• 제목/요약/키워드: ${\bar{C}}T$

검색결과 168건 처리시간 0.026초

A BANACH ALGEBRA AND ITS EQUIVALENT SPACES OVER PATHS WITH A POSITIVE MEASURE

  • Cho, Dong Hyun
    • 대한수학회논문집
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    • 제35권3호
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    • pp.809-823
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    • 2020
  • Let C[0, T] denote the space of continuous, real-valued functions on the interval [0, T] and let C0[0, T] be the space of functions x in C[0, T] with x(0) = 0. In this paper, we introduce a Banach algebra ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ on C[0, T] and its equivalent space ${\bar{\mathcal{F}}}({\mathcal{H}}) $, a space of transforms of equivalence classes of measures, which generalizes Fresnel class 𝓕(𝓗), where 𝓗 is an appropriate real separable Hilbert space of functions on [0, T]. We also investigate their properties and derive an isomorphism between ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ and ${\bar{\mathcal{F}}}({\mathcal{H}}) $. When C[0, T] is replaced by C0[0, T], ${\bar{\mathcal{F}}}({\mathcal{H}}) $ and ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ reduce to 𝓕(𝓗) and Cameron-Storvick's Banach algebra 𝓢, respectively, which is the space of generalized Fourier-Stieltjes transforms of the complex-valued, finite Borel measures on L2[0, T].

ON SPACES OF WEAK* TO WEAK CONTINUOUS COMPACT OPERATORS

  • Kim, Ju Myung
    • 대한수학회보
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    • 제50권1호
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    • pp.161-173
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    • 2013
  • This paper is concerned with the space $\mathcal{K}_{w^*}(X^*,Y)$ of $weak^*$ to weak continuous compact operators from the dual space $X^*$ of a Banach space X to a Banach space Y. We show that if $X^*$ or $Y^*$ has the Radon-Nikod$\acute{y}$m property, $\mathcal{C}$ is a convex subset of $\mathcal{K}_{w^*}(X^*,Y)$ with $0{\in}\mathcal{C}$ and T is a bounded linear operator from $X^*$ into Y, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\{S{\in}\mathcal{C}:{\parallel}S{\parallel}{\leq}{\parallel}T{\parallel}\}}^{{\tau}_{\mathcal{c}}}$, where ${\tau}_{\mathcal{c}}$ is the topology of uniform convergence on each compact subset of X, moreover, if $T{\in}\mathcal{K}_{w^*}(X^*, Y)$, here $\mathcal{C}$ need not to contain 0, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\mathcal{C}}$ in the topology of the operator norm. Some properties of $\mathcal{K}_{w^*}(X^*,Y)$ are presented.

수소 생산을 위한 알칼라인 수전해장치 상용품 제작 (Commercial Production for the Hydrogen Generation with Alkaline Electrode Cells)

  • 김보연;김동진;강은영;김태완;심희찬;이택홍
    • 한국수소및신에너지학회논문집
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    • 제26권3호
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    • pp.206-211
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    • 2015
  • For the hydrogen production, Gas Lab and Gnc make alkaline watrer electrolyzer and found optimized condition of experimental parameters of cell material and operating procedures. For the commercial production, we saved electric power consumption and caloric based efficiency with over 70%. Used cell pressures are 10 bar, 30 bar and consumed electricity is $4,000A/m^2$, 4.19 kW ($T=100^{\circ}C$) at 10 bar. Another data is $2,000A/m^2$, 3.92 kW ($T=95^{\circ}C$) at 30 bar. Applied voltage is 1.75 V ($100^{\circ}C$, 10 bar), 1.64 V ($95^{\circ}C$, 10 bar), 1.81 V ($85^{\circ}C$, 30 bar), 1.76 V ($95^{\circ}C$, 30 bar). As cell temperature increase, applied voltage has been decreased and current has been increased. The concentration of KOH solution is 30 weight %.

