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How To Enter Equations Quickly In Class?

AdmiralXyz writes "I'm a university student, and I like to take notes on my (non-tablet) computer whenever possible, so it's easier to sort, categorize, and search through them later. Trouble is, I'm going into higher and higher math classes, and typing "f_X(x) = integral(-infinity, infinity, f(x,y) dy)" just isn't cutting it anymore: I need a way to get real-looking equations into my notes. I'm not particular about the details, the only requirement is that I need to keep up with the lecture, so it has to be fast, fast, fast. Straight LaTeX is way too slow, and Microsoft's Equation Editor isn't even worth mentioning. The platform is not a concern (I'm on a MacBook Pro and can run either Windows or Ubuntu in a virtual box if need be), but the less of a hit to battery life, the better. I've looked at several dedicated equation editing programs, but none of them, or their reviews, make any mention of speed. I've even thought about investing in a low-end Wacom tablet (does anyone know if there are ultra-cheap graphics tablets designed for non-artists?), but I figured I'd see if anyone at Slashdot has a better solution."

46 of 823 comments (clear)

  1. LyX by sl3xd · · Score: 4, Informative

    I used LyX quite a bit; the equation editor is pretty quick to work with (better than MS Equation Editor or similar addons).

    LyX is generally much faster than straight LaTeX - and there's a much shallower learning curve.

    Additionally, LyX works on pretty much whatever platform you want to use.

    --
    -- Sometimes you have to turn the lights off in order to see.
    1. Re:LyX by gardyloo · · Score: 5, Informative

      http://en.wikipedia.org/wiki/Learning_curve#Common_terms

            You'd think that people would learn that language isn't always sensical, and that terms may have multiple --- even mutually contradictory --- meanings. Hope that's not too inflammatory a hope.

    2. Re:LyX by Anonymous Coward · · Score: 5, Funny

      Claim you have a disability and get the university to pay someone to write all of your notes.

    3. Re:LyX by Steve+Franklin · · Score: 4, Insightful

      Yes, indeed. Actually, it makes perfect sense. "Steep" is a metaphor based on climbing a hill, where the steeper it is the harder it is to get to the top. Does this really escape some folks?

      --
      Hic iacet Arthurus, rex quondam rexque futurus.
    4. Re:LyX by thethibs · · Score: 3, Funny

      That's all right. They also think that a "quantum leap" is really big.

      --
      I'm a Programmer. That's one level above Software Engineer and one level below Engineer.
    5. Re:LyX by dgatwood · · Score: 4, Insightful

      Even though we both have similar concepts of what the learning curve is referring to, I think the GP's interpretation is backwards, at least from a user interface design perspective. If the learning curve is steep, that means you learn a lot at the very beginning, which means that you have to learn a lot just to get started. Otherwise, you wouldn't have bothered to learn all that stuff up front. Thus, a steep learning curve means that the UI is relatively hard to learn, even if it doesn't take you a huge amount of time.

      The ideal learning curve for software is actually fairly linear; the amount you learn at the beginning should be minimal because the UI should be discoverable enough and familiar enough (relative to other software) that you don't need to learn anything of substance to start using it at a basic level. As you get into it more, you should continue to discover things that make your life easier.

      Just my $0.02.

      --

      Check out my sci-fi/humor trilogy at PatriotsBooks.

    6. Re:LyX by friedo · · Score: 5, Funny

      It took me lightyears to explain that to someone.

    7. Re:LyX by Anonymous Coward · · Score: 5, Interesting

      I have used LyX in advanced mathematical courses such as quantum mechanics and relativistic electrodynamics. With the help of the copy-paste function I found that I could type the equations faster into my laptop than my classmates could write them onto paper and so had a little more time to think about them and ask questions.

      LyX is very easy to learn for note taking as you type stuff like:
      CNTL-M \int_{-\infty}^{\infty} \alpha(x) dx
      and get instant pretty graphical equations.

      If you need to draw pictures, however, you will need a tablet or pen and paper.

      Hope this helps...

