Editing Maths (section)

=Notation and Symbols=

==Alphanumeric==
* '''Superscript:''' 𝓍⁰¹²³⁴⁵⁶⁷⁸⁹ ⁺⁻⁼⁽⁾ ᵃᵇᶜᵈᵉᶠᵍʰⁱʲᵏˡᵐⁿᵒᵖʳˢᵗᵘᵛʷˣʸᶻ ᴬᴮᴰᴱᴳᴴᴵᴶᴷᴸᴹᴺᴼᴾᴿᵀᵁⱽᵂ 
* '''Subscript:''' 𝓍₀₁₂₃₄₆₇₈₉ ₊₋₌₍₎ ₐₑₒₓₔₕₖₗₘₙₚₛₜ ᵢᵣᵤᵥₓ ᵦᵧᵨᵩᵪ
* '''Blackboard Bold:''' 𝔸𝔹ℂ𝔻𝔼𝔽𝔾ℍ𝕀𝕁𝕂𝕃𝕄ℕ𝕆ℙℚℝ𝕊𝕋𝕌𝕍𝕎𝕏𝕐ℤ 𝕒𝕓𝕔𝕕𝕖𝕗𝕘𝕙𝕚𝕛𝕜𝕝𝕞𝕟𝕠𝕡𝕢𝕣𝕤𝕥𝕦𝕧𝕨𝕩𝕪𝕫 𝟘𝟙𝟚𝟛𝟜𝟝𝟞𝟟𝟠𝟡 ℾℽℿℼ⅀ ⅅⅆⅇⅈⅉ
* '''Script:''' 𝒜ℬ𝒞𝒟ℰℱ𝒢ℋℐ𝒥𝒦ℒℳ𝒩𝒪𝒫𝒬ℛ𝒮𝒯𝒰𝒱𝒲𝒳𝒴𝒵 𝒶 𝒷 𝒸 𝒹 ℯ 𝒻 ℊ 𝒽 𝒾 𝒿 𝓀 𝓁 𝓂 𝓃 𝓅 𝓆 𝓇 𝓈 𝓉 𝓊 𝓋 𝓌 𝓍 𝓎 𝓏
* '''Script (Bold):''' 𝓐𝓑𝓒𝓓𝓔𝓕𝓖𝓗𝓘𝓙𝓚𝓛𝓜𝓝𝓞𝓟𝓠𝓡𝓢𝓣𝓤𝓥𝓦𝓧𝓨𝓩𝓪𝓫𝓬𝓭𝓮𝓯𝓰𝓱𝓲𝓳𝓴𝓵𝓶𝓷𝓸𝓹𝓺𝓻𝓼𝓽𝓾𝓿𝔀𝔁𝔂𝔃 
* '''Fraktur:''' 𝔄𝔅ℭ𝔇𝔈𝔉𝔊ℌℑ𝔍𝔎𝔏𝔐𝔑𝔒𝔓𝔔ℜ𝔖𝔗𝔘𝔙𝔚𝔛𝔜ℨ𝔞𝔟𝔠𝔡𝔢𝔣𝔤𝔥𝔦𝔧𝔨𝔩𝔪𝔫𝔬𝔭𝔮𝔯𝔰𝔱𝔲𝔳𝔴𝔵𝔶𝔷
* '''Fraktur (Bold):''' 𝕬𝕭𝕮𝕯𝕰𝕱𝕲𝕳𝕴𝕵𝕶𝕷𝕸𝕹𝕺𝕻𝕼𝕽𝕾𝕿𝖀𝖁𝖂𝖃𝖄𝖅𝖆𝖇𝖈𝖉𝖊𝖋𝖌𝖍𝖎𝖏𝖐𝖑𝖒𝖓𝖔𝖕𝖖𝖗𝖘𝖙𝖚𝖛𝖜𝖝𝖞𝖟
* '''Serif (Bold):''' 𝐀𝐁𝐂𝐃𝐄𝐅𝐆𝐇𝐈𝐉𝐊𝐋𝐌𝐍𝐎𝐏𝐐𝐑𝐒𝐓𝐔𝐕𝐖𝐗𝐘𝐙𝐚𝐛𝐜𝐝𝐞𝐟𝐠𝐡𝐢𝐣𝐤𝐥𝐦𝐧𝐨𝐩𝐪𝐫𝐬𝐭𝐮𝐯𝐰𝐱𝐲𝐳
* '''Sans-serif:''' 𝖠𝖡𝖢𝖣𝖤𝖥𝖦𝖧𝖨𝖩𝖪𝖫𝖬𝖭𝖮𝖯𝖰𝖱𝖲𝖳𝖴𝖵𝖶𝖷𝖸𝖹𝖺𝖻𝖼𝖽𝖾𝖿𝗀𝗁𝗂𝗃𝗄𝗅𝗆𝗇𝗈𝗉𝗊𝗋𝗌𝗍𝗎𝗏𝗐𝗑𝗒𝗓
* '''Sans-Serif (Bold):''' 𝗔𝗕𝗖𝗗𝗘𝗙𝗚𝗛𝗜𝗝𝗞𝗟𝗠𝗡𝗢𝗣𝗤𝗥𝗦𝗧𝗨𝗩𝗪𝗫𝗬𝗭𝗮𝗯𝗰𝗱𝗲𝗳𝗴𝗵𝗶𝗷𝗸𝗹𝗺𝗻𝗼𝗽𝗾𝗿𝘀𝘁𝘂𝘃𝘄𝘅𝘆𝘇
* '''Mathematical Italic:''' 𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻𝐼𝐽𝐾𝐿𝑀𝑁𝑂𝑃𝑄𝑅𝑆𝑇𝑈𝑉𝑊𝑋𝑌𝑍𝑎𝑏𝑐𝑑𝑒𝑓𝑔ℎ𝑖𝑗𝑘𝑙𝑚𝑛𝑜𝑝𝑞𝑟𝑠𝑡𝑢𝑣𝑤𝑥𝑦𝑧𝛩
* '''Mathematical Italic (bold):''' 𝑨𝑩𝑪𝑫𝑬𝑭𝑮𝑯𝑰𝑱𝑲𝑳𝑴𝑵𝑶𝑷𝑸𝑹𝑺𝑻𝑼𝑽𝑾𝑿𝒀𝒁𝒂𝒃𝒄𝒅𝒆𝒇𝒈𝒉𝒊𝒋𝒌𝒍𝒎𝒏𝒐𝒑𝒒𝒓𝒔𝒕𝒖𝒗𝒘𝒙𝒚𝒛
* ıȷ

