• 제목/요약/키워드: $r$-minimal open

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ON PETERSON'S OPEN PROBLEM AND REPRESENTATIONS OF THE GENERAL LINEAR GROUPS

  • Phuc, Dang Vo
    • 대한수학회지
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    • 제58권3호
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    • pp.643-702
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    • 2021
  • Fix ℤ/2 is the prime field of two elements and write 𝒜2 for the mod 2 Steenrod algebra. Denote by GLd := GL(d, ℤ/2) the general linear group of rank d over ℤ/2 and by ${\mathfrak{P}}_d$ the polynomial algebra ℤ/2[x1, x2, …, xd] as a connected unstable 𝒜2-module on d generators of degree one. We study the Peterson "hit problem" of finding the minimal set of 𝒜2-generators for ${\mathfrak{P}}_d$. Equivalently, we need to determine a basis for the ℤ/2-vector space $$Q{\mathfrak{P}}_d:={\mathbb{Z}}/2{\otimes}_{\mathcal{A}_2}\;{\mathfrak{P}}_d{\sim_=}{\mathfrak{P}}_d/{\mathcal{A}}^+_2{\mathfrak{P}}_d$$ in each degree n ≥ 1. Note that this space is a representation of GLd over ℤ/2. The problem for d = 5 is not yet completely solved, and unknown in general. In this work, we give an explicit solution to the hit problem of five variables in the generic degree n = r(2t - 1) + 2ts with r = d = 5, s = 8 and t an arbitrary non-negative integer. An application of this study to the cases t = 0 and t = 1 shows that the Singer algebraic transfer of rank 5 is an isomorphism in the bidegrees (5, 5 + (13.20 - 5)) and (5, 5 + (13.21 - 5)). Moreover, the result when t ≥ 2 was also discussed. Here, the Singer transfer of rank d is a ℤ/2-algebra homomorphism from GLd-coinvariants of certain subspaces of $Q{\mathfrak{P}}_d$ to the cohomology groups of the Steenrod algebra, $Ext^{d,d+*}_{\mathcal{A}_2}$ (ℤ/2, ℤ/2). It is one of the useful tools for studying these mysterious Ext groups.

출하취급과 차량형태가 출하돈의 스트레스와 도체품질에 미치는 영향 (Effects of Handling and Transport Vehicle on Stress and Carcass Quality of Market Pigs)

  • 김두환;송준익;전중환
    • 한국축산시설환경학회지
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    • 제17권2호
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    • pp.101-106
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    • 2011
  • 출하취급과 출하차량 형태가 출하돈의 혈액성상과 도체품질에 미치는 영향을 분석하기 위하여 개방형 트럭과 밀폐형 박스 트럭으로 구분하고 각각의 차량형태에 대하여 출하취급을 최대한 부드럽게 혹은 상차, 하차, 계류 과정에 전기봉 사용을 포함하여 고의적으로 거칠게 하는 그룹으로 나누어 체중 약 110kg에 출하되는 삼원교잡종 비육돈 144두를 공시하여 조사, 분석하였다. 모든 출하돈은 계류장 도착 후 3시간 동안 계류하였다. 혈액은 도축직후에 채취하였고 배최장근 시료는 도축 12시간 후 (overnight)에 채취하여 분석에 사용하였다. 출하돈의 스트레스와 관련된 혈중 glucose, cortisol, creatine kinase 및 lactate dehydrogenase 농도는 출하취급을 부드럽게 한 그룹에 비하여 고의적으로 거칠게 취급한 그룹에서 높았으며 결과적으로 PSE 발생율이 높게 나타났다. 그러나 출하차량은 출하돈의 스트레스 관련 혈액성상과 도체품질에 영향을 미치지 않는 것으로 나타났다. 결론적으로 부드러운 출하취급은 PSE 발생을 줄이기 위한 좋은 방법이 될 수 있다. 그러나 출하취급이 거칠면 혈중 스트레스 관련 지표들의 농도가 증가하여 동물복지를 나쁘게 할 수 있어 거친 취급은 반드시 피해야 할 것이다. 또한 출하차량은 출하돈의 스트레스와 도체품질 등 직접적인 측면보다는 외관, 악취 등 간접적인 측면에서 검토되어야 할 것으로 판단된다.

