By 30 July the Greek army was outnumbered by the counter-attacking Bulgarian army, which attempted to encircle the Greeks in a Cannae-type battle, by applying pressure on their flanks.

By applying the chain rule, the last expression becomes:

By twice applying the transformation above from the stationary to the rotating frame, the absolute acceleration of the particle can be written as:

By 1912 and 1913, there are beginning to be many films from many American companies that rely on applying novel decoration to the story, rather than supplying any twists to the drama itself to sustain interest.

By applying voltage to G, one can control I < sub > D </ sub >.

By applying his construction to the sequence of real algebraic numbers, Cantor produces a transcendental number.

By placing the molecules in wells in the gel and applying an electric field, the molecules will move through the matrix at different rates, determined largely by their mass when the charge to mass ratio ( Z ) of all species is uniform, toward the ( negatively charged ) cathode if positively charged or toward the ( positively charged ) anode if negatively charged.

By applying the variational principle to the action

By charging the right amount of water and applying heat, the system can be brought to any point in the gas region of the phase diagram.

By using this arrangement, many common operations can be implemented by uniformly applying the same operation to each pixel independently.

By applying Pontryagin duality, one can see that abelian profinite groups are in duality with locally finite discrete abelian groups.

By darkening areas of texture maps corresponding to corners, joints and recesses, and applying them via self-illumination or diffuse mapping, a radiosity-like effect of patch interaction could be created with a standard scanline renderer ( cf.

By an offshore drilling contractor effectively applying HSE Management in its organization, it can optimize risk to achieve levels of residual risk that are tolerable.

By applying such principles in an obvious way ( using repeated applications of modus ponens ), Holmes is able to infer from his observation that " the sides of Watson's shoes are scored by several parallel cuts " that:

" By this, James meant that truth is a quality, the value of which is confirmed by its effectiveness when applying concepts to practice ( thus, " pragmatic ").

By applying sprezzatura to his speech and everything else he does, the courtier appears to have grazia and impresses his audience, thereby achieving excellence and perfection.

By applying a bias voltage to a " gate " terminal, the channel is " pinched ", so that the electric current is impeded or switched off completely.

By applying his operational calculus to the analysis of this network he discovered ( 1887 ) what has become known as the Heaviside condition.

By repeatedly applying the definition of conditional probability:

By applying a single spatial model on an entire domain, one makes the assumption that is a stationary process.

By applying the inverse Fourier transform, we can write:

By applying Mauss's theory to data such as Mead's, Lévi-Strauss proposed what he called alliance theory.

By its standard practices of applying good scientific methods, mainstream is distinguished from pseudoscience as a demarcation problem and specific types of inquiry are debunked as junk science, cargo cult science and scientific misconduct etc.

By applying conventional cost-estimating techniques, he concluded that it would cost more than a billion US Dollars to develop this distribution by conventional proprietary means.

By that, one feels that magnetic forces are as general as electrical forces.

By the end of the spring of 1961, assuming that a general business recovery gets under way, interest rates should begin to edge upward again, depending upon the vigor of the recovery and the determination with which the monetary authorities move to restrain credit availability.

By the standards of 19th century tycoons, Carnegie was not a particularly ruthless man but a humanitarian with enough acquisitiveness to go in the ruthless pursuit of money ; on the other hand, the contrast between his life and the lives of many of his own workers and of the poor, in general, was stark.

By general agreement, abstract entities cannot

By the early 1990s, the performance of microprocessor-based computers reached the point that real-time generation of computer music using more general programs and algorithms became possible.

By his view, concepts ( and ideas in general ) are innate ideas that were instantiations of a transcendental world of pure forms that lay behind the veil of the physical world.

By contrast, the Europeans never infused it into their general diet, but have compartmentalized its use to sweets and desserts.

By 1827, he had abandoned law and embarked on a geological career that would result in fame and the general acceptance of uniformitarianism, a working out of the idea proposed by James Hutton a few decades earlier.

By statute, the Commandant is appointed as a four-star general while serving in office.

By nature of their general training they can carry out the majority of dental treatments such as restorative ( fillings, crowns, bridges ), prosthetic ( dentures ), endodontic ( root canal ) therapy, periodontal ( gum ) therapy, and exodontia ( extraction of teeth ), as well as performing examinations, radiographs ( x-rays ) and diagnosis.

By early summer 1915, Hilbert's interest in physics had focused on general relativity, and he invited Einstein to Göttingen to deliver a week of lectures on the subject.

By 1951, 87 subroutines in the following categories were available for general use: floating point arithmetic ; arithmetic operations on complex numbers ; checking ; division ; exponentiation ; routines relating to functions ; differential equations ; special functions ; power series ; logarithms ; miscellaneous ; print and layout ; quadrature ; read ( input ); nth root ; trigonometric functions ; counting operations ( simulating repeat until loops, while loops and for loops ); vectors ; and matrices.

By 1909 after the failure of a syndicalist general strike in France, Sorel and his supporters left the radical left and went to the radical right, where they sought to merge militant Catholicism and French patriotism with their views-advocating anti-republican Christian French patriots as ideal revolutionaries.

By keeping very cool relations to NATO, and to western military powers in general, Finland could fend off Soviet preludes for affiliation to the Warsaw Pact.

By 1798, relations with France had deteriorated to the point that war seemed imminent, and on July 4, 1798, President Adams offered Washington a commission as lieutenant general and Commander-in-chief of the armies raised or to be raised for service in a prospective war.

By employing students Telemann took away a major resource for Kuhnau's choir ( and church music in Leipzig in general ); Kuhnau was also concerned that students were too frequently performing in operas, leaving them with less time to devote to church music.

By the 19th century, Romantic critics valued Hamlet for its internal, individual conflict reflecting the strong contemporary emphasis on internal struggles and inner character in general.

By this time the " New " Labour Party was seen as a reformed and fresh alternative under the leadership of Tony Blair, and after eighteen years in office the Conservatives lost the 1997 general election in one of the worst electoral defeats since the Great Reform Act of 1832.

By the mid-15th century the term lollard had come to mean a heretic in general.

By eliminating ρ and J, using Maxwell's equations, and manipulating using the theorems of vector calculus, this form of the equation can be used to derive the Maxwell stress tensor σ, in turn this can be combined with the Poynting vector S to obtain the electromagnetic stress-energy tensor T used in general relativity.

By rationalisation, Weber understood first, the individual cost-benefit calculation, second, the wider, bureaucratic organisation of the organisations and finally, in the more general sense as the opposite of understanding the reality through mystery and magic ( disenchantment ).

By the 1792 general conference of the Methodist Episcopal Church, the controversy relating to episcopal power boiled over.

# Law Courts: By taking some general rule which seemed to be common to all the communities and ignoring the differences, English common law was modeled after such a practice so that the law became common in all the districts of the kingdom.

By purpose, programming languages might be considered general purpose, system programming languages, scripting languages, domain-specific languages, or concurrent / distributed languages ( or a combination of these ).