Using Minkowski's spacetime formalism, Laue went on to demonstrate that the world lines of the inertially moving bodies maximize the proper time elapsed between two events.

Using the concept of the impossibility of a gambling system, von Mises defined an infinite sequence of zeros and ones as random if it is not biased by having the frequency stability property i. e. the frequency of zeros goes to 1 / 2 and every sub-sequence we can select from it by a " proper " method of selection is also not biased.

Using comparative analysis of all the material available to him, Vollaerts was able to show the internal logic and coherence in the neumatic notation with regard to a proper articulation of the verbal-melodic line.

Using the 15-province system and the name of Kiang-nan Province indicates that the concept of China proper probably had appeared between 1645 and 1662 and this concept may reflect the idea that identifies China as the territory of the former Ming Dynasty after the Manchu conquest of Ming.

Using the proper subset of hardware description language, a program called a synthesizer ( or synthesis tool ) can infer hardware logic operations from the language statements and produce an equivalent netlist of generic hardware primitives to implement the specified behaviour.

Using GDI, it is very easy to draw on multiple devices, such as a screen and a printer, and expect proper reproduction in each case.

Using tensor calculus, proper time is more rigorously defined in general relativity as follows: Given a spacetime which is a pseudo-Riemannian manifold mapped with a coordinate system and equipped with a corresponding metric tensor, the proper time experienced in moving between two events along a timelike path P is given by the line integral

Using his authority as Chief Scientific Adviser at the MOD he decided that the subject should not be dismissed without some proper, official investigation.

Using proper body movements when performing activities helps reduce strain on joints and thereby decrease pain and stiffness.

Using the results, as part of a proper examination or test protocol, practitioners screen for toxic exposure and heavy metal poisoning.

Using a variety of mechanical or electrical systems, the output of the selsyns could be read to ensure proper movement had occurred ( in other words, forming a closed-loop control system ).

Using split shots or other forms of weights, fishermen could easily zero into their fishing lures ' depth while running at the proper speed.

# Using proper technique to strike with greater force: As in other martial arts, students learn specific body mechanics with the intent to produce a more powerful strike.

Using proper posture of the mandible could guide the jaws to grow their proper form.

Using proper care, the server could be very secure.

Using the prevalent definition, " city proper " is not limited to a city, it can describe the complete area of any locality that fits the definition.

Using the patient's own stem cells with genetic correction should reduce or eliminate the complications of graft vs. host disease and provide a long term solution to proper ARSA expression in MLD patients.

Using a regular triangle and the factor 1 / 2 will result in the Sierpinski triangle, while creating the proper arrangement with four points and a factor 1 / 2 will create a display of a " Sierpinski Tetrahedron ", the three-dimensional analogue of the Sierpinski triangle.

Using whatever equipment the vassal could obtain by virtue of the revenues from the fief, the vassal was responsible to answer calls to military service on behalf of the lord.

Using a Bell & Howell camera, a portable developing and printing machine, and some lighting equipment, Flaherty spent 1914 and 1915 shooting hours of film of Eskimo life.

Using the same type of equipment as scuba diving, the diver breathes from compressed air cylinders, which float on a free floating raft at the surface, allowing the diver only 20 – 30 feet ( 6 – 9 m ) of depth to travel.

Using this equipment, Cavendish calculated the attraction between the balls from the period of oscillation of the torsion balance, and then he used this value to calculate the density of the Earth.

Using equipment donated to the college by Franklin, Stiles conducted the first electrical experiments in New England.

Using more modern techniques than had been available to the older major railroads during the 19th century, and the Rogers fortune to build to the highest standards and acquire the finest equipment and rolling stock, it was widely considered an engineering marvel of the times when completed all the way from Deepwater to reach a port near Norfolk, Virginia on Hampton Roads in 1909, a distance of about 450 miles.

Using antiquated equipment, the XIX Corps took heavy casualties ( 16, 000 ) against modern armor and a desperate Axis enemy.

Using computer equipment coupled with an electronic incarnation of the player piano, they created re-performances of Tatum ’ s first four commercial tracks, from March 21, 1933, and the nine tracks from the April 2, 1949 live concert at Los Angeles ' Shrine Auditorium.

Using Soviet-made tracking equipment and assisted by hired Soviet experts, a period of radio silence was observed, and it was hoped that any illegal transmissions could be identified.

Using smoke bombs, sub-machine guns, and radio jamming equipment, the gang raids the bank, near St Paul ’ s.

* Using the same equipment as Hi / Lo or Pulse, one can manually open the stator ports for short dits and long dahs as in Morse code.

Using this definition, protection from a home ’ s external threats and protection from its internal structural and equipment failures ( see Meanings, above ) are not two types of safety but rather two aspects of a home ’ s steady state.

Using DMT is useful since it allows the communications equipment ( user modem / router and exchange / DSLAM ) to select only bins which are usable on the line thus effectively obtaining the best overall bit rate from the line at any given moment in time.

Using Royal Aircraft Factory BE. 12 and Martinsyde airplanes, they not only overcame enemy air attacks, but also bucked 65 mile per hour winds, antiaircraft fire, and malfunctioning equipment to complete their task circa 19 January 1918.

Using " Rover-1 " to transport themselves and their equipment along portions of Hadley Rille and the Apennine Mountains, Scott and Irwin performed a selenological inspection and survey of the area and collected 180 pounds ( 82 kg ) of lunar surface materials.

Using antiquated equipment, they took heavy casualties-16, 000-against modern armour of the German enemy.

Using their own equipment, they made 50 cassette to cassette copies to give to friends and to sell.

Using equipment from the deactivating 37th Infantry Division, the 10th Infantry Division was deployed to Germany, replacing the 1st Infantry Division at Würzburg, serving as part of the North Atlantic Treaty Organization defensive force.

Using the sensory equipment available to the Culture, Minds can see inside solid objects ; in principle they can also read minds by examining the cellular processes inside a living brain, but Culture Minds regard such mindreading as taboo.

Using portable equipment and requiring little or no set up time, the New Wave way of filmmaking presented a documentary type style.

Using capital from Intel, Hewlett-Packard, Microsoft, and other major investors they designed a line of Itanium-based computers and software to emulate z / Architecture machines so that they could run zSeries operating systems, with zSeries channels for attaching real IBM equipment as well as virtual simulators for most hardware to minimize the need for IBM ’ s peripheral equipment.

Using audio equipment they had immediate access to, these tracks were recorded, encoded to MP3, and quickly released for the masses.

Using a van filled with electronic equipment and equipped with a VHF antenna array, they were able to eavesdrop from a " large distance ".