Urea-SCR 시스템의 NH3 흡·탈착 특성 및 모델기반 제어 연구 (A Study of NH3 Adsorption/Desorption Characteristics and Model Based Control in the Urea-SCR System)

  • 함윤영;박수열
    • 한국자동차공학회논문집
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    • 제24권3호
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    • pp.302-309
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    • 2016
  • Urea-SCR system is currently regarded as promising NOx reduction technology for diesel engines. SCR system has to achieve maximal NOx conversion in combination with minimal $NH_3$ slip. In this study, model based open loop control for urea injection was developed and assessed in the European Transient Cycle (ETC) for heavy duty diesel engine. On the basis of the transient modeling, the kinetic parameters of the $NH_3$ adsorption and desorption are calibrated with the experimental results performed over the zeolite based catalyst. $NH_3$ storage or surface coverage of SCR catalyst can not be measured directly and has to be calculated, which is taken into account as a control parameter in this model. In order to reduce $NH_3$ slip while maintaining NOx reduction, $NH_3$ storage control algorithm was applied to correct the basic urea quantity. If the actual $NH_3$ surface coverage is higher than the maximal $NH_3$ surface coverage, the urea injection quantity is significantly reduced in the ETC cycle. By applying this logic, the resulting $NH_3$ slip peak can be avoided effectively. With optimizing the kinetic parameters based on standard SCR reaction, it suggests that a simplified, less accurate model can be effective to evaluate the capability of model based control in the ETC cycle.

A PHONEMIC ANALYSIS OF THE UNWRITTEN LANGUAGE OF THE PULANG TRIBE

  • Kang, Su-Hee
    • 대한음성학회:학술대회논문집
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    • 대한음성학회 2000년도 7월 학술대회지
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    • pp.166-177
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    • 2000
  • The purpose of this study was to create letters for of nonliterary Pulang tribe in Thailand those who immigrant from China. illiterate Pulang tribe hand down their tradition by primary oral culture therefore their tradition can't initiate and keep, moreover, it may disappear throughout history. So it is expected to crusade against unlettered people. The scheme of research adopted in this study was a minority race who habitate at the northern Machan, Chiangrai in Thailand. It is not only analysis of language but also the eradication of literacy and the research based on linguistic, ethnolinguistic, and primary oral culture. Five Pulang people who live in that area were chosen for creating letters. By using the I. P. A., after each word was listen to their pronunciation one by one it was described and repeated this process several times; the material words and humanbody were pointed in front of them while other words were described by gesture. For final description, number of people were in the lineup for listening the sound of words and phrases to sentences. In the first stage, it was an analysis segmental of Pulang: vocoid, contoid and diphthong were described with each sample syllables and words. The suprasegmental were studied with intonation and juncture of the words in the second stage. Two words were compared and different meanings within their intonation and juncture were shown. At the end of this part, each case of phonemic or morphophonemics representation described the juncture in the words. In the third stage, minimal pairs were analyzed with vowels and consonants and described in free variation based on words. In the last stage, syllable structure in open syllable and closed syllable was studied and then each syllable of its structure was analyzed with samples. There were thirty-two phonemes in apong Pulang as follows: seven vocoids; a, i, e, o, u, ${\ae}$, and $\wedge$, one diphthong; wu, 24 contoids; b, c, d, f, g, h, j, k, k, 1, m, n, ${\eta}, {\;}p^{h}$, p, p, r, s, s, sh, t, t, w, and y. Their pronunciations of p, s, d, $p^{h}$, j, and t are frequently used in speech and are unique in triphthong. Moreover, most of the words used initial and final consonant cluster.

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