    8. Re:LyX by dgatwood · · Score: 3, Insightful

      I've found that, assuming your professor is okay with it, bringing a digital camera with a good zoom lens and shooting pictures of the board as the professor writes on it is the fastest way to take notes. We do this in meetings at work for the same reason. Alternatively, professors who use electronic slides can provide a copy of them electronically, removing the need to waste a lot of the students' time hand-writing copies of the same content unnecessarily. We don't live in ancient times; we aren't training scribes here.

      --

      Check out my sci-fi/humor trilogy at PatriotsBooks.

    9. Re:LyX by Mikkeles · · Score: 4, Insightful

      The muscle memory of (hand)writing notes (which are not necessarily verbatum copies of the presentation) is an excellant aid to learning.

      In addition, it helps one learn how to filtre out the less relevant part of copious information; that is, to recognise what's important.

      --
      Great minds think alike; fools seldom differ.
    10. Re:LyX by Ahnteis · · Score: 4, Insightful

      AND when you copy those onto your computer later, you'll be even MORE likely to remember it.

    11. Re:LyX by Eskarel · · Score: 3, Insightful

      That is entirely dependent on the individual and their learning style.

      Some people do learn that way, some people do not, some people learn better by reading, or speaking or listening, or teaching others. Back in high school I used to program my calculator to do the problems on the homework and while I couldn't use those programs in class, explaining how to do something to the calculator generally gave me a pretty good understanding of it myself.

    12. Re:LyX by wall0159 · · Score: 3, Interesting

      I wrote my thesis in LyX, and it was basically a good experience with few problems. However, if I was doing it again I'd probably use straight LaTeX via a nice editor (gedit has a nice LaTeX plugin, for example). The reason for this is that I think LaTeX is in someways a bit simpler than LyX because it is always clear what is happening, whereas LyX has a second markup stage. I had a bit of difficulty doing some document-wide formatting in LyX that I think would've been more straight-forward in LaTeX.

      I'm certainly not being heavily critical of LyX, and think that if you stick to their bundled document formats, you should be fine.

      (this is a little off-topic, because the article is about taking equation notes in class, which would be a cinch in LyX, I reckon.)

  2. Comment removed by account_deleted · · Score: 4, Informative

    Comment removed based on user account deletion

  3. pencil/paper by jschen · · Score: 5, Informative

    Pencil/paper and digitizing later should be fine.

    1. Re:pencil/paper by Reeses · · Score: 4, Informative

      Pen and paper got me through my math classes in school. Then I'd transcribe the equations later into digital form.

      --
      Reeses
    2. Re:pencil/paper by arthurpaliden · · Score: 5, Insightful

      Pencil/paper and transcription. That way the knowlage is refreshed after the lecture and you hve a better chance of correcting what you took down if it was initially taken down in error because the content is fresh in your mind.

    3. Re:pencil/paper by ocean_soul · · Score: 4, Informative

      I agree. You should not be taking notes on the computer. It's much better to do it on paper and, if you really need it, digitize them later. This coming from a former mathematical physics student, now teaching mathematical physics. So I do have (a lot of) experience with it.

    4. Re:pencil/paper by budhaboy · · Score: 3, Informative

      totally agree. The best editing software for equations I've ever seen is latex, and I suspect it's still too slow for taking notes in class. There used to be these crazy pens that could capture notes (and doodles) to image files... But it'd probrably be easier just to scan them later, as it'd give you a chance to review them anyway.

    5. Re:pencil/paper by mctk · · Score: 4, Funny

      Other solutions that solve poster's problem without answering his quesiton:

      1. Memorize as you go.
      2. Screw lecture, just watch Square One.
      3. Have friend audio-record lectures then have other friend convert them to notes then photocopy friend's notes and use OCR.
      4. Drop out of school.
      5. Prove the Reimann Hypothesis and skip right to that PhD.
      6. Hire a plant to continually ask inane questions during lecture, giving you more time to input those equations in LaTeX.
      7. Code up a Math Module for Dragon Naturally speaking.
      8. ???
      9. Dear aunt, let's set so double the killer delete select all

      Wait... What were we talking about?

