Difference between revisions of "Mathematica/Elementary"
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These are draft notes from [https://www.wolfram.com/wolfram-u/an-elementary-introduction-to-the-wolfram-language An Elementary Introduction to the Wolfram Language] | These are draft notes from [https://www.wolfram.com/wolfram-u/an-elementary-introduction-to-the-wolfram-language An Elementary Introduction to the Wolfram Language] | ||
| − | + | # Starting Out: Elementary Arithmetic (4:10) | |
| − | + | #* Shift-Enter to perform a calculation | |
| − | + | #* ^ for powers | |
| − | + | #* asterisk for multiplication or space if it is clear | |
| − | + | #* Keeps numbers as rational fractions if possible; converts to float with any floats involved | |
| − | + | # Introducing Functions (6:09) | |
| − | + | #* Commands use CamelCase | |
| − | + | #* Arguments in square brackets | |
| − | + | #* Colors: Blue=unknown command, purple=bracket mismatch | |
| − | + | #* Plus, Times, Power, Max, Min, RandomInteger | |
| − | + | # First Look at Lists (6:26) | |
| − | + | #* Usually with { } | |
| − | + | #* Edit->Extend Selection or CTRL-. will "grow" a selection to the next largest complete expression | |
| − | + | #* ListLinePlot, ListPlot, Reverse, Range, Join | |
| − | + | #** Range starts with 1 | |
| − | + | # Displaying Lists (4:54) | |
| − | + | #* CTRL-= for natural language input | |
| − | + | #* Graphics can be part of a list | |
| − | + | #* BarChart, PieChart, NumberLinePlot, Colulmn, | |
| − | + | # Operations on Lists (6:17) | |
| − | + | #* List math operations are element-wise | |
| − | + | #* [[ ]] will index from list | |
| − | + | #* Sort, Length, Total, First, Last, Part, Take, Drop, Count, IntegerDigits | |
| − | + | #** Mathematica is 1-indexed | |
| − | + | # Making Tables (9:34) | |
| − | + | #* Table | |
| − | + | #** Table[item, number of items to generate] | |
| − | + | #** Table[fcn[var], {var, start, end}] | |
| − | + | #** Table[fcn[var], {var, start, end, step}] | |
| − | + | #** Table[fcn[var], {var, {values}}] | |
| − | + | #* The video has "ListPlot[Range[0, 1, 0.02]-Range[0, 1, 0.02]^2]" but "ListPlot[Table[x - x^2, {x, Range[0, 1, 0.02]}]]" seems more efficient | |
| − | + | # Colors and Styles (7:22) | |
| − | + | #* Red, Green, Blue, ColorNegate, Blend, RGBColor, Hue, RandomColor | |
| − | + | #* Style takes an item along with information about color, size, and face | |
| − | + | # Basic Graphics Options (7:54) | |
| − | + | #* Graphics expression has graphics primitives that are changed by graphics directives | |
| − | + | #* Graphics, Circle, Disk, RegularPolygon, Graphics3D, Sphere, Cone | |
| − | + | #* Wrap graphics primitives with Style to change things | |
| − | + | #** Thickness, Opacity | |
| − | + | # Interactive Manipulation (7:30) | |
| + | #* Manipulate creates a selector; effectively picks items from a list but can continuously change if variable is continuous | ||
| + | #* Can manipulate multiple items | ||
| + | #** polyfit example? | ||
| + | #* ColorSetter | ||
| + | # Images (5:22) | ||
| + | #* Importing the sample file did not work for me, nor did CurrentImage[] so I just imported another jpg I had | ||
| + | #* Import, Blur, Binarize, EdgeDetect, DominantColors, ImageAdd, ImageCollage, ExampleData | ||
Revision as of 15:25, 8 June 2021
These are draft notes from An Elementary Introduction to the Wolfram Language
- Starting Out: Elementary Arithmetic (4:10)
- Shift-Enter to perform a calculation
- ^ for powers
- asterisk for multiplication or space if it is clear
- Keeps numbers as rational fractions if possible; converts to float with any floats involved
- Introducing Functions (6:09)
- Commands use CamelCase
- Arguments in square brackets
- Colors: Blue=unknown command, purple=bracket mismatch
- Plus, Times, Power, Max, Min, RandomInteger
- First Look at Lists (6:26)
- Usually with { }
- Edit->Extend Selection or CTRL-. will "grow" a selection to the next largest complete expression
- ListLinePlot, ListPlot, Reverse, Range, Join
- Range starts with 1
- Displaying Lists (4:54)
- CTRL-= for natural language input
- Graphics can be part of a list
- BarChart, PieChart, NumberLinePlot, Colulmn,
- Operations on Lists (6:17)
- List math operations are element-wise
- [[ ]] will index from list
- Sort, Length, Total, First, Last, Part, Take, Drop, Count, IntegerDigits
- Mathematica is 1-indexed
- Making Tables (9:34)
- Table
- Table[item, number of items to generate]
- Table[fcn[var], {var, start, end}]
- Table[fcn[var], {var, start, end, step}]
- Table[fcn[var], {var, {values}}]
- The video has "ListPlot[Range[0, 1, 0.02]-Range[0, 1, 0.02]^2]" but "ListPlot[Table[x - x^2, {x, Range[0, 1, 0.02]}]]" seems more efficient
- Table
- Colors and Styles (7:22)
- Red, Green, Blue, ColorNegate, Blend, RGBColor, Hue, RandomColor
- Style takes an item along with information about color, size, and face
- Basic Graphics Options (7:54)
- Graphics expression has graphics primitives that are changed by graphics directives
- Graphics, Circle, Disk, RegularPolygon, Graphics3D, Sphere, Cone
- Wrap graphics primitives with Style to change things
- Thickness, Opacity
- Interactive Manipulation (7:30)
- Manipulate creates a selector; effectively picks items from a list but can continuously change if variable is continuous
- Can manipulate multiple items
- polyfit example?
- ColorSetter
- Images (5:22)
- Importing the sample file did not work for me, nor did CurrentImage[] so I just imported another jpg I had
- Import, Blur, Binarize, EdgeDetect, DominantColors, ImageAdd, ImageCollage, ExampleData
