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Page "Quadratic form" ¶ 58
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Every and quadratic
* Every quadratic Bézier curve is also a cubic Bézier curve, and more generally, every degree n Bézier curve is also a degree m curve for any m > n. In detail, a degree n curve with control points P < sub > 0 </ sub >, …, P < sub > n </ sub > is equivalent ( including the parametrization ) to the degree n + 1 curve with control points P '< sub > 0 </ sub >, …, P '< sub > n + 1 </ sub >, where.
Every quadratic space is also an inner product space ( see below ).
Every degree of freedom in the energy is quadratic and, thus, should contribute k < sub > B </ sub > T to the total average energy, and k < sub > B </ sub > to the heat capacity.

Every and form
Every field has an algebraic extension which is algebraically closed ( called its algebraic closure ), but proving this in general requires some form of the axiom of choice.
Every information exchange between living organisms — i. e. transmission of signals that involve a living sender and receiver can be considered a form of communication ; and even primitive creatures such as corals are competent to communicate.
Every context-sensitive grammar which does not generate the empty string can be transformed into an equivalent one in Kuroda normal form.
* Every pair of congruence relations for an unknown integer x, of the form x ≡ k ( mod a ) and x ≡ l ( mod b ), has a solution, as stated by the Chinese remainder theorem ; in fact the solutions are described by a single congruence relation modulo ab.
Every grammar in Chomsky normal form is context-free, and conversely, every context-free grammar can be transformed into an equivalent one which is in Chomsky normal form.
Every summer form mid-June to early July, The Heart of America Shakespeare Festival has a production at Southmoreland Park near the Nelson-Atkins Museum.
Every RFC is submitted as plain ASCII text and is published in that form, but may also be available in other formats.
Every form is the delimitation of a surface by another one ; it possesses an inner content, the effect it produces on one who looks at it attentively.
Every synset contains a group of synonymous words or collocations ( a collocation is a sequence of words that go together to form a specific meaning, such as " car pool "); different senses of a word are in different synsets.
Every twin prime pair except ( 3, 5 ) is of the form ( 6n − 1, 6n + 1 ) for some natural number n, and with the exception of < var > n </ var > = 1, < var > n </ var > must end in 0, 2, 3, 5, 7, or 8.
Every dual number has the form z = a + bε with a and b uniquely determined real numbers.
" Every adult had to fill out a form detailing his or her past.
Every context-free grammar can be transformed into an equivalent grammar in Greibach normal form.
Every religion on Earth see there god in the form of light, the spread of some beam light, Islam noor, Christian rays of light it nothing but it Shiva.
Every one of these calendars has a year of 365 days, which is occasionally extended by adding an extra day to form a leap year, a method called " intercalation ", the inserted day being " intercalary ".
In Sikhism, Every soul who have taken form or born on earth is called Avtar.
Long created the Share Our Wealth program in 1934 with the motto " Every Man a King ", proposing new wealth redistribution measures in the form of a net asset tax on corporations and individuals to curb the poverty and homelessness endemic nationwide during the Great Depression.
Every acre was owned by someone, either a private individual or by government in the form of the Crown.
Every decision made by three of these " deputations " — and in each of them the lower clergy formed the majority — received ratification for the sake of form in general congregation, and if necessary led to decrees promulgated in session.
The title " Every Good Boy Deserves Favour " was borrowed, tongue-in-cheek, from a mnemonic used to remember the musical notes that form the lines of the treble clef: EGBDF.
Ongoing acrimony between the brothers, however, led to Tommy Dorsey's walking out to form his own band in 1935, just as the orchestra was having a hit with " Every Little Moment.
Every building in Regent Street is protected as a Listed Building, at least Grade II status, and together they form the Regent Street Conservation Area.
Every action has some impact in the environment, and the environment provides feedback in the form of rewards that guides the learning algorithm.
Every Wake Forest undergraduate student who lives on campus is required to sign up for some form of a meal plan in coordination with Aramark.

Every and q
Every odd number q satisfies for.
* Every Other Day, a reference in medicine terminology to timing, often also seen as q. o. d.
* Every 4 ( q lat.
Every positive rational number q may be expressed as a continued fraction of the form

Every and n
* Every polynomial ring R ..., x < sub > n </ sub > is a commutative R-algebra.
Every positive integer n > 1 can be represented in exactly one way as a product of prime powers:
Every ketose will have 2 < sup >( n-3 )</ sup > stereoisomers where n > 2 is the number of carbons.
Every aldose will have 2 < sup >( n-2 )</ sup > stereoisomers where n > 2 is the number of carbons.
* Hardy and Littlewood listed as their Conjecture I: " Every large odd number ( n > 5 ) is the sum of a prime and the double of a prime.
* Every finite tree with n vertices, with, has at least two terminal vertices ( leaves ).
Every random vector gives rise to a probability measure on R < sup > n </ sup > with the Borel algebra as the underlying sigma-algebra.
* Every left ideal I in R is finitely generated, i. e. there exist elements a < sub > 1 </ sub >, ..., a < sub > n </ sub > in I such that I = Ra < sub > 1 </ sub > + ... + Ra < sub > n </ sub >.
Every smooth submanifold of R < sup > n </ sup > has an induced Riemannian metric g: the inner product on each tangent space is the restriction of the inner product on R < sup > n </ sup >.
Every finite group of exponent n with m generators is a homomorphic image of B < sub > 0 </ sub >( m, n ).
Every smooth manifold defined in this way has a natural diffeology, for which the plots correspond to the smooth maps from open subsets of R < sup > n </ sup > to the manifold.
Every known Sierpinski number k has a small covering set, a finite set of primes with at least one dividing k · 2 < sup > n </ sup >+ 1 for each n > 0.

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