On the low-temperature limit of the mean square amplitude matrix

1972 ◽  
Vol 12 (3) ◽  
pp. 471-477 ◽  
Author(s):  
Ø. Ra
Keyword(s):  
Low Temperature ◽  
Temperature Limit ◽  
Mean Square ◽  
The Mean ◽  
Amplitude Matrix

scholarly journals HIGH TEMPERATURE LIMIT OF THE N=2 MATRIX MODEL

1999 ◽  
Vol 14 (40) ◽  
pp. 2753-2765 ◽  
Author(s):  
SUBRATA BAL ◽  
B. SATHIAPALAN
Keyword(s):  
High Temperature ◽  
Partition Function ◽  
Power Series ◽  
Temperature Limit ◽  
Mean Square ◽  
Inverse Temperature ◽  
High Temperature Limit ◽  
Leading Term ◽  
The Mean ◽  
Physical Quantities

The high temperature limit of a system of two D-0 branes is investigated. The partition function can be expressed as a power series in β (inverse temperature). The leading term in the high temperature expression of the partition function and effective potential is calculated exactly. Physical quantities like the mean square separation can also be exactly determined in the high temperature limit.

On some relations involving the mean-square amplitude matrix

1973 ◽  
Vol 17 (1) ◽  
pp. 1-4 ◽  
Author(s):  
L.S. Mayants ◽  
S.J. Cyvin
Keyword(s):  
Mean Square ◽  
The Mean ◽  
Amplitude Matrix

Properties of superfluid 3He–B in the low-temperature limit

1987 ◽  
Vol 65 (11) ◽  
pp. 1494-1496
Author(s):  
A. M. Guénault ◽  
G. R. Pickett
Keyword(s):  
Low Temperature ◽  
Energy Gap ◽  
Temperature Limit ◽  
Superfluid 3He ◽  
Bulk Liquid ◽  
Normal Fluid ◽  
Quasi Particle ◽  
Thermomechanical Effect ◽  
Silver Sinter ◽  
The Mean

Several experiments are described in 3He–B at temperatures down to 125 μK and below. In this low-temperature regime, the normal-fluid density is negligible with the consequence that the quasi-particle gas is virtually noninteracting, because the mean free paths for quasi-particle–quasi–particle scattering are orders of magnitude greater than the size of the experiment. We have measured the boundary conductance across a liquid-to-silver sinter interface. The measured conductance shows an exp(−Δ/kT) dependence, with Δ being a superfluid energy gap that is apparently lower than that appropriate for the bulk liquid. We observe the onset of dissipation by pair-breaking induced by a moving wire, which also implies that the energy gap is depressed near a boundary. Finally, we have used such a supercritically driven wire as a ballistic quasi-particle source to observe a new thermomechanical effect in 3He–B, and hence to devise the elements of a quasi-particle spectrometer.

The Bordeaux Automatic Meridian Circle

1978 ◽  
Vol 48 ◽  
pp. 227-228
Author(s):  
Y. Requième
Keyword(s):  
Mean Square Error ◽  
Mean Square ◽  
Meridian Circle ◽  
The Mean ◽  
Full Automation

In spite of important delays in the initial planning, the full automation of the Bordeaux meridian circle is progressing well and will be ready for regular observations by the middle of the next year. It is expected that the mean square error for one observation will be about ±0.”10 in the two coordinates for declinations up to 87°.

The mean-square generalized delayed decision feedback sequence detector

2003 ◽  
Vol 14 (3) ◽  
pp. 265-268 ◽  
Author(s):  
Maurizio Magarini ◽  
Arnaldo Spalvieri ◽  
Guido Tartara
Keyword(s):  
Decision Feedback ◽  
Mean Square ◽  
The Mean

Low-temperature limit of the rate of propagation of chains in the hydrobromination of ethylene

1979 ◽  
Vol 76 ◽  
pp. 1013-1015 ◽  
Author(s):  
D.P. Kiryukhin ◽  
I.M. Barkalov ◽  
V.l. Goldanskii
Keyword(s):  
Low Temperature ◽  
Temperature Limit

ФОРМИРОВАНИЕ ПЕРЕХОДНОГО СЛОЯ ALN НА ТЕМПЛЕЙТАХ 3С-SIC/SI(111) МЕТОДОМ АММИАЧНОЙ МОЛЕКУЛЯРНО-ЛУЧЕВОЙ ЭПИТАКСИИ

2020 ◽  
Vol 96 (3s) ◽  
pp. 148-153
Author(s):  
С.Д. Федотов ◽  
А.В. Бабаев ◽  
В.Н. Стаценко ◽  
К.А. Царик ◽  
В.К. Неволин
Keyword(s):  
Crystal Structure ◽  
Growth Rate ◽  
Low Temperature ◽  
Surface Morphology ◽  
Single Crystal ◽  
Root Mean Square Roughness ◽  
Rate Variation ◽  
Mean Square ◽  
Nucleation Layer ◽  
Low Temperature Epitaxy

