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In the second approach, one considers an appropriately defined 'space of persistence diagrams,' defines a distance function on it, studies geometric properties of this space, and does standard statistical calculations (means, medians, statistical tests, and so on).
That same smartphone has an alarm function on it.
Furthermore, hashing takes a key and performs a function on it that produces an address in a lookup table.
He once said that by the time the Pogues ended in 1991 he was taking 50 tabs of acid a day - 'You get used to it, you can function on it.' But it has obviously become a touchy subject since November 1999, when Sinead O'Connor shopped him to the police for taking heroin.
It was found that specific surface area of bubbles, aeration intensity, and diffuser submerged depth had positive effect on the oxygen transfer coefficient (kLa), while some mixed liquor characteristics such as the mixed liquor suspended solids (MLSS) concentration and apparent viscosity exerted negative function on it.
But since the latter is connected, no continuous function on it can take only the two values 0 and 1.
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I was never a nodder--I could function on it--the problem was functioning without it.
KSI verifies the integrity of data by running hash functions on it and comparing the results against original metadata stored on the blockchain.
Mobile firms including Apple and Samsung are integrating fingerprint-readers which allow users to access their phone and certain functions on it just by swiping their finger on the screen.
Besides the rejection of the principle of the excluded middle, intuitionism strongly deviates from classical mathematics in the conception of the continuum, which in the former setting has the property that all total functions on it are continuous.
Alcoholism has serious adverse effects on brain function; on average it takes one year of abstinence to recover from the cognitive deficits incurred by chronic alcohol abuse.
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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