workable for Office 365
- add bullet: control+shift+L
- clear formatting: control+shift+N
If you would like to change the languarate that the autocorrection is based on,
Review tab->Langurage->Set proofing languarage->Change the language from British to American and disable “Detect language automatically” (your computer is British)
You may also need to go to
File tab->Options->Language->Choose Editing language: from British to American English
For any square matrix A, we have
where are the singular values, and are the eigenvalues.
Proof of the right half of the inequality:
See Topics in matrix analysis: page 151, Corollary 3.1.5
Proof of the left half of the inequality:
First, we have
To verify, it is easy to see and .
Second, applying the right half of the inequality gives
if you would like to achieve something like this:
1 2 3 4->1 2 3 4
-1 0->2 4
5 6->1 2
you should use
It’s not that easy, but I finally fixed it.
There are three options provided by Adobe Reader.
- File->properties->Initial view
- Edit->preferences->Page display->Default layout and zoom
- Edit->preferences->Accessibility->Override page display
Many people recommend the second way, but it does not work for me.
The first option works, but only for one single PDF.
The third one works for all PDF for me!!! I found it here