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M := YOUNGESTOFFSPRING ( MOTHER ( MOTHER ( R )));
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M and :=
Let φ: M × R → M be the one-parameter semigroup of local diffeomorphisms of M induced by the vector flow of Y and denote φ < sub > t </ sub >( p ) := φ ( p, t ).
When L ( A ) is a lattice, the matroid of A, written M ( A ), has A for its ground set and has rank function r ( S ) := codim ( I ), where S is any subset of A and I is the intersection of the hyperplanes in S. In general, when L ( A ) is a semilattice, there is an analogous matroid-like structure that might be called a semimatroid, which is a generalization of a matroid ( and has the same relationship to the intersection semilattice as does the matroid to the lattice in the lattice case ), but is not a matroid if L ( A ) is not a lattice.
M and R
M & R Dietetic Laboratories, Inc., Columbus, gives all its workers a facsimile checkbook -- each check showing the amount the company spends on a particular fringe.
There were four kinds of allegiances ( Rittson v Stordy ( 1855 ) 3 Sm & G 230 ; De Geer v Stone ( 1882 ) 22 Ch D 243 ; Isaacson v Durant ( 1886 ) 54 LT 684 ; Gibson, Gavin v Gibson 3 KB 379 ; Joyce v DPP AC 347 ; Collingwood v Pace ( 1661 ) O Bridg 410 ; Lane v Bennett ( 1836 ) 1 M & W 70 ; Lyons Corp v East India Co ( 1836 ) 1 Moo PCC 175 ; Birtwhistle v Vardill ( 1840 ) 7 Cl & Fin 895 ; R v Lopez, R v Sattler ( 1858 ) Dears & B 525 ; Ex p Brown ( 1864 ) 5 B & S 280 );
On March 5, 1868, the impeachment trial began in the Senate and lasted almost three months ; Reps. George S. Boutwell, Ben Butler and Thaddeus Stevens acted as managers ( prosecutors ) for the House and William M. Evarts, Benjamin R. Curtis and Attorney General Henry Stanberry served as Johnson's counsel ; Chief Justice Chase served as presiding judge.
The buyout, secretly negotiated by Charles M. Schwab ( no relation to Charles R. Schwab ), was the largest such industrial takeover in United States history to date.
* Given an R-module M, the endomorphism ring of M, denoted End < sub > R </ sub >( M ) is an R-algebra by defining ( r · φ )( x ) = r · φ ( x ).
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:= and YOUNGESTOFFSPRING
:= and R
The latter example leads to a generalization of modules over rings: If C is a preadditive category, then Mod ( C ) := Add ( C, Ab ) is called the module category over C. When C is the one-object preadditive category corresponding to the ring R, this reduces to the ordinary category of ( left ) R-modules.
Then k < sub > x </ sub > := R < sub > x </ sub >/ m < sub > x </ sub > is a field and m < sub > x </ sub >/ m < sub > x </ sub >< sup > 2 </ sup > is a vector space over that field ( the cotangent space ).
* Net present value of a net cash flow, R ( t ), is given by the one-form w ( t ) := ( 1 + i )< sup >− t </ sup > where i is the discount rate.
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