应《网络安全法》要求，自2017年10月1日起，未进行实名认证将不得使用互联网跟帖服务。为保障您的帐号能够正常使用，请尽快对帐号进行手机号验证，感谢您的理解与支持！

24小时热门版块排行榜    

小木虫论坛-学术科研互动平台 » 计算模拟区 » 程序语言 » MATLAB/Mathematica » 求解非线性方程组
41/1返回列表
查看: 918  |  回复: 3
只看楼主 @他人 存档 新回复提醒 (忽略) 收藏    在APP中查看

七匹狼狗

木虫 (小有名气)

[求助] 求解非线性方程组 已有1人参与

新人，求了好久都求不出来
f=[f1;f2;f3];
f1=sin(x2 + q1 - x1)*cos(alpha1)*((cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*(2*c*x2*ipg1*sin(deltaf1) - ipg1*sin(deltaf1) + 1) + E1*ipg1*sin(deltaf1)*(2*c*x2 - 1)) - cos(x2 + q1 - x1)*cos(alpha1)*((S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)))*(2*c*x2*ipg1*sin(deltaf1) - ipg1*sin(deltaf1) + 1) + XB1*ipg1*cos(deltaf1)*(2*c*x2 - 1) + ipg1*x3*cos(alpha1)*cos(deltaf1)*(2*c*x2 - 1)) - ipg1*cos(deltaf1)*sin(alpha1)*(2*c*x2 - 1)*(E1 + rg1*cos(x2 + q1 - x1) - S1*sin(x2 + q1) + x3*cos(x2 + q1 - x1)*sin(alpha1)));
f2= Zp1 - X1*sin(deltaf1 + deltaf2) - Am1*cos(a1) - xp3*cos(a1) + yp3*sin(a1) - XB1*sin(deltaf1 + deltaf2)*sin(deltaf1) + E1*sin(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2) - x3*sin(deltaf1 + deltaf2)*cos(alpha1)*sin(deltaf1) - S1*sin(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*sin(x2 + q1) + XB1*cos(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*cos(deltaf1) + S1*cos(x2 + q1)*sin(deltaf1 + deltaf2)*cos(deltaf1) + rg1*sin(x2 + q1 - x1)*sin(deltaf1 + deltaf2)*cos(deltaf1) + rg1*sin(x2*ipg1*(c*x2 - 1))*cos(x2 + q1 - x1)*cos(deltaf1 + deltaf2) + x3*cos(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*cos(alpha1)*cos(deltaf1) + x3*sin(x2 + q1 - x1)*sin(deltaf1 + deltaf2)*cos(deltaf1)*sin(alpha1) + S1*cos(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*cos(x2 + q1)*sin(deltaf1) + x3*sin(x2*ipg1*(c*x2 - 1))*cos(x2 + q1 - x1)*cos(deltaf1 + deltaf2)*sin(alpha1) + rg1*cos(x2*ipg1*(c*x2 - 1))*sin(x2 + q1 - x1)*cos(deltaf1 + deltaf2)*sin(deltaf1) + x3*cos(x2*ipg1*(c*x2 - 1))*sin(x2 + q1 - x1)*cos(deltaf1 + deltaf2)*sin(alpha1)*sin(deltaf1);
f3=(abs(cos(deltaf1)*(cos(pi/2 - deltaf1 - deltaf2)*(sin(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) - sin(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))) + sin(pi/2 - deltaf1 - deltaf2)*(cos(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + sin(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1)) - cos(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))))) + sin(deltaf1)*(sin(pi/2 - deltaf1 - deltaf2)*(sin(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) - sin(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))) - cos(pi/2 - deltaf1 - deltaf2)*(cos(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + sin(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1)) - cos(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))))))^2 + abs(cos(deltaf1)*(sin(ipg1*(x2 - c*x2^2))*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*((E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*cos(deltaf1)^2 + (E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*sin(deltaf1)^2)))^2 + abs(sin(deltaf1)*(sin(ipg1*(x2 - c*x2^2))*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*((E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*cos(deltaf1)^2 + (E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*sin(deltaf1)^2)))^2)^(1/2) - Am1*sin(a1) - yp3*cos(a1) - xp3*sin(a1);
上式中：
rg1=110.440;
alpha1=roundn(19*pi/180,-6);
q1=roundn(69.4900*pi/180,-6);
ipg1=3.2953;
S1=101.7300;
deltaf1=roundn(16.1035*pi/180,-6);
deltaf2=roundn(69.0784*pi/180,-6);
XB1=0.5300;%此处的字母“b”多余，删除
X1=-1.9100;
E1=2.5400;
c=-0.000010;
a1=roundn(17.7*pi/180,-6);
Am1=roundn(37.5/sin(a1)-35/2,-6);
Zp1=0;
xp3=2.604843;
yp3=-1.324843;
求解[x1;x2;x3]
回复此楼

