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shuishenwy

金虫 (小有名气)

好长的方程式啊
11楼2013-09-30 09:57:51
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坠落天石

木虫 (小有名气)

引用回帖:
11楼: Originally posted by shuishenwy at 2013-09-30 09:57:51
好长的方程式啊

1.code]-28900[/code]+

2.
CODE:
(6*H^2*pi^2*r0^3*((555609333788003*r0^6*log(pi*(24*H - 25)*r0^3 + 2167500)*(24*H - 25)^2)/29386339412313374720000000 - (3*pi*r0^3*(24*H - 25))/722500 + 9/2))/112890625+sqrt(1562500 + r0^2)/15000000 + (289*(-((289*atan((2*sqrt(3*pi)*sqrt(1562500 + r0^2)*r0^3)/sqrt(r0^3*(-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(r0^3*(-9375000*pi*r0^3 +sqrt(83521 + 87890625000000*pi^2*r0^6))))

+

3.
CODE:
-((289*atan((2*sqrt(3*pi)*sqrt(1562500 + r0^2)*r0^3)/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))-((-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6))*atan((2*r0^4)/sqrt(3125000*r0^6 - (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi))))/(sqrt(9375000*pi*r0^6 - r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))) - 1/r0^3*sqrt(r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))*atan((2*r0*r0^3)/sqrt(3125000*r0^6 + (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi)))))/(60000000*sqrt(3*pi)*sqrt(83521 + 87890625000000*pi^2*r0^6))-sqrt(1562500 + 3^2)/15000000 + (289*(-((289*atan((2*sqrt(3*pi)*sqrt(1562500 + 3^2)*r0^3)/sqrt(r0^3*(-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(r0^3*(-9375000*pi*r0^3 +sqrt(83521 + 87890625000000*pi^2*r0^6)))))

+
4.
CODE:
(289*atan((2*sqrt(3*pi)*sqrt(1562500 + 3^2)*r0^3)/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))- ((-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6))*atan((2*3*r0^3)/sqrt(3125000*r0^6 - (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi))))/(sqrt(9375000*pi*r0^6 - r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6)))

5.
CODE:
- 1/r0^3*sqrt(r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))*atan((2*3*r0^3)/sqrt(3125000*r0^6 + (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi)))))/(60000000*sqrt(3*pi)*sqrt(83521 + 87890625000000*pi^2*r0^6))-((1250/(H^2*r0^2 + 1562500)^(1/2) - 2)*(2*pi*r0^2 - 57800))/(((H^2*r0^2 + 1562500)^(1/2)*(pi*r0^2 - 28900))/(120*H*pi*r0^2) - 1)=0

第一个式子可以分成这5部分,还有3,4式是相似的!麻烦了!
12楼2013-09-30 13:50:41
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坠落天石

木虫 (小有名气)

引用回帖:
12楼: Originally posted by 坠落天石 at 2013-09-30 13:50:41
1.code]-28900+

2.(6*H^2*pi^2*r0^3*((555609333788003*r0^6*log(pi*(24*H - 25)*r0^3 + 2167500)*(24*H - 25)^2)/29386339412313374720000000 - (3*pi*r0^3*(24*H - 25))/722500 + 9/2))/112890625+sqrt(15625 ...

1.
CODE:
-28900

2.
CODE:
+(6*H^2*pi^2*r0^3*((555609333788003*r0^6*log(pi*(24*H - 25)*r0^3 + 2167500)*(24*H - 25)^2)/29386339412313374720000000 - (3*pi*r0^3*(24*H - 25))/722500 + 9/2))/112890625+sqrt(1562500 + r0^2)/15000000

