Experimental Mathematics 1 (2010)
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#contents
* Á°²ó¤Î²ÝÂê¤Ë¤Ä¤¤¤Æ [#f3b70592]
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n x m ¹ÔÎó¤Î¥Ç¡¼¥¿¤òÆþÎϤ·¤¿¤é¡¤¤½¤Î¹ÔÎó¤ÈžÃÖ¹ÔÎó¤ò¤½¤ì...
&ref(/materials/warning.png); ¤â¤Á¤í¤ó¡¤Ç¤°Õ¤Î¥µ¥¤¥º¤Î¹Ô...
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** Á´Âι½Â¤ [#u0c10b6b]
¤Ê¤Ë¤Ï¤È¤â¤¢¤ì¡¤ºÇ½é¤ÏÁ´Âι½Â¤¤«¤é¤Ç¤¢¤ë¡¥
º£²ó¤Î¾ì¹ç¡¤¹ÔÎó¤ÎžÃÖÁàºî¤Ê¤É¤âɬÍפʤΤǡ¤¤½¤ì¤â¹Íθ¤¹...
// programu source ɽµ
#highlighter(language=ruby,number=on,cache=on){{
include Math
# ¥Ù¥¯¥È¥ë¤òɽ¼¨¤¹¤ë(°ÊÁ°¤Î¥×¥í¥°¥é¥à¤«¤é¥³¥Ô¡¼)
def print_vec(v_x)
print("[ ")
for i in 1..v_x.size do
print(v_x[i-1]," ")
end
print("]\n")
end
# ¹ÔÎó¤òɽ¼¨¤¹¤ë(°ÊÁ°¤Î¥×¥í¥°¥é¥à¤«¤é¥³¥Ô¡¼)
def print_mtx(m_a)
for i in 1..m_a.size do
print_vec(m_a[i-1])
end
end
# ¹ÔÎó¤ÎžÃÖ¤ò¹Ô¤¦
def transposed_mtx(m_a)
# ¼ÂÁõ¤Ï¸å¤Ç¡¥
return m_a
end
# °Ê²¼¡¤¥×¥í¥°¥é¥àËÜÂÎ
# ¹ÔÎó¤ÎÆþÎϤò¼õ¤±¤ëÉôʬ
# ÆþÎϹÔÎó¡¥Â礤µ¤¬Ê¬¤«¤é¤Ê¤¤°Ê¾å¡¤ºÇ½é¤Ï¶õ¤Ã¤Ý¤Ë¤·¤Æ¤ª...
matrix = []
# ÆþÎϤòÂ¥¤¹
print("? : ")
while (x = gets) do
x.chomp!
data = x.split()
data.map!{ |e| e.to_f }
# ¤³¤Î¾å¤Þ¤Ç¤Ï·è¤Þ¤Ã¤¿¥Ñ¥¿¡¼¥ó.
# ¤µ¤Æ¡¤¹ÔÎó¤Ë¥Ç¡¼¥¿¤òÆ°¤ä¤Ã¤Æ¤·¹þ¤à¡©
# ÆþÎϤòÂ¥¤¹
print("? : ")
end
# ÆþÎϹÔÎó¤Îɽ¼¨
print("Input matrix = \n")
print_mtx(matrix)
print("\n")
# ÆþÎϹÔÎó¤ÎžÃÖ¤Îɽ¼¨
print("Transposed matrix = \n")
print_mtx(transposed_mtx(matrix))
}}
¤³¤¦½ñ¤¤¤Æ¤·¤Þ¤¦¤È»Ä¤Ã¤¿½èÍý¤Ï¤´¤¯´Êñ¤Ê¤³¤È¤¬Ê¬¤«¤ë¡¥
** ÆþÎϥǡ¼¥¿¤ò¹ÔÎó¤È¤·¤Æ°·¤¦ [#q83107de]
¤Þ¤º¤Ï¡¤ÆþÎϤµ¤ì¤¿¡Ö¹Ô¥Ç¡¼¥¿¡×¤ò¹ÔÎó¤Ë¤·¹þ¤à½èÍýÉôʬ¤ò...
// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
# ÆþÎϤòÂ¥¤¹
print("? : ")
while (x = gets) do
x.chomp!
data = x.split()
data.map!{ |e| e.to_f }
# ¤³¤Î¾å¤Þ¤Ç¤Ï·è¤Þ¤Ã¤¿¥Ñ¥¿¡¼¥ó.
# ¹Ô¥Ç¡¼¥¿¤ò push ¤¹¤ë¤À¤±¤Ç¤è¤¤¡ª¡ª
matrix.push(data)
# ÆþÎϤòÂ¥¤¹
print("? : ")
end
}}
** ¹ÔÎó¤ÎžÃÖÁàºî [#l6b7567e]
¤¢¤È¤ÏžÃÖ½èÍý¤À¤±¤À¡¥¤³¤ì¤â¤â¤¦º£¤È¤Ê¤Ã¤Æ¤Ï´Êñ¤Ç¡¤¼¡¤Î...
// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
def transposed_mtx(m_a)
# ¹Í¤¨¤ë¤È¡¤½Ä²£¤Î¥µ¥¤¥º¤Ï²¼¤ÎÊýË¡¤ÇÆÀ¤é¤ì¤ë¡¥
n = m_a.size
m = m_a[0].size
# žÃÖ¹ÔÎó¤Î¤â¤È¤òºî¤ë¡¥
m_b = Array.new(m){ Array.new(n){0.0} }
# Ãæ¿È¤òÆþ¤ì¤Æ¤¤¤¯¤À¤±.
for i in 1..n do
for j in 1..m do
m_b[j-1][i-1] = m_a[i-1][j-1]
end
end
# žÃÖ¹ÔÎó¤ò½ÐÎÏ¡¥
return m_b
end
}}
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* ´Ø¿ô¤Î¼«¸Ê¸ÀµÚ: ºÆµ¢ÄêµÁ [#o676defb]
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¤³¤Î ''sum'' ¤ÎÎã¤À¤È¡¤(n ¤òÀµÀ°¿ô¤È¤·¤Æ)¼¡¤Î¤è¤¦¤Ë¤Ç¤¤ë...
