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Table with varying step



Table with varying step


Creating simple tableExclude Infinite Value in TablePlotting entries of one table vs entries of another with a condition on a third tableTable with conditionsTable of a two variable functionHow to create a table of tables with different table lengths?Intersperse strings among variables in a tableTable with the logarithmic stepProgress bar / counter for multi-row table with 2 variablesLinearly change the step size in a table













2












$begingroup$


I would like to produce a table



Table1=Table[j,j^2,j,0.0001,Pi,Deltaj]


where Deltaj is 0.0001 for j < 5*10^-3 and 0.01 otherwise. How to do this?










share|improve this question









$endgroup$
















    2












    $begingroup$


    I would like to produce a table



    Table1=Table[j,j^2,j,0.0001,Pi,Deltaj]


    where Deltaj is 0.0001 for j < 5*10^-3 and 0.01 otherwise. How to do this?










    share|improve this question









    $endgroup$














      2












      2








      2





      $begingroup$


      I would like to produce a table



      Table1=Table[j,j^2,j,0.0001,Pi,Deltaj]


      where Deltaj is 0.0001 for j < 5*10^-3 and 0.01 otherwise. How to do this?










      share|improve this question









      $endgroup$




      I would like to produce a table



      Table1=Table[j,j^2,j,0.0001,Pi,Deltaj]


      where Deltaj is 0.0001 for j < 5*10^-3 and 0.01 otherwise. How to do this?







      table






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 9 hours ago









      John TaylorJohn Taylor

      853311




      853311




















          2 Answers
          2






          active

          oldest

          votes


















          3












          $begingroup$

          Define the $j$-dependent step size:



          Δ[j_] = Piecewise[0.0001, j < 5*10^-3, 0.01, j >= 5*10^-3];


          Make a list of $j$-values to use:



          With[start = 0.0001, end = π,
          jvalues = NestWhileList[# + Δ[#] &, start, # <= end &, 1, ∞, -1]]



          0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007,
          0.0008, 0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015,
          0.0016, 0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023,
          0.0024, 0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031,
          0.0032, 0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039,
          0.004, 0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047,
          0.0048, 0.0049, 0.005, 0.015, 0.025, 0.035, 0.045, 0.055, 0.065, ..., 3.115, 3.125, 3.135




          Evaluate the table over these $j$-values:



          Table[j, j^2, j, jvalues]



          0.0001, 1.*10^-8, 0.0002, 4.*10^-8, 0.0003,
          9.*10^-8, 0.0004, 1.6*10^-7, 0.0005, 2.5*10^-7, 0.0006,
          3.6*10^-7, 0.0007, 4.9*10^-7, 0.0008, 6.4*10^-7, 0.0009,
          8.1*10^-7, 0.001, 1.*10^-6, 0.0011, 1.21*10^-6, 0.0012,
          1.44*10^-6, 0.0013, 1.69*10^-6, 0.0014, 1.96*10^-6, 0.0015,
          2.25*10^-6, 0.0016, 2.56*10^-6, 0.0017, 2.89*10^-6, 0.0018,
          3.24*10^-6, 0.0019, 3.61*10^-6, 0.002, 4.*10^-6, 0.0021,
          4.41*10^-6, 0.0022, 4.84*10^-6, 0.0023, 5.29*10^-6, 0.0024,
          5.76*10^-6, 0.0025, 6.25*10^-6, 0.0026, 6.76*10^-6, 0.0027,
          7.29*10^-6, 0.0028, 7.84*10^-6, 0.0029, 8.41*10^-6, 0.003,
          9.*10^-6, 0.0031, 9.61*10^-6, 0.0032, 0.00001024, 0.0033,
          0.00001089, 0.0034, 0.00001156, 0.0035, 0.00001225, 0.0036,
          0.00001296, 0.0037, 0.00001369, 0.0038, 0.00001444, 0.0039,
          0.00001521, 0.004, 0.000016, 0.0041, 0.00001681, 0.0042,
          0.00001764, 0.0043, 0.00001849, 0.0044, 0.00001936, 0.0045,
          0.00002025, 0.0046, 0.00002116, 0.0047, 0.00002209, 0.0048,
          0.00002304, 0.0049, 0.00002401, 0.005, 0.000025, 0.015,
          0.000225, 0.025, 0.000625, 0.035, 0.001225, 0.045,
          0.002025, 0.055, 0.003025, 0.065, 0.004225, ..., 3.115, 9.70322, 3.125, 9.76562, 3.135, 9.82822







