Index
absolute
accuracy
error
frequency, statistical
absurdity
acceleration
distance and
energy and
power and
speed and
units of
accuracy, absolute
acute
angle
triangle
addend, definition of
addition
approximate
basics of
carrying in
of cash
commutative law for
as counting on
in scientific notation
of vectors
adjacent sides
algebra
basics of
dimension in
first-year
long multiplication in
“magic” by
number problems as
“school,”
word problems as
algorithm
alternate interior angles
AND operation, logical
angle
acute
in circle
circular measure of
complementary
degree measure of
double
grade measure of
interior
multiple
obtuse
opposite
powers of
quadrants
radian measure of
right
in semicircle
straight
supplementary
in triangle
antecedent
antiderivative
antilogarithm
antipodes
arctangent function
area
maximum for constant perimeter
surface, minimum, of box
surface, minimum, of cone
surface, minimum, of cylinder
argument
in exponential
in logarithm
arithmetic
progression
series
aspect ratio
associative law
for logical conjunction
for logical disjunction
astronomical unit
asymptotes, of hyperbola
avoirdupois weight
azimuth
bar graph
base-line
bearing
bell-shaped curve
bilateral symmetry
billion, definition of
bimodal distribution, statistical
binary number system
binomial
definition of
expansion
powers of
black hole
borrowing, in subtraction
box graph
braces, as grouping symbols
brackets, as grouping symbols
calculator
division using
fractions handled by
multiplication using
calculus
differential, definition of
infinitesimal, definition of
cardioid
carrying
in addition
in multiplication
Cartesian
five-space
four-space
n-space
plane
three-space
celestial latitude and longitude
cell, in table
census, statistical
cent
centime
centimeter
centimeter squared
chain rule
change, counting out
check sum, in table
chord of circle
circle
area of
chord of
equation of, in Cartesian coordinates
equation of, in polar coordinates
radial of
radius of
as second-order curve
triangle inscribed in
classical mechanics
coefficient
in binomial expansion
in polynomial
in quadratic equation
in scientific notation
combination
common
antilogarithm
denominator, finding
exponential
inverse logarithm
logarithm
commutative law
for addition
for logical conjunction
for logical disjunction
for multiplication
compass
for drawing circles
magnetic
complementary
angles, definition of
outcomes
completing the square
complex logical operation
complex number
conjugate
cube roots and
definition of
division
multiplication
plane
rationalization
reciprocal of
theory of
composite unit
compound
logical operation
sentence
compressed polar coordinates
concave
downward
upward
concavity
cone
right circular
slant height of
surface area of
volume of
congruent triangles
conic section
definition of
geometry of
conjugate, complex
conjunction, logical
consequent
constant
derivative of
of integration
in polynomial
continuous variable, statistical
contradiction, logical
contrapositive, law of
convergence, rate of
converging sequence
convex
downward
upward
convexity
coordinate systems. See particular types
cosine
in coordinate system
definition of
derivative of
of difference between two angles
of double angle
function, graph of
of multiple angle
as ratio
of sum of two angles
cosines, law of
counter, mechanical
counting
systems of
in tens
zero in
cross product
extremes and
means and
in proportion or ratio
of vectors
cubic microsecond-equivalent
cumulative
absolute frequency, statistical
relative frequency, statistical
rounding error
cup
curve
bell-shaped
fitting
second-order
curved space
cylinder
right circular
surface area of
cylindrical coordinates
decillion, definition of
decimal
equivalent of fraction
number system
recurring
repeating
declination
degree measure of angle
De Morgan’s laws
denominator
common, finding
definition of
density function
dependent variable
definition of
in Cartesian plane
in Cartesian three-space
in polar coordinates
derivative
chain rule for
of constant
of cosine
of difference of two functions
of function multiplied by a constant
of function raised to a power
of position
of product of functions
of quotient of functions
reciprocal
of sine
of sum of two functions
difference of squares
differential calculus, definition of
differentiation
basics of
of polynomial
successive
dimension, definition of
direction
finding
of vector
directrix
discrete variable, statistical
disjunction, logical
distance
acceleration and
formulas, in n-space
measurement
