Artificial Intelligence/orthogonality

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Expert: - 4/11/2009


Question
Hi
i want to know about the orthogonality,could you plz explain it to me with an example?
i search through internet but unfortunately it doesn't help,and i still feel confusing about the function of orthogonality

Thanx
Bita

Answer
Hi Bita

In simple terms, orthogonality in vectors means that the two vectors form a 90 degree angle between them, thus they are...orthogonal or normal.
It can be shown that the inner (dot) product of two vectors is zero if and only if they are orthogonal to each other.
Orthogonality can be generalized to other mathematical objects such as matrices, tensors, functions etc but the underlying condition remains the same, namely their inner product is zero.

See : http://en.wikipedia.org/wiki/Orthogonal

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G.

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George Moustris

Expertise

I can answer most of the questions about the workings of a Fuzzy Logic machine, from the basics up to a certain advanced point.Questions regarding applications of Fuzzy systems intregrating with other technologies such as Neural Nets or Genetic Algorithms are propably out of my reach although,with some research,i could try to answer them(i have working knowledge of Neural Nets an Genetic Algorithms but i`m far from being consider an expert to these areas).

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I have experience in Fuzzy Logic gained in projects i have been part of.The last project was a robotic vehicle that used a Fuzzy Logic path tracker which i designed.

Education/Credentials
Aristotle University of Thessaloniki,M.Eng. Electrical and Computer Engineering, National Technical University of Athens,Phd, Computational Intelligence in Robotics

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