Optimization, Data Science, Math

Optimization Problem:

Advances in Missile Guidance, Control, and Estimation

Preview:
https://play.google.com/books/reader?id=A2PMBQAAQBAJ&hl=en_GB&pg=GBS.PR14

https://books.google.ca/books?id=A2PMBQAAQBAJ&pg=PA595&lpg=PA595&dq=force+moment+interaction+with+thrusters&source=bl&ots=BruxnXwLzp&sig=ACfU3U39G-l3xDzbotOBJHcMV5uR7DkciQ&hl=en&sa=X&ved=2ahUKEwjZpsT44afnAhXRJt8KHfPYCroQ6AEwCnoECAoQAQ#v=onepage&q=force%20moment%20interaction%20with%20thrusters&f=false

"What is the difference between affine and linear?
4 Answers. A linear function fixes the origin, whereas an affine function need not do so. An affine function is the composition of a linear function with a translation, so while the linear part fixes the origin, the translation can map it somewhere else.Sep 15, 2014"

"If you choose bases for vector spaces 𝑉 and 𝑊 of dimensions 𝑚 and 𝑛 respectively, and consider functions 𝑓:𝑉→𝑊, then 𝑓 is linear if 𝑓(𝑣)=𝐴𝑣 for some 𝑛×𝑚 matrix 𝐴 and 𝑓 is affine if 𝑓(𝑣)=𝐴𝑣+𝑏 for some matrix 𝐴 and vector 𝑏, where coordinate representations are used with respect to the bases chosen."

https://math.stackexchange.com/questions/275310/what-is-the-difference-between-linear-and-affine-function/275327



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Sayed Ahmed

BSc. Eng. in Comp. Sc. & Eng. (BUET)
MSc. in Comp. Sc. (U of Manitoba, Canada)
MSc. in Data Science and Analytics (Ryerson University, Canada)
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