<blockquote>Integer factorization for large integers appears to be a difficult problem. There is no known method to carry it out quickly. Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA.
A matrix can also be factorized into a product of matrices of special types, for an application in which that form is convenient. One major example of this uses an orthogonal or unitary matrix, and a triangular matrix. There are different types: QR decomposition, LQ, QL, RQ, RZ.
Another example is the factorization of a function as the composition of other functions having certain properties; for example, every function can be viewed as the composition of a surjective function with an injective function. This situation is generalized by factorization systems...</blockquote>
Wei stared at the page, his eyes glazed over and uncomprehending. Why was math so hard? Why couldn't they just say what they wanted to say in plain Chinese? With a heavy sigh, he pushed away from the table and stretched his arms high above his head, feeling his shoulders pop and his back crack sweetly. It felt so nice. He was so close to just saying screw it and enjoying the rest of the afternoon in the woods, but...
But...
He'd gotten a package from home with his mom's homemade treats, a bag of dried crickets (which he was eating right now as he studied by the handful), and a letter saying that she was expecting him to take his studies very seriously and that he better not be failing any of his classes, no matter if they're classical classes or magical ones, and he knew that if she caught wind of him blowing off his classes then she would ship herself here and tan his hide.
The monkey boy whined and put another handful of crickets in his mouth, tapping the pen to the page.
<font color=ffcd05>"When am I even going to need factorization...."</font> he muttered to himself.
A matrix can also be factorized into a product of matrices of special types, for an application in which that form is convenient. One major example of this uses an orthogonal or unitary matrix, and a triangular matrix. There are different types: QR decomposition, LQ, QL, RQ, RZ.
Another example is the factorization of a function as the composition of other functions having certain properties; for example, every function can be viewed as the composition of a surjective function with an injective function. This situation is generalized by factorization systems...</blockquote>
Wei stared at the page, his eyes glazed over and uncomprehending. Why was math so hard? Why couldn't they just say what they wanted to say in plain Chinese? With a heavy sigh, he pushed away from the table and stretched his arms high above his head, feeling his shoulders pop and his back crack sweetly. It felt so nice. He was so close to just saying screw it and enjoying the rest of the afternoon in the woods, but...
But...
He'd gotten a package from home with his mom's homemade treats, a bag of dried crickets (which he was eating right now as he studied by the handful), and a letter saying that she was expecting him to take his studies very seriously and that he better not be failing any of his classes, no matter if they're classical classes or magical ones, and he knew that if she caught wind of him blowing off his classes then she would ship herself here and tan his hide.
The monkey boy whined and put another handful of crickets in his mouth, tapping the pen to the page.
<font color=ffcd05>"When am I even going to need factorization...."</font> he muttered to himself.