693びぼーろく; 部分積分を使わないで積分したい時

被積分関数の形によっては一時的に複素数にすると便利だったりするかも。例えば以下のような場合。 $\displaystyle \int_0^L dx e^{-kx}\sin \frac{\pi x}{L} $ 正統的な方法としては部分積分だろうなと思うけど、一時的に複素数にすることで次のように計算できる。 $\displaystyle \int_0^L dx e^{-kx}\sin \frac{\pi x}{L}=\text{Re}\int_0^L dx e^{-kx}e^{i\frac{\pi x}{L}}=\text{Re}\frac{1}{-k+i\frac{\pi}{L}}\left[-e^{-kL}-1\right]=-\frac{k}{k^2+\frac{\pi^2}{L^2}}\left[1+e^{-kL}\right]$

58びぼーろく; latex2html !!

昨日の晩2時に旧友から電話。ついつい楽しくて長電話してしまい、結局4時ぐらいまで電話していた。眠い。

最近、HPの更新はlatex2htmlを使っている。
講義ノートの訂正も書けるので(数式はpngで出力)、便利。

そもそも、講義ノートを間違えるな、という話なんだが...。

という訳で今日のびぼーろくはlatex2htmlについて。

まずlatex2htmlをインストールする。

ホームディレクトリに.latex2html_initを作成。
最後に

#Additional Parts
$LATEX = 'platex';
$DVIPS = 'pdvips';
$charset= 'euc-jp';

を加える。

数式は常にコンバートしてもらうことにする。
latex2html -reuse 0 hogehoge.tex
でいいが、面倒なので.latex2html_initに書いておく。

$REUSE = 0;

念のためコピーをここに置いておこう。大半は呪文だな。
中身についてはそのうち勉強しよう。


------------------------------------------------------------------------
#LaTeX2HTML Version 96.1 : dot.latex2html-init
#
### Command Line Argument Defaults #######################################

$MAX_SPLIT_DEPTH = 8;   # Stop making separate files at this depth

$MAX_LINK_DEPTH = 4;    # Stop showing child nodes at this depth

$NOLATEX = 0;           # 1 = do not pass unknown environments to Latex

$EXTERNAL_IMAGES = 0;   # 1 = leave the images outside the document

$ASCII_MODE = 0;        # 1 = do not use any icons or internal images

# 1 =  use links to external postscript images rather than inlined bitmap
# images.
$PS_IMAGES = 0;

$TITLE = $default_title;      # The default is "No Title"

$DESTDIR = '';         # Put the result in this directory

# When this is set, the generated HTML files will be placed in the
# current directory. If set to 0 the default behaviour is to create (or reuse)
# another file directory.
$NO_SUBDIR = 0;


# Supply your own string if you don't like the default
$ADDRESS = "$address_data[0]
\n$address_data[1]
";

$NO_NAVIGATION = 0;     # 1 = do not put a navigation panel at the top of each page

# Put navigation links at the top of each  page.  If  the page  exceeds
# $WORDS_IN_PAGE  number of words then put one at the bottom of the page.
$AUTO_NAVIGATION = 1;

# Put a link to the index page in  the  navigation  panel
$INDEX_IN_NAVIGATION = 0;

# Put a link to the table of contents  in  the  navigation  panel
$CONTENTS_IN_NAVIGATION = 1;

# Put a link to the next logical page  in  the  navigation  panel
$NEXT_PAGE_IN_NAVIGATION = 1;

# Put a link to the previous logical page  in  the  navigation  panel
$PREVIOUS_PAGE_IN_NAVIGATION = 0;

$INFO = 0;              # 0 = do not make a "About this document..." section

# Reuse images generated during previous runs
$REUSE = 0;

# When this is 1, the section numbers are shown. The section numbers should
# then match those that would have bee produced by LaTeX.
# The correct section numbers are obtained from the $FILE.aux file generated
# by LaTeX.
# Hiding the seciton numbers encourages use of particular sections
# as standalone documents. In this case the cross reference to a section
# is shown using the default symbol rather than the section number.
$SHOW_SECTION_NUMBERS = 0;

### Other global variables ###############################################
$CHILDLINE = "

\n";

# This is the line width measured in pixels and it is used to right justify
# equations and equation arrays;
$LINE_WIDTH = 500;

# Used in conjunction with AUTO_NAVIGATION
$WORDS_IN_PAGE = 300;

# Affects ONLY the way accents are processed
$default_language = 'english';

# The value of this variable determines how many words to use in each
# title that is added to the navigation panel (see below)
#
$WORDS_IN_NAVIGATION_PANEL_TITLES = 0;

