• Title/Summary/Keyword: alternative proof

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A new versatile Microemulsion Gel Technology with flexible Viscosity

  • Ulrich Kux;Jorg Schreiber;Diec, Khiet-Hien;Sabine Ripke;Wittern, Klaus-Peter
    • Proceedings of the SCSK Conference
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    • 2003.09a
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    • pp.232-257
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    • 2003
  • It has been shown that transparent microemulsion gels of flexibly adjustable viscosity containing less than 10% w/w surfactants can be obtained just by cooling down through a new 1-step preparation procedure (via 4 different in-situ colloidal systems) using PIT-technology with a range of emulsifiers, co-emulsifiers and lipids. They can be used for a wide scope of applications. Specific examples have been given with antiperspirant formulas that proof the stability of these thickened microemulsions even with high content of electrolytes and low pH. We propose that the structure of these microemulsion gels can be described by cross-linking of nano-fine oil droplets via an ABA-triblock copolymer. A new generation of transparent antiperspirant roll-ons with significantly improved skin tolerance can now be formulated as an attractive alternative to alcohol-based products.

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Laser Drilling of High-Density Through Glass Vias (TGVs) for 2.5D and 3D Packaging

  • Delmdahl, Ralph;Paetzel, Rainer
    • Journal of the Microelectronics and Packaging Society
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    • v.21 no.2
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    • pp.53-57
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    • 2014
  • Thin glass (< 100 microns) is a promising material from which advanced interposers for high density electrical interconnects for 2.5D chip packaging can be produced. But thin glass is extremely brittle, so mechanical micromachining to create through glass vias (TGVs) is particularly challenging. In this article we show how laser processing using deep UV excimer lasers at a wavelength of 193 nm provides a viable solution capable of drilling dense patterns of TGVs with high hole counts. Based on mask illumination, this method supports parallel drilling of up over 1,000 through vias in 30 to $100{\mu}m$ thin glass sheets. (We also briefly discuss that ultrafast lasers are an excellent alternative for laser drilling of TGVs at lower pattern densities.) We present data showing that this process can deliver the requisite hole quality and can readily achieve future-proof TGV diameters as small $10{\mu}m$ together with a corresponding reduction in pitch size.

Restrictions on the Entries of the Maps in Free Resolutions and $SC_r$-condition

  • Lee, Kisuk
    • Journal of Integrative Natural Science
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    • v.4 no.4
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    • pp.278-281
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    • 2011
  • We discuss an application of 'restrictions on the entries of the maps in the minimal free resolution' and '$SC_r$-condition of modules', and give an alternative proof of the following result of Foxby: Let M be a finitely generated module of dimension over a Noetherian local ring (A,m). Suppose that $\hat{A}$ has no embedded primes. If A is not Gorenstein, then ${\mu}_i(m,A){\geq}2$ for all i ${\geq}$ dimA.

A Study on the maintenance situation of the deteriorted high-rise apartments (노후 고츨아파트의 유지관리 및 개선실태 조사)

  • 주서령;이미정
    • Journal of the Korean housing association
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    • v.12 no.3
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    • pp.75-83
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    • 2001
  • The deteriorted high-rise apartments make a social problem in now days. As a result, and new alternative plan for deteriorted high-rise apartments such as the remodeling concept must be considered. This study aims to develop the remodeling items which is the guide lines when remodeling of the apartment will be conducted. Thorough the case studies of maintenance and repair status of the deteriorted apartments in seoul, reasonable guidelines for selection of remodeling items were developed. Physical maintenance items includes those that need major repair activity like wall painting, water proof roof, change/repairs/implement of heating system, boiler, city gas pipelines, cold and hot water pipes, elevators, cleaning of water tanks. The period of repair is shorter than the durable year of law or codes. As a result of the study, basic maintenance items and actual repair period were proposed. This result will be the basic guidelines for remodeling items.

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THE SET OF ZOLL METRICS IS NOT PRESERVED BY SOME GEOMETRIC FLOWS

  • Azami, Shahroud;Fasihi-Ramandi, Ghodratallah
    • Communications of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.855-861
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    • 2019
  • The geodesics on the round 2-sphere $S^2$ are all simple closed curves of equal length. In 1903 Otto Zoll introduced other Riemannian surfaces with the same property. After that, his name is attached to the Riemannian manifolds whose geodesics are all simple closed curves of the same length. The question that "whether or not the set of Zoll metrics on 2-sphere $S^2$ is connected?" is still an outstanding open problem in the theory of Zoll manifolds. In the present paper, continuing the work of D. Jane for the case of the Ricci flow, we show that a naive application of some famous geometric flows does not work to answer this problem. In fact, we identify an attribute of Zoll manifolds and prove that along the geometric flows this quantity no longer reflects a Zoll metric. At the end, we will establish an alternative proof of this fact.

