General Formulas for Evaluation of Singular Modulus of the Complete Elliptic Integral

K. R. Vasuki,G. Sharath,N. Bhaskar 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.1

The complete elliptic integral of the first kind K(k) is defined for 0 < k < 1 by K(k) := π /2Ɵ=0dƟ/√1 − k2 sin2 ƟThe real number k is called the modulus of the elliptic integral. The complementary modulus is k' = √1 − k2 (0 < k' < 1). Let ⋋ be a positive integer. The equation K(k') = √K(k),defines a unique real number k(k') (0 < k' < 1) called the singular modulus of K(k). In this paper, we establish certain general formulas for evaluating k(λ), by employing Ramanujan’s modular equation.

Stoichiometric Layered Potassium Transition Metal Oxide for Rechargeable Potassium Batteries

Kim, Haegyeom,Seo, Dong-Hwa,Urban, Alexander,Lee, Jinhyuk,Kwon, Deok-Hwang,Bo, Shou-Hang,Shi, Tan,Papp, Joseph K.,McCloskey, Bryan D.,Ceder, Gerbrand American Chemical Society 2018 Chemistry of materials Vol.30 No.18

<P>K-ion batteries are promising alternative energy storage systems for large-scale applications because of the globally abundant K reserves. K-ion batteries benefit from the lower standard redox potential of K/K<SUP>+</SUP> than that of Na/Na<SUP>+</SUP> and even Li/Li<SUP>+</SUP>, which can translate into a higher working voltage. Stable KC<SUB>8</SUB> can also be formed via K intercalation into a graphite anode, which contrasts with the thermodynamically unfavorable Na intercalation into graphite, making graphite a readily available anode for K-ion battery technology. However, to construct practical rocking-chair K-ion batteries, an appropriate cathode material that can accommodate reversible K release and storage is still needed. We show that stoichiometric KCrO<SUB>2</SUB> with a layered O3-type structure can function as a cathode for K-ion batteries and demonstrate a practical rocking-chair K-ion battery. In situ X-ray diffraction and electrochemical titration demonstrate that K<SUB><I>x</I></SUB>CrO<SUB>2</SUB> is stable for a wide K content, allowing for topotactic K extraction and reinsertion. We further explain why stoichiometric KCrO<SUB>2</SUB> is unique in forming the layered structure unlike other stoichiometric K-transition metal oxide compounds, which form nonlayered structures; this fundamental understanding provides insight for the future design of other layered cathodes for K-ion batteries.</P> [FIG OMISSION]</BR>

Group nearest-neighbor queries in the L₁ plane

Son, W.,Bae, S.W.,Ahn, H.K. North-Holland Pub. Co ; Elsevier Science Ltd 2015 Theoretical computer science Vol.592 No.-

<P>Let P be a set of n points in the plane. The k-nearest-neighbor (abbreviated as k-NN) query problem is to preprocess P into a data structure that quickly reports k closest points in P for a query point q. This paper addresses a generalization of the k-NN query problem to a query set Q of points, namely, the group k-nearest-neighbor query problem, in the L-1 plane. More precisely, a query is assigned with a set Q of at most m points and a positive integer k with k <= n, and the distance between a point p of P and a query set Q is defined as the sum of L-1 distances from p to all q is an element of Q. The maximum number m of query points Q is assumed to be known in advance and to be at most n. In this paper, we propose two algorithms, one based on the range tree and the other based on a data structure for segment dragging queries, and obtain the following complexity bounds: (1) a group k-NN query can be handled in O (T-min log n + (k + m(2))(log logn + logm)) time after preprocessing P using O(m(2)nlog(2)n) space, where T-min = min {k + m, m(2)}, or (2) a group k-NN query can be handled in O ((k + m)log(2) n + m(2)(log(is an element of) n + log m)) time after preprocessing P using O (m(2)n) space, where is an element of > 0 is an arbitrarily small constant. We also show that our approach can be applied to the weighted group k-nearest-neighbor query problem and the group k-farthest-neighbor query problem. (C) 2015 Elsevier B.V. All rights reserved.</P>

