How to google search mathematical notions and expressions?












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It is usually not difficult to google search mathematical notions; for example, one can search (with quotation marks) the term "brunnian braid" and find the definition and other related materials. Occasionally some math terms are difficult to google search directly as the same expression is widely used under different meaning by people from other fields. One such example is "Johnson filtration"; other more familiar examples include "support", "almost everywhere", "ideal", etc. Is there any solution to this situation?



To me, some expressions are almost hopeless to search with google. For example, I have no idea how to search $e^{ipi}+1=0$ unless I know the name of the identity. Another example is to search $E_0^*(G)$, which is the graded Lie algebra associated to a discrete group $G$. Unless one knows the name of the terminology, how can one google search $E_0^*(G)$?










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  • $begingroup$
    Indeed it's quite hard :/ Btw, $mathbb{e}^{mathbb{i}pi}+1=0$ is Euler identity :D
    $endgroup$
    – servabat
    Dec 7 '14 at 11:18






  • 1




    $begingroup$
    @servabat, this one is famous. But not every identity has a universally accepted name; even if it has, one may not be aware of it.
    $endgroup$
    – Zuriel
    Dec 7 '14 at 11:19












  • $begingroup$
    Sometimes, i'm trying things like e^(i*pi) + 1 = 0. Doesn't work everytime, but..
    $endgroup$
    – servabat
    Dec 7 '14 at 11:22










  • $begingroup$
    Related older question: math.stackexchange.com/questions/74609/… (There were also some related discussion on meta.)
    $endgroup$
    – Martin Sleziak
    Dec 7 '14 at 13:05










  • $begingroup$
    @MartinSleziak, thank you for the references!!
    $endgroup$
    – Zuriel
    May 31 '17 at 22:34
















15












$begingroup$


It is usually not difficult to google search mathematical notions; for example, one can search (with quotation marks) the term "brunnian braid" and find the definition and other related materials. Occasionally some math terms are difficult to google search directly as the same expression is widely used under different meaning by people from other fields. One such example is "Johnson filtration"; other more familiar examples include "support", "almost everywhere", "ideal", etc. Is there any solution to this situation?



To me, some expressions are almost hopeless to search with google. For example, I have no idea how to search $e^{ipi}+1=0$ unless I know the name of the identity. Another example is to search $E_0^*(G)$, which is the graded Lie algebra associated to a discrete group $G$. Unless one knows the name of the terminology, how can one google search $E_0^*(G)$?










share|cite|improve this question











$endgroup$












  • $begingroup$
    Indeed it's quite hard :/ Btw, $mathbb{e}^{mathbb{i}pi}+1=0$ is Euler identity :D
    $endgroup$
    – servabat
    Dec 7 '14 at 11:18






  • 1




    $begingroup$
    @servabat, this one is famous. But not every identity has a universally accepted name; even if it has, one may not be aware of it.
    $endgroup$
    – Zuriel
    Dec 7 '14 at 11:19












  • $begingroup$
    Sometimes, i'm trying things like e^(i*pi) + 1 = 0. Doesn't work everytime, but..
    $endgroup$
    – servabat
    Dec 7 '14 at 11:22










  • $begingroup$
    Related older question: math.stackexchange.com/questions/74609/… (There were also some related discussion on meta.)
    $endgroup$
    – Martin Sleziak
    Dec 7 '14 at 13:05










  • $begingroup$
    @MartinSleziak, thank you for the references!!
    $endgroup$
    – Zuriel
    May 31 '17 at 22:34














15












15








15


7



$begingroup$


It is usually not difficult to google search mathematical notions; for example, one can search (with quotation marks) the term "brunnian braid" and find the definition and other related materials. Occasionally some math terms are difficult to google search directly as the same expression is widely used under different meaning by people from other fields. One such example is "Johnson filtration"; other more familiar examples include "support", "almost everywhere", "ideal", etc. Is there any solution to this situation?



To me, some expressions are almost hopeless to search with google. For example, I have no idea how to search $e^{ipi}+1=0$ unless I know the name of the identity. Another example is to search $E_0^*(G)$, which is the graded Lie algebra associated to a discrete group $G$. Unless one knows the name of the terminology, how can one google search $E_0^*(G)$?










share|cite|improve this question











$endgroup$




It is usually not difficult to google search mathematical notions; for example, one can search (with quotation marks) the term "brunnian braid" and find the definition and other related materials. Occasionally some math terms are difficult to google search directly as the same expression is widely used under different meaning by people from other fields. One such example is "Johnson filtration"; other more familiar examples include "support", "almost everywhere", "ideal", etc. Is there any solution to this situation?



