为什么牛顿第一定律不是第二定律的特例

做物理作业,看到这样一句话,说:牛顿第一定律是独立的一条定律,绝不能简单地看成牛顿第二定律的特例。于是,我就不理解了,再于是, Google 之,找到一些,但是不太清楚, 于是 Wikipedia ,在英文版找到了答案: http://en.wikipedia.org/wiki/Newton%27s_laws_of_motion#Newton.27s_first_law:_law_of_inertia

Every body perseveres in its state of being at rest or of moving uniformly straight forward, except insofar as it is compelled to change its state by force impressed.[8]

This law is also called the law of inertia.

This is often paraphrased as "zero net force implies zero acceleration", but this is an over-simplification. As formulated by Newton, the first law is more than a special case of the second law. Newton arranged his laws in hierarchical order for good reason (for example, see Gailili & Tseitlin[9], or Woodhouse[10]). The significance of the first law is to establish frames of reference for which the other laws are applicable, such frames being called inertial frames.

To understand why the laws are restricted to inertial frames, consider a ball at rest within an accelerating body: an airplane on a runway will suffice for this example. From the perspective of anyone within the airplane (that is, from the airplane's frame of reference when put in technical terms) the ball will appear to move backwards as the plane accelerates forwards (the same feeling as being pushed back into your seat as the plane accelerates). This motion appears to contradict Newton's second law as, from the point of view of the passengers, there appears to be no force acting on the ball that would cause it to move. The reason why there is in fact no contradiction to the second law is because Newton's second law (without modification) is not applicable in this situation: Newton's first law does not apply because the stationary ball does not remain stationary. Thus, it is important to establish whether the various laws are applicable or not, inasmuch as they are not applicable in all situations.[11] To summarize:[10]

There is a class of frames of reference (called inertial frames) relative to which the motion of a particle not subject to forces is a straight line.

来翻译一下吧,就当是练习英语了,我想我不翻译大家也能看得懂吧:

一切物体总保持匀速直线运动状态或静止状态,直到有外力迫使它改变这种状态为止。

牛顿第一定律也叫做惯性定律。

牛顿第一定律经常解释为“外力为零加速度就为零”,但是这其实被过度简化了。按照牛顿所阐述的,牛顿第一定律不只是牛顿第二定律的特例。牛顿这样分层次安排定律有着很好的理由(比如说,Gailili & Tseitlin[9]和Woodhouse[10])。第一定律的重要性在于它建立了一种其他定律可以应用的参考系,这种参考系叫做惯性系。

想要理解为什么牛顿运动定律只能应用于惯性系,我们考虑一个在加速运动的物体中的静止小球,比如跑道上的飞机。从飞机内的人的视角看(用物理语言说就是把飞机作为参考系),由于飞机正在向前加速,小球似乎要向后运动(就像飞机加速的时候你被向后推的感觉一样)。这种运动好像跟牛第二定律冲突。因为,从地面上人的视角看,好像没有力作用在小球上使它运动。事实上,这并不与牛顿第二定律冲突。其原因是牛顿第二定律(未添加惯性力)在这种情况下不适用。因为原先静止的球现在不保持静止了,所以牛顿第一定律也不适用。由于这些定律并不是总适用,因此有必要确定这些定律是否使用。简单来说:

有这样一种参考系,叫做惯性系。相对于它来观察,不受外力作用的物体的运动为直线运动。

翻译貌似还是不好,唉……英语就这水平了……

谁有什么好的建议,欢迎拍砖。

Copyright (c) 2008 leafduo.com. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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VMware 下安装 Gentoo 的唯一注意事项

好吧,安装 Gentoo 其实挺复杂,不过按手册来就是了。

但是我在 VMware 下安装 Gentoo 却怎么安都连不上网……我郁闷啊……

后来得知,VMware 虚拟的是一块 AMD 网卡,而默认 menuconfig 是不选它的,所以就连不上网了……

所以请在 make menuconfig 的时候选上以下几项:

Device Drivers -> Network device support -> Ethernet (10 or 100Mbit) -> EISA, VLB, PCI and on board controllers 还有它下属的 AMD PCnet32 PCI support 和 Use RX polling (NAPI)

之后编译内核,就 OK 了。

(我被它折腾了很长时间!我郁闷啊!)

