Analysis of 22 Y chromosomal STR haplotypes and Y haplogroup distribution in Pathans of Pakistan

Lee, E.Y.,Shin, K.J.,Rakha, A.,Sim, J.E.,Park, M.J.,Kim, N.Y.,Yang, W.I.,Lee, H.Y. Elsevier Science 2014 FORENSIC SCIENCE INTERNATIONAL GENETICS Vol.11 No.-

We analyzed haplotypes for 22 Y chromosomal STRs (Y-STRs), including 17 Yfiler loci (DYS19, DYS385a/b, DYS389I/II, DYS390, DYS391, DYS392, DYS393, DYS437, DY438, DYS439, DYS448, DYS456, DYS458, DYS635 and Y-GATA-H4) and five additional STRs (DYS388, DYS446, DYS447, DYS449 and DYS464), and Y chromosomal haplogroup distribution in 270 unrelated individuals from the Pathans residing in the Federally Administered Tribal Areas and the North-West Frontier Province of Pakistan using in-house multiplex PCR systems. Each Y-STR showed diversities ranging from 0.2506 to 0.8538, and the discriminatory capacity (DC) was 73.7% with 199 observed haplotypes using 17 Yfiler loci. By the addition of 5 Y-STRs to the Yfiler system, the DC was increased to 85.2% while showing 230 observed haplotypes. Among the additional 5 Y-STRs, DYS446, DYS447 and DYS449 were major contributors to enhancing discrimination. In the analysis of molecular variance, the Pathans of this study showed significant differences from other Pathan populations as well as neighboring population sets. In Y-SNP analysis, a total of 12 Y chromosomal haplogroups were observed and the most frequent haplogroup was R1a1a with 49.3% frequency. To obtain insights on the origin of Pathans, the network analysis was performed for the haplogroups G and Q observed from the Pathans and the Jewish population groups including Ashkenazim and Sephardim, but little support for a Jewish origin could be found. In the present study, we report Y-STR population data in Pathans of Pakistan, and we emphasize the need for adding additional markers to the commonly used 17 Yfiler loci to achieve more improved discriminatory capacity in a population with low genetic diversity.

Effects of calcium doping on the superconducting properties of top-seeded melt growth processed Y_1.5Ba_2-xCa_xCu₃O_y superconductors

Park, S.D.,Kim, H.J.,Park, B.J.,Han, Y.H.,Jun, B.H.,Lee, J.S.,Kim, C.J. North-Holland 2011 Physica. C, Superconductivity Vol.471 No.21

The effect of calcium doping on the superconducting properties of top seeded melt growth (TSMG) processed Y<SUB>1.5</SUB>Ba<SUB>2-x</SUB>Ca<SUB>x</SUB>Cu<SUB>3</SUB>O<SUB>y</SUB> superconductors was studied in terms of calcium content (X<SUB>ca</SUB>). YBa<SUB>2-x</SUB>Ca<SUB>x</SUB>Cu<SUB>3</SUB>O<SUB>7-δ</SUB> (X<SUB>ca</SUB>=0, 0.005, 0.01, 0.02, 0.04, 0.1, 0.3) powders were synthesized by the powder calcination method. YBa<SUB>2-x</SUB>Ca<SUB>x</SUB>Cu<SUB>3</SUB>O<SUB>7-δ</SUB> powders were mixed with 0.25mole Y<SUB>2</SUB>O<SUB>3</SUB> powder and 1wt.% CeO<SUB>2</SUB> as Y<SUB>2</SUB>BaCuO<SUB>5</SUB> (Y211) refiner, and finally made into Y<SUB>1</SUB>.<SUB>5</SUB>Ba<SUB>2-x</SUB>Ca<SUB>x</SUB>Cu<SUB>3</SUB>O<SUB>y</SUB> (Y1.5)+1wt.% CeO<SUB>2</SUB> composition. The single Y123 growth on the top surface was observed up to X<SUB>ca</SUB>=0.1, while the multiple Y123 growth was observed at X<SUB>ca</SUB>≥0.1. The superconducting transition temperature (T<SUB>c</SUB>) and critical current density (J<SUB>c</SUB>) of TSMG processed Y1.5 samples were inversely proportional to X<SUB>ca</SUB>. The Y211 size increased with increasing X<SUB>ca</SUB> due to the enhancement of Y211 coarsening by calcium doping. No Y211 refining effect by CeO<SUB>2</SUB> was observed in the calcium doped samples. The T<SUB>c</SUB> and J<SUB>c</SUB> decrease by calcium doping are likely to be due to the calcium incorporation with the Y123 lattice and formation of coarse Y211 particles.

