• School Mathematics
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• v.8 no.1
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• pp.27-43
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• 2006

The objective of this paper is to design teaching units to foster secondary pre-service teachers' mathematising abilities. In these teaching units we focus on generalizing area of a 2-dimensional triangle and volume of a 3-dimensional tetrahedron to n-volume of n-simplex In this process of generalizing, principle of the permanence of equivalent forms and Cavalieri's principle are applied. To find n-volume of n-simplex, we define n-orthogonal triangular prism, and inquire into n-volume of it. And we find n-volume of n-simplex by using vectors and determinants. Through these teaching units, secondary pre-service teachers can understand and inquire into n-simplex which is generalized from a triangle and a tetrahedron, and n-volume of n-simplex which is generalized from area of a triangle and volume of a tetrahedron. They can also promote natural connection between school mathematics and academic mathematics.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.2
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• pp.313-318
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• 2012

The power inequality ${\prod}_{k=1}^{N}\;{x}_{k}^{x_{k}}\;{\geq}\;{\prod}_{k=1}^{N}\;{p}_{k}^{x_{k}}$ holds for the points $(x_1,{\ldots},x_N),(p_1,{\ldots},p_N)$ of the simplex. We show this using the analytic method combining Frostman's density theorem with the strong law of large numbers.

• Nonlinear Functional Analysis and Applications
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• v.26 no.4
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• pp.701-716
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• 2021

In this present article, we construct a new framework that's we call the weighted geometric realization of 2 and 3-simplexes. On this new weighted framework, we construct a nonself-adjoint 2-simplex Laplacian L and a self-adjoint 2-simplex Laplacian N. We propose general conditions to ensure sectoriality for our new nonself-adjoint 2-simplex Laplacian L. We show the relation between the essential spectra of L and N. Finally, we prove the absence of the essential spectrum for our 2-simplex Laplacians L and N.

• Journal of Aquaculture
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• v.8 no.4
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• pp.355-366
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• 1995

In order to identify some suitable diatoms as a live food source, effects of seven diatom species (Chaetoceros simplex, Navicula incerta, Phaeodactylum tricornutum, Nitzschia closterium, Skeletonema costatum, Thalassiosira pseudonana, Thalassiosira weissflogii) were examined on specific growth rate, mean celt volume, chemical composition and general fatty acid composition. In cell volume. T. pseudonana was the smallest $(125{\mu}m^3)$ and T. weissflogii the largest $(824{\mu}m^3)$. However the specific growth rate of the largest diatom was the lowest (0.5016/day), and that of S. costatum was the highest (0.9928/day). The crude protein content of seven diatom species varied from $18.96\%$ (T. pseudonana) to $24,4\%$ (T, weissflogii). The crude lipid content of C. simplex was the highest $(8.43\%)$, and that of T. pseudonana was the lowest $(3.13\%)$. The total content of polyunsaturate fatty acids which are important for bivalve larvae was higher in C. simplex than those in other species. The total percent of polyunsaturate fatty acids from N. incerta and T. weissflogii was relatively lower than that from other species. Dietary value of seven diatom species were finally examined with Pacific oyster larvae Crassostrea gigas. In this experiment, C. simplex showed the highest survival rate and growth, and the larvae feed on S. costatum and T. weissflogii showed the poorest results. This results C. simplex could be more useful live food for bivalve larvae than other diatom species tested.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.797-802
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• 2005

We generate simplex polynomials by using a method, which produces an OPS in (d + 1) variables from an OPS in d variables and the Jacobi polynomials. Also we obtain a partial differential equation of the form $${\Sigma}_{i,j=1}^{d+1}\;A_ij{\frac{{\partial}^2u}{{\partial}x_i{\partial}x_j}}+{\Sigma}_{i=1}^{d+1}\;B_iu\;=\;{\lambda}u$$, which has simplex polynomials as solutions, where ${\lambda}$ is the eigenvalue parameter.

• The Korean Journal of Pharmacology
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• v.22 no.2
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• pp.123-127
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• 1986

n-Butyrate (n-BT A) increased the rate and number of infectious units produced in the in vitro reactivation of latent herpes simplex virus. While the mechanism of action of n-BT A is obscure, a continuous presence of n-BT A is necessary for its inductive effect.

