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

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Page 253

This second property is expressed by saying that

result either sum may be expressed as a + b + c. There is a number 0 (zero) such

that the sum of any number a and zero is a (see 3). Corresponding to each ...

This second property is expressed by saying that

**addition**is associative, and as aresult either sum may be expressed as a + b + c. There is a number 0 (zero) such

that the sum of any number a and zero is a (see 3). Corresponding to each ...

Page 254

Any set of elements in mathematics that has two laws of composition,

and multiplication, such that ( 1 ) with

an additive group, and (2) with multiplication is commutative and associative, and

...

Any set of elements in mathematics that has two laws of composition,

**addition**and multiplication, such that ( 1 ) with

**addition**as the law of combination it formsan additive group, and (2) with multiplication is commutative and associative, and

...

Page 283

In order to get a field containing 4—1 (that is, to be able to carry out

subtraction, multiplication, and division subject to the usual rules), all complex

numbers of the form x + yi = x+iy = x + yj—l were considered more generally.

In order to get a field containing 4—1 (that is, to be able to carry out

**addition**,subtraction, multiplication, and division subject to the usual rules), all complex

numbers of the form x + yi = x+iy = x + yj—l were considered more generally.

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