          share|improve this answer











          $endgroup$




















            4












            $begingroup$

             Union[
            Table[j, j^2, j, 0, .005, .0001],
            Table[j, j^2, j, 0.005, .05, .001]
            ]


            or



            timelist = Table[Exp[j], j, 1, 10];
            Table[timelist[[i]], timelist[[i]]^2, i, Length[timelist]
            ]





            share|improve this answer











            $endgroup$












            • $begingroup$
              Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
              $endgroup$
              – John Taylor
              8 hours ago











            Your Answer








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            2 Answers
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            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3












            $begingroup$

            Define the $j$-dependent step size:



            Δ[j_] = Piecewise[0.0001, j < 5*10^-3, 0.01, j >= 5*10^-3];


            Make a list of $j$-values to use:



            With[start = 0.0001, end = π,
            jvalues = NestWhileList[# + Δ[#] &, start, # <= end &, 1, ∞, -1]]



            0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007,
            0.0008, 0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015,
            0.0016, 0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023,
            0.0024, 0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031,
            0.0032, 0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039,
            0.004, 0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047,
            0.0048, 0.0049, 0.005, 0.015, 0.025, 0.035, 0.045, 0.055, 0.065, ..., 3.115, 3.125, 3.135




            Evaluate the table over these $j$-values:



            Table[j, j^2, j, jvalues]



            0.0001, 1.*10^-8, 0.0002, 4.*10^-8, 0.0003,
            9.*10^-8, 0.0004, 1.6*10^-7, 0.0005, 2.5*10^-7, 0.0006,
            3.6*10^-7, 0.0007, 4.9*10^-7, 0.0008, 6.4*10^-7, 0.0009,
            8.1*10^-7, 0.001, 1.*10^-6, 0.0011, 1.21*10^-6, 0.0012,
            1.44*10^-6, 0.0013, 1.69*10^-6, 0.0014, 1.96*10^-6, 0.0015,
            2.25*10^-6, 0.0016, 2.56*10^-6, 0.0017, 2.89*10^-6, 0.0018,
            3.24*10^-6, 0.0019, 3.61*10^-6, 0.002, 4.*10^-6, 0.0021,
            4.41*10^-6, 0.0022, 4.84*10^-6, 0.0023, 5.29*10^-6, 0.0024,
            5.76*10^-6, 0.0025, 6.25*10^-6, 0.0026, 6.76*10^-6, 0.0027,
            7.29*10^-6, 0.0028, 7.84*10^-6, 0.0029, 8.41*10^-6, 0.003,
            9.*10^-6, 0.0031, 9.61*10^-6, 0.0032, 0.00001024, 0.0033,
            0.00001089, 0.0034, 0.00001156, 0.0035, 0.00001225, 0.0036,
            0.00001296, 0.0037, 0.00001369, 0.0038, 0.00001444, 0.0039,
            0.00001521, 0.004, 0.000016, 0.0041, 0.00001681, 0.0042,
            0.00001764, 0.0043, 0.00001849, 0.0044, 0.00001936, 0.0045,
            0.00002025, 0.0046, 0.00002116, 0.0047, 0.00002209, 0.0048,
            0.00002304, 0.0049, 0.00002401, 0.005, 0.000025, 0.015,
            0.000225, 0.025, 0.000625, 0.035, 0.001225, 0.045,
            0.002025, 0.055, 0.003025, 0.065, 0.004225, ..., 3.115, 9.70322, 3.125, 9.76562, 3.135, 9.82822







            share|improve this answer











            $endgroup$

















              3












              $begingroup$

              Define the $j$-dependent step size:



