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These order-theoretic properties lead to a number of important results in real analysis, such as the monotone convergence theorem, the intermediate value theorem and the mean value theorem.
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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 have some bosonic properties, while bosons, at sufficiently low temperature, can form a large Bose-Einstein condensate.
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.
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 officials managed represented the interests of the fisc, which collected taxes in gold, and the Imperial properties.
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.
These and lead
These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.
These are usually ' temps ' ( temporary workers ) or consultants who, depending on the project and their experience, might be brought on to lead a task for which the skill-set did not exist within the company, or in the case of a temp, in the vernacular sense, to perform busy-work or an otherwise low-skilled repetitive task for which an employee is deemed too valuable to perform.
These changes may be made either by the same writer who made it, or more commonly by an author that has taken over the creative lead of a corporate owned show or publication.
" These sentences are interpreted by many Buddhists ( especially in the West ) as an injunction against supporting any legal measure which might lead to the death penalty.
These aspects of the Federal Reserve System are the parts intended to prevent or minimize speculative asset bubbles, which ultimately lead to severe market corrections.
These people lead a life of misery and are denied the most basic of human rights: the right to food.
These smaller bore and gauge shotshells also require much less lead shot, further lessening the impact of the rapid rises seen in the price of lead shot.
These dreams are another factor which has lead some scholars to associate Imhotep with the Biblical figure of Joseph.
These ( and other ) critics have questioned how natural selection operating on individual organisms can lead to the evolution of planetary-scale homeostasis.
These behaviors may increase stress in personal relationships, lead to problems at work and increase the risk of altercations with law enforcement.
These advances would lead Hector Berlioz to write a landmark book on instrumentation, which was the first systematic treatise on the use of instrumental sound as an expressive element of music.
These early investigations did not lead to the use of antibiotics to treat infection because they took place in obscure circumstances, and the idea that infections were caused by transmissible agents was not widely accepted at the time.
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