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CONTINUITY OF JORDAN *-HOMOMORPHISMS OF BANACH *-ALGEBRAS

  • Draghia, Dumitru D.
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.2
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    • pp.187-191
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    • 1993
  • In this note we prove the following result: Let A be a complex Banach *-algebra with continuous involution and let B be an $A^{*}$-algebra./T(A) = B. Then T is continuous (Theorem 2). From above theorem some others results of special interest and some well-known results follow. (Corollaries 3,4,5,6 and 7). We close this note with some generalizations and some remarks (Theorems 8.9.10 and question). Throughout this note we consider only complex algebras. Let A and B be complex algebras. A linear mapping T from A into B is called jordan homomorphism if T( $x^{1}$) = (Tx)$^{2}$ for all x in A. A linear mapping T : A .rarw. B is called spectrally-contractive mapping if .rho.(Tx).leq..rho.(x) for all x in A, where .rho.(x) denotes spectral radius of element x. Any homomorphism algebra is a spectrally-contractive mapping. If A and B are *-algebras, then a homomorphism T : A.rarw.B is called *-homomorphism if (Th)$^{*}$=Th for all self-adjoint element h in A. Recall that a Banach *-algebras is a complex Banach algebra with an involution *. An $A^{*}$-algebra A is a Banach *-algebra having anauxiliary norm vertical bar . vertical bar which satisfies $B^{*}$-condition vertical bar $x^{*}$x vertical bar = vertical bar x vertical ba $r^{2}$(x in A). A Banach *-algebra whose norm is an algebra $B^{*}$-norm is called $B^{*}$-algebra. The *-semi-simple Banach *-algebras and the semi-simple hermitian Banach *-algebras are $A^{*}$-algebras. Also, $A^{*}$-algebras include $B^{*}$-algebras ( $C^{*}$-algebras). Recall that a semi-prime algebra is an algebra without nilpotents two-sided ideals non-zero. The class of semi-prime algebras includes the class of semi-prime algebras and the class of prime algebras. For all concepts and basic facts about Banach algebras we refer to [2] and [8].].er to [2] and [8].].

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Quality Evaluation by the Addition of Pine Needle and Artemisia princeps Extracts in Vinegared Kochujang (솔잎, 약쑥추출물을 첨가한 초고추장의 품질평가)

  • Kim, Eun-Lyang;Kang, Sun-Chul
    • Applied Biological Chemistry
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    • v.50 no.3
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    • pp.167-177
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    • 2007
  • This study was carried out to develop natural vinegared kochujang. We first formulated vinegared kochujang containing pine needle (PN) and Artemisia princeps (AP) extracts. A dominant strain was isolated from the vinegared kochujang and identified as Bacillus amyloliquefaciens ER282 based on the 16S rDNA sequence. The plant extracts of PN and AP were also investigated for their antibacterial activity and showed enough good activities to use for vinegared kochujang as a natural preservative. Quality characteristics of vinegared kochujang were evaluated, based on total cell numbers, pH, acidity, sugar content, color and sensory evaluation during storage at $25^{\circ}C$ and $37^{\circ}C$, respectively, for 3 weeks. No significant differences were found in the pHs and acidities of vinegared kochujang added with the plant extracts of PN and AP during their storage compared to starting time; however, total cell numbers were gradually decreased during the storage at $25^{\circ}C$ and $37^{\circ}C$, as the storage period was increased. For sensory evaluation, overall preference continuously declined depending on storage period, but the addition of 3% extracts of PN could delay the quality loss of vinegared kochujang during storage at $25^{\circ}C$ and $37^{\circ}C$ for 3 weeks.