To me, some expressions are almost hopeless to search with google. For example, I have no idea how to search $e^{ipi}+1=0$ unless I know the name of the identity. Another example is to search $E_0^*(G)$, which is the graded Lie algebra associated to a discrete group $G$. Unless one knows the name of the terminology, how can one google search $E_0^*(G)$?







soft-question online-resources






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share|cite|improve this question













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share|cite|improve this question








edited Dec 7 '14 at 11:29







Zuriel

















asked Dec 7 '14 at 11:10









ZurielZuriel

1,8881228




1,8881228












  • $begingroup$
    Indeed it's quite hard :/ Btw, $mathbb{e}^{mathbb{i}pi}+1=0$ is Euler identity :D
    $endgroup$
    – servabat
    Dec 7 '14 at 11:18






  • 1




    $begingroup$
    @servabat, this one is famous. But not every identity has a universally accepted name; even if it has, one may not be aware of it.
    $endgroup$
    – Zuriel
    Dec 7 '14 at 11:19












  • $begingroup$
    Sometimes, i'm trying things like e^(i*pi) + 1 = 0. Doesn't work everytime, but..
    $endgroup$
    – servabat
    Dec 7 '14 at 11:22










  • $begingroup$
    Related older question: math.stackexchange.com/questions/74609/… (There were also some related discussion on meta.)
    $endgroup$
    – Martin Sleziak
    Dec 7 '14 at 13:05










  • $begingroup$
    @MartinSleziak, thank you for the references!!
    $endgroup$
    – Zuriel
    May 31 '17 at 22:34


















  • $begingroup$
    Indeed it's quite hard :/ Btw, $mathbb{e}^{mathbb{i}pi}+1=0$ is Euler identity :D
    $endgroup$
    – servabat
    Dec 7 '14 at 11:18






  • 1




    $begingroup$
    @servabat, this one is famous. But not every identity has a universally accepted name; even if it has, one may not be aware of it.
    $endgroup$
    – Zuriel
    Dec 7 '14 at 11:19












  • $begingroup$
    Sometimes, i'm trying things like e^(i*pi) + 1 = 0. Doesn't work everytime, but..
    $endgroup$
    – servabat
    Dec 7 '14 at 11:22










  • $begingroup$
    Related older question: math.stackexchange.com/questions/74609/… (There were also some related discussion on meta.)
    $endgroup$
    – Martin Sleziak
    Dec 7 '14 at 13:05










  • $begingroup$
    @MartinSleziak, thank you for the references!!
    $endgroup$
    – Zuriel
    May 31 '17 at 22:34
















$begingroup$
Indeed it's quite hard :/ Btw, $mathbb{e}^{mathbb{i}pi}+1=0$ is Euler identity :D
$endgroup$
– servabat
Dec 7 '14 at 11:18




$begingroup$
Indeed it's quite hard :/ Btw, $mathbb{e}^{mathbb{i}pi}+1=0$ is Euler identity :D
$endgroup$
– servabat
Dec 7 '14 at 11:18




1




1




$begingroup$
@servabat, this one is famous. But not every identity has a universally accepted name; even if it has, one may not be aware of it.
$endgroup$
– Zuriel
Dec 7 '14 at 11:19






$begingroup$
@servabat, this one is famous. But not every identity has a universally accepted name; even if it has, one may not be aware of it.
$endgroup$
– Zuriel
Dec 7 '14 at 11:19














$begingroup$
Sometimes, i'm trying things like e^(i*pi) + 1 = 0. Doesn't work everytime, but..
$endgroup$
– servabat
Dec 7 '14 at 11:22




$begingroup$
Sometimes, i'm trying things like e^(i*pi) + 1 = 0. Doesn't work everytime, but..
$endgroup$
– servabat
Dec 7 '14 at 11:22












$begingroup$
Related older question: math.stackexchange.com/questions/74609/… (There were also some related discussion on meta.)
$endgroup$
– Martin Sleziak
Dec 7 '14 at 13:05




$begingroup$
Related older question: math.stackexchange.com/questions/74609/… (There were also some related discussion on meta.)
$endgroup$
– Martin Sleziak
Dec 7 '14 at 13:05












$begingroup$
@MartinSleziak, thank you for the references!!
$endgroup$
– Zuriel
May 31 '17 at 22:34




$begingroup$
@MartinSleziak, thank you for the references!!
$endgroup$
– Zuriel
May 31 '17 at 22:34










4 Answers
4






active

oldest

votes


















1












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A few years ago we developed the search engine SearchOnMath, in order to search for mathematical formulas. Recently our tool has indexed both: Mathematics and MathOverflow.



Currently, SearchOnMath is the mathematical search engine with the largest number of indexed sites (including Wikipedia, Wolfram MathWorld, among others ...).



The following video illustrates how it works:
SearchOnMath - a brief guide.



EDIT:



We’d love to hear your feedback.
We also posted on Meta.






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Thanks! I have searched $a^2+b^2=c^2$ but no results were found. Did I miss anything?
    $endgroup$
    – Zuriel
    Jan 31 at 20:32










  • $begingroup$
    Hi, please, enclose formulas between ${ }$. So, you should write as follows: ${a^2 + b^2 = c^2}$.
    $endgroup$
    – Flavio Gonzaga
    Jan 31 at 20:35












  • $begingroup$
    Searching for $a^2 + b^2 = c^2$
    $endgroup$
    – Flavio Gonzaga
    Jan 31 at 20:39










  • $begingroup$
    It works now! It is a great website and I appreciate your answer very much! This is exactly what I was asking for. I am pleasantly surprised to find that it also works for ${E_0^*(G)}$. I wish I had seen your answer earlier.
    $endgroup$
    – Zuriel
    Jan 31 at 20:40












  • $begingroup$
    Thank you very much! :)
    $endgroup$
    – Flavio Gonzaga
    Jan 31 at 20:44



















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My general strategy is to iterate through related added keywords or to get rid of themes by using the feature to subtract words in the search. In particular, adding "Wikipedia", "StackExchange", "nLab" and things like that narrow search down strongly.



