Architecture
°ÇÃà Architecture

°øÁö»çÇ× - Notices



Á¦   ¸ñ  
¿©·¯ ¼ö½ÄÀ» °è»êÇÏ´Â ¼­¼úÇü °è»ê±â(Ver.A)
[ 2014-06-08 17:06:18 ]
±Û¾´ÀÌ  
ezformula
Á¶È¸¼ö: 2376        
ÇöÀç °³¹ßÁßÀÎ ¼­¼úÇü °è»ê±â Å×½ºÆ® ÀÔ´Ï´Ù.
»ç¿ëÀÚµéÀÇ ÀÇ°ßÀ» µè°íÀÚ Å×½ºÆ®¸¦ ÁøÇàÇÕ´Ï´Ù. ¾Æ·¡ÂÊ¿¡ ¸î¸î ¿¹Á¦°¡ ÀÖÀ¸´Ï »ç¿ëÇØ º¸½Ã°í, ÀÇ°ß Áֽñ⠹ٶø´Ï´Ù.
¿¹Á¦¸¦ ±Ü¾î¼­ ¿ÞÂÊ Ã¢¿¡ ºÙ¿© ³õ°í Calculate ¹öÆ°À» ´©¸£¸é ¿À¸¥ÂÊ Ã¢¿¡ °è»ê °á°ú¸¦ º¸¿© ÁÝ´Ï´Ù.

ezformula ¿ÞÂÊ Ã¢¿¡ ¿©·¯ ¼ö½ÄÀ» ±â·ÏÇÏ°í Calculate ¹öÆ°À» ´©¸£¸é ¿À¸¥ÂÊ Ã¢¿¡ °è»ê °á°ú¸¦ º¸¿© ÁÝ´Ï´Ù.
¼ö½ÄÀ» Fx#0 ~ Fx#9 ±îÁö ÃÖ´ë 10°³ÀÇ ¼ö½ÄÀ» ±â·ÏÇÒ ¼ö ÀÖ½À´Ï´Ù. ÀÔ·Â Çü½ÄÀº ¾Æ·¡¿Í °°½À´Ï´Ù.
¼ö½Ä : f@[ ¼ö½Ä ]@f,     º¯¼ö : v@[   º¯¼ö  ]@v,     °¢µµ : a@[ °¢µµÇü½Ä ]@a, °¢µµÇü½Ä : deg, DEG, rad, RAD, grad, GRAD,
º¯¼ö°ª Àü´Þ : F¼ö½Ä¹øÈ£@º¯¼ö¸í( ex : F0@x -> 0¹ø ¼ö½ÄÀÇ x °ª), ÀÌÀü¿¡ °è»êµÈ ¼ö½ÄÀÇ °á°ú°ªÀ» Àü´ÞÇÒ °æ¿ì¿¡´Â º¯¼ö¸í ´ë½Å fx¸¦ ±â·ÏÇÑ´Ù(ex : F0@fx -> 0¹ø ¼ö½ÄÀÇ °á°ú °ª)
°á°ú Ç¥±â : @out¼ö½Ä¹øÈ£@ (ex : @out0@ -> 0¹ø ¼ö½ÄÀÇ °á°ú °ª) -> ÀÌ Çü½ÄÀº °á°ú °ªÀ» Ç¥±â ÇÒ ¶§¸¸ »ç¿ëÇÑ´Ù. 
[2014-06-08 17:18:26]
ezformula ¿À¸®Çǽº À¯·® »êÁ¤½Ä

Fx#0
³«Â÷ h ÀÎ ¿À¸®ÇǽºÀÇ ÃⱸºÎ À¯¼Ó V´Â
f@[
         V = (2*g*h)^(1/2)    
]@f
¿©±â¼­, g : Á߷°¡¼Óµµ, v@[ h=1 ]@v(m), v@[ g=9.8 ]@v(m/s^2) À϶§,

V=@out0@(m/s)

¿øÇü ÃⱸºÎ Á÷°æÀÌ D ¶ó¸é, À¯·® Q´Â ¾Æ·¡½ÄÀ¸·Î ±¸ÇÒ ¼ö ÀÖ´Ù.
Fx#1 f@[
         Q = AV = (1/4)*¥ð*D^(2)*V
]@f
v@[V=F0@fx]@v(m/s), v@[¥ð=3.14]@v, v@[D=0.1]@v(m) À϶§,

