How do I operate on a DataFrame with a Series for every column

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
7
down vote

favorite
2












Objective and Motivation



I've seen this kind of question several times over and have seen many other questions that involve some element of this. Most recently, I had to spend a bit of time explaining this concept in comments while looking for an appropriate canonical Q&A. I did not find one and so I thought I'd write one.



This question usually arises with respect to a specific operation but equally applies to most arithmetic operations.



  • How do I subtract a Series from every column in a DataFrame?

  • How do I add a Series from every column in a DataFrame?

  • How do I multiply a Series from every column in a DataFrame?

  • How do I divide a Series from every column in a DataFrame?

The Question



Given a Series s and DataFrame df. How do I operate on each column of df with s?



df = pd.DataFrame(
[[1, 2, 3], [4, 5, 6]],
index=[0, 1],
columns=['a', 'b', 'c']
)

s = pd.Series([3, 14], index=[0, 1])


When I attempt to add them, I get all np.nan



df + s

a b c 0 1
0 NaN NaN NaN NaN NaN
1 NaN NaN NaN NaN NaN


What I thought I should get is



 a b c
0 4 5 6
1 18 19 20









share|improve this question

























    up vote
    7
    down vote

    favorite
    2












    Objective and Motivation



    I've seen this kind of question several times over and have seen many other questions that involve some element of this. Most recently, I had to spend a bit of time explaining this concept in comments while looking for an appropriate canonical Q&A. I did not find one and so I thought I'd write one.



    This question usually arises with respect to a specific operation but equally applies to most arithmetic operations.



    • How do I subtract a Series from every column in a DataFrame?

    • How do I add a Series from every column in a DataFrame?

    • How do I multiply a Series from every column in a DataFrame?

    • How do I divide a Series from every column in a DataFrame?

    The Question



    Given a Series s and DataFrame df. How do I operate on each column of df with s?



    df = pd.DataFrame(
    [[1, 2, 3], [4, 5, 6]],
    index=[0, 1],
    columns=['a', 'b', 'c']
    )

    s = pd.Series([3, 14], index=[0, 1])


    When I attempt to add them, I get all np.nan



    df + s

    a b c 0 1
    0 NaN NaN NaN NaN NaN
    1 NaN NaN NaN NaN NaN


    What I thought I should get is



     a b c
    0 4 5 6
    1 18 19 20









    share|improve this question























      up vote
      7
      down vote

      favorite
      2









      up vote
      7
      down vote

      favorite
      2






      2





      Objective and Motivation



      I've seen this kind of question several times over and have seen many other questions that involve some element of this. Most recently, I had to spend a bit of time explaining this concept in comments while looking for an appropriate canonical Q&A. I did not find one and so I thought I'd write one.



      This question usually arises with respect to a specific operation but equally applies to most arithmetic operations.



      • How do I subtract a Series from every column in a DataFrame?

      • How do I add a Series from every column in a DataFrame?

      • How do I multiply a Series from every column in a DataFrame?

      • How do I divide a Series from every column in a DataFrame?

      The Question



      Given a Series s and DataFrame df. How do I operate on each column of df with s?



      df = pd.DataFrame(
      [[1, 2, 3], [4, 5, 6]],
      index=[0, 1],
      columns=['a', 'b', 'c']
      )

      s = pd.Series([3, 14], index=[0, 1])


      When I attempt to add them, I get all np.nan



      df + s

      a b c 0 1
      0 NaN NaN NaN NaN NaN
      1 NaN NaN NaN NaN NaN


      What I thought I should get is



       a b c
      0 4 5 6
      1 18 19 20









      share|improve this question













      Objective and Motivation



      I've seen this kind of question several times over and have seen many other questions that involve some element of this. Most recently, I had to spend a bit of time explaining this concept in comments while looking for an appropriate canonical Q&A. I did not find one and so I thought I'd write one.



      This question usually arises with respect to a specific operation but equally applies to most arithmetic operations.



      • How do I subtract a Series from every column in a DataFrame?

      • How do I add a Series from every column in a DataFrame?

      • How do I multiply a Series from every column in a DataFrame?

      • How do I divide a Series from every column in a DataFrame?

      The Question



      Given a Series s and DataFrame df. How do I operate on each column of df with s?



      df = pd.DataFrame(
      [[1, 2, 3], [4, 5, 6]],
      index=[0, 1],
      columns=['a', 'b', 'c']
      )

      s = pd.Series([3, 14], index=[0, 1])


      When I attempt to add them, I get all np.nan



      df + s

      a b c 0 1
      0 NaN NaN NaN NaN NaN
      1 NaN NaN NaN NaN NaN


      What I thought I should get is



       a b c
      0 4 5 6
      1 18 19 20






      python pandas






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 2 hours ago









      piRSquared

      147k21130264




      147k21130264






















          2 Answers
          2






          active

          oldest

          votes

















          up vote
          8
          down vote













          Please bear the preamble. It's important to address some higher level concepts first. Since my motivation is to share knowledge and teach, I wanted to make this as clear as possible.




          It is helpful to create a mental model of what Series and DataFrame objects are.



          Anatomy of a Series



          A Series should be thought of as an enhanced dictionary. This isn't always a perfect analogy, but we'll start here. Also, there are other analogies that you can make but I am targetting a dictionary in order to demonstrate the purpose of this post.



          index



          These are the keys that we can reference to get at the corresponding values. When the elements of the index are unique, the comparison to a dictionary becomes very close.



          values



          These are the corresponding values that are keyed by the index.



          Anatomy of a DataFrame



          A DataFrame should be thought of as a dictionary of Series or a Series of Series. In this case the keys are the column names and the values are the columns themselves as Series objects. Each Series agrees to share the same index which is the index of the DataFrame.



          columns



          These are the keys that we can reference to get at the corresponding Series.



          index



          This the the index that all of the Series values agree to share.



          Note: RE: columns and index objects



          They are the same kind of things. A DataFrames index can be used as another DataFrames columns. In fact, this happens when you do df.T to get a transpose.



          values



          This is a 2 dimensional array that contains the data in a DataFrame. The reality is that values is NOT what is stored inside the DataFrame object. (Well sometimes it is, but I'm not about to try to describe the block mananager). The point is, it is better to think of this as access to a 2 dimensional array of the data.




