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 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.

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 discontinuous density centrifugation and, later, monoclonal antibodies, natural killing ability was mapped to the subset of large, granular lymphocytes known today as NK cells.

Using the fact that is not in Q, one can show quite easily that A is a clopen subset of Q.

Using AC we can show one of the most useful properties of the set ω < sub > 1 </ sub >: any countable subset of ω < sub > 1 </ sub > has an upper bound in ω < sub > 1 </ sub >.

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 with the property that all of its translates by G are disjoint from X and from each other.

Using special hardware, almost any household appliance can be monitored and controlled automatically or remotely, including:

Using the previous advances in the communication protocols for POS's control of hardware, cloud-based POS systems are independent from platform and operating system limitations.

Using the monitor and keyboard, modern operating systems like Linux and the BSD derivatives feature virtual consoles, which are mostly independent from the hardware used.

Using the original Q-Link software as a D-64 file, it can be accessed using either the VICE Commodore 64 emulator ( available on multiple platforms, including Windows and Linux ), or by using authentic Commodore hardware connected to the Internet by way of a serial cable connected to a PC with internet access.

Using the knowledge gathered while writing these games, he helped write De Re Atari, a lengthy book covering most of the advanced features of the system, from the hardware assisted smooth scrolling to digitized sounds.

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 the loopback interface also bypasses local network interface hardware.

Using common materials ( such as plywood, sheet metal, and acrylic glass or polycarbonate ) found at local hardware stores ), do-it-yourselfers are able to construct a pad that is often much more durable and more authentic-feeling than commercially built hard pads.

Using GFS in a cluster requires hardware to allow access to the shared storage, and a lock manager to control access to the storage.

Using horse power of Multimedia or 2D bitmap graphics hardware.

Using an EDA tool for synthesis, this description can usually be directly translated to an equivalent hardware implementation file for an ASIC or an FPGA.

* Familiarity: Using common, well-known code, software, operating systems, and / or hardware increases the probability an attacker has or can find the knowledge and tools to exploit the flaw

Using a computer with common and well-documented hardware, the manual configuration required will be considerably simpler than the alternative option of manually ' building ' ( installing ) MythTV, in addition to ' building ' numerous other programs that MythTV depends on.

Using DirectX for hardware acceleration, Jnes also features online play with Kaillera, and the ability to use codes for cheat devices like the Game Genie and Pro Action Replay.

Using slipstreamed OS CDs ( e. g. XP Pro ) can avoid installation errors caused by drivers and hardware components.

Using appropriate safe input hardware ( e. g. light curtains, e-stop buttons, and door interlock switches ), AS-Interface can provide safety support up to SIL ( Safety Integrity Level ) 3 according to EN 62061, CAT 4 according to EN954-1 as well as Performance Level e ( PL e ) according to EN ISO 13849-1.

* Using Java, and based very closely on Weizenbaum's published description of the program: http :// www. chayden. net / eliza / Eliza. html

Using a statistical description for data, information theory quantifies the number of bits needed to describe the data, which is the information entropy of the source.

Using only a few basic principles will therefore not result in a model that is a good description of the full range of possible outcomes.

Using this description of the graph, the conjecture may be restated as follows: if some family of sets has total elements, and any two sets intersect in at most one element, then the intersection graph of the sets may be-colored.

If the order of a group G is relatively small and the subgroup H is known to be uncomplicated ( for example, a cyclic group ), then the algorithm can be carried out by hand and gives a reasonable description of the group G. Using their algorithm, Coxeter and Todd showed that certain systems of relations between generators of known groups are complete, i. e. constitute systems of defining relations.

Using French's description of Bessie Williams when he found her in the bathtub, Spilsbury reasoned that Smith must have seized her by the feet and suddenly pulled them up toward himself, sliding the upper part of the body underwater.

Using modern operating techniques, mortality from a Whipple procedure is around five percent in the United States ( less than two percent in high-volume academic centers ).< ref >< nowiki > http :// www. ddc. musc. edu / ddc_pub / patientInfo / surgeries / whipple. htm </ nowiki > Public Information Site | MUSC Digestive Disease Center </ ref > The original description of Whipple's operation together with a modern commentary is available on-line.

Using some semiclassical electrodynamics and non-relativistic quantum mechanics, in this section we present a relatively simple and quantitative description of the spin-orbit interaction for an electron bound to an atom, up to first order in perturbation theory.

Using the technology library's cell logical view, the Logic Synthesis tool performs the process of mathematically transforming the ASIC's register-transfer level ( RTL ) description into a technology-dependent netlist.

Using a standardized format, the FO sends map references and bearing to target, a brief target description, a recommended munition to use, and any special instructions such as " danger close " ( the warning that friendly troops are within 600 meters of the target when using artillery, requiring extra precision from the guns ).

Using both these coefficients one obtains color accuracy of less than one L < sup >*</ sup > a < sup >*</ sup > b < sup >*</ sup > space unit ( the limit of perception ) in up to a 10 cm path under Illuminant C. Using just the SRM for this beer gives a reasonably good description of its color with error of about 4 L < sup >*</ sup > a < sup >*</ sup > b < sup >*</ sup > units.