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Thus the noise temperature is proportional to the power spectral density of the noise,.
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Thus and noise
Thus the court held that practices such as sleep deprivation, subjecting individual to intense noise and requiring them to stand against a wall with their limbs outstretched for extended periods of time, did not constitute torture.
Thus it doesn't make sense to talk about the noise temperature of a capacitor or of a voltage source.
Thus the figure of merit of a communications system is not the noise level at the speaker of a radio, for instance, since that depends on the setting of the receiver's gain.
Thus shot noise is more frequently observed with small currents or light intensities following sufficient amplification.
Thus when N is very large, the signal-to-noise ratio is very large as well, and any relative fluctuations in N due to other sources are more likely to dominate over shot noise.
Thus as this portion of the signal decreases in amplitude, the higher frequencies are progressively more sharply attenuated, which also filters out the constant background noise on the tape when and where it would be most noticeable.
Thus, on an additive white Gaussian noise ( AWGN ) channel without interference, a spread system requires the same transmitter power as an unspread system, all other things being equal.
Thus, when testing an analogue tape machine it is necessary to test for wow and flutter and tape speed variations over longer periods, as well as for distortion and noise.
Thus TUND represents a sequence made up of four segments which test the alignment level, frequency response, noise and distortion in less than a minute, with many other tests, such as Wow and flutter, Headroom, and Crosstalk also available in segments as well as a whole.
Thus the interfering currents are canceled out, so twin lead does not tend to pick up radio noise.
Thus they are aware of each other's actions and intentions, and do not hear any noise from the ones who are not speaking.
Thus a high-cut or hiss filter may be used to remove annoying white noise at the expense of the crispness of the program material.
Thus color-indicating information in the sensor's raw data requires " aggressive " matrixing ( essentially, removal of common-mode signals ) to produce color data in a standard color space, which can increase color noise in low-light situations.
Thus it is more challenging to design a preamplifier with the extremely low noise inputs needed for moving-coil cartridge, therefore a " step up transformer " is sometimes used instead.
Thus, as a bar might fall on the neck of a sleeping person, causing them to wake up and for a long dream to end with the guillotine blade falling on them, the noise of the bee here provokes the sensation of the sting which will awaken Gala.
Thus, recent studio recordings were edited to isolate and emphasize these sounds, creating an intricate web of pure noise.
Thus, a plot of signal-to-noise ratio as a function of noise intensity shows a '∩' shape.
Thus the noise will be removed completely.
Thus an atmospheric white noise generates SST anomalies at much longer timescales but without spectral peaks.
Thus, connected equipment was provided with a precise 117V, 60 Hz power signal ( in the USA, other countries had units for their specific voltage and frequency ) lacking noise from the utility company.
Thus, for easier detection and to satisfy the low noise requirement, resistance should be low.
Thus and temperature
Thus, the dotted line shown in figure 4 was taken as typical for the temperature distribution for all blowing rates.
Thus, a well-planned adobe wall of the appropriate thickness is very effective at controlling inside temperature through the wide daily fluctuations typical of desert climates, a factor which has contributed to its longevity as a building material.
Thus, when the fluid finally does strike the object, it is forced to change its properties -- temperature, density, pressure, and Mach number -- in an extremely violent and irreversible fashion called a shock wave.
Thus, unlike metals, semiconductors become better conductors the higher the temperature.
Thus if the universe is hot enough ( approximately 10 < sup > 15 </ sup > K, a temperature exceeded until shortly after the Big Bang ) then the electromagnetic force and weak force will merge into a combined electroweak force.
Thus, a too high or too low temperature will result in stellar instability.
Thus an igneous or metamorphic rock or melt, which is slowly cooling, does not begin to exhibit measurable radioactive decay until it cools below the closure temperature.
Thus, changes in the average coolant temperature, notably from the steam demand of engine throttles, naturally maintains reactor power without intervention from a reactor operator.
While this equation suggests that the activation energy is dependent on temperature, in regimes in which the Arrhenius equation is valid this is cancelled by the temperature dependence of k. Thus, E < sub > a </ sub > can be evaluated from the reaction rate coefficient at any temperature ( within the validity of the Arrhenius equation ).
Thus, in traditional use, the term “ free ” was attached to Gibbs free energy, i. e., for systems at constant pressure and temperature, or to Helmholtz free energy, i. e., for systems at constant volume and temperature, to mean ‘ available in the form of useful work .’ With reference to the Gibbs free energy, we add the qualification that it is the energy free for non-volume work.
Thus, Creo Ignem spells create fire ( or light, or warmth ); a Perdo Ignem spell may quench a fire, create darkness, or drop the temperature in a room.
As an example, Hegel mentions the states of aggregation of water: " Thus the temperature of water is, in the first place, a point of no consequence in respect of its liquidity: still with the increase or diminution of the temperature of the liquid water, there comes a point where this state of cohesion suffers a qualitative change, and the water is converted into steam or ice ".
Thus, temperature dependence of λ < sub > L </ sub > is determined by the specific heat and is therefore proportional to T < sup > 3 </ sup >.
Thus, it states that the product of pressure and volume is a constant for a given mass of confined gas as long as the temperature is constant.
Thus, as with all heat pumps, the Coefficient of Performance ( amount of thermal energy moved per unit of input work required ) decreases with increasing temperature difference.
Thus when there is a wide temperature differential between the hot and cold reservoirs, the COP is lower ( worse ).
Thus, all partial derivatives of temperature with respect to space may either be zero or have nonzero values, but all derivatives of temperature at any point with respect to time are uniformly zero.
Thus, for a plant to survive in this environment, it must tolerate broad ranges of salinity, temperature, and moisture, as well as a number of other key environmental factors.
Thus and is
Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.
Thus jazz is transmuted into something holy, the sacred road to integration of being.
Thus the fictional detective is much more than a simple businessman.
Thus the cocktail party would appear to be the ideal system, but there is one weakness.
Thus in both types attention is focused on the community itself, and its phenomenological life.
Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.
Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.
Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.
Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.
Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.
Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.
Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.
Thus there is a clearer division of authority, administrative and legislative.
Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.
Thus, the need for the B-70 as a strategic weapon system is doubtful.
Thus technical efficiency is achieved at the expense of actual experience.
Thus, there is an added incentive to stay on the job.
Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.
Thus T is not diagonalizable.
Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.
Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.
Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.
Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.
Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.
Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.
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