Effects of Y₂O₃ additions on the oxygen diffusion in top-seeded melt growth processed YBa₂Cu₃O_7-y superconductors

Jun, B.H.,Jung, S.A.,Park, S.D.,Park, B.J.,Han, Y.H.,Kim, C.J. North-Holland 2011 Physica. C, Superconductivity Vol.471 No.21

To understand the effect of Y<SUB>2</SUB>BaCuO<SUB>5</SUB> (Y211)/YBa<SUB>2</SUB>Cu<SUB>3</SUB>O<SUB>7-y</SUB> (Y123) interfaces on the oxygen diffusion in single grain YBa<SUB>2</SUB>Cu<SUB>3</SUB>O<SUB>7-y</SUB> superconductors, single grain Y123 superconductors with 0.05 and 0.3moles of Y<SUB>2</SUB>O<SUB>3</SUB> additions were fabricated by a top-seeded melt growth (TSMG) process. Y123 compacts with Y<SUB>2</SUB>O<SUB>3</SUB> additions were subjected to melt growth heating cycles with a cooling rate of 1<SUP>o</SUP>C/h through a peritectic temperature (1015<SUP>o</SUP>C) and then annealed at 450<SUP>o</SUP>C for 200h in flowing oxygen. The superconducting temperature (T<SUB>c</SUB>) and critical current density (J<SUB>c</SUB>) were estimated for the three different regions (top surface (s), intermediate (i) and center (c)) of samples. The amount of Y211/Y123 interface area in single grain Y123 superconductors was successfully controlled by Y<SUB>2</SUB>O<SUB>3</SUB> additions. The T<SUB>c</SUB> values of s regions were higher than those of i and c regions, which indicates the presence of more oxygen at the sample surfaces. In addition, the T<SUB>c</SUB> values of i and c regions of the Y123 sample with 0.3mole Y<SUB>2</SUB>O<SUB>3</SUB> addition were higher than those of the same regions of the Y123 sample with 0.05mole Y<SUB>2</SUB>O<SUB>3</SUB> addition due to the promoted oxygen diffusion through Y211/Y123 interfaces and other related defects. In spite of the promoted oxygen diffusion by Y<SUB>2</SUB>O<SUB>3</SUB> addition, the large T<SUB>c</SUB> difference among the regions still existed, which suggests sluggish oxygen diffusion into single Y123 grains.

음이온 치환을 이용한 Li_1-xFeO_2-yF_y-Li_xMnO₂ (Mn/(Mn + Fe) = 0.8, 0≤y≤0.15) 양극 활물질의 합성 및 전기화학적 특성