              Δ[j_] = Piecewise[0.0001, j < 5*10^-3, 0.01, j >= 5*10^-3];


              Make a list of $j$-values to use:



              With[start = 0.0001, end = π,
              jvalues = NestWhileList[# + Δ[#] &, start, # <= end &, 1, ∞, -1]]



              0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007,
              0.0008, 0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015,
              0.0016, 0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023,
              0.0024, 0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031,
              0.0032, 0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039,
              0.004, 0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047,
              0.0048, 0.0049, 0.005, 0.015, 0.025, 0.035, 0.045, 0.055, 0.065, ..., 3.115, 3.125, 3.135




              Evaluate the table over these $j$-values:



              Table[j, j^2, j, jvalues]



              0.0001, 1.*10^-8, 0.0002, 4.*10^-8, 0.0003,
              9.*10^-8, 0.0004, 1.6*10^-7, 0.0005, 2.5*10^-7, 0.0006,
              3.6*10^-7, 0.0007, 4.9*10^-7, 0.0008, 6.4*10^-7, 0.0009,
              8.1*10^-7, 0.001, 1.*10^-6, 0.0011, 1.21*10^-6, 0.0012,
              1.44*10^-6, 0.0013, 1.69*10^-6, 0.0014, 1.96*10^-6, 0.0015,
              2.25*10^-6, 0.0016, 2.56*10^-6, 0.0017, 2.89*10^-6, 0.0018,
              3.24*10^-6, 0.0019, 3.61*10^-6, 0.002, 4.*10^-6, 0.0021,
              4.41*10^-6, 0.0022, 4.84*10^-6, 0.0023, 5.29*10^-6, 0.0024,
              5.76*10^-6, 0.0025, 6.25*10^-6, 0.0026, 6.76*10^-6, 0.0027,
              7.29*10^-6, 0.0028, 7.84*10^-6, 0.0029, 8.41*10^-6, 0.003,
              9.*10^-6, 0.0031, 9.61*10^-6, 0.0032, 0.00001024, 0.0033,
              0.00001089, 0.0034, 0.00001156, 0.0035, 0.00001225, 0.0036,
              0.00001296, 0.0037, 0.00001369, 0.0038, 0.00001444, 0.0039,
              0.00001521, 0.004, 0.000016, 0.0041, 0.00001681, 0.0042,
              0.00001764, 0.0043, 0.00001849, 0.0044, 0.00001936, 0.0045,
              0.00002025, 0.0046, 0.00002116, 0.0047, 0.00002209, 0.0048,
              0.00002304, 0.0049, 0.00002401, 0.005, 0.000025, 0.015,
              0.000225, 0.025, 0.000625, 0.035, 0.001225, 0.045,
              0.002025, 0.055, 0.003025, 0.065, 0.004225, ..., 3.115, 9.70322, 3.125, 9.76562, 3.135, 9.82822







              share|improve this answer











              $endgroup$















                3












                3








                3





                $begingroup$

                Define the $j$-dependent step size:



                Δ[j_] = Piecewise[0.0001, j < 5*10^-3, 0.01, j >= 5*10^-3];


                Make a list of $j$-values to use:



                With[start = 0.0001, end = π,
                jvalues = NestWhileList[# + Δ[#] &, start, # <= end &, 1, ∞, -1]]



                0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007,
                0.0008, 0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015,
                0.0016, 0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023,
                0.0024, 0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031,
                0.0032, 0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039,
                0.004, 0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047,
                0.0048, 0.0049, 0.005, 0.015, 0.025, 0.035, 0.045, 0.055, 0.065, ..., 3.115, 3.125, 3.135