* [https://en.wikipedia.org/wiki/Mathematical_Alphanumeric_Symbols Wikipedia: Mathematical Alphanumeric Symbols].
* [https://www.compart.com/en/unicode/block/U+1D400?page=3 more greek italics here]
* [https://en.wikipedia.org/wiki/Unicode_subscripts_and_superscripts wikipedia]

==Links==
* [http://homepages.math.uic.edu/~jyang06/stat401/handouts/handout2.pdf helpful pdf]
* [https://meta.wikimedia.org/wiki/Help:Displaying_a_formula#Derivatives MediaWiki: Displaying a formula]
* [https://www.mediawiki.org/wiki/Extension:Math MediaWiki: Extension:Math]
* [https://en.wikipedia.org/wiki/Mathematical_operators_and_symbols_in_Unicode Wikipedia: Mathematical operators and symbols in Unicode].
* [https://en.wikipedia.org/wiki/List_of_mathematical_symbols Wikipedia: List of mathematical symbols].
* [https://en.wikipedia.org/wiki/List_of_mathematical_symbols_by_subject Wikipedia: List of mathematical symbols by subject]
* [http://www.rapidtables.com/math/symbols/Basic_Math_Symbols.htm RapidTables - Mathematical Symbols].
* [http://xahlee.info/comp/unicode_math_font.html Unicode Math Font].
* [https://en.wikipedia.org/wiki/List_of_logic_symbols Wikipedia: List of logic symbols]
* [http://unicode.org/notes/tn28/UTN28-PlainTextMath.pdf unicode.org] - This is weird
* [http://www.unicode.org/reports/tr25/ unicode.org - UNICODE SUPPORT FOR MATHEMATICS]
* [https://www.tug.org/TUGboat/Articles/tb18-1/tb54becc.pdf Some ISO standard]
* [http://sites.psu.edu/symbolcodes/accents/math/mathchart/ mathchart]

