Examples by Topic

Numbers

 
Mathematics
Numbers
compute properties of an integer

28

do exact arithmetic with integers

141(2^141) + 1

compute a prime factorization

factor 70560

compute properties of a rational number

12/17

compute the exact value of a repeating decimal

.03571428571428...

compute properties of an irrational number

sqrt(13)

determine whether a number is irrational

Is cbrt(3) an irrational number?

determine whether a number is algebraic

Is sin(pi/17) an algebraic number?

identify algebraic integers and units

Is 1/(1+sqrt(5)) an algebraic integer?

determine whether a number is transcendental

Is sqrt(2)^sqrt(2) transcendental?

get information about a transcendental number

Champernowne constant

do basic arithmetic on complex numbers

1/(12+7i)

find roots of complex numbers

(1+i)^(1/5)

apply functions to complex numbers

exp(24+2i)

do exact arithmetic with large numbers

1927508279017230597 + 278789278723478925

find a decimal approximation

(1+e)/2

compute a decimal approximation to a specified number of digits

pi to 1000 digits

compute the value of a mathematical constant

feigenbaum alpha

do computations involving constants

golden ratio - 1/(golden ratio)

find possible closed forms for an approximate number

-0.283882181415

represent an approximate number in terms of specified constants

express 4.8675 through pi and e

visualize a set of real numbers on a number line

number line 2, 3, 5, 7, 11, 13

show multiple sets on a number line

number line x^2>5, 0<=x<3

compute properties of an interval of real numbers

[3,8)

compare intervals

intervals [0,1), (1,oo)

convert a decimal number to another base

1275 to base 7

convert a number in a given base to decimal

100011010 base 2

do mixed-base computations

(28 base 16) + (30 base 5)

do computations with Roman numerals

XLVIII + LXXII

convert a decimal number to Mayan numerals

365 to Mayan

find the English name of a large number

10^39

specify a number by name

49 tredecillion