## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 292

The rings in the first two

elements except 0. The fourth

with coefficients ak in R, a commutative unitary ring. A letter X and formal finite

sums ...

The rings in the first two

**examples**(308 and 309), however, have no nilpotentelements except 0. The fourth

**example**involves polynomials and power serieswith coefficients ak in R, a commutative unitary ring. A letter X and formal finite

sums ...

Page 297

Just as in the special case of the category (E, the equations relating to the

identities (344) entirely determine the morphism lA in 304, A); 1 is often written for

\A. Some further

and ...

Just as in the special case of the category (E, the equations relating to the

identities (344) entirely determine the morphism lA in 304, A); 1 is often written for

\A. Some further

**examples**of categories follow: finite sets and functions; groupsand ...

Page 474

This form of solution Power is particularly appropriate to the solution of second-

order series linear equations. For

solution in powers of x/2 (see 192), in which the symbol (v -I- 1 ), denotes the

product (v ...

This form of solution Power is particularly appropriate to the solution of second-

order series linear equations. For

**example**, Bessel's equation has a seriessolution in powers of x/2 (see 192), in which the symbol (v -I- 1 ), denotes the

product (v ...

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