» 猜你喜欢

» 本主题相关价值贴推荐，对您同样有帮助:
1楼 2015-11-27 09:34:09
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖

月只蓝

主管区长 (职业作家)

【答案】应助回帖

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ...
感谢参与，应助指数 +1
七匹狼狗: 金币+500, ★★★很有帮助, 虽然没怎么看懂，也不知道结果对不对，但真能算出来，而且速度很快！ 2015-11-27 20:55:09
三角函数，应该有多组解，现求得x1，x2，x3=1附近的解，MATLAB代码如下：
CODE:
function solve_neqs
clear all;clc
format long
x0=[1 1 1];
[x fval]=fsolve(@n_eqs,x0);

[x ;fval]'


function f=n_eqs(u)
x1=u(1);
x2=u(2);
x3=u(3);

rg1=110.440;
alpha1=roundn(19*pi/180,-6);
q1=roundn(69.4900*pi/180,-6);
ipg1=3.2953;
S1=101.7300;
deltaf1=roundn(16.1035*pi/180,-6);
deltaf2=roundn(69.0784*pi/180,-6);
XB1=0.5300;%此处的字母“b”多余，删除
X1=-1.9100;
E1=2.5400;
c=-0.000010;
a1=roundn(17.7*pi/180,-6);
Am1=roundn(37.5/sin(a1)-35/2,-6);
Zp1=0;
xp3=2.604843;
yp3=-1.324843;

