Thus while Athens was increasing her navy with the funds they contributed, a revolt always found itself without enough resources or experienced leaders for war.

Thus for a limit ordinal, there exists a δ-indexed strictly increasing sequence with limit α.

Thus enhanced electrotonic coupling results in lower tonic activity of the coupled cells while increasing rhythmicity.

Thus biography can form one part of the larger study of the cultural significance, underlying program, or agenda of a work ; a study which gained increasing importance in the 1980s and early 1990s.

Thus increasing and promoting commercial bank's interest in the Internet and conducting business over the Internet is necessary in order to further the development of ecash and commerce in the Internet, as well as improving cryptography and security features of the systems.

Thus, faced with the increasing lack of democracy in the Soviet Union, they concluded that it was no longer a socialist workers ' state, but a degenerated workers ' state.

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 the law sought to solve the twin problems of increasing the number of men eligible for military service ( thereby boosting Rome's military strength ) and also providing for homeless war veterans.

Thus, he argues that important progress with respect to the goal of increasing meat production and consumption was obtained through the socialist agricultural system even if the plan officially " failed ".

Thus, increasing living standards for the public.

Thus stimulated, the increasing disaffection culminated in the 1798 rebellion.

Thus, the attempt to maintain a given surface temperature in an environment of faster heat loss results in both the perception of lower temperatures and an actual greater heat loss increasing the risk of adverse effects such as frostbite, hypothermia, and death.

Thus, for instance, westerlies might be a good waveguide for eastward-traveling waves, but might strongly dissipate westward-traveling waves, by increasing or decreasing their vertical wavenumber, respectively.

Thus channel capacity increases linearly by increasing the channel's bandwidth to the maximum value available, or ( in a fixed-channel bandwidth ) by increasing the signal power exponentially.

Thus, any loss of accuracy could be made up by carrying more bombs, increasing the chance that one would hit.

Thus, in the frontier districts, a large and increasing class of people dwelt in a sort of political limbo, having lost their Danish citizenship through ceasing to be domiciled in Denmark, and unable to acquire Prussian citizenship because they had failed to apply for it within the six years stipulated in the Treaty of 1864.

Thus, the grid had become the main driver of remote customers ’ power costs and power quality problems, which became more acute as digital equipment required extremely reliable electricity., Efficiency gains no longer come from increasing generating capacity, but from smaller units located closer to sites of demand.,

Thus, as the number of energy states increases, the energy of the system will be spread among more and more states, thereby increasing the entropy of the system.

Thus, crowding out is a problem only when the economy is already close to full employment ( say, at about 4 % unemployment ) and the scope for increasing income and saving is blocked by resource constraints ( potential output ).

Thus for a given characteristic strength of gravity, the amount of drag for a given speed u can be made arbitrarily small by increasing the speed v of the ultramundane corpuscles.

Thus, it was argued that busing ( as opposed to simply increasing funding to segregated schools ) was necessary for achieving racial equality.

Thus, the crepuscular habit may both reduce predation pressure, thereby increasing the crepuscular populations, and in consequence offer better foraging opportunities to predators that increasingly focus their attention on crepuscular prey until a new balance is struck.

Thus year 1922 closed for Greece in the most inauspicious circumstances with the question of a peace settlement which should enable the country to devote its forces to peaceful reconstruction still in abeyance, and internal dissatisfaction and unrest steadily increasing.

Thus, a reduction in photorespiration by genetic engineering or because of increasing atmospheric carbon dioxide due to fossil fuel burning may not benefit plants as has been proposed.

Thus, an analog signal is one represented by a continuous stream of data, in this case along an electrical circuit in the form of voltage, current or charge changes ( compare with digital signals below ).

Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.

Thus a small voltage on the grid can be made to control a much larger voltage on the anode.

Thus in saturation mode, the FET behaves as a constant-current source rather than as a resistor and can be used most effectively as a voltage amplifier.

Thus the stopping voltage increases.

Thus, the resolution of a gel decreases with increased voltage.

Thus, a few volts ' difference at the grid would make a large change in the plate current and could lead to a much larger voltage change at the plate ; the result was voltage and power amplification.

Thus it doesn't make sense to talk about the noise temperature of a capacitor or of a voltage source.

Thus can be estimated as the function of ( flux to voltage converter ) as follows:

Thus, the maximum duration of discharge is equal to the duration of a pulse of voltage in the train.

) Thus the " saturation " voltage of a Darlington transistor is one V < sub > BE </ sub > ( about 0. 65 V in silicon ) higher than a single transistor saturation voltage, which is typically 0. 1-0. 2 V in silicon.

Thus the change of load current and voltage is reduced relative to what would occur without the capacitor.

Thus mud opposite shale sections maintains its voltage difference with the surrounding rock.

Thus, the output voltage is brought back up to its original value.

Thus, the capacitance is inversely proportional to the square root of applied voltage.

Thus the output of an inexpensive car audio amplifier is limited by the voltage of the alternator.

Thus, the voltage at the first node of Ranvier extends spatially to the next node of Ranvier.

Thus one could choose to define all voltage differences relative to some other standard, rather than the Earth, resulting in the addition of a constant offset.

Thus, the voltage across the capacitor tends towards V as time passes, while the voltage across the resistor tends towards 0, as shown in the figures.

Thus, in going from to, the voltage will have moved about 63. 2 % of the way from its level at toward its final value.

Thus the input voltage approximately equals the voltage across the resistor.