      --
      Paul Grosfield - the quicker picker upper.
    6. Re:pencil/paper by chrisb33 · · Score: 4, Interesting

      If you're just interested in organization and searching, I'd highly recommend the LiveScribe Pulse smartpen - all the smarts are in the pen, which isn't too expensive compared to a tablet, and you can buy the compatible notebooks cheaply. All your notes get backed up to your computer when you dock your pen, it does a great job searching for a specific piece of text. My handwriting is a disaster, and I have never seen a search fail so far - I believe that it actually uses the sequence of pen motions (not just OCR on the final result) and it can tolerate some of the letters being unreadable. It has other features as well, such as recording audio (the mic has a decent gain) and syncing it with your notes. They also have an SDK and are launching an app store, so in the future you should be able to make good use of the ARM processor in the pen.

    7. Re:pencil/paper by zolltron · · Score: 5, Insightful

      Absolutely! I have students that take notes on computer, and I think it's a terrible idea. First there is the problem of equations. In the class I teach we introduce a lot of symbols, so even if you have a fast system you would have to find the symbols in a big list. By the time you do, you're probably behind.

      Second, note taking is a tool which helps you learn the material better. Transcribing the notes later helps significantly more, because now you get to revisit the material with fresh eyes. Something that may have seemed obvious initially may seem less so when you transcribe them. Now you can go to the next lecture an ask questions from the previous class. (As a professor, I'm *very* impressed when students do this, because it proves to me that they did something other than drink beer between the end of the last class and the beginning of the next.)

      Finally taking notes on a computer provides you with many distractions. I know lots of students who claim "I don't get distracted from using a computer", but then my grader or another student informs me the were surfing the web, reading email, IMing, etc. Save yourself from having to avoid these and just use paper.

    8. Re:pencil/paper by dgatwood · · Score: 3, Insightful

      Another problem with handwritten notes is that many people experience serious hand cramping after writing continuously for an hour. I could type for a week without getting tired; you don't have to tightly grip a keyboard. I stopped writing stuff by hand entirely back in junior high, with the exception of a couple of teachers who didn't like typed stuff. Handwriting is just too physically draining for what you get out of it. Pen and paper are for *short* notes to myself, marking up copy, etc. Everything else is 1s and 0s.

      --

      Check out my sci-fi/humor trilogy at PatriotsBooks.

    9. Re:pencil/paper by jeremyp · · Score: 3, Insightful

      Handwriting is just too physically draining for what you get out of it. Pen and paper are for *short* notes to myself, marking up copy, etc. Everything else is 1s and 0s.

      For fuck's sake. What do you think we used to do in olden days before there were laptop computers? I went through college, not only writing my notes in lectures with my bare hands but also copying them out neatly later with my bare hands.

      There's this amazing thing with muscles, if you use them they get stronger.

      --
      All I want is a secure system where it's easy to do anything I want. Is that too much to ask ~~ Randall Munroe
  4. Old school by Darth+Maul · · Score: 4, Insightful

    Keep it simple - pen and paper.

    --
    --- witty signature
    1. Re:Old school by BigHungryJoe · · Score: 3, Insightful

      aren't math people supposed to use pencil?

    2. Re:Old school by megamerican · · Score: 5, Funny

      aren't math people supposed to use pencil?

      Only if you're one of those people who make mistakes. Obviously no one on /. would fit in this category.

      --
      If you have something that you dont want anyone to know, maybe you shouldnt be doing it in the first place -Eric Schmidt
  5. paint by Anonymous Coward · · Score: 5, Funny

    microsoft paint

  6. Windows 7 by thefogger · · Score: 3, Informative

    If you do choose to invest in a Wacom tablet, Windows 7 comes with a math input panel:

    http://www.gottabemobile.com/2008/10/29/windows-7-math-input-panel-screenshots

    It's not very usable with a mouse, though.

    --


    Um... I didn't do it!
  7. Windows 7 now has a math input panel by jsac · · Score: 3, Informative

    Windows 7 now features a math input panel, which converts handwritten mathematics to MathML. You can see screenshots at this link: http://www.gottabemobile.com/2008/10/29/windows-7-math-input-panel-screenshots

    --
    "The urge to fly from modern systems, instead of moving through them to even greater, fairer things is, I think, an indi
  8. TeX to the rescue by Florian+Weimer · · Score: 5, Funny

    f_X(x) = integral(-infinity, infinity, f(x,y) dy)

    Just type $$f_X(x) = \int_\infty^\infty f(x,y) dy$$ instead.

