• Korean Journal of Mathematics
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• v.32 no.1
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• pp.43-57
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• 2024

Given a domain X and a collection H of functions h : X → {0, 1}, the Vapnik-Chervonenkis (VC) dimension of H measures its complexity in an appropriate sense. In particular, the fundamental theorem of statistical learning says that a hypothesis class with finite VC-dimension is PAC learnable. Recent work by Fitzpatrick, Wyman, the fourth and seventh named authors studied the VC-dimension of a natural family of functions ℋ'²_t(E) : 𝔽²_q → {0, 1}, corresponding to indicator functions of circles centered at points in a subset E ⊆ 𝔽²_q. They showed that when |E| is large enough, the VC-dimension of ℋ'²_t(E) is the same as in the case that E = 𝔽²_q. We study a related hypothesis class, ℋ^d_t(E), corresponding to intersections of spheres in 𝔽^d_q, and ask how large E ⊆ 𝔽^d_q needs to be to ensure the maximum possible VC-dimension. We resolve this problem in all dimensions, proving that whenever |E| ≥ C_dq^d-1/(d-1) for d ≥ 3, the VC-dimension of ℋ^d_t(E) is as large as possible. We get a slightly stronger result if d = 3: this result holds as long as |E| ≥ C_3q^7/3. Furthermore, when d = 2 the result holds when |E| ≥ C_2q^7/4.

• Journal of the Korean Chemical Society
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• v.45 no.4
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• pp.312-317
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• 2001

7'-Aldehyde-nucleosides analogue (2a, 2c) were synthesized from 6-N-benzoyl-2',3'-O-isopropylideneadenosine and uridine. The condensation of 2 with ethoxycarbonylmethylene Wittig reagent produced the adenosine and uridine analogues containing extended conjugated diene and ethoxycarbonyl group, ethyl-1',5',6',7',8'-pentadeoxy-1'-(adenin-9-yl)-$\beta$-D-ribo-nona-5'(E),7'(E)-dienofuranuronate (4b) and ethyl-1'. 5',6',7',8'-pentadeoxy-1'-(uracil-1-yl)-$\beta$-D-ribo-nona-5'(E),7'-(E)-dienofuranuronate (4c). 9-[8',8'-dibromo-5',6',7',8' -tetradeoxy-$\beta$-D-ribo-octa-5'(E),7'(E)-diene]nucleosides (6b, 6c) were also prepared from 2 with similar method.

• Journal of the Korean Magnetics Society
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• v.3 no.1
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• pp.48-55
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• 1993

We report the photoemission (PES) studies for the Co/Pd multilayter. The Co 3d PES spectrum of Co/Pd exhibits two interesting features, one near the Fermi energy, $E_{F}$, and another at ~2.5 eV below $E_{F}$. The Co 3d peak near $E_{F}$ of Co/Pd is much narrower than that of the bulk Co, consistent with the enhanced Co magnetic moment in Co/Pd compared to that in the bulk Co. The Co 3d feature at ~-2.5 eV resembles the Pd valence band structures, which suggests a substantial hybridization between the Co and Pd sublayers. The Co 3d PES spectrum of Co/Pd is compared with the existing band structures, obtained using the local spin density functional calculations. A reasonable agreement is found concerning the bandwidth of the occupied part of the Co 3d band, whereas a narrow Co 3d peak near $E_{F}$ seems not to be described by the band structure calculations.

