Thus 4, 000, 000, which has a logarithm ( in base 10 ) of 6. 602, has 7 as its nearest order of magnitude, because " nearest " implies rounding rather than truncation.

Thus force is a vector quantity, because its effect depends on the direction as well as on the magnitude of the action.

Thus two arrows and in space represent the same free vector if they have the same magnitude and direction: that is, they are equivalent if the quadrilateral ABB ′ A ′ is a parallelogram.

Thus, F (− q ) has the same magnitude as F ( q ) but they have the opposite phase, i. e., φ ( q ) = − φ ( q )

Thus, the efficiency of the process may be increased by many orders of magnitude.

Thus to find the median, order the list according to its elements ' magnitude and then repeatedly remove the pair consisting of the highest and lowest values until either one or two values are left.

Thus, the magnitude of the angular velocity vector at a given time t is consistent with the two dimensions case.

Thus at any place where there is a zero or pole involving the term, the magnitude of that term is.

Thus one will expect to be within 1 / 8 to 8 times the correct value – within an order of magnitude, and much less than the worst case of erring by a factor of ( about 2. 7 orders of magnitude ).

Thus, the magnitude of weight change from loss of air during a dive varies from roughly 4. 3 kg ( 9. 5 lbs ) representing the total air content of a steel 15 litre cylinder at 230 bar / 3500 psi ( in practice, reserve requirements dictate that only about 8 lbs of this will be breathed ), to about 5 lbs difference for the smaller 80 ft < sup > 3 </ sup > aluminum-80 ( AL80 ) tank ( 11. 1 litres internal capacity ) pressurised to 200 bar / 3000 psi, and again assuming that only 5 / 6ths of the air in the tank is used, leaving a typical safety reserve.

Thus, sympathetic responses are often conditional on or their magnitude is determined by the causes of the emotion in the person being sympathized with.

Thus, the pressure on a fluid at rest is isotropic ; i. e., it acts with equal magnitude in all directions.

Thus if an object has apparent magnitude at distance from the observer, then all other things being equal, it will have magnitude at distance.

Thus the order of magnitude for the spin-orbital coupling is.

Thus, for medium-sized earthquakes, the moment magnitude values should be similar to Richter values.

From equation ( 2 ) it follows, since T always has unit magnitude, that N is always perpendicular to T. From equation ( 3 ) it follows that B is always perpendicular to both T and N. Thus, the three unit vectors T, N, and B are all perpendicular to each other.

Thus, magnitude does depend on the extent of the entity or system in the case of extensive quantity.

Thus, if one is at a site where the naked eye limiting magnitude is 5, the telescope will allow one to see stars as faint as about magnitude 13.

Thus those of the 1st magnitude are brighter than those of the 2nd.

) Thus, v is a constant, and the velocity vector v also rotates with constant magnitude v, at the same angular rate ω.

Thus, the magnitude of the kinetic isotope effect can be used to elucidate the reaction mechanism.

Thus, multiplying by 2 is calculated in base-2 by an arithmetic shift.

Thus the ruler of North Central Afghanistan decided to shift the capital of the city of Mazar-e-Sharif.

Thus, it could be argued that it caused or was itself part of a " paradigm shift " in the history and sociology of science.

Thus, if a " 1 " is represented by one transition, then a " 0 " is represented by two transitions and vice versa, making Differential Manchester a form of frequency shift keying.

Thus, a major shift in focus, from concern for the individual ’ s moral behavior to concern for the individuals theological practices, occurred with the post-Reformation morality plays.

Thus, an LFSR is most often a shift register whose input bit is driven by the exclusive-or ( XOR ) of some bits of the overall shift register value.

Thus, some scholars speculate, Godiva might have actually travelled through town as a penitent, in her shift.

Thus, it could be argued that it caused or was itself part of a " paradigm shift " in the history and sociology of science.

Thus, professional identities have become hyphenated or hybridized to reflect this shift in work ethic.

Thus, the two instruments gradually shift out of unison, creating first a slight echo as one instrument plays a little behind the other, then a doubling with each note heard twice, then a complex ringing effect, and eventually coming back through doubling and echo into unison.

Thus, the shift away from GSE securitization to private-label securitization ( PLS ) also corresponded with a shift in mortgage product type, from traditional, amortizing, fixed-rate mortgages ( FRM's ) to nontraditional, structurally riskier, nonamortizing, adjustable-rate mortgages ( ARM's ), and in the start of a sharp deterioration in mortgage underwriting standards.

Thus there is no transverse Doppler shift, and the lower frequency of the moving source can be attributed to the time dilation effect alone.

Thus it is further explained that since the shift to democracy brought an end to the previous absolutism, this meant there was a chance the head of state wasn't just not in full power but not in power at all ; and so the President of the Galaxy became an extreme figurehead ; a celebrity, but someone who could reasonably be in power.

Thus, the CDBG program represents a significant shift in how the federal government addresses poverty and blight.

Thus the polarization undergoes parallel transport and the phase shift is given by the enclosed solid angle ( times the spin, which in case of light is 1 ).

Thus came a shift to what was to be the character of the Yard for more than a century: ordnance and technology.

Thus, Basel German didn't complete the second Germanic sound shift ( High German consonant shift ).

bar: 2012 from: 0 till: 21 color: current width: 20 shift :(- 21, 20 ) text: Thus far

Thus, a vacuum with ⟨ θ ⟩= 0 will shift to a different vacuum with ⟨ θ ⟩=− ε.

Thus, there is no in words like park ( with vowel backed and rounded due to the low-back chain shift ), butter, or here.

Thus, it is a special case of a phase shift gate ( next ) with θ = π.