Multivariable Recursively Generated Weighted Shifts and the 2-variable Subnormal Completion Problem

  • Idrissi, Kaissar;Zerouali, El Hassan
    • Kyungpook Mathematical Journal
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    • v.58 no.4
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    • pp.711-732
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    • 2018
  • In this paper, we give a new approach to solving the 2-variable subnormal completion problem (SCP for short). To this aim, we extend the notion of recursively generated weighted shifts, introduced by R. Curto and L. Fialkow, to 2-variable case. We next provide "concrete" necessary and sufficient conditions for the existence of solutions to the 2-variable SCP with minimal Berger measure. Furthermore, a short alternative proof to the propagation phenomena, for the subnormal weighted shifts in 2-variable, is given.

THE SECONDARY UPSILON FUNCTION OF L-SPACE KNOTS IS A CONCAVE CONJUGATE

  • Masakazu Teragaito
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.469-477
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    • 2024
  • For a knot in the 3-sphere, the Upsilon invariant is a piecewise linear function defined on the interval [0, 2]. It is known that this invariant of an L-space knot is the Legendre-Fenchel transform (or, convex conjugate) of a certain gap function derived from the Alexander polynomial. To recover an information lost in the Upsilon invariant, Kim and Livingston introduced the secondary Upsilon invariant. In this note, we prove that the secondary Upsilon invariant of an L-space knot is a concave conjugate of a restricted gap function. Also, a similar argument gives an alternative proof of the above fact that the Upsilon invariant of an L-space knot is a convex conjugate of a gap function.

A study on Cause Analyses of Fatal injuries by the Mobile Cranes (이동식 크레인 사고사망재해 심층분석 연구)

  • Shin, Woon-chul;Yeo, Hyun-Wook;Kwon, Jun-hyuck;Yi, Kwan-Hyung
    • Journal of the Korea Safety Management & Science
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    • v.18 no.1
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    • pp.9-15
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    • 2016
  • In this study, the current regulations to be adequate in industrial site have to be renew in order to prevent the fatal injuries by mobile cranes. Fatal injury analyses were conducted with several accident cases by the mobile cranes. For each accident, the causes of the injuries were examined and proper safety measures were proposed. This study proposed a revision of the standard guideline as an accident prevention measures through in-depth analysis of fatal accidents. First, fatality rate per 10,000 persons by the mobiles cranes was 0.57 in 2011. Second, the in-depth analysis of the mobile crane accidents showed that the main factors of the accidents were the overturn of mobile crane, the fracture of connection part between mobile crane boom and rope, the breaking of rope and the misunderstanding over the signal between a mobile crane driver and workers around a mobile crane. Third, the order of high defection of connecting parts was bucket bolt, bracket and extension parts. Fourth, since there were several cases of overturn of mobile crane by itself in the in-depth analysis of the mobile crane, the over slop-proof device was proposed as the main alternative in this study. Fifth, the revision of standards of safety factor that shall be more than 10, of connecting parts of mobile crane was proposed.

Methodology Study of Design Related to Accidental Explosion of Simple Explosive Storage Facility (화약류 간이저장소의 우발적 폭발을 고려한 안전설계 방법 연구)

  • Jung-Gyu, Kim;Seung-Won, Jung;Jun-Ha, Kim;Byung-Hee, Choi
    • Explosives and Blasting
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    • v.40 no.4
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    • pp.1-14
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    • 2022
  • To review the appropriateness of current regulations on the simple explosive storage facility, the effects of internal explosion on the structural stability of the standard storage facility were analyzed by means of both FEM analyses and field experiments. As a result, it was found that the explosion-proof performance of the existing storage structure was not sufficient for 15 kg of emulsion-type explosive. Thus, an alternative method of splitting explosives was tested by conducting sympathetic detonation experiments. This method worked properly as expected, and the proper amount of splitted explosive was determined according to the test results. In addition, a storage structure with open ceiling was found to be very effective because explosion pressure was released so rapidly that the damage of the facility could be reduced significantly. Hence, such a structural pattern was proposed as a new design scheme for simple explosive storage facility.

Can Gödel's Incompleteness Theorem be a Ground for Dialetheism? (괴델의 불완전성 정리가 양진주의의 근거가 될 수 있는가?)

  • Choi, Seungrak
    • Korean Journal of Logic
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    • v.20 no.2
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    • pp.241-271
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    • 2017
  • Dialetheism is the view that there exists a true contradiction. This paper ventures to suggest that Priest's argument for Dialetheism from $G{\ddot{o}}del^{\prime}s$ theorem is unconvincing as the lesson of $G{\ddot{o}}del^{\prime}s$ proof (or Rosser's proof) is that any sufficiently strong theories of arithmetic cannot be both complete and consistent. In addition, a contradiction is derivable in Priest's inconsistent and complete arithmetic. An alternative argument for Dialetheism is given by applying $G{\ddot{o}}del$ sentence to the inconsistent and complete theory of arithmetic. We argue, however, that the alternative argument raises a circularity problem. In sum, $G{\ddot{o}}del^{\prime}s$ and its related theorem merely show the relation between a complete and a consistent theory. A contradiction derived by the application of $G{\ddot{o}}del$ sentence has the value of true sentences, i.e. the both-value, only under the inconsistent models for arithmetic. Without having the assumption of inconsistency or completeness, a true contradiction is not derivable from the application of $G{\ddot{o}}del$ sentence. Hence, $G{\ddot{o}}del^{\prime}s$ and its related theorem never can be a ground for Dialetheism.

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