          Define Sample Data



          These are sample pandas.Index objects that can be used as the index of a Series or DataFrame or can be used as the columns of a DataFrame



          idx_lower = pd.Index([*'abcde'], name='lower')
          idx_range = pd.RangeIndex(5, name='range')


          These are sample pandas.Series objects that use the pandas.Index objects above



          s0 = pd.Series(range(10, 15), idx_lower)
          s1 = pd.Series(range(30, 40, 2), idx_lower)
          s2 = pd.Series(range(50, 10, -8), idx_range)


          These are sample pandas.DataFrame objects that use the pandas.Index objects above



          df0 = pd.DataFrame(100, index=idx_range, columns=idx_lower)
          df1 = pd.DataFrame(
          np.arange(np.product(df0.shape)).reshape(df0.shape),
          index=idx_range, columns=idx_lower
          )




          Series on Series



          When operating on two Series, the alignment is obvious. You align the index of one Series with the index of the other.



          s1 + s0

          lower
          a 40
          b 43
          c 46
          d 49
          e 52
          dtype: int64


          Which is the same as when I randomly shuffle one before I operate. The indices will sitll align.



          s1 + s0.sample(frac=1)

          lower
          a 40
          b 43
          c 46
          d 49
          e 52
          dtype: int64


          And is NOT the case when instead I operate with the values of the shuffled Series. In this case, Pandas doesn't have the index to align with and therefore operates from a positions.



          s1 + s0.sample(frac=1).values

          lower
          a 42
          b 42
          c 47
          d 50
          e 49
          dtype: int64


          Add a scalar



          s1 + 1

          lower
          a 31
          b 33
          c 35
          d 37
          e 39
          dtype: int64




          DataFrame on DataFrame



          Similar is true when operating between two DataFrames

          The alignment is obvious and does what we think it should do



          df0 + df1

          lower a b c d e
          range
          0 100 101 102 103 104
          1 105 106 107 108 109
          2 110 111 112 113 114
          3 115 116 117 118 119
          4 120 121 122 123 124


          Shuffle second DataFrame on both axes. The index and columns will still align and give us the same thing.



          df0 + df1.sample(frac=1).sample(frac=1, axis=1)

          lower a b c d e
          range
          0 100 101 102 103 104
          1 105 106 107 108 109
          2 110 111 112 113 114
          3 115 116 117 118 119
          4 120 121 122 123 124


          Same shuffling but add the array and not the DataFrame. No longer aligned and will get different results.



          df0 + df1.sample(frac=1).sample(frac=1, axis=1).values

          lower a b c d e
          range
          0 123 124 121 122 120
          1 118 119 116 117 115
          2 108 109 106 107 105
          3 103 104 101 102 100
          4 113 114 111 112 110


          Add 1 dimensional array. Will align with columns and broadcast across rows.



          df0 + [*range(2, df0.shape[1] + 2)]

          lower a b c d e
          range
          0 102 103 104 105 106
          1 102 103 104 105 106
          2 102 103 104 105 106
          3 102 103 104 105 106
          4 102 103 104 105 106


          Add a scalar. Nothing to align with so broadcasts to everything



          df0 + 1

          lower a b c d e
          range
          0 101 101 101 101 101
          1 101 101 101 101 101
          2 101 101 101 101 101
          3 101 101 101 101 101
          4 101 101 101 101 101




          DataFrame on Series



          If DataFrames are to be though of as dictionaries of Series and Series are to be thought of as dictionaries of values, then it is natural that when operating between a DataFrame and Series that they should be aligned by their "keys".



          s0:
          lower a b c d e
          10 11 12 13 14

          df0:
          lower a b c d e
          range
          0 100 100 100 100 100
          1 100 100 100 100 100
          2 100 100 100 100 100
          3 100 100 100 100 100
          4 100 100 100 100 100


          And when we operate, the 10 in s0['a'] gets added to the entire column of df0['a']



          df0 + s0

          lower a b c d e
          range
          0 110 111 112 113 114
          1 110 111 112 113 114
          2 110 111 112 113 114
          3 110 111 112 113 114
          4 110 111 112 113 114


          Heart of the issue and point of the post



          What about if I want s2 and df0?



          s2: df0:

          | lower a b c d e
          range | range
          0 50 | 0 100 100 100 100 100
          1 42 | 1 100 100 100 100 100
          2 34 | 2 100 100 100 100 100
          3 26 | 3 100 100 100 100 100
          4 18 | 4 100 100 100 100 100


          When I operate, I get the all np.nan as cited in the question



          df0 + s2

          a b c d e 0 1 2 3 4
          range
          0 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
          1 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
          2 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
          3 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
          4 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN


          This does not produce what we wanted. Because Pandas is aligning the index of s2 with the columns of df0. The columns of the result includes a union of the index of s2 and the columns of df0.



          We could fake it out with tricky transposition



          (df0.T + s2).T

          lower a b c d e
          range
          0 150 150 150 150 150
          1 142 142 142 142 142
          2 134 134 134 134 134
          3 126 126 126 126 126
          4 118 118 118 118 118


          But it turns out Pandas has a better solution. There are operation methods that allow us to pass an axis argument to specify the axis to align with.



          - sub
          + add
          * mul
          / div
          ** pow



          And so the answer is simply



          df0.add(s2, axis='index')

          lower a b c d e
          range
          0 150 150 150 150 150
          1 142 142 142 142 142
          2 134 134 134 134 134
          3 126 126 126 126 126
          4 118 118 118 118 118


          Turns out axis='index' is synomynous with axis=0.