• Journal of the Korean Home Economics Association
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• v.28 no.4
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• pp.1.1-13
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• 1990

Authors have performed the sensory evaluation tests according to each given items after selecting various lines in order to assess the visual effects by the lines in cloth designing. The evaluations were done by means of ranking tests followed by paired comparison tests. The results obtained were as follows : 1. In the item in than "Shoulder width looks wide", the design C3 showed the best visual effect, and then B1, F8, and A5 comes in order. In "Shoulder width looks narrow", they were A2, F5, F7, and B2 in order. 2. In "Bust looks big", the effect was best in F9, and then B1, F5, C3, and A5 and order. "Bust looks small" item showed A3, C1, and F1 in order. 3. In "Waist looks thick", they were B2, D1, and F7 while in "Waist looks thin", they were B3, F8, and D6 in order. 4. In the item in that "Hip looks big", the best effect was in F9, and then E3, C2, and B4 in order. In "Hip looks small", the best one was C1, and then comes. E1, F6, and F8. 5. In "Upper body looks thick", they were D2, D4, F8, C3 and A5 in order whild in "Upper body looks thin", they were A1, F5, and D7 in order. 6. In the item "Lower body lookds thick", they were F9, C2, E3, B3, and D3 in order. In "Lower body looks thin", the best one was C1, and then D1, E2, F6, and F8 comes in order. 7. In "whole body looks thick", they were F9, F3, D3, and A5, and in "Whole body looks thin", they were F5, A1, C1, and D6 in order. 8. In "Height looks tall", the effects were in order of A4, D6, E1, and F7 while in "Height looks short", they were E3, F9, B4, D2, and D1. 8. In "Height looks tall", the effects were in order of A4, D6, E1, and F7 while in "Height looks short", they were E3, F9, B4, D2, and D1. F9, B4, D2, and D1.

• Korean Journal of Food Science and Technology
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• v.26 no.6
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• pp.819-823
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• 1994

For the development of rice-derived fat replacing ingredient, low dextrose equivalent (D.E.) malto dextrin was prepared by enzyme hydrolysis, and its physical and rheological properties were studied. The molecular sizes of rice maltodextrin were measured by gel permeation chromatography on Sephadex G-50. Gel permeation column chromatograms showed a large single peak, suggesting a limited hydrolysis, and the average degree of polymerization decreased from 72.8 for 3 D.E. maltodextrin to 48.7 for 6 D.E. maltodextrin. Cold water solubility of maltodextrin was increased with increasing D.E. value and its values ranged from 47.3% to 71.3%. 8% solution of rice maltodextrin showed pseudoplastic behavior. Flow behavior index was decreased as D.E. value was increased.

• Asian-Australasian Journal of Animal Sciences
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• v.27 no.5
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• pp.674-682
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• 2014

Four experiments were conducted to investigate the effect of fat-soluble vitamin administration to sows or newborn pigs on plasma vitamin status. In Exp. 1 and 2, a total of 24 and 43 newborn pigs were allotted to control and vitamin treatments (vitamin $D_3$ with variable addition of vitamins A and E) orally or by i.m. injection. In Exp. 3, pigs from Exp. 2 were allotted to 2 treatments (${\alpha}$vitamins $D_3$ and E in drinking water) for 14 d postweaning. In Exp. 4, twenty-four gestating sows were used for 2 treatments (${\pm}injection$ of a vitamin $D_3$/A/E product 2 wk prepartum). In Exp. 1 and 2, when vitamin $D_3$ was administrated orally or by i.m. injection on d 1 of age, pigs had increased plasma 25-hydroxycholecalciferol (25-OH $D_3$) concentration 10 d after administration compared with control pigs (p<0.05). The injectable administration with vitamin $D_3$ and E was able to achieve higher plasma 25-OH $D_3$ (p<0.05) and ${\alpha}$-tocopherol (p<0.05) concentrations than oral administration. At weaning, the pigs in the injection group had higher plasma 25-OH $D_3$ concentration than those in the other groups in both studies (p<0.05). In Exp. 3, water supplementation of vitamin $D_3$ and E postweaning increased plasma 25-OH $D_3$ and ${\alpha}$-tocopherol concentrations at d 14 postweaning (p<0.01). In Exp. 4, when sows were injected with the vitamin $D_3$ product prepartum, serum 25-OH $D_3$ concentrations of sows at farrowing (p<0.01), and in their progeny at birth (p<0.01) and weaning (p<0.05) were increased. These results demonstrated that fat-soluble vitamin administration to newborn pigs increased plasma 25-OH $D_3$ concentration regardless of administration routes and ${\alpha}$-tocopherol concentration by the injectable route, and that water supplementation of vitamin $D_3$ and E to nursery pigs increased plasma 25-OH $D_3$ and ${\alpha}$-tocopherol concentrations. Additionally, injecting sows with vitamin $D_3$ prepartum increased 25-OH $D_3$ in sows and their offspring. If continued research demonstrates that the serum levels of 25-OH $D_3$ are critical in weanling pigs, a variety of means to increase those levels are available to swine producers.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2003.06a
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• pp.865-868
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• 2003

