• Title/Summary/Keyword: ${\Delta}$-convergence

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RIDGELET TRANSFORM ON SQUARE INTEGRABLE BOEHMIANS

  • Roopkumar, Rajakumar
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.835-844
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    • 2009
  • The ridgelet transform is extended to the space of square integrable Boehmians. It is proved that the extended ridgelet transform $\mathfrak{R}$ is consistent with the classical ridgelet transform R, linear, one-to-one, onto and both $\mathfrak{R}$, $\mathfrak{R}^{-1}$.1 are continuous with respect to $\delta$-convergence as well as $\Delta$-convergence.

Synthesis and Structural Characterization of Transition Metal Complex with N,N'-bis-[2(S) -pyrrolidinylmethyl]phenylene-1,2-diamine (N,N'-Bis[2(S)-2-pyrrolidinylmethyl]phenylene-1,2-diamine를 배위하는 전이금속 착물의 합성 및 구조적 특성)

  • Kim, Dong-Yeub
    • Journal of the Korean Society of Industry Convergence
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    • v.1 no.1
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    • pp.43-49
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    • 1998
  • The SS-phpm 4HCl(N,N'-bis-[2(S)-pyrrolidinylmethyl]phenylene-l,2-diamine-4-Hydrochloride) ligand having stereospecificity has been prepared and reacted with trans-[$Co(pyridine)_4Cl_2]$Cl. The resultants are purple crystals, which are identified to be ${\Delta}$-cis-${\beta}$-[$Co(SS-phpm)Cl_2$]Cl by elemental analysis and UV/Vis- and CD-absorption spectra, The conformation of SS-phpm in ${\Delta}$-cis-${\beta}$ complex is ${\delta}$ ${\varepsilon}$ ${\lambda}$ (SSSS) for each of the five-membered chelated ring. Futhermore, according to orientation of secondary amine, total strain energy on each isomers was calculated by molecular mechanics(MM) to verify structural characterization and spectral data. As the result, the most stabilized isomer was ${\Delta}$-cis-${\beta}$(SSSS). The value of total strain energy(U) of ${\Delta}$-cis-${\beta}$(SSSS) isomer was 63.21 kcal/mol, respectively.

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Analysis of Induced Heterophoria Variations by Repeated Binocular Vision Examinations (반복된 양안시 검사로 유발된 사위도 변화 분석)

  • Leem, Hyun-Sung;Lee, Eun-Hee;Song, Yun-Young;Jung, Mi-A
    • Journal of the Korea Convergence Society
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    • v.9 no.12
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    • pp.281-286
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    • 2018
  • The purpose of this study was to evaluate the degree of heterophoria variations according to visual fatigue induced by increasing number of examinations while repeating binocular vision examinations. Twenty - one adults in their twenties who had no heterotropia other eye disease or systemic disease underwent binocular vision examinations. As the examinations progressed, the degree of heterophoria increased in both orthophoria and heterophoria. When the distance examinations was repeated 5 times, orthophoria increased degree of $1.56{\Delta}$ heterophoria. and heterophoria increased degree of $1.63{\Delta}$ heterophoria. When the near examinations was repeated 5 times, orthophoria increased degree of $1.78{\Delta}$ heterophoria. and heterophoria increased degree of $2{\Delta}$ heterophoria.. As the number of examinations increased, the result gradually deviated from the normal range as visual fatigue increased. The degree of the variation is judged to be enough to make the wrong prescription in the clinic. In conclusion, it was found that the binocular vision examinations should be conducted more accurately and promptly.

Changes in the Physiology of eye and Ocular function due to alcohol intake (알코올 섭취에 따른 눈의 생리기능과 안기능의 변화)

  • Lee, Jeung-Young;Seo, Jung-Ick;Park, Eun-Kyu
    • Journal of the Korea society of information convergence
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    • v.7 no.2
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    • pp.25-29
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    • 2014
  • In this study, it examined the effects of alcohol on the physiology of the eye and ocular function. It was measured to IOP(intraocular pressure), tear secretion, stereoscopic parallax, AC A ratio, convergence ability, divergence ability alcohol intake before and after. The results were as follows. The mean IOP before alcohol intake 15.14mmHg and the mean IOP after alcohol intake 12.8mmHg. Average decreased 15.44%. The mean tear secretion before alcohol intake 17.125mm and the mean secretion after alcohol intake 9.875mm. Average decreased 42.33%. Stereoscopic parallax has increased by about four times that 40' before alcohol intake to 165' after that. AC/A ratio has increased by 14.6% that $5.40{\Delta}/D$ before alcohol intake to $6.19{\Delta}/D$ after that. Convergence and divergence ability was no significant change in both distance and close range.

