• Title/Summary/Keyword: Differential transformation

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The Study of Analytical Chemistry of the Modification of Manganese Dioxide (III). Quntitative Determination of Pyrolusite by Differential Heating Curves (변태 이산화망간의 분석 화학적 연구 (제3보) 시차 열곡선에 의한 Pyrolusite의 정량)

  • Kim Chan-Ho
    • Journal of the Korean Chemical Society
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    • v.17 no.2
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    • pp.122-125
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    • 1973
  • A study on the endothermic peak of transformation of the pyrolusite was made by using differential thermal curves for analytical reproducibility, and it was done in quantity on range from 50 mg to 450 mg of pyrolusite species. The separation of ${\alpha}-MnO_2$ peak was impossible due to the overlapping between $\alpha$ and pyrolusite peaks, and the pyrolusite was determined among the species, ${\gamma}-MnO_2$ and ${\delta}-MnO_2$, with an error ranging from $5{\%}$ to $10{\%}$.

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Effect of a chemical reaction on magnetohydrodynamic (MHD) stagnation point flow of Walters-B nanofluid with newtonian heat and mass conditions

  • Qayyum, Sajid;Hayat, Tasawar;Shehzad, Sabir A.;Alsaedi, Ahmed
    • Nuclear Engineering and Technology
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    • v.49 no.8
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    • pp.1636-1644
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    • 2017
  • The main purpose of this article is to describe the magnetohydrodynamic stagnation point flow of Walter-B nanofluid over a stretching sheet. The phenomena of heat and mass transfer are based on the involvement of thermal radiation and chemical reaction. Characteristics of Newtonian heating are given special attention. The Brownian motion and thermophoresis models are introduced in the temperature and concentration expressions. Appropriate variables are implemented for the transformation of partial differential frameworks into sets of ordinary differential equations. Plots for velocity, temperature, and nanoparticle concentration are displayed and analyzed for governing parameters. The skin friction coefficient and local Nusselt and Sherwood numbers are studied using numerical values. The temperature and heat transfer rate are enhanced within the frame of the thermal conjugate parameter.

Non Darcy Mixed Convection Flow of Magnetic Fluid over a Permeable Stretching Sheet with Ohmic Dissipation

  • Zeeshan, A.;Majeed, A.
    • Journal of Magnetics
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    • v.21 no.1
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    • pp.153-158
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    • 2016
  • This paper aims to discuss the Non Darcy boundary layer flow of non-conducting viscous fluid with magnetic ferroparticles over a permeable linearly stretching surface with ohmic dissipation and mixed convective heat transfer. A magnetic dipole is applied "a" distance below the surface of stretching sheet. The governing equations are modeled. Similarity transformation is used to convert the system of partial differential equations to a system of non-linear but ordinary differential equations. The ODEs are solved numerically. The effects of sundry parameters on the flow properties like velocity, pressure, skin-friction coefficient and Nusselt number are presented. It is deduced the frictional resistance of Lorentz force decreases with stronger electric field and the trend reverses for temperature. Skin friction coefficient increase with increase in ferromagnetic interaction parameter. Whereas, Nusselt number decrease.

Design of Kalman Filter via BPF (블록펄스함수를 이용한 칼만필터설계)

  • Ahn, Doo-Soo;Lim, Yun-Sic;Lee, Sung-Hee;Lee, Myung-Kyu
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.667-669
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    • 1995
  • This paper presents a method to design Kalman filter on continuous stochastic dynamical systems via BPFT(block pulse functions transformation). When we design Kalman filter, minimum error valiance matrix is appeared as a form of nonlinear matrix differential equations. Such equations are very difficult to obtain the solutions. Therefore, in this paper, we simply obtain the solutions of nonlinear matrix differential equations from recursive algebraic equations using BPFT. We believe that the presented method is very attractive and proper for the evaluation of Kalman gain on continuous stochastic dynamical systems.

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Dynamic characteristics of hygro-magneto-thermo-electrical nanobeam with non-ideal boundary conditions

  • Ebrahimi, Farzad;Kokaba, Mohammadreza;Shaghaghi, Gholamreza;Selvamani, Rajendran
    • Advances in nano research
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    • v.8 no.2
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    • pp.169-182
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    • 2020
  • This study presents the hygro-thermo-electromagnetic mechanical vibration attributes of elastically restrained piezoelectric nanobeam considering effects of beam surface for various elastic non-ideal boundary conditions. The nonlocal Eringen theory besides the surface effects containing surface stress, surface elasticity and surface density are employed to incorporate size-dependent effects in the whole of the model and the corresponding governing equations are derived using Hamilton principle. The natural frequencies are derived with the help of differential transformation method (DTM) as a semi-analytical-numerical method. Some validations are presented between differential transform method results and peer-reviewed literature to show the accuracy and the convergence of this method. Finally, the effects of spring constants, changing nonlocal parameter, imposed electric potential, temperature rise, magnetic potential and moisture concentration are explored. These results can be beneficial to design nanostructures in diverse environments.

