[HN Gopher] Tips for mathematical handwriting (2007)
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       Tips for mathematical handwriting (2007)
        
       Author : susam
       Score  : 106 points
       Date   : 2025-02-08 19:20 UTC (3 hours ago)
        
 (HTM) web link (johnkerl.org)
 (TXT) w3m dump (johnkerl.org)
        
       | jovas wrote:
       | Pretty much exactly how I write. (My lower case zeta is prettier)
        
       | thaumasiotes wrote:
       | He doesn't mention that many people have identical handwritten
       | "u" and "n" (both written "i").
       | 
       | This barely matters at all; context will tell you what symbol is
       | being used, just like it does in prose, and most material is
       | typeset.
       | 
       | It really is a very bad idea to use lowercase Ls, though.
        
         | sfpotter wrote:
         | There's nothing wrong with l.
        
         | mkl wrote:
         | is totally fine.
        
       | sideshowb wrote:
       | While we're here, any suggestions on what works better for
       | writing math to a digital whiteboard? Wacom type tablet with no
       | display, or an ipad type tablet with pen?
        
         | Unearned5161 wrote:
         | I would imagine something where you can see the immediate
         | results of what you're writing under your pen to be better,
         | otherwise you'd have to be facing the board somehow and not the
         | class
        
         | sureglymop wrote:
         | I use an iPad with pen and goodnotes. I can airplay it to linux
         | with uxplay. All my notes are digital.
        
         | mkl wrote:
         | A display is much better for this. I recommend Samsung tablets,
         | as the Wacom stylus they use can't awkwardly run out of battery
         | on you.
        
       | fifilura wrote:
       | My tip is to use white paper. No lines no squares, just white.
       | 
       | In Sweden you were expected to use paper with squares but it adds
       | a lot of clutter.
        
         | Unearned5161 wrote:
         | I've gone through so many phases on this. But lately, the more
         | writing intensive my math classes get, I've settled on lined
         | paper.
         | 
         | Blank paper is too... Blank! And I'm more prone to write big
         | and messy and waste pages (even though it's all digital)...
        
         | fujinghg wrote:
         | I used plain for a few years but it has some problems. I now
         | use faint lined paper. Usually Muji notebooks. I leave a blank
         | line between each statement. The lines are handy if you want to
         | make something readable and well aligned which is fairly
         | important. Scans fine.
         | 
         | My kids were forced to use heavily marked blue squared paper.
         | They had problems writing and reading. I pointed this out to
         | their mathematics teacher and said that it may be detrimental
         | and got a diatribe of "what do you know". Such a bad attitude.
         | I had an answer to this which was embarrassing to him.
        
         | Jtsummers wrote:
         | Pencil boards can help. An example:
         | https://www.jetpens.com/Hobonichi-Accessory-Pencil-Board-for...
         | 
         | Grid or lined, placed underneath thinner blank paper (heavier
         | paper won't let the lines or grid show through as easily, if at
         | all). Keeps the final presentation neat while giving the
         | structure you may need to keep things aligned.
        
         | sn9 wrote:
         | You can always do dot grid paper.
        
           | fifilura wrote:
           | Not in Sweden. In the 90s...
        
         | lynguist wrote:
         | I switched to plain white when I was ca 20 years old and never
         | looked back. I need to use plain white since then and I am so
         | used to it that I find lines or grids slightly offensive to me
         | and it throws me off from layouting. You can get used to
         | anything.
        
       | Unearned5161 wrote:
       | nice writeup, I always like taking extra care to view the actual
       | motions a professor uses when writing the symbols on the board as
       | it can sometimes be non-obvious the order or direction to start
       | in.
       | 
       | would also love tips on making right curly brackets not be the
       | bane of my existence. I don't get it, I write a right one
       | basically for every left and yet they feel so different!
        
       | dieselgate wrote:
       | Crossing the Z is a good one. I cross 0 but understand the point
       | with phi. Something that's not mentioned is y (lowercase) and how
       | they can look like a 4
        
         | gilleain wrote:
         | I never used to cross my zeros until I was spending some time
         | writing a lot of diagrams that had both O (for oxygen) and 0
         | (for the numeric label). It got very confusing!
        
         | ddq wrote:
         | I started crossing Z, 7, 0 and generally writing in as
         | unambiguous a manner as possible in my math homework because I
         | was afraid of the teacher reading it wrong and taking points
         | off.
        
         | mkl wrote:
         | I always cross my zs in maths to distinguish them from 2s, but
         | in some countries they cross the 2s to distinguish them from
         | zs, so the ambiguities remain.
        