For example, if you search for the Tits group (Wikipedia), then google image search for 'tits group math' or 'tits group diagram' is much closer to what you want than if you just search 'tits group' (google images).



You can try to google LaTeX code, but it hardly helps. There is software like latexsearch for that, although from what I tried I wasn't amazed either. As a remark, there is detexify if you don't know how to generate some symbols. Often the related section of StackExchange questions matches the title well, so for $mathrm{e}^{ipi}$ you can surely find the concept via this box. What I also very often do is go to Wikipedia, a related concept, and click "what links here" (pages related to Jacques Tits) on the side.






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  • 1




    $begingroup$
    I clicked by mistake your link to "tits group", and, oops!
    $endgroup$
    – Zuriel
    Dec 7 '14 at 11:51










  • $begingroup$
    @Zuriel: Whether you refer to abstract algebra or human bodies, there's no need to be afraid. But can I interest you for a Wiener sausage?
    $endgroup$
    – Nikolaj-K
    Dec 7 '14 at 12:07








  • 2




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    @NikolajK: a similar problem happens if you do a google image search on "coset." The concept can be tricky when you first learn it, so when I was teaching group theory I wanted to see if there were any helpful images of cosets on the web that I could use in class. Needless to say, nothing I found was going to explain cosets to anybody.
    $endgroup$
    – KCd
    Jan 11 '15 at 10:34



















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In comments and other answers it was mentioned that there are some other search engines which could be better when searching for mathematical expressions. But I think that as nowadays several pages uses LaTex syntax (Wikipedia, this site, to mention just two important examples). Additionally, some people have also TeX-sources of their documents online. So it is not entirely hopeless to google simply for the LaTeX version of the formula. However, there is problem that many things can be typeset in LaTeX in many different ways. Another problem is choice of variables. It is often useful to restrict search to some site(s), for example, "x^2+y^2=z^2"+site:math.stackexchange.com+OR+site:wikipedia.org.



Searching for TeX using Google



Let us try some concrete examples.



Continuum hypothesis



For example, let us assume that I know that there was something like $aleph_1=2^{aleph_0}$ was mentioned in the class, but I do not know the name of this formula. (But, luckily enough, I know to typeset it in TeX.)



If I try some reasonable search queries, for example:




  • "aleph_1" "2^{aleph_0}"

  • "aleph_1=2^{aleph_0}"


  • "2^{aleph_0}=aleph_1",

  • "aleph_1" "mathfrak c"


in all of them we can find at least some things related to continuum hypothesis.



Euler's formula



You mentioned Euler's formula. Simply searching for "e^{ipi}" returns Wikipedia article about Euler's identity among the top results. Searching for "e^{pi i}" also returns some relevant hits.



An integral



Let us say that I am looking, for some reason, for the integral $int frac{sin(x)}{sin(x)+cos(x)},mathrm dx$.



Here are some examples of searches, which seem reasonable when searching for this particular integral:




  • integral frac "cos x+sin x"

  • integral frac "sin x+cos x"

  • integral frac "sin x/(cos x+sin x)"

  • integral over "sin x+cos x"

  • integral over "sin x+cos x"

  • integral frac "cos t+sin t"


Triangular numbers



In this posts I have mentioned some examples of the search for the formula $frac{n(n+1)}2$ for the $n$-th triangular numbers, although it was in a somehow different context.



Seaching in Google Books



Google Books contain a lot of data. Google usually do a good job in OCR-ing these books. However, they don't OCR Greek letters, math formulas, etc. Occasionally it is possible to guess how some math symbol would be OCR-ed.



For example:




  • $lambda$ could be recognized as A; "Ax" eigenvalue,"Mx=Ax" eigenvalue

  • $sigma$ could be recognized sa o; "o-algebra" Borel set

  • $pi$ could be recognized as n; "nr2" circle

  • $infty$ could be recognized as oo; "loo" functional analysis


Of course, this trick only has a very limited usability.






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    1












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    I have found this search engine useful, called (Uni)quation. You can search for mathematical expressions using TeX.






    share|cite|improve this answer









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      4 Answers
      4






      active

      oldest

      votes








      4 Answers
      4






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      1












      $begingroup$

      A few years ago we developed the search engine SearchOnMath, in order to search for mathematical formulas. Recently our tool has indexed both: Mathematics and MathOverflow.



      Currently, SearchOnMath is the mathematical search engine with the largest number of indexed sites (including Wikipedia, Wolfram MathWorld, among others ...).



      The following video illustrates how it works:
      SearchOnMath - a brief guide.



      EDIT:



      We’d love to hear your feedback.
      We also posted on Meta.






      share|cite|improve this answer











      $endgroup$













      • $begingroup$
        Thanks! I have searched $a^2+b^2=c^2$ but no results were found. Did I miss anything?
        $endgroup$
        – Zuriel
        Jan 31 at 20:32










      • $begingroup$
        Hi, please, enclose formulas between ${ }$. So, you should write as follows: ${a^2 + b^2 = c^2}$.
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:35












      • $begingroup$
        Searching for $a^2 + b^2 = c^2$
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:39










      • $begingroup$
        It works now! It is a great website and I appreciate your answer very much! This is exactly what I was asking for. I am pleasantly surprised to find that it also works for ${E_0^*(G)}$. I wish I had seen your answer earlier.
        $endgroup$
        – Zuriel
        Jan 31 at 20:40












      • $begingroup$
        Thank you very much! :)
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:44
















      1












      $begingroup$

      A few years ago we developed the search engine SearchOnMath, in order to search for mathematical formulas. Recently our tool has indexed both: Mathematics and MathOverflow.



