Re: The possibility integration in Python without an equation, just an array-like file
1. There are a lot of spinet codes in many languages for numerical integration. I may find a good one in Python for you? try SciPy.org ( http://www.scipy.org/about.html) you may find something there. 2. Look at the wiki too: https://wiki.python.org/moin/NumericAndScientific. I hope this help a bit! Ernest Bonat, Ph.D. On Fri, May 16, 2014 at 10:55 AM, Terry Reedy wrote: > On 5/16/2014 4:49 AM, Enlong Liu wrote: > >> Dear All, >> >> I have a question about the integration with Python. >> > > For numerical integration, you should look as numpy and scipy and perhaps > associated packages. > > -- > Terry Jan Reedy > > -- > https://mail.python.org/mailman/listinfo/python-list > -- Thanks Ernest Bonat, Ph.D. Senior Software Engineer Senior Business Statistics Analyst Mobile: 503.730.4556 Email: ernest.bo...@gmail.com -- https://mail.python.org/mailman/listinfo/python-list
Re: The possibility integration in Python without an equation, just an array-like file
On 16/05/14 16:01, Johannes Schneider wrote:
If you do not have a closed form for T(E) you cannot calculate the exact
value of I(V).
Anyway. Assuming T is integrable you can approximate I(V).
1. Way to do:
interpolate T(E) by a polynomial P and integrate P. For this you need
the equation (coefficients and exponents) of P. Integrating is easy
after that.
2. other way:
Use Stair-functions: you can approximate the Value of IV() by the sum
over T(E_i) * (E_{i+1} - E_i) s.t. E_0 = E_F-\frac{eV}{2} and E_n =
E_F+\frac{eV}{2}.
snip]
Or piecewise polynomials (splines).
Duncan
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Re: The possibility integration in Python without an equation, just an array-like file
On 5/16/2014 4:49 AM, Enlong Liu wrote: Dear All, I have a question about the integration with Python. For numerical integration, you should look as numpy and scipy and perhaps associated packages. -- Terry Jan Reedy -- https://mail.python.org/mailman/listinfo/python-list
Re: The possibility integration in Python without an equation, just an array-like file
Hi Enlong You may try standard numerical integration solutions based on the E and T(E) columns data provided. Ernest Bonat, Ph.D. On Fri, May 16, 2014 at 1:49 AM, Enlong Liu wrote: > Dear All, > > I have a question about the integration with Python. The equation is as > below: > and I want to get values of I with respect of V. E_F is known. But for > T(E), I don't have explicit equation, but a .dat file containing > two columns, the first is E, and the second is T(E). It is also in the > attachment for reference. So is it possible to do integration in Python? > > Thanks a lot for your help! > > Best regards, > > > -- > Faculty of Engineering@K.U. Leuven > BIOTECH@TU Dresden > Email: liuenlon...@gmail.com; enlong@student.kuleuven.be; > enlong@biotech.tu-dresden.de > Mobile Phone: +4917666191322 > Mailing Address: Zi. 0108R, Budapester Straße 24, 01069, Dresden, Germany > > -- > https://mail.python.org/mailman/listinfo/python-list > > -- Thanks Ernest Bonat, Ph.D. Senior Software Engineer Senior Business Statistics Analyst Mobile: 503.730.4556 Email: ernest.bo...@gmail.com -- https://mail.python.org/mailman/listinfo/python-list
Re: The possibility integration in Python without an equation, just an array-like file
If you do not have a closed form for T(E) you cannot calculate the exact
value of I(V).
Anyway. Assuming T is integrable you can approximate I(V).
1. Way to do:
interpolate T(E) by a polynomial P and integrate P. For this you need
the equation (coefficients and exponents) of P. Integrating is easy
after that.
2. other way:
Use Stair-functions: you can approximate the Value of IV() by the sum
over T(E_i) * (E_{i+1} - E_i) s.t. E_0 = E_F-\frac{eV}{2} and E_n =
E_F+\frac{eV}{2}.
3 one more way:
use a computer algebra system like sage.
bg,
Johannes
On 16.05.2014 10:49, Enlong Liu wrote:
Dear All,
I have a question about the integration with Python. The equation is as
below:
and I want to get values of I with respect of V. E_F is known. But for
T(E), I don't have explicit equation, but a .dat file containing
two columns, the first is E, and the second is T(E). It is also in the
attachment for reference. So is it possible to do integration in Python?
Thanks a lot for your help!