&ref(./sum.png);
&ref(/materials/warning.png); º¸ÊÕ¤òÄêµÁ¤¹¤ë¼°¤Ç¤¢¤ë±¦ÊÕ...
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&size(24){''ºÆµ¢ÄêµÁ¤¬À®¤êΩ¤Ä¾ò·ï¤È¤Ï?''};
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+ ''º¸ÊÕ¤ò±¦ÊÕ¤ÇÃÖ¤´¹¤¨¡¤¤µ¤é¤Ë±¦ÊÕ¤ÇÃÖ¤´¹¤¨¡Ä ¤È³¤±¤Æ...
+ ''ÃÖ´¹¤¨¤Î·«¤êÊÖ¤·¤¬¡Öɬ¤º½ª¤ï¤ë¡×¤è¤¦¤Ë¤Ê¤Ã¤Æ¤¤¤ë''¡§...
&ref(/materials/NG.png); ÄêµÁÃÖ´¹¤¨¤Î·«¤êÊÖ¤·¤¬¡Ö½ª¤ï¤é¤Ê...
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Î㤨¤Ð¤³¤ÎÎã¤Î¾ì¹ç¤Ï¥×¥í¥°¥é¥à¤ò½ñ¤¯¤È¼¡¤Î¤è¤¦¤Ê´¶¤¸¤Ë¤Ê...
// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
def sum(n)
if (n == 1) then
return 1
else
return sum(n-1) + n
end
end
}}
&br;
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¾å¤ÎºÆµ¢ÄêµÁ¤ò»È¤Ã¤Æ¡¤''sum(10)'' ¤Ê¤É¤¬³Î¤«¤ËÀµ¤·¤¤¿ô»ú...
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** ¥æ¡¼¥¯¥ê¥Ã¥É¤Î¸ß½üË¡ [#aa8190f7]
Æó¤Ä¤ÎÀµÀ°¿ô ''n, m'' (n >= m) ¤ÎºÇÂç¸øÌó¿ô¤ò¹Í¤¨¤è¤¦¡¥
¤³¤Î»þ¡¤¿ô³ØŪ¤Ë¼¡¤ÎÀ¼Á¤¬À®¤êΩ¤Ä¡¥
CENTER:&size(18){''n ¤È m ¤ÎºÇÂç¸øÌó¿ô¤Ï m ¤È (n mod m) ...
&br;
¤è¤Ã¤Æ¡¤¤³¤ì¤ò»È¤¦¤ÈÆó¤Ä¤ÎÀµÀ°¿ô ''n, m'' (n >= m) ¤ÎºÇÂç...
&ref(./gcd.png);
&ref(/materials/warning.png); ¤³¤Î¼°¤¬ºÆµ¢ÄêµÁ¤Î¾ò·ï¤òËþ...
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// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
def gcd(n,m)
# Ç°¤Î¤¿¤á¡¤n >= m ¤ò³Î¼Â¤Ë¤·¤Æ¤ª¤¯.
if (n < m) then
n,m = m,n
end
# ¤¢¤È¤ÏºÆµ¢ÄêµÁ¤Î¼°¤ÎÄ̤ê.
if (n % m == 0) then
return m
else
return gcd(m, (n % m) )
end
end
}}
&ref(/materials/notes.png); ¤³¤ì¤Ç¼ÂºÝ¤ËÎ㤨¤Ð 120 ¤È 45 ...
&ref(/materials/warning.png); ¤³¤ÎºÆµ¢ÄêµÁ¤ò¡Ö»È¤ï¤º¤Ë¡×...
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// programu source ɽµ
#highlighter(language=ruby,number=on,cache=on){{
include Math
# ºÇÂç¸øÌó¿ô¤òµá¤á¤ë´Ø¿ô
def gcd(n,m)
# Ç°¤Î¤¿¤á¡¤n >= m ¤ò³Î¼Â¤Ë¤·¤Æ¤ª¤¯.
if (n < m) then
n,m = m,n
end
# ¸½ºß ÂоݤȤ·¤Æ¤¤¤ë¤ÎÆó¤Ä¤Î¿ô»ú¤È¡¤¤½¤Î mod ¤ò½ÐÎÏ.
print(n," mod ",m, " = ",n % m,"\n")
# ¤¢¤È¤ÏºÆµ¢ÄêµÁ¤Î¼°¤ÎÄ̤ê.
if (n % m == 0) then
# ·×»»½ªÎ»
print("Finished. \n")
return m
else
return gcd(m, (n % m) )
end
end
# °Ê²¼¡¤¥×¥í¥°¥é¥àËÜÂÎ
n = 1071
m = 1029
# ºÇÂç¸øÌó¿ô¤ò´Ø¿ô¤ò»È¤Ã¤Æ·×»»¤·¤Æɽ¼¨
print("gcd(",n,", ",m,") = ",gcd(n,m),"\n")
}}
** ¥ë¡¼¥×Áàºî¤È¤Î´Ø·¸ [#x2f67147]
''for'' ¤ä ''while'' ¤Ê¤É¤Î¥ë¡¼¥×¤Ç¤Ï¥ë¡¼¥×¤¬½ª¤ï¤Ã¤Æ¤«¤é...
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*** ¥ë¡¼¥×¤òºÆµ¢¤Ç½ñ¤Ä¾¤¹Îã [#ga7a420b]
Î㤨¤Ð¡¤Àè¤Î Fizz Buzz ´Ø¿ô¤Ç¿ô»ú¤¬²¿²óÊÑ´¹¤µ¤ì¤¿¤«¤ò¥Á¥§...
