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

By varying the proportions of copper and zinc, the properties of the brass can be changed, allowing hard and soft brasses.

By varying ability scores, the same system is used for a human hero as a trollish villain.

By varying the air pressure, a flute player can also change the pitch of a note by causing the air in the flute to resonate at a harmonic other than the fundamental frequency without opening or closing any holes.

By varying the snap count, a quarterback forces the defensive players to react to the movement of the offensive players, or risk being called for an offsides or encroachment penalty.

By varying the number of particles added for heterogeneous nucleation and the rate of cooling in a hot-dip process, the spangle can be adjusted from an apparently uniform surface ( crystallites too small to see with the naked eye ) to grains several centimetres wide.

By controlling the voltage applied across the liquid crystal layer in each pixel, light can be allowed to pass through in varying amounts thus constituting different levels of gray.

By varying the parameter r, the following behavior is observed:

By varying the ratio of graphite to clay, the hardness of the graphite rod could also be varied.

By integrating varying delivery streams, hybrids enable pay-TV operators more flexible application deployment, which decreases the cost of launching new services, increases speed to market, and limits disruption for consumers.

By varying the magnetic sail's field strength over the course of its orbit, a magnetic sail can give itself a " perigee kick " raising the altitude of its orbit's apogee.

By adding frame numbers to the frame sync, it is possible to extend the length of the random sequence, by varying the random sequence in accordance with the frame number.

By varying the gun ’ s angle of elevation with respect to the target vacuum chamber, impact angles from 0 ° to 90 ° relative to the gravitational vector are possible.

By extension, the term ' waveform ' also describes the shape of the graph of any varying quantity against time.

By 1835 all six daughters had died of varying causes, two when very young, two as children, the other two as young women: from whooping cough, yellow fever, and complications of childbirth.

By varying the monochromator's wavelength setting, the full spectrum can be measured.

By varying the extent and path of motion, a variety of effects can be obtained, with variable depth of field and different degrees of blurring of " out of plane " structures.

By varying the proportions of the juices, every shade from pink to black can be obtained.

By varying the amount of cream returned, producers can make a variety of low-fat milks to suit their local market.

By varying the pulse rate per LED, the display can approximate levels of brightness.

By varying the-Si-O-chain lengths, side groups, and crosslinking, silicones can be synthesized with a wide variety of properties and compositions.

By varying the angle of incidence and take-off on the crystal, a single X-ray wavelength can be selected.

By layering the highest quality crystals of varying compositions, it enabled the demonstration of the highest quality heterojunction semiconductor laser materials for many years.

By repeatedly sampling the randomly varying signal, a series of random numbers is obtained.

By varying the degree of smoothing, mid-tones between black and white can be created, hence the name mezzo-tinto which is Italian for " half-tone " or " half-painted ".

By its terms the boundary between Alfred ’ s and Guthrum ’ s kingdoms was to run up the River Thames, to the River Lea ; follow the Lea to its source ( near Luton ); from there extend in a straight line to Bedford ; and from Bedford follow the River Ouse to Watling Street.

By 16: 00, with the enemy troops besieged in Blenheim and Oberglau, the Allied centre of 81 squadrons ( nine squadrons had been transferred from Cutts ' column ), supported by 18 battalions was firmly planted amidst the French line of 64 squadrons and nine battalions of raw recruits.

By the end of his sole rule ( AD 14 ), Augustus had expanded the empire to the line of the Danube river, which was to remain its central / eastern European border for its entire history ( except for the occupation of Dacia 105-275 ).

By 16: 00, Alexander and Swiftsure were also in sight, although some distance from the main British fleet, and Brueys gave orders to abandon the plan to remain at anchor and instead for his line to set sails, although Blanquet protested the order on the grounds that there were not enough men aboard the French ships to both sail the ships and man the guns.

By 18: 00, the British fleet was again under full sail, Vanguard sixth in the line of ten ships as Culloden trailed behind to the north, and Alexander and Swiftsure hastened to catch up to the west.

By his own admission, Hubbard made what he considered was one of the greatest mistakes of his life when he used the biological definition of engram as a " trace on a cell ", which was not in line with the proper biological definition.

By 1935, the company had established a true production line, following the example of Ford, and were producing a car closely resembling the Austin 7.

" By placing the monosyllable mons at the end of the line, Virgil interrupts the usual " shave and a haircut " pattern to produce a jarring rhythm, an effect that echoes the crash of a large wave against the side of a ship.

By 2003 the line had been restored from Massawa all the way through to Asmara.

By the phenomenalistic line of thinking, to have a visual experience of a real physical thing is to have an experience of a certain kind of group of experiences.

" By June 1947, the Central Committee of Yugoslavia began publicly condemning Hoxha, accusing him of talking an individualistic and anti-Marxist line.

By 4 July, the Australian 9th Division had entered the line in the north, and on 9 July Indian 5th Infantry Brigade also returned taking over the Ruweisat position.

* 1502 10 July – By a Royal Warrant passed in Toledo by Isabella I of Castile, Gibraltar was granted its coat of arms: " An escutcheon on which the upper two thirds shall be a white field and on the said field set a red castle, and below the said castle, on the other third of the escutcheon, which must be a red field in which there must be a white line between the castle and the said red field, there shall be a golden key which hangs by a chain from the said castle, as are here figured ".

By the baroque period, in Italy and Spain, more strings were added to allow for chromatic notes ; these were usually in a second line of strings.

By looking at the place where the sun shadow from the rod falls on a carved curve, a navigator is able to sail along a line of latitude.

By excluding the Bavarian line of Ottonians from the line of succession, Otto's son and successor Otto II, Holy Roman Emperor strengthened Imperial authority and secured his own son's succession to the Imperial throne.

By the time of the First World War, the mass advertising and popularity of the Victor Talking Machine Company's Victrolas ( a line of disc-playing machines characterized by their concealed horns ) was leading to widespread generic use of the word " victrola " for any machine that played discs, which were however still called " phonograph records " or simply " records ", almost never " victrola records ".

By June 2012, a hundred-foot-tall reinforced concrete monolith had been completed, the first of 46 such monoliths which will line the new Pacific-side lock walls.

By 1994, sales of CD-i systems had begun to slow, and in 1998 the product line was dropped.

By definition, real analysis focuses on the real numbers, often including positive and negative infinity to form the extended real line.

By analogy, a similar graph depicting the progress of a string as time passes by can be obtained ; the string ( a one-dimensional object — a small line — by itself ) will trace out a surface ( a two-dimensional manifold ), known as the worldsheet.

By dividing the difference in y-coordinates by the difference in x-coordinates, one can obtain the slope of the line:

By moving the two points closer together so that Δy and Δx decrease, the secant line more closely approximates a tangent line to the curve, and as such the slope of the secant approaches that of the tangent.