       | dang wrote:
       | Related. Others?
       | 
       |  _Tips for Mathematical Handwriting (2007)_ -
       | https://news.ycombinator.com/item?id=32665846 - Aug 2022 (2
       | comments)
       | 
       |  _Tips for Mathematical Handwriting (2007)_ -
       | https://news.ycombinator.com/item?id=22983274 - April 2020 (76
       | comments)
        
       | moi2388 wrote:
       | I personally prefer to use dotted paper.
       | 
       | And I write every Latin letter in its capital form, however
       | actual capitals twice as large. Put a dot in zero.
       | 
       | That way everything looks distinct
        
       | Kwpolska wrote:
       | > Make a point come out of the top of the p, to distinguish it
       | from a rho.
       | 
       | Or make it \varrho (r).
       | 
       | > Keep the slash in the phi vertical; keep the slash in the
       | empty-set symbol slanted.
       | 
       | Again, \varphi (U+1D711 which HN doesn't seem to like) is easier
       | to distinguish.
       | 
       | The author silently chose \varepsilon in their TeX, but chose to
       | ignore the rest of the variants.
       | 
       | My grammar school math teacher used a very large ascender for the
       | alpha, almost into serif-PS-sign-without-the-line-through
       | territory.
        
         | mkl wrote:
         | There are two other phis with the (non-mathematical) Greek
         | letters earlier, but unfortunately fonts vary in which one they
         | display as \phi or \varphi: ph (U+03CD), ph (U+03DC).
        
       | lagrange77 wrote:
       | > Put a hook on the x to distinguish it from a times sign [...]
       | In 3rd-semester calculus and onward you'll be using the times
       | sign quite often.
       | 
       | I wonder if he's talking about the cross product.
        
         | JohnKemeny wrote:
         | The \times sign is x in latex. To get * you use \cdot.
        
           | lagrange77 wrote:
           | Yes, but it is rare to see \times used for scalar
           | multiplication, isn't it?
        
       | mturmon wrote:
       | I used to work in a field that used \Sigma for covariance
       | matrices, and pervasively needed discrete summations which also
       | use \Sigma (and often with an understood index set, so the \Sigma
       | appears without clarifying adornment).
       | 
       | I ended up writing my discrete summation \Sigma's with a little
       | serif on the bottom, and ordinary \Sigma's as in OP, with 4 quick
       | back-and-forth strokes.
        
       | rhelz wrote:
       | _chuckle_ I 'm teaching high school math, and I have students who
       | are jedi knights of making ambiguous mathematical signs. They
       | make their "1"'s with a long top serif, which make it look like
       | it could be either a "1" or a "7". A "4" written with a curly
       | hook on the bottom can be mistaken for an "8", etc etc.
       | 
       | Not to mention a glyph which is maximally ambiguous between "T"
       | and "F" so that when grading true/false questions, could stand in
       | for either :-)
       | 
       | If the students would put half as much effort into learning the
       | material as they do in trying to trick teachers they would get
       | straight A's ;-)
        
       | joshdavham wrote:
       | It's incredible to realize how many of the habits mentioned in
       | this post that I've unintentionally picked up while studying
       | applied math. Even after graduation, I still follow a lot of
       | these 'conventions'.
        
       | gnatolf wrote:
       | Most important to me was something not mentioned here: to make
       | i/j les ambiguous, I but effort into explicitly add the right
       | swoop at the bottom of the i, which allowed for the j to be a
       | straight longish line dotted at the top.
        
       | buescher wrote:
       | For Greek I like this:
       | https://www.covingtoninnovations.com/pens/GreekChartLarge.jp...
       | 
       | There's an old joke about "mathematical maturity" meaning being
       | able to write a lowercase zeta, but I took enough classes from
       | professors that would confuse xi and zeta that it probably
       | doesn't matter that much.
        
       | paulluuk wrote:
       | Mostly unrelated, but I wish the field of math would step away
       | from greek letter notatation and just make variable and function
       | names readable as programmers do. I know there are historic
       | reasons, and I'm sure that mathematicians' time is so valuable
       | that they can't be bothered to write more than 1 character, but
       | it's a real barrier to entry in my opinion.                 def
       | a(b, g):           d = b ** 2 + g ** 2           e = d ** 0.5
       | return e              z = a(3, 4)       print(z)
        
         | fxwin wrote:
         | the vast majority of mathematical equations/terms would become
         | completely unreadable if you replaced single symbols with
         | descriptive terms. You are going to have to internalize what
         | the symbols refer to anyways to understand the formula, and
         | once that is accomplished any additional description is a waste
         | of space and cognitive bandwidth.
        
       | lynguist wrote:
       | I came up with similar rules over decades (I still write
       | sometimes mathematical symbols), and I have to only take care of
       | my "u" vs "n" and "r" vs "v", and write these pairs especially
       | slowly because in my handwriting (especially u and n) look the
       | same.
       | 
       | But for all the others I've developed similar disambiguations.
        
       | xyproto wrote:
       | Dotted 0 (number) and a regular round O (letter) should also be
       | possible, instead of a round blank 0 (number) and an O (letter)
       | with a top curl.
        
       | mysteria wrote:
       | For distinguishing between the lowercase "a" and "a" without
       | switching to cursive you can also use a double storey a.
        
       | jebarker wrote:
       | People that use xi should lose their math credentials
        
         | clircle wrote:
         | [delayed]
        
       | dogmatism wrote:
       | learned this by experience in...1998
       | 
       | thanks for the insight
        
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