• Journal of fish pathology
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• v.27 no.1
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• pp.25-33
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• 2014

Hydrolase activities of excretory-secretory products (ESP) and somatic extracts (SE) from Anisakis simplex sensu stricto (s.s.) and Anisakis pegreffii larvae were investigated by using API ZYM kit. In esterase group, acid phosphatase showed high activity from both of A. simplex (s.s.) and A. pegreffii. Esterase (C4) showed activity only from SE and A. simplex (s.s.) showed higher activity than A. pegreffii. Alkaline phosphatase, acid phosphatase and naphthol-AS-BI-phosphohydrolase showed higher activity in 3rd stage larvae than in 4th stage larvae of both species. In aminopeptidase group, only leucine arylamidase showed remarkable activity in SE of both anisakid species, and A. simplex (s.s.) SE showed higher activity than A. pegreffii SE. In glycosidase group, N-acetyl-${\beta}$-glucosaminidase, ${\alpha}$-mannosidase, ${\alpha}$-fucosidase showed higher activity in A. simplex (s.s.) than A. pegreffii, and 4th larvae showed higher activity than 3rd larvae. These differences in hydrolase activity of anisakid nematodes larvae are thought to be due to different metabolism such as growth, moulting, digestion and feeding.

• The Korean Journal of Malacology
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• v.28 no.4
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• pp.293-303
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• 2012

Growth and survival (%) of the larvae and spats of Scapharca broughtonii fed on three different microalgal species (Isochrysis galbana, Pavlova lutheri and Chaetoceros simplex) were investigated with the analysis of fatty acid composition. The larvae fed on mixed diet with three microalgal species showed the highest growth in shell length ($261.3{\pm}13.5{\mu}m$) and survival ($27.4{\pm}5.3%$). The growth and survival (%) of the larvae fed on the single diet with C. simplex were significantly higher than those of the larvae fed on I. galbana or P. lutheri (P < 0.05). The growth and survival (%) of S. broughtonii spats reared for 30 days were also highest in the mixed diet group with $1,114.8{\pm}128.0{\mu}m$ and $61.3{\pm}5.5%$, respectively, and followed by C. simplex, I. galbana and P. lutheri. With respect to composition of fatty acid of the single or mixed microalgal diet, the content of PUFA and n-3 HUFA were the highest in C. simplex. This result can be considered as the reason for high growth and survival (%) of the larvae and the spats. C. simplex was the best species as the single diet, but the mixed diet with three microalgal species showed better dietary value than single diet did for the larvae and spat of S. broughtonii.

• Korean Journal of Environmental Biology
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• v.20 no.4
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• pp.309-311
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• 2002

A total of ten specimens of darkblotched rockfish, Sebastes crameri obtain-ed from Newport fish market were examined for parasites during February, 2002. Eight out of ten S. crameri were found to be infected with metazoan parasites. They were flatworm Trochopus australis, nematoda Anisakis simplex, and copepods Neobrachiella robusta and Chondracanthus triventricosus. Nine (30.0%) T. australis, seven (30.0%) N. robusta, one (10.0％) C. triventricosus and seven (60.0%) A. simplex were infected. Among them, A. simplex was the most abundant and prevalent metazoan parasites in S. crameri. T. australis and N. robsta were found in gills with moderate intensity (1.7 and 1.9, respectively), and C. triventricosus in dorsal fin with low intensity (0.3).

• Journal of Biomedical Engineering Research
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• v.15 no.1
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• pp.71-76
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• 1994

In the source localization using single dipole model, the influence of the number of electrodes, the position and direction of a single dipole on the relation between S/W ratio and dipole parameter estimation errors is important. Monte Carlo simulation was used to investigate this influence. The forward problem was calculated using three spherical shell model, and dipole parameters were optimized by means of simplex method. As the number of electrodes became large, as the dipole went from midbrain to cortex, and as the direction of dipole changed from radial to tangential, the average and standard deviation of estimation errors became small.