speed and
distribution
normal
probability
statistical
uniform
distributive law, in logic
diverging geometric sequence
dividend, definition of
division
alternative notation for
approximate
basics of
checking by multiplication
by factors
long
remainder in
by repeated subtraction
in scientific notation
using calculator
divisor, definition of
dollar
domain of function
dot product of vectors
double
angle
negation, logical
dozen
dram
duodecimal number system
dyne, definition of
eccentricity
efficiency of motor
either-or operation, logical
ellipse
equation of, in Cartesian coordinates
equation of, in polar coordinates
focus property of
principal axes of
as second-order curve
semiaxes of
ellipsoid
elliptic geometry
empirical
evidence
probability
rule
energy
acceleration and
gravity as source of
kinetic
mechanical
potential
power and
speed and
storage by spring
transfer by spring
work and
“English”
length measurement
liquid measurement
weight measurement
equals sign in logic
equation
definition of
inequalities and
linear
manipulation of
quadratic
simultaneous
equatorial axis
equilateral triangle, definition of
equivalence, logical
erg
error, absolute
Euclid’s axioms
event
in probability
statistical
exclusive OR operation, logical
excursion, in spring system
expanding sequence
experiment, statistical
exponent
fractional
negative
plain-text
exponential
base
basic properties of
binary
common
comparisons
definition of
equation
vs. logarithm
natural
extremes, product of
factor
definition of
in division
finding, in quadratic
in multiplication
of quadratic
factorial
factorization
of number into product of primes
using difference of squares
farthing
first-year algebra
focus
foot-pound, definition of
foot-poundal, definition of
force
definition of
units of
weight as
work and
four-cone
four-cube
four-dimensional continuum
four-leafed rose
fox hunt
fractional
exponent
growth
fractions
adding
basics of
decimal equivalents of
as expression of proportion
factors and
how calculator handles
improper
numerators and denominators in
recurring decimals and
reducing
simplifying
subtracting
franc
frequency
absolute, statistical
distribution, statistical
natural
of oscillation
relative, statistical
resonant
of sine wave
function
definition of
derivative of, notation
domain of
range of
furlong
gallon
geodesic
geographic north
geometric
progression
sequence, converging
sequence, diverging
series
geometry
elliptic
Euclidean
hyperbolic
Lobachevskian
non-Euclidean
Riemannian
gill
googol, definition of
grade measure of angle
grain
gram
graph
bar
box
as error-finding aid
histogram
pie
pole of
simultaneous equations and
of trig functions
zero of
gravitational light cross
gravity, as energy source
Greenwich meridian
Grocer’s balance
grouped frequency distribution, statistical
grouping symbols
growth, fractional
harmonic
motion
progression
heading
hexadecimal number system
histogram
horizontal bar graph
hour, of right ascension
hundredweight
hyperbola
asymptotes of
definition of
eccentricity of
equation of, in Cartesian coordinates
equation of, in polar coordinates
semiaxes of
hyperbolic geometry
hypercone
hyperspace
hypervolume
hypotenuse
definition of
Pythagorean theorem and
IFF operation, logical
IF/THEN operation, logical
imaginary number
definition of
relationship to real numbers
implication
logical
reversal, law of
inch
inch squared
inclusive OR operation, logical
independent outcomes
independent variable
definition of
in Cartesian plane
in Cartesian three-space
in polar coordinates
indices
inequality
definition of
equations and
infinitesimal
calculus, definition of
change
inflection point
integral
definite
indefinite
integration
basics of
constant of
finding area using
interior angle
interpolation
intersection of sets
inverse logarithm
isosceles triangle
properties of
right
italics, variables and
jerk, definition of
j operator
joule
kilogram
kilometer
kilometer-equivalent
kinetic energy
large numbers, law of
laser ranging
latitude
celestial
terrestrial
law
of cosines
of large numbers
of sines
lemniscate
length measurement, “English,”
light cone
light-minute
light-second
light-year
linear
equation
measure
spring
liquid measurement
“English,”
subtraction of
Lobachevskian geometry
local
maximum
minimum
locally flat surface
logarithm
base
basic properties of
common
comparisons
conversions between bases
definition of
vs. exponential
Napierian
natural
logic
De Morgan’s laws
distributive law in
fuzzy
propositional, definition of
trinary
value