Environmental Geochemical Characteristics of the Acid Mine Drainage and Stream Sediments in the Abandoned Honam Coal Mine Area, Korea (호남탄전지역 폐탄광의 산성광산배수와 하상퇴적물의 환경지구화학적 특성)

  • Park, Young-Seog;Kim, Jong-Kyun;Kim, Jin;Jang, Woo-Seog;Lee, Ki-Hyung;Han, Min-Su
    • Economic and Environmental Geology
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    • v.35 no.3
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    • pp.241-255
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    • 2002
  • The purpose of this study is to investigate environmental geochemical characteristics for the acid mine drainage and stream sediments in the abandoned Honam coal mine area. For the chemical analysis, stream winter samples were collected at 54 sites and for the mineralogical and chemical analysis, stream sediments samples were collected at 34 sites. Physical and chemical characteristics of stream water were measured at the site and chemical compositions were analyzed by ICP-AES, ICP-MS and IC. Mineralogical characteristics of stream sediments samples were determined using XRD, SEM and EDS. In physical and chemical properties, stream water shows thats pH 2.85~8.12, Eh -62~215 mV, EC 0.205~146 ms/m, ER 0.234~255 {$\Omega}{\cdot}$m, DO 0.03~1068 mg/L and TDS 10.96~1420mg/L. In chemical compositions, we obtain that K 0.118~3.184 mg/L, Mg 2.1~114.48 mg/L, Ca 2.59~l25.02 mg/L, Al 0.01~44.72 mg/L, Fe 0.108~89.49 mg/L and Na 5.45~125.41 mg/L. Stream sediments are commonly composed of quartz, illite and goethite in the result of x-ray diffraction. After heat treatment at 98$0^{\circ}C$, the hematite peaks are distinctly shown. In consideration of heavy metals (include Fe) for steam sediments, Fe ranges 22575~34713 ppm, Zn 41.66~970.3 ppm, Cd 0.52~52.07 ppm, Cu 1.25~198.5 ppm and Pb 0.43~77.35 ppm.

ELECTRON MICROSCOPIC AND IMMUNOHISTOCHEMICAL STUDY ON THE PROLIFERATION OF RABBIT SUBMANDIBULAR GLANDULAR CELL AFTER DUCT LIGATION AND CUT (가토 악하선 도관 결찰과 절단 후 악하선 세포의 증식에 관한 전자 현미경 및 면역조직화학적 연구)

  • Han, Seung-Woo;Kim, Kyung-Wook;Lee, Jae-Hoon
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.20 no.4
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    • pp.316-333
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    • 1998
  • Obstructive sialadenitis of major salivary glands is a common entity that occurs either in sialolithiasis or in foreign-body obstruction of the excretory ducts. This is characterized histologically by the presence of duct-like structural groups in a highly fibrotic stroma. Although the pathologic features are well recognized, the various cell types involved in the atrophy and subsequent regeneration of the obstructed salivary gland have been controversial. For this reason, an animal model of obstructive sialadenitis that induced atrophy in the salivary gland was used. Experimental study was performed to observe changes of submandibular gland in rabbit and apply the results to clinical activity. Forty-five rabbits each weighing about 3Kg were used and divided into control and experimental group. In the experimental group, ducts of submandibular gland was ligated and cutted divided into each twenty rabbits. Rabbits were serially sacrificed on the 3rd, 5th, 14th, 30th day of experiment. The submandibular glands were dissected out at sacrifice and stained with H&E, MT, immunohistochemical stain and the histological examinations were carried out under the light and transmission electron microscope. After examination and comparison of all specimens, the results of this study were as follows: 1. In the features of H&E stain, moderate infiltration of inflammatory cell were present at 3rd day of experiment. The features of ductal metaplasia was observed after 7th day in the ligation group and destructive changes was continued. In the cutting group, atrophic changes were less severe than ligation group but the small ductule were separated from stroma after 7th day. 2. In the feature of MT stain, apposition of connective tissue was increased in all group, more active in ligation group. 3. In the features of immunohistochemical stain, ligation group showed increased PCNA positive response at 7th day and the higher activity of duct cells was observed. Severance group showed more PCNA positive response than ligation group at 30th day. 4. In TEM features, ductal metaplasia was started at 7th day and degenerative change with margination of nucleus had been severe. Although ductal metaplasia was seen in the severance group, more numerous granule in different size was founded than ligation group. From above results, degenerative change was identified with ductal metaplasia, apically apposition of granule, r-ER destruction in ligation group. Severance of duct elicit degenerative change of grandular cells but the change was less severe than ligation group and more PCNA positive cell was founded at acinar cell.