          As is axis='columns' synomynous with axis=1



          df0.add(s2, axis=0)

          lower a b c d e
          range
          0 150 150 150 150 150
          1 142 142 142 142 142
          2 134 134 134 134 134
          3 126 126 126 126 126
          4 118 118 118 118 118



          Rest of the operations



          df0.sub(s2, axis=0)

          lower a b c d e
          range
          0 50 50 50 50 50
          1 58 58 58 58 58
          2 66 66 66 66 66
          3 74 74 74 74 74
          4 82 82 82 82 82



          df0.mul(s2, axis=0)

          lower a b c d e
          range
          0 5000 5000 5000 5000 5000
          1 4200 4200 4200 4200 4200
          2 3400 3400 3400 3400 3400
          3 2600 2600 2600 2600 2600
          4 1800 1800 1800 1800 1800



          df0.div(s2, axis=0)

          lower a b c d e
          range
          0 2.000000 2.000000 2.000000 2.000000 2.000000
          1 2.380952 2.380952 2.380952 2.380952 2.380952
          2 2.941176 2.941176 2.941176 2.941176 2.941176
          3 3.846154 3.846154 3.846154 3.846154 3.846154
          4 5.555556 5.555556 5.555556 5.555556 5.555556



          df0.pow(1 / s2, axis=0)

          lower a b c d e
          range
          0 1.096478 1.096478 1.096478 1.096478 1.096478
          1 1.115884 1.115884 1.115884 1.115884 1.115884
          2 1.145048 1.145048 1.145048 1.145048 1.145048
          3 1.193777 1.193777 1.193777 1.193777 1.193777
          4 1.291550 1.291550 1.291550 1.291550 1.291550





          share|improve this answer


















          • 1




            Another good resource for me to mark dup for future questions . :-)
            – W-B
            16 mins ago

















          up vote
          2
          down vote













          I prefer the method mentioned by @piSquared (i.e. df.add(s, axis=0)), but another method uses apply together with lambda to perform an action on each column in the dataframe:



          >>>> df.apply(lambda col: col + s)
          a b c
          0 4 5 6
          1 18 19 20


          To apply the lambda function to the rows, use axis=1:



          >>> df.T.apply(lambda row: row + s, axis=1)
          0 1
          a 4 18
          b 5 19
          c 6 20


          This method could be useful when the transformation is more complex, e.g.:



          df.apply(lambda col: 0.5 * col ** 2 + 2 * s - 3)





          share|improve this answer






















            Your Answer






            StackExchange.ifUsing("editor", function ()
            StackExchange.using("externalEditor", function ()
            StackExchange.using("snippets", function ()
            StackExchange.snippets.init();
            );
            );
            , "code-snippets");

            StackExchange.ready(function()
            var channelOptions =
            tags: "".split(" "),
            id: "1"
            ;
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function()
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled)
            StackExchange.using("snippets", function()
            createEditor();
            );

            else
            createEditor();

            );

            function createEditor()
            StackExchange.prepareEditor(
            heartbeatType: 'answer',
            convertImagesToLinks: true,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            bindNavPrevention: true,
            postfix: "",
            imageUploader:
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            ,
            onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            );



            );













             

            draft saved


            draft discarded


















            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53217607%2fhow-do-i-operate-on-a-dataframe-with-a-series-for-every-column%23new-answer', 'question_page');

            );

            Post as a guest






























            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            8
            down vote













            Please bear the preamble. It's important to address some higher level concepts first. Since my motivation is to share knowledge and teach, I wanted to make this as clear as possible.




            It is helpful to create a mental model of what Series and DataFrame objects are.



            Anatomy of a Series



            A Series should be thought of as an enhanced dictionary. This isn't always a perfect analogy, but we'll start here. Also, there are other analogies that you can make but I am targetting a dictionary in order to demonstrate the purpose of this post.



            index



            These are the keys that we can reference to get at the corresponding values. When the elements of the index are unique, the comparison to a dictionary becomes very close.



            values



            These are the corresponding values that are keyed by the index.



            Anatomy of a DataFrame



            A DataFrame should be thought of as a dictionary of Series or a Series of Series. In this case the keys are the column names and the values are the columns themselves as Series objects. Each Series agrees to share the same index which is the index of the DataFrame.



            columns



            These are the keys that we can reference to get at the corresponding Series.



            index



            This the the index that all of the Series values agree to share.



            Note: RE: columns and index objects



            They are the same kind of things. A DataFrames index can be used as another DataFrames columns. In fact, this happens when you do df.T to get a transpose.



            values



            This is a 2 dimensional array that contains the data in a DataFrame. The reality is that values is NOT what is stored inside the DataFrame object. (Well sometimes it is, but I'm not about to try to describe the block mananager). The point is, it is better to think of this as access to a 2 dimensional array of the data.




            Define Sample Data



            These are sample pandas.Index objects that can be used as the index of a Series or DataFrame or can be used as the columns of a DataFrame



            idx_lower = pd.Index([*'abcde'], name='lower')
            idx_range = pd.RangeIndex(5, name='range')


            These are sample pandas.Series objects that use the pandas.Index objects above



            s0 = pd.Series(range(10, 15), idx_lower)
            s1 = pd.Series(range(30, 40, 2), idx_lower)
            s2 = pd.Series(range(50, 10, -8), idx_range)


            These are sample pandas.DataFrame objects that use the pandas.Index objects above



            df0 = pd.DataFrame(100, index=idx_range, columns=idx_lower)
            df1 = pd.DataFrame(
            np.arange(np.product(df0.shape)).reshape(df0.shape),
            index=idx_range, columns=idx_lower
            )




            Series on Series



            When operating on two Series, the alignment is obvious. You align the index of one Series with the index of the other.



            s1 + s0

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            Which is the same as when I randomly shuffle one before I operate. The indices will sitll align.



            s1 + s0.sample(frac=1)

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            And is NOT the case when instead I operate with the values of the shuffled Series. In this case, Pandas doesn't have the index to align with and therefore operates from a positions.



            s1 + s0.sample(frac=1).values

            lower
            a 42
            b 42
            c 47
            d 50
            e 49
            dtype: int64


            Add a scalar



            s1 + 1

            lower
            a 31
            b 33
            c 35
            d 37
            e 39
            dtype: int64




            DataFrame on DataFrame



            Similar is true when operating between two DataFrames

            The alignment is obvious and does what we think it should do



            df0 + df1

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Shuffle second DataFrame on both axes. The index and columns will still align and give us the same thing.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1)