// programu source ɽµ
#highlighter(language=ruby,number=on,cache=on){{
include Math
# Fizz Buzz ´Ø¿ô
def fb(n)
if (n % 15 == 0) then
return "Fizz Buzz"
elsif (n % 3 == 0) then
return "Fizz"
elsif (n % 5 == 0) then
return "Buzz"
else
return n
end
end
# ÊÑ´¹¤µ¤ì¤¿À°¿ô¤¬ last_n ¤Ë¤Ê¤ë¤Þ¤ÇÄ´¤Ù³¤±¤ë´Ø¿ô
# i ¤Ï Fizz Buzz ´Ø¿ô¤Ç¤³¤ì¤«¤é¥Á¥§¥Ã¥¯¤¹¤ëÀ°¿ô¡¥
# n ¤Ï ¤³¤ì¤Þ¤ÇÊÑ´¹¤µ¤ì¤¿À°¿ô¤Î¸Ä¿ô¡¥
def fb_count(i, n, last_n)
# ¤Þ¤À¡ÖÊÑ´¹¿ô¡×¤¬Â¤ê¤Ê¤¤¤Ê¤é
if (n < last_n) then
# ²èÌ̽ÐÎÏ
print(fb(i),"\n")
#¡ÖFizz Buzz ¤Î½ÐÎϤ¬Ã±¤Ê¤ë¿ô»ú¤Ç¤Ê¤¤ = ÊÑ´¹¤µ¤ì¤¿¡×...
if (fb(i) != i) then
n += 1
end
# ¼¡¤Î¿ô¤Ø
i += 1
# ¼«Ê¬¼«¿È¤ò²¼ÀÁ¤±¤Ë¤·¤Æ
fb_count(i, n, last_n)
end
end
# °Ê²¼¡¤¥×¥í¥°¥é¥àËÜÂÎ
# ÊÑ´¹¤µ¤ì¤¿À°¿ô¤ò¤¤¤¯¤Ä¿ô¤¨¤ë¤«
n_upper = ARGV[0].to_i
# ÊÑ´¹¤µ¤ì¤¿À°¿ô¤¬ n_upper ¤Ë¤Ê¤ë¤Þ¤Ç¥Á¥§¥Ã¥¯¤µ¤»¤ë.
fb_count(1,0,n_upper)
}}
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&br;
*** ºÆµ¢¤ò¥ë¡¼¥×¤Ç½ñ¤Ä¾¤¹Îã [#e26fc0a8]
Î㤨¤ÐºÇ½é¤ÎºÆµ¢ÄêµÁ¤ÎÎã¤Ç¤¢¤ë ''sum'' ´Ø¿ô¤â¡¤''for'' ¥ë...
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*** ºÆµ¢¤È¥ë¡¼¥×¡¤¤É¤Ã¤Á¤¬ÆÀ? [#b14d721d]
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* º£Æü¤ÎÁí»Å¾å¤² [#f5f3dd6e]
Fibonacci ¿ôÎó ''F_0, F_1, F_2, ... '' ¤ò·×»»¤·¤Æ½ÐÎϤ¹¤ë...
¤¿¤À¤·¡¤°Ê²¼¤Î¾ò·ï¤òËþ¤¿¤¹¤â¤Î¤È¤¹¤ë¡¥
+ F_0 = 0, F_1 = 1 ¤È¤¹¤ë.
+ µ¯Æ°»þ¤ËÀµÀ°¿ô¥Ñ¥é¥á¡¼¥¿ ''n'' (30¤°¤é¤¤¤òÁÛÄê)¤¬Í¿¤¨¤é...
+ ¥×¥í¥°¥é¥àA ¤Ï¡¤ºÆµ¢ÄêµÁ¤òÍѤ¤¤Æ·×»»¤¹¤ë¤È¤¹¤ë¡¥
+ ¥×¥í¥°¥é¥àB ¤Ï¡¤¥ë¡¼¥×·×»»¤òÍѤ¤¤Æ·×»»¤¹¤ë¤È¤¹¤ë¡¥
¶ñÂÎŪ¤Ë¤Ï¡¤Î㤨¤Ð¥×¥í¥°¥é¥àA ¤Î¥Õ¥¡¥¤¥ë̾¤¬ fibonacciA.r...
ruby -w fibonacciA.rb 30
¤È¤·¤Æ¼Â¹Ô¤¹¤ë¤È¡¤
> F_0 = 0
> F_1 = 1
> F_2 = 1
> F_3 = 2
> F_4 = 3
> F_5 = 5
> F_6 = 8
> F_7 = 13
> F_8 = 21
> F_9 = 34
> F_10 = 55
> F_11 = 89
> F_12 = 144
> F_13 = 233
> F_14 = 377
> F_15 = 610
> F_16 = 987
> F_17 = 1597
> F_18 = 2584
> F_19 = 4181
> F_20 = 6765
> F_21 = 10946
> F_22 = 17711
> F_23 = 28657
> F_24 = 46368
> F_25 = 75025
> F_26 = 121393
> F_27 = 196418
> F_28 = 317811
> F_29 = 514229
> F_30 = 832040
¤È¤¤¤¦·ë²Ì¤¬¤Ç¤ë¤è¤¦¤Ë¤·¤í¡¤¤È¤¤¤¦¤³¤È¤Ë¤Ê¤ë¡¥
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* ¥ì¥Ý¡¼¥È [#h0fb364d]
ËÜÆü¼õ¤±¤¿¹ÖµÁ¤ª¤è¤Ó¹Ô¤Ã¤¿¼Â½¬¤Ë¤Ä¤¤¤Æ¡¤´Êñ¤Ë¤Þ¤È¤á¤¿Êó...
¤Þ¤¿¡¤Áí»Å¾å¤²¤ÎÉôʬ¤Ç¼«Ê¬¤Ç½ñ¤¤¤¿¥×¥í¥°¥é¥à¤òÊó¹ð¤»¤è.
¤â¤Á¤í¤ó³Æ¼«¤Î
+ ½ê°(³ØÉô¡¤³Ø²Ê)
+ ³ØÀÒÈÖ¹æ
+ ³Øǯ
+ »á̾
+ Æü»þ
+ ´Î¿´¤Î¥ì¥Ý¡¼¥ÈÆâÍÆ(ÆÀ¤¿Ãθ«¡¤ºî¶È¤Ë¤Ä¤¤¤Æµ¤¤Å¤¤¤¿¤³¤ÈÅù...