logical
AND operation
associative laws
commutative laws
conjunction
contradiction
disjunction
double negation
either-or operation
equivalence
exclusive OR operation
IFF operation
IF/THEN operation
implication
inclusive OR operation
negation
NOT operation
operation, compound or complex
operations, nesting of
operations, truth tables for
OR operation
precedence of operations
long
division
multiplication
longitude
celestial
terrestrial
magnetic
compass
north
magnitude
negative
orders of
of vector
major semiaxis of ellipse
mathematical
induction
probability
mathematician’s polar coordinates
maximum, local
mean, statistical
means, product of
mechanical
counter
energy
mechanics, classical
median, statistical
meridian
meter
meter stick
meter-equivalent
metric system
microsecond-equivalent
millimeter-equivalent
million, definition of
minimum, local
minor semiaxis of ellipse
minute-equivalent
mode, statistical
multiple
angle
outcomes
multiplicand, definition of
multiplication
in algebra
approximate
basics of
carrying in
commutative law for
by factors
long
in nondecimal systems
of polynomials
in scientific notation
subtraction as shortcut in
table
using calculator
of vector by scalar
zeros in
multiplier, definition of
mutually exclusive outcomes
nadir
nanosecond-equivalent
Napierian logarithm
natural
antilogarithm
exponential
frequency
inverse logarithm
logarithm
number
navigator’s polar coordinates
negation
double
logical
negative
curvature
number
radius, in polar coordinates
nesting, of logical operations
newton, definition of
Newtonian physics
nondecimal system
definition of
multiplication in
nondisjoint outcomes
non-Euclidean geometry
nonillion, definition of
nonlinear spring
normal distribution
north
geographic pole
magnetic pole
NOT operation, logical
number
complex
definition of
imaginary
line
natural
negative
real
systems
numeral
numerator, definition of
numeric term, in quadratic
obtuse
angle
triangle
octal number system
octillion, definition of
OR operation, logical
ordered
n-tuple
quadruple
quintuple
pair
triple
orders of magnitude
origin, of coordinate plane
oscillation
frequency of
in spring system
period of
ounce
of liquid measure
of weight
outcome
definition of
independent
parabola
equation of, in Cartesian coordinates
focus property of
as graph of motion
as graph of quadratic
as second-order curve
parabolic reflector
parallax
parallel
on earth’s surface
postulate, in geometry
parallelogram
area of
definition of
method of vector addition
perpendicular in
parameter, statistical
parentheses, as grouping symbols
parsec
partial product
partial sums
in addition of numbers
penny
pennyweight
percentage
definition of
increase and decrease
with money
period
of oscillation
of sine wave
permutation
phase, of sinusoid
pi, definition of
pie graph
pint
placeholder
plus-or-minus symbol
point of inflection
polar axis
polar coordinates
compressed
mathematician’s
navigator’s
vectors in
pole
geographic
of graph
magnetic
polygon
polynomial
constant in
definition of
differentiation of
factoring
multiplication of
population, statistical
population mean
positive curvature
potential energy
pound
poundal, definition of
power
acceleration and
energy and
precedence, of logical operations
prefix multipliers
prime factor
definition of
finding
prime meridian
prime numbers
principal axes, of ellipse
probability
complementary outcomes in
definition of
density function
distribution
empirical
empirical rule in
event in
independent outcomes in
law of large numbers in
mathematical
multiple outcomes in
mutually exclusive outcomes in
nondisjoint outcomes in
normal distribution in
outcome in
sample space in
uniform distribution in
product
definition of
partial
progression
arithmetic
geometric
harmonic
proper subset
proportion
proposition, definition of
propositional logic, definition of
pure imaginary number
pure real number
pyramid, volume of
Pythagoras of Santos
Pythagorean theorem
for right triangle
in trigonometry
quadrant
of circle
in coordinate system
measure of angle
quadratic equation
basics of
coefficients in
factors of
formula
numeric term in
solving
standard form of
quadrillion, definition of
quart
quarter, of weight
quartic
kilometer-equivalent
microsecond-equivalent
second-equivalent
quasar
quintillion, definition of
quotient accumulator
radar
radial of circle
radian measure of angle
radio direction finding
radiolocation
radionavigation
radius
of circle
negative, in polar coordinates
radix
random variable, statistical
range