Q=@out1@(m^3/s) °¡ µÈ´Ù. 
[2014-06-08 17:23:22]
ezformula ´ºÆ°-·¦½¼¹ý(Newton-Raphson Method)

¹ÌºÐ°¡´ÉÇÑ ÇÔ¼ö(f(x))ÀÇ Çظ¦ ±¸ÇÏ´Â ¼öÄ¡Çؼ®¹æ¹ýÀ¸·Î ÀÓÀÇÀÇ x1¿¡¼­ f(x)¿¡ Á¢ÇÏ´Â Á¢¼±ÀÇ ¹æÁ¤½ÄÀ» ±¸ÇÏ°í Á¢¼±°ú xÃà°úÀÇ ±³Á¡À» ±¸ÇÑ ÈÄ ±³Á¡¿¡¼­ÀÇ x2¸¦ ÀÌ¿ëÇÏ¿© ´Ù½Ã f(x2)¿¡ Á¢ÇÏ´Â Á¢¼±°ú Á¢¼±ÀÌ xÃà°ú ¸¸³ª´Â ±³Á¡À» ±¸Çϸç, À̸¦ ¹Ýº¹ÇÔÀ¸·Î½á f(x)ÀÇ Çظ¦ ±¸ÇÏ´Â ¹æ¹ýÀÌ´Ù.

f(x) : ¹ÌºÐ°¡´ÉÇÑ ÇÔ¼ö, f'(x) : f(x)ÀÇ ¹ÌºÐÇÔ¼ö, y : Á¢¼±ÀÇ ¹æÁ¤½Ä

y = f'(x1)x+b À̹ǷΠy1 = f'(x1)x1+b ÀÌ°í b = y1 - f'(x1)x1 ÀÌ µÈ´Ù.
µû¶ó¼­, Á¢¼±ÀÇ ¹æÁ¤½Ä y´Â y = f'(x1)x + y1 - f'(x1)x1 ÀÌ´Ù.
x Ãà°úÀÇ ±³Á¡Àº y = 0 À̹ǷÎ
   f'(x1)x2 = f'(x1)x1 - y1
   x2 = x1 - y1/f'(x)
y1 = f(x1) À̹ǷΠx2 = x1 - f(x1)/f'(x1) ÀÌ µÈ´Ù.
Fx#0
f@[ fx = x^2 - 3*x + 2   ]@f v@[  x = 4.00 ]@v    fx= @out0@
Fx#1
f@[ f'x = 2*x - 3     ]@f     v@[ x = F0@x   ]@v  f'x= @out1@
Fx#2
v@[ fx = F0@fx ]@v, v@[f'x = F1@fx ]@v À¸·ÎºÎÅÍ  
f@[ x2 = x - fx / f'x  ]@f   v@[  x = F0@x   ]@v x2 = @out2@

x2¸¦ ´Ù½Ã 0¹ø½ÄÀÇ x¿¡ ´ëÀÔÇÏ¿© ¹Ýº¹ °è»êÇÏ¿© x=x2 À϶§ ÇÑ ±ÙÀÌ µÈ´Ù. 
[2014-06-08 17:39:53]
ezformula µÎ Á¡À» Áö³ª´Â ÀÏÂ÷¹æÁ¤½Ä

Á¡ P1, P2ÀÇ ÁÂÇ¥°¡ °¢°¢ (x1, y1), (x2, y2) À϶§, µÎ Á¡À» Áö³ª´Â ¹æÁ¤½Ä y=f(x)Àº ´ÙÀ½°ú °°ÀÌ Ç¥ÇöÇÒ ¼ö ÀÖ´Ù.

           y = ax+b  --- (1)

¿©±â¼­, Á÷¼±ÀÇ ±â¿ï±â´Â a = (y1-y2)/(x1-x2) ÀÌ µÇ°í,
yÀýÆíÀº y1 = ax1+b ·Î ºÎÅÍ b = y1-ax1 °¡ µÈ´Ù.

