| +
| plus
|
| minus
|
| plus or minus
|
| sign of multiplication; multiplication sign
|
| sign of division; division sign
|
| ()
| round brackets; parentheses
|
| { }
| curly brackets; braces
|
| [ ]
| square brackets; brackets
|
| therefore
|
| since, because, for
|
| =
| approaches; is approximately equal
|
| ~
| equivalent, similar; of the order of
|
| ≌
| is congruent to; is isomorphic to
|
| ∝
| varies directly as
|
| a = b
| a equal b; a is equal to b
|
| a ≠ b
| a is not equal to b; a is not b
|
| a ≈ a
| approximately equals b
|
| a ± b
| a plus or minus b
|
| a > b
| a is greater than b
|
| a >> b
| a is substantially greater than b
|
| a < b
| a is less than b
|
| a << b
| a is substantially less than b
|
 > 
| a second is greater than a d-th
|
x = 
| x approaches infinity
|
x 
| x tends to infinity
|
a  b
| a is greater than or equals b
|
| p = q
| p is identically equal to q
|
| ! (n!)
| n factorial
|
| Laplacian
|
| a'
| a prime
|
| a''
| a double prime; a second prime
|
| a'''
| a triple prime
|
| a vector; the mean value of a
|
| the first derivative
|
| a third; a sub three; a suffix three
|
| a j th; a sub j product
|
| f prime sub (suffix) c; f suffix (sub) c, prime
|
| a second, double prime; a double prime, second
|
87  6'10''
| seven degrees six minutes ten second eighty
|
| a plus b is c; a plus b equals c; a plus b is equal to c; a plus b makes c
|
| a plus b all squared
|
| c minus b is a; c minus b equals a; c minus b is equal to a; c minus b leaves a
|
| bracket two x minus y close the bracket
|
| a b = c
| a time b is c; a multiplied by b equals c; a by b is equal to c
|
a = 
| a is equal to the ratio of e to l
|
 = ab
| ab squared (divided) by b equals ab
|
 = 0
| a divided by infinity is infinity small; a by infinity is equal to zero
|
| x plus or minus square root of x square minus y square all over y
|
| a: b = c
| a divided by b is c; a by b equals c; a by b is equal to c; the ratio of a to b is c
|
| a:b = c:d
| a to b is as c to d
|
| 1/2
| a (one) half
|
| 1/3
| a (one) third
|
| 1/4
| a (one) quarter; a (one) fourth
|
| 2/3
| two thirds
|
| 25/27
| twenty five fifty sevenths
|
| 2 1/2
| two and a half
|
| 1/273
| one two hundred and seventy third
|
| 0.5
| o [ou] point five; zero point five; nought point five; point five; one half
|
| 0.000001
| o [ou] point five noughts one
|
 = 3
| the cube root of twenty seven is three
|
| . the cube root of a
|
 = 2
| the fourth root of sixteen is two
|
| the fifth root of a square
|
 = 
| alpha equals the square root of capital R square plus x square
|
| the square root of 7 first plus capital A divided by two xa double prime
|
| a) dz over dx b) the first derivative of z with respect to x
|
| a) the second derivative of y with respect to x
b) d two y over d x square
|
 , 
| the nth derivative of y with respect to x
|
 = 0
| partial d two z over partial d  plus partial d two z over partial d  equals zero
|
| y = f(x)
| y is a function of x
|
| a) the integral from n to m
b) integral between limits n and m
|
| d over dx of the integral from x nought to x of capital X dx
|
| capital E is equal to the ratio of capital P divided by a to e divided by l is equal to the ratio of the product Pl to the product al
|
L = 
| capital L equals the square root out of capital R square plus minus x square
|
| gamma is equal to the ratio of the segment c prime c to the segment ac prime
|
| a to the m by nth power equals the nth root of (out of) a to the mth power
|
| the integral of dy divided by the square root out of c square minus y square
|
| capital F equals capital C sub (suffix) [mu] HIL sine theta
|
| a plus b over a minus b is equal to c plus d over c minus d
|
| V equals u square root of sine square i minus cosine square i equals u
|
| tangent r equals tangent i divided by l
|
| log 2 = 0.301
| the logarithm of two equals zero point three o[ou]one
|
| a cubed is equal to the logarithm of d to the base c
|
| four c plus W third plus two n first a prime plus capital R nth equals thirty three and one third
|
| capital P[pi:] sub (suffix) cr (critical) equals  [pai] square capital El all over four l square
|
| x + a is round brackets to the power p minus the r-th root of x all (in square brackets) to the minus q-th power minus s equals nothing (zero)