of function
in polar coordinates
ranging, laser
real number
reciprocal
derivative
in simultaneous equations
rectangle
rectangular five-prism
five-space
four-prism
four-space
n-space
plane
three-space
recurring decimal
conversion to fraction
definition of
reductio ad absurdum
reference axis
in cylindrical coordinates
in polar coordinates
register
relative frequency, statistical
relativity theory
remainder, in division
repeating decimal
definition of
resonance, in system
resonant frequency
rhomboid
rhombus
Riemannian geometry
right
angle
ascension
circular cone
circular cylinder
isosceles triangle
triangle
right-hand rule for cross products
rounding
sample
mean
space
statistical
scalar, multiplication of vector by
“school” algebra
scientific notation
addition in
alternative form
American form
coefficient in
division in
European form
multiplication in
multiplication sign
orders of magnitude in
raising to a power in
significant figures in
standard form
subtraction in
taking a root in
second-equivalent
second-order curve
semiaxes
of ellipse
of hyperbola
semicircle
angle in
triangle inscribed in
semilog coordinates
sentence
compound
definition of
sequence
converging
diverging
definition of
expanding
series
arithmetic
definition of
set
definition of
element
intersection
union
sextillion, definition of
shilling
short ton
significant figures
in observed quantities
in scientific notation
similar triangles
simple harmonic motion
simultaneous equations
sine
in coordinate system
definition of
derivative of
of difference between two angles
of double angle
function, graph of
of multiple angle
as ratio
successive derivatives of
of sum of two angles
wave
sines, law of
sinusoid
sinusoidal motion
slant height, of cone
slope
maximum
minimum
space-time. See time-space
spatial dimension
speed
acceleration and
average
distance and
energy and
instantaneous
of light
in resonant system
time and
sphere
surface area of
volume of
spherical coordinates
spiral of Archimedes
spring
constant
energy storage and
energy transfer and
excursion in
linear
nonlinear
system, oscillation in
system, resonance in
square
centimeter
completing
inch
measure
as a number
as a polygon
root
square-law component
squares, difference of
stadimetry
statistic
statistics
absolute frequency in
bimodal distribution in
census in
continuous variable in
cumulative absolute frequency in
cumulative relative frequency in
definition of
discrete variable in
distribution in
event in
frequency distribution in
mean in
median in
mode in
parameter in
population in
population mean in
random variable in
relative frequency in
sample in
sample mean in
trimodal distribution in
stone
subset
substitution, in simultaneous equations
subtraction
approximate
basics of of
cash
as counting away
of liquid measures
as multiplication shortcut
in scientific notation
of weights
successive differentiation
supplementary angles, definition of
surd
symmetry, bilateral
tangent
in coordinate system
definition of, in trigonometry
of difference between two angles
of double angle
function, graph of
of multiple angle
as ratio
of sum of two angles
target, in radar
terrestrial latitude and longitude
tesseract
theorem, logical
theorem of Pythagoras
for right triangle
in trigonometry
three-leafed rose time
as a dimension
as displacement
speed and
time-space
ton
long
short
transposition
transversal
triangle
acute
angles in
area of
equilateral
inscribed in circle
inscribed in semicircle
obtuse
right
right isosceles
shape and size
vertex in
triangulation
trigonometry
applications
basic functions
calculations in
trillion, definition of
trimodal distribution, statistical
truncation
truth table
definition of
for logical operations
proofs
ungrouped frequency distribution, statistical
uniform distribution
union of sets
unit imaginary number
universal speed
variable
continuous, statistical
dependent
discrete, statistical
independent
italics for writing
logical
random, statistical
vector
addition
cross product
direction
direction angles
direction cosines
dot product
magnitude
multiplication by scalar
negative magnitude
in polar plane
right-hand rule for cross products
Venn diagram
vertex, in triangle
vertical bar graph
wedge, volume of
weight
avoirdupois
as force
measurement, “English,”
subtraction of
work
energy and
force and
gravitational measure of
units of
xy-plane
xyz-space
year-equivalent
zenith
zero
in counting
of graph
in multiplication
as placeholder
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