/sci/ - Science & Math

File: 8 KB, 386x315, Example48.gif [View same] [iqdb] [saucenao] [google]

Anonymous Mon May 16 02:05:34 2011 No.3065247 [Reply] [Original]

'sup /sci/.

In class we've been learning about gain circles on the smith chart for microwave transistors. There's a fair amount of math lurking in the background of the derivation. From what I follow bilinear transformations, transforming circles in the z = r+jx plane into the w = u + jv plane, this allows us to map impedances to reflection coefficients which in turn allows us to get maximum power gain.

My professor said that complex analysis was necessary to understand the heart of the transformations.

What's the path to learn Complex Analysis?
I've taken the basic calc, linear algebra, and differential equations. Nothing further.

Pic Related

>>	Anonymous Mon May 16 02:10:34 2011 No.3065274 No late night math in /sci/?

>>	Anonymous Mon May 16 02:12:34 2011 No.3065283 File: 458 KB, 1440x900, 02277_twobillionvolts_1440x900.jpg [View same] [iqdb] [saucenao] [google] Bump with science wallpapers

>>	Anonymous Mon May 16 02:14:34 2011 No.3065293 File: 2.20 MB, 3456x2304, 2641484620_aac0efb299_o.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:16:34 2011 No.3065302 File: 499 KB, 1680x1050, 1277666517381.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:17:34 2011 No.3065305 File: 556 KB, 1600x1200, 1298788918906.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:17:34 2011 No.3065309 File: 563 KB, 2791x3668, Advanced_Test_Reactor.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:18:34 2011 No.3065313 File: 995 KB, 2976x2420, airplane_vortex.jpg [View same] [iqdb] [saucenao] [google] I know self study of difficult topics is well ... difficult, but I'd like to know where to start.

>>	Anonymous Mon May 16 02:19:34 2011 No.3065317 File: 381 KB, 2400x2400, earth-moon-19681224.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:20:34 2011 No.3065320 File: 1.61 MB, 2126x1417, FBH_GaN_Wafer_HEMTs.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:21:34 2011 No.3065326 File: 126 KB, 847x546, Jahnke_gamma_function.png [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:21:34 2011 No.3065327 just learn complex variables. all you need is linear algebra. complex analysis (w/ reals) is too much i think.

>>	Anonymous Mon May 16 02:22:34 2011 No.3065328 File: 1.00 MB, 3008x1960, lasers.jpg [View same] [iqdb] [saucenao] [google]

Anonymous Mon May 16 02:25:34 2011 No.3065343
File: 746 KB, 1920x1080, meissner-effect-layout-myspace-photography.jpg [View same] [iqdb] [saucenao] [google]

>>3065327

Okay, never learned complex variables specifically. Is there a more rigorous treatment of linear algebra or something? What would that be called?

>>	Anonymous Mon May 16 02:27:34 2011 No.3065353 File: 297 KB, 1920x1440, Mesh-50c_3.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:28:34 2011 No.3065358 File: 1.12 MB, 1750x1300, nif-1109-17880.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:30:34 2011 No.3065369 File: 234 KB, 1600x1550, tesla-coil2.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 16 02:32:34 2011 No.3065381 File: 399 KB, 2100x2034, the_sun_in_UV.jpg [View same] [iqdb] [saucenao] [google]

Anonymous Mon May 16 02:32:34 2011 No.3065383

You're gonna want to look into real analysis first, preferably take a class on it, because you learn how real numbers and related functions and graphs work. Basically the main point is to learn how real numbers are created from rational numbers. It's recommended because you work with functions you already know well. Then you can look in the more complicated stuff such as complex analysis/variables and number theory, which works in imaginary numbers into the theories.

Btw, the graph on the right is a holomorphic function, which I believe is infinently differentiable. You learn more about those if you focus on complex analyses.

I'm guessing in you're in some power/electric engineering class?

>>	ႼЋïŁႣƧტƿḩЄƦṥ !Scone2booQ Mon May 16 02:35:34 2011 No.3065400 Read this: http://people.math.gatech.edu/~cain/winter99/complex.html

Anonymous Mon May 16 02:41:34 2011 No.3065432
File: 283 KB, 1578x1220, total_solar_eclipse.jpg [View same] [iqdb] [saucenao] [google]

>>3065383

Yeah EE, specifically RF, Microwave, and mm-wave systems, basically high frequency designs.

Cool, I shall start with the reals then. Do you think I can jump right into Real Analysis given my background or is there more prereqs?

>>3065400
Thanks.

>>	Anonymous Mon May 16 02:44:34 2011 No.3065447 >>3065432 As long as you've done at least single integrals and infinite series and sequences there should be no problem.

>>	Anonymous Mon May 16 02:48:34 2011 No.3065469 File: 2.53 MB, 1500x991, z.jpg [View same] [iqdb] [saucenao] [google] >>3065447 Awesome. Thanks!

Advanced search
Text to find
Subject [?]Search by post subject. Leave empty for any.
Username [?]Search for user name. Leave empty for any user name.
Tripcode [?]Search for tripcode. Leave empty for any.
Email [?]Search by email. Leave empty for any.
Filename [?]Search by image filename. Leave empty for any.
From Date [?]Enter what date to start searching from. Format is YYYY-MM-DD
To Date [?]Enter what date to start searching until. Format is YYYY-MM-DD
Image hash
Search in	All Posts OPs Only
Deleted posts	Show all posts Show only deleted posts Only show non-deleted posts
Internal posts	Show all posts Show only internal posts Show only archived posts
Order	New posts first Old posts first
Capcode	All Posts Only by Users Only by Mods Only by Admins Only by Developers
Results	Posts Threads
Action	[ Simple ]