e-Catalog is defined as an electronically-described production information on the Web that includes various features of products and enables the customer interaction. Therefore the system is constructed with the database of all the information regarding manufacturing processes, order, cost, delivery. etc. The display of the e-Catalog is preferred to be 3 dimensional animated images in order to impress the customers. This work optimizes the 3D image conversion process from the design data to the e-Catalog data of products and automates the conversion process such that the human intervention can be minimized. The e-Catalog of electronic appliances are discussed as examples.

• Journal of the Korea Computer Graphics Society
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• v.29 no.3
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• pp.59-67
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• 2023

This paper proposes a 3D animated body profile using 3D body scanning and motion capture devices. Users can create their own personalized body profiles with animation by performing 3D scans for a predetermined set of poses. To achieve this, a template animation was obtained through motion capture for a series of poses, and the acquired 3D scan data from users was mapped to the key poses of the animation using Pose-space deformer. The resulting 3D animated body profiles provide users with greater satisfaction compared to traditional static 2D images or 3D scan data.

• Communications of the Korean Mathematical Society
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• v.9 no.3
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• pp.669-670
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• 1994

Let $E \to M$ be a hermitian holomorphic vector bundle over a compact (complex) hermitian manifold M of complex dimension n, and let $$ d"_p(E) : 0 \to A^{p,0}(E) \to A^{p,1}(E) \to \cdots \to A^{p,n}(E) \to 0$$ be the Dolbeault complex. Then $A^{p,q}(E)$ become a prehibert space so that the formal adjoint $\delta"$ of $d"$ and the "Laplacian" $\Delta" = \delta" d" + d" \delta"$ are defined.quot; d" + d" \delta"$ are defined.;$ are defined.

• Korean Journal of Agricultural Science
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• v.42 no.3
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• pp.201-205
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• 2015

The experiment was conducted to evaluate the effects of pathogenic Escherichia coli on diarrhea, growth performance, and blood profile of weaned pigs. A total of 48 pigs were used and housed in individual pens of disease containment chambers for 16 d (4 d before and 12 d after the first challenge [d0]). The treatments were with or without the pathogenic E. coli challenge (F-18 E. coli strain; heat-labile, heat-stable, and Shiga-like toxins). Pigs were orally inoculated with a dose of $10^{10}cfu$ E. coli per 3 mL PBS daily for 3 days. The common nursery diet and water were available at all times. The ADG, ADFI, G:F, diarrhea score, ratio of fecal ${\beta}$-hemolytic coliforms from total coliforms (RHT), and blood profile were measured. The pathogenic E. coli reduced (P < 0.05) ADG from d0 to 6 (117 vs. 297 g/d) and from d0 to 12 (377 vs. 238 g/d) compared with the control. Meanwhile, the pathogenic E. coli increased (P < 0.05) diarrhea score (average 3.4 vs. 1.4) and RHT (average 82 vs. 11%) on d3, 6, and 9 and the number of white blood cells (17.59 vs. $13.48{\times}10^3/{\mu}L$) on d6 compared with the control. No differences were found on ADFI and others in the blood profile (total protein and hematocrit). In conclusion, pathogenic E. coli used in this experiment successfully caused mild diarrhea, increased number of white blood cells, and adversely affected growth rate of weaned pigs.