µû¶ó¼­, ½Ä(1)Àº ´ÙÀ½°ú °°´Ù.

y = ax+y1-ax1
 = ((y1-y2)/(x1-x2))*x+y1-((y1-y2)/(x1-x2))*x1

°è»ê ¿¹)
Fx#0 v@[ x1=-3 ]@v,v@[ y1=7 ]@v,v@[ x2=1 ]@v,v@[ y2=3 ]@v À϶§,
f@[  a = (y1-y2)/(x1-x2) ]@f = @out0@

Fx#1 v@[ x1=F0@x1 ]@v,v@[ y1=F0@y1 ]@v,v@[ x2=F0@x2 ]@v,v@[ y2=F0@y2 ]@v À϶§,
f@[  b = y1-((y1-y2)/(x1-x2))*x1 ]@f = @out1@

µû¶ó¼­ ±¸ÇÏ´Â ½ÄÀº y = @out0@x + @out1@ ÀÌ µÈ´Ù. 
[2014-06-08 17:42:22]
ezformula Á¦Çü ´Ü¸é ¼ö·Î¿¡¼­ÀÇ ¼ö½É »êÁ¤(ManningÀÇ Æò±ÕÀ¯¼Ó °ø½Ä ÀÌ¿ë)

À¯·® ¹× ¼ö·Î Á¶°Ç
- À¯·®              (m^3/s) :  Q = 1179    
- ¹Ù´ÚÆø                 (m) :  B = 122    
- ÁÂÃøº®ÀÇ »ç¸é °æ»ç (1:nL) : nL = 2        
- ¿ìÃøº®ÀÇ »ç¸é °æ»ç (1:nR) : nR = 2      
- Manning Á¶µµ °è¼ö         :  n = 0.031  
- ¼ö·ÎÀÇ ±â¿ï±â              :  S = 0.00025
Fx#0
1. h1À» °¡Á¤ÇÏ¿© Åë¼ö´Ü¸éÀû A¸¦ ±¸ÇÑ´Ù
v@[ B=122]@v, v@[h1=10]@v, v@[nL=2]@v, v@[nR=2]@v
f@[ A=(2*B+h1*(nL+nR))/2 * h1 ]@f= @out0@(m^2)
Fx#1
2. Á¢¼öÁÖº¯Àå P´Â
v@[ B=F0@B]@v, v@[h1=F0@h1]@v, v@[nL=F0@nL]@v, v@[nR=F0@nR]@v
f@[ P=B+(h1^2+(h1*nL)^2)^(1/2)+(h1^2+(h1*nR)^2)^(1/2) ]@f
 = @out1@(m)
Fx#2
3. µ¿¼ö¹Ý°æ RÀº
v@[ A=F0@fx]@v, v@[ P=F1@fx]@v
f@[ R=A/P ]@f = @out2@(m)
Fx#3
4. ¿¬¼Ó¹æÁ¤½ÄÀ¸·Î ºÎÅÍ À¯¼Ó V_C¸¦ ±¸ÇÑ´Ù.
v@[ Q=1179]@v, v@[A=F0@fx]@v
f@[ V_C=Q/A ]@f = @out3@(m/s)
Fx#4
5. ManningÀÇ Æò±ÕÀ¯¼Ó °ø½ÄÀ¸·Î ºÎÅÍ À¯¼Ó V_MÀ» ±¸ÇÑ´Ù.
v@[ n=0.031]@v, v@[R=F2@fx]@v, v@[S=0.00025]@v
f@[ V_M = 1/n * (R^(2/3))*S^(1/2) ]@f = @out4@(m/s)
Fx#5
6. °è»êµÈ À¯¼ÓÀÇ Æò±Õ
v@[ V_C=F3@fx]@v, v@[V_M=F4@fx ]@v
f@[ Vave = (V_C + V_M) / 2 ]@f = @out5@(m/s)
Fx#6
7. Æò±ÕÀ¯¼ÓÀ» ÀÌ¿ëÇÏ¿© Åë¼ö´Ü¸éÀûÀ» °è»êÇÏ°í
v@[ Q=F3@Q]@v, v@[Vave=F5@fx]@v
f@[ A_C = Q / Vave ]@f = @out6@(m^2)
Fx#7
8. ¼ö½É h2¸¦ °è»êÇÑ´Ù.
v@[ B=F0@B]@v, v@[nL=F0@nL]@v, v@[nR=F0@nR]@v, v@[A_C=F6@fx]@v
f@[ h2=((4*B^2+4*(nL+nR)*2*A_C)^(1/2)-2*B)/(2*(nL+nR)) ]@f
  = @out7@(m)
Fx#8
9. °¡Á¤ÇÑ ¼ö½É h1°ú h2¸¦ ºñ±³ÇÏ¿© Â÷ÀÌ°¡ ¿ÀÂ÷¹üÀ§ À̳»¿¡ µé¾î¿Ã¶§±îÁö
   ¼ö½Ä 0¹øÀÇ h1¿¡ h2¸¦ ´ëÀÔÇÏ¿© ¹Ýº¹ °è»êÇÑ´Ù.
v@[ h1=F0@h1]@v, v@[h2=F7@fx]@v
f@[ Error = h1-h2 ]@f = @out8@(m) 
[2014-06-09 15:33:15]
ezformula ´ºÆ°-·¦½¼¹ý(Newton-Raphson Method)