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Same shuffling but add the array and not the DataFrame. No longer aligned and will get different results.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1).values

            lower a b c d e
            range
            0 123 124 121 122 120
            1 118 119 116 117 115
            2 108 109 106 107 105
            3 103 104 101 102 100
            4 113 114 111 112 110


            Add 1 dimensional array. Will align with columns and broadcast across rows.



            df0 + [*range(2, df0.shape[1] + 2)]

            lower a b c d e
            range
            0 102 103 104 105 106
            1 102 103 104 105 106
            2 102 103 104 105 106
            3 102 103 104 105 106
            4 102 103 104 105 106


            Add a scalar. Nothing to align with so broadcasts to everything



            df0 + 1

            lower a b c d e
            range
            0 101 101 101 101 101
            1 101 101 101 101 101
            2 101 101 101 101 101
            3 101 101 101 101 101
            4 101 101 101 101 101




            DataFrame on Series



            If DataFrames are to be though of as dictionaries of Series and Series are to be thought of as dictionaries of values, then it is natural that when operating between a DataFrame and Series that they should be aligned by their "keys".



            s0:
            lower a b c d e
            10 11 12 13 14

            df0:
            lower a b c d e
            range
            0 100 100 100 100 100
            1 100 100 100 100 100
            2 100 100 100 100 100
            3 100 100 100 100 100
            4 100 100 100 100 100


            And when we operate, the 10 in s0['a'] gets added to the entire column of df0['a']



            df0 + s0

            lower a b c d e
            range
            0 110 111 112 113 114
            1 110 111 112 113 114
            2 110 111 112 113 114
            3 110 111 112 113 114
            4 110 111 112 113 114


            Heart of the issue and point of the post



            What about if I want s2 and df0?



            s2: df0:

            | lower a b c d e
            range | range
            0 50 | 0 100 100 100 100 100
            1 42 | 1 100 100 100 100 100
            2 34 | 2 100 100 100 100 100
            3 26 | 3 100 100 100 100 100
            4 18 | 4 100 100 100 100 100


            When I operate, I get the all np.nan as cited in the question



            df0 + s2

            a b c d e 0 1 2 3 4
            range
            0 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            1 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            2 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            3 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            4 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN


            This does not produce what we wanted. Because Pandas is aligning the index of s2 with the columns of df0. The columns of the result includes a union of the index of s2 and the columns of df0.



            We could fake it out with tricky transposition



            (df0.T + s2).T

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            But it turns out Pandas has a better solution. There are operation methods that allow us to pass an axis argument to specify the axis to align with.



            - sub
            + add
            * mul
            / div
            ** pow



            And so the answer is simply



            df0.add(s2, axis='index')

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            Turns out axis='index' is synomynous with axis=0.

            As is axis='columns' synomynous with axis=1



            df0.add(s2, axis=0)

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118



            Rest of the operations



            df0.sub(s2, axis=0)

            lower a b c d e
            range
            0 50 50 50 50 50
            1 58 58 58 58 58
            2 66 66 66 66 66
            3 74 74 74 74 74
            4 82 82 82 82 82



            df0.mul(s2, axis=0)

            lower a b c d e
            range
            0 5000 5000 5000 5000 5000
            1 4200 4200 4200 4200 4200
            2 3400 3400 3400 3400 3400
            3 2600 2600 2600 2600 2600
            4 1800 1800 1800 1800 1800



            df0.div(s2, axis=0)

            lower a b c d e
            range
            0 2.000000 2.000000 2.000000 2.000000 2.000000
            1 2.380952 2.380952 2.380952 2.380952 2.380952
            2 2.941176 2.941176 2.941176 2.941176 2.941176
            3 3.846154 3.846154 3.846154 3.846154 3.846154
            4 5.555556 5.555556 5.555556 5.555556 5.555556



            df0.pow(1 / s2, axis=0)

            lower a b c d e
            range
            0 1.096478 1.096478 1.096478 1.096478 1.096478
            1 1.115884 1.115884 1.115884 1.115884 1.115884
            2 1.145048 1.145048 1.145048 1.145048 1.145048
            3 1.193777 1.193777 1.193777 1.193777 1.193777
            4 1.291550 1.291550 1.291550 1.291550 1.291550





            share|improve this answer


















            • 1




              Another good resource for me to mark dup for future questions . :-)
              – W-B
              16 mins ago














            up vote
            8
            down vote













            Please bear the preamble. It's important to address some higher level concepts first. Since my motivation is to share knowledge and teach, I wanted to make this as clear as possible.




            It is helpful to create a mental model of what Series and DataFrame objects are.



            Anatomy of a Series



            A Series should be thought of as an enhanced dictionary. This isn't always a perfect analogy, but we'll start here. Also, there are other analogies that you can make but I am targetting a dictionary in order to demonstrate the purpose of this post.



            index



            These are the keys that we can reference to get at the corresponding values. When the elements of the index are unique, the comparison to a dictionary becomes very close.



            values



            These are the corresponding values that are keyed by the index.



            Anatomy of a DataFrame



            A DataFrame should be thought of as a dictionary of Series or a Series of Series. In this case the keys are the column names and the values are the columns themselves as Series objects. Each Series agrees to share the same index which is the index of the DataFrame.



            columns



            These are the keys that we can reference to get at the corresponding Series.



            index



            This the the index that all of the Series values agree to share.



            Note: RE: columns and index objects



            They are the same kind of things. A DataFrames index can be used as another DataFrames columns. In fact, this happens when you do df.T to get a transpose.



            values



            This is a 2 dimensional array that contains the data in a DataFrame. The reality is that values is NOT what is stored inside the DataFrame object. (Well sometimes it is, but I'm not about to try to describe the block mananager). The point is, it is better to think of this as access to a 2 dimensional array of the data.




