Product
In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. The order in which real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of multiplication. When matrices or members of various other associative algebras are multiplied the product usually depends on the order of the factors; in other words, matrix multiplication, and the multiplications in those other algebras, are non-commutative.Several products are considered in mathematics:
- Products of the various classes of numbers
- The dot product and cross product are forms of multiplication of vectors.
- The product of matrices; see matrix multiplication.
- The pointwise product of two functions.
- Products in rings and fields of many kinds.
- It is often possible to form the product of two (or more) mathematical objects to form another object of the same kind, e.g.
- the cartesian product of sets,
- the product of groups,
- the product of rings,
- the product of topological spaces,
- for the general treatment, see product (category theory).
In business, a product is something produced (often mass produced) for commercial sale. Products are typically contrasted with services.
Detricand's reputation well, the signs of a hard life were thick on him,
drily; "they seem wasted here." Detricand's eye flashed, but he answered
not talent that's kept me from starving here, I'm afraid, but the
would not have needed talents there. You would no doubt have been
suddenly to have got back a manner to which he had been long a stranger.
manner had a balanced serenity, while Philip himself had no such perfect
a composed and nonchalant tone:
"I've/ve.html">ve no doubt there were those at Court who'd have clothed me in purple
the galleys here, as it were."
"Then I trust you've enjoyed your Botany Bay," answered Philip mockingly.
light.html">light." He moved to the veille, and sat down. Guida busied herself at
light," replied Detricand, lifting a shoulder ironically.
"And a friend to Jersey at the same time, eh?" was the sneering reply.
Detricand was in the humour to tell the truth even to this man.html">man.html">man who hated
Philip did not see that when once such a man has stood in his own
no after insult.
Detricand still would not be tempted out of his composure. "No," he
people here have been kind enough to forget the act, and the example I
the entrance fee and can endure the entertainment. One hasn't to
than you deserve, and no worse. One thing balances another."
The man's cool impeachment and defence of himself irritated Philip, the
at advantage.
"You paid no entrance fee here; you stole in through a hole in the wall.
fire.
Detricand's answer came biting and dry. "You are an officer of your
would have been butchery. We were soldiers of France; we had the
.
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