Using the yacas command (with examples)
Starting an interactive yacas session
To start an interactive session with the yacas command, simply run:
yacas
This command will launch the yacas prompt, allowing you to execute statements and perform algebraic calculations directly in the terminal.
Executing a statement in a yacas session
While in a yacas session, you can execute statements to perform various mathematical operations. For example, to integrate the function x * cos(x), you can run:
Integrate(x)*Cos(x);
In the above command, Integrate is a function in yacas used for integration, and Cos is a function for cosine. The * operator is used for multiplication. The output of this command will be the result of the integration.
Displaying an example in a yacas session
In yacas, you can display examples to learn about different features and functionalities. To display an example, use the following command while in a yacas session:
Example();
Executing this command will output a randomly selected example from the yacas library. These examples can be useful in learning how to use different functions and techniques in yacas for various algebraic calculations.
Quitting from a yacas session
To exit from a yacas session, simply run the following command:
quit
This command will terminate the yacas prompt and return you to the terminal.
Executing yacas scripts and exiting
If you have multiple yacas scripts that you want to execute without being prompted in the terminal, you can use the following command:
yacas -p -c path/to/script1 path/to/script2
In this command, -p specifies silent mode, where no prompts are displayed during execution, and -c indicates executing the specified scripts. Replace path/to/script1 and path/to/script2 with the actual paths to your yacas script files. This command allows you to automate the execution of multiple scripts consecutively.
Executing and printing the result of a statement
To execute a single yacas statement and print the output to the terminal without entering the interactive yacas session, you can use the following command:
echo "Echo( Deriv(x)*Cos(1/x) );" | yacas -p -c /dev/stdin
In this command, echo is used to pass the statement as input, Echo is a yacas function that prints the result, Deriv is a function for differentiation, and /dev/stdin represents the standard input from the echo command. The output of this command will be the result of the differentiation of x * cos(1/x).
Code examples
Starting an interactive yacas session
yacas
Executing a statement in a yacas session
Integrate(x)*Cos(x);
Displaying an example in a yacas session
Example();
Quitting from a yacas session
quit
Executing yacas scripts and exiting
yacas -p -c path/to/script1 path/to/script2
Executing and printing the result of a statement
echo "Echo( Deriv(x)*Cos(1/x) );" | yacas -p -c /dev/stdin
The examples provided demonstrate various use cases of the yacas command. By starting an interactive yacas session, you can explore and perform algebraic calculations directly in the terminal. Executing statements and displaying examples within the session offers a hands-on experience with the capabilities of the yacas system.
Quitting from a yacas session is necessary once you have completed your calculations. However, if you have multiple yacas scripts that need to be executed sequentially, the command to execute scripts with silent mode allows for automation of the process.
Finally, if you only need the result of a single yacas statement without entering the interactive session, the command to execute and print the output of a statement offers a convenient way to obtain the desired result.
These examples demonstrate the versatility of the yacas command and how it provides a powerful tool for algebraic calculations and symbolic manipulation. Whether you are performing integrations, differentiations, or exploring various examples, yacas can assist you in your mathematical endeavors.
