76 lines
2.5 KiB
Plaintext
76 lines
2.5 KiB
Plaintext
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# Usages of Unicode symbols
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```{julia}
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#| echo: false
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import Logging
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Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
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Logging.disable_logging(Logging.Warn)
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import SymPy
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function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
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println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
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println(io, "\\[")
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println(io, sympy.latex(x))
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println(io, "\\]")
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println(io, "</span>")
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end
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# hack to work around issue
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import Markdown
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import CalculusWithJulia
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function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
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nm = joinpath("..", string(d), f)
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u = ""
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Markdown.parse(u)
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end
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nothing
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```
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`Julia` allows the use of *Unicode* symbols to replace variable names and for function calls. Unicode operations are entered in this pattern `\name[tab]`. That is a slash, `\`, the name (e.g., `alpha`), and then a press of the `tab` key.
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In these notes, the following may appear as variable or function names
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| `\Name` | Symbol | Usage notes |
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|:-------- |:------ |:------------------------------- |
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| `\euler` | `ℯ` | The variable `e` |
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| `\pi` | `π` | |
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| `\alpha` | `α` | |
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| `\beta` | `β` | |
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| `\delta` | `δ` | |
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| `\Delta` | `Δ` | Change, as in `Δx` |
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| `\gamma` | `γ` | |
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| `\phi` | `ϕ` | |
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| `\Phi` | `Φ` | Used for parameterized surfaces |
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| `x\_1` | `x₁` | Subscripts |
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| `r\vec` | `r⃗` | Vector annotation |
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| `T\hat` | `T̂` | Unit vector annotation |
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The following are associated with derivatives
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| `\Name` | Symbol | Usage notes |
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|:---------- |:------ |:--------------------------- |
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| `\partial` | `∂` | |
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| `\nabla` | `∇` | del operator in CwJ package |
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The following are *infix* operators
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| `\Name` | Symbol | Usage notes |
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|:-------- |:------ |:------------- |
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| `\circ` | `∘` | composition |
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| `\cdot` | `⋅` | dot product |
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| `\times` | `×` | cross product |
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Infix operators may need parentheses due to precedence rules. For example, to call a composition, one needs `(f ∘ g)(x)` so that composition happens before function evaluation (`g(x)`).
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