Index 723D
debit, 58
decillion, definition of, 9
decimal
endless, 101–104, 121, 160–161
fraction, 95–108
nonterminating, 101–104, 160–161
numeral, 11–17, 143–144
point, 96–98
terminating, 99–101, 160–161
to ratio conversion, 104–107
denominator
common, 91–92
definition of, 84
zero as, 135
denumerable set, 129, 168
dependent variable, definition of, 215
Descartes, Rene, 223
diagonal form of matrix, 301–304, 341,
343–344
difference vs. ratio, 482–483, 492
differential calculus, 410
digit, definition of, 3
discriminant, 378, 381–382, 504–506
disjoint sets, 25, 28, 31, 146
displacement
addition as, 52–53
definition of, 51
division as, 66–67
multiplication as, 65–66
subtraction as, 53–54
distributive laws, 78–80, 134–135, 156
dividend, definition of, 67
dividing through, 175–176
division
as displacement, 66–67
by zero, 67–68
notation for, 70
of complex numbers, 357–358
of fractions, 90–91, 159
signs in, 72
synthetic, 423–427
divisor, definition of, 67
domain
definition of, 208–209
of mapping, 208–211
double elimination, 255–258, 267–270, 285
E
echelon form of matrix, 301–303, 341–343
element of set, 19–21, 144
ellipsis, 148
empty set (seenull set)
endless decimal
nonrepeating, 102–103, 160–161
repeating, 101–104, 160–161
equal sets, 24–25
equation
first degree, 192–207
higher-degree, 432–446
manipulating or morphing,
68, 173–176
polynomial, 432–446
second-degree, 363
equivalence, logical, 179
equivalence relation, 180, 310
essential domain of mapping, 208–211
even number, definition of, 39
exponent
definition of, 44–45
reciprocal within, 484
exponential
base, 95, 487
base-10, 487–488, 541–543
base-e, 488, 541–543
common, 487–488, 541–543
constant, 192, 487
definition of, 487
vs. logarithm, 488–489
natural, 488, 541–543
in product, 494
in ratio, 494–495
exponents
addition of, 117–119
irrational-number, 139–140
multiplication of, 120–121
subtraction of, 118–119
extremum, 399–402
Euler’s constant, 479F
factor
common, 87
imaginary numbers in, 387–391