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Page "Unitary representation" ¶ 10
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All and irreducible
All the other properties of an object, such as its shape, color, or mobility are considered to be nothing more than the effects of these irreducible properties.
All irreducible representations are weakly contained in the left regular representation λ on L < sup > 2 </ sup >( G ).
All representation of the symmetric groups are real ( and in fact rational ), since we can build a complete set of irreducible representations using Young tableaux.
All irreducible representations are 1-dimensional ( characters ), and correspond to sending a generator of G to a root of unity, not necessarily primitive ( the trivial representation sends a generator to 1, for instance ).
All Abelian groups have only one dimensional irreducible representations.

All and unitary
All counties either include at least one unitary authority or are unitary authorities themselves, as is the case with Cornwall and the Unitary Authority of Bristol.
All of the unitary principal councils are fully divided into communities, but not all such communities have established community councils.
In the SI's 6th issue, Raoul Vaneigem writes in a manifesto of unitary urbanism, " All space is occupied by the enemy.
All the unitary groups contain copies of this group.
In the SI's 6th issue, Raoul Vaneigem writes in a manifesto of unitary urbanism, " All space is occupied by the enemy.
All functions of principal authority local government are now administered by a unitary Durham County Council, including the appointment of the Mayor of Durham.
All Scottish and Welsh unitary authorities had all their seats elected.

All and representations
All artistic and mythological representations, therefore, are `` imitations of imitations '' and are completely superseded by the truth value of `` dialectic '', the proper use of the inquiring intellect.
All missions to the United Nations are known simply as permanent missions, while EU Member States ' missions to the European Union are known as permanent representations and the head of such a mission is typically both a permanent representative and an ambassador.
Frame representations are object-centered in the same sense as semantic networks are: All the facts and properties connected with a concept are located in one place-there is no need for costly search processes in the database.
All of these examples of the changes occurring in Paris during this period can be seen in representations of the city.
All the men in Stowe's novel are representations of either one kind of man or the other.
All three representations are presented below.
All graphical elements can be specified in a textual source file that can be compiled into a binary file or one of two text representations.
All this is part of the yoga of weights, uniting Hodge theory and the l-adic Galois representations.
All representations of the rotation groups are real, since they all appear as subrepresentations of tensor products of copies of the fundamental representation, which is real.
All the linear representations in this article are finite dimensional and assumed to be complex unless otherwise stated.
All are valid signed-digit representations of 7, but only the final representation ( 1 0 0 − 1 ) is in NAF.
All representations are also projective representations, but the converse is not true, therefore the projective representation condition on quantum states is weaker than the representation condition on classical states.

All and are
All the drivers knew about the plates and they also knew about the big floppy straw hat with shredded edges, the kind natives in travel ads wear when they are out joyfully chopping cane.
When the Know-nothings get control, it will read, All men are created equal except Negroes and foreigners and Catholics.
All four types of message listed in Table 1 are permitted, although decorum and cocktail tradition require holding the commands to a minimum, while exclamations having complimentary intonations are more than customarily encouraged.
All across the South there are signs that racial violence is finding less approval among whites who themselves would never take active part but might once have shown a tolerant attitude toward it.
Of straight dramas, there are All The Way Home, which owes much of its poetic power to the James Agee novel, A Death In The Family ; ;
All he does is to bullshit with his squad, and they are the stupidest bastards around.
All payments authorized under Section 7 of this Title shall be disbursed from the proper fund, as the case may be, and all amounts covered into the Treasury to the credit of the aforesaid funds are hereby permanently appropriated for the making of the payments authorized by Section 7 of this Title.
All students are invited to participate in any of the musical organizations for which they qualify.
All the bars are cut from Af brass.
All are well distributed, not crowded together near the stern.
All frames are butted at the joints and 3/8-inch plywood gussets are glued and nailed on each side of each joint, again using the one-inch, No. 12 nails.
All bottom battens are two inches wide.
All bottles must be kept a safe distance away from the pool and drinking glasses are banned in favor of plastic or metal cups.
All the additives listed here are sanctioned for use by the Food and Drug Administration of the federal government.
All model cars are not available in all countries.
All of these considerations are of critical importance in considering defense and medical management.
All political interests supported electoral planning, although there are some signs that the inherent uncertainties of a popular judgment led to some procrastination.
All information is carefully appraised and uncertain facts are designated by ( '?'.
All the other force vectors are derived from these.
All these evaluations are then totted up and tabulated, by adding up the Hits and Significants, with the weight placed on those in the sitter's own reading.
All of these activities are geared to a top-priority communication system, and practice tests have been held to assure that everything will work smoothly.

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