Urea와 K₂SO₄ 처리에 의한 복숭아 '미백도'에서 수확 시 과실의 무기성분 농도 및 과피색 변화

문병우,윤익구,문영지,남기웅,이영철,Moon, B.W.,Yoon, I.K.,Moon, Y.J.,Nam, K.W.,Lee, Y.C. 국립한국농수산대학교 교육개발센터 2013 현장농업연구지 = Journal of practical agricultural resear Vol.15 No.1

This study has been conducted to investigate the effect of Urea and K₂SO₄ treatment at stone hardening stage and 20 days before harvest on soil chemical properties, mineral nutrient concentration and quality of 'Mibaekdo' fruit peach. K concentration after Urea and K₂SO₄ treatment in soil was increased significantly by Urea 162g+K₂SO₄ 188g/tree(standard amount) treatment at stone hardening stage, K₂SO₄ 1.0% tree-spray, Urea 81g+K₂SO₄ 94g/tree(half amount), Urea 162g+K₂SO₄ 188g/tree and Urea 324g+K₂SO₄ 376g/tree(double amount) soil treatment before harvest 20 days compared to control. T-N, K and Ca concentration in leaf was increased significantly by all treatment. but Na concentration in leaf was increased by Urea 0.5% and K₂SO₄ 1.0% tree-spray treatment before harvest 20 days. T-N concentration in fruit skin was increased significantly by standard amount soil treatment, which decreased by K₂SO₄ 1.0% tree-spray and half amount soil treatment. T-N, K and Ca concentration in fruit flesh(1~10mm depth flesh from peel) were increased markedly by all treatment excepted Urea 0.5% tree-spray. The leaf weight at harvest was increased markedly by Urea 0.5% tree-spray, standard amount and double amount treatment before harvest 20 days. Fruit weight was increased significantly by standard amount compared to all treatment. Red fruit skin(Hunter a value) progress was effective by K₂SO₄ tree-spray, half amount and double amount treatment before harvest 20 days. Fruit SSC was increased significantly by Urea 0.5% and K₂SO₄ tree-spray before harvest 20 days, standard amount treatment at stone hardening stage compared to control.

PCR - RFLP 기법을 이용해 젖소개량을 위한 유전적 표지로서 K- Casein 좌위의 유전자형 분석

정의룡(E . R . Chung),김우태(W . T . Kim),최석호(S . H . Choi),임태진(T . J . Rhim),한상기(S . K . Han) 한국축산학회 1995 한국축산학회지 Vol.37 No.1

Genotypes of K-casein(K-CN) locus as a genetic marker linked to quantitative trait loci affecting traits of economic importance in dairy cattle were determined by PCR-RFLP method. Genomic DNA was prepared from blood of Holstein cows. The PCR was used to amplify an 874 by region between nucleotides 10592 and 11466 from exon IV to intron IV of the bovine K-CN gene using sense primer(5`-GTGCTGAGTAGGTATCCTAG-3`) and antisense primer(5`GTAGAGTGCAACAACACTGG-3`). After amplification, PCR products were digested with four restriction enzymes, Hind III, Rsa I, Taq I, and Pst I, and the fragments were separated by agarose gel electrophoresis for RFLP analysis of K-CN locus. In addition to screening for the known Hind III and Rsa I restriction site polymorphisms of K-CN locus, we have found additional RFLPs specific for the K-CN A and B alleles in Taca I and Pst I enzymes. The amplified DNA product digested with each restriction enzyme generated specific RFLP pattern that allowed precise identification of K-CN AA, BB or AB genotypes. The K-CN genotypes determined for cows by the PCR-RFLP method agreed completely with the phenotypes obtained from milk samples of the same individuals. Thus, PCR amplification and RFLP analysis was shown to be a rapid and sensitive method for the discrimination of K-CN genotypes directly at the DNA level in dairy cattle of any age or sex. Consequently, the PCR-RFLP method presented in this study can be used as a valuable tool for early selection of AI bulls and calves with desirable K-CN B gene or K-CN BB genotype affecting superior milk production traits for genetic improvement of Holstein dairy cattle.

Proposed mechanism in the change of cellular composition in the outer medullary collecting duct during potassium homeostasis.