허정배,박금재,이윤성,Heo, J.B.,Park, G.J.,Lee, Y.S. 한국전기화학회 2007 한국전기화학회지 Vol.10 No.4

산소자리에 치환된 불소가 $Li_{1-x}FeO_2Li_xMnO_2$ (Mn/(Mn + Fe) = 0.8) 양극 활물질에 미치는 영향을 고찰하기 위해 다양한 양의 불소를 치환시킨 $Li_{1-x}FeO_{2-y}F_y-Li_xMnO_2$ (Mn/(Mn + Fe) = 0.8, $0.05{\le}y{\le}0.15$) 양극 활물질을 고상법을 이용하여 합성하였다. 불소 미치환 시료 및 치환양이 0.05와 0.1의 시료의 경우, $1-1.5\;{\mu}m$ 크기의 막대 형상 분말 형태에 50-100 nm정도의 작은 구형 입자들이 주위에 분포되어 있는 형태이었다. 반면, 불소 치환양이 0.15인 시료의 경우, 그 모양이 구형으로 변화되어지며 입자가 급격하게 성장하였다. 합성된 시료를 이용하여 제작된 셀들의 충 방전 수행 결과, $Li/Li_{1-x}FeO_{1.9}F_{0.1}-Li_xMnO_2$ 셀이 163 mAh/g의 가장 높은 초기용량을 보였으며 50 싸이클 후에도 95%의 높은 가역 특성을 보였다. 특히, 활물질내의 불소 치환양이 증가할수록 초기 방전용량도 같이 증가하였으나, 불소이온의 치환양이 일정량을 (y>0.1) 넘는 경우에는 산소 자리에 불소이온이 완전하게 치환되지 못하고 불순물로 존재함으로써 전지의 가역특성을 현저하게 저하시키는 요인으로 작용함을 확인하였다. In order to investigate the effect of fluorine ion in the $Li_{1-x}FeO_2Li_xMnO_2$ (Mn/(Mn + Fe) = 0.8) cathode material, it was synthesized $Li_{1-x}FeO_{2-y}F_y-Li_xMnO_2$ (Mn/(Mn + Fe) = 0.8, $0.05{\le}y{\le}0.15$) cathode materials at $350^{\circ}C$ for 10hrs using solid-state method. $Li_{1-x}FeO_{2-y}F_y-Li_xMnO_2$ (Mn/(Mn + Fe) = 0.8, $0.0{\le}y{\le}0.1$ was composed many large needle-like particles of about $1-1.5\;{\mu}m$ and small particles of about 50-100 nm, which were distributed among the larger particles. However, $Li_{1-x}FeO_{1.85}F_{0.15}-Li_xMnO_2$ material showed slightly different particle morphology. The particles of $Li_{1-x}FeO_{1.85}F_{0.15}-Li_xMnO_2$ were suddenly increased and started to be a spherical type of particle shape. $Li/Li_{1-x}FeO_{1.9}F_{0.1}-Li_xMnO_2$ cell showed a high initial discharge capacity of 163 mAh/g and a high cycle retention rate of 95% after 50 cycles. The initial discharge capacity of $Li/Li_{1-x}FeO_{2-y}F_y-Li_xMnO_2$ ($0.05{\le}y{\le}0.15$) cells increased according to the increase of F content. However, the cycleability of this cell was very rapidly decreased when the substituted fluorine content is over 0.1. We suggested that too large amount of F ion fail to substitute into the $Li_{1-x}FeO_2-Li_xMnO_2$ structure, which resulted in the severe decline of battery performance.