The Centering of the Invariant Feature for the Unfocused Input Character using a Spherical Domain System

  • Seo, Choon-Weon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.9
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    • pp.14-22
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    • 2015
  • TIn this paper, a centering method for an unfocused input character using the spherical domain system and the centering character to use the shift invariant feature for the recognition system is proposed. A system for recognition is implemented using the centroid method with coordinate average values, and the results of an above 78.14% average differential ratio for the character features were obtained. It is possible to extract the shift invariant feature using spherical transformation similar to the human eyeball. The proposed method, which is feature extraction using spherical coordinate transform and transformed extracted data, makes it possible to move the character to the center position of the input plane. Both digital and optical technologies are mixed using a spherical coordinate similar to the 3 dimensional human eyeball for the 2 dimensional plane format. In this paper, a centering character feature using the spherical domain is proposed for character recognition, and possibilities for the recognized possible character shape as well as calculating the differential ratio of the centered character using a centroid method are suggested.

Screening of Differential Promoter Hypermethylated Genes in Primary Oral Squamous Cell Carcinoma

  • Khor, Goot Heah;Froemming, Gabrielle Ruth Anisah;Zain, Rosnah Binti;Abraham, Mannil Thomas;Thong, Kwai Lin
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.20
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    • pp.8957-8961
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    • 2014
  • Background: Promoter hypermethylation leads to altered gene functions and may result in malignant cellular transformation. Thus, identification of biomarkers for hypermethylated genes could be useful for diagnosis, prognosis, and therapeutic treatment of oral squamous cell carcinoma (OSCC). Objectives: To screen hypermethylated genes with a microarray approach and to validate selected hypermethylated genes with the methylation-specific polymerase chain reaction (MSPCR). Materials and Methods: Genome-wide analysis of normal oral mucosa and OSCC tissues was conducted using the Illumina methylation microarray. The specified differential genes were selected and hypermethylation status was further verified with an independent cohort sample of OSCC samples. Candidate genes were screened using microarray assay and run by MSPCR analysis. Results: TP73, PIK3R5, and CELSR3 demonstrated high percentages of differential hypermethylation status. Conclusions: Our microarray screening and MSPCR approaches revealed that the signature candidates of differentially hypermethylated genes may possibly become potential biomarkers which would be useful for diagnostic, prognostic and therapeutic targets of OSCC in the near future.

On the Security of Rijndael-like Structures against Differential and Linear Cryptanalysis (Rijndael 유사 구조의 차분 공격과 선형 공격에 대한 안전성에 관한 연구)

  • 박상우;성수학;지성택;윤이중;임종인
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.5
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    • pp.3-14
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    • 2002
  • Rijndael-like structure is the special case of SPN structure. The linear transformation of Rijndael-like structure consisits of linear transformations of two types, the one is byte permutation $\pi$ and the other is linear tranformation $\theta$= ($\theta_1, \theta_2, \theta_3, \theta_4$), where each of $\theta_i$ separately operates on each of the four rows of a state. The block cipher, Rijndael is an example of Rijndael-like structures. In this paper. we present a new method for upper bounding the maximum differential probability and the maximum linear hull probability for Rijndael-like structures.

Study on Polymorphism of Cimetidine (시메티딘의 다형에 관한 연구)

  • Sohn, Young-Taek;Kim, Ki-Soo
    • Journal of Pharmaceutical Investigation
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    • v.23 no.2
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    • pp.81-87
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    • 1993
  • Five crystalline forms of cimetidine, four anhydrous and a monohydrate, have been prepared, and their thermal behavriours have been studied by differential thermal analysis and thermo-gravimetry. The dissolution rates of the five forms were determined in distilled water at $37^{\circ}C$. The results showed a significant difference in the dissolution rate. Polymorphic transformation occurred spontaneously during storage at room condition and was accelerated by applied energy during formulation process-milling.

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IDENTITIES ABOUT LEVEL 2 EISENSTEIN SERIES

  • Xu, Ce
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.63-81
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    • 2020
  • In this paper we consider certain classes of generalized level 2 Eisenstein series by simple differential calculations of trigonometric functions. In particular, we give four new transformation formulas for some level 2 Eisenstein series. We can find that these level 2 Eisenstein series are reducible to infinite series involving hyperbolic functions. Moreover, some interesting new examples are given.