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Initial Risk Assessment of Benzoyl peroxide in Environment (Benzoyl peroxide의 환경에서의 초기 위해성 평가)

  • Kim Mi Kyoung;Bae Heekyung;Kim Su-Hyon;Song Sanghwan;Koo Hyunju;Park Kwangsik;Lee Moon-Soon;Jeon Sung-Hwan;Na Jin-Gyun
    • Environmental Analysis Health and Toxicology
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    • v.19 no.1
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    • pp.33-40
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    • 2004
  • Benzoyl peroxide is a High Production Volume Chemical, which is produced about 1,371 tons/year in Korea as of 2001 survey. The substance is mainly used as initiators in polymerization, catalysts in the plastics industry, bleaching agents for flour and medication for acne vulgaris. In this study, Quantitative Structure-Activity Relationships (QSAR) are used for getting adequate information on the physical -chemical properties of this chemical. And hydrolysis in water, acute toxicity to aquatic and terrestrial organisms for benzoyl peroxide were studied. The physical -chemical properties of benzoyl peroxide were estimated as followed; vapor pressure=0.00929 Pa, Log $K_{ow}$ = 3.43, Henry's Law constant=3.54${\times}$10$^{-6}$ atm-㎥/mole at $25^{\circ}C$, the half-life of photodegradation=3 days and bioconcentration factor (BCF)=92. Hydrolysis half-life of benzoyl peroxide in water was 5.2 hr at pH 7 at $25^{\circ}C$ and according to the structure of this substance hydrolysis product was expected to benzoic acid. Benzoyl peroxide has toxic effects on the aquatic organisms. 72 hr-Er $C_{50}$ (growth rate) for algae was 0.44 mg/1.,48 hr-E $C_{50}$ for daphnia was 0.07mg/L and the 96hr-L $C_{50}$ of acute toxicity to fish was 0.24mg/L. Acute toxicity to terrestrial organisms (earth worm) of benzoyl peroxide was low (14 day-L $C_{50}$ = > 1,000 mg/kg). Although benzoyl peroxide is high toxic to aquatic organisms, the substance if not bioaccumulated because of the rapid removal by hydrolysis (half-life=5.2 hr at pH 7 at $25^{\circ}C$) and biodegradation (83% by BOD after 21 days). The toxicity observed is assumed to be due to benzoyl peroxide rather than benzoic acid, which shows much lower toxicity to aquatic organisms. One can assume that effects occur before hydrolysis takes place. From the acute toxicity value of algae, daphnia and fish, an assessment factor of 100 was used to determine the predicted no effect concentration (PNEC). The PNEC was calculated to be 0.7$\mu\textrm{g}$/L based on the 48 hr-E $C_{50}$ daphnia (0.07 mg/L). The substance shows high acute toxicity to aquatic organisms and some information indicates wide-dispersive ore of this substance. So this substance is, a candidate for further work, even if it hydrolysis rapidly and has a low bioaccumulation potential. This could lead to local concern for the aquatic environment and therefore environmental exposure assessment is recommended.

Electrochemical Studies on the Heavy Lanthanide Complexes (무거운 란탄족 이온 착물의 전기화학적 연구)

  • Pak, Chong Min;Kim, Chae Kyun;Son, Byung Chan
    • Analytical Science and Technology
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    • v.5 no.3
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    • pp.249-261
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    • 1992
  • Electrochemical behavior of the heavy lanthanide complexes of alizarin red S(ARS) has been investigated by d. c. polarography, differential pulse polarography and cyclic voltammetry. The reduction mechanism at a mercury electrode of alizarin red S as a complexing ligand showed a one step of two-electron transfer and the electron process is found to be reversible. Alizarin red S forms a 3:1 adsorptive complexes with lanthanides and the complexes are reduced via one step of two-elctron. The reduction potential of complex wave($P_2$) shifted more negatively than the ligand wave($P_1$). The linear calibration curves of the decreacing $P_1$ and increasing $P_2$ is obtained when the lanthanide concentration varies from $2.0{\times}10^{-6}M$ to $6.4{\times}10^{-5}M$ under the condition of pH 9.5, 0.1M LiCl and $1{\times}10^{-3}M$ ARS.