# This number will determine the size of the equations, special characters,
# and anything which will be converted into an inlined image
# *except* "image generating environments" such as "figure", "table"
# or "minipage".
# Effective values are those greater than 0.
# Sensible values are between 0.1 - 4.
$MATH_SCALE_FACTOR = 1.6;

# This number will determine the size of
# image generating environments such as "figure", "table" or "minipage".
# Effective values are those greater than 0.
# Sensible values are between 0.1 - 4.
$FIGURE_SCALE_FACTOR = 1.6;


#  If this is set then intermediate files are left for later inspection.
#  This includes $$_images.tex and $$_images.log created during image
#  conversion.
#  Caution: Intermediate files can be *enormous*.
$DEBUG = 0;

#  If both of the following two variables are set then the "Up" button
#  of the navigation panel in the first node/page of a converted document
#  will point to $EXTERNAL_UP_LINK. $EXTERNAL_UP_TITLE should be set
#  to some text which describes this external link.
$EXTERNAL_UP_LINK = "./index.html";
$EXTERNAL_UP_TITLE = "トップ";

# If this is set then the resulting HTML will look marginally better if viewed
# with Netscape.
$NETSCAPE_HTML = 0;

# Valid paper sizes are "letter", "legal", "a4","a3","a2" and "a0"
# Paper sizes has no effect other than in the time it takes to create inlined
# images and in whether large images can be created at all ie
#  - larger paper sizes *MAY* help with large image problems
#  - smaller paper sizes are quicker to handle
$PAPERSIZE = "a4";

# Replace "english" with another language in order to tell LaTeX2HTML that you
# want some generated section titles (eg "Table of Contents" or "References")
# to appear in a different language. Currently only "english" and "french"
# is supported but it is very easy to add your own. See the example in the
# file "latex2html.config"
$TITLES_LANGUAGE = "english";

### Navigation Panel ##########################################################
#
# The navigation panel is constructed out of buttons and section titles.
# These can be configured in any combination with arbitrary text and
# HTML tags interspersed between them.
# The buttons available are:
# $PREVIOUS - points to the previous section
# $UP  - points up to the "parent" section
# $NEXT - points to the next section
# $NEXT_GROUP - points to the next "group" section
# $PREVIOUS_GROUP - points to the previous "group" section
# $CONTENTS - points to the contents page if there is one
# $INDEX - points to the index page if there is one
#
# If the corresponding section exists the button will contain an
# active link to that section. If the corresponding section does
# not exist the button will be inactive.
#
# Also for each of the $PREVIOUS $UP $NEXT $NEXT_GROUP and $PREVIOUS_GROUP
# buttons there are equivalent $PREVIOUS_TITLE, $UP_TITLE, etc variables
# which contain the titles of their corresponding sections.
# Each title is empty if there is no corresponding section.
#
# The subroutine below constructs the navigation panels in each page.
# Feel free to mix and match buttons, titles, your own text, your logos,
# and arbitrary HTML (the "." is the Perl concatenation operator).
sub top_navigation_panel {

    # Now add a few buttons with a space between them
    #"$NEXT $UP $PREVIOUS $CONTENTS $INDEX $CUSTOM_BUTTONS" .
    #"トップへ 戻る"

    #"
\n" .         # Line break

    # If ``next'' section exists, add its title to the navigation panel
    #($NEXT_TITLE ? " Next: $NEXT_TITLE\n" : undef) .

    # Similarly with the ``up'' title ...
    #($UP_TITLE ? "Up: $UP_TITLE\n" : undef) .

    # ... and the ``previous'' title
    #($PREVIOUS_TITLE ? " Previous: $PREVIOUS_TITLE\n" : undef) .

    #  Line Break, horizontal rule (3-d dividing line) and new paragraph
    #"
\n"
}

sub bot_navigation_panel {

    #  Start with a horizontal rule (3-d dividing line)
    #"
".

    # Now add a few buttons with a space between them
    #"$NEXT $UP $PREVIOUS $CONTENTS $INDEX $CUSTOM_BUTTONS" .

    #"
\n" .         # Line break

    # If ``next'' section exists, add its title to the navigation panel
    #($NEXT_TITLE ? " Next: $NEXT_TITLE\n" : undef) .

    # Similarly with the ``up'' title ...
    #($UP_TITLE ? "Up: $UP_TITLE\n" : undef) .

    # ... and the ``previous'' title
    #($PREVIOUS_TITLE ? " Previous: $PREVIOUS_TITLE\n" : undef)

}
#Additional Parts
$LATEX = 'platex';
$DVIPS = 'pdvips';
$charset= 'euc-jp';
1;      # This must be the last line


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