By Razvan A. Mezei
"An advent to SAGE Programming: With purposes to SAGE Interacts for Numerical equipment emphasizes easy methods to enforce numerical tools utilizing SAGE Math and SAGE Interacts and likewise addresses the basics of desktop programming, together with if statements, loops, capabilities, and interacts"--
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Additional resources for An introduction to SAGE programming : with applications to SAGE interacts for mathematics
Doing so, we can get to see the plot from different angles. Here is an example (the same plot as the one above, viewed from a different angle).
X is by declared by default! var('y') #solve([equations], variables to solve for) solve ([x+y==8, x-2*y==0] , x, y ) will output [[x == (16/3), y == (8/3)]] The next system has infinitely many solutions: #declare the variables that will be used # we can either use var('y,z') or we can use: var('y z') #then solve([equations], variables to solve for) solve ([x+y==8, x-2*z==0] , x, y,z ) will output [[x == r1, y == -r1 + 8, z == 1/2*r1]] The following system has no solutions: #declare the variables use.
15) Determine whether 22015 − 1 is prime or not. (16) Determine whether 42015 − 1 is prime or not. (17) Factor 3123 − 1. (18) Factor 5123 − 1. (19) Find the lcm and gcd for the following pair of whole numbers: 2030 − 1, 2015. (20) Find the lcm and gcd for the following pair of whole numbers: 305 − 1, 2200 . (21) Find the list of all divisors of 280 − 1. (22) Find the list of all divisors of 350 − 7. (23) What is the result of each of the following expressions? 0 • 9%6 (24) What is the result of each of the following expressions?
An introduction to SAGE programming : with applications to SAGE interacts for mathematics by Razvan A. Mezei