                Evaluate the table over these $j$-values:



                Table[j, j^2, j, jvalues]



                0.0001, 1.*10^-8, 0.0002, 4.*10^-8, 0.0003,
                9.*10^-8, 0.0004, 1.6*10^-7, 0.0005, 2.5*10^-7, 0.0006,
                3.6*10^-7, 0.0007, 4.9*10^-7, 0.0008, 6.4*10^-7, 0.0009,
                8.1*10^-7, 0.001, 1.*10^-6, 0.0011, 1.21*10^-6, 0.0012,
                1.44*10^-6, 0.0013, 1.69*10^-6, 0.0014, 1.96*10^-6, 0.0015,
                2.25*10^-6, 0.0016, 2.56*10^-6, 0.0017, 2.89*10^-6, 0.0018,
                3.24*10^-6, 0.0019, 3.61*10^-6, 0.002, 4.*10^-6, 0.0021,
                4.41*10^-6, 0.0022, 4.84*10^-6, 0.0023, 5.29*10^-6, 0.0024,
                5.76*10^-6, 0.0025, 6.25*10^-6, 0.0026, 6.76*10^-6, 0.0027,
                7.29*10^-6, 0.0028, 7.84*10^-6, 0.0029, 8.41*10^-6, 0.003,
                9.*10^-6, 0.0031, 9.61*10^-6, 0.0032, 0.00001024, 0.0033,
                0.00001089, 0.0034, 0.00001156, 0.0035, 0.00001225, 0.0036,
                0.00001296, 0.0037, 0.00001369, 0.0038, 0.00001444, 0.0039,
                0.00001521, 0.004, 0.000016, 0.0041, 0.00001681, 0.0042,
                0.00001764, 0.0043, 0.00001849, 0.0044, 0.00001936, 0.0045,
                0.00002025, 0.0046, 0.00002116, 0.0047, 0.00002209, 0.0048,
                0.00002304, 0.0049, 0.00002401, 0.005, 0.000025, 0.015,
                0.000225, 0.025, 0.000625, 0.035, 0.001225, 0.045,
                0.002025, 0.055, 0.003025, 0.065, 0.004225, ..., 3.115, 9.70322, 3.125, 9.76562, 3.135, 9.82822







                share|improve this answer











                $endgroup$



                Define the $j$-dependent step size:



                Δ[j_] = Piecewise[0.0001, j < 5*10^-3, 0.01, j >= 5*10^-3];


                Make a list of $j$-values to use:



                With[start = 0.0001, end = π,
                jvalues = NestWhileList[# + Δ[#] &, start, # <= end &, 1, ∞, -1]]



                0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007,
                0.0008, 0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015,
                0.0016, 0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023,
                0.0024, 0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031,
                0.0032, 0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039,
                0.004, 0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047,
                0.0048, 0.0049, 0.005, 0.015, 0.025, 0.035, 0.045, 0.055, 0.065, ..., 3.115, 3.125, 3.135




                Evaluate the table over these $j$-values:



                Table[j, j^2, j, jvalues]