韓國人의 標準體重値와 正常適應體重値에 關한 硏究

尹太永,崔重明,朴淳永,金大棒 韓國保健敎育學會 1996 보건교육건강증진학회지 Vol.13 No.1

Using Random Sampling, the authors measured the body heights and weights of 31,151 persons- 17,102 in males and 14,049 in females from metropolitan, urban and rural areas between 6 to over 80 year old - for the purpose of investigating the type and the actual condition of the Korean's growth and development. At first, on the basis of the results, the authors measured the growth and development, various kinds of physiques, nutritional index of the 6 to 20s age group. Second, the authors presented the standard body weight of males and females by their body height, who were in the end of their growth (20-29 age group). Third, the authors calculated and presented the normal adapted body weight of the age group who were over 30 age after the growth had been completed. Forth, the author presented the obesity rate of the adults over 20 years old by body mass index. Finally, the authors compared chronological change of the Koreans' body heights and body weights with the results of other researchers. 1. Body Measurement Rapid growth, in terms of body height, which is described by a straight line on a growth curve has been observed among males in the ages 6-13 and among females 6-14. That growth curve turned out to be slower among the people of higher ages by both sexes. The cross-over occurred in both sexes at 11-14. The highest growth rate for a year is at 13-16 for males and 11-13 for females. This indicates that females enter a rapidly growing stage 2 years earlier than males. 2. Various Physiques and Nutritional Index Rapid growth, in terms of Relative Body Weight Index, which is described by a straight line, has been observed among males in the ages 6-16 and females in the ages 6-14. The cross-over occurred in both sexes 12.5-14.5 age in the adolescencent period. Whereupon females outgrow males. The Roher Index displayed more good value in case of females than male and in the adolescent period, the level of fullness is lower than after the completion of development. The Kaup Indices of both sexes increase with age. The index is less than 2.0 for males in 6-14 age group and for females in 6-13 age group and with this, it appeared that development of horizontal axis to long axis is poor. The index is more than 2.0 after 15 age group in males and 14 age group in females and developmental state4 age group and for females in 6-13 age group and with this, it appeared that development of horizontal axis to long axis is poor. The index is more than 2.0 after 15 age group in males and 14 age group in females and developmental state. Body Mass Index is less than 20 for males 6-14 age group and for females in 6-13 age group. In the case of the higher age group, that index maintains a normal state. 3. Average Body Height, Body Weight and Desirable Body Weight of Korean Youth (20-29 Age Group) The average body weight and body height of full-grown Korean youth was 172.5 ± 5.4㎝ and 66.3 = 9.5㎏ for male, 159.3 ±4.6 ㎝ and 53.5 ±6.9 ㎏ for females. In the case of calculating Desirable Body Weight of Korean youth, correlation coefficient of r = + 0.38(p < 0.001)between body height and body weight was found the male group and r = + 0.37(p < 0.001) in the female group, from which respective linear regression equation of body weight and height was established for male and female as follows; Male : Y(Body Weight, ㎏) = 0.66 x (Body Height, ㎝) - 48.93 Female :Y(Body Weight, ㎏) = 0.56 x (Body Height, ㎝) - 36.01 4. Formulae for calculating Normal Adapted Body Weight of Korean Adult. ⅰ)Average body height and body weight by age-groups 30-39 age-group Male : 170.4 ±4.9㎝ and 67.6 ±8.1㎏ Female : 158.5 ±3.9㎝ and 53.6 ±6.0㎏ 40-49 age-group Male : 169.1 ±4.9㎝ and 68.0 ±8.5㎏ Female : 157.3 ±4.7㎝ and 56.8 ±7.7㎏ 50-59 age-group Male : 168.1 ±6.8㎝ and 66.0 ±8.1㎏ Female : 157.2 ±4.7㎝ and 57.3 ±7.1㎏ 60-69 age-group Male : 168.0 ±5.3㎝ and 46.7 ±8.7㎏ Female : 155.2 ±5.0㎝ and 56.2 ±9.1㎏ Over 70 age-group Male : 166.1± 6.5㎝ and 62.8±1.2㎏ Female : 152.8 ±5.3㎝ and 52.8 ±8.5㎏ ⅱ) Correlation Coefficient and Linear Regression Equation by Age-groups 30-39 age-group Male : r=+0.44(p<0.001), Y=0.73X-57.94 Female : r=+0.45(p<0.001), Y=0.68X-55.52 40-39 age-group Male : r=+0.54(p<0.001), Y=0.93X-89.92 Female : r=+0.41(p<0.001), Y=0.67X-50.52 50-59 age-group Male : r=+0.32(p<0.001), Y=0.38X-1.22 Female : r=+0.37(p<0.001), Y=0.55X-29.76 60-69 age-group Male : r=+0.51(p<0.001), Y=0.83X-74.84 Female : r=+0.39(p<0.001), Y=0.70X-53.06 over 70 age-group Male : r=+0.63(p<0.001), Y=1.10X-119.96 Female : r=+0.40(p<0.001), Y=0.63X-44.64 Standard Body Weight and Normal Adapted Body Weight of Korean Adult by Age. Using respective regression equation, standard body weight<Table 10, 11>, normal adapted body weight <Table 12~21>, overweight and underweight of the Korean Adult was established for each age group. 6. Obesity Rate of Korean Adult Obesity rate of Korean adult was 9.4% (Male: 9.9%, Female : 8.4%). 7. The Chronological Change on Mean Values of Body Height and Body Weight in Korean Adult The Comparison with the mean values of body height and weight from 1910s to the present 1994 was been remarkably improved, and listed in <Table 23>.

DMF effect on the morphology and the luminescence properties of Y₂O₃:Eu³⁺ red phosphor prepared by spray pyrolysis

Jung, K.Y.,Kang, Y.C.,Park, Y.K. Korean Society of Industrial and Engineering Chemi 2008 Journal of industrial and engineering chemistry Vol.14 No.2

N,N-Dimethylformamide (DMF) was used as a drying control chemical additive (DCCA) in spray pyrolysis in order to improve the luminous properties of Y<SUB>2</SUB>O<SUB>3</SUB>:Eu particles. It was found that the addition of DMF to the spray solution containing citric acid (CA) and ethylene glycol (EG) greatly enhances the photoluminescence intensity as well as the morphology of Y<SUB>2</SUB>O<SUB>3</SUB>:Eu particles. According to BET analysis, the surface area of Y<SUB>2</SUB>O<SUB>3</SUB>:Eu particles prepared from the solution containing only the organic additives was not reduced, whereas, the surface area of the Y<SUB>2</SUB>O<SUB>3</SUB>:Eu particles prepared from the solution containing both DMF and organic additives was decreased gradually as increasing the concentration of DMF. From these results, it was concluded that the adding of DMF to the spray solution containing the organic additives is a very effective way to reduce the porosity of phosphor particles, keeping the spherical morphology. As a result, the densification of porous structure led to greatly improve the photoluminescence intensity of Y<SUB>2</SUB>O<SUB>3</SUB>:Eu particles under ultraviolet (254nm) excitation. Finally, the prepared Y<SUB>2</SUB>O<SUB>3</SUB>:Eu particles with dense structure showed about 208% improved photoluminescence intensity compared with the particles which have a spherical shape but porous structure.

