Demonstration of the presentation generator capabilities

This file shows all the features of the slide generator: headings, text,
code, output, graphs, and two-column slides.

To run the example, call slides_compile(имя_файла.ngscript)

# SKIP
gr(fmt=:png, size=(400,400))

Plots.GRBackend()

If there is an image in the slide, it becomes the only element.

This text will not be included in the presentation.

And these are images and text.

Engee is a Russian platform for mathematical calculations and dynamic modeling

First section: text and formulas

Plain text with bold and italics and кодом inside the string.

Formulas are displayed in a simplified way:

As well as linear formulas:

A bit of code

x = range(0, 2π, length=100)
plot(x, sin.(x), label="sin(x)", lw=2, c=:blue)
plot!(x, cos.(x), label="cos(x)", lw=2, c=:red, ls=:dash)
title!("Trigonometric functions")
xlabel!("x")
ylabel!("y")

The second section: tables and code

using DataFrames
df = DataFrame(
    Метод = ["Euler", "Runge Kutta 2", "Runge Kutta 4"],
    Accuracy = [1e-2, 1e-4, 1e-8],
    Time = [0.01, 0.05, 0.15]
)
print(df)

3×3 DataFrame
 [1m Row [0m│ [1m Method [0m [1m Accuracy [0m [1m Time [0m
     │ String         Float64   Float64 
─────┼──────────────────────────────────
   1 │ Euler 0.01 0.01
   2 │ Runge-Kutta 2 0.0001 0.05
   3 │ Runge-Kutta 4 1.0e-8 0.15

Another option for displaying tables

using DataFrames
df = DataFrame(
    Метод = ["Euler", "Runge Kutta 2", "Runge Kutta 4"],
    Accuracy = [1e-2, 1e-4, 1e-8],
    Time = [0.01, 0.05, 0.15]
)
df

Third section: two-column slides

Advantages of the method:

High precision
Fast convergence
Sustainability

Disadvantages of the method:

Complexity of implementation
Memory requirements
Sensitivity to noise

Fourth section: code only

# A simple example of the algorithm
function bubble_sort!(a)
    n = length(a)
    for i in 1:n-1
        for j in 1:n-i
            if a[j] > a[j+1]
                a[j], a[j+1] = a[j+1], a[j]
            end
        end
    end
    return a
end

data = [5, 2, 8, 1, 9]
bubble_sort!(copy(data))

5-element Vector{Int64}:
 1
 2
 5
 8
 9

The fifth section: the image with the code

# On the left is the code for building a heat map, on the right is the graph itself.
# This is an example of how you can place the code and the result side by side.

x = range(-3, 3, length=100)
y = range(-3, 3, length=100)
f(x,y) = exp(-(x^2 + y^2))
contour(x, y, f, fill=true, title="The Gaussian function")

Slide with the image in the center

# CODE_SKIP
x = range(-3, 3, length=100)
y = range(-3, 3, length=100)
f(x,y) = exp(-(x^2 + y^2))
contour(x, y, f, fill=true, title="The Gaussian function")

And the same goes for the text after the image.

# CODE_SKIP
x = range(-3, 3, length=100)
y = range(-3, 3, length=100)
f(x,y) = exp(-(x^2 + y^2))
contour(x, y, f, fill=true, title="The Gaussian function")

On the left is the code for building a heat map, on the right is the graph itself.
This is an example of how you can place the code and the result side by side.

Conclusion

The generator supports:

Three-level headings
Text with formatting
LaTeX formulas (inline and display)
Code cells with output
Graphs with captions
Tables with names
Two-column slides
Hiding the code (#CODE_SKIP)
Skipping cells (#SKIP)

and many other designs!

Row	Метод	Точность	Время
	String	Float64	Float64
1	Эйлер	0.01	0.01
2	Рунге-Кутта 2	0.0001	0.05
3	Рунге-Кутта 4	1.0e-8	0.15