Park, E-Y,Kim, W-Y,Kim, Y-M,Lee, J-H,Han, K-H,Weiner, I D,Kim, J Gutenberg 2012 HISTOLOGY AND HISTOPATHOLOGY Vol.27 No.12

<P>Potassium depletion (K?-D) induces hypertrophy and hyperplasia of collecting duct cells, and potassium repletion (K?-R) induces regression of these changes. The purpose of this study was to examine the time courses of the changes in cellular composition, the origin of intercalated cells (ICs) and the mechanism responsible for these changes. SD rats received K?-depleted diets for 1, 7, or 14 days. After K?-D for 14 days some of the rats received normal diets for 1, 3, 5, or 7 days. In the inner stripe of the outer medulla, K?-D increased significantly the number and proportion of H?-ATPase-positive ICs, but decreased the proportion of H?-ATPase-negative principal cells (PCs). However, proliferation was limited to H?-ATPase-negative PCs. During K?-R, the cellular composition was recovered to control level. Apoptosis increased during K?-R and exclusively limited in H?-ATPase-negative PCs. Double immunolabeling with antibodies to PC and IC markers identified both cells negative or positive for all markers during both K?-D and K?-R. Electron microscopic observation showed that ultrastructure of AE1-positive some cells were similar to AE1-negative some cells during K?-R. LC3 protein expression increased significantly and autophagic vacuoles appeared particularly in PCs on days 14 of K?-D and in ICs on days 3 of K?-R. These results suggest that PCs and ICs may interconvert in response to changes in dietary K+ availability and that autophagic pathways may be involved in the interconversion.</P>

MOBILE NYLON BAG 기법에 의한 NaOH 처리 보리의 젖소 각 소화관내 영양소 분해율 측정

김병기(B . K . Kim),문여황(Y . H . Moon),이상철(S . C . Lee) 한국영양사료학회 1995 韓國營養飼料學會誌 Vol.19 No.4

Study of B^+/-→K^+/-(K_SKπ)⁰ decay and determination of η_c and η_c(2S) parameters

Belle Collaboration,Vinokurova, A.,Kuzmin, A.,Eidelman, S.,Arinstein, K.,Aulchenko, V.,Aushev, T.,Bakich, A.M.,Balagura, V.,Barberio, E.,Belous, K.,Bhardwaj, V.,Bondar, A.,Bozek, A.,Bracko, M.,Brodzic North-Holland Pub. Co 2011 Physics letters: B Vol.706 No.2

We report the results of a study of B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB> and B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB>(2S) decays followed by η<SUB>c</SUB> and η<SUB>c</SUB>(2S) decays to (K<SUB>S</SUB>Kπ)<SUP>0</SUP>. The results are obtained from a data sample containing 535 million BB@?-meson pairs collected by the Belle experiment at the KEKB e<SUP>+</SUP>e<SUP>-</SUP> collider. We measure the products of the branching fractions B(B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB>)B(η<SUB>c</SUB>→K<SUB>S</SUB>K<SUP>+/-</SUP>π<SUP>@?</SUP>)=(26.7+/-1.4(stat)<SUB>-2.6</SUB><SUP>+2.9</SUP>(syst)+/-4.9(model))x10<SUP>-6</SUP> and B(B<SUP>+/-</SUP>→K<SUP>+/-</SUP>η<SUB>c</SUB>(2S))B(η<SUB>c</SUB>(2S)→K<SUB>S</SUB>K<SUP>+/-</SUP>π<SUP>@?</SUP>)=(3.4<SUB>-1.5</SUB><SUP>+2.2</SUP>(stat+model)<SUB>-0.4</SUB><SUP>+0.5</SUP>(syst))x10<SUP>-6</SUP>. Interference with the non-resonant component leads to significant model uncertainty in the measurement of these product branching fractions. Our analysis accounts for this interference and allows the model uncertainty to be reduced. We also obtain the following charmonia masses and widths: M(η<SUB>c</SUB>)=(2985.4+/-1.5(stat)<SUB>-2.0</SUB><SUP>+0.5</SUP>(syst)) MeV/c<SUP>2</SUP>, Γ(η<SUB>c</SUB>)=(35.1+/-3.1(stat)<SUB>-1.6</SUB><SUP>+1.0</SUP>(syst)) MeV/c<SUP>2</SUP>, M(η<SUB>c</SUB>(2S))=(3636.1<SUB>-4.2</SUB><SUP>+3.9</SUP>(stat+model)<SUB>-2.0</SUB><SUP>+0.7</SUP>(syst)) MeV/c<SUP>2</SUP>, Γ(η<SUB>c</SUB>(2S))=(6.6<SUB>-5.1</SUB><SUP>+8.4</SUP>(stat+model)<SUB>-0.9</SUB><SUP>+2.6</SUP>(syst)) MeV/c<SUP>2</SUP>.

