非线性函数与线性函数该怎样判别?

对向量的求导就是求函数对 各个分量的导数.无论线性函数还是非线性函数,都可以表示为对各个分量的函数,如果你考虑分量的函数,这就是普通多元函数偏导数

The Angle nets data processing, its function model for nonlinear model, for this kind of nonlinear model of the adjustment with problems, the classic indirect adjustment with nonlinear function method will always be in place of approximate parameter according to Taylor polynomial series to an item, ignore a high times, and using the linear model to approximate instead of nonlinear model with linear least square method after obtained the valuations of parameters. Obviously. The linear approximation method of the parameters with approximate requirements the true value deviation smaller, otherwise, the adjustment with the result, to meet the higher accuracy. But with the surveying and mapping the development of science and technology, especially of the 3 S technique is widely used, only stay in linear degree of indirect adjustment methods, to meet the development of science and technology to the corresponding parameter precision requirements, for this reason, many scholars had a lot of a fruitful work, and achieved many the solution method. And nonlinear least squares method of data processing is nonlinear measure the most basic methods.

这样写 不过有几个问题
1 g一定需要有一定的约束 比如所有的和为1之类 否则求出来肯定是0
2 你这个不是非线性的 你看的非线性部分其实都是常系数而已
model:
sets:
row/1..3/:a,b;
col/1..4/:c,d;
link(row,col):g;
endsets
data:
a=13 65 23;
b=43 82 34;
c=69 26 73 90;
d=23 21 10 47;
enddata
min=@sum(link(i,j):@sqrt((c(j)-a(i))^2+(d(j)-b(i))^2)*g(i,j));
end

吸纳性函数是指函数中未知数的指数为1,且未知数不被三角函数等函数包含的函数,其在坐标系里表现的是直线,其他的函数都是非线性函数.
比如：Y=X/2,Y=X+4,F=X+21Y-Z/3等两个未知数的指数都是1,坐标系里表现的是一条直线,那么它们就是现行函数
Y=2/X,它的自变量X的指数是-1,且其坐标系中表现为双曲线,所以为非线性函数
Y=ax^2+bx+c,它的自变量x有一个指数是2,且在坐标系中表现为抛物线,所以是非线性
Y=cos（x+2）,它的自变量包含在余弦函数里面,其坐标系中表现为余弦波形,所以是非线性
Y=5^x,它的自变量是作为常数5的指数出现的,包含在指数函数里面,其坐标系中表现为指数线形,是非线性

因为非线性往往不是稳定的,就是说后面的数据可能与初值差距越来越大（工程技术都是近似数据啦）.所以很常用的对数化就是把非线性化成线性,不然后来曲线与曲线差距可能变大,但直线相对好些.

(1)f(min)=0;
(2)f(max)=1;
(3)在定义域中的x,满足f(min)

你是南开的吗?

只有当其为一次函数时才是线性的,比如f(x)=ax+by+c的形式才为线性的.
其余的情况都为非线性的,比如f(x)=axy+b,f(x,y)=x^2+ay+