¤ò½ñ¤¯¤Î¤ò˺¤ì¤Ê¤¤¤è¤¦¤Ë.
* about Icons, ClipArts [#h567ccfb]
Some icons in this page are downloadable at [[ICONFINDER:...
The "note" icon &ref(/materials/notes.png); designed by [...
the "warning" icon &ref(/materials/warning.png); designed...
and the "triangle" icon &ref(/materials/JNorth_arrow-righ...
Some clip arts used in this page are downloadable at [[Op...
We deeply appreciate their superb works. With licence, th...
// ¨¬¨¨®¨¯¨°¨±¨²¨³¨´¨µ¨¶
// ¥³¥Þ¥ó¥É¥é¥¤¥óÆþÎϤϡֹÔƬ¤ò¥Ö¥é¥ó¥¯¤Ç»Ï¤á¤ë¡×.
// ¥³¥Þ¥ó¥É¥é¥¤¥ó½ÐÎϤϡֹÔƬ¤ò > ¤Ç»Ï¤á¤ë¡×.
// ¼Â½¬¥¢¥¤¥³¥ó
// &ref(/materials/notes.png);
// Ãí°Õ¥¢¥¤¥³¥ó
// &ref(/materials/warning.png);
// Link ¥¢¥¤¥³¥ó
// &ref(/materials/JNorth_arrow-right-sm.png);
// Âçʸ»ú¤Ç¤Î¶¯Ä´
// CENTER:&size(24){''¤Û¤²¤Û¤²''};
// programu source ɽµ
// #highlighter(language=ruby,number=on,cache=on){{}}
½ªÎ»¹Ô:
#contents
* Á°²ó¤Î²ÝÂê¤Ë¤Ä¤¤¤Æ [#f3b70592]
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&br;
n x m ¹ÔÎó¤Î¥Ç¡¼¥¿¤òÆþÎϤ·¤¿¤é¡¤¤½¤Î¹ÔÎó¤ÈžÃÖ¹ÔÎó¤ò¤½¤ì...
&ref(/materials/warning.png); ¤â¤Á¤í¤ó¡¤Ç¤°Õ¤Î¥µ¥¤¥º¤Î¹Ô...
¤¿¤À¤·¡¤¹ÔÎó¤Î·Á¤Ë¤Ê¤Ã¤Æ¤¤¤Ê¤¤¥Ç¡¼¥¿¤ÏÁÛÄꤷ¤Ê¤¯¤Æ¤âÎɤ¤¡¥
&br;
** Á´Âι½Â¤ [#u0c10b6b]
¤Ê¤Ë¤Ï¤È¤â¤¢¤ì¡¤ºÇ½é¤ÏÁ´Âι½Â¤¤«¤é¤Ç¤¢¤ë¡¥
º£²ó¤Î¾ì¹ç¡¤¹ÔÎó¤ÎžÃÖÁàºî¤Ê¤É¤âɬÍפʤΤǡ¤¤½¤ì¤â¹Íθ¤¹...
// programu source ɽµ
#highlighter(language=ruby,number=on,cache=on){{
include Math
# ¥Ù¥¯¥È¥ë¤òɽ¼¨¤¹¤ë(°ÊÁ°¤Î¥×¥í¥°¥é¥à¤«¤é¥³¥Ô¡¼)
def print_vec(v_x)
print("[ ")
for i in 1..v_x.size do
print(v_x[i-1]," ")
end
print("]\n")
end
# ¹ÔÎó¤òɽ¼¨¤¹¤ë(°ÊÁ°¤Î¥×¥í¥°¥é¥à¤«¤é¥³¥Ô¡¼)
def print_mtx(m_a)
for i in 1..m_a.size do
print_vec(m_a[i-1])
end
end
# ¹ÔÎó¤ÎžÃÖ¤ò¹Ô¤¦
def transposed_mtx(m_a)
# ¼ÂÁõ¤Ï¸å¤Ç¡¥
return m_a
end
# °Ê²¼¡¤¥×¥í¥°¥é¥àËÜÂÎ
# ¹ÔÎó¤ÎÆþÎϤò¼õ¤±¤ëÉôʬ
# ÆþÎϹÔÎó¡¥Â礤µ¤¬Ê¬¤«¤é¤Ê¤¤°Ê¾å¡¤ºÇ½é¤Ï¶õ¤Ã¤Ý¤Ë¤·¤Æ¤ª...
matrix = []
# ÆþÎϤòÂ¥¤¹
print("? : ")
while (x = gets) do
x.chomp!
data = x.split()
data.map!{ |e| e.to_f }
# ¤³¤Î¾å¤Þ¤Ç¤Ï·è¤Þ¤Ã¤¿¥Ñ¥¿¡¼¥ó.
# ¤µ¤Æ¡¤¹ÔÎó¤Ë¥Ç¡¼¥¿¤òÆ°¤ä¤Ã¤Æ¤·¹þ¤à¡©
# ÆþÎϤòÂ¥¤¹
print("? : ")
end
# ÆþÎϹÔÎó¤Îɽ¼¨
print("Input matrix = \n")
print_mtx(matrix)
print("\n")
# ÆþÎϹÔÎó¤ÎžÃÖ¤Îɽ¼¨
print("Transposed matrix = \n")
print_mtx(transposed_mtx(matrix))
}}
¤³¤¦½ñ¤¤¤Æ¤·¤Þ¤¦¤È»Ä¤Ã¤¿½èÍý¤Ï¤´¤¯´Êñ¤Ê¤³¤È¤¬Ê¬¤«¤ë¡¥
** ÆþÎϥǡ¼¥¿¤ò¹ÔÎó¤È¤·¤Æ°·¤¦ [#q83107de]
¤Þ¤º¤Ï¡¤ÆþÎϤµ¤ì¤¿¡Ö¹Ô¥Ç¡¼¥¿¡×¤ò¹ÔÎó¤Ë¤·¹þ¤à½èÍýÉôʬ¤ò...
// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
# ÆþÎϤòÂ¥¤¹
print("? : ")
while (x = gets) do
x.chomp!
data = x.split()
data.map!{ |e| e.to_f }
# ¤³¤Î¾å¤Þ¤Ç¤Ï·è¤Þ¤Ã¤¿¥Ñ¥¿¡¼¥ó.
# ¹Ô¥Ç¡¼¥¿¤ò push ¤¹¤ë¤À¤±¤Ç¤è¤¤¡ª¡ª
matrix.push(data)
# ÆþÎϤòÂ¥¤¹
print("? : ")
end
}}
** ¹ÔÎó¤ÎžÃÖÁàºî [#l6b7567e]
¤¢¤È¤ÏžÃÖ½èÍý¤À¤±¤À¡¥¤³¤ì¤â¤â¤¦º£¤È¤Ê¤Ã¤Æ¤Ï´Êñ¤Ç¡¤¼¡¤Î...
// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
def transposed_mtx(m_a)
# ¹Í¤¨¤ë¤È¡¤½Ä²£¤Î¥µ¥¤¥º¤Ï²¼¤ÎÊýË¡¤ÇÆÀ¤é¤ì¤ë¡¥
n = m_a.size
m = m_a[0].size
# žÃÖ¹ÔÎó¤Î¤â¤È¤òºî¤ë¡¥
m_b = Array.new(m){ Array.new(n){0.0} }
# Ãæ¿È¤òÆþ¤ì¤Æ¤¤¤¯¤À¤±.
for i in 1..n do
for j in 1..m do
m_b[j-1][i-1] = m_a[i-1][j-1]
end
end
# žÃÖ¹ÔÎó¤ò½ÐÎÏ¡¥
return m_b
end
}}
¤ä¤Ã¤Æ¤ß¤ì¤Ð¤³¤ì¤À¤±¤ÎÏäÀ¡¥Æñ¤·¤¯¤Ê¤¤¤À¤í¤¦¡¥
* ´Ø¿ô¤Î¼«¸Ê¸ÀµÚ: ºÆµ¢ÄêµÁ [#o676defb]
¤µ¤Æ¡¤Ruby ¤Ê¤É¤Î¤¢¤ëÄøÅÙ¿¿¤ÃÅö¤Ê¸À¸ì¤Ç¤Ï¡¤Èó¾ï¤ËÊØÍø¤Êµ¡...
¤½¤³¤Ç¡¤¤³¤ÎºÆµ¢ÄêµÁ¤Ë¤Ä¤¤¤Æ³Ø¤Ü¤¦¡¥
&br;
¤Þ¤ºÍѸì¤ÎÀâÌÀ¤ò¤·¤Æ¤ª¤¯¤È¡¤´Ø¿ô¤ÎºÆµ¢ÄêµÁ¤¬²Äǽ¤È¤Ï¡¤¡Ö...
¤È¤¤¤Ã¤Æ¤â¥Ô¥ó¤ÈÍè¤Ê¤¤¤À¤í¤¦¤«¤é¡¤Îã¤ò»È¤Ã¤ÆÀâÌÀ¤·¤è¤¦¡¥
&br;
&ref(/materials/notes.png); ''sum(n) := 1 + 2 + ... + n''...
&br;
¤Þ¤º¡¤ÂоݤȤʤë´Ø¿ô¤ò¼«Ê¬¼«¿È¤ò¸Æ¤Ó½Ð¤¹·Á¤Ç¡Ö¿ô³ØŪ¤Ë¡×...
¤³¤Î ''sum'' ¤ÎÎã¤À¤È¡¤(n ¤òÀµÀ°¿ô¤È¤·¤Æ)¼¡¤Î¤è¤¦¤Ë¤Ç¤¤ë...
&ref(./sum.png);
&ref(/materials/warning.png); º¸ÊÕ¤òÄêµÁ¤¹¤ë¼°¤Ç¤¢¤ë±¦ÊÕ...
&br;
&size(24){''ºÆµ¢ÄêµÁ¤¬À®¤êΩ¤Ä¾ò·ï¤È¤Ï?''};
¤³¤ÎºÆµ¢ÄêµÁ¤¬¡Ö°ÕÌ£¤ò»ý¤Ä¡×¤Ë¤Ï°Ê²¼¤Î¥Ý¥¤¥ó¥È¤¬Ëþ¤¿¤µ¤ì...
+ ''º¸ÊÕ¤ò±¦ÊÕ¤ÇÃÖ¤´¹¤¨¡¤¤µ¤é¤Ë±¦ÊÕ¤ÇÃÖ¤´¹¤¨¡Ä ¤È³¤±¤Æ...
+ ''ÃÖ´¹¤¨¤Î·«¤êÊÖ¤·¤¬¡Öɬ¤º½ª¤ï¤ë¡×¤è¤¦¤Ë¤Ê¤Ã¤Æ¤¤¤ë''¡§...
&ref(/materials/NG.png); ÄêµÁÃÖ´¹¤¨¤Î·«¤êÊÖ¤·¤¬¡Ö½ª¤ï¤é¤Ê...
&br;
¤µ¤Æ¡¤ºÆµ¢ÄêµÁ¤Î°ÕÌ£¤Ï¤ï¤«¤Ã¤¿¤È¤·¤Æ¡¤¤³¤ì¤ò¥×¥í¥°¥é¥à¤Ç...
¼Â¤Ï»È¤¤Êý¤Ï´Êñ¤Ç¡¤¡Ö¤Û¤Ü¤½¤Î¤Þ¤Þ¡×½ñ¤±¤ÐÎɤ¤¡¥
Î㤨¤Ð¤³¤ÎÎã¤Î¾ì¹ç¤Ï¥×¥í¥°¥é¥à¤ò½ñ¤¯¤È¼¡¤Î¤è¤¦¤Ê´¶¤¸¤Ë¤Ê...
// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
def sum(n)
if (n == 1) then
return 1
else
return sum(n-1) + n
end
end
}}
&br;
¤µ¤Æ¡¤¤³¤ì¤ÇÆ°¤¯¤Î¤À¤í¤¦¤«? ¤È¤¤¤¦µ¿Ìä¤ò»ý¤Ä³ØÀ¸¤â¤¤¤ë¤À...
¾å¤ÎºÆµ¢ÄêµÁ¤ò»È¤Ã¤Æ¡¤''sum(10)'' ¤Ê¤É¤¬³Î¤«¤ËÀµ¤·¤¤¿ô»ú...
&br;
¤µ¤Æ¡¤ºÆµ¢ÄêµÁ¤Î¤Ê¤Ë¤¬ÊØÍø¤Ê¤Î¤«¤ò¼¨¤½¤¦¡¥±Ô¤¤³ØÀ¸¤Ë¤Ï¤â...
&br;
CENTER:&ref(/materials/OK.png);&size(24){''ºÆµ¢ÄêµÁ¤Ï¡ÖÄê...
CENTER:&size(24){''·×»»¼ê½ç¤ò¥×¥í¥°¥é¥à¤·¤Ê¤¯¤ÆÎɤ¤.''};
&br;
¤è¤¯¹Í¤¨¤ì¤ÐÉԻ׵Ĥʤ³¤È¤Ç¤Ï¤Ê¤¤¡¥·«¤êÊÖ¤·¤ÆÄêµÁ¤òŬÍѤ¹...
¤·¤«¤·¡¤¤³¤ì¤¬¼ÂºÝ¤Ï¤È¤Æ¤âÊØÍø¤Ê¤³¤È¤¬Â¿¤¤¤Î¤À¡¥°Ê²¼¡¤Îã...
** ¥æ¡¼¥¯¥ê¥Ã¥É¤Î¸ß½üË¡ [#aa8190f7]
Æó¤Ä¤ÎÀµÀ°¿ô ''n, m'' (n >= m) ¤ÎºÇÂç¸øÌó¿ô¤ò¹Í¤¨¤è¤¦¡¥
¤³¤Î»þ¡¤¿ô³ØŪ¤Ë¼¡¤ÎÀ¼Á¤¬À®¤êΩ¤Ä¡¥
CENTER:&size(18){''n ¤È m ¤ÎºÇÂç¸øÌó¿ô¤Ï m ¤È (n mod m) ...
&br;
¤è¤Ã¤Æ¡¤¤³¤ì¤ò»È¤¦¤ÈÆó¤Ä¤ÎÀµÀ°¿ô ''n, m'' (n >= m) ¤ÎºÇÂç...
&ref(./gcd.png);
&ref(/materials/warning.png); ¤³¤Î¼°¤¬ºÆµ¢ÄêµÁ¤Î¾ò·ï¤òËþ...
&br;
¤³¤ì¤ò¤½¤Î¤Þ¤Þ¥×¥í¥°¥é¥ß¥ó¥°¤¹¤ë¤È°Ê²¼¤Î¤è¤¦¤Ë¤Ê¤ë¡¥¤¿¤À...
// programu source ɽµ
#highlighter(language=ruby,number=off,cache=on){{
def gcd(n,m)
# Ç°¤Î¤¿¤á¡¤n >= m ¤ò³Î¼Â¤Ë¤·¤Æ¤ª¤¯.
if (n < m) then
n,m = m,n
end
# ¤¢¤È¤ÏºÆµ¢ÄêµÁ¤Î¼°¤ÎÄ̤ê.
if (n % m == 0) then
return m
else
return gcd(m, (n % m) )
end
end
}}
&ref(/materials/notes.png); ¤³¤ì¤Ç¼ÂºÝ¤ËÎ㤨¤Ð 120 ¤È 45 ...
&ref(/materials/warning.png); ¤³¤ÎºÆµ¢ÄêµÁ¤ò¡Ö»È¤ï¤º¤Ë¡×...
&br;
¤Ê¤ª¡¤ÅÓÃæ¤Î·Ð²á¤¬¤è¤¯Ê¬¤«¤é¤Ê¤¤¤È¤¤¤¦¿Í¤Ï¡¤¼¡¤Î¤è¤¦¤ËÅÓ...
// programu source ɽµ
#highlighter(language=ruby,number=on,cache=on){{
include Math
# ºÇÂç¸øÌó¿ô¤òµá¤á¤ë´Ø¿ô
def gcd(n,m)
# Ç°¤Î¤¿¤á¡¤n >= m ¤ò³Î¼Â¤Ë¤·¤Æ¤ª¤¯.
if (n < m) then
n,m = m,n
end
# ¸½ºß ÂоݤȤ·¤Æ¤¤¤ë¤ÎÆó¤Ä¤Î¿ô»ú¤È¡¤¤½¤Î mod ¤ò½ÐÎÏ.
print(n," mod ",m, " = ",n % m,"\n")
# ¤¢¤È¤ÏºÆµ¢ÄêµÁ¤Î¼°¤ÎÄ̤ê.
if (n % m == 0) then
# ·×»»½ªÎ»
print("Finished. \n")
return m
else
return gcd(m, (n % m) )
end
end
# °Ê²¼¡¤¥×¥í¥°¥é¥àËÜÂÎ
n = 1071
m = 1029
# ºÇÂç¸øÌó¿ô¤ò´Ø¿ô¤ò»È¤Ã¤Æ·×»»¤·¤Æɽ¼¨
print("gcd(",n,", ",m,") = ",gcd(n,m),"\n")
}}
** ¥ë¡¼¥×Áàºî¤È¤Î´Ø·¸ [#x2f67147]
''for'' ¤ä ''while'' ¤Ê¤É¤Î¥ë¡¼¥×¤Ç¤Ï¥ë¡¼¥×¤¬½ª¤ï¤Ã¤Æ¤«¤é...
¤È¤¤¤¦¤³¤È¤Ï¡¤¥ë¡¼¥×·×»»¤ÏºÆµ¢ÄêµÁ¤Ç½ñ¤¤Ê¤ª¤¹¤³¤È¤¬¤Ç¤...