¹ÌºÐ°¡´ÉÇÑ ÇÔ¼ö(f(x))ÀÇ Çظ¦ ±¸ÇÏ´Â ¼öÄ¡Çؼ®¹æ¹ýÀ¸·Î ÀÓÀÇÀÇ x1¿¡¼­ f(x)¿¡ Á¢ÇÏ´Â Á¢¼±ÀÇ ¹æÁ¤½ÄÀ» ±¸ÇÏ°í Á¢¼±°ú xÃà°úÀÇ ±³Á¡À» ±¸ÇÑ ÈÄ ±³Á¡¿¡¼­ÀÇ x2¸¦ ÀÌ¿ëÇÏ¿© ´Ù½Ã f(x2)¿¡ Á¢ÇÏ´Â Á¢¼±°ú Á¢¼±ÀÌ xÃà°ú ¸¸³ª´Â ±³Á¡À» ±¸Çϸç, À̸¦ ¹Ýº¹ÇÔÀ¸·Î½á f(x)ÀÇ Çظ¦ ±¸ÇÏ´Â ¹æ¹ýÀÌ´Ù.

f(x):¹ÌºÐ°¡´ÉÇÑ ÇÔ¼ö, f'(x):f(x)ÀÇ ¹ÌºÐÇÔ¼ö, y:Á¢¼±ÀÇ ¹æÁ¤½Ä

y = f'(x1)x+b À̹ǷΠy1 = f'(x1)x1+b ÀÌ°í b = y1 - f'(x1)x1 ÀÌ µÈ´Ù.
µû¶ó¼­, Á¢¼±ÀÇ ¹æÁ¤½Ä y´Â, y = f'(x1)x + y1 - f'(x1)x1 ÀÌ´Ù.
x Ãà°úÀÇ ±³Á¡Àº y = 0 À̹ǷÎ,
      f'(x1)x2 = f'(x1)x1 - y1, x2 = x1 - y1/f'(x)
y1 = f(x1) À̹ǷÎ,
     x2 = x1 - f(x1)/f'(x1) ÀÌ µÈ´Ù.

ex) fx = x^2 - 3*x +2 À϶§
Fx#0 1)ÃʱⰪÀ» 4·Î °¡Á¤ÇÏ¿©
f@[  fx = x^2 - 3*x + 2]@f, v@[x = 4]@v, fx=@out0@
Fx#1f@[  f'x = 2*x - 3]@f, v@[x = F0@x]@v, f'x=@out1@
Fx#2 f@[ x2 = x - fx / f'x]@f, v@[x = F0@x]@v, v@[fx = F0@fx]@v, v@[f'x = F1@fx]@v, x2 = @out2@
 x2¸¦ ´Ù½Ã x¿¡ ´ëÀÔÇÏ¿© ¹Ýº¹ °è»êÇϸé,
 i@[  F0@x, E0.001, N10, P1 ]@i
 x=@iout2@ À϶§ ÇÑ ±ÙÀÌ µÈ´Ù.
     
Fx#3 2) ÃʱⰪÀ» -1·Î °¡Á¤ÇÏ¿©
f@[  fx = x^2 - 3*x + 2]@f, v@[x = -1]@v, fx=@out3@
Fx#4 f@[ f'x = 2*x - 3]@f, v@[x = F3@x]@v, f'x=@out4@
Fx#5 f@[ x2 = x - fx / f'x]@f, v@[x = F3@x]@v, v@[fx = F3@fx]@v, v@[f'x = F4@fx]@v, x2 = @out5@
 x2¸¦ ´Ù½Ã x¿¡ ´ëÀÔÇÏ¿© ¹Ýº¹ °è»êÇϸé,
 i@[  F3@x, E0.001, N10, P1 ]@i
 x=@iout5@ À϶§ ÇÑ ±ÙÀÌ µÈ´Ù. 
[2014-06-16 14:01:49]


