线性与非线性

 

1. 线性linear,指量与量之间按比例、成直线的关系,在数学上可以理解为一阶导数为常数的函数;
   非线性non-linear则指不按比例、不成直线的关系,一阶导数不为常数。
2. 线性的可以认为是1次曲线,比如y=ax+b ,即成一条直线
   非线性的可以认为是2次以上的曲线,比如y=ax^2+bx+c,(x^2是x的2次方),即不为直线的即可
3. 两个变量之间的关系是一次函数关系的——图象是直线,这样的两个变量之间的关系就是“线性关系”;
   如果不是一次函数关系的——图象不是直线,就是“非线性关系
4. “线性”与“非线性”,常用于区别函数y = f (x)对自变量x的依赖关系。线性函数即一次函数,其图像为一条直线。其它函数则为非线性函数,其图像不是直线。
  线性,指量与量之间按比例、成直线的关系,在空间和时间上代表规则和光滑的运动;而非线性则指不按比例、不成直线的关系,代表不规则的运动和突变。
  比如,普通的电阻是线性元件,电阻R两端的电压U,与流过的电流I,呈线性关系,即R=U/I,R是一个定数。二极管的正向特性,就是一个典型的非线性关系,二极管两端的电压u,与流过的电流i不是一个固定的比值,即二极管的正向电阻值,是随不同的工作点(u、i)而不同的。
5. 在数学上,线性关系是指自变量x与因变量yo之间可以表示成y=ax+b ,(a,b为常数),即说x与y之间成线性关系。

不能表示成y=ax+b ,(a,b为常数),即非线性关系,非线性关系可以是二次,三次等函数关系,也可能是没有关系。

 

 

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  299. If you’re still on the fence: grab your favorite earphones, head down to a Best Buy and ask to plug them into a Zune then an iPod and see which one sounds better to you, and which interface makes you smile more. Then you’ll know which is right for you.

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