            Define Sample Data



            These are sample pandas.Index objects that can be used as the index of a Series or DataFrame or can be used as the columns of a DataFrame



            idx_lower = pd.Index([*'abcde'], name='lower')
            idx_range = pd.RangeIndex(5, name='range')


            These are sample pandas.Series objects that use the pandas.Index objects above



            s0 = pd.Series(range(10, 15), idx_lower)
            s1 = pd.Series(range(30, 40, 2), idx_lower)
            s2 = pd.Series(range(50, 10, -8), idx_range)


            These are sample pandas.DataFrame objects that use the pandas.Index objects above



            df0 = pd.DataFrame(100, index=idx_range, columns=idx_lower)
            df1 = pd.DataFrame(
            np.arange(np.product(df0.shape)).reshape(df0.shape),
            index=idx_range, columns=idx_lower
            )




            Series on Series



            When operating on two Series, the alignment is obvious. You align the index of one Series with the index of the other.



            s1 + s0

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            Which is the same as when I randomly shuffle one before I operate. The indices will sitll align.



            s1 + s0.sample(frac=1)

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            And is NOT the case when instead I operate with the values of the shuffled Series. In this case, Pandas doesn't have the index to align with and therefore operates from a positions.



            s1 + s0.sample(frac=1).values

            lower
            a 42
            b 42
            c 47
            d 50
            e 49
            dtype: int64


            Add a scalar



            s1 + 1

            lower
            a 31
            b 33
            c 35
            d 37
            e 39
            dtype: int64




            DataFrame on DataFrame



            Similar is true when operating between two DataFrames

            The alignment is obvious and does what we think it should do



            df0 + df1

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Shuffle second DataFrame on both axes. The index and columns will still align and give us the same thing.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1)

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Same shuffling but add the array and not the DataFrame. No longer aligned and will get different results.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1).values

            lower a b c d e
            range
            0 123 124 121 122 120
            1 118 119 116 117 115
            2 108 109 106 107 105
            3 103 104 101 102 100
            4 113 114 111 112 110


            Add 1 dimensional array. Will align with columns and broadcast across rows.



            df0 + [*range(2, df0.shape[1] + 2)]

            lower a b c d e
            range
            0 102 103 104 105 106
            1 102 103 104 105 106
            2 102 103 104 105 106
            3 102 103 104 105 106
            4 102 103 104 105 106


            Add a scalar. Nothing to align with so broadcasts to everything



            df0 + 1

            lower a b c d e
            range
            0 101 101 101 101 101
            1 101 101 101 101 101
            2 101 101 101 101 101
            3 101 101 101 101 101
            4 101 101 101 101 101




            DataFrame on Series



            If DataFrames are to be though of as dictionaries of Series and Series are to be thought of as dictionaries of values, then it is natural that when operating between a DataFrame and Series that they should be aligned by their "keys".



            s0:
            lower a b c d e
            10 11 12 13 14

            df0:
            lower a b c d e
            range
            0 100 100 100 100 100
            1 100 100 100 100 100
            2 100 100 100 100 100
            3 100 100 100 100 100
            4 100 100 100 100 100


            And when we operate, the 10 in s0['a'] gets added to the entire column of df0['a']



            df0 + s0

            lower a b c d e
            range
            0 110 111 112 113 114
            1 110 111 112 113 114
            2 110 111 112 113 114
            3 110 111 112 113 114
            4 110 111 112 113 114


            Heart of the issue and point of the post



            What about if I want s2 and df0?



            s2: df0:

            | lower a b c d e
            range | range
            0 50 | 0 100 100 100 100 100
            1 42 | 1 100 100 100 100 100
            2 34 | 2 100 100 100 100 100
            3 26 | 3 100 100 100 100 100
            4 18 | 4 100 100 100 100 100


            When I operate, I get the all np.nan as cited in the question



            df0 + s2

            a b c d e 0 1 2 3 4
            range
            0 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            1 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            2 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            3 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            4 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN


            This does not produce what we wanted. Because Pandas is aligning the index of s2 with the columns of df0. The columns of the result includes a union of the index of s2 and the columns of df0.



            We could fake it out with tricky transposition



            (df0.T + s2).T

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            But it turns out Pandas has a better solution. There are operation methods that allow us to pass an axis argument to specify the axis to align with.



            - sub
            + add
            * mul
            / div
            ** pow



            And so the answer is simply



            df0.add(s2, axis='index')

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            Turns out axis='index' is synomynous with axis=0.

            As is axis='columns' synomynous with axis=1



            df0.add(s2, axis=0)

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118



            Rest of the operations



            df0.sub(s2, axis=0)

            lower a b c d e
            range
            0 50 50 50 50 50
            1 58 58 58 58 58
            2 66 66 66 66 66
            3 74 74 74 74 74
            4 82 82 82 82 82



            df0.mul(s2, axis=0)

            lower a b c d e
            range
            0 5000 5000 5000 5000 5000
            1 4200 4200 4200 4200 4200
            2 3400 3400 3400 3400 3400
            3 2600 2600 2600 2600 2600
            4 1800 1800 1800 1800 1800



            df0.div(s2, axis=0)

            lower a b c d e
            range
            0 2.000000 2.000000 2.000000 2.000000 2.000000
            1 2.380952 2.380952 2.380952 2.380952 2.380952
            2 2.941176 2.941176 2.941176 2.941176 2.941176
            3 3.846154 3.846154 3.846154 3.846154 3.846154
            4 5.555556 5.555556 5.555556 5.555556 5.555556



            df0.pow(1 / s2, axis=0)

            lower a b c d e
            range
            0 1.096478 1.096478 1.096478 1.096478 1.096478
            1 1.115884 1.115884 1.115884 1.115884 1.115884
            2 1.145048 1.145048 1.145048 1.145048 1.145048
            3 1.193777 1.193777 1.193777 1.193777 1.193777
            4 1.291550 1.291550 1.291550 1.291550 1.291550





            share|improve this answer


















            • 1




              Another good resource for me to mark dup for future questions . :-)
              – W-B
              16 mins ago












            up vote
            8
            down vote










            up vote
            8
            down vote









            Please bear the preamble. It's important to address some higher level concepts first. Since my motivation is to share knowledge and teach, I wanted to make this as clear as possible.




            It is helpful to create a mental model of what Series and DataFrame objects are.



            Anatomy of a Series



            A Series should be thought of as an enhanced dictionary. This isn't always a perfect analogy, but we'll start here. Also, there are other analogies that you can make but I am targetting a dictionary in order to demonstrate the purpose of this post.



            index



            These are the keys that we can reference to get at the corresponding values. When the elements of the index are unique, the comparison to a dictionary becomes very close.



            values



            These are the corresponding values that are keyed by the index.