Представлены результаты изучения морфологии поверхности и структуры слоев AlN, сформированных аммиачной МЛЭ на темплейтах 3C-SiC/Si(111) on-axis- и 4° off-axis-разориентации. Опробован технологический режим низкотемпературной эпитаксии зародышевого слоя AlN на поверхности 3C-SiC(111). Среднеквадратичная шероховатость поверхности (5 х 5 мкм) слоев AlN толщиной 150 ± 50 нм составила 2,5-3,5 нм на темплейтах 3C-SiC/Si(111) on-axis и 3,3-3,5 нм на 4° off-axis. Показано уменьшение шероховатости смачивающего слоя AlN при изменении скорости роста. Получены монокристаллические слои AlN(0002) со значениями FWHM (ω-геометрия) 1,4-1,6°. The paper presents the surface morphology and crystal structure of AlN layers formed by ammonia MBE on 3C-SiC/Si(111) on-axis and 4° off-axis disorientation. It offers the technological approach of low-temperature epitaxy of the AlN nucleation layer on the 3C-SiC (111) surface. Root mean square roughness (5 х 5 |xm) of AlN layers with thickness of 150 ± 50 nm was 2,5-3,5 nm onto on-axis templates and 3.3-3.5 nm onto 4° off-axis. It appears that the RMS roughness of the AlN surface is changing with the growth rate variation. Single-crystal AlN(0002) layers with FWHM values (ω-geometry) of 1.4-1.6° have been obtained.

Limit tolerances for sums of measurement errors

2018 ◽  
Vol 934 (4) ◽  
pp. 59-62
Author(s):  
V.I. Salnikov
Keyword(s):  
Normal Distribution ◽  
Mean Square Error ◽  
Gaussian Distribution ◽  
Measurement Errors ◽  
Theory And Practice ◽  
Mean Square ◽  
The Mean ◽  
Limiting Values ◽  
Limiting Value

The question of calculating the limiting values of residuals in geodesic constructions is considered in the case when the limiting value for measurement errors is assumed equal to 3m, ie ∆рred = 3m, where m is the mean square error of the measurement. Larger errors are rejected. At present, the limiting value for the residual is calculated by the formula 3m√n, where n is the number of measurements. The article draws attention to two contradictions between theory and practice arising from the use of this formula. First, the formula is derived from the classical law of the normal Gaussian distribution, and it is applied to the truncated law of the normal distribution. And, secondly, as shown in [1], when ∆рred = 2m, the sums of errors naturally take the value equal to ?pred, after which the number of errors in the sum starts anew. This article establishes its validity for ∆рred = 3m. A table of comparative values of the tolerances valid and recommended for more stringent ones is given. The article gives a graph of applied and recommended tolerances for ∆рred = 3m.

scholarly journals Electrical stimulator with mechanomyography-based real-time monitoring, muscle fatigue detection, and safety shut-off: a pilot study

2020 ◽  
Vol 65 (4) ◽  
pp. 461-468
Author(s):  
Jannatul Naeem ◽  
Nur Azah Hamzaid ◽  
Amelia Wong Azman ◽  
Manfred Bijak
Keyword(s):  
Muscle Fatigue ◽  
Real Time ◽  
Isometric Force ◽  
Mean Square ◽  
Clear Indication ◽  
Initial Value ◽  
Cord Injury ◽  
The Mean ◽  
Electrical Stimulator ◽  
Fatigue Detection

AbstractFunctional electrical stimulation (FES) has been used to produce force-related activities on the paralyzed muscle among spinal cord injury (SCI) individuals. Early muscle fatigue is an issue in all FES applications. If not properly monitored, overstimulation can occur, which can lead to muscle damage. A real-time mechanomyography (MMG)-based FES system was implemented on the quadriceps muscles of three individuals with SCI to generate an isometric force on both legs. Three threshold drop levels of MMG-root mean square (MMG-RMS) feature (thr50, thr60, and thr70; representing 50%, 60%, and 70% drop from initial MMG-RMS values, respectively) were used to terminate the stimulation session. The mean stimulation time increased when the MMG-RMS drop threshold increased (thr50: 22.7 s, thr60: 25.7 s, and thr70: 27.3 s), indicating longer sessions when lower performance drop was allowed. Moreover, at thr70, the torque dropped below 50% from the initial value in 14 trials, more than at thr50 and thr60. This is a clear indication of muscle fatigue detection using the MMG-RMS value. The stimulation time at thr70 was significantly longer (p = 0.013) than that at thr50. The results demonstrated that a real-time MMG-based FES monitoring system has the potential to prevent the onset of critical muscle fatigue in individuals with SCI in prolonged FES sessions.

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