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Overview of the NaturalLanguage Package

 

Description

List of NaturalLanguage Package Commands

Examples

References

Compatibility

Description

• 

The NaturalLanguage package offers an interface to explore using large language models such as ChatGPT for processing natural language in Maple.

• 

Before using this package, you need to agree to the terms of use.

To agree to the terms of use:

1. 

In the Maple Standard Interface, on the left side of the Maple window, click the AI Formula Assistant tab.

2. 

Click AI Terms of Use.

3. 

Read and accept the terms and click Apply Globally. Now the functionality in both the AI Formula Assistant and the NaturalLanguage package is enabled.

  

Note: Large language models often generate inaccurate statements. Please keep this in mind: this is not technology for building a bridge with.

List of NaturalLanguage Package Commands

• 

The package contains the following commands.

Dialog

complete a sequence of messages sent to a large language model

Explain

ask a large language model to explain a concept

GenerateDocument

generate a document using a large language model

GetCommand

ask a large language model to find a Maple command

GetMath

ask a large language model a question to be answered with math

Query

ask a large language model to answer a question in English and math

RawQuery

send a query directly to a large language model

• 

Before using any of the commands in this package, you need to review and agree to the AI Terms of Use. You can do so in Maple's Standard GUI, in two ways:

– 

Open the Options dialog using the menus (the linked help page describes how).

– 

Ensure the General tab is active.

– 

Select the button labeled AI: Terms of Use.

– 

Read and accept the terms.

  

Alternatively:

– 

Open the pane on the left hand side of the main window, if it is closed.

– 

Select the AI Formula Assistant tab.

– 

Select the button labeled AI Terms of Use.

– 

Read and accept the terms.

Examples

withNaturalLanguage

Dialog,Explain,GenerateDocument,GetCommand,GetMath,Query,RawQuery

(1)

If you have not agreed to the AI Terms of Use, you will see an error message when you use the NaturalLanguage package. (The error message varies according to the platform and the interface you use, so it may look slightly different when you receive it.)

RawQueryplot sin(x) in maple

Error, (in NaturalLanguage:-RawQuery) before using the NaturalLanguage package, you need to review and agree to the AI Terms of Use. You can do so by opening the Options dialog under the File menu, selecting the General tab, and selecting AI Terms of Use.

Once you agree to the AI Terms of Use, this error does not occur.

RawQueryPlot sin(x) in maple,model=O1Mini

To plot the sine function \( \sin(x) \) in Maple, you can use the `plot` command, which is a powerful tool for creating graphical representations of mathematical functions. Below are the steps and sample code to help you generate the plot: ## Step-by-Step Guide 1. **Start Maple:** Open your Maple software to access the command interface where you can enter the necessary commands. 2. **Use the `plot` Command:** The basic syntax for plotting a function in Maple is: ```maple plot(function, variable_range); ``` For the sine function, it would look like this: ```maple plot(sin(x), x = a..b); ``` Here, `a` and `b` define the range of the variable \( x \) over which you want to plot the function. 3. **Specify the Range:** It's common to plot trigonometric functions like sine over an interval that covers multiple periods to capture their repeating nature. A typical choice is from \( -2\pi \) to \( 2\pi \). 4. **Enhance the Plot (Optional):** You can add titles, labels, and other styling options to make the plot more informative and visually appealing. ## Sample Maple Code Here's a complete example that plots \( \sin(x) \) from \( -2\pi \) to \( 2\pi \) with additional customization: ```maple # Define the range for x start := -2*Pi: end := 2*Pi: # Plot sin(x) with customization plot(sin(x), x = start..end, title = "Plot of sin(x)", labels = ["x", "sin(x)"], color = blue, thickness = 2, style = line); ``` ### Explanation of the Code: - **Defining the Range:** ```maple start := -2*Pi: end := 2*Pi: ``` These lines set the lower and upper bounds for \( x \) to \( -2\pi \) and \( 2\pi \), respectively. - **Plot Command:** ```maple plot(sin(x), x = start..end, ...) ``` This command tells Maple to plot the sine function within the specified range. - **Customizations:** - `title = "Plot of sin(x)"`: Adds a title to the graph. - `labels = ["x", "sin(x)"]`: Labels the x-axis and y-axis. - `color = blue`: Sets the color of the sine curve to blue. - `thickness = 2`: Makes the curve thicker for better visibility. - `style = line`: Plots the function as a continuous line. ## Result Executing the above code in Maple will generate a graph of \( \sin(x) \) spanning from \( -2\pi \) to \( 2\pi \), complete with axis labels, a title, and a neatly styled sine curve. ## Additional Tips - **Dynamic Exploration:** You can use Maple's interactive features to zoom in and out of different sections of the plot or to explore how changes to parameters affect the graph. - **Multiple Functions:** To plot multiple functions on the same graph, you can list them within the `plot` command. For example: ```maple plot([sin(x), cos(x)], x = -2*Pi..2*Pi, labels = ["x", "Function"], legend = ["sin(x)", "cos(x)"]); ``` - **Exporting the Plot:** After creating the plot, you can export it in various formats (e.g., PNG, PDF) using Maple's export features for use in reports or presentations. By following these steps and utilizing the sample code, you should be able to successfully plot \( \sin(x) \) in Maple and customize it to suit your needs.

(2)

QueryWhat is Pythagoras' Theorem?

Pythagoras' Theorem states that in a right‐angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

a2+b2=c2

(3)

GetMathWhat is the resistance of five resistors connected in parallel?

Req=11R1+1R2+1R3+1R4+1R5

(4)

GetCommandWhat's the command for numerical equation solving?

fsolveequation,variable

(5)

Explainx2+y2=1

The equation x² + y² = 1 is most commonly associated with the unit circle in the Cartesian coordinate system. It represents all the points (x, y) that are exactly one unit away from the origin (0, 0). This equation is fundamental in many areas of math, especially in trigonometry, where the unit circle helps define the sine and cosine functions.

(6)

References

  

The OpenAI website.

Compatibility

• 

The NaturalLanguage package was introduced in Maple 2024.

• 

For more information on Maple 2024 changes, see Updates in Maple 2024.


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