      Currently, SearchOnMath is the mathematical search engine with the largest number of indexed sites (including Wikipedia, Wolfram MathWorld, among others ...).



      The following video illustrates how it works:
      SearchOnMath - a brief guide.



      EDIT:



      We’d love to hear your feedback.
      We also posted on Meta.






      share|cite|improve this answer











      $endgroup$













      • $begingroup$
        Thanks! I have searched $a^2+b^2=c^2$ but no results were found. Did I miss anything?
        $endgroup$
        – Zuriel
        Jan 31 at 20:32










      • $begingroup$
        Hi, please, enclose formulas between ${ }$. So, you should write as follows: ${a^2 + b^2 = c^2}$.
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:35












      • $begingroup$
        Searching for $a^2 + b^2 = c^2$
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:39










      • $begingroup$
        It works now! It is a great website and I appreciate your answer very much! This is exactly what I was asking for. I am pleasantly surprised to find that it also works for ${E_0^*(G)}$. I wish I had seen your answer earlier.
        $endgroup$
        – Zuriel
        Jan 31 at 20:40












      • $begingroup$
        Thank you very much! :)
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:44














      1












      1








      1





      $begingroup$

      A few years ago we developed the search engine SearchOnMath, in order to search for mathematical formulas. Recently our tool has indexed both: Mathematics and MathOverflow.



      Currently, SearchOnMath is the mathematical search engine with the largest number of indexed sites (including Wikipedia, Wolfram MathWorld, among others ...).



      The following video illustrates how it works:
      SearchOnMath - a brief guide.



      EDIT:



      We’d love to hear your feedback.
      We also posted on Meta.






      share|cite|improve this answer











      $endgroup$



      A few years ago we developed the search engine SearchOnMath, in order to search for mathematical formulas. Recently our tool has indexed both: Mathematics and MathOverflow.



      Currently, SearchOnMath is the mathematical search engine with the largest number of indexed sites (including Wikipedia, Wolfram MathWorld, among others ...).



      The following video illustrates how it works:
      SearchOnMath - a brief guide.



      EDIT:



      We’d love to hear your feedback.
      We also posted on Meta.







      share|cite|improve this answer














      share|cite|improve this answer



      share|cite|improve this answer








      edited Feb 1 at 21:24

























      answered Jan 31 at 20:27









      Flavio GonzagaFlavio Gonzaga

      264




      264












      • $begingroup$
        Thanks! I have searched $a^2+b^2=c^2$ but no results were found. Did I miss anything?
        $endgroup$
        – Zuriel
        Jan 31 at 20:32










      • $begingroup$
        Hi, please, enclose formulas between ${ }$. So, you should write as follows: ${a^2 + b^2 = c^2}$.
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:35












      • $begingroup$
        Searching for $a^2 + b^2 = c^2$
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:39










      • $begingroup$
        It works now! It is a great website and I appreciate your answer very much! This is exactly what I was asking for. I am pleasantly surprised to find that it also works for ${E_0^*(G)}$. I wish I had seen your answer earlier.
        $endgroup$
        – Zuriel
        Jan 31 at 20:40












      • $begingroup$
        Thank you very much! :)
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:44


















      • $begingroup$
        Thanks! I have searched $a^2+b^2=c^2$ but no results were found. Did I miss anything?
        $endgroup$
        – Zuriel
        Jan 31 at 20:32










      • $begingroup$
        Hi, please, enclose formulas between ${ }$. So, you should write as follows: ${a^2 + b^2 = c^2}$.
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:35












      • $begingroup$
        Searching for $a^2 + b^2 = c^2$
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:39










      • $begingroup$
        It works now! It is a great website and I appreciate your answer very much! This is exactly what I was asking for. I am pleasantly surprised to find that it also works for ${E_0^*(G)}$. I wish I had seen your answer earlier.
        $endgroup$
        – Zuriel
        Jan 31 at 20:40












      • $begingroup$
        Thank you very much! :)
        $endgroup$
        – Flavio Gonzaga
        Jan 31 at 20:44
















      $begingroup$
      Thanks! I have searched $a^2+b^2=c^2$ but no results were found. Did I miss anything?
      $endgroup$
      – Zuriel
      Jan 31 at 20:32




      $begingroup$
      Thanks! I have searched $a^2+b^2=c^2$ but no results were found. Did I miss anything?
      $endgroup$
      – Zuriel
      Jan 31 at 20:32












      $begingroup$
      Hi, please, enclose formulas between ${ }$. So, you should write as follows: ${a^2 + b^2 = c^2}$.
      $endgroup$
      – Flavio Gonzaga
      Jan 31 at 20:35






      $begingroup$
      Hi, please, enclose formulas between ${ }$. So, you should write as follows: ${a^2 + b^2 = c^2}$.
      $endgroup$
      – Flavio Gonzaga
      Jan 31 at 20:35