===Latex===
* [http://www.sas.rochester.edu/psc/thestarlab/help/latextut2.pdf latex Tutorial PDF]
* [https://www.cl.cam.ac.uk/~mgk25/ucs/examples/TeX.txt TeX codes for various Unicode 3.2 characters]
* [http://matplotlib.org/users/mathtext.html Matplotlib: mathtext]

==Operations==
[https://en.wikipedia.org/wiki/Mathematical_operators_and_symbols_in_Unicode Wikipedia: Mathematical operators and symbols in Unicode]

[https://en.wikipedia.org/wiki/Supplemental_Mathematical_Operators Wikipedia: Supplemental Mathematical Operators]

* ⊕ - XOR. Direct Sum.
* ⊖ - Symmetric difference.
* ⊗ - [https://en.wikipedia.org/wiki/Tensor_product Tensor product]. 
* ⊘ - 
* ⊙ - Circled dot operator. ⨀ n-ary circled dot operator.
* ∗ - Astrisk Operator. Also ✱.
* ∘ - Function composition. Ring operator. (Also ∙ bullet operator)
* ⋈ - Natural join.
* ⋆ - Star Operator.
* ζ(s) - The Riemann zeta function.
* Arithmetic: − + ± × ⋅ · ÷ ⁄ √ ∛ ∜

<math>f(x) = x^2\,</math>

==Calculus==
* ∆ - ∆x change in x. Sometimes symmetric difference.
* ∇ - Gradient.
* ∂ - Partial Derivative.
* ∫ ∬ ∭ ∮ ∯ ∰ - Integrals (double+triple). ∮ ∯ ∰ - Contour, surface and volume integrals. ∱ ∲ ∳ - Clockwise integral, clowise contour integral. [http://www.fileformat.info/info/unicode/block/mathematical_operators/images.htm]

==Other==
* ≠ ≈ ≡ ∀ ∃ ∄ ∧ ∨ ¬ ≤ ≥ ≮ ≯ ⇔ ⇒ ∈ ∉ ∌ ∩ ∪ ⊃ ⊂ ⊇ ⊆ ⊢ ⋂ ⋃
* '''∈''' 'is an element of', '''∉''' 'is not an element of', '''∌''' does not contain as a member
* ◅ ▻ - Normal sub group of. ⟨ ⟩ generator.
* x′ - x prime.

* Misc: ∑ π φ ℵ ℶ ω ∞ ∴ ∵ ! ∎ → ↦ ㏒ * ∥ ∦ θ

* 𝓋⃗, v⃗ - Vector 𝓋 + (U+20D7).
* ∅ - Empty set
* δ - [https://en.wikipedia.org/wiki/Kronecker_delta Kronecker Delta]
* ∏ - Product over (Like ∑). ∐ for [https://en.wikipedia.org/wiki/Coproduct coproduct].
* '''⊤ / ⊥''' - True / False
* '''∖''' - Set minus.
* '''σ''' - Selection
* '''↔⇔≡''' - If and only if.
* '''⇒''' - If A is true then B must be true.
* '''ℜ(z)''', '''ℑ(z)''' - Return the real & imaginary parts of a complex number.
* {♠, ♦, ♥, ♣} 
* '''↪''' - [https://en.wiktionary.org/wiki/%E2%86%AA Embedding]... 𝒻: 𝐗↪𝐘. 𝒻 is the identity map, taking 𝓍∈𝐗 to 𝓍∈𝐘 and 𝐗⊂𝐘. Maybe 'lift'.
* '''↣''' - 𝒻: 𝐗↣𝐘 is an injective function from 𝐗 to 𝐘. '''Injection'''.
* '''↠''' - 𝒻: 𝐗↠𝐘, [https://en.wiktionary.org/wiki/↠ ↠ is a surjection] ([https://math.stackexchange.com/questions/46678/what-are-usual-notations-for-surjective-injective-and-bijective-functions possibly] only an 'onto' '''surjection'''. See also [https://en.wikipedia.org/wiki/Surjective_function#Definition this.] and [http://homepages.math.uic.edu/~jyang06/stat401/handouts/handout2.pdf pdf]
* '''≡''' - '''Congruence'''. 23 ≡ 45 (mod 11)

* |𝐴|×|𝐵|

* [https://en.wikipedia.org/wiki/Geometric_Shapes Wikipedia: Unicode Geometric Shapes]

==Elementary Algebra==
[http://tutorial.math.lamar.edu/ Goodish Overview]