STRONG CONVERGENCE OF PATHS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

  • Kang, Shin Min;Cho, Sun Young;Kwun, Young Chel
    • Korean Journal of Mathematics
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    • 제19권3호
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    • pp.279-289
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    • 2011
  • Let E be a uniformly convex Banach space with a uniformly Gateaux differentiable norm, C be a nonempty closed convex subset of E and f : $C{\rightarrow}C$ be a fixed bounded continuous strong pseudocontraction with the coefficient ${\alpha}{\in}(0,1)$. Let $\{{\lambda}_t\}_{0<t<1}$ be a net of positive real numbers such that ${\lim}_{t{\rightarrow}0}{\lambda}_t={\infty}$ and S = {$T(s)$ : $0{\leq}s$ < ${\infty}$} be a nonexpansive semigroup on C such that $F(S){\neq}{\emptyset}$, where F(S) denotes the set of fixed points of the semigroup. Then sequence {$x_t$} defined by $x_t=tf(x_t)+(1-t)\frac{1}{{\lambda}_t}{\int_{0}}^{{\lambda}_t}T(s)x{_t}ds$ converges strongly as $t{\rightarrow}0$ to $\bar{x}{\in}F(S)$, which solves the following variational inequality ${\langle}(f-I)\bar{x},\;p-\bar{x}{\rangle}{\leq}0$ for all $p{\in}F(S)$.

Layering Effects on Clothing Microclimate, Clothing Insulation and Physiological Responses

  • Park, Joonhee;Yoo, Shinjung
    • International Journal of Human Ecology
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    • 제14권2호
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    • pp.93-103
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    • 2013
  • This study investigated the relationship of clothing microclimate and physiological responses in order to examine the layering effects on the clothing microclimate as an index to predict clothing thermal insulation ($I_{cl}$). Experiments were conducted in a $15^{\circ}C$ environment on six physically active males. Increased clothing layers resulted in higher mean temperature inside the clothing ($\bar{T}_{cl}$) and $I_{cl}$. The $I_{cl}$ had a high correlation with: $\bar{T}_{cl}$ (r = 0.556), the difference between the innermost surface temperature and the outermost surface temperature at the chest (DST) (r = 0.549) and the temperature inside clothing at the abdomen (r = 0.478). $\bar{T}_{cl}$ had the highest correlation with the temperature inside clothing at the abdomen (r = 0.889). $\bar{T}_{cl}$ also had the highest correlation with $\bar{T}_{sk}$ (r = 0.860). The results showed that the relationship between $I_{cl}$ and $\bar{T}_{cl}$ was linear (p < .01). Thermal comfort had a negative correlation with $\bar{T}_{cl-thigh}$ (r=-0.411) and $\bar{T}_{cl}$ (r = -0.323) (p < .01.)

Hetero-Epi막 성장용 사파이어 기판의 산에칭 (Acid Etching of Sapphire Substrate for Hetero-Epitaxial Growth)

  • 김향숙;황진수;정필조
    • 대한화학회지
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    • 제39권1호
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    • pp.1-6
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    • 1995
  • 단결정 적층막을 제조하기 위해 사용되는 사파이어 기판에 대하여 황산과 인산의 혼합용액 화학적 에칭을 조사하였다. 여러가지 배향면의 사파이어에 대한 에칭정도는 황산과 인산의 3:1 조성과 $315{\pm}2^{\circ}C$에서 에칭시간에 의존하였다. 280~320$^{\circ}C$ 범위에서 30분간씩 산에칭시킨 후에 에칭속도(R)를 구하였고, log R에 대한 $1/T$ semilog plot로부터 활성화에너지$(E_a)$를 구하였으며, 그것은 $({\bar1}012) > (10{\bar1}0) > (11{\bar2}0) > (0001)$면 순서로 감소하였다. 한편 (0001), $({\bar1}012),\;(10{\bar1}0)$$(11{\bar2}0)$면의 표층 두께를 각각 64.6, 46.5, 16.2와 5.1 ${\mu}m$ 에칭시킨 후의 기판 표면을 SEM으로 관찰하였다.