                0.0001, 1.*10^-8, 0.0002, 4.*10^-8, 0.0003,
                9.*10^-8, 0.0004, 1.6*10^-7, 0.0005, 2.5*10^-7, 0.0006,
                3.6*10^-7, 0.0007, 4.9*10^-7, 0.0008, 6.4*10^-7, 0.0009,
                8.1*10^-7, 0.001, 1.*10^-6, 0.0011, 1.21*10^-6, 0.0012,
                1.44*10^-6, 0.0013, 1.69*10^-6, 0.0014, 1.96*10^-6, 0.0015,
                2.25*10^-6, 0.0016, 2.56*10^-6, 0.0017, 2.89*10^-6, 0.0018,
                3.24*10^-6, 0.0019, 3.61*10^-6, 0.002, 4.*10^-6, 0.0021,
                4.41*10^-6, 0.0022, 4.84*10^-6, 0.0023, 5.29*10^-6, 0.0024,
                5.76*10^-6, 0.0025, 6.25*10^-6, 0.0026, 6.76*10^-6, 0.0027,
                7.29*10^-6, 0.0028, 7.84*10^-6, 0.0029, 8.41*10^-6, 0.003,
                9.*10^-6, 0.0031, 9.61*10^-6, 0.0032, 0.00001024, 0.0033,
                0.00001089, 0.0034, 0.00001156, 0.0035, 0.00001225, 0.0036,
                0.00001296, 0.0037, 0.00001369, 0.0038, 0.00001444, 0.0039,
                0.00001521, 0.004, 0.000016, 0.0041, 0.00001681, 0.0042,
                0.00001764, 0.0043, 0.00001849, 0.0044, 0.00001936, 0.0045,
                0.00002025, 0.0046, 0.00002116, 0.0047, 0.00002209, 0.0048,
                0.00002304, 0.0049, 0.00002401, 0.005, 0.000025, 0.015,
                0.000225, 0.025, 0.000625, 0.035, 0.001225, 0.045,
                0.002025, 0.055, 0.003025, 0.065, 0.004225, ..., 3.115, 9.70322, 3.125, 9.76562, 3.135, 9.82822








                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 7 hours ago

























                answered 8 hours ago









                RomanRoman

                10.9k11943




                10.9k11943





















                    4












                    $begingroup$

                     Union[
                    Table[j, j^2, j, 0, .005, .0001],
                    Table[j, j^2, j, 0.005, .05, .001]
                    ]


                    or



                    timelist = Table[Exp[j], j, 1, 10];
                    Table[timelist[[i]], timelist[[i]]^2, i, Length[timelist]
                    ]





                    share|improve this answer











                    $endgroup$












                    • $begingroup$
                      Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
                      $endgroup$
                      – John Taylor
                      8 hours ago















                    4












                    $begingroup$

                     Union[
                    Table[j, j^2, j, 0, .005, .0001],
                    Table[j, j^2, j, 0.005, .05, .001]
                    ]


                    or



                    timelist = Table[Exp[j], j, 1, 10];
                    Table[timelist[[i]], timelist[[i]]^2, i, Length[timelist]
                    ]





                    share|improve this answer











                    $endgroup$












                    • $begingroup$
                      Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
                      $endgroup$
                      – John Taylor
                      8 hours ago













                    4












                    4








                    4





                    $begingroup$

                     Union[
                    Table[j, j^2, j, 0, .005, .0001],
                    Table[j, j^2, j, 0.005, .05, .001]
                    ]


                    or



                    timelist = Table[Exp[j], j, 1, 10];
                    Table[timelist[[i]], timelist[[i]]^2, i, Length[timelist]
                    ]





                    share|improve this answer











                    $endgroup$



                     Union[
                    Table[j, j^2, j, 0, .005, .0001],
                    Table[j, j^2, j, 0.005, .05, .001]
                    ]


                    or



                    timelist = Table[Exp[j], j, 1, 10];
                    Table[timelist[[i]], timelist[[i]]^2, i, Length[timelist]
                    ]






                    share|improve this answer














                    share|improve this answer



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                    edited 8 hours ago

























                    answered 9 hours ago









                    David G. StorkDavid G. Stork

                    25.5k22256




                    25.5k22256











                    • $begingroup$
                      Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
                      $endgroup$
                      – John Taylor
                      8 hours ago
















                    • $begingroup$
                      Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
                      $endgroup$
                      – John Taylor
                      8 hours ago















                    $begingroup$
                    Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
                    $endgroup$
                    – John Taylor
                    8 hours ago




                    $begingroup$
                    Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
                    $endgroup$
                    – John Taylor
                    8 hours ago

















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