Thus was invented the single thread sewing machine, which Mr. Gibbs in partnership with Mr. Willcox decided to bring to Brown & Sharpe with the proposal that the small company undertake its manufacture.

Thus, when you have prepared your foundation and laid the floor, these can be trucked to the site and erected with a small crew of friends in a weekend.

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, giving grades and promotions based only on an individual's performance relative to a small local group, as is common, may reduce cooperative behaviors in the group.

Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Thus, what might be " readily achievable " for a sophisticated and financially capable corporation might not be readily achievable for a small or local business.

Thus, the designers of ATM utilized small data cells to reduce jitter ( delay variance, in this case ) in the multiplexing of data streams.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus, small minority parties cannot easily enter the Bundestag and prevent the formation of stable majority governments as they could under the Weimar constitution.

In particular, one should think of the condition number as being ( very roughly ) the rate at which the solution, x, will change with respect to a change in b. Thus, if the condition number is large, even a small error in b may cause a large error in x.

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

Thus the era was indeed a golden age but only for a small but powerful and highly visible elite.

Thus, the change in slope between each successive point is small, reducing the apparent " jaggedness " of the approximation.

Thus many known exoplanets are " hot Jupiters ": planets of Jovian mass or larger in very small orbits with periods of only a few days.

Thus Engset's equation should be used when the source population is small ( say less than 200 users, extensions or customers ).

Thus, all three models for paramagnetic Hb-O < sub > 2 </ sub > may contribute to some small degree ( by resonance ) to the actual electronic configuration of Hb-O < sub > 2 </ sub >.

Thus, in place of one unchallenged military commander, the province now had five officers, each with command of only a small fraction of the garrison.

Thus, actual address space utilization rates will be small in IPv6, but network management and routing efficiency is improved by the large subnet space and hierarchical route aggregation.

Thus Gutenberg was effectively bankrupt, but it appears he retained ( or re-started ) a small printing shop, and participated in the printing of a Bible in the town of Bamberg around 1459, for which he seems at least to have supplied the type.

( Thus, they are called " macros " because a big block of code can be expanded from a small sequence of characters ).

Thus, while the probability might be extremely small that any particular universe would have the requisite conditions for life ( as we understand life ) to emerge and evolve, this does not require intelligent design per the teleological argument as the only explanation for the conditions in the Universe that promote our existence in it.

Thus, the service appears to aim to serve as an exchange ( or ad network ) for matching many advertisers with many small sites ( such as blogs ).

Thus, concentrated solutions of polymers are far rarer than those of small molecules.

Thus, Congo is one of the most urbanized countries in Africa, with 85 % of its total population living in a few urban areas, namely in Brazzaville, Pointe-Noire, or one of the small cities or villages lining the 332-mile railway which connects the two cities.

Thus a conservative classification of Sino-Tibetan / Tibeto-Burman would posit several dozen small coordinate families and isolates ; attempts at subgrouping are either geographic conveniences or hypotheses for further research.

Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.

Thus, one signalling molecule can cause many responses.

Thus, the molecules are " held in " the liquid more strongly when a second molecule is present.

Thus, each gas molecule occupies the same mean volume in all ideal gases, regardless of the type of gas ( see kinetic theory ).

Thus an atom is of a lower standing in the hierarchy than a molecule, because if you removed all molecules, atoms could still exist, whereas if you removed all atoms, molecules, in a strict sense would cease to exist.

Thus, each π MO is delocalized over the whole benzene molecule and any electron occupying an MO will be delocalized over the whole molecule.

Thus, an mRNA that contains a riboswitch is directly involved in regulating its own activity, in response to the concentrations of its target molecule.

Lord Kelvin, " One Heck of a Prognosticator, president of the Royal Society in the 1890s, and disbeliever in virtually every scientific discovery ," claimed that “ Radio has no future ,” “ I have not the smallest molecule of faith in aerial navigation other than ballooning ,” and “ X-rays will prove to be a hoax ;” Orville Wright, in 1908 claimed that “ No flying machine will ever fly from New York to Paris ;” and Irving Thalberg, MGM movie producer, asserted in 1927 that “ Novelty is always welcome, but talking pictures are just a fad .” Thus, making forecasts of the future has a historic basis in which many of the predictions by even experts have proven inaccurate.

Thus, when indicating the direction of movement of an enzyme along a string of DNA, biologists will say that it moves from the 5 ′ end to the 3 ′ end, because these carbons are hanging from the ends of the molecule.

Thus, despite being designated the number 2 interleukin, it was the first interleukin molecule, receptor, and gene to be discovered.

Thus a series of labeled fragments is generated, from the radiolabeled end to the first " cut " site in each molecule.

Thus, whereas KSHV genome is circular in the nucleus of latently infected cells, it is packaged into infectious viruses as a linear molecule.

Thus, in a centrosymmetric molecule, asymmetrical stretching and bending will be IR active and Raman inactive, while symmetrical stretching and bending will be Raman active and IR inactive.

Thus the molecule is named either pentan-2-one or pentan-3-one, depending on the position of the oxygen atom.

Thus, a polymer is a huge molecule ( or macromolecule ) formed from hundreds or thousands of units called monomers.

Thus they allow access to nanoscale objects using a bottom-up approach in far fewer steps than a single molecule of similar dimensions.

Thus, by enforcing the symmetry of the molecule, the degeneracy lifting effect caused by inter-state couplings is prevented.