• Title/Summary/Keyword: proper contractions

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CONTRACTIONS OF CLASS Q AND INVARIANT SUBSPACES

  • DUGGAL, B.P.;KUBRUSLY, C.S.;LEVAN, N.
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.1
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    • pp.169-177
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    • 2005
  • A Hilbert Space operator T is of class Q if $T^2{\ast}T^2-2T{\ast}T + I$ is nonnegative. Every paranormal operator is of class Q, but class-Q operators are not necessarily normaloid. It is shown that if a class-Q contraction T has no nontrivial invariant subspace, then it is a proper contraction. Moreover, the nonnegative operator Q = $T^2{\ast}T^2-2T{\ast}T + I$ also is a proper contraction.

PARANORMAL CONTRACTIONS AND INVARIANT SUBSPACES

  • Duggal, B.P.;Kubrusly, C.S.;Levan, N.
    • Journal of the Korean Mathematical Society
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    • v.40 no.6
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    • pp.933-942
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    • 2003
  • It is shown that if a paranormal contraction T has no nontrivial invariant subspace, then it is a proper contraction. Moreover, the nonnegative operator Q = T/sup 2*/T/sup 2/ - 2T/sup */T + I also is a proper contraction. If a quasihyponormal contraction has no nontrivial invariant subspace then, in addition, its defect operator D is a proper contraction and its itself-commutator is a trace-class strict contraction. Furthermore, if one of Q or D is compact, then so is the other, and Q and D are strict ontraction.

Automatic Determination of Pacing Threshold by Surface ECG Morphology (ECG 형태에 의한 자동화된 pacing 문턱 전압 결정에 관한 연구)

  • Kim, J.;Huh, W.
    • Journal of Biomedical Engineering Research
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    • v.22 no.3
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    • pp.269-273
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    • 2001
  • Proper determination of pacing threshold is important for patient safety and pacemaker longevity. In general, cardiac muscle contractions caused by pacing pulses are verified by observing the morphology of surface ECG displayed on a monitor. In this study, a method of automatic pacing threshold determination based on morphological difference between intrinsic and paced ECGs was developed. First, characteristics of intrinsic ECG and paced ECG were analyzed in time and frequency domain and a proper discrimination parameter was extracted. Then, the automatic capture verification method based on the parameter was developed and applied to 23 pacemaker patients. The selected parameter was the area of ventricular depolarization wave during 80ms after pacing stimulus. It was found that the method was reliable and effective in identifying paced ECG and, thereby, determing a proper pacing threshold.

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After Contraction in Isolated Cardiac Muscle (심룡근(心朧筋)의 반복수축현상(反復收縮現象)에 관(關)하여)

  • Ryo, Ung-Yun;Brooks, Chandler Mcc.
    • The Korean Journal of Physiology
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    • v.1 no.1
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    • pp.67-72
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    • 1967
  • Present paper is attempted to introduce the phenomenon of 'after contraction' in isolated cardiac-muscle. Papillary muscles were removed from cat right ventricle and were used as a preparation. The muscle strip was Placed in tissue bath which is kept in steady temperature of around $25^{\circ}C$ and was perfuced by Tyrode solution, saturated with 95% $O_2$ and 5% $CO_2.$ under the condition of high calcium (8.2-10.0 mM/l), low sodium (72.4-70.0 mM/l) perfusion with the administration of epinephrine (1-2 mg/l) into tile tissue bath normally triggered muscle contraction was followed by oscillatory, repetitive contractions - after contraction. The phenomenon of after contraction was augumented by decrease in tissue bath temperature and by increase in number of preceding beats and in driving rate. Authors were able to maintain the phenomenon in prominent and steady state giving proper experimental conditions such as fixed bath temperature (ranged from $22^{\circ}C\;to\;27^{\circ}C$), suitable driving rate (20 per minute in average) and perfusion of high calcium, loll sodium and 1-2 mg/l of epinephrine. In some preparations, the strength of after contraction (second contraction) reached up-to 80% of normally triggered contraction and five repetitive contractions were observed as largest number of after contractions. Intracellular action potential measured in the muscle which was beating regulary showing steady after contraction revealed no oscillating after potential in most parts of the muscle but in few cases oscillating changes of after potentials were detectable. In electrogram of the muscle preparation recorded by means of contact electrode prominent, oscillating after potentials were observable when the recorder was set at highest sensitivity. It still is not clear that whether after contraction is the phenomenon which corresponds to those changes in action potential, oscillating after potential, of the muscle preparation. Possible mechanism of the phenomenon of after contraction relating with after potential changes was proposed. Detailed results obtained from further studies on after contraction and concrete discussion on the phenomenon will be reported by authors.

