The condition of two surface functions orthogonal Let f (x, y, z) = 0 and G (x, y, z) = 0, which represent a surface respectively So, what are the conditions for these two surfaces to be orthogonal?

The condition of two surface functions orthogonal Let f (x, y, z) = 0 and G (x, y, z) = 0, which represent a surface respectively So, what are the conditions for these two surfaces to be orthogonal?


The so-called orthogonality of two surfaces means that their normal vectors at the intersection are perpendicular to each other



What is the definition of two orthogonal matrices?


Two full rank matrices C and D are all full rank square matrices of order n. The transpose of D = C CD = e (unit matrix) e is also full rank square matrix of order n. It seems that there is no concept of orthogonality of matrices, but vectors have the concept of orthogonality



Urgent: what does the K value and R value in the final table of orthogonal experiment mean, how to find? Online, etc


Ki is the sum of the test results corresponding to the level number I in any column
R is the range. Subtract the smallest K from the largest K



(2) what are the factors and levels of the orthogonal experiment that can be designed with this table
(3) Why is it necessary to carry out separate experimental verification after finding out the best conditions?


1) 8 refers to the total number of tests; 7 refers to the research factors of the test, indicating that there are 7 influencing factors; 2 refers to that there are 2 levels for all 7 factors. For example: Strawberry water loss rate, three influencing factors (temperature, solution concentration, time), three levels are selected respectively, temperature (30 ° C, 50 ° C, 60 ° C), solution concentration (40, 50



What does y = a (X-H) ^ 2 + K mean? What does a / h / K stand for


When a > 0, the opening direction is upward, a > 0



Train K (number) what does K (number) mean?
Why are there two numbers? What is the significance?
For example, when we buy k210 / k211 tickets, should we buy k210 or k211?
Do these two groups of numbers mean coming and going?


The K of k210 stands for 'fast', k210 and k211. One is the direction of the train and the other is the return train. Generally, this is the mark of 'k210 / k211' on the train. But when you buy a ticket, you only choose one. When you buy a ticket, you can say where you are going. Otherwise, you can go to the Internet to find out which is the return train



Do α + K π and α - K π have the same meaning
For example, are tan (a + K π) and Tan (A-K π) k ∈ z the same?


When k ∈ Z, the two expressions have the same meaning



What is the concept of two orthogonal signals in general communication?
Is there any effect or effect after orthogonalization?


The signal orthogonality indicates that the phase difference is plus or minus 90 degrees
The orthogonal signals compensate each other and weaken
Orthogonal signal can be used in many places, such as modulation and demodulation



Collinear theorem of vector


Vector a = n vector b
The coordinate representation is x1y2 = x2y1



The proof process of finding the three formulas of cosine theorem (projective theorem)
Like the title,


Sine theorem:
Cosine theorem:
The formula of sum product mutualization is as follows