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'아유르베다'($\bar{A}yurveda$)의 의경(醫經)에 관한 연구 (A Study of The Medical Classics in the '$\bar{A}yurveda$')

  • 김기욱;박현국;서지영
    • 대한한의학원전학회지
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    • 제20권4호
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    • pp.91-117
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    • 2007
  • Through a simple study of the medical classics in the '$\bar{A}yurveda$', we have summarized them as follows. 1) Traditional Indian medicine started in the Ganges river area at about 1500 B. C. E. and traces of medical science can be found in the "Rigveda" and "Atharvaveda". 2) The "Charaka" and "$Su\acute{s}hruta$(妙聞集)", ancient texts from India, are not the work of one person, but the result of the work and errors of different doctors and philosophers. Due to the lack of historical records, the time of Charaka or $Su\acute{s}hruta$(妙聞)s' lives are not exactly known. So the completion of the "Charaka" is estimated at 1st${\sim}$2nd century C. E. in northwestern India, and the "$Su\acute{s}hruta$" is estimated to have been completed in 3rd${\sim}$4th century C. E. in central India. Also, the "Charaka" contains details on internal medicine, while the "$Su\acute{s}hruta$" contains more details on surgery by comparison. 3) '$V\bar{a}gbhata$', one of the revered Vriddha Trayi(triad of the ancients, 三醫聖) of the '$\bar{A}yurveda$', lived and worked in about the 7th century and wrote the "$A\d{s}\d{t}\bar{a}nga$ $A\d{s}\d{t}\bar{a}nga$ $h\d{r}daya$ $sa\d{m}hit\bar{a}$ $samhit\bar{a}$(八支集)" and "$A\d{s}\d{t}\bar{a}nga$ Sangraha $samhit\bar{a}$(八心集)", where he tried to compromise and unify the "Charaka" and "$Su\acute{s}hruta$". The "$A\d{s}\d{t}\bar{a}nga$ Sangraha $samhit\bar{a}$" was translated into Tibetan and Arabic at about the 8th${\sim}$9th century, and if we generalize the medicinal plants recorded in each the "Charaka", "$Su\acute{s}hruta$" and the "$A\d{s}\d{t}\bar{a}nga$ Sangraha $samhit\bar{a}$", there are 240, 370, 240 types each. 4) The 'Madhava' focused on one of the subjects of Indian medicine, '$Nid\bar{a}na$' ie meaning "the cause of diseases(病因論)", and in one of the copies found by Bower in 4th century C. E. we can see that it uses prescriptions from the "BuHaLaJi(布哈拉集)", "Charaka", "$Su\acute{s}hruta$". 5) According to the "Charaka", there were 8 branches of ancient medicine in India : treatment of the body(kayacikitsa), special surgery(salakya), removal of alien substances(salyapahartka), treatment of poison or mis-combined medicines(visagaravairodhikaprasamana), the study of ghosts(bhutavidya), pediatrics(kaumarabhrtya), perennial youth and long life(rasayana), and the strengthening of the essence of the body(vajikarana). 6) The '$\bar{A}yurveda$', which originated from ancient experience, was recorded in Sanskrit, which was a theorization of knowledge, and also was written in verses to make memorizing easy, and made medicine the exclusive possession of the Brahmin. The first annotations were 1060 for the "Charaka", 1200 for the "$Su\acute{s}hruta$", 1150 for the "$A\d{s}\d{t}\bar{a}nga$ Sangraha $samhit\bar{a}$", and 1100 for the "$Nid\bar{a}na$", The use of various mineral medicines in the "Charaka" or the use of mercury as internal medicine in the "$A\d{s}\d{t}\bar{a}nga$ Sangraha $samhit\bar{a}$", and the palpation of the pulse for diagnosing in the '$\bar{A}yurveda$' and 'XiZhang(西藏)' medicine are similar to TCM's pulse diagnostics. The coexistence with Arabian 'Unani' medicine, compromise with western medicine and the reactionism trend restored the '$\bar{A}yurveda$' today. 7) The "Charaka" is a book inclined to internal medicine that investigates the origin of human disease which used the dualism of the 'Samkhya', the natural philosophy of the 'Vaisesika' and the logic of the 'Nyaya' in medical theories, and its structure has 16 syllables per line, 2 lines per poem and is recorded in poetry and prose. Also, the "Charaka" can be summarized into the introduction, cause, judgement, body, sensory organs, treatment, pharmaceuticals, and end, and can be seen as a work that strongly reflects the moral code of Brahmin and Aryans. 8) In extracting bloody pus, the "Charaka" introduces a 'sharp tool' bloodletting treatment, while the "$Su\scute{s}hruta$" introduces many surgical methods such as the use of gourd dippers, horns, sucking the blood with leeches. Also the "$Su\acute{s}hruta$" has 19 chapters specializing in ophthalmology, and shows 76 types of eye diseases and their treatments. 9) Since anatomy did not develop in Indian medicine, the inner structure of the human body was not well known. The only exception is 'GuXiangXue(骨相學)' which developed from 'Atharvaveda' times and the "$A\d{s}\d{t}\bar{a}nga$ Sangraha $samhit\bar{a}$". In the "$A\d{s}\d{t}\bar{a}nga$ Sangraha $samhit\bar{a}$"'s 'ShenTiLun(身體論)' there is a thorough listing of the development of a child from pregnancy to birth. The '$\bar{A}yurveda$' is not just an ancient traditional medical system but is being called alternative medicine in the west because of its ability to supplement western medicine and, as its effects are being proved scientifically it is gaining attention worldwide. We would like to say that what we have researched is just a small fragment and a limited view, and would like to correct and supplement any insufficient parts through more research of new records.