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ON k-QUASI-CLASS A CONTRACTIONS

  • Jeon, In Ho;Kim, In Hyoun
    • Korean Journal of Mathematics
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    • v.22 no.1
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    • pp.85-89
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    • 2014
  • A bounded linear Hilbert space operator T is said to be k-quasi-class A operator if it satisfy the operator inequality $T^{*k}{\mid}T^2{\mid}T^k{\geq}T^{*k}{\mid}T{\mid}^2T^k$ for a non-negative integer k. It is proved that if T is a k-quasi-class A contraction, then either T has a nontrivial invariant subspace or T is a proper contraction and the nonnegative operator $D=T^{*k}({\mid}T^2{\mid}-{\mid}T{\mid}^2)T^k$ is strongly stable.

Diagnosis and Treatment of Restless Leg Syndrome and Periodic Limb Movement of Sleep (하지불편 증후군과 주기성 사지운동장애의 진단과 치료)

  • Ham, Byung-Joo
    • Sleep Medicine and Psychophysiology
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    • v.10 no.1
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    • pp.26-31
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    • 2003
  • Restless leg syndrome (RLS) and periodic limb movement of sleep (PLMS), often concurrent, come under diagnosed disorders of sleep and treatable condition. RLS symptoms are evoked in the limbs at rest and increase in the evening and during the night. PLMS is characterized by periodic episodes of repetitive limb movements caused by muscle contractions during sleep. RLS is often associated with a sleep complaint and PLMS. Both RLS and PLMS represent one of the most commonly encountered sleep disorders in a primary care setting. The circadian rhythm and the presence of PLMS cause sleep disturbances in RLS. The emphasis on pathophysiology includes consideration of central nervous system localization, neurotransmitter, and the role of iron metabolism. Dopaminergic agents are considered the treatment of choice for RLS and PLMS. With proper diagnosis and effective treatment patients' ability to fall asleep and maintain sleep improves, and their sense of well being increases.

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Effects of Motor Learning Guided Laryngeal Motor Control Therapy for Muscle Misuse Dysphonia (운동학습이론에 기초한 발성운동조절법이 근오용성 발성장애의 음성에 미치는 효과)

  • Seo, In-Hyo;Lee, Ok-Bun;Lee, Sang-Joon;Chung, Phil-Sang
    • Phonetics and Speech Sciences
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    • v.3 no.3
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    • pp.133-140
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    • 2011
  • Muscle misuse dysphonia (MMD) is defined as a behavioral voice disorder resulting from inappropriate contractions of intrinsic and/or extrinsic laryngeal muscles. The purpose of this study was to investigate the effect of motor learning guided laryngeal motor control therapy (MLG-LMCT) which is designed to improve an existing LMT and further the effective voice treatment on people with muscle misuse dysphonia. Forty-six people with MMD (M:F=16:30) participated in this study. The voice samples of the participants were recorded to investigate the effect of MLG-LMCT before and after the voice therapy. Voice samples were analyzed via electro-glotto-graph (EGG). Contact quotient (CQ), speed quotient (SQ), and waveform were reported. In addition, perceptual and acoustical evaluation were conducted to determine the change of voice improvement after treatment. The experimenter massaged the tensioned muscles around the neck. In order to find more proper phonation the experimenter showed the subjects their EGG wave forms as to whether or not they are moving the vocal folds to the appropriate position. Therefore, the EGG wave forms were used as a type of visual feedback. With the wave form, the experimenter helped subjects move the vocal folds and laryngeal muscles to find more proper voice production. The sensory stimuli from the experimenter gradually faded out. A paired dependent t- test revealed that there was significant differences in CQ between pre- and post-therapy. Perceptually, overall, rough, breathy, strain, and transition were significantly reduced. Acoustically, there were significant differences in Fo, jitter, shimmer, and NHR. After using MLG-LMCT, most of the subjects showed improvements in voice quality. The results from this study led us to the following conclusions: Motor learning guided laryngeal motor control therapy (MLG-LMCT) has reduces muscle misuse dysphonia. These results may occur because a visual feedback from EGG wave form can maintain the effect of the muscle tension reduction from laryngeal manual therapy. In case of people with MMD who reduced muscle tension from the therapy (LMT) but, not appropriately manipulating the location of larynx or adducting the vocal folds, MLG-LMCT might be an alternative therapy approach.

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