      $begingroup$
      Searching for $a^2 + b^2 = c^2$
      $endgroup$
      – Flavio Gonzaga
      Jan 31 at 20:39




      $begingroup$
      Searching for $a^2 + b^2 = c^2$
      $endgroup$
      – Flavio Gonzaga
      Jan 31 at 20:39












      $begingroup$
      It works now! It is a great website and I appreciate your answer very much! This is exactly what I was asking for. I am pleasantly surprised to find that it also works for ${E_0^*(G)}$. I wish I had seen your answer earlier.
      $endgroup$
      – Zuriel
      Jan 31 at 20:40






      $begingroup$
      It works now! It is a great website and I appreciate your answer very much! This is exactly what I was asking for. I am pleasantly surprised to find that it also works for ${E_0^*(G)}$. I wish I had seen your answer earlier.
      $endgroup$
      – Zuriel
      Jan 31 at 20:40














      $begingroup$
      Thank you very much! :)
      $endgroup$
      – Flavio Gonzaga
      Jan 31 at 20:44




      $begingroup$
      Thank you very much! :)
      $endgroup$
      – Flavio Gonzaga
      Jan 31 at 20:44











      3












      $begingroup$

      My general strategy is to iterate through related added keywords or to get rid of themes by using the feature to subtract words in the search. In particular, adding "Wikipedia", "StackExchange", "nLab" and things like that narrow search down strongly.



      For example, if you search for the Tits group (Wikipedia), then google image search for 'tits group math' or 'tits group diagram' is much closer to what you want than if you just search 'tits group' (google images).



      You can try to google LaTeX code, but it hardly helps. There is software like latexsearch for that, although from what I tried I wasn't amazed either. As a remark, there is detexify if you don't know how to generate some symbols. Often the related section of StackExchange questions matches the title well, so for $mathrm{e}^{ipi}$ you can surely find the concept via this box. What I also very often do is go to Wikipedia, a related concept, and click "what links here" (pages related to Jacques Tits) on the side.






      share|cite|improve this answer











      $endgroup$









      • 1




        $begingroup$
        I clicked by mistake your link to "tits group", and, oops!
        $endgroup$
        – Zuriel
        Dec 7 '14 at 11:51










      • $begingroup$
        @Zuriel: Whether you refer to abstract algebra or human bodies, there's no need to be afraid. But can I interest you for a Wiener sausage?
        $endgroup$
        – Nikolaj-K
        Dec 7 '14 at 12:07








      • 2




        $begingroup$
        @NikolajK: a similar problem happens if you do a google image search on "coset." The concept can be tricky when you first learn it, so when I was teaching group theory I wanted to see if there were any helpful images of cosets on the web that I could use in class. Needless to say, nothing I found was going to explain cosets to anybody.
        $endgroup$
        – KCd
        Jan 11 '15 at 10:34
















      3












      $begingroup$

      My general strategy is to iterate through related added keywords or to get rid of themes by using the feature to subtract words in the search. In particular, adding "Wikipedia", "StackExchange", "nLab" and things like that narrow search down strongly.



      For example, if you search for the Tits group (Wikipedia), then google image search for 'tits group math' or 'tits group diagram' is much closer to what you want than if you just search 'tits group' (google images).



      You can try to google LaTeX code, but it hardly helps. There is software like latexsearch for that, although from what I tried I wasn't amazed either. As a remark, there is detexify if you don't know how to generate some symbols. Often the related section of StackExchange questions matches the title well, so for $mathrm{e}^{ipi}$ you can surely find the concept via this box. What I also very often do is go to Wikipedia, a related concept, and click "what links here" (pages related to Jacques Tits) on the side.






      share|cite|improve this answer











      $endgroup$









      • 1




        $begingroup$
        I clicked by mistake your link to "tits group", and, oops!
        $endgroup$
        – Zuriel
        Dec 7 '14 at 11:51










      • $begingroup$
        @Zuriel: Whether you refer to abstract algebra or human bodies, there's no need to be afraid. But can I interest you for a Wiener sausage?
        $endgroup$
        – Nikolaj-K
        Dec 7 '14 at 12:07








      • 2




        $begingroup$
        @NikolajK: a similar problem happens if you do a google image search on "coset." The concept can be tricky when you first learn it, so when I was teaching group theory I wanted to see if there were any helpful images of cosets on the web that I could use in class. Needless to say, nothing I found was going to explain cosets to anybody.
        $endgroup$
        – KCd
        Jan 11 '15 at 10:34














      3












      3








      3





      $begingroup$

      My general strategy is to iterate through related added keywords or to get rid of themes by using the feature to subtract words in the search. In particular, adding "Wikipedia", "StackExchange", "nLab" and things like that narrow search down strongly.



      For example, if you search for the Tits group (Wikipedia), then google image search for 'tits group math' or 'tits group diagram' is much closer to what you want than if you just search 'tits group' (google images).



      You can try to google LaTeX code, but it hardly helps. There is software like latexsearch for that, although from what I tried I wasn't amazed either. As a remark, there is detexify if you don't know how to generate some symbols. Often the related section of StackExchange questions matches the title well, so for $mathrm{e}^{ipi}$ you can surely find the concept via this box. What I also very often do is go to Wikipedia, a related concept, and click "what links here" (pages related to Jacques Tits) on the side.






      share|cite|improve this answer











      $endgroup$



      My general strategy is to iterate through related added keywords or to get rid of themes by using the feature to subtract words in the search. In particular, adding "Wikipedia", "StackExchange", "nLab" and things like that narrow search down strongly.



