By virtue of his self-reliance, his individualism and his freedom from external restraint, the private eye is a perfect embodiment of the middle class conception of liberty, which amounts to doing what you please and let the devil take the hindmost.

By the time Lilian had been graduated from public school, her parents were doing quite well.

By leaving me everything he wouldn't be doing me a favor, my father told him, and he didn't want to see his daughter involved in a lawsuit.

By political, economic, geographic and natural standards, they were justified in doing so.

By doing so, it links the holy past to the historical present and represents Alfred's law-giving as a type of divine legislation.

By doing this, Khrushchev was acknowledging a long forgotten fact ; the Presidium, the Secretariat and he himself were responsible to the Central Committee.

By doing this, he practically signaled his support for Gorbachev's ascension to the General Secretaryship.

By the age of seven, Plato began doing television commercials, reportedly appearing in over 100 spots for companies as diverse as Kentucky Fried Chicken, Dole, and Atlantic Richfield.

By doing so, they " fill the need of a mostly female audience for fictional narratives that expand the boundary of the official source products offered on the television and movie screen.

By doing so Copleston makes clear that Aquinas wanted to put forth the concept of an omnipresent God rather than a being that could have disappeared after setting the chain of cause and effect into motion.

By doing so he and the German dukes gained time to fortify towns and train a new elite cavalry force.

By 1840, to protect the interests of the various nationals doing business in Zanzibar, consul offices had been opened by the British, French, Germans and Americans.

By doing so, the multi-billion dollar development cost of a new launch vehicle is avoided.

By doing this, Orange Alternative participants could not be arrested by the police for opposition to the regime without the authorities becoming a laughing stock.

By doing so, it reduces nitrogen losses by volatilization, accelerates mineralization and increases short-term nitrogen availability for transformation of organic matter into humus.

By doing so the victorious Spartans proved to be the most clement state that fought Athens and at the same time they turned out to be its saviour as neither Corinth nor Thebes at the time could challenge their decision.

By doing so, the plaintiff seeks a legal remedy, and if successful, the court will issue judgment in favor of the plaintiff and make the appropriate court order ( e. g., an order for damages ).

By doing so, the following statements become true:

By doing this he wishes to establish within the younger members of his community a scheme to discern right and wrong actions through the powers of the mind.

By establishing a pattern, sometimes with the use of a powerful computer, mathematicians may have an idea of what to prove, and in some cases even a plan for how to set about doing the proof.

By so doing, he claimed descent from the Minamoto clan.

By selling vast quantities of shrimp and catfish to the U. S., Vietnam triggered antidumping complaints by the U. S., which imposed tariffs in the case of catfish and was considering doing the same for shrimp.

By doing so, the king attempted to preempt any dispute after his death and legitimize his line on the throne of Georgia.

By forced division of labor Durkheim means a situation where power holders, driven by their desire for profit ( greed ), results in people doing the work they are unsuited for.

By varying the formula, this curve may be moved forward or backward along the coordinates to produce any desired compression strength / density ratio.

By the continuous formula,

By using the formula

By using logarithmic identities to transform the formula, the multiplications can be expressed as a sum and the power as a multiplication.

By sorting formulas according to the number of atoms of each element present in the formula according to these rules, with differences in earlier elements or numbers being treated as more significant than differences in any later element or number — like sorting text strings into lexicographical order — it is possible to collate chemical formulas into what is known as Hill system order.

By degrees, however, Justinian came to understand that the formula at issue not only appeared orthodox, but might also serve as a conciliatory measure toward the Monophysites, and he made a vain attempt to do this in the religious conference with the followers of Severus of Antioch, in 533.

By the end of the 5th dynasty, the formula in all tombs becomes " An offering the king gives and Osiris ".

By most accounts, Coca-Cola was India's leading soft drink until 1977 when it left India after a new government ordered The Coca-Cola Company to turn over its secret formula for Coke and dilute its stake in its Indian unit as required by the Foreign Exchange Regulation Act ( FERA ).

By contrast, ext2 and other Berkeley FFS-like file systems of that time simply used a fixed formula for computing inode locations, hence limiting the number of files they may contain.

By the same formula we can find the geostationary-type orbit of an object in relation to Mars ( this type of orbit above is referred to as an areostationary orbit if it is above Mars ).

The canonical model is a model of L, as every L-MCS contains all theorems of L. By Zorn's lemma, each L-consistent set is contained in an L-MCS, in particular every formula unprovable in L has a counterexample in the canonical model.

By comparison, prediction in frequentist statistics often involves finding an optimum point estimate of the parameter ( s ) — e. g. by maximum likelihood or maximum a posteriori estimation ( MAP ) — and then plugging this estimate into the formula for the distribution of a data point.

By using this formula as distance, Euclidean space ( or even any inner product space ) becomes a metric space.

By the time of Diocletian, however, this two-stage process had largely disappeared, and the Praetor would either hear the whole case in person or appoint a delegate ( a iudex pedaneus ), taking steps for the enforcement of the decision ; the formula was replaced by an informal system of pleadings.

By convention, the formula is always true, regardless of the formula P ( x ); see vacuous truth.

By mid-century, Robert Wallace acquired the formula for nickel silver and established with Samuel Simpson, R. Wallace & Company the forerunner of Wallace Silversmiths.

By repeated applications of the half-angle formula

By Euler's formula the number of faces (' F '), vertices ( V ), and edges ( E ) of any convex polyhedron are related by the formula " F + V-E "

By Heron's formula, the area of the triangle is

By choosing a = 0, this formula gives both an integral and a series representation for a function that interpolates the harmonic numbers and extends a definition to the complex plane.

By substituting this formula for current into one or both factors of current in Joule's law, the power dissipated can be written in the equivalent forms:

By inserting different prices into the formula, you will obtain a number of break even points, one for each possible price charged.