In my field, humanities, that critical mass argument doesn't hold up at all".
We estimate the higher variations and use a center of mass argument to complete the proof.
The final tapered fiber will then consist of three regions, the initial unstreched fiber, the taper transition, and the taper waist, all of which are detailed in Figure 2. From a conservation of mass argument, it can be shown that for a constant hot-zone of length L, which is produced in the case of a stationary flame, the taper transition is exponential [47].
If the values for Rg/d determined separately from the dust measurements and observations of the gas (combined with the missing-mass argument) do not agree, it would indicate that the grains and gas are from different reservoirs, which is to say a decoupling of gas and dust leading to a local dust enhancement.
I, along with millions of others around the world, knew from the beginning that the weapons of mass destruction argument was bogus and that the invasion of Iraq would become exactly what it is.
Similarly, in the chapter about "Richard III," centered on the elusiveness of "fact," Garber provides a long list of recent examples of "the temptations to rewrite history": the weapons of mass destruction argument for waging war on Iraq, the Jessica Lynch and Pat Tillman stories, and (yawn) even James Frey.
(Arguments against MEM can be found in the supplement Challenges to Mereological Essentialism for Masses and arguments against UFM in section 3.2).
The expected geoneutrino signal from the mantle is essentially model dependent, and it is estimated according to a mass balance argument.
And in fact the strategy used in [67] is completely different from the one we have seen in the last section, since it relies on an optimal mass transportation argument and on the proof of a very general trace inequality.
Another interesting feature is the use of some ideas from the mass transportation argument of Gromov's proof of the isoperimetric inequality, to which we will come back in the next section.