放射線 治療의 迅速正確을 위한 低溫熔融 遮蔽物의 製作과 應用

秋成實,李道行,朴昌潤 대한방사선방어학회 1979 방사선방어학회지 Vol.4 No.1

高에너지 放射線 治療에 있어서 正常組織의 完全遮蔽를 위하여 5∼8cm 납두께의 不定形 遮蔽벽돌을 製作해야 하는 難點이 있었다. 著者들은 납 30.0%, 주석 11.5% 비스므스 48.5%, 카드미늄 10.0%를 四種 共晶結合시켜 密度가 9.8g/㎤이고 熔融溫度가 68℃인 低熔融 遮蔽物質을 開發하여 이를 Lead Y라고 名命하였다. 製作된 Lead Y Block을 68℃에서 熔融시켜 保護해야할 重要한 臟器의 形態대로 製作된 styrofoam 陰刑에 부어서 遮蔽效果가 큰 遮蔽벽돌을 쉽고 安全하게 製作할 수 있었고 납보다 더 단단하고 再現性이 크며 低廉한 가격으로 購入이 可能하므로 放射線 治療效果에 큰 도움을 줄 수 있었다. For accurate and easily shielding irregular shaped organ, its minimized penumbra region and a low melting point alloy "Lead Y" and synchronizing instrument have been developed. The "Lead Y" is the quaternary eutectic alloy and it is composed of Lead 30.0% Tin 11.5% Bismuth 48.5% Cadmium 10.0% The density of its at 22℃ is 9.8g/㎤ and the melting temperature has 40℃ to 68℃. The thickness of "Lead Y" for perfect shielding of Co-60 gamma ray and LINAC 10MeV x-ray is 6cm and 7cm respectively. The "Lead Y" shielding block is casted directly on the styrofoam from which is cut with hot wire of synchronizer device. The special features and advantages of the Lead Y shielding block could be summarized as follows: 1. The shielding block for radiotherapy is rapidly processed only with boiling water and styrofoam. 2. It is not injure one's health and not danger of a fire, because of not generating of any metals vapor and evil smelling. 3. It is very effective to minimize secondary penumbra for the protection of healthy tissue from unnecessary ionizing radiation regardless of the magnification source to skin distance. 4. The HVL of the Lead Y is 1.2cm for Co-60 gamma ray and it's shielding effect if almost same as the pure lead block. 5. The hardness of Lead Y is 1.5 times higher than lead block. 6. It's reavailability is higher than lead block and then one block of Lead Y is reavailable about 30 to 40 times. 7. It is useful for shielding of x-ray, gamma ray, beta-ray, electron and neutron radiation. 8. The materials for Lead Y are easy to acquire with reasonable price and tractable.

Zn ion의 영향에 따른 $(Y,\;Zn)_2O_3$:$Eu^{3+}$ 적색 형광체의 발광특성

송영현,문지욱,박우정,윤대호,Song, Y.H.,Moon, J.W.,Park, W.J.,Yoon, D.H. 한국결정성장학회 2008 한국결정성장학회지 Vol.18 No.6