      For example, if you search for the Tits group (Wikipedia), then google image search for 'tits group math' or 'tits group diagram' is much closer to what you want than if you just search 'tits group' (google images).



      You can try to google LaTeX code, but it hardly helps. There is software like latexsearch for that, although from what I tried I wasn't amazed either. As a remark, there is detexify if you don't know how to generate some symbols. Often the related section of StackExchange questions matches the title well, so for $mathrm{e}^{ipi}$ you can surely find the concept via this box. What I also very often do is go to Wikipedia, a related concept, and click "what links here" (pages related to Jacques Tits) on the side.







      share|cite|improve this answer














      share|cite|improve this answer



      share|cite|improve this answer








      edited Dec 7 '14 at 13:09









      Martin Sleziak

      45k10122277




      45k10122277










      answered Dec 7 '14 at 11:38









      Nikolaj-KNikolaj-K

      5,96723069




      5,96723069








      • 1




        $begingroup$
        I clicked by mistake your link to "tits group", and, oops!
        $endgroup$
        – Zuriel
        Dec 7 '14 at 11:51










      • $begingroup$
        @Zuriel: Whether you refer to abstract algebra or human bodies, there's no need to be afraid. But can I interest you for a Wiener sausage?
        $endgroup$
        – Nikolaj-K
        Dec 7 '14 at 12:07








      • 2




        $begingroup$
        @NikolajK: a similar problem happens if you do a google image search on "coset." The concept can be tricky when you first learn it, so when I was teaching group theory I wanted to see if there were any helpful images of cosets on the web that I could use in class. Needless to say, nothing I found was going to explain cosets to anybody.
        $endgroup$
        – KCd
        Jan 11 '15 at 10:34














      • 1




        $begingroup$
        I clicked by mistake your link to "tits group", and, oops!
        $endgroup$
        – Zuriel
        Dec 7 '14 at 11:51










      • $begingroup$
        @Zuriel: Whether you refer to abstract algebra or human bodies, there's no need to be afraid. But can I interest you for a Wiener sausage?
        $endgroup$
        – Nikolaj-K
        Dec 7 '14 at 12:07








      • 2




        $begingroup$
        @NikolajK: a similar problem happens if you do a google image search on "coset." The concept can be tricky when you first learn it, so when I was teaching group theory I wanted to see if there were any helpful images of cosets on the web that I could use in class. Needless to say, nothing I found was going to explain cosets to anybody.
        $endgroup$
        – KCd
        Jan 11 '15 at 10:34








      1




      1




      $begingroup$
      I clicked by mistake your link to "tits group", and, oops!
      $endgroup$
      – Zuriel
      Dec 7 '14 at 11:51




      $begingroup$
      I clicked by mistake your link to "tits group", and, oops!
      $endgroup$
      – Zuriel
      Dec 7 '14 at 11:51












      $begingroup$
      @Zuriel: Whether you refer to abstract algebra or human bodies, there's no need to be afraid. But can I interest you for a Wiener sausage?
      $endgroup$
      – Nikolaj-K
      Dec 7 '14 at 12:07






      $begingroup$
      @Zuriel: Whether you refer to abstract algebra or human bodies, there's no need to be afraid. But can I interest you for a Wiener sausage?
      $endgroup$
      – Nikolaj-K
      Dec 7 '14 at 12:07






      2




      2




      $begingroup$
      @NikolajK: a similar problem happens if you do a google image search on "coset." The concept can be tricky when you first learn it, so when I was teaching group theory I wanted to see if there were any helpful images of cosets on the web that I could use in class. Needless to say, nothing I found was going to explain cosets to anybody.
      $endgroup$
      – KCd
      Jan 11 '15 at 10:34




      $begingroup$
      @NikolajK: a similar problem happens if you do a google image search on "coset." The concept can be tricky when you first learn it, so when I was teaching group theory I wanted to see if there were any helpful images of cosets on the web that I could use in class. Needless to say, nothing I found was going to explain cosets to anybody.
      $endgroup$
      – KCd
      Jan 11 '15 at 10:34











      2












      $begingroup$

      In comments and other answers it was mentioned that there are some other search engines which could be better when searching for mathematical expressions. But I think that as nowadays several pages uses LaTex syntax (Wikipedia, this site, to mention just two important examples). Additionally, some people have also TeX-sources of their documents online. So it is not entirely hopeless to google simply for the LaTeX version of the formula. However, there is problem that many things can be typeset in LaTeX in many different ways. Another problem is choice of variables. It is often useful to restrict search to some site(s), for example, "x^2+y^2=z^2"+site:math.stackexchange.com+OR+site:wikipedia.org.



      Searching for TeX using Google



      Let us try some concrete examples.



      Continuum hypothesis



      For example, let us assume that I know that there was something like $aleph_1=2^{aleph_0}$ was mentioned in the class, but I do not know the name of this formula. (But, luckily enough, I know to typeset it in TeX.)



      If I try some reasonable search queries, for example:




      • "aleph_1" "2^{aleph_0}"

      • "aleph_1=2^{aleph_0}"


      • "2^{aleph_0}=aleph_1",

      • "aleph_1" "mathfrak c"


      in all of them we can find at least some things related to continuum hypothesis.