    1. Re:TeX to the rescue by melikamp · · Score: 4, Funny

      Say, you are doing probability and have to write a bunch of integrals over the real line. Then you can prepare this:

      \newcommand{\fX}{f_X(x)}
      \newcommand{\intii}{\mathop{\int_{-\infty}^\infty}}

      or

      \newcommand{\intR}{\mathop{\int_{\mathbb R}}}

      and later use

      \[ \fX = \intii f(x,y)dy \]

  9. What MACROS are for by Anonymous Coward · · Score: 4, Insightful

    Create keyboard macros for all your math stuff.

    CONTROL + SHIFT + F would be
      f() [LEFT ARROW to put your cursor between the parenthesis]

    You're in college, so I'm sure you can figure it out...

  10. Mac's Typography; in short: transcribe your notes by zentechno · · Score: 4, Interesting

    Firstly, the Mac has an incredibly rich simple character set. This is NOT coincidental, as Apple copied their editing capabilities from the publishing industry decades ago. E.g. in TextEdit type alt-b and you'll see a '' integral symbol (looks correct as I type it, hopefully the post wont change it). If you can learn these keyboard shortcuts (learning-curve arguments aside), you *may* be able to type these directly into your mac in class, BUT... If you take notes by hand, then transcribe them into your mac using these short cuts, or simply via the Mac's Font (e.g. TextEdit --> commant-T) and characters (e.g. via the gear drop-down in the Font) pane, you're doing yourself a much bigger favor.

    --
    âoeThe wall between art and engineering exists only in our minds.â -- Theo Jansen
  11. Re:Tex Faster by Anonymous Coward · · Score: 4, Informative

    Use the auctex mode in emacs, which *greatly* reduces the number of keystrokes you need.

    That combined with x-symbol let me take notes in graduate math classes for an experiment.

  12. OpenOffice.org by carluva · · Score: 3, Informative

    I took all of my notes throughout university (including engineering courses) using OpenOffice.org. The equation editor in OpenOffice is easy-to-learn, fast (as in, no mouse use required and the keystrokes are all sane), and the completed equations look great. (By default, there isn't a keyboard shortcut for inserting a new equation, so you'll need to manually assign one—I used Ctrl-Shift-F, if I remember correctly.

    Your example would almost work as is; it would be entered as:

    f_x (x) = int from -infinity to infinity f (x, y) dy

    Or, if you prefer your parentheses to stretch (in case you have fractions inside, or what have you):

    f_x left ( x right ) = int from -infinity to infinity f left ( x, y right ) dy

    Either way, it comes out looking very nice. The one thing that takes some getting used to is that you need to make liberal use of whitespace (e.g. between f and the opening parenthesis of the function), otherwise things will occasionally come out looking a little strange. The best part is, when you don't know what you need to type for a particular symbol, you can select it from the menu and OO will insert the plaintext code, which makes it very easy to learn the code for new items.

  13. Remap the keystrokes by wfstanle · · Score: 4, Informative

    I was disabled and taking notes was VERY slow for me if I tried writing. I used a word processor WP or MS Word (I don't remember which one) to take notes. I had a similar problem until I discovered that I could map an entire phrase into a single keystroke. For example: "ALT + CTRL + F " could be "f(X) = " You could even be more elaborate because certain phrases are used time and time again in lectures. My longest remapping was 20 characters. For different classes, I had completely different keystroke mappings. Just be careful not to remap the standard keystrokes.

    This technique worked for me all though grad school. I also used a tape recorder (get the professors permission first) and reviewed my notes after class to make sure I got it all.

  14. Pulse Smart Pen by Roger+W+Moore · · Score: 3, Informative

    The pulse smart pen is far better. I tried the Wacom bluetooth tablet but the problem is that you cannot see what you write. If you use the Pulse Smartpen then it acts like a real pen - so you can see exactly what you have written - and as well as recording exactly what you wrote it records audio as well so you end up with a document that you can click on to hear what was being said at the time that you wrote that bit of text.

