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I have some draft high school math textbook pages translated from Russian by a non-native (but quite proficient) English speaker. The definition of an even function is defined as "f(-x) = f(x) for each x∈R". The term "for each" is used in all such instances, as opposed to the usual "for all" (or possibly "for any").
There are two reasons why I'd ask them to change: First, "for any/all" is a cognate for the upside-down "A" symbol (∀). Second, the notion of "each" element of an infinite set seems to imply the use/necessity of the Axiom of Choice (and though ridiculously pedantic my friends think it's a valid objection). Is "for each" an acceptable term for an English text nonetheless? SamuelRiv ( talk) 00:43, 2 April 2013 (UTC)
Hi all,
At work we have a long list of tasks that need to be completed every quarter, each which have a designated "time to complete" and start/end dates. Currently these are allocated by hand to try to spread out the workload so that no person is given more than 7 hours work every day and everything is done on time, there are also some additional contraints such as some people only do one type of work.
I see this as a fairly simple packing algorithm with lots of constraints. Surely someone must have done some study into a similar situation - as it seems to arise in many workplaces, is there an algorithm that has been used by companies to do the same? Or does this situation have too many constraints to warrant an efficient algorithm?
Ideally I would like an algorithm that I can implement in a coding language to allocate work, given the constraints - is there such a thing? 80.254.147.164 ( talk) 09:46, 2 April 2013 (UTC)
Are the following two definitions of sigma additivity equivalent? If so, how?
RandomDSdevel ( talk) 20:13, 2 April 2013 (UTC)
Mathematics desk | ||
---|---|---|
< April 1 | << Mar | April | May >> | Current desk > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
I have some draft high school math textbook pages translated from Russian by a non-native (but quite proficient) English speaker. The definition of an even function is defined as "f(-x) = f(x) for each x∈R". The term "for each" is used in all such instances, as opposed to the usual "for all" (or possibly "for any").
There are two reasons why I'd ask them to change: First, "for any/all" is a cognate for the upside-down "A" symbol (∀). Second, the notion of "each" element of an infinite set seems to imply the use/necessity of the Axiom of Choice (and though ridiculously pedantic my friends think it's a valid objection). Is "for each" an acceptable term for an English text nonetheless? SamuelRiv ( talk) 00:43, 2 April 2013 (UTC)
Hi all,
At work we have a long list of tasks that need to be completed every quarter, each which have a designated "time to complete" and start/end dates. Currently these are allocated by hand to try to spread out the workload so that no person is given more than 7 hours work every day and everything is done on time, there are also some additional contraints such as some people only do one type of work.
I see this as a fairly simple packing algorithm with lots of constraints. Surely someone must have done some study into a similar situation - as it seems to arise in many workplaces, is there an algorithm that has been used by companies to do the same? Or does this situation have too many constraints to warrant an efficient algorithm?
Ideally I would like an algorithm that I can implement in a coding language to allocate work, given the constraints - is there such a thing? 80.254.147.164 ( talk) 09:46, 2 April 2013 (UTC)
Are the following two definitions of sigma additivity equivalent? If so, how?
RandomDSdevel ( talk) 20:13, 2 April 2013 (UTC)