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orthogonality    
正交性; 直交性; 正交; 相互垂直

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  • orthogonality - What does it mean when two functions are orthogonal . . .
    Orthogonality translates into the dot product equaling zero Now, the orthogonality you see when studying Fourier series is a different type again There is a very common, widely-used concept of a vector space, which is an abstract set with some operations on it, that satisfies something like $9$ axioms, which ensures it works a lot like
  • language agnostic - What is Orthogonality? - Stack Overflow
    Orthogonality in Programming: Orthogonality is an important concept, addressing how a relatively small number of components can be combined in a relatively small number of ways to get the desired results It is associated with simplicity; the more orthogonal the design, the fewer exceptions
  • linear algebra - What is the difference between orthogonal and . . .
    You can think of orthogonality as vectors being perpendicular in a general vector space And for orthonormality what we ask is that the vectors should be of length one So vectors being orthogonal puts a restriction on the angle between the vectors whereas vectors being orthonormal puts restriction on both the angle between them as well as the
  • linear algebra - What does orthogonality mean in function space . . .
    "Orthogonality" is a measure of how much two vectors have in common In an orthogonal basis, the vectors have nothing in common If this is the case, I can get a given vector's components in this basis easily because the inner product with one basis vector makes all other basis vectors in the linear combination go to zero
  • What does orthogonal random variables mean?
    As far as I know orthogonality is a linear algebraic concept, where for a 2D or 3D case if the vectors are perpendicular we say they are orthogonal Even it is OK for higher dimensions But when it comes to random variables I cannot figure out orthogonality
  • theory - Is Java orthogonal? - Stack Overflow
    Orthogonality is not really a language feature as such, even though some languages have features that promote orthogonality (such as annotations, built-in AOP, ) Regarding orthogonality in Java: I have written a little case study about this using log4j as example: "Orthogonality By Example" - you might find this useful
  • Why does the definition of orthogonality use a weighting function?
    The definition of orthogonality makes sense only if you specify to which scalar product it refers In the definiton you quoted the scalar product is: $$\langle f,g \rangle = \int_a^b f(x)g(x)w(x)dx $$ So the definition of orthogonality is: $$0 = \langle f,g \rangle = \int_a^b f(x)g(x)w(x)dx$$
  • What does it mean for two matrices to be orthogonal?
    So, the problem is that I can understand the meaning of orthogonality between two vectors, they are just "lines" perpendicular to each other, but I can not physically perceive what orthogonality means for matrices (like a $3\times 3$ one) I mean if vectors are like lines in space, those being orthogonal is an easy concept to visualize





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