In order to complete the project I shall have to durn midnight oil which figure of speech
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Prove the following: The sum of two odd functionsis odd, and the sum of two even functions is even. ... Let f and g befunctions on the same domain, and assume that each function takes at least one non-zero value. If f is odd and g iseven, then the sum f+g is neither odd noreven.
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Burning the midnight oil means to stay up all night or very late into the night pursuing an activity such as working or studying. The connotation of burning the midnight oil is of performing labor, not of indulging in frivolous or entertaining pursuits.
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