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Effects of Lipopolysaccride-induced Stressor on the Expression of Stress-related Genes in Two Breeds of Chickens (Lipopolysaccride 감염처리가 닭의 품종간 스트레스연관 유전자 발현에 미치는 영향)

  • Jang, In Surk;Sohn, Sea Hwan;Moon, Yang Soo
    • Korean Journal of Poultry Science
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    • v.44 no.1
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    • pp.1-9
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    • 2017
  • The objective of the present study was to determine the expression of genes associated with lipopolysaccharide (LPS)-induced stressor in two breeds of chickens: the Korean native chicken (KNC) and the White Leghorn chicken (WLH). Forty chickens per breed, aged 40 weeks, were randomly allotted to the control (CON, administered the saline vehicle) and LPS-injected stress groups. Samples were collected at 0 and 48 h post-LPS injection, and total RNA was extracted from the chicken livers for RNA microarray and quantitative real-time polymerase chain reaction (qRT-PCR) analyses. In response to LPS, 1,044 and 1,193 genes were upregulated, and 1,000 and 1,072 genes were downregulated in the KNC and WLH, respectively, using a ${\geq}2$-fold cutoff change. A functional network analysis revealed that stress-related genes were downregulated in both KNC and WLH after LPS infection. The results obtained from the qRT-PCR analysis of mRNA expression of heat shock 90 (HSP90), 3-hydroxy-3-methylglutaryl-CoA reductase (HMGCR), activating transcription factor 4 (ATF4), sterol regulatory element-binding protein 1 (SREBP1), and X-box binding protein 1 (XBP1) were confirmed by the results of the microarray analysis. There was a significant difference in the expression of stress-associated genes between the control and LPS-injected KNC and WLH groups. The qRT-PCR analysis revealed that the stress-related $HSP90{\alpha}$ and HMGCR genes were downregulated in both LPS-injected KNC and WLH groups. However, the HSP70 and $HSP90{\beta}$ genes were upregulated only in the LPS-injected KNC group. The results suggest that the mRNA expression of stress-related genes is differentially affected by LPS stimulation, and some of the responses varied with the chicken breed. A better understanding of the LPS-induced infective stressors in chicken using the qRT-PCR and RNA microarray analyses may contribute to improving animal welfare and husbandry practices.

Augustin und die Rhetorik (아우구스티누스와 수사학)