본 연구에서는 자외선 영역에서 발광하는 우수한 특성의 적색 형광체를 얻기 위하여 고상 반응법으로 air 분위기에서 $1200^{\circ}C$에서 6시간 동안 열처리하여 $(Y,\;Zn)_2O_3$:$Eu^{3+}$를 Zn 이온의 농도 변화에 따라 실험하였다. $(Y,\;Zn)_2O_3$:$Eu^{3+}$를 XRD에 의해 비교 분석한 결과 주요 peak들이 JCPDS card(No. 41-1105)와 거의 일치하는 것을 확인하였다. 그러나 Zn 이온치 농도가 5 mol% 이상일 때 XRD에서 ZnO의 peak이 관찰되는 것을 확인 하였다. 이로 인하여 Zn 이온의 농도가 5 mol% 이하일 때 불순물 상 없이 $Y_2O_3$ 구조에 잘 고용되는 것을 확인하였다. $(Y,\;Zn)_2O_3$:$Eu^{3+}$의 발광 peak은 여기 흡수 영역인 ${\lambda}ex=254\;nm$를 기준으로 612 nm 영역에서 $Eu^{3+}$ 이온의 $^5D_0{\rightarrow}^7F_2$에 전형적인 에너지 천이에 의해 가장 강한 발광 peak을 나타내는 것을 확인하였으나 Zn 이온의 농도가 10 mo1% 이상일 때 갑자기 발광 peak이 현저히 감소하는 것을 확인하였고 최대의 발광 peak을 가질 때 형광체의 조성은 $(Y_{0.95},\;Zn_{0.05})_2O_3$:$Eu^{3+}_{0.075}$이였고 입자 size는 $0.4{\sim}3{\mu}m$로 확인되었다. To enhance the luminescence properties, the red phosphor composed of $(Y,\;Zn)_2O_3$:$Eu^{3+}$ as doping concentration of Zn ion is synthesized at $1200^{\circ}C$ for 6 hrs in air atmosphere by conventional solid reaction method. As a result of the red phosphor $(Y,\;Zn)_2O_3$:$Eu^{3+}$ is measured X-ray diffraction (XRD), The main peak is nearly corresponded to the same as JCPDS card (No. 41-1105). When the doping concentration of Zn ion is more than 5 mol%, However, the ZnO peak is showed by XRD analysis. Therefore, when the doping concentration of Zn ion is less than 5 mol%, the Zn ion is well mixed in $Y_2O_3$ structure without the impurity phases. The photoluminescence (PL) properties is shown as this phosphor is excited in 254 nm region and the highest emission spectra of $(Y,\;Zn)_2O_3$:$Eu^{3+}$ has shown in 612 nm region because of a typical energy transition ($^5D_0{\rightarrow}^7F_2$) of $Eu^{3+}$ ion. As the doping concentration of Zn ion is more than 10 mol%, the emission peak is suddenly decreased. when the highest emission peak as doping concentration of Zn ion is shown, the composition of this phosphor is $(Y_{0.95},\;Zn_{0.05})_2O_3$:$Eu^{3+}_{0.075}$ and the particle size analyzed by FE-SEM is confirmed from 0.4 to $3{\mu}m$.

Effects of $BaCO_3$ purity on the superconducting properties of top seeded melt growth processed $Y_{1+x}Ba_2Cu_3O_y$ superconductors

Choi, J.S.,Park, S.D.,Jun, B.H.,Han, Y.H.,Sung, T.H.,Choo, K.N.,Kim, C.J. The Korean Society of Superconductivity and Cryoge 2009 한국초전도저온공학회논문지 Vol.11 No.2

Effects of $BaCO_3$ purity on the superconducting properties of top seeded melt growth (TSMG) processed $Y_{1+x}Ba_2Cu_3O_{7-y}$ (Y1+x, x=0.1 and 0.2) superconductors were investigated. $YBa_2Cu_3O_{7-y}$ (Y123) powder prepared using $BaCO_3$ with 99.75% purity and commercially available Y123 powder of 99.9% were used for the fabrication of single Y123 grain superconductors. $T_c$ values of the Y1+x samples prepared using low purity Y123 powder were slightly lower than those of the samples prepared using a high purity powder. In addition to the lower $T_c$, an anomalous peak effect in the intermediate magnetic fields was observed in Y1+x samples prepared using the low purity $BaCO_3$ powder. The slight decrease in $T_c$ and the anomalous peak effect are ascribed to the possible incorporation of a Y123 phase with impurity elements such as strontium and calcium included in the $BaCO_3$powder of 99.7%. The result suggests that the low purity $BaCO_3$ powder of a low price can be used as a raw power for the fabrication of single grain YBCO bulk superconductors.

Random Stability of an Additive-Quadratic-Quartic Functional Equation

Mohamadi, M.,Cho, Y. J.,Park, C.,Vetro, P.,Saadati, R. Hindawi Publishing Corporation 2010 Journal of inequalities and applications Vol.2010 No.1

<P>Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x-2y)=2f(x+y)+2f(-x-y)+2f(x-y)+2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)-4f(y)-4f(-y) in complete random normed spaces.</P>