f1=sin(x2 + q1 - x1)*cos(alpha1)*((cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*(2*c*x2*ipg1*sin(deltaf1) - ipg1*sin(deltaf1) + 1) + E1*ipg1*sin(deltaf1)*(2*c*x2 - 1)) - cos(x2 + q1 - x1)*cos(alpha1)*((S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)))*(2*c*x2*ipg1*sin(deltaf1) - ipg1*sin(deltaf1) + 1) + XB1*ipg1*cos(deltaf1)*(2*c*x2 - 1) + ipg1*x3*cos(alpha1)*cos(deltaf1)*(2*c*x2 - 1)) - ipg1*cos(deltaf1)*sin(alpha1)*(2*c*x2 - 1)*(E1 + rg1*cos(x2 + q1 - x1) - S1*sin(x2 + q1) + x3*cos(x2 + q1 - x1)*sin(alpha1));
f2= Zp1 - X1*sin(deltaf1 + deltaf2) - Am1*cos(a1) - xp3*cos(a1) + yp3*sin(a1) - XB1*sin(deltaf1 + deltaf2)*sin(deltaf1) + E1*sin(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2) - x3*sin(deltaf1 + deltaf2)*cos(alpha1)*sin(deltaf1) - S1*sin(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*sin(x2 + q1) + XB1*cos(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*cos(deltaf1) + S1*cos(x2 + q1)*sin(deltaf1 + deltaf2)*cos(deltaf1) + rg1*sin(x2 + q1 - x1)*sin(deltaf1 + deltaf2)*cos(deltaf1) + rg1*sin(x2*ipg1*(c*x2 - 1))*cos(x2 + q1 - x1)*cos(deltaf1 + deltaf2) + x3*cos(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*cos(alpha1)*cos(deltaf1) + x3*sin(x2 + q1 - x1)*sin(deltaf1 + deltaf2)*cos(deltaf1)*sin(alpha1) + S1*cos(x2*ipg1*(c*x2 - 1))*cos(deltaf1 + deltaf2)*cos(x2 + q1)*sin(deltaf1) + x3*sin(x2*ipg1*(c*x2 - 1))*cos(x2 + q1 - x1)*cos(deltaf1 + deltaf2)*sin(alpha1) + rg1*cos(x2*ipg1*(c*x2 - 1))*sin(x2 + q1 - x1)*cos(deltaf1 + deltaf2)*sin(deltaf1) + x3*cos(x2*ipg1*(c*x2 - 1))*sin(x2 + q1 - x1)*cos(deltaf1 + deltaf2)*sin(alpha1)*sin(deltaf1);
f3=(abs(cos(deltaf1)*(cos(pi/2 - deltaf1 - deltaf2)*(sin(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) - sin(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))) + sin(pi/2 - deltaf1 - deltaf2)*(cos(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + sin(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1)) - cos(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))))) + sin(deltaf1)*(sin(pi/2 - deltaf1 - deltaf2)*(sin(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) - sin(ipg1*(x2 - c*x2^2))*cos(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))) - cos(pi/2 - deltaf1 - deltaf2)*(cos(deltaf1)*(sin(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) - cos(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + sin(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1)) - cos(ipg1*(x2 - c*x2^2))*sin(deltaf1)*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))))))^2 + abs(cos(deltaf1)*(sin(ipg1*(x2 - c*x2^2))*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*((E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*cos(deltaf1)^2 + (E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*sin(deltaf1)^2)))^2 + abs(sin(deltaf1)*(sin(ipg1*(x2 - c*x2^2))*(cos(deltaf1)*(XB1 + X1*sin(deltaf1) + x3*cos(alpha1)) + sin(deltaf1)*(S1*cos(x2 + q1) + sin(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - X1*cos(deltaf1))) + cos(ipg1*(x2 - c*x2^2))*((E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*cos(deltaf1)^2 + (E1 + cos(x2 + q1 - x1)*(rg1 + x3*sin(alpha1)) - S1*sin(x2 + q1))*sin(deltaf1)^2)))^2)^(1/2) - Am1*sin(a1) - yp3*cos(a1) - xp3*sin(a1);

f=[f1 f2 f3];

上述代码完全复制进一个新建的m文件中，运行即可。
计算结果：
          x1~x3                     方程残差
   0.540342687064503  -0.000000000000043
   0.076269763905084  -0.000000000000014
   9.546938126545205   0.000000000000013
求解非线性方程组
附图.png
赞一下 回复此楼
MATLAB、MS小问题、普通问题请发帖求助！时间精力有限，恕不接受无偿私信求助。
2楼2015-11-27 11:19:24
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖

七匹狼狗

木虫 (小有名气)
引用回帖:
2楼: Originally posted by 月只蓝 at 2015-11-27 11:19:24
三角函数，应该有多组解，现求得x1，x2，x3=1附近的解，MATLAB代码如下：
function solve_neqs
clear all;clc
format long
x0=;
=fsolve(@n_eqs,x0);

'


function f=n_eqs(u)
x1=u(1);
x2=u(2);
x3= ...

谢谢~
回复此楼
3楼2015-11-27 20:53:47
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖

月只蓝

主管区长 (职业作家)
引用回帖:
3楼: Originally posted by 七匹狼狗 at 2015-11-27 20:53:47
谢谢~...