  • Hahn, Seok-whan
    • Journal of Korean Philosophical Society
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    • v.116
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    • pp.389-410
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    • 2010
  • Augustin wurde sozusagen von der Rhetorik zum Christentum bekehrt. Der einstmalige Rhetorikprofessor (bis 386) distanziert sich von seiner $fr{\ddot{u}}heren$ Kunst. Aber er $kn{\ddot{u}}pft$ als Bischof im vierten Buch seiner weniger bekannten Schrift "De doctrina Christiana" (DDC; abgef. 427) wieder an die antike Rhetorik, speziell an Cicero, an. So wird die augustinische $Sp{\ddot{a}}tschrift$ $f{\ddot{u}}r$ eine antike Rhetorik in christlicher Verwendung gehalten. Es stellt nun die Frage, was Augustin zur $R{\ddot{u}}ckkehr$ zu seiner $fr{\ddot{u}}heren$ Kunst bewegte. Neuere Forschungen sehen in Augustins Werk eine Grundlage der mittelalterlichen Predigttheorie oder einen $blo{\ss}en$ Versuch, die Rhetorik vom Makel des Sophistischen zu befreien. Gewiss ist seine Einstellung zur "leeren Beredsamkeit" der Sophistik eindeutig, aber dies war eine Haltung, die letztlich von allen seinen christlichen Zeitgenossen geteilt wurde und folglich eines geringen Beweises bedurfte. Die Aufmerksamkeit, die Augustins $sp{\ddot{a}}terem$ Einfluss und seiner Ablehnung der Zweiten Sophistik geschenkt wird, kann den Blick $tr{\ddot{u}}ben$ $f{\ddot{u}}r$ seine Rolle bei der $L{\ddot{o}}sung$ eines christlichen Dilemmas aus dem vierten Jahrhundert. Augustin sah die Gefahren einer entgegengesetzten rhetorischen $H{\ddot{a}}resie$. Die $S{\ddot{u}}nde$ des Sophisten besteht darin, dass er die Notwendigkeit des Inhalts verneint und glaubt, nur die forma alleine sei $w{\ddot{u}}nschenswert$. Der gegenteilige Fehler, dem Geschichtsschreiber der Rhetorik niemals einen Namen gegeben haben, beruht auf dem Glauben, dass derjenige, der im Besitz der Wahrheit ist, auch ipso facto in der Lage ist, die Wahrheit anderen zu ${\ddot{u}}bermitteln$. Es handelt sich um eine $ausschlie{\ss}liche$ $Abh{\ddot{a}}ngigkeit$ von der materia. Augustin erkannte eine Gefahr und benutzte DDC dazu, eine Verbindung von Inhalt und Form in der christlichen Predigt voranzutreiben. Nur wenn man daher das Buch als einen Teil der $gro{\ss}en$ Debatte des vierten Jahrhunderts ansieht, tritt seine historische Bedeutung klar hervor. Der Leser ist beeindruckt davon, dass der Autor darauf insistiert, es sei eine Torheit, dem Feind ein $n{\ddot{u}}tzliches$ Instrument zu ${\ddot{u}}berlassen$. Augustin $erkl{\ddot{a}}rt$, dass die Kunst der Beredsamkeit rege in Gebrauch genommen und nicht kurzerhand abgelehnt werden solle, weil sie mit dem Makel des Heidentums behaftet sei. Kurz gesagt, geplant ist das vierte Buch von DDC als eine ratio eloquentiae Christianae.

Zwei Perspektiven für die Kunst - Kants Ästhethik des Empfangenden und Nietzsches Physiologie der Kunst - (예술에 대한 두 가지 태도 - 칸트의 수용미학과 니체의 예술생리학 -)

  • Chung, Nak-rim
    • Journal of Korean Philosophical Society
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    • v.130
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    • pp.277-304
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    • 2014
  • Der vorliegende Beitrag zielt darauft ab, zwei Perspektiven $f{\ddot{u}}r$ die Kunst bei Kant und Nietzsche und ihre Schlussfolgerungen zu $er{\ddot{o}}rtern$. Kants Kritik der Urteilskraft hat eine enorme Rolle in der Geschichte der ${\ddot{A}}sthetik$ gespielt. $F{\ddot{u}}r$ Kant sollen ${\ddot{a}}sthetische$ Urteile ebenso wie Erkenntnis- und Moralurteile $allgemeing{\ddot{u}}ltig$ sein, obwohl sie auf einem $pers{\ddot{o}}nlichen$ Geschmack beruhen. Die $Allgemeing{\ddot{u}}ltigkeit$ des $Sch{\ddot{o}}nen$ sei $m{\ddot{o}}glich$, weil sie nicht auf dem Gegenstand, sondern auf dem transzendentalen Subjekt basiere. Die $sch{\ddot{o}}ne$ Kunst als Kunst des Genies soll uns wie die $Natursch{\ddot{o}}nheit$ ohne Interesse wohlgefallen. Nietzsches Stellungnahme zu Kants ${\ddot{A}}sthetik$ ist sehr kritisch. Nietzsches erster Kritikpunkt richtet sich gegen das 'interesselose Wohlgefallen'. Gegen Kant behauptet Nietzsche, dass die $Sch{\ddot{o}}nheit$ sehr wohl mit Interesse verbunden ist. Grund $daf{\ddot{u}}r$ ist, dass das $Sch{\ddot{o}}ne$ wesentlich aus dem Willen zur Macht entspringt. Der zweite Kritikpunk Nietzsches liegt darin, dass in Kants ${\ddot{A}}sthetik$ die Moral im Vordergrund steht. Das $Sch{\ddot{o}}ne$ ist $f{\ddot{u}}r$ Kant durch die Moral gerechtfertigt. Nietzsche dreht diese Stellung der Moral zur Kunst um. Der dritte Kritikpunkt Nietzsches ist, dass Kant statt von der Erfahrung des $K{\ddot{u}}nstlers$ (Schaffenden) aus das ${\ddot{a}}sthetische$ Problem zu betrachten, allein vom Zuschauer (Empfangenden) aus ${\ddot{u}}ber$ die Kunst und das $Sch{\ddot{o}}ne$ nachgedacht habe. $F{\ddot{u}}r$ Nietzsche ist die Kunst $prim{\ddot{a}}r$ vom $K{\ddot{u}}nstler$ aus zu verstehen. Nietzsches Physiologie der Kunst ist mit dem Begriff 'Leib' $verkn{\ddot{u}}pft$, d.h. Nietzsche behauptet, dass physiologische und ${\ddot{a}}sthetische$ Prozesse wesentlich $zusammenh{\ddot{a}}ngen$. Die Schlussfolgerung der Physiologie der Kunst lautet: erstens, jeder Mensch ist $K{\ddot{u}}nstler$, sofern er schaffend ist, und zweitens, die Welt selbst ist nichts als Kunst. Nietzsches Physiologie der Kunst hat einen $gro{\ss}en$ Einfluss auf die $gegenw{\ddot{a}}rtige$ Kunst $ausge{\ddot{u}}bt$ und kein anderer Philosoph hat auf die $gegenw{\ddot{a}}rtige$ Kunst nachaltiger gewirkt.

