Page "Multivariate normal distribution" ¶ 10
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## Some Related Sentences

Every and linear
Every module over a division ring has a basis ; linear maps between finite-dimensional modules over a division ring can be described by matrices, and the Gaussian elimination algorithm remains applicable.
Every time a diode switches from on to off or vice versa, the configuration of the linear network changes.
Every vector v in determines a linear map from R to taking 1 to v, which can be thought of as a Lie algebra homomorphism.
Every smooth ( or differentiable ) map φ: M → N between smooth ( or differentiable ) manifolds induces natural linear maps between the corresponding tangent spaces:
Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.
Every sedenion is a real linear combination of the unit sedenions 1, < var > e </ var >< sub > 1 </ sub >, < var > e </ var >< sub > 2 </ sub >, < var > e </ var >< sub > 3 </ sub >, ..., and < var > e </ var >< sub > 15 </ sub >,
Every octonion is a real linear combination of the unit octonions:
Every physical quantity has a Hermitian linear operator associated to it, and the states where the value of this physical quantity is definite are the eigenstates of this linear operator.
Every vector in the space may be written as a linear combination of unit vectors.
Every nontrivial proper rotation in 3 dimensions fixes a unique 1-dimensional linear subspace of R < sup > 3 </ sup > which is called the axis of rotation ( this is Euler's rotation theorem ).
Every finite-dimensional normed space is reflexive, simply because in this case, the space, its dual and bidual all have the same linear dimension, hence the linear injection J from the definition is bijective, by the rank-nullity theorem.
Every finite-dimensional Hausdorff topological vector space is reflexive, because J is bijective by linear algebra, and because there is a unique Hausdorff vector space topology on a finite dimensional vector space.
Every real m-by-n matrix yields a linear map from R < sup > n </ sup > to R < sup > m </ sup >.
* Every ( biregular ) algebraic automorphism of a projective space is projective linear.
Every bounded linear transformation from a normed vector space to a complete, normed vector space can be uniquely extended to a bounded linear transformation from the completion of to.
Every vector a in three dimensions is a linear combination of the standard basis vectors i, j, and k.
Every lattice in can be generated from a basis for the vector space by forming all linear combinations with integer coefficients.
Every linear program has a dual problem with the same optimal solution, but the variables in the dual problem correspond to constraints in the primal problem and vice versa.
* Every irreducible polynomial in K which has a root in L factors into linear factors in L.
Every linear function on a finite-dimensional space is continuous.

Every and combination
The newest formulas of Mobilgas Special was advertised as offering " A Tune-Up in Every Tankful " due to a combination of chemicals known as the " Mobil Power Compound " which was designed to increase power, check pre-ignition ping, correct spark plug misfiring, control stalling and combat gumming up of carburetors.
Every environment has a characteristic combination of geologic processes and circumstances.
Every possible combination of luminosoties of each light ( color ) is equal to the full gamut of those three lights ( colors ).
Every medium has its own combination of languages that it uses to communicate meaning.
Every province in Canada except Alberta has either a Provincial Sales Tax ( PST ) or the Harmonized Sales Tax ( HST ), which is a single, blended combination of the GST and PST.
The court injunction was based on the Sherman Anti-Trust Act which prohibited " Every contract, combination in the form of trust or otherwise, or conspiracy, in restraint of trade or commerce among the several States ".
Every network member is an active contributor to IRGC ’ s work, whether via the provision of funding, expertise and research work, or a combination of these.
# Every plurality, being a combination of units, presupposes an original unity ; hence, even those that assume a plurality of gods must logically admit the prior existence of a Divine Unity — a Neoplatonic argument borrowed by Baḥya from the Brothers of Purity.
A combination of high production standards, the growing confidence of the main songwriting team of Wilson and Brown, and tight harmonies enabled them to secure further big hits such as " You Sexy Thing " and " Every 1's a Winner ", which were also U. S. hits, peaking at # 3 ( 1976 ) and # 6 ( 1979 ), respectively.
Every ( bounded ) convex polytope is the image of a simplex, as every point is a convex combination of the ( finitely many ) vertices.
Every bateria is evaluated on " the regular maintenance and support of the cadence ... in accordance with the Samba Theme: the perfect combination of sounds emitted by various tools, the creativity and versatility of the bateria.
At Film Freak Central, Walter Chaw calls it " Plaintive and sad, Claire Denis ' Trouble Every Day is a rare combination of honesty, beauty, and maybe even genius.
Every input from the user was processed correctly by a combination of software processing and real-time experimenter intervention.
Every substance has a differing combination of properties but it is found that they can be ranked into similar ranges, simplifying the selection of equipment for hazardous areas.

Every and its
Every path from back door to barn was covered by a grape-arbor, and every yard had its fruit trees.
Every time you transplant a pansy you cause its flowers to become smaller.
Every winter a kegful of this sauce was made and placed at the end of a row of four other kegs in the cellar, so that when its turn came, it was properly mellowed.
Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.
Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.
1 ) Every age rewrites the events of its history in terms of what should have been, creating legends about itself that rationalize contemporary beliefs and excuse contemporary actions.
Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.
Every member of the family must have a vital place in its life.
Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping.
Every telephone company, whether large or small, determines its own ANAC for each individual central office, which tends to perpetuate the current situation of a mess of overlapping and / or spotty areas of coverage.
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 collecting institution must develop an emergency plan to protect its collections and train staff to carry it out.
* Every institution must assign responsibility for caring for collections to members of its staff.
Every ATM cell has an 8-or 12-bit Virtual Path Identifier ( VPI ) and 16-bit Virtual Channel Identifier ( VCI ) pair defined in its header.
" Every performance of its run was sold out.
Every Hilbert space X is a Banach space because, by definition, a Hilbert space is complete with respect to the norm associated with its inner product, where a norm and an inner product are said to be associated if for all x ∈ X.
Every computer system provides at least one file-manager program for its native file system.
Every aspect of life was regulated to some degree by the party, and the will of its founding-president, Mobutu Sese Seko.
Every tile belongs to the two suits of its two values, e. g. 0 – 3 belongs both to the blank suit ( or 0 suit ) and to the 3 suit.
Every division ring is therefore a division algebra over its center.
Every field is, of course, one-dimensional over its center.
Every system must have a class designated as " root ", with one of its creation procedures designated as " root procedure ".
Every SE must be registered in the State where it has its registered office, in a register designated by the law of that State.
Every node on the Freenet network contributes storage space to hold files, and bandwidth that it uses to route requests from its peers.
The album's lead single, " She's Every Woman " peaked at number-one on the Billboard Country Chart, however its follow-up single, " The Fever " ( a cover of an Aerosmith song ) only peaked at number 23, becoming Brooks's first released Country single to not chart on the Top 10.

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