|
| open round brackets capital D minus r first close the round brackets open square and round brackets capital D minus r second close round brackets by y close square brackets equals open round brackets capital D minus r second close the round brackets open square and round brackets capital D minus r first close round brackets by y close square brackets
|
| u is equal to the integral of f sub one of x multiplied by dx plus the integral of f sub two of y multiplied by dy
|
| capital M is equal to capital R sub one multiplied by x minus capital P sub one round brackets opened x minus a sub one brackets closed minus capital P sub two round brackets opened x minus a sub two brackets closed
|
| a sub v is equal to m omega omega square alpha square divided by square brackets, r, p square m square plus capital R second round brackets opened capital R first plus omega square alpha square divided by rp round and square brackets closed
|
|  of z is equal to b, square brackets, parenthesis, z divided by c sub m plus 2, close parenthesis to the power m over m
minus 1, minus 1, close square brackets; b) of z is equal to b multiplied by the whole quantity; the quantity 2 plus z
over c sub m, to the power m over m minus 1, minus 1
|
| the absolute value of the quantity sub j of t one minus sub j of t two is less than or equal to the absolute value of the quantity M of t one minus  over j, minus M of  minus over j
|
| K is equal to the maximum over j of the sum from I equals one to I equals n of the magnitude of aij of t, where t lies in the closed interval ab and where j runs from one to n
|
| the limit as n becomes infinite of the integral of f of s and  of s plus delta n of s, with respect to s, from  to t, is equal to the integral of f of s and  of s, with respect to s, from to t
|
| ѱ sub n minus r sub s plus l of t is equal to p sub n minus r
sub s plus l, times e to the power of t times  sub q plus s
|
| L sub n adjoin of g is equal to minus 1 to the n, times the nth derivative of a sub zero conjugate times g, plus, minus one to the n minus 1, times the n minus first derivative of a sub one conjugate times g, plus… plus a sub n conjugate times g
|
| the partial derivative of F of lambda sub i of t and t, with respect to lambda, multiplied by lambda sub I prime of t, plus the partial derivative of F with arguments lambda sub I of t and t, with respect to t, is equal to zero
|
| the second derivative of y with respect to s, plus y, times the quantity 1 plus b of s, is equal to zero
|
| f of z is equal to  sub mk hat, plus big 0 of one over the absolute value of z, as absolute z becomes
infinite, with the argument of z equal to gamma
|
| D sub n minus 1 prime of x is equal to the product from s equal to zero to n of, parenthesis, 1 minus x sub s squared, close parenthesis, to the power epsilon minus 1
|
| K of t and x is equal to one over two i, times the integral of K of t and z, over w minus w of x, with respect to w along curve of the magnitude of w minus one half, is equal to rho [rou]
|
| the second partial (derivative) of u with respect to t + a to the fourth power, times the Laplacian of the Laplacian of u, is equal to zero, where a is positive
|
| D sub k of x is equal to one over two i, times integral to c plus I infinity of dzeta to the k of w, x to the w divided by w, with respect to w, where c is greater than 1
|
| set of functions holomorphic in D (function spaces)
|
| norm of f (function paces)
|
| distance between the sets  and  (curves, domains, regions)
|
| chordal distance of  and  (curves, domains, regions)
|
| Euclidean distance of and (curves, domains, regions)
|
| C is a simple closed rectifiable oriented curve (curves, domains, regions)
|
| the absolute value of z (complex variable)
|
| b is the imaginary part of a + bi (complex variables)
|
| a is the real part of a + bi (complex variables)
|
| the interior of S (set theory)
|
| ∂S
| the boundary of S
|
| the complement of S
|
| the derived set of a given set S
|
| closure of the set S
|
| union of sets C and D
|
| intersection of sets C and D
|
| B is a subset of A
|
| a is an element of the set A; a belongs to A
|
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