Relationship between Stress Gene Polymorphisms and Litter Size by AI in Pigs

Jin, H.J.,Kim, I.C.,Wee, M.S.,Yeon, S.H.,Kim, C.D.,Lee, S.S.,Cho, C.Y.,Cho, S.R.,Son, D.S.,Park, C.K. 韓國受精卵移植學會 2007 한국동물생명공학회지 Vol.22 No.4

This study was performed to investigate the relationship between PSS-HSP70 gene polymorphism and artificial insemination (AI) reproductivity in the pigs. The RFLP polymorphism of PSS and the SSCP polymorphisms of HSP70 K1, K3 and K4 PCR product were detected different patterns. In the experiment for AI of fresh semen, spring and fall season showed higher litter size born of 10.89 head than 10.47 head of summer season. Landrace was showed higher litter size of 9.96 head than that of Duroc and Yorkshire (p<0.05). Stress relating PSS and HSP70 polymorphism of PSS-Normal, HSP70 K1-BB, K3-AB, K4-AA showd a highest litter size born of 10.97 head and litter size born alive of 10.69 head than that of the other polymorphisms(p<0.05). In the experiment for AI of frozen semen, effects of season and pig breeds were not showed for litter size born. The stress relating polymorphism of PSS-Carrier, HSP70 K1-BB, K3-BB, K4-AB showed highest litter size born of 11.29 head and litter size born alive of 10.82 head and PSS-Normal, HSP70 K1-BB, K3-AB, K4-AA showed the lowest litter size born of 8.48 head and litter size born alive of 7.33 head than that of the other polymorphisms(p<0.05). These results suggest that AI litter size born for the stress of forzen thawed semen may be affected by PSS and HSP70 polymorphism in pigs.

Enrichment of Vitamins $D_3$, K and Iron in Eggs of Laying Hens

Park, S.W.,Namkung, H.,Ahn, H.J.,Paik, I.K. Asian Australasian Association of Animal Productio 2005 Animal Bioscience Vol.18 No.2

An experiment was conducted to produce eggs enriched with vitamins $D_3$, K and iron in eggs. Six hundred 97-wk-old ISA Brown force molted hens were allocated to completely randomized block arrangement of six dietary treatments: T1; control (C), T2; C+4,000 IU vitamin $D_3$+2.5 mg vitamin K+100 ppm Fe, T3; C+8,000 IU vitamin $D_3$+5.0 mg vitamin K+100 ppm Fe, T4; C+12,000 IU vitamin $D_3$+7.5 mg vitamin K+100 ppm Fe, T5; C+16,000 IU vitamin $D_3$+10.0 mg vitamin K+100 ppm Fe, T6; C+20,000 IU vitamin $D_3$+12.5 mg vitamin K+100 ppm Fe. Fe was supplemented with Fe-methionine. Each treatment consisted of five replicates of ten cages with two birds per cage. Egg production and egg weight were highest in T2 and incidence of soft and broken egg was highest in T6. Haugh unit was not different among treatments although it tended to be increased as dietary vitamins $D_3$ and K increased. Eggshell strength was not different among treatment. Concentrations of vitamin $D_3$ and K in egg yolk increased and plateaued approximately 20 days after feeding supplemented diets. The level of these vitamins peaked at 12,000 IU/kg vitamin $D_3$ and 7.5 mg/kg vitamin K supplementation and then decreased at the higher than these supplementation levels. The peak concentrations of vitamin $D_3$ and vitamin K were 4.6 times and 4.8 times greater than the control, respectively. Supplementary Fe also increased Fe content in egg yolk. It is concluded that vitamin $D_3$ and K in eggs can be effectively enriched by proper supplementation time and level of these vitamins.