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Performance Evaluation of Machine Learning Optimizers (기계학습 옵티마이저 성능 평가)

  • Joo, Gihun;Park, Chihyun;Im, Hyeonseung
    • Journal of IKEEE
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    • v.24 no.3
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    • pp.766-776
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    • 2020
  • Recently, as interest in machine learning (ML) has increased and research using ML has become active, it is becoming more important to find an optimal hyperparameter combination for various ML models. In this paper, among various hyperparameters, we focused on ML optimizers, and measured and compared the performance of major optimizers using various datasets. In particular, we compared the performance of nine optimizers ranging from SGD, which is the most basic, to Momentum, NAG, AdaGrad, RMSProp, AdaDelta, Adam, AdaMax, and Nadam, using the MNIST, CIFAR-10, IRIS, TITANIC, and Boston Housing Price datasets. Experimental results showed that when Adam or Nadam was used, the loss of various ML models decreased most rapidly and their F1 score was also increased. Meanwhile, AdaMax showed a lot of instability during training and AdaDelta showed slower convergence speed and lower performance than other optimizers.

A Convergence Study on the Flow near Vehicle by the Configuration of Roof Box (루프 박스의 형상별 차량 주위에서의 유동에 관한 융합 연구)

  • Oh, Bum-Suk;Cho, Jae-Ung
    • Journal of the Korea Convergence Society
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    • v.10 no.10
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    • pp.99-105
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    • 2019
  • In this study, the flow analysis around vehicle was carried out on various kinds of roof box models installed at the roof of vehicle. Through the analysis of fluid flow and pressure, we investigated which model was more suitable for driving. The four types of models were designed with their respective shapes of models 1, ${\beta}$, ${\delta}$ and ${\gamma}$, and the driving speed of car was set as 20 m/s. It was confirmed that the pressure for model ${\beta}$ became greatest compared to other models. And model ${\delta}$ has the lowest pressure among all models of roof boxes by installing a canoe with the structure for cable type. As the design data with the durability of roof box obtained on the basis of this study result are utilized, the esthetic sense can be shown by being grafted onto the car body at real life.

CONVERGENCE THEOREMS FOR THE HENSTOCK DELTA INTEGRAL ON TIME SCALES

  • Park, Jae Myung;Kim, Young Kuk;Lee, Deok Ho;Yoon, Ju Han;Lim, Jong Tae
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.4
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    • pp.879-885
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    • 2013
  • In this paper, we de ne an extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of function $f^*:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale ${\mathbb{T}}$ and prove the convergence theorems for the Henstock delta integral on time scales.

Analysis and Design of a Novel 4-DOF High-Speed Parallel Robot (4자유도 고속 병렬 로봇의 해석 및 설계)

  • Kim, Han Sung
    • Journal of the Korean Society of Industry Convergence
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    • v.19 no.4
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    • pp.206-215
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    • 2016
  • Delta parallel robots are now widely used for high-speed applications. However, typical Delta robots, such as ABB Flexpicker suffer from rotating axis with passive prismatic joint subjected to critical speed and so requiring careful maintenance. In this paper, a novel 4-DOF high-speed parallel robot with four legs is presented, which consists of three legs with 90 degree arrangement for translational motions and one remaining leg with rack & pinion gears for rotational motion. The inverse kinematics, velocity, acceleration, statics, and inverse dynamics have been analyzed. From the workspace analysis and inverse dynamics simulation for 0.43 sec cycle time, the 4-axis parallel robot prototype with 12kg payload has been designed. In the future research, computed torque control methods will be developed for the prototype.

Navier-Stokes Analysis of Pitching Delta Wings in a Wind Tunnel

  • Lee, Yung-Gyo
    • International Journal of Aeronautical and Space Sciences
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    • v.2 no.2
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    • pp.28-38
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    • 2001
  • A numerical method for the assessment and correction of tunnel wall interference effects on forced-oscillation testing is presented. The method is based on the wall pressure signature method using computed wall pressure distributions. The wall pressure field is computed using unsteady three-dimensional full Navier-Stokes solver for a 70-degree pitching delta wing in a wind tunnel. Approximately-factorized alternate direction implicit (AF-ADI) scheme is advanced in time by solving block tri-diagonal matrices. The algebraic Baldwin-Lomax turbulence, model is included to simulate the turbulent flow effect. Also, dual time sub-iteration with, local, time stepping is implemented to improve the convergence. The computed wall pressure field is then imposed as boundary conditions for Euler re-simulation to obtain the interference flow field. The static computation shows good agreement with experiments. The dynamic computation demonstrates reasonable physical phenomena with a good convergence history. The effects of the tunnel wall in upwash and blockage are analyzed using the computed interference flow field for several reduced frequencies and amplitudes. The corrected results by pressure signature method agree well with the results of free air conditions.

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ON LACUNARY ∆m-STATISTICAL CONVERGENCE OF TRIPLE SEQUENCE IN INTUITIONISTIC FUZZY N-NORMED SPACE

  • Asif Hussain Jan;Tanweer Jalal
    • Korean Journal of Mathematics
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    • v.31 no.3
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    • pp.349-361
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    • 2023
  • In this article, we construct lacunary ∆m-statistical convergence for triple sequences within the context of intuitionistic fuzzy n-normed spaces (IFnNS). For lacunary ∆m-statistical convergence of triple sequence in IFnNS, we demonstrate numerous results. For this innovative notion of convergence, we further built lacunary ∆m-statistical Cauchy sequences and offered the Cauchy convergence criterion.