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For these, students may rightfully ask for a justification, or a proof, for why the result is true.
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I chose not to be confirmed into the Catholic Church when I was 17, citing Kierkegaard's Fear and Trembling as proof for why, if I didn't come to faith on my own, there was nothing my mother or the Church could do about it.
I was seeking a proof for my origin; My origin became my proof.
Gödel never submitted a proof for the Speed-up Theorem.
But is it a proof for plagiarism?
Proof: It is enough to have a proof for a single column appended from the right.
They give a proof for ConFL to be NP-hard.
It's also a key proof point for why it made sense to tie up Tesla and SolarCity via their merger last year.
(Another proof point for why it's so important for companies like Google, Facebook and others to build out their businesses in these markets).
By provoking major labels into action through sampling their works with credit, but not permission, Plunderphonic became a proof-of-concept and a metaphor for why sampling and quotation in art is so important: his music had to be stolen, copied and redistributed in order to survive.
It is possible to get a feel for why the number one is so common as a leading digit simply by writing down numbers and observing the patterns but, as Bellos notes, it is certainly not a rigorous proof.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com