3.
CODE:
-((289*(-((289*atan((2*sqrt(3*pi)*sqrt(1562500 + r0^2)*r0^3)/sqrt(r0^3*(-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(r0^3*(-9375000*pi*r0^3 +sqrt(83521 + 87890625000000*pi^2*r0^6))))+(289*atan((2*sqrt(3*pi)*sqrt(1562500 + r0^2)*r0^3)/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))-((-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6))*atan((2*r0^4)/sqrt(3125000*r0^6 - (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi))))/(sqrt(9375000*pi*r0^6 - r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))) - 1/r0^3*sqrt(r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))*atan((2*r0*r0^3)/sqrt(3125000*r0^6 + (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi)))))/(60000000*sqrt(3*pi)*sqrt(83521 + 87890625000000*pi^2*r0^6))-sqrt(1562500 + 3^2)/15000000 )

4.
CODE:
+(289*(-((289*atan((2*sqrt(3*pi)*sqrt(1562500 + 3^2)*r0^3)/sqrt(r0^3*(-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(r0^3*(-9375000*pi*r0^3 +sqrt(83521 + 87890625000000*pi^2*r0^6)))))+(289*atan((2*sqrt(3*pi)*sqrt(1562500 + 3^2)*r0^3)/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))))/sqrt(-r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))- ((-9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6))*atan((2*3*r0^3)/sqrt(3125000*r0^6 - (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi))))/(sqrt(9375000*pi*r0^6 - r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6)))

5.
CODE:
- 1/r0^3*sqrt(r0^3*(9375000*pi*r0^3 + sqrt(83521 + 87890625000000*pi^2*r0^6)))*atan((2*3*r0^3)/sqrt(3125000*r0^6 + (r0^3*sqrt(83521 + 87890625000000*pi^2*r0^6))/(3*pi)))))/(60000000*sqrt(3*pi)*sqrt(83521 + 87890625000000*pi^2*r0^6))-((1250/(H^2*r0^2 + 1562500)^(1/2) - 2)*(2*pi*r0^2 - 57800))/(((H^2*r0^2 + 1562500)^(1/2)*(pi*r0^2 - 28900))/(120*H*pi*r0^2) - 1)=0

上面分错了,是这样的
13楼2013-09-30 13:56:42
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坠落天石

木虫 (小有名气)

14楼2013-10-01 09:29:36
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坠落天石

木虫 (小有名气)

15楼2013-10-02 09:35:02
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坠落天石

木虫 (小有名气)

我现在不奢望能解这个方程组了!!!!
谁能告诉我mathematics怎么解隐函数方程的数值解啊!

比如:x+y=0;当x={0,0.1,0.2,0.3,0.4,……,1.0}
求y的数值解!


怎么求?
16楼2013-10-02 19:30:58
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坠落天石

木虫 (小有名气)

坠落天石: 回帖置顶 2013-10-03 18:58:12
谁能告诉我mathematics怎么解隐函数方程的数值解啊!

比如:x+y=0;当x={0,0.1,0.2,0.3,0.4,……,1.0}
求y的数值解!


怎么求?
17楼2013-10-03 09:36:16
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walk1997

金虫 (著名写手)

Clear["Global`*"];
eq[x_] := {x + y == 0};
var = {y};
r1[x_?NumericQ] := (y /. NSolve[eq[x], var])[[1]]
xx = {0.1, 0.2, 0.3, 0.4, 0.5};
Map[r1[#] &, xx]
Plot[r1[x], {x, 0, 1}]
--------------------
用到你代码的时候 ,把 方程和 变量换下 前三行
多个解的时候 最好打印出来看看 换下[[1]]
或者用FindRoot 速度快些 不搜索全部解
18楼2013-10-03 17:54:01
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坠落天石

木虫 (小有名气)

引用回帖:
18楼: Originally posted by walk1997 at 2013-10-03 17:54:01
Clear;
eq := {x + y == 0};
var = {y};
r1 := (y /. NSolve)[]
xx = {0.1, 0.2, 0.3, 0.4, 0.5};
Map
Plot
--------------------
用到你代码的时候 ,把 方程和 变量换下 前三行
多个解的时候 最好打印出 ...

FindRoot是啥意思啊?怎么用啊?
19楼2013-10-03 18:57:06
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坠落天石

木虫 (小有名气)

20楼2013-10-09 20:58:04
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