            Anatomy of a DataFrame



            A DataFrame should be thought of as a dictionary of Series or a Series of Series. In this case the keys are the column names and the values are the columns themselves as Series objects. Each Series agrees to share the same index which is the index of the DataFrame.



            columns



            These are the keys that we can reference to get at the corresponding Series.



            index



            This the the index that all of the Series values agree to share.



            Note: RE: columns and index objects



            They are the same kind of things. A DataFrames index can be used as another DataFrames columns. In fact, this happens when you do df.T to get a transpose.



            values



            This is a 2 dimensional array that contains the data in a DataFrame. The reality is that values is NOT what is stored inside the DataFrame object. (Well sometimes it is, but I'm not about to try to describe the block mananager). The point is, it is better to think of this as access to a 2 dimensional array of the data.




            Define Sample Data



            These are sample pandas.Index objects that can be used as the index of a Series or DataFrame or can be used as the columns of a DataFrame



            idx_lower = pd.Index([*'abcde'], name='lower')
            idx_range = pd.RangeIndex(5, name='range')


            These are sample pandas.Series objects that use the pandas.Index objects above



            s0 = pd.Series(range(10, 15), idx_lower)
            s1 = pd.Series(range(30, 40, 2), idx_lower)
            s2 = pd.Series(range(50, 10, -8), idx_range)


            These are sample pandas.DataFrame objects that use the pandas.Index objects above



            df0 = pd.DataFrame(100, index=idx_range, columns=idx_lower)
            df1 = pd.DataFrame(
            np.arange(np.product(df0.shape)).reshape(df0.shape),
            index=idx_range, columns=idx_lower
            )




            Series on Series



            When operating on two Series, the alignment is obvious. You align the index of one Series with the index of the other.



            s1 + s0

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            Which is the same as when I randomly shuffle one before I operate. The indices will sitll align.



            s1 + s0.sample(frac=1)

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            And is NOT the case when instead I operate with the values of the shuffled Series. In this case, Pandas doesn't have the index to align with and therefore operates from a positions.



            s1 + s0.sample(frac=1).values

            lower
            a 42
            b 42
            c 47
            d 50
            e 49
            dtype: int64


            Add a scalar



            s1 + 1

            lower
            a 31
            b 33
            c 35
            d 37
            e 39
            dtype: int64




            DataFrame on DataFrame



            Similar is true when operating between two DataFrames

            The alignment is obvious and does what we think it should do



            df0 + df1

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Shuffle second DataFrame on both axes. The index and columns will still align and give us the same thing.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1)

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Same shuffling but add the array and not the DataFrame. No longer aligned and will get different results.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1).values

            lower a b c d e
            range
            0 123 124 121 122 120
            1 118 119 116 117 115
            2 108 109 106 107 105
            3 103 104 101 102 100
            4 113 114 111 112 110


            Add 1 dimensional array. Will align with columns and broadcast across rows.



            df0 + [*range(2, df0.shape[1] + 2)]

            lower a b c d e
            range
            0 102 103 104 105 106
            1 102 103 104 105 106
            2 102 103 104 105 106
            3 102 103 104 105 106
            4 102 103 104 105 106


            Add a scalar. Nothing to align with so broadcasts to everything



            df0 + 1

            lower a b c d e
            range
            0 101 101 101 101 101
            1 101 101 101 101 101
            2 101 101 101 101 101
            3 101 101 101 101 101
            4 101 101 101 101 101




            DataFrame on Series



            If DataFrames are to be though of as dictionaries of Series and Series are to be thought of as dictionaries of values, then it is natural that when operating between a DataFrame and Series that they should be aligned by their "keys".



            s0:
            lower a b c d e
            10 11 12 13 14

            df0:
            lower a b c d e
            range
            0 100 100 100 100 100
            1 100 100 100 100 100
            2 100 100 100 100 100
            3 100 100 100 100 100
            4 100 100 100 100 100


            And when we operate, the 10 in s0['a'] gets added to the entire column of df0['a']



            df0 + s0

            lower a b c d e
            range
            0 110 111 112 113 114
            1 110 111 112 113 114
            2 110 111 112 113 114
            3 110 111 112 113 114
            4 110 111 112 113 114


            Heart of the issue and point of the post



            What about if I want s2 and df0?



            s2: df0:

            | lower a b c d e
            range | range
            0 50 | 0 100 100 100 100 100
            1 42 | 1 100 100 100 100 100
            2 34 | 2 100 100 100 100 100
            3 26 | 3 100 100 100 100 100
            4 18 | 4 100 100 100 100 100


            When I operate, I get the all np.nan as cited in the question



            df0 + s2

            a b c d e 0 1 2 3 4
            range
            0 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            1 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            2 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            3 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            4 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN


            This does not produce what we wanted. Because Pandas is aligning the index of s2 with the columns of df0. The columns of the result includes a union of the index of s2 and the columns of df0.



            We could fake it out with tricky transposition



            (df0.T + s2).T

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            But it turns out Pandas has a better solution. There are operation methods that allow us to pass an axis argument to specify the axis to align with.



            - sub
            + add
            * mul
            / div
            ** pow



            And so the answer is simply



            df0.add(s2, axis='index')

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            Turns out axis='index' is synomynous with axis=0.

