Regular Mode Selected.

Jan 17, 1997 單維彰

Lecture 26

 a0 + n = 1 an cosnx + bn sinnx      (1)

 x 2 = sinx - 1 2 sin2x + 1 3 sin3x - ,    x (-p, p).

 eiq = cosq+ isinq,

 cosnx = einx + e-inx 2 ,   sinnx = einx - e-inx 2 .

 n = - cn einx.

f(x) =

 1 4 - |x|
 if |x| < 1 4 ,
 0
 otherwise
x [-p, p],     (2)

 0.0099   0.0097   0.0095   0.0091   0.0087   0.0082   0.0077   0.0070
 0.0064   0.0057   0.0051   0.0044   0.0038   0.0031   0.0026   0.0021

 [Fig 55]

 \kai如果 f(x) 在 [-p, p] 中連續, 而且 f(x) 也在 (-p, p) 中連續,則其傅立葉級數收斂, 而且極限函數在 (-p, p) 中等於原函數.

26.1 課本 10.6 習題 1-4.

26.2 課本 10.6 習題 6, 7.

26.3 課本 10.6 習題 19.

26.4 課本 10.6 習題 25, 27.

### Footnotes:

 Error Report TeX2HTML has a restricted set of TeX commands that it understands, mainly dealing with specific styles and layout (dimension-specific) commands. Below is a listing of the TeX commands that TeX2HTML found and ignored. This does not mean that TeX2HTML is malfunctioning! We include this information for you to see exactly what TeX2HTML is ignoring. As you see from the output above, TeX2HTML is converting most, if not all, of the mathematical expressions and hard TeX. For special symbols not supported via the SYMBOL font (e.g. Blackboard Bold), TeX2HTML leaves the TeX commands in place for you to decide how you want to deal with them. (A global search/replace to turn \Bbb R into R possibly). We expect that you, the author, will want to format the HTML paper in a simpler format than that of TeX, since HTML cannot keep up with all TeX layout commands. Including LaTeX commandsFraction level 3**** Unknown parameter/dimension/glue command \baselineskip=**** Unknown parameter/dimension/glue command \parskip=**** Unknown parameter/dimension/glue command \parindent=**** Unknown parameter/dimension/glue command \parskip=**** Unknown parameter/dimension/glue command \hsize=**** Unknown parameter/dimension/glue command \hoffset=**** Unknown command \the, (1 user-defined)**** Unknown command \pageno, (1 user-defined)**** Unknown command \mr, (1 user-defined)**** Unknown command \mr, (1 user-defined)Number of lines processed= 153

Account Name: Wei-Zhang Shan
Account Email: shann@libai.math.ncu.edu.tw
Account Expires On: Jul 14, 1998

Main File

(NOT an URL; Click BROWSE and NAVIGATE to

Input Files
(if any)

Input Files would be \input
in regular TeX. Babel is supported -
put your
.bab file into one of
these auxilliary slots.

LaTeX AUX File

O P T I O N S

 Fraction Depth: 0 (None) 1 2 3 (default) 4 5 (medium) 6 7 8 9 (lots!) Omit Header/Footer TeX2HTML Material Chatty Verbose Error Report Mode Force LaTeX Macros Force AMS Macros DO NOT Guess HTML Equivalent Font Definitions Use Italics in Math Font Disable Delimited Definitions Webserver-Clean Version for Macs: Convert to RAW File For Later Upload To Your Webserver

Help...

R O A D M A P

 MAIN PAGE Examples Subscription Information How To Macintosh Problems and Corrections Competing Products to TeX2HTML Unsupported TeX Commands Email Interface for Converting Documents Recommendation for Presenting Math on the Web Help Contact Information Technical Support Web Authoring System Unix SYMBOL Font Installation

PURCHASE TeX2HTML