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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
$begingroup$
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?
table
$endgroup$
add a comment |
$begingroup$
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?
table
$endgroup$
add a comment |
$begingroup$
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?
table
$endgroup$
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
table
asked 9 hours ago
John TaylorJohn Taylor
853311
853311
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
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
$endgroup$
add a comment |
$begingroup$
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]
]
$endgroup$
$begingroup$
Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
$endgroup$
– John Taylor
8 hours ago
add a comment |
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2 Answers
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active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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
$endgroup$
add a comment |
$begingroup$
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
$endgroup$
add a comment |
$begingroup$
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
$endgroup$
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
edited 7 hours ago
answered 8 hours ago


RomanRoman
10.9k11943
10.9k11943
add a comment |
add a comment |
$begingroup$
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]
]
$endgroup$
$begingroup$
Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
$endgroup$
– John Taylor
8 hours ago
add a comment |
$begingroup$
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]
]
$endgroup$
$begingroup$
Thank you. However, I am looking for something like Deltaj[j] which takes different values for different js.
$endgroup$
– John Taylor
8 hours ago
add a comment |
$begingroup$
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]
]
$endgroup$
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]
]
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
add a comment |
$begingroup$
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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