结果对不对看方程残差就知道了。
赞一下 回复此楼
MATLAB、MS小问题、普通问题请发帖求助！时间精力有限，恕不接受无偿私信求助。
4楼2015-11-28 07:03:20
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖
相关版块跳转 我要订阅楼主 七匹狼狗 的主题更新
41/1返回列表
普通表情 龙 兔 虎 猫
最具人气热帖推荐 [查看全部] 作者 回/看 最后发表
[基金申请] 系统今天又提示维护了，估计离放榜不远了 +12 winnerche 2026-07-29 16/800 2026-08-04 08:18 by Equinoxhua
[有机交流] 一个有机合成实验室都需要哪些设备？ 50+3 kf2781974 2026-07-31 10/500 2026-08-04 08:05 by 88817753
[教师之家] 售SCI一区文章，我:8O5.5.1.O5.4,科目全,可伽急 +3 jRl3mE6ddZGq 2026-08-03 9/450 2026-08-04 07:46 by k7OM8YghWbkC
[找工作] 售SCI一区文章，我:8.O.551.O.5.4,科目全,可伽急 +3 cu9Nq1xK233Z 2026-08-03 9/450 2026-08-04 07:37 by k7OM8YghWbkC
[硕博家园] 售SCI一区T0P文章，我:8.O.55.1.O.54,科目齐全,可+急 +4 cu9Nq1xK233Z 2026-08-03 13/650 2026-08-04 07:30 by k7OM8YghWbkC
[教师之家] 基础研究怎么拉横向，学校到款任务越来越多，难以完成 拉横向，都有哪些途径啊 +9 锦衣卫寒战 2026-07-28 13/650 2026-08-04 07:21 by Ermito
[考博] 售SCI一区T0P文章，我:8.O55.1.O.54,科目全,可十急 +3 cu9Nq1xK233Z 2026-08-03 6/300 2026-08-04 06:10 by k7OM8YghWbkC
[教师之家] 售SCI一区文章，我:8.O.551.O.5.4,科目全,可伽急 +4 cu9Nq1xK233Z 2026-08-03 9/450 2026-08-04 06:07 by k7OM8YghWbkC
[硕博家园] 售SCI一区T0P文章，我:8.O.55.1.O.54,科目齐全,可+急 +3 jRl3mE6ddZGq 2026-08-03 6/300 2026-08-04 04:47 by k7OM8YghWbkC
[博后之家] 售SCI一区文章，我:8O5.5.1.O5.4,科目全,可伽急 +3 cu9Nq1xK233Z 2026-08-03 8/400 2026-08-04 04:46 by k7OM8YghWbkC
[公派出国] 售SCI一区文章，我:8.O.551.O.5.4,科目全,可伽急 +3 cu9Nq1xK233Z 2026-08-03 7/350 2026-08-04 04:46 by k7OM8YghWbkC
[考研] 售SCI一区文章，我:8.O.55.1.O.54,科目齐全,可伽急 +3 cu9Nq1xK233Z 2026-08-03 8/400 2026-08-04 03:21 by k7OM8YghWbkC
[基金申请] 什么时候能放榜呀？ +3 Jacob678 2026-08-03 3/150 2026-08-03 16:14 by gltch
[高分子] UV压敏胶开发 +3 ichall 2026-07-30 5/250 2026-08-03 14:40 by Sunrisepay
[基金申请] 面上提前没消息，有中的吗 +14 archvillain 2026-08-02 16/800 2026-08-03 12:23 by fuweiguochen
[基金申请] 面上再次挂了，太难了，躺也躺不了，倦也卷不过，小学校之殇！ +19 低垂的野花 2026-07-31 25/1250 2026-08-03 09:25 by gy116024
[基金申请] 2026年国自然面上资助率 +16 布布和一二 2026-07-30 22/1100 2026-08-03 09:20 by gy116024
[基金申请] 微信指数没变化，科研之友没阅读 +15 wangze12014 2026-07-28 19/950 2026-08-02 20:05 by 蔡棒棒菂
[考博] 2027年申博 50+3 射雕英雄胜 2026-07-30 3/150 2026-08-02 09:36 by lfy8008
[基金申请] 你们的时间戳变了吗 +3 archvillain 2026-07-30 4/200 2026-07-30 18:53 by levinzhwen
信息提示
关闭
请填处理意见
关闭