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 proper equipment is key in preventing injury.

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 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 a head-mounted accelerometer and a brain-machine interface that employs electrotactile stimulation on the tongue, information about head-body orientation was relayed to the patient so that a new source of data is available to orient themselves and maintain good posture.

Hence S breaks up into uncountably many orbits under G. Using the axiom of choice, we could pick a single point from each orbit, obtaining an uncountable subset X of S with the property that all of its translates by G are disjoint from X.

Using a branch of mathematics known as tuple calculus, he demonstrated that such a system could support all the operations of normal databases ( inserting, updating etc.

Using Adrian's admissions, they declared that they could not have it appear ' as though they wished to oppress evangelical truth and assist unchristian and evil abuses.

Using Epicode, key portions of the VAX instruction set could be directly encoded into the PRISM, greatly improving performance.

Using mathematical rules and procedures based on properties of reducible configurations, Appel and Haken found an unavoidable set of reducible configurations, thus proving that a minimal counterexample to the four-color conjecture could not exist.

Using RPN, one could get the result of the mathematical expression this way:

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 synthetic DNA, instead of there being 4 < sup > 3 </ sup > codons, if there are n new bases there could be as many as n < sup > 3 </ sup > codons.

Using quantum theory Dirac showed that if magnetic monopoles exist, then one could explain the quantization of electric charge --- that is, why the observed elementary particles carry charges that are multiples of the charge of the electron.

Using meconium, a Canadian research group at the Hospital for Sick Children, University of Toronto, showed that by measuring a by-product of alcohol ( FAEE ) they could objectively detect babies exposed to excessive maternal drinking of alcohol in pregnancy.

Using these tables, often calculated out to 16 decimal places or more for some functions, one could look up values to plug into the formulas given and achieve very good numerical estimates of some functions.

Using a common-view measurement method based on the received signals from radio station WWV, they determined the orbital motion of the Moon about the Earth, from which the apparent motion of the Sun could be inferred, in terms of time as measured by an atomic clock.

Using this technique, a small number of triodes could be made to do the work that formerly required dozens of triodes.

Using an early theory of inertia, Galileo could explain why rocks dropped from a tower fall straight down even if the earth rotates.

Using dyes to test various plastics for leaks, they found a suitable plastic called Durex 1661½ which could be easily molded into a case.

Using a less strict definition of the electro-optic effect allowing also electric fields oscillating at optical frequencies, one could also include nonlinear absorption ( absorption depends on the light intensity ) to category a ) and the optical Kerr effect ( refractive index depends on the light intensity ) to category b ).

Using similar acoustic parameters, deuterated acetone, similar bubble nucleation, and a much more sophisticated neutron detection device, the researchers could find no evidence of a fusion reaction.

Using portable FM radios tuned to a specific frequency, audiences could hear the concert with greater dynamic range and stereo effects.

Using an appropriate artificial selection procedure, diatoms that produce valves of particular shapes and sizes could be evolved in the laboratory, and then used in chemostat cultures to mass produce nanoscale components.

Using nanotechnology, such components could be created out of chemical compounds.

Using props such as sticks or ski poles is generally discouraged as they hinder balance, create dependence, and a fall onto props could cause serious injury.

Using the best available compilers, late in the machine's history, FORTRAN programs could expect to maintain about 0. 5 MFLOPS.

Using this character in either " Text " or " Code " fields could create difficulties for performing certain tasks in Navision, such as filtering records ( either by the user or by programming ).

Using the 1479 BC estimate the battle could have taken place in May 1457.

Using two sets of rollers that traveled at different speeds, yarn could be twisted and spun quickly and efficiently.