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我的字体设置

很久以前把中文字体搞定以后,就再没有搞过字体的问题,前几天看到别人的截图,字体很漂亮,倍感嫉妒……一问之后,用的是 wqy-zenhei ,于是更加郁闷了,明明是一样的字体,我的就不好看……

于是,简单的读了一下 fontconfig手册,改了一个 .fonts.conf ,基于 wqy-zenhei 自带的 config 。没有很仔细地读手册,所以不知道这样的 .fonts.conf 有没有什么错误,不过效果还是不错的,于是贴一下:

先贴效果图:

写这篇 post 的时候打开的网页,这张主要是中文(其实这张加粗的太多了,不太好看):

wqy-zenhei

这张主要是英文,英文字体是 DejaVu :

DejaVu

最后贴 .fonts.conf :

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE fontconfig SYSTEM "fonts.dtd">
 
<fontconfig>
 
    <!-- modified by leafduo@gmail.com -->
    <match target="font">
        <test qual="any" name="family">
            <string>WenQuanYi Zen Hei</string>
            <string>文泉驿正黑</string>
            <string>文泉驛正黑</string>
        </test> 
        <edit name="globaladvance"><bool>false</bool></edit>
        <edit name="spacing"><int>0</int></edit>
        <edit name="antialias" mode="assign"><bool>true</bool></edit>
        <edit name="hinting" mode="assign"><bool>true</bool></edit>
        <edit name="hintstyle" mode="assign"><const>hintnone</const></edit>
        <edit name="autohint" mode="assign"><bool>false</bool></edit>
        <edit name="rh_prefer_bitmaps" mode="assign"><bool>false</bool></edit>
        <edit name="rgba" mode="assign"><const>none</const></edit>
        <edit name="embeddedbitmap"><bool>false</bool></edit>
    </match>
 
    <match target="font">
        <test qual="any" name="family">
            <string>DejaVu Serif</string>
            <string>DejaVu Sans</string>
            <string>DejaVu Sans Mono</string>
        </test>
        <edit name="autohint"><bool>true</bool></edit>
        <edit name="hintstyle"><const>hintfull</const></edit>
        <edit name="antialias"><bool>true</bool></edit>
    </match>
 
    <alias>
        <family>serif</family>
        <prefer>
            <family>DejaVu Serif</family>
            <family>WenQuanYi Zen Hei</family>
        </prefer>
    </alias>
    <alias>
        <family>sans-serif</family>
        <prefer>
            <family>DejaVu Sans</family>
            <family>WenQuanYi Zen Hei</family>
        </prefer>
    </alias>
    <alias>
        <family>monospace</family>
        <prefer>
            <family>DejaVu Sans Mono</family>
            <family>WenQuanYi Zen Hei</family>
        </prefer>
    </alias>
</fontconfig>

嗯,我觉得不错。

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WordPress 2.6

WordPress 2.6 今天发布了。详情可以看官方发布页,也可以看下面的链接:

http://www.underone.com/2008/07/15/wordpress-26-tyner/

http://jiangzhanyong.com/2008/07/wordpress-26-chinese-version-release-878.html

官方有个视频,本来想贴,但是我发现很慢,所以大家还是到官方发布页去看吧。

另外,庆祝一下 10 个分类, 100 个 tags。

WordPress status

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通知

为了更好地建设社会主义和谐社会,这里的后台将在适当的时候勾选 An administrator must always approve the comment ,之后将在适当的时候取消勾选。

这是为我和大家的安全着想,由此造成的不便,希望大家谅解。

虽然这只是一个小地方,但还是谨慎些为好。

我不能保证什么时候来审批大家的 comments ,所以 comments 的出现会有时间不确定的延迟。

特别提示:请勿重复留言。

God bless all.

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