      Euler's formula



      You mentioned Euler's formula. Simply searching for "e^{ipi}" returns Wikipedia article about Euler's identity among the top results. Searching for "e^{pi i}" also returns some relevant hits.



      An integral



      Let us say that I am looking, for some reason, for the integral $int frac{sin(x)}{sin(x)+cos(x)},mathrm dx$.



      Here are some examples of searches, which seem reasonable when searching for this particular integral:




      • integral frac "cos x+sin x"

      • integral frac "sin x+cos x"

      • integral frac "sin x/(cos x+sin x)"

      • integral over "sin x+cos x"

      • integral over "sin x+cos x"

      • integral frac "cos t+sin t"


      Triangular numbers



      In this posts I have mentioned some examples of the search for the formula $frac{n(n+1)}2$ for the $n$-th triangular numbers, although it was in a somehow different context.



      Seaching in Google Books



      Google Books contain a lot of data. Google usually do a good job in OCR-ing these books. However, they don't OCR Greek letters, math formulas, etc. Occasionally it is possible to guess how some math symbol would be OCR-ed.



      For example:




      • $lambda$ could be recognized as A; "Ax" eigenvalue,"Mx=Ax" eigenvalue

      • $sigma$ could be recognized sa o; "o-algebra" Borel set

      • $pi$ could be recognized as n; "nr2" circle

      • $infty$ could be recognized as oo; "loo" functional analysis


      Of course, this trick only has a very limited usability.






      share|cite|improve this answer











      $endgroup$


















        2












        $begingroup$

        In comments and other answers it was mentioned that there are some other search engines which could be better when searching for mathematical expressions. But I think that as nowadays several pages uses LaTex syntax (Wikipedia, this site, to mention just two important examples). Additionally, some people have also TeX-sources of their documents online. So it is not entirely hopeless to google simply for the LaTeX version of the formula. However, there is problem that many things can be typeset in LaTeX in many different ways. Another problem is choice of variables. It is often useful to restrict search to some site(s), for example, "x^2+y^2=z^2"+site:math.stackexchange.com+OR+site:wikipedia.org.



        Searching for TeX using Google



        Let us try some concrete examples.



        Continuum hypothesis



        For example, let us assume that I know that there was something like $aleph_1=2^{aleph_0}$ was mentioned in the class, but I do not know the name of this formula. (But, luckily enough, I know to typeset it in TeX.)



        If I try some reasonable search queries, for example:




        • "aleph_1" "2^{aleph_0}"

        • "aleph_1=2^{aleph_0}"


        • "2^{aleph_0}=aleph_1",

        • "aleph_1" "mathfrak c"


        in all of them we can find at least some things related to continuum hypothesis.



        Euler's formula



        You mentioned Euler's formula. Simply searching for "e^{ipi}" returns Wikipedia article about Euler's identity among the top results. Searching for "e^{pi i}" also returns some relevant hits.



        An integral



        Let us say that I am looking, for some reason, for the integral $int frac{sin(x)}{sin(x)+cos(x)},mathrm dx$.



        Here are some examples of searches, which seem reasonable when searching for this particular integral:




        • integral frac "cos x+sin x"

        • integral frac "sin x+cos x"

        • integral frac "sin x/(cos x+sin x)"

        • integral over "sin x+cos x"

        • integral over "sin x+cos x"

        • integral frac "cos t+sin t"


        Triangular numbers



        In this posts I have mentioned some examples of the search for the formula $frac{n(n+1)}2$ for the $n$-th triangular numbers, although it was in a somehow different context.



        Seaching in Google Books



        Google Books contain a lot of data. Google usually do a good job in OCR-ing these books. However, they don't OCR Greek letters, math formulas, etc. Occasionally it is possible to guess how some math symbol would be OCR-ed.



        For example:




        • $lambda$ could be recognized as A; "Ax" eigenvalue,"Mx=Ax" eigenvalue

        • $sigma$ could be recognized sa o; "o-algebra" Borel set

        • $pi$ could be recognized as n; "nr2" circle

        • $infty$ could be recognized as oo; "loo" functional analysis


        Of course, this trick only has a very limited usability.






        share|cite|improve this answer











        $endgroup$
















          2












          2








          2





          $begingroup$

          In comments and other answers it was mentioned that there are some other search engines which could be better when searching for mathematical expressions. But I think that as nowadays several pages uses LaTex syntax (Wikipedia, this site, to mention just two important examples). Additionally, some people have also TeX-sources of their documents online. So it is not entirely hopeless to google simply for the LaTeX version of the formula. However, there is problem that many things can be typeset in LaTeX in many different ways. Another problem is choice of variables. It is often useful to restrict search to some site(s), for example, "x^2+y^2=z^2"+site:math.stackexchange.com+OR+site:wikipedia.org.



          Searching for TeX using Google



          Let us try some concrete examples.



          Continuum hypothesis



          For example, let us assume that I know that there was something like $aleph_1=2^{aleph_0}$ was mentioned in the class, but I do not know the name of this formula. (But, luckily enough, I know to typeset it in TeX.)



