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Page "Algebraic curve" ¶ 15
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Using and intrinsic
Using the intrinsic rotations equivalence, Tait – Bryan angles correspond with the three rotations with a different axis.

Using and concept
Using terms from formal language theory, the precise mathematical definition of this concept is as follows: Let S and T be two finite sets, called the source and target alphabets, respectively.
Using this concept, some aerospace analysts believe the way to lower launch costs is the exact opposite of SSTO.
Using Camp Shriver as an example, Shriver promoted the concept of involvement in physical activity and competition opportunities for people with intellectual disabilities.
Using these measurements, he reviews the concept of punishment and when it should be used as far as whether a punishment will create more pleasure or more pain for a society.
Using the concept of disembodiment, Lakoff supports the physicalist approach to the afterlife.
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 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 latest technology and a new concept in publishing, Mrs Beeton ( 1836 – 1865 ) published her famous Book of Household Management in 24 monthly parts between 1857 and 1861.
Using an artillery concept used in World War I ( Rolling Thunder ) which was the only time during World War II it was used and after 25, 000 rounds of HE / WP the hill was taken.
Using it as " aerial artillery " solved a major problem in the concept of Blitzkrieg — how to attack dug-in defensive positions.
Using a concept similar to print on demand, Amazon made the discs, cover art, and disc art itself.
Using game theory, they added the concept of complementors ( also called " the 6th force "), helping to explain the reasoning behind strategic alliances.
Using a concept from Mamoru Oshii, Production I. G had Benkyo Tamaoki write a sequel to Blood: The Last Vampire to complete the story.
Using previous results to design further decisions and experiments is a central concept of adaptive management.
Using conversation analysis, he describes how the host retains power through devices such as " The Second Position " — the concept of going second in a discussion, giving the host time to formulate a response.
Using this example, Walker addresses the oppression of the female voice and introduces the concept of Third Wave Feminism.
The term and concept was popularized to the general public by books such as Your Perfect Right: A Guide to Assertive Behavior ( 1970 ) by Robert E. Alberti, and When I Say No, I Feel Guilty: How To Cope Using the Skills of Systematic Assertiveness Therapy ( 1975 ) by Manuel J. Smith.
Using topology optimisation, engineers can find the best concept design that meets the design requirements.
Using this concept the magnetic fields of complex devices such as transformers can be quickly solved using the methods and techniques developed for electrical circuits.
Using Mongolia as representative of the various nomadic tribes of northern and east Asia, the Chinese concept of Heaven was mirrored in that of Tengri.
Using this method, the company was able to build from scratch a new vehicle with virtually 100 percent supplier involvement from concept to reality, at a cost of Rs 600 crore ($ 120 million ), including improvements to the plant.
Using this concept of Pierre Bourdieu's, Haacke is underlining the idea that corporate sponsorship of art enhances their public reputation, which is of material use to them.
Using this concept as a basis, the character's ability to tap into the Speed Force was used to expand his abilities.

Using and tangent
Using the tangent vector, the angle θ of the tangent to the curve is given by:
Using differential calculus, we can determine the limit, or the value that Δy / Δx approaches as Δy and Δx get closer to zero ; it follows that this limit is the exact slope of the tangent.
Just as every symplectic structure is isomorphic to one of the form V ⊕ V < sup >∗</ sup >, every complex structure on a vector space is isomorphic to one of the form V ⊕ V. Using these structures, the tangent bundle of an n-manifold, considered as a 2n-manifold, has an almost complex structure, and the cotangent bundle of an n-manifold, considered as a 2n-manifold, has a symplectic structure:
Using the abstract index notation, let a, b, c, ... refer to and μ, ν, ... refer to the tangent bundle.

Using and space
Using space exploration as a symbol of national prestige, he warned of a " missile gap " between the two nations, pledging to make the U. S. not " first but, first and, first if, but first period.
Using the one-point compactification, one can also easily construct compact spaces which are not Hausdorff, by starting with a non-Hausdorff space.
Using this signal, it is possible to implement a separate stack memory space.
Using a glass wall for the entrance, similar in appearance to his Louvre pyramid, Pei coated the exterior of the main building in white metal, and placed a large cylinder on a narrow perch to serve as a performance space.
Using the number in your space, jump that number of blocks in a straight line to a new space.
Using a space requires clear handwriting to prevent confusion.
Using Starsha's blueprints, they equip the new ship with a space warp drive, called the " wave motion engine ", and a new, incredibly powerful weapon at the bow called the " Wave Motion Gun ".
Using a uniqueness theorem and showing that a potential satisfies Laplace's equation ( second derivative of V should be zero i. e. in free space ) and the potential has the correct values at the boundaries, the potential is then uniquely defined.
Using funds provided by John Langdon, Stark raised 1, 500 New Hampshire militiamen in the space of six days, more than ten percent of New Hampshire's male population over the age of sixteen.
Using this knowledge allowed RCA to develop a system in which they discarded most of the blue signal after it comes from the camera, keeping most of the green and only some of the red ; this is chroma subsampling in the YIQ color space.
Using the technology of these characters ' ship ( which can teleport through space and time ), Lazarus snatches his mother out of the time stream at the end of her life and replaces her with a dead clone.
Using this example as a model, one can define a singular homology for any topological space X.
Using the Fourier Transformation we move to the frequency space
Using editing, multiple exposures, jump cutting, superimposition, slow-motion and other camera techniques to her fullest advantage, Deren creates continued motion through discontinued space, while abandoning the established notions of physical space and time, with the ability to turn her vision into a stream of consciousness.
Using a large ( gamut ) working space will lead to posterization, while using a small working space will lead to clipping.
Using the natural isomorphism between and the space of linear transformations from V to V ,< ref name =" natural iso "> Let L ( V, V ) be the space of linear transformations from V to V. Then the natural map
Using contraception can help to avoid unwanted pregnancies and space births ; protect against STDs, including HIV / AIDS ; and provide other health benefits.
* Using the union and intersection as operations, the clopen subsets of a given topological space X form a Boolean algebra.
Using the continuous Fourier transform, in Fourier space, differentiation transforms into a multiplication:
Using homogeneous coordinates, a non-zero quadratic form in n variables defines an ( n − 2 )- dimensional quadric in the ( n − 1 )- dimensional projective space.
Using a ' POKE ' cheat is more difficult in modern games, as many include anti-cheat or copy-protection measures that inhibit modification of the game's memory space.

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