Best regards,
--
Faculty of Engineering@K.U. Leuven
BIOTECH@TU Dresden
Email:liuenlon...@gmail.com ;
enlong@student.kuleuven.be ;
enlong@biotech.tu-dresden.de
Mobile Phone: +4917666191322
Mailing Address: Zi. 0108R, Budapester Straße 24, 01069, Dresden, Germany
--
Johannes Schneider
Webentwicklung
johannes.schnei...@galileo-press.de
Tel.: +49.228.42150.xxx
Galileo Press GmbH
Rheinwerkallee 4 - 53227 Bonn - Germany
Tel.: +49.228.42.150.0 (Zentrale) .77 (Fax)
http://www.galileo-press.de/
Geschäftsführer: Tomas Wehren, Ralf Kaulisch, Rainer Kaltenecker
HRB 8363 Amtsgericht Bonn
--
https://mail.python.org/mailman/listinfo/python-list
Re: The possibility integration in Python without an equation, just an array-like file
On 16/05/14 13:57, Enlong Liu wrote: Sorry for this inconvenience. Since my file is a little large, I think it will be more difficult for fellows to check. I will now paste the attachment below. The file for T(E) consists of two columns, the first is E and the second is T(E). What I want is to integrate this function in a certain range. E T(E) -6.2578958.96247678929291 -6.2378958.90487115888237 -6.2178957.96907432610510 [snip] http://en.wikipedia.org/wiki/Numerical_integration Duncan -- https://mail.python.org/mailman/listinfo/python-list
Re: The possibility integration in Python without an equation, just an array-like file
Sorry for this inconvenience. Since my file is a little large, I think it will be more difficult for fellows to check. I will now paste the attachment below. The file for T(E) consists of two columns, the first is E and the second is T(E). What I want is to integrate this function in a certain range. E T(E) -6.2578958.96247678929291 -6.2378958.90487115888237 -6.2178957.96907432610510 -6.1978957.92011229305473 -6.1778956.99973958998368 -6.1578956.99959200703257 -6.1378956.99960349124858 -6.1178956.99960255937428 -6.0978957.02338574542792 -6.0778958.93135475951887 -6.0578959.96750726601798 -6.03789510.9408732001956 -6.01789510.9415058589703 -5.9978958.94537541754214 -5.97789510.8097100967606 -5.9578958.85226193360772 -5.9378956.99661653557932 -5.9178956.9965473639 -5.8978956.99670347299879 -5.8778956.99673218445900 -5.8578956.99659826270511 -5.8378956.99623464091850 -5.8178956.99548818932425 -5.7978956.99394489936466 -5.7778956.99005017803712 -5.7578956.96962543581676 -5.7378955.99747630590266 -5.7178956.94845928621193 -5.6978956.98766975985479 -5.6778956.97758798116556 -5.6578956.95055436382018 -5.6378956.87176971154089 -5.6178956.54273589313568 -5.5978955.86175895258116 -5.5778955.9282973331 -5.5578954.99981497444712 -5.5378954.99980834464660 -5.5178954.99980420721252 -5.4978954.99979886872216 -5.4778954.99978991290910 -5.4578954.99977459415969 -5.4378954.99974900970110 -5.4178954.99970628963861 -5.3978954.99963148201658 -5.3778954.99948355338835 -5.3578954.99911446459881 -5.3378954.99695076010531 -5.3178954.99843069856951 -5.2978954.99936037524651 -5.2778956.35475207677864 -5.2578956.82856665022716 -5.2378956.14018744222317 -5.2178956.36919461746248 -5.1978956.99756897433419 -5.1778956.99744749888663 -5.1578956.99680114447542 -5.1378956.99567111628791 -5.1178956.99382008170924 -5.0978956.99072617412210 -5.0778956.98523875355823 -5.0578956.97440300478140 -5.0378956.94799835685808 -5.0178956.8329785804 -4.9978955.99940020401670 -4.9778955.99938810939229 -4.9578955.02927710403357 -4.9378954.99915975390103 -4.9178954.99890278935809 -4.8978954.99859914243363 -4.8778954.99821739336097 -4.8578954.99773235771017 -4.8378954.99710904566381 -4.8178954.99629369410517 -4.7978954.99519763548885 -4.7778954.99366188069830 -4.7578954.99136763606374 -4.7378954.98756326792036 -4.7178954.97994414169979 -4.6978954.95655109792192 -4.6778954.29448749155961 -4.6578953.99951693213742 -4.6378953.99942050837630 -4.6178953.99929275933828 -4.5978953.99907888035628 -4.5778954.91566360421753 -4.5578953.00063522267926 -4.5378953.99325633047260 -4.5178953.98716883843963 -4.4978953.99345892791020 -4.4778953.86300434156207 -4.4578952.98361846417016 -4.4378951.00328787566656 -4.417895 0.999797612478520 -4.397895 0.999727944291486 -4.377895 0.999702219681149
Re: The possibility integration in Python without an equation, just an array-like file
On 05/16/2014 04:49 AM, Enlong Liu wrote: Dear All, I have a question about the integration with Python. The equation is as below: and I want to get values of I with respect of V. E_F is known. But for T(E), I don't have explicit equation, but a .dat file containing two columns, the first is E, and the second is T(E). It is also in the attachment for reference. So is it possible to do integration in Python? You posted in html, and you tried to make an attachment. Either of these will stop many people from seeing what you intended them to see. Presumably the rest of the explanation is in the source code, which you didn't include in your message. This is a text-mailing-list, and many of us cannot see attachments, and many others of us cannot see html. Please tell your email program to use plain text, not html. Please paste any attachments into the same text message, unless it's too big. In that case, you'd need to paste a link instead, but many people won't be able and/or willing to follow such links. -- DaveA -- https://mail.python.org/mailman/listinfo/python-list
