Phrasebook
Now that you know all the names for mathematical symbols, it's high time to use them to build up longer phrases!
Click on the name of the folder of your interest to read and listen to complex phrases from all areas of mathematics.
Słowniczek Wyrażeń
Teraz gdy już znasz wyrazy opisujące matematyczne symbole, nadszedł czas na składanie ich w dłuższe wypowiedzi!
Kliknij na tytuł katalogu który Cię interesuje, żeby czytać i słuchać skomplikowanych wyrażeń z różnych dziedzin matematyki.
Elementary operations  

a is equal to b  
a equals b  
a is not equal to b  
a doesn't equal b  
a is less than b  
a is less than or equal to b  
a is greater than b  
a is greater than or equal to b  
a plus b is c  
a plus b is equal to c  
a plus b equals c  
a plus b makes c  
a plus b is less than c  
a minus b is c  
a minus b is equal to c  
a minus b equals c  
a minus b makes c  
a times b is c  
a by b is equal to c  
a multiplied by b equals c  
a times b makes c  
a divided by b equals c  
a over b makes c  
open bracket, two a minus three b, close bracket  
a times b square over b equals a times b  
a plus b square all divided by c  
the square root of a plus b square all divided by c  
a plus b all square equals c  
a divided by infinity equals zero 
Powers and Suffixes  

a square  
a (raised) to the second power  
a cube  
a (raised) to the third power  
a to the minus tenth power  
a to the nth power  
square root of a  
fifth root of a  
a prime  
a double prime  
a tripple prime  
a first  
a sub one  
a suffix one  
a second  
a sub two  
a suffix two  
a nth  
a sub n  
a suffix n 
Numbers  

a ratio of two and three  
two to three is as four to six  
one half  
one third  
one fourth  
one quarter  
three fourths  
three quarters  
two fifths  
twenty five twenty sevenths  
one over two hundred seventy three  
two and a half  
three and one sixth  
o [ou] point five  
two point three four five  
minus one point o [ou] o [ou] four 
Elementary Functions  

y is a function of x  
y equals f of x  
y equals sine of x  
y equals cosine of x  
y equals tangent of x  
y equals cotangent of x  
y equals arcus sine of x  
y equals arcus cosine of x  
y equals arcus tangent of x  
y is an exponent of x  
y equals the logarithm of x  
y equals the logarithm of x to the third base  
y equals the natural logarithm of x  
the limit of f, as x approaches infinity, is equal to 5  
f of x converges to 5 as x tends to infinity  
as x approaches pi, the sine function approaches zero  
function f has a righthandside limit 3 as x approaches 7  
f approaches 3 as x approaches 7 from the righthandside  
function f has a lefthandside limit 1 as x approaches 2  
f approaches 1 as x approaches 2 from the lefthandside 
Derivatives and Integrals  

f prime of x  
the first derivative of f  
f double prime of x  
the second derivative of f  
dy over dx  
the first derivative of (function) y with respect to (variable) x  
d two y over dx squared  
the second derivative of y with respect to x  
the n'th derivative of y with respect to x  
partial d two z over partial dx square plus partial d two z over partial dy square equals zero  
integral of f of x times dx  
integral from a to b of f of x dx  
integral of dy divided by the square root of one minus y square  
double integral of f of x and y dx, dy, over domain D  
double integral on D of f of x and y with respect to x first  
tripple integral on T of f of x, y and z with respect to x first and y second 
Complex formulas  

capital V equals u square root of sine square i plus cosine square i equals u 

four c plus capital W third plus two n first a prime capital R sub n equals thirty three and one third 

capital P sub c r equals pi square times capital E sub l all over four l square 

x plus a in round brackets to the power p minus the r'th root of x all in square brackets to the power of minus q minus s equals 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 the round brackets, times y, close the 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 x multiplied by dy 

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 r p, round and square brackets closed 

capital K is equal to the maximum over j of the sum from i equals one to n of the modulus of a sub i j of t, where t lies in the closed interval a b and where j runs from one to n 

the limit, as n becomes infinite, of the integral of f of s and psi sub n of s plus delta n of s with respect to s, from tau to t, is equal to the integral of f of s and psi of s, with respect to s, from tau to t 

f of z is equal to psi hat plus capital theta times the modulus of z to minus first power, as the absolute value of z becomes infinite, with the argument of z equal to gamma 

D sub n minus one of x equals the product fom s equal to zero to n of, parenthesis, one minus x sub s squared, close parenthesis, to the power of epsilon minus one 