¤Ä¤Þ¤ê¡¤
&br;
CENTER:&size(24){''¥ë¡¼¥×·×»»¤ÏºÆµ¢ÄêµÁ¤Ç½ñ¤Ä¾¤¹¤³¤È¤¬½Ð...
CENTER:&size(24){''ºÆµ¢ÄêµÁ¤Ï¥ë¡¼¥×·×»»¤Ç½ñ¤Ä¾¤¹¤³¤È¤¬½Ð...
&br;
¤È¤¤¤¦¤³¤È¤Ë¤Ê¤ë¡¥
*** ¥ë¡¼¥×¤òºÆµ¢¤Ç½ñ¤Ä¾¤¹Îã [#ga7a420b]
Î㤨¤Ð¡¤Àè¤Î Fizz Buzz ´Ø¿ô¤Ç¿ô»ú¤¬²¿²óÊÑ´¹¤µ¤ì¤¿¤«¤ò¥Á¥§...
// programu source ɽµ
#highlighter(language=ruby,number=on,cache=on){{
include Math
# Fizz Buzz ´Ø¿ô
def fb(n)
if (n % 15 == 0) then
return "Fizz Buzz"
elsif (n % 3 == 0) then
return "Fizz"
elsif (n % 5 == 0) then
return "Buzz"
else
return n
end
end
# ÊÑ´¹¤µ¤ì¤¿À°¿ô¤¬ last_n ¤Ë¤Ê¤ë¤Þ¤ÇÄ´¤Ù³¤±¤ë´Ø¿ô
# i ¤Ï Fizz Buzz ´Ø¿ô¤Ç¤³¤ì¤«¤é¥Á¥§¥Ã¥¯¤¹¤ëÀ°¿ô¡¥
# n ¤Ï ¤³¤ì¤Þ¤ÇÊÑ´¹¤µ¤ì¤¿À°¿ô¤Î¸Ä¿ô¡¥
def fb_count(i, n, last_n)
# ¤Þ¤À¡ÖÊÑ´¹¿ô¡×¤¬Â¤ê¤Ê¤¤¤Ê¤é
if (n < last_n) then
# ²èÌ̽ÐÎÏ
print(fb(i),"\n")
#¡ÖFizz Buzz ¤Î½ÐÎϤ¬Ã±¤Ê¤ë¿ô»ú¤Ç¤Ê¤¤ = ÊÑ´¹¤µ¤ì¤¿¡×...
if (fb(i) != i) then
n += 1
end
# ¼¡¤Î¿ô¤Ø
i += 1
# ¼«Ê¬¼«¿È¤ò²¼ÀÁ¤±¤Ë¤·¤Æ
fb_count(i, n, last_n)
end
end
# °Ê²¼¡¤¥×¥í¥°¥é¥àËÜÂÎ
# ÊÑ´¹¤µ¤ì¤¿À°¿ô¤ò¤¤¤¯¤Ä¿ô¤¨¤ë¤«
n_upper = ARGV[0].to_i
# ÊÑ´¹¤µ¤ì¤¿À°¿ô¤¬ n_upper ¤Ë¤Ê¤ë¤Þ¤Ç¥Á¥§¥Ã¥¯¤µ¤»¤ë.
fb_count(1,0,n_upper)
}}
&ref(/materials/warning.png); ''while'' ¥ë¡¼¥×¤ÎÂå¤ï¤ê¤Ë...
&br;
*** ºÆµ¢¤ò¥ë¡¼¥×¤Ç½ñ¤Ä¾¤¹Îã [#e26fc0a8]
Î㤨¤ÐºÇ½é¤ÎºÆµ¢ÄêµÁ¤ÎÎã¤Ç¤¢¤ë ''sum'' ´Ø¿ô¤â¡¤''for'' ¥ë...
¤Þ¤¿, ¥æ¡¼¥¯¥ê¥Ã¥É¤Î¸ß½üË¡¤âƱÍͤËŬÀڤʥ롼¥×¤Ç½ñ¤´¹¤¨...
&ref(/materials/notes.png); (»þ´Ö¤Ë;͵¤Î¤¢¤ë¿Í¸þ¤±) ¥æ...
&br;
*** ºÆµ¢¤È¥ë¡¼¥×¡¤¤É¤Ã¤Á¤¬ÆÀ? [#b14d721d]
ºÆµ¢ÄêµÁ¤È¥ë¡¼¥×·×»»¤¬ËܼÁŪ¤ËƱ¤¸¤Ê¤é¡¤¤É¤Á¤é¤òÁª¤Ö¤Ù¤...
¤³¤ì¤Ë¤Ä¤¤¤Æ¤Ï¡¤Æó¤Ä¤Î»ëÅÀ¤¬¤¢¤ë¡¥
&br;
¤Þ¤º¡¤¥×¥í¥°¥é¥à¤Î¤ï¤«¤ê¤ä¤¹¤µ¤À¤¬¡¤¤³¤ì¤ÏÌäÂê¤Ë¤è¤ë¡¥¥æ...
Â礤¯½ñ¤¤¤Æ¤ª¤¯¤È¡¤
&br;
CENTER:&size(24){''ºÆµ¢¤È¥ë¡¼¥×¤Î¤É¤Á¤é¤¬¤ï¤«¤ê¤ä¤¹¤¤¤«¤Ï...
&br;
¼¡¤Ë¡¤·×»»¤Î®¤µ¤ä¥³¥ó¥Ô¥å¡¼¥¿¤Ë¤«¤«¤ëÉé²Ù¤Ë¤Ä¤¤¤Æ¤Ç¤¢¤ë¡¥
¤³¤ì¤Ï¤Û¤Ü¤Ï¤Ã¤¤ê¤·¤Æ¤¤¤Æ¡¤¼«Ê¬¼«¿È¤ò²¿²ó¤â¸Æ¤Ó½Ð¤¹»ÅÁÈ...
¤³¤ì¤òÂ礤¯½ñ¤¤¤Æ¤ª¤¯¤È¡¤
&br;
CENTER:&size(24){''ºÆµ¢¤ÏËâË¡¤Ê¤Î¤Ç MP ¤ò¶ô¤¦''}; (MP = M...
