitter. Focusing on spiking processes with no temporal structure, interval jitter generates an exact hypothesis test, guaranteeing valid conclusions. In contrast, such a guarantee is not available for spike-centered jitter. We construct explicit examples in which spike-centered jitter hallucinates temporal structure, in the sense of exaggerated false-positive rates. Finally, we illustrate numerically that Poisson approximations to jitter computations, while computationally efficient, can also result in inaccurate hypothesis tests. We highlight the value of classical statistical frameworks for guiding the design and interpretation of spike resampling methods.

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Golovaneva, Marina. "Dualism of Approximation Principle in Linguadidactics." Bulletin of Kemerovo State University. Series: Humanities and Social Sciences 2020, no. 4 (January 18, 2021): 287–96. http://dx.doi.org/10.21603/2542-1840-2020-4-4-287-296.

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Dualism is a specific quality of approximation principle. The present research featured the potential of approximation principle for linguadidactics, namely to what degree it can be used to teach Russian as a foreign language and perform correction work in class. The research objective was to assess the efficiency of this principle. The study was based on the method of observation. The article introduces analyses of scientific linguadidactic literature and some typical situations of educational process. The author separates correction work from speech activity, i.e. talking, writing, and reading. The author believes that speech mistakes must be corrected immediately, involving the student in the correction process. Graphic facilities should be used to illustrate the norm. Therefore, in practical linguadidactics, approximation principle should be minimal. Yet, approximation is impossible to avoid in the abovementioned types of speech activity, which hints at the dualism of this principle. Therefore, all errors must be corrected using graphic means, if possible, by both the teacher and the student. Students should be encouraged to participate in the correction process, while the teacher maintains supervisory control.

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Більше джерел

Дисертації з теми "Mistake of approximation"

Берегун, Віктор Сергійович. "Дослідження щільностей імовірностей акустичних сигналів методом ортогональних подань". Doctoral thesis, 2010. https://ela.kpi.ua/handle/123456789/1066.

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Частини книг з теми "Mistake of approximation"

Camou, Bernardo. "The Adventure of Learning Mathematics and Lakatos’s Legacy." In Building on the Past to Prepare for the Future, Proceedings of the 16th International Conference of The Mathematics Education for the Future Project, King's College,Cambridge, Aug 8-13, 2022, 101–4. WTM-Verlag, 2022. http://dx.doi.org/10.37626/ga9783959872188.0.019.

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mathematics is a human creation and thus we can ask: How can humans with flaws and defects are able to create something perfect and infallible? Mathematics have its foundations in concrete problems, trials and errors approximations and representations. Learning mathematics is a fascinating trip, back and forth between concrete and abstract, between approximations and accuracy, between particular and general. Our poor representations are the road to conceptualize mathematical objects that then, seem to become perfect. In this workshop we will handle polyhedral and work with Euler’s Formula, with angular defects and its relation with surface´s curvature. In Lakato’s book Proofs and Refutations the author might have committed a mistake, though his book gives us a brilliant insight about the logic of mathematical discovery.

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