Der Vollrauschtatbestand de lege ferenda (완전명정죄 처벌규정의 입법론)

  • Seong, Nak-Hyon
    • Journal of Legislation Research
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    • no.55
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    • pp.137-166
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    • 2018
  • Wenn nach dem starken Trinken etwas strafbares passiert, so ist das Gesamtverhalten als $strafw{\ddot{u}}rdig$ und strafbar anzuerkennen. Aber nach dem Schuldprinzip handelt ohne Schuld, wer bei Begehung der Tat $unf{\ddot{a}}hig$ ist, das Unrecht der Tat einzusehen oder nach dieser Einsicht zu handeln(Koinzidenzprinzip). Die Rechtsfigur der "actio libera in causa" dient dazu, diese in $h{\ddot{a}}ufigen$ $F{\ddot{a}}llen$ als kriminalpolitisch $unerw{\ddot{u}}nscht$ empfundene $L{\ddot{u}}cke$ zu umgehen. Dabei kommt auch dem Vollrauschtatbestand in der Praxis $erh{\ddot{o}}hte$ Bedeutung zu. Der deutsche Gesetzgeber war sich bei der Aufnahme des Vollrauschtatbestandes in das Gesetz durchaus $bewu{\ss}t$, $da{\ss}$ die Vorschrift eine Ausnahme zur Schuldzurechnungsregelung darstellte. Er $w{\ddot{a}}hlte$ jedoch die Form eines $selbst{\ddot{a}}ndigen$ Tatbestandes, um die Durchbrechung des reinen Schuldprinzips $ertr{\ddot{a}}glich$ zu machen. Der Vollrauschtatbestand ist ein abstraktes $Gef{\ddot{a}}hrdungdsdelikt$ -demnach die im Rausch verwirklichte rechtswidrige Tat nur objektive Bedingung der Strafbarkeit ist -, das sachlich eine Schuldzurechnungsregelung $enth{\ddot{a}}lt$, und zwar eine Ausnahme $gegen{\ddot{u}}ber$ die Regelungen ${\ddot{u}}ber$ Schuldzurechnung. Dieser Vollrauschtatbestand ist dennoch als regitime $Erg{\ddot{a}}nzung$ der in Schuldzurechnungsregelungen beschriebenen $Schuldzurechnungsgrunds{\ddot{a}}tze$ anzusehen. Er steht $n{\ddot{a}}mlich$ in Einklang mit dem Schuldgrundsatz, wenn als subjektives Tatbestandsmerkmal des Vollrausches die Kenntnis der $Gef{\ddot{a}}hrlichkeit$ des Rauschzustandes $f{\ddot{u}}r$ die Begehung von Delikten vorausgesetzt wird.