          If I try some reasonable search queries, for example:




          • "aleph_1" "2^{aleph_0}"

          • "aleph_1=2^{aleph_0}"


          • "2^{aleph_0}=aleph_1",

          • "aleph_1" "mathfrak c"


          in all of them we can find at least some things related to continuum hypothesis.



          Euler's formula



          You mentioned Euler's formula. Simply searching for "e^{ipi}" returns Wikipedia article about Euler's identity among the top results. Searching for "e^{pi i}" also returns some relevant hits.



          An integral



          Let us say that I am looking, for some reason, for the integral $int frac{sin(x)}{sin(x)+cos(x)},mathrm dx$.



          Here are some examples of searches, which seem reasonable when searching for this particular integral:




          • integral frac "cos x+sin x"

          • integral frac "sin x+cos x"

          • integral frac "sin x/(cos x+sin x)"

          • integral over "sin x+cos x"

          • integral over "sin x+cos x"

          • integral frac "cos t+sin t"


          Triangular numbers



          In this posts I have mentioned some examples of the search for the formula $frac{n(n+1)}2$ for the $n$-th triangular numbers, although it was in a somehow different context.



          Seaching in Google Books



          Google Books contain a lot of data. Google usually do a good job in OCR-ing these books. However, they don't OCR Greek letters, math formulas, etc. Occasionally it is possible to guess how some math symbol would be OCR-ed.



          For example:




          • $lambda$ could be recognized as A; "Ax" eigenvalue,"Mx=Ax" eigenvalue

          • $sigma$ could be recognized sa o; "o-algebra" Borel set

          • $pi$ could be recognized as n; "nr2" circle

          • $infty$ could be recognized as oo; "loo" functional analysis


          Of course, this trick only has a very limited usability.






          share|cite|improve this answer











          $endgroup$



          In comments and other answers it was mentioned that there are some other search engines which could be better when searching for mathematical expressions. But I think that as nowadays several pages uses LaTex syntax (Wikipedia, this site, to mention just two important examples). Additionally, some people have also TeX-sources of their documents online. So it is not entirely hopeless to google simply for the LaTeX version of the formula. However, there is problem that many things can be typeset in LaTeX in many different ways. Another problem is choice of variables. It is often useful to restrict search to some site(s), for example, "x^2+y^2=z^2"+site:math.stackexchange.com+OR+site:wikipedia.org.



          Searching for TeX using Google



          Let us try some concrete examples.



          Continuum hypothesis



          For example, let us assume that I know that there was something like $aleph_1=2^{aleph_0}$ was mentioned in the class, but I do not know the name of this formula. (But, luckily enough, I know to typeset it in TeX.)



          If I try some reasonable search queries, for example:




          • "aleph_1" "2^{aleph_0}"

          • "aleph_1=2^{aleph_0}"


          • "2^{aleph_0}=aleph_1",

          • "aleph_1" "mathfrak c"


          in all of them we can find at least some things related to continuum hypothesis.



          Euler's formula



          You mentioned Euler's formula. Simply searching for "e^{ipi}" returns Wikipedia article about Euler's identity among the top results. Searching for "e^{pi i}" also returns some relevant hits.



          An integral



          Let us say that I am looking, for some reason, for the integral $int frac{sin(x)}{sin(x)+cos(x)},mathrm dx$.



          Here are some examples of searches, which seem reasonable when searching for this particular integral:




          • integral frac "cos x+sin x"

          • integral frac "sin x+cos x"

          • integral frac "sin x/(cos x+sin x)"

          • integral over "sin x+cos x"

          • integral over "sin x+cos x"

          • integral frac "cos t+sin t"


          Triangular numbers



          In this posts I have mentioned some examples of the search for the formula $frac{n(n+1)}2$ for the $n$-th triangular numbers, although it was in a somehow different context.



          Seaching in Google Books



          Google Books contain a lot of data. Google usually do a good job in OCR-ing these books. However, they don't OCR Greek letters, math formulas, etc. Occasionally it is possible to guess how some math symbol would be OCR-ed.



          For example:




          • $lambda$ could be recognized as A; "Ax" eigenvalue,"Mx=Ax" eigenvalue

          • $sigma$ could be recognized sa o; "o-algebra" Borel set

          • $pi$ could be recognized as n; "nr2" circle

          • $infty$ could be recognized as oo; "loo" functional analysis


          Of course, this trick only has a very limited usability.







          share|cite|improve this answer














          share|cite|improve this answer



          share|cite|improve this answer








          edited Jul 16 '15 at 11:34

























          answered Jan 11 '15 at 10:23









          Martin SleziakMartin Sleziak

          45k10122277




          45k10122277























              1












              $begingroup$

              I have found this search engine useful, called (Uni)quation. You can search for mathematical expressions using TeX.






              share|cite|improve this answer









              $endgroup$


















                1












                $begingroup$

                I have found this search engine useful, called (Uni)quation. You can search for mathematical expressions using TeX.






                share|cite|improve this answer









                $endgroup$
















                  1












                  1








                  1





                  $begingroup$

                  I have found this search engine useful, called (Uni)quation. You can search for mathematical expressions using TeX.






                  share|cite|improve this answer









                  $endgroup$



                  I have found this search engine useful, called (Uni)quation. You can search for mathematical expressions using TeX.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Dec 8 '14 at 17:28









                  user50229user50229

                  1,38121838




                  1,38121838






























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