    The only downside is that it needs special paper which you can buy in notebook form or which you can print yourself using a laser printer. The windows version has some extra software you can buy to perform OCR on your handwriting but since I have a Mac I have no idea how good it is. There is even an open SDK for you to develop your own applications for it but it unfortunately only supports Java.

  15. Use Word 2007's Equation support by KK · · Score: 3, Interesting

    This is not the old Equation Editor 3.0 from Word 2003, which is a crippled version of MathType, but rather a brand new equation facility in Word 2007, which is also the basis for the new equation support in the OneNote 2010 beta another poster has referred to.

    The Word 2007 equation editor supports a "linear format" for completely keyboard-based input, which is based on TeX-like commands like "\sum" and "\int" and is documented in this Unicode technical note: Unicode Nearly Plain-Text Encoding of Mathematics

    I've been using this for my math classes since last semester, with great success. Once you master the linear format, it's not difficult to keep up if you have a reasonable typing rate to begin with.

  16. Stop Taking Notes by DynaSoar · · Score: 3, Insightful

    [This is a non-answer to your question. But it's a good non-answer if my success and student and teacher is any measure.]

    Don't take notes in class. Seriously. I've forbidden note taking in some of my classes. I hand out copies of material not in the book. But when I lecture, I do so with the intention that what I say be listened and paid attention to. If someone's trying to write what I say, their attention and working memory is so divided that they can't be picking up much of anything.

    This is especially true for maths. Of what purpose is it for you to have to watch someone write out equations? Of what purpose to write them down at the same time? Is the content of so little importance that they can waste their time and yours with speed writing exercises? The writing/rewriting is important for memory. That being so, why tax the memory with the process, reducing the result?

    Ask your instructors for copies of their class notes. Explain why. If they feel it's somehow cheating, ask to record their lecture. If they're not saying the equations out loud, record in video. Then whether paper copies, audio or video, transcribe. More than once if need be. Work with them on this. It'll be to everyone's benefit. If they can't believe that, prove it by recording a class with them writing stuff as usual and people copying, and calculate how much more time it takes for them to write, you to write, you to ask what that wiggly thing is, them to tell you, them to write, them to ask if everyone is caught up, on and on; vs. hand out a paper copy, them lecture, you listen (and add just tiny clarifications if necessary on their notes).

    I really am serious about this, and pushing this agenda has made me a favorite of students (who get better grades; I've tracked that too) but gotten me all kids of grief from other instructors. They see the process as one of confrontation, forcing students to do things a certain way and any other is 'cheating', or could be used for cheating, and frankly very little rational explanations are forthcoming. I picked it up from instructors who were more concerned their students learn than jump through hoops like speed writing as the sole means to collect material covered in class. I hated hoops as a student and refused to use them as a teacher. Instructors that can't get away from hoops are using them as a crutch. Help them learn to do better.

    --
    "I may be synthetic, but I'm not stupid." -- Bishop 341-B
    1. Re:Stop Taking Notes by Overzeetop · · Score: 3, Insightful

      Interesting...

      If find that the process of writing down class notes is what (a) keeps my mind focused on the lecture and (b) aids in review when I have the notes in _my_ order with my side notes. I've taken classes lately with professors using your method (their notes, sometimes with blanks to simplify class participation) - and it didn't "stick." Sure, I did well, but it was all short term memory - in a year the knowledge was nearly as foreign as if I hadn't taken it.

      It sounds more like you prefer to provide more material than normally covered, and that's fine. I'd prefer to cover a little less and have it stick with me. As for recording notes and recopying later - I'll admit I'm a bad student. My time is limited and the hour I spend in a lecture is the hour I devote to that material - I don't want to spend an extra 1-2 hours relistening to a lecture - it wastes my time if I've done the in-class routinge correctly. Sample problems (aka homework) cements the lesson and identifies areas I don't understand so I can review them at the next opportunity.