            As is axis='columns' synomynous with axis=1



            df0.add(s2, axis=0)

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118



            Rest of the operations



            df0.sub(s2, axis=0)

            lower a b c d e
            range
            0 50 50 50 50 50
            1 58 58 58 58 58
            2 66 66 66 66 66
            3 74 74 74 74 74
            4 82 82 82 82 82



            df0.mul(s2, axis=0)

            lower a b c d e
            range
            0 5000 5000 5000 5000 5000
            1 4200 4200 4200 4200 4200
            2 3400 3400 3400 3400 3400
            3 2600 2600 2600 2600 2600
            4 1800 1800 1800 1800 1800



            df0.div(s2, axis=0)

            lower a b c d e
            range
            0 2.000000 2.000000 2.000000 2.000000 2.000000
            1 2.380952 2.380952 2.380952 2.380952 2.380952
            2 2.941176 2.941176 2.941176 2.941176 2.941176
            3 3.846154 3.846154 3.846154 3.846154 3.846154
            4 5.555556 5.555556 5.555556 5.555556 5.555556



            df0.pow(1 / s2, axis=0)

            lower a b c d e
            range
            0 1.096478 1.096478 1.096478 1.096478 1.096478
            1 1.115884 1.115884 1.115884 1.115884 1.115884
            2 1.145048 1.145048 1.145048 1.145048 1.145048
            3 1.193777 1.193777 1.193777 1.193777 1.193777
            4 1.291550 1.291550 1.291550 1.291550 1.291550





            share|improve this answer














            Please bear the preamble. It's important to address some higher level concepts first. Since my motivation is to share knowledge and teach, I wanted to make this as clear as possible.




            It is helpful to create a mental model of what Series and DataFrame objects are.



            Anatomy of a Series



            A Series should be thought of as an enhanced dictionary. This isn't always a perfect analogy, but we'll start here. Also, there are other analogies that you can make but I am targetting a dictionary in order to demonstrate the purpose of this post.



            index



            These are the keys that we can reference to get at the corresponding values. When the elements of the index are unique, the comparison to a dictionary becomes very close.



            values



            These are the corresponding values that are keyed by the index.



            Anatomy of a DataFrame



            A DataFrame should be thought of as a dictionary of Series or a Series of Series. In this case the keys are the column names and the values are the columns themselves as Series objects. Each Series agrees to share the same index which is the index of the DataFrame.



            columns



            These are the keys that we can reference to get at the corresponding Series.



            index



            This the the index that all of the Series values agree to share.



            Note: RE: columns and index objects



            They are the same kind of things. A DataFrames index can be used as another DataFrames columns. In fact, this happens when you do df.T to get a transpose.



            values



            This is a 2 dimensional array that contains the data in a DataFrame. The reality is that values is NOT what is stored inside the DataFrame object. (Well sometimes it is, but I'm not about to try to describe the block mananager). The point is, it is better to think of this as access to a 2 dimensional array of the data.




            Define Sample Data



            These are sample pandas.Index objects that can be used as the index of a Series or DataFrame or can be used as the columns of a DataFrame



            idx_lower = pd.Index([*'abcde'], name='lower')
            idx_range = pd.RangeIndex(5, name='range')


            These are sample pandas.Series objects that use the pandas.Index objects above



            s0 = pd.Series(range(10, 15), idx_lower)
            s1 = pd.Series(range(30, 40, 2), idx_lower)
            s2 = pd.Series(range(50, 10, -8), idx_range)


            These are sample pandas.DataFrame objects that use the pandas.Index objects above



            df0 = pd.DataFrame(100, index=idx_range, columns=idx_lower)
            df1 = pd.DataFrame(
            np.arange(np.product(df0.shape)).reshape(df0.shape),
            index=idx_range, columns=idx_lower
            )




            Series on Series



            When operating on two Series, the alignment is obvious. You align the index of one Series with the index of the other.



            s1 + s0

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            Which is the same as when I randomly shuffle one before I operate. The indices will sitll align.



            s1 + s0.sample(frac=1)

            lower
            a 40
            b 43
            c 46
            d 49
            e 52
            dtype: int64


            And is NOT the case when instead I operate with the values of the shuffled Series. In this case, Pandas doesn't have the index to align with and therefore operates from a positions.



            s1 + s0.sample(frac=1).values

            lower
            a 42
            b 42
            c 47
            d 50
            e 49
            dtype: int64


            Add a scalar



            s1 + 1

            lower
            a 31
            b 33
            c 35
            d 37
            e 39
            dtype: int64




            DataFrame on DataFrame



            Similar is true when operating between two DataFrames

            The alignment is obvious and does what we think it should do



            df0 + df1

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Shuffle second DataFrame on both axes. The index and columns will still align and give us the same thing.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1)

            lower a b c d e
            range
            0 100 101 102 103 104
            1 105 106 107 108 109
            2 110 111 112 113 114
            3 115 116 117 118 119
            4 120 121 122 123 124


            Same shuffling but add the array and not the DataFrame. No longer aligned and will get different results.



            df0 + df1.sample(frac=1).sample(frac=1, axis=1).values

            lower a b c d e
            range
            0 123 124 121 122 120
            1 118 119 116 117 115
            2 108 109 106 107 105
            3 103 104 101 102 100
            4 113 114 111 112 110


            Add 1 dimensional array. Will align with columns and broadcast across rows.



            df0 + [*range(2, df0.shape[1] + 2)]

            lower a b c d e
            range
            0 102 103 104 105 106
            1 102 103 104 105 106
            2 102 103 104 105 106
            3 102 103 104 105 106
            4 102 103 104 105 106


            Add a scalar. Nothing to align with so broadcasts to everything



            df0 + 1

            lower a b c d e
            range
            0 101 101 101 101 101
            1 101 101 101 101 101
            2 101 101 101 101 101
            3 101 101 101 101 101
            4 101 101 101 101 101




            DataFrame on Series



            If DataFrames are to be though of as dictionaries of Series and Series are to be thought of as dictionaries of values, then it is natural that when operating between a DataFrame and Series that they should be aligned by their "keys".



            s0:
            lower a b c d e
            10 11 12 13 14

            df0:
            lower a b c d e
            range
            0 100 100 100 100 100
            1 100 100 100 100 100
            2 100 100 100 100 100
            3 100 100 100 100 100
            4 100 100 100 100 100


            And when we operate, the 10 in s0['a'] gets added to the entire column of df0['a']



            df0 + s0

            lower a b c d e
            range
            0 110 111 112 113 114
            1 110 111 112 113 114
            2 110 111 112 113 114
            3 110 111 112 113 114
            4 110 111 112 113 114


            Heart of the issue and point of the post



            What about if I want s2 and df0?



            s2: df0:

            | lower a b c d e
            range | range
            0 50 | 0 100 100 100 100 100
            1 42 | 1 100 100 100 100 100
            2 34 | 2 100 100 100 100 100
            3 26 | 3 100 100 100 100 100
            4 18 | 4 100 100 100 100 100


            When I operate, I get the all np.nan as cited in the question



            df0 + s2

            a b c d e 0 1 2 3 4
            range
            0 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            1 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            2 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            3 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
            4 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN


            This does not produce what we wanted. Because Pandas is aligning the index of s2 with the columns of df0. The columns of the result includes a union of the index of s2 and the columns of df0.



