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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 --cask 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 : 10.4

Using SageMath with VoiceOver Mac OS 12 Monterey

Installation

Computations involving integers

Last update: September 27, 2024