1/2, Total : 34
No TITLE ID Date View
ÀÌ »çÀÌÆ®´Â ±¤°í ¼öÀÍÀ¸·Î ¿î¿µµË´Ï´Ù. ezformula 2018-03-06 1753
¿©·¯ºÐµéÀÌ ¸¸µé¾î°¡´Â °ø°£ÀÔ´Ï´Ù. master 2006-01-01 2093
32 sqr ÇÔ¼ö Ãß°¡ - sqr function added ezformula 2019-12-21 1382
31 Guest °èÁ¤ °ø°³ - Using guest ID ezformula 2018-12-03 1453
30 °è»ê °á°ú ¸µÅ© º¹»ç ±â´É Ãß°¡ ¹× Àμâ¿ë È­¸é º¸±â ¹öÆ° º¯°æ - Add link copy function ... ezformula 2018-07-30 1956
29 ¼ö½Ä ¸®½ºÆ®¿¡ ¼³¸í±×¸² º¸¿©ÁÖµµ·Ï ¼öÁ¤ÇÔ. ezformula 2018-05-07 1458
28 ¿¬°á¼ö½Ä °è»ê½Ã ÀÚ·á ÀԷ¶õ ±¸ºÐ ezformula 2017-12-21 1018
27 Áñ°Üã±â ¸µÅ©¿Í Àμâ¿ë È­¸é ¸µÅ© Ãß°¡ ezformula 2017-07-31 1019
26 ¹æ¸í·ÏÀ» ¾²¸é »ý±â´Â ÁÁÀº Á¡ [2] ezformula 2017-07-22 1004
25 °è»ê °á°ú¸¦ °øÀ¯ÇÒ ¼ö ÀÖµµ·Ï ¸µÅ© º¹»ç ±â´ÉÀ» Ãß°¡ ÇÏ¿´½À´Ï´Ù. [1] ezformula 2017-07-14 1072
24 ¸ð¹ÙÀÏ À¥ ¼­ºñ½º ½ÃÀÛ - Starting Mobile Web service ezformula 2017-03-25 965
23 ¿¬°á °è»ê±â ÀÛ¼º/Á¶È¸ ±â´É Ãß°¡ ezformula 2016-09-21 1033
22 ezFormulae has been launched in android market ezformula 2016-03-14 1357
21 integer ÇÔ¼ö Ãß°¡ ezformula 2016-03-06 1097
20 ezformula ¾Û °Ô½Ã ¾Ë¸² 2 ezformula 2016-03-01 1075
19 µåµð¾î 1,000,000 ºä µ¹ÆÄ... ezformula 2015-10-20 1038
18 ¿©·¯ ¼ö½ÄÀ» °è»êÇÏ´Â ¼­¼úÇü °è»ê±â(Ver.B) ezformula 2014-07-13 1753
¿©·¯ ¼ö½ÄÀ» °è»êÇÏ´Â ¼­¼úÇü °è»ê±â(Ver.A) [6] ezformula 2014-06-08 2377
16 ¼­ºñ½º Àç°³ ¾È³» master 2013-01-16 1638
15 Á¤»ó¿î¿µ Àç°³ [1] master 2011-08-10 2154
14 °è»ê ±â´É ÁßÁö ¾È³» master 2011-08-07 2203
13 ¾Èµå·ÎÀ̵å Æù¿¡¼­ â ±úÁü Çö»ó ¼öÁ¤ [1] master 2011-01-10 3008
12 Factorial ÇÔ¼ö Ãß°¡ master 2010-03-21 2225
11 Ä«Å×°í¸® °ü¸®ÀÚ ¸ðÁý [2] ezformula 2008-09-08 5619
10 ¿¬°á°è»ê±â Å×½ºÆ® [1] master 2008-07-26 2614
9 °Ô½ÃÆÇ¿¡ ¹«Â÷º° ±¤°íÇϽô ºÐµé Çʵ¶... [1] master 2008-03-01 2589
8 arcsin, arccos ÇÔ¼ö Ãß°¡ µî master 2006-08-14 3377
7 Á¢¼ÓÅë°è ÃÑ ¼ö½ÄÁ¶È¸¼ö Ãß°¡ esne 2006-05-09 2365
6 ¼ö½Ä µî·Ï°ú ÀÌ¿ë ezformula 2005-08-31 6066
5 arctan ÇÔ¼ö Ãß°¡ master 2005-06-26 2903
1   2   ³¡ ÆäÀÌÁö
À̸§ Á¦¸ñ ³»¿ë