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Using SageMath with VoiceOver Mac OS 12 Monterey

SageMath, commonly known as Sage, is a free software system that can be used for doing numerical as well as symbolic mathematical computations. It is an accessible open source alternative to Maple, Mathematica, and Matlab. Sage uses a syntax that is very close to the syntax of Python.

Installation

Sage is accessible on a Mac computer using the VoiceOver screenreader in local from Terminal (see Using Terminal with VoiceOver).
Terminal is located in the Utilities folder of the Applications folder.
After Terminal is launched, a text field appears for entering a Terminal command.
To install Sage, assuming that the package manager Homebrew has already been installed on Terminal (see the Homebrew web page for installing Homebrew), type the command brew install sage.
Once Sage has been installed, type the command sage to launch Sage. After a moment, a text field appears with the prompt "Sage:", inviting to type a Sage command. Type a Sage command and then press the Return key to display the result.

Computations involving integers

Computations with Sage involving integers
Sage Command	Result	Description
`3* (2^10 -1)`	3069	3 times (2 to the 10 minus 1)
`factorial(10)`	3628800	factorial 10
`1055 % 11`	10	remainder of the Euclidean division of 1055 by 11
`1055//11`	95	quotient of the Euclidean division of 1055 by 11
`factor(60984)`	2^3 * 3^2 * 7 * 11^2	factorisation of 60984
`divisors(30)`	[1, 2, 3, 5, 6, 10, 15, 30]	divisors of 30
`number_of_divisors(9240)`	64	number of divisors of 9240
`euler_phi(72)`	24	number of positive integers up to 72 that are relatively prime to 72
`prime_divisors(168)`	[2, 3, 7]	prime divisors of 168
`valuation(18144,3)`	4	exponent of 3 in the factorisation of 18144
`next_prime(50)`	53	smallest prime number greater than 50
`previous_prime(168)`	167	greatest prime number smaller than 168
`next_prime_power(67)`	71	smallest prime power greater than 67
`previous_prime_power(37)`	32	greatest prime power smaller than 37
`prime_pi(100)`	25	number of primes smaller than 100
`2047 in Primes()`	False	2047 is not a prime
`8191 in Primes()`	True	8191 is a prime
`Primes().unrank(10)`	31	eleventh prime
`Prime_range(13,23)`	[13,17,19]	liste of primes in the interval [13,23)
`gcd(114,138)`	6	gcd of 114 and 138
`lcm(114,138)`	2622	lcm of 114 and 138
`xgcd(114,138)`	(6, -6, 5)	gcd and Bézout coefficients of (114,138)
`binomial(27,5)`	80730	number of subsets of cardinality 5 in a set of cardinality 27
`sigma(30,4)`	872644	sum of the fourth powers of the divisors of 30

SageMath Version : 8.8

Using SageMath with VoiceOver Mac OS 12 Monterey

Installation

Computations involving integers

Last update: June 22, 2024