      What really cements the knowledge are the tests where I get to use a formula/summary sheet (preferably multiple for later, cumulative exams). I have notes from a decade ago that I use regularly in my office because I copied carefully in class, then when studying for the exams prepared "summary" sheets. Those sheets are - to this day - my professional references. A quick glance for the right formula, back to the notes I took (with my side points) if it's been a while, and into the textbook if I need to really brush up or have to expand on a subject.

      Of course, this is primarily for engineering; math can be different, as can other topics.

      --
      Is it just my observation, or are there way too many stupid people in the world?
    2. Re:Stop Taking Notes by rahvin112 · · Score: 4, Insightful

      I would drop any class you did that in and ensure that I reward you with a terrible recommendation and report, if I was your dean I would fire you. I learn best by writing what is said, take away my ability to write and I won't learn it all. Your policy is beyond stupid because everyone learns differently. By forcing everyone to learn the way you learn, or the way you believe people should learn, you are guaranteeing that a minority of your classes won't learn anything. You should rethink your insistence that you know how to learn better than the students you are teaching because not only is your policy downright discriminatory for those with learning disorders such as dyslexia, but your arrogant belief that you know better demonstrates a superiority complex that's prevalent in higher education and a first order indicator of a bad teacher.

  17. Re:What's old is new by 0100010001010011 · · Score: 5, Insightful

    you'll have recreated the fabulous 2-buck pen-and-paper experience. Go you!

    The question I don't understand is WHY. The quoted statement outline the end result pretty clearly. I understand slashdot loves to use fancy technology to solve simple problems, but sometimes simpler is better. I already have a HUGE set of properly formatted equations all nicely written out, it's called the Book.

    Note taking, for me, was to summarize what the teacher said, in MY words so that I could understand it later. I just learn by writing it down, there were some classes that I never kept the notes. I'd grab what ever scratch paper was by the printers, write on it, and toss it after class. (Statics. F=0, how hard is it?). I still have quite a few of both textbooks AND notes for a class. I have the hard equations and then I have how I learned it. Heaven forbid ever become an engineer, where the teacher is drawing simply supported beams on the board, the teacher is drawing feedback control systems.

    Anything worth writing is worth writing once. If someone already wrote it in the text book. Then that is good enough for me. In some classes we'd photocopy the problems out of the book, cut them out and paste them on the homework. It was better looking than my drawing and clearer than my handwriting... and I can guarantee I never made any transcribing errors.

    Instantly digitized notes seem like they'd be great for classes where the content will never exist again outside of that class. Philosophy debates, taking notes as a reporter, etc. You're going to spend more of your time trying to figure out how to make that '2' go subscript of that '4' in the numerator with the summation block than you will learning the content. Put down the computer. Grab a good mechanical pencil and a $.50 notebook from walmart and quit worrying about it.

    If you HAVE to have a digital copy. Take notes on something that can easily be separated into individual sheets (3 ring binder and 8x11s with 3 holes). When the semester is over take it to any decent multifunction machine, put it in the top and let it scan everything for you.

  18. Prof says: paper and pencil by goodmanj · · Score: 4, Interesting

    Hi, I'm a physics professor. I say, take your notes on paper. Math is the most computer-incompatible writing system ever designed. You'll never ever be able to type equations fast enough to keep up with me on the blackboard.

    And even if you manage to find a math entry system that's fast enough, it won't help you with the diagrams, graphs, and sketches.

    Of course, I don't practice what I preach: my own lecture notes are in text files. But that's because to me, "block ramp friction mu=0.2, 1 kg 30deg 1m long, find final v. U=4.9 Wf=1.7 v=2.5" is a complete set of notes for a 20-minute segment of lecture.

    Oh, also: write in pencil. I guarantee you that whenever you bring a pen, I will spend the entire lecture correcting minor mistakes by erasing with the heel of my hand, changing variable notations, and editing diagrams and drawings halfway through working a problem.

  19. Re:Question by wigaloo · · Score: 4, Insightful

    I used to hand out notes for my lectures, but then stopped doing it. Students fall asleep in class if there is no physical activity, and the act of note-taking is very important for keeping the brain engaged -- particularly in a mathematical class. When I first started at the University I was very idealistic and thought I was going to change the way teaching was done. The hard lesson was that there is a reason why professors use chalk and blackboard. It works.