            We could fake it out with tricky transposition



            (df0.T + s2).T

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            But it turns out Pandas has a better solution. There are operation methods that allow us to pass an axis argument to specify the axis to align with.



            - sub
            + add
            * mul
            / div
            ** pow



            And so the answer is simply



            df0.add(s2, axis='index')

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118


            Turns out axis='index' is synomynous with axis=0.

            As is axis='columns' synomynous with axis=1



            df0.add(s2, axis=0)

            lower a b c d e
            range
            0 150 150 150 150 150
            1 142 142 142 142 142
            2 134 134 134 134 134
            3 126 126 126 126 126
            4 118 118 118 118 118



            Rest of the operations



            df0.sub(s2, axis=0)

            lower a b c d e
            range
            0 50 50 50 50 50
            1 58 58 58 58 58
            2 66 66 66 66 66
            3 74 74 74 74 74
            4 82 82 82 82 82



            df0.mul(s2, axis=0)

            lower a b c d e
            range
            0 5000 5000 5000 5000 5000
            1 4200 4200 4200 4200 4200
            2 3400 3400 3400 3400 3400
            3 2600 2600 2600 2600 2600
            4 1800 1800 1800 1800 1800



            df0.div(s2, axis=0)

            lower a b c d e
            range
            0 2.000000 2.000000 2.000000 2.000000 2.000000
            1 2.380952 2.380952 2.380952 2.380952 2.380952
            2 2.941176 2.941176 2.941176 2.941176 2.941176
            3 3.846154 3.846154 3.846154 3.846154 3.846154
            4 5.555556 5.555556 5.555556 5.555556 5.555556



            df0.pow(1 / s2, axis=0)

            lower a b c d e
            range
            0 1.096478 1.096478 1.096478 1.096478 1.096478
            1 1.115884 1.115884 1.115884 1.115884 1.115884
            2 1.145048 1.145048 1.145048 1.145048 1.145048
            3 1.193777 1.193777 1.193777 1.193777 1.193777
            4 1.291550 1.291550 1.291550 1.291550 1.291550






            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited 14 mins ago

























            answered 2 hours ago









            piRSquared

            147k21130264




            147k21130264







            • 1




              Another good resource for me to mark dup for future questions . :-)
              – W-B
              16 mins ago












            • 1




              Another good resource for me to mark dup for future questions . :-)
              – W-B
              16 mins ago







            1




            1




            Another good resource for me to mark dup for future questions . :-)
            – W-B
            16 mins ago




            Another good resource for me to mark dup for future questions . :-)
            – W-B
            16 mins ago












            up vote
            2
            down vote













            I prefer the method mentioned by @piSquared (i.e. df.add(s, axis=0)), but another method uses apply together with lambda to perform an action on each column in the dataframe:



            >>>> df.apply(lambda col: col + s)
            a b c
            0 4 5 6
            1 18 19 20


            To apply the lambda function to the rows, use axis=1:



            >>> df.T.apply(lambda row: row + s, axis=1)
            0 1
            a 4 18
            b 5 19
            c 6 20


            This method could be useful when the transformation is more complex, e.g.:



            df.apply(lambda col: 0.5 * col ** 2 + 2 * s - 3)





            share|improve this answer


























              up vote
              2
              down vote













              I prefer the method mentioned by @piSquared (i.e. df.add(s, axis=0)), but another method uses apply together with lambda to perform an action on each column in the dataframe:



              >>>> df.apply(lambda col: col + s)
              a b c
              0 4 5 6
              1 18 19 20


              To apply the lambda function to the rows, use axis=1:



              >>> df.T.apply(lambda row: row + s, axis=1)
              0 1
              a 4 18
              b 5 19
              c 6 20


              This method could be useful when the transformation is more complex, e.g.:



              df.apply(lambda col: 0.5 * col ** 2 + 2 * s - 3)





              share|improve this answer
























                up vote
                2
                down vote










                up vote
                2
                down vote









                I prefer the method mentioned by @piSquared (i.e. df.add(s, axis=0)), but another method uses apply together with lambda to perform an action on each column in the dataframe:



                >>>> df.apply(lambda col: col + s)
                a b c
                0 4 5 6
                1 18 19 20


                To apply the lambda function to the rows, use axis=1:



                >>> df.T.apply(lambda row: row + s, axis=1)
                0 1
                a 4 18
                b 5 19
                c 6 20


                This method could be useful when the transformation is more complex, e.g.:



                df.apply(lambda col: 0.5 * col ** 2 + 2 * s - 3)





                share|improve this answer














                I prefer the method mentioned by @piSquared (i.e. df.add(s, axis=0)), but another method uses apply together with lambda to perform an action on each column in the dataframe:



                >>>> df.apply(lambda col: col + s)
                a b c
                0 4 5 6
                1 18 19 20


                To apply the lambda function to the rows, use axis=1:



                >>> df.T.apply(lambda row: row + s, axis=1)
                0 1
                a 4 18
                b 5 19
                c 6 20


                This method could be useful when the transformation is more complex, e.g.:



                df.apply(lambda col: 0.5 * col ** 2 + 2 * s - 3)






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 2 hours ago

























                answered 2 hours ago









                Alexander

                51k1082117




                51k1082117



























                     

                    draft saved


                    draft discarded















































                     


                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function ()
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53217607%2fhow-do-i-operate-on-a-dataframe-with-a-series-for-every-column%23new-answer', 'question_page');

                    );

                    Post as a guest













































































                    Comments

                    Popular posts from this blog

                    What does second last employer means? [closed]

                    Installing NextGIS Connect into QGIS 3?

                    One-line joke