coefficients
US
・UK
B2 中高級
n. pl.名詞 (複數)係數
All coefficients, when multiplied by two, give an even number
影片字幕
量子計算機是如何工作的？ (How Does a Quantum Computer Work?)
06:47
- where these coefficients indicate the relative probability of finding the electron in one
如果你有2個比特你可以寫0,0; 0,1; 1,0; 1,1。對嗎？
- So determine the state of this two spin system, I need to give you four numbers, four coefficients,
來創造這些真有點發瘋的狀態即所有三種角度有一個重叠的位置同時是一個和
鼴鼠 (The Mole)
07:02
- remember those coefficients that you write in front of the compounds in an equation like
還記得那些在分子式裏面，你寫在化合物前面的係數，譬如這些？
- with in the lab. So if we're ever looking at a reaction like this the coefficients remember
所以，如果我們在觀測一個這樣的化學反應，那些係數，記著，
驅動振盪器上 (Driven Oscillator上)
10:00
- Therefore, in order for this equation to be always true for any time, we need the two coefficients in front of cosine omega t and in front of sine omega t to be zero.
是以，為了使該方程在任何時間都始終成立，我們需要餘弦 omega t 前面和正弦 omega t 前面的兩個係數為零。
3.8 菲涅爾方程 (3.8 Fresnel Equations)
23:07
- We have the electric field in the plane of the screen We have essentially a distance between peaks We're going to call the wavelength when we go into a material the wavelength changes because the phase changes when we go into the material and Essentially through Snell's law we can relate the incident angle and the transmitted angle We know the incident angle is equal to the reflected angle and we can calculate the magnitudes of e sub i well If we're given e sub i and we can calculate the magnitudes of e sub t and e sub r through the reflection and transmission Coefficients for either the perpendicular polarization case or the parallel polarization case quick summary And these are the types of figures that you're going to see in most of your textbooks So let's consider the gray plane here in this figure being the plane of incidence What happens if we have an electric field that's not in the plane of incidence in other words this green line that we're going to Doesn't stick in either the s-plane perpendicular to the plane of incidence or the p-plane parallel to the plane of incidence This is pretty straightforward.
我們有螢幕平面上的電場，我們有峰值之間的距離，我們稱之為波長，當我們進入材料中時，波長會發生變化，因為我們進入材料中時，相位會發生變化，基本上，通過斯涅爾定律，我們可以將入射角和透射角聯繫起來，我們知道入射角等於反射角，我們可以計算出 e sub i 的大小。我們可以通過垂直極化或平行極化情況下的反射係數和透射係數來計算 e sub t 和 e sub r 的大小。平面或平行於入射平面的 p 平面上 這很簡單。
- Let's call it phi the Perpendicular component is going to be proportional to the sine of phi through simple sine of phi through simple geometry and Essentially we just do our calculation twice one for parallel one for perpendicular Sum it up at the end to get the overall field superposition works here as well So I've taken you on kind of a whirlwind tour of Fresnel's equations Let's actually stop for a minute use some real numbers put in some Representative values and try to figure out what we're doing here What I'm going to assume is that I've got essentially a block of material The index of refraction on this side is 1 so we assume the incident wave is going through free space the index of refraction e sub in sub t is 2 in the material and I just chose those numbers I could have chosen any set of numbers But these are the ones I chose so our incident wave is going to come in here at some angle theta sub I to the normal and We want to know how strong or what the magnitude of the reflected and transmitted fields are In essence, what I've done is I went into the computer program I like to use for plotting called MATLAB and I've essentially plotted the equations for the reflection coefficient and the transmission coefficient as a function of incidence angle theta I and so theta I is given in degrees right here and Let's first look at the electric field that's reflected So if the electric field is P polarized, so our electric field vector points in that direction right there Then the green line essentially represents the strength of the electric field that's reflected So you can see if you come in at normal incidence in a material Whose indices of refraction are given by one on the incident wave and two on the transmitted side about 0.35 of the electric field or 35 percent is going to be reflected if the incidence angle is zero or the beams coming in straight On in that direction, or if you've come out to about a 30 degree angle that hasn't dropped very much But by the time you get to about 50 degrees Only about maybe 0.16 of the incident field 16 percent is reflected And as you drop down to 90 degrees, you can see that pretty much all the light So I've taken you kind of on a whirlwind tour of Fresnel's equation So let's stop for a minute and essentially do the calculations let's actually calculate the reflection and transmission coefficients and do it for a Set of materials where essentially the incident wave is coming in with an index of refraction 1 So we're in free space over on this side and the index of refraction of the transmitted wave for the index of refraction the material the waves going into is 2 and Essentially if we do that we can use Fresnel's equations given the incident electric field to calculate Relatively how strong the reflected and transmitted electric fields are so let's first look at the reflected electric field If we do this calculation and essentially plug in theta sub I and I've represented the angle of incidence here in degrees So this is a 30 degree angle of incidence a 70 degree angle of incidence a zero degree angle of incidence down here is Essentially going to be when the wave is coming in at normal incidence because the angle between the incident k vector and the surface normal is Zero, there's no difference between them for normal incidence.
垂直分量將與 phi 的正弦成正比，通過簡單的幾何原理，我們只需計算兩次，一次是平行分量，一次是垂直分量。這邊的折射率是 1 所以我們假設入射波穿過自由空間 材料的折射率 e sub in sub t 是 2 我選擇了這些數字 我可以選擇任何一組數字 但這是我選擇的數字我所做的就是進入我常用的計算機程序 MATLAB，繪製出反射係數和透射係數與入射角θ I 的函數關係式、那麼我們的電場矢量就指向這個方向，然後綠線基本上代表了反射電場的強度。如果入射角度為零，或者光束直射過來，或者入射角度為 30 度，那麼
菲涅爾衍射解釋 (Fresnel Diffraction Explained)
09:27
- So it's some coefficient or some bunch of coefficients A naught times G in as a function of X, E to the JK, XS.
是以，它是一些係數或一些係數 A naught times G in 作為 X、E 到 JK、XS 的函數。
旋光子入門 2：瓊斯矢量和光偏振 (Spinors for Beginners 2: Jones Vectors and Light Polarization)
17:52
- In fact, we can make the wave's polarization have any angle on this circle, if we set the coefficients in front of H and V properly.
事實上，只要我們適當設置 H 和 V 前面的係數，就可以使波的偏振在這個圓上具有任意角度。
#11 機器學習專業【課程 1，第 1 周，第 3 課 (#11 Machine Learning Specialization [Course 1, Week 1, Lesson 3])
09:05![#11 機器學習專業【課程 1，第 1 周，第 3 課 (#11 Machine Learning Specialization [Course 1, Week 1, Lesson 3])](https://thumbnail.voicetube.com/w/480/h/270/CFN5zHzEuGY.jpg)
- Sometimes you also hear the parameters w and b referred to as coefficients or as weights.
有時，你也會聽到參數 w 和 b 被稱為係數或權重。
