What does the notation of $1{a_i=b}$ mean in a summation?












0












$begingroup$


As seen in:



http://stanford.edu/~cpiech/cs221/img/kmeansMath.png



Does it mean sum for all elements that satisfy the condition? What does the 1 mean? Is there a name for this notation?










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$endgroup$












  • $begingroup$
    Seems like the indicator function. It is 1 if $c^{(i)}=j$, 0 otherwise.
    $endgroup$
    – Eduardo Elael
    Dec 11 '18 at 18:15












  • $begingroup$
    en.wikipedia.org/wiki/Indicator_function
    $endgroup$
    – pwerth
    Dec 11 '18 at 18:15
















0












$begingroup$


As seen in:



http://stanford.edu/~cpiech/cs221/img/kmeansMath.png



Does it mean sum for all elements that satisfy the condition? What does the 1 mean? Is there a name for this notation?










share|cite|improve this question









$endgroup$












  • $begingroup$
    Seems like the indicator function. It is 1 if $c^{(i)}=j$, 0 otherwise.
    $endgroup$
    – Eduardo Elael
    Dec 11 '18 at 18:15












  • $begingroup$
    en.wikipedia.org/wiki/Indicator_function
    $endgroup$
    – pwerth
    Dec 11 '18 at 18:15














0












0








0





$begingroup$


As seen in:



http://stanford.edu/~cpiech/cs221/img/kmeansMath.png



Does it mean sum for all elements that satisfy the condition? What does the 1 mean? Is there a name for this notation?










share|cite|improve this question









$endgroup$




As seen in:



http://stanford.edu/~cpiech/cs221/img/kmeansMath.png



Does it mean sum for all elements that satisfy the condition? What does the 1 mean? Is there a name for this notation?







summation notation






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 11 '18 at 18:12









johan456789johan456789

11




11












  • $begingroup$
    Seems like the indicator function. It is 1 if $c^{(i)}=j$, 0 otherwise.
    $endgroup$
    – Eduardo Elael
    Dec 11 '18 at 18:15












  • $begingroup$
    en.wikipedia.org/wiki/Indicator_function
    $endgroup$
    – pwerth
    Dec 11 '18 at 18:15


















  • $begingroup$
    Seems like the indicator function. It is 1 if $c^{(i)}=j$, 0 otherwise.
    $endgroup$
    – Eduardo Elael
    Dec 11 '18 at 18:15












  • $begingroup$
    en.wikipedia.org/wiki/Indicator_function
    $endgroup$
    – pwerth
    Dec 11 '18 at 18:15
















$begingroup$
Seems like the indicator function. It is 1 if $c^{(i)}=j$, 0 otherwise.
$endgroup$
– Eduardo Elael
Dec 11 '18 at 18:15






$begingroup$
Seems like the indicator function. It is 1 if $c^{(i)}=j$, 0 otherwise.
$endgroup$
– Eduardo Elael
Dec 11 '18 at 18:15














$begingroup$
en.wikipedia.org/wiki/Indicator_function
$endgroup$
– pwerth
Dec 11 '18 at 18:15




$begingroup$
en.wikipedia.org/wiki/Indicator_function
$endgroup$
– pwerth
Dec 11 '18 at 18:15










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