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As regards mathematics, for example, it might be said that mathematicians could be uncritical about the first principles of their science in the following ways: (1) They might take as self-evidently true or universally applicable some axiom or primary premise that turned out later not to possess this property.
Several different specialists, such as physician, medical researchers, technician, chemists and mathematicians could be involved in a single study.
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Rockmore said he hoped to talk to literary colleagues to investigate if the mathematicians' formulae could be applied to literary criticism.
Airport manager Rick Baird, on the other hand, was apoplectic: "It doesn't take a mathematician to understand we could be overwhelmed," he said.
But logicians and mathematicians noticed that some ideas could be made more intuitive if they were linked to possible aims.
In her book, she writes of her experiences in Dublin during a stint at Baltimore Technologies, where she began to work seriously on what became her prize-winning Cayley-Purser algorithm (named after a mathematician and a cryptographer), which could be used for faster encryption of information on the Internet.
Actually, Gödel also made a somewhat stronger assumption, which, as the American mathematician J. Barkley Rosser later showed, could be replaced by assuming consistency.
A mouse model, for example, is by no means a simplified description of a human disease as could be misunderstood by a mathematician.
This could be of interest for applied mathematicians, who could be more involved in the specific PDEs that have this gradient flow form, without a desire for full generality; for the same audience, a section has been added about numerical methods inspired from the so-called JKO (Jordan Kinderlehrerer Otto) scheme, and one on a list of equations which fall into these framework.
In 1968, English mathematician J.E. Littlewood (of Hardy & Littlewood fame) asked if seven infinite cigarettes could be arranged so that each touches all the others.
There could be some hidden meanings in there, especially considering Carroll was a mathematician during his lifetime, whether he was aware of such meanings subconsciously or not".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com