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The second thing is, just as in the case of the violin string, the wave equation, as posed by Schrodinger, has a plurality of solutions.
第二，就那个小提琴弦而言，波动方程，被薛定谔所提出的，有许多解法。
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All of the sounds are produced by the strings on the instrument and how the bow is pulled across the instrument.
所有声音都是靠乐器上的弦产生的,琴弓在乐器上来回滑动发声
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Would she have imagined that the world famous whatever remembered how many strings were on the lyre on the bench beside the girl on the label of the cigar box he'd stated at in the tool shed at age ten while she, age eleven.
她能想象到这个世界闻名的诸如此类的人,竟然记得当她11岁，他10岁时在工具间里盯着看的,那雪茄盒上的标签上的姑娘身边,长椅上的竖琴有几根弦吗。
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Let's take the situation where we take a violin string and we pluck it.
让我们设想这样一个情景,我们拿着小提琴的弦拉直它。
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That's why I call them string guys.
这也是我把他们叫做"弦男"的原因
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The strings are now metallic but sixteenth, seventeenth to eighteenth century they would have been made out of cat or sheep gut.
弦现在是金属的,但在十六,十七,到十八世纪,弦是用猫肠或羊肠线制作的
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You can do it on other instruments but on a string instrument it's the difference.
很多乐器都能奏出颤音,但弦乐器上 这种揉弦产生的颤音是不一样的
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The string is vibrating higher when it's exactly twice what the lower one is.
高音弦的震动频率,正好是低音弦的两倍
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So that's without vibrato, not that interesting in my opinion, so with vibrato.
这是没有揉弦的表现,对我来说不是很动听,接下来是有揉弦的
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The modes of vibration in that string are quantized.
在那条弦上的震动模式是量子化的。
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And that is a violin string.
那就是小提琴的弦。
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That's the harmonic series that's on that, and what the valves do is they shorten and lengthen that vibrating column of air very much like the cello string on the fingerboard.
这就是圆号上的泛音列,活瓣的作用是增长或减短,空气柱的高度,很像大提琴指板上的弦
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Here is the pitch in--of--a string an octave higher so you can see it this way. As you probably know, if you take a long string and pluck it, it's going to take that long string a long time to pass that sort of cycle, if you will, just one pass through that cycle.
这也是个音高,一个高八度的音弦,你可以这样这样看 你们可能知道,如果你拨动长弦,长弦要经过很长时间,才能完成一个震动周期,如果你想,可以尝试下
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