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These four properties uniquely determine the equality relation on any set S and render equality the only relation on S that is both an equivalence relation and a partial order.
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These and four
These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.
These chatty merchants made amusing and instructive traveling companions, for their business took them to all four corners of the globe, and Florentine gossip had already reached a high stage of development as even a cursory glance at the Inferno will prove.
These contemporary structures, beautifully adapted to a school in the country, are home to 60 children, ages eight to fourteen, grades four through eight.
These include four national forests and one national preserve within state borders that provide over 25 % of the state's public recreation land.
These four elements were eventually codified in most states.
These programs are divided into 15 colleges and schools which are spread across ASU's four campuses.
These are sometimes called " the four pillars of the Big Bang theory ".
These four young Hebrew men were taken captive in one of the Babylonian raids against Judah in 605 BC.
These include eliminating the positions of appointed senators and senators for life, granting the President authority to remove the commanders-in-chief of the armed forces, and reducing the presidential term from six to four years while also disabling immediate re-election.
These are accompanied by the classical Sìzì ( 四字 ) with four virtues:
These four functions are completed by five elements ; Detector, Transducer, Transmitter, Controller, and Final Control Element.
These Pythian Games rank second among the four stephanitic games chronologically and based on importance.
These four bases are attached to the sugar / phosphate to form the complete nucleotide, as shown for adenosine monophosphate.
These four so-called mega-quakes are believed to be an ongoing cataclysmic danger that could reprise the 1811-12 series of 2, 000 quakes that affected the lands of what would be eight of today's heartland states of the United States.
These four families ( Ascoviridae, Iridoviridae, Phycodnaviridae and Polydnaviridae ) may form a clade but more work is needed to confirm this.
These ships displaced 1, 850 tons and were armed with eight guns in four twin turrets and four torpedo tubes.
These were four of the most powerful ships in the world, but he positioned them so far away from his six battlecruisers that they were unable to take part in most of the engagement with Admiral Hipper's squadron of five battlecruisers.
These talks were attended by the four major combatant groups, including the EPLF.
These early Equidae were fox-sized animals with three toes on the hind feet, and four on the front feet.
These four schools share most of their rulings, but differ on the particular hadiths they accept as authentic and the weight they give to analogy or reason ( qiyas ) in deciding difficulties.
These four ' Quadruplex ' signals are then sent to the control surface actuator, and the surface begins to move.
These alterations included the removal of his tiny ears, 3 toes on each foot rather than four, enlarged central dorsal fins and a bulkier body.
These are sufficiently numerous to challenge the theory that the Gospel of John was the last to be written among the four Gospels and that it shows marked non-Jewish influence.
These testbed satellites will be followed by four IOV Galileo satellites that will be much closer to the final Galileo satellite design.
These and properties
These properties and ratios are used to determine the age of rocks by the method of K-Ar dating.
These steels were of poor quality, and the introduction of pattern welding, around the 1st century AD, sought to balance the extreme properties of the alloys by laminating them, to create a tougher metal.
These include host defense mechanisms, the location of infection, and the pharmacokinetic and pharmacodynamic properties of the antibacterial.
These oncolytic properties provided a promising link between CDV and lymphoma apoptosis which can lead to development of alternative treatment methods for both canine lymphoma and human non-Hodgkin lymphoma.
These two isomers of butene are slightly different in their chemical and physical properties.
These have some bosonic properties, while bosons, at sufficiently low temperature, can form a large Bose-Einstein condensate.
These properties are special because they are visible from outside a black hole.
These forms of linear combination satisfy numerous simple-looking properties, like asymptotic formulae or integral representations.
These properties make benzodiazepines useful in treating anxiety, insomnia, agitation, seizures, muscle spasms, alcohol withdrawal and as a premedication for medical or dental procedures.
These cylindrical carbon molecules have unusual properties, which are valuable for nanotechnology, electronics, optics and other fields of materials science and technology.
These sheets are rolled at specific and discrete (" chiral ") angles, and the combination of the rolling angle and radius decides the nanotube properties ; for example, whether the individual nanotube shell is a metal or semiconductor.
These techniques rely on the properties of starches to create simpler mucilaginous saccharides during cooking, which causes the familiar thickening of sauces.
These include models to study the electronic properties of solids, such as the Drude model, the Band structure and the density functional theory.
These physical properties are then represented by tensors, which are mathematical objects that have the required property of being independent of coordinate system.
These films have much less tensile stress, but worse electrical properties ( resistivity 10 < sup > 6 </ sup > to 10 < sup > 15 </ sup > Ω · cm, and dielectric strength 1 to 5 MV / cm ).
These different factors affect the diamond's hardness, smoothness, conductivity, optical properties and more.
These conflicting properties caused disruptions when trying to classify it as a wave or particle.
These carbides have metallic properties and are refractory.
These two properties determine whether a given index is worth the cost.
where b and c are scalars, v is any vector of size n and I is the identity matrix of size n. These properties state that the determinant is an alternating multilinear function of the columns, and they suffice to uniquely calculate the determinant of any square matrix.
These two properties determine whether a given index is worth the cost.
These officials managed represented the interests of the fisc, which collected taxes in gold, and the Imperial properties.
These properties may all be imparted to matter with which it interacts.
These properties of high-frequency EMR are due to quantum effects which cause permanent damage to materials and tissues at the single molecular level.
These properties however can become important when circuitry is subjected to transients, such as when first energised.
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