But let me go back to these sines, cosines and logarithms.

我们再来说说正弦、余弦和对数函数。

I actually write it with these little ridges in it, so SOH... CAH... TOA.

我写的时候会写成这种三角的形状，这是正弦，余弦，正切。

And compute over 10,000 calculations by cosine, square root and lately Analytic Geometry.

还要完成上万笔计算处理余弦，平方根，最近还用起解析几何。

So the factor by which the slice gets squished down in this direction is exactly cosine of theta.

因此，切片 在这个方向上被压扁的因素正是 theta 的余弦。

So, for example, I don't think that being a math person means that you can recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably.

所以，比如，我认为成为数学家不是指你要能背诵正弦、余弦、正切的函数公式和转化运用对数和指数。

And the answer to the equation would have been cosine x, like COS x.

这个方程的答案是余弦x，即COS x。

There are others, sine, cosine, add, subtract.

还有其他的，如正弦、余弦、加法、减法。

When the AI has a need, its query gets turned into a vector too, and the system finds the tools whose vectors are closest in meaning space, typically using cosine similarity.

当人工智能有需求时，的查询也会被转换为向量，系统会找到语义空间中向量最近的工具，通常使用余弦相似度进行计算。

Well, essentially, the discrete cosine transform and quantization steps go through each section of the image and find areas that have a high frequency of alternating prominence or luminance.

基本上，离散余弦换和量化步骤会对图像的每个部分进行处理，找出那些亮度交替化频率较高的区域。

It's typically associated with thinking both quickly and abstractly, like teasing out the logic of a puzzle, rather than remembering how to find the cosine of an angle.

通常与快速和抽象的思考有关，比如梳理出谜题的逻辑， 而不是记住如何找到角度的余弦值。

For cosine, they add to four and then repeat the process for two hertz, three hertz, and so on, up to seven hertz.

对于余弦，他们将其加到四，然后对二赫兹、三赫兹等重复该过程，直至七赫兹。

Cos frequency basically means time you repeat something - the amount of times you repeat something in a given amount of time.

余弦频率基本上意味着你重复某事的时间 - 在给定时间内重复某事的次数。

Like I said earlier, what you get is no longer a nice, pure cosine wave; it's something a little more complicated.

就像我之前说的， 你现在得到的已经不再是简单纯粹的余弦波；得稍微复杂一些。

And then I need to multiply by cosine of the angle in this case the angle is 30 degrees.

然后我需要乘以角度的余弦，在这种情况下角度是 30 度。

How is knowing cosines gonna help you with your backstroke?

学会余弦对仰泳有什么帮助？

I studied trigonometry for a month. I sometimes dreamed about sine, cosine and tangent, about mysterious angles and concussed computations, but for all this I made no real progress. I could not self-teach trigonometry. But I knew someone who had.

我学习一个月的三角学。我有时会梦见正弦、余弦和正切，梦见神秘的角度和我绞尽脑汁的计算，尽管如此，我并未取得任何实质性进展。我无法自学三角学，我认识一个自学成功的人。

I don't have the slightest idea what sine and cosine mean.

我根本不知道正弦和余弦是什么意思。

According to the law, we're solving the integral of the magnetic field, times the cosine of theta, with respect to the points along the circle.

根据定律，我们求解磁场的积分部分，有时是 theta 的余弦，关于沿圆的点。

Third, both the loss function CIoU (Complete Intersection over Union) and cosine annealing algorithm are used to get the better training effect of the model.

第三，采用CIoU（完全交并比）损失函数和余弦退火算法，以提升模型的训练效果。

I noted with pleasure that a fresh coat of grime had been given to the Dearborn Street station, though I was hardly vain enough to believe that it had anything to do with my visit.

我愉快地注意到， 迪尔伯恩街车站焕然一新， 尽管我并不自负到认为这与我的到访有关。 女人们钟爱这位冲动的爱尔兰冒险家，他宁可战斗也不愿进食， 反之亦然。 一天晚上，他在朴茨茅斯的“马嚼子” 酒馆里焦躁不安， 无意间听到一个醉醺醺的炮手副手随口说的一句话… … 第二天清晨， “赫尔女仆号” ，一艘装备36门火炮的战列舰， 从巴斯港启航， 眨眼间便驶入海中， 随潮水顺流而下， 目的地是孟买， 任务是联姻。 我的曾祖父作为乘客登上这艘船… … 53天后，他几乎全靠镶嵌浮雕宝石的胸针和猎枪射下的松鸡维生， 终于望见伊斯普明市的塔楼， 那是“聋哑人与余弦” 的圣城，狂热的穆斯林战士教派。