numpy dot vs inner

dot and inner returns the same result for 1D arrays.
However, for 2D arrays (matrices), dot gives the matrix product, whereas inner gives the sum-product over the last axis.

References
inner vs. dot
inner document
dot document

what is sum product?

A = [[x1, x2], [x3, x4]]
B = [[y1, y2], [y3, y4]]

sum product of A and B is given by numpy.inner(A,B) as follows
A's row i is element-wise multiplied by B's row j and the values are added to get the (i,j) element

[[x1*y1+x2*y2, x1*y3+x2*y4], [x3*y1+x4*y2, x3*y3+x4*y4]]

Apple airplay no sound issue

Sometimes when you mirror your display on airplay you cannot hear. Do the following to solve this issue.

sudo killall coreaudiod

tmux

• Commands:
• starting a new named session
• $ tmux new -s session_name
• you can use a .tmux.conf file in your home directory to tmux as follows
• setw -g mode-mouse on
• # scrollback buffer size increase
• set -g history-limit 500000
• note that with mode-mouse on you cannot copy paste text (you can scroll). You need to do the following Ctrl+B: (note the colon) and then enter the following command
  set -g mode-mouse off
• when you have finished copy/pasting text you can turn mode-mouse to on so that you can scroll using the mouse wheel