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최대-최대 빈도수 k-SAT 알고리즘 (k-SAT Problem Algorithm Based on Maximum-Maximum Frequency)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제23권6호
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    • pp.125-132
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    • 2023
  • 본 논문은 NP-완전으로 알려진 k-SAT 문제의 절의 수 m에 대해 O(km)의 다항시간 알고리즘을 제안하였다. 기존에 널리 알려진 DPLL은 문자 수 𝑙에 대해 분기한정법의 전수탐색으로 해를 찾지 못하면 역추적을 수행하는 방식으로 최악의 경우 O(2𝑙)을 수행해야 한다. DPLL은 최소 빈도수 문자가 포함된 절을 참(T)으로 하도록 문자에 참(T) 또는 거짓(F)을 대입하여 해당 문자가 포함된 절을 제거하는 방식으로 SAT Solver의 근간을 이루고 있다. 제안된 알고리즘은 DPLL과는 반대로 부울 수식 f에 존재하는 최대 빈도수 문자 max𝑙을 선택하고, $_{\max}({\mid}l{\mid},{\mid}{\bar{l}}{\mid})=1$로 설정하고, 𝑙∈ci 절은 삭제하며, ${\bar{l}}{\in}c_i$절에서 ${\bar{l}}$를 삭제하는 방법을 적용하였다. 제안된 알고리즘을 다양한 k-SAT 문제들에 적용한 결과 기존의 DPLL 알고리즘보다 적은 횟수를 수행함을 알 수 있었다.

도전성 잉크를 사용한 바코드의 국가코드 모양 UHF RFID 태그 안테나 (UHF RFID Tag Using National Code in a Bar-code Using Conductive Ink)

  • 정유정;전병돈
    • 한국통신학회논문지
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    • 제37권2C호
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    • pp.168-172
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    • 2012
  • 본 논문에서는 바코드 중에서 국가코드 부분을 활용하여 UHF 대역의 RFID 태그 안테나를 도전성 잉크로 설계 및 제작하였다. 바코드는 일반 종이 박스에서 흔히 볼 수 있는 바코드를 샘플 바코드로 사용하였다. 제작 방법은 도전성 잉크로 제작된 바코드 모양의 도전율을 측정하고, 그 측정치를 simulation 프로그램에 입력하여 설계하였다. 제작된 태그 안테나는 T-매칭 방식을 채택하여 크기를 줄이고, 제작된 태그는 바코드의 인식과 UHF 대역 RFID 태그 인식이 모두 만족할 수 있게 제작하였다. 임피던스를 측정하여 태그 칩과의 정합정도를 계산하였고, 인식거리 패턴을 측정하였다.