&br;
¤È¤Ê¤ë¡¥
·ë¶É¡¤¥á¥ê¥Ã¥È¤â¥Ç¥á¥ê¥Ã¥È¤â¤¢¤ë¤Î¤Ç¡¤ºÆµ¢ÄêµÁ¤ò»È¤¦¤Ù¤...
&br;
* º£Æü¤ÎÁí»Å¾å¤² [#f5f3dd6e]
Fibonacci ¿ôÎó ''F_0, F_1, F_2, ... '' ¤ò·×»»¤·¤Æ½ÐÎϤ¹¤ë...
¤¿¤À¤·¡¤°Ê²¼¤Î¾ò·ï¤òËþ¤¿¤¹¤â¤Î¤È¤¹¤ë¡¥
+ F_0 = 0, F_1 = 1 ¤È¤¹¤ë.
+ µ¯Æ°»þ¤ËÀµÀ°¿ô¥Ñ¥é¥á¡¼¥¿ ''n'' (30¤°¤é¤¤¤òÁÛÄê)¤¬Í¿¤¨¤é...
+ ¥×¥í¥°¥é¥àA ¤Ï¡¤ºÆµ¢ÄêµÁ¤òÍѤ¤¤Æ·×»»¤¹¤ë¤È¤¹¤ë¡¥
+ ¥×¥í¥°¥é¥àB ¤Ï¡¤¥ë¡¼¥×·×»»¤òÍѤ¤¤Æ·×»»¤¹¤ë¤È¤¹¤ë¡¥
¶ñÂÎŪ¤Ë¤Ï¡¤Î㤨¤Ð¥×¥í¥°¥é¥àA ¤Î¥Õ¥¡¥¤¥ë̾¤¬ fibonacciA.r...
ruby -w fibonacciA.rb 30
¤È¤·¤Æ¼Â¹Ô¤¹¤ë¤È¡¤
> F_0 = 0
> F_1 = 1
> F_2 = 1
> F_3 = 2
> F_4 = 3
> F_5 = 5
> F_6 = 8
> F_7 = 13
> F_8 = 21
> F_9 = 34
> F_10 = 55
> F_11 = 89
> F_12 = 144
> F_13 = 233
> F_14 = 377
> F_15 = 610
> F_16 = 987
> F_17 = 1597
> F_18 = 2584
> F_19 = 4181
> F_20 = 6765
> F_21 = 10946
> F_22 = 17711
> F_23 = 28657
> F_24 = 46368
> F_25 = 75025
> F_26 = 121393
> F_27 = 196418
> F_28 = 317811
> F_29 = 514229
> F_30 = 832040
¤È¤¤¤¦·ë²Ì¤¬¤Ç¤ë¤è¤¦¤Ë¤·¤í¡¤¤È¤¤¤¦¤³¤È¤Ë¤Ê¤ë¡¥
&ref(/materials/warning.png); ¥×¥í¥°¥é¥à¤¬Æó¤Ä¤Ç¤¤¿¤é¡¤...
&br;
&ref(/materials/warning.png); (¾åµé¼Ô¸þ¤±) ºÆµ¢ÄêµÁ¤Ç¤¢¤ê...
&br;
* ¥ì¥Ý¡¼¥È [#h0fb364d]
ËÜÆü¼õ¤±¤¿¹ÖµÁ¤ª¤è¤Ó¹Ô¤Ã¤¿¼Â½¬¤Ë¤Ä¤¤¤Æ¡¤´Êñ¤Ë¤Þ¤È¤á¤¿Êó...
¤Þ¤¿¡¤Áí»Å¾å¤²¤ÎÉôʬ¤Ç¼«Ê¬¤Ç½ñ¤¤¤¿¥×¥í¥°¥é¥à¤òÊó¹ð¤»¤è.
¤â¤Á¤í¤ó³Æ¼«¤Î
+ ½ê°(³ØÉô¡¤³Ø²Ê)
+ ³ØÀÒÈÖ¹æ
+ ³Øǯ
+ »á̾
+ Æü»þ
+ ´Î¿´¤Î¥ì¥Ý¡¼¥ÈÆâÍÆ(ÆÀ¤¿Ãθ«¡¤ºî¶È¤Ë¤Ä¤¤¤Æµ¤¤Å¤¤¤¿¤³¤ÈÅù...
¤ò½ñ¤¯¤Î¤ò˺¤ì¤Ê¤¤¤è¤¦¤Ë.
* about Icons, ClipArts [#h567ccfb]
Some icons in this page are downloadable at [[ICONFINDER:...
The "note" icon &ref(/materials/notes.png); designed by [...
the "warning" icon &ref(/materials/warning.png); designed...
and the "triangle" icon &ref(/materials/JNorth_arrow-righ...
Some clip arts used in this page are downloadable at [[Op...
We deeply appreciate their superb works. With licence, th...
// ¨¬¨¨®¨¯¨°¨±¨²¨³¨´¨µ¨¶
// ¥³¥Þ¥ó¥É¥é¥¤¥óÆþÎϤϡֹÔƬ¤ò¥Ö¥é¥ó¥¯¤Ç»Ï¤á¤ë¡×.
// ¥³¥Þ¥ó¥É¥é¥¤¥ó½ÐÎϤϡֹÔƬ¤ò > ¤Ç»Ï¤á¤ë¡×.
// ¼Â½¬¥¢¥¤¥³¥ó
// &ref(/materials/notes.png);
// Ãí°Õ¥¢¥¤¥³¥ó
// &ref(/materials/warning.png);
// Link ¥¢¥¤¥³¥ó
// &ref(/materials/JNorth_arrow-right-sm.png);
// Âçʸ»ú¤Ç¤Î¶¯Ä´
// CENTER:&size(24){''¤Û¤²¤Û¤²''};
// programu source ɽµ
// #highlighter(language=ruby,number=on,cache=on){{}}
¥Ú¡¼¥¸Ì¾: