Quotable Mathematics

"Elementary functions, such as trigonometric functions and rational functions, have their roots in Euclidean geometry. They share the f...

"Among the differences that will always be with you are the small overshoots and oscillations just before and after the vertical jumps ...

"If statistical graphics, although born just yesterday, extends its reach every day, it is because it replaces long tables of numbers a...

"For each of the elements into which we have divided the amount of fluid matter, its  shape will be altered during the time dt, and als...

"Arguments for the Riemann hypothesis often include its widespread  ramifications and appeals to mathematical beauty; however, we also ...

"A correlation between two variables means they vary together. A positive correlation means that high values of one variable are associ...

"Exact truth of a null hypothesis is very unlikely except in a genuine uniformity trial." ( David R Cox, "Some problems conne...

"A statistical analysis, properly conducted, is a delicate dissection of uncertainties, a surgery of suppositions."  (Michael J Mo...

"A mathematical model is neither an hypothesis nor a theory. Unlike the scientific hypothesis, a model is not verifiable directly by ex...

"Free will is an idealization of human beings that makes the ethics game playable. Euclidean geometry requires idealizations like infin...

"In modern mathematics there is a strong tendency towards formulations of concepts  that minimise the number and significance of arbitr...

"Although the Mathematicks according to its Etymology, signifies only Discipline, yet it merits the Name of Science better than any oth...

"All this, though, is to miss the point of gambling, which is to accept the imbalance of chance in general yet deny it for the here and...

"Longitudinal data sets are comprised of repeated observations of an outcome and a set of covariates for each of many subjects. One obj...

"In the path of our happiness shall we find the learning for which we have  chosen this lifetime."   (Richard Bach, "Illusion...

"Far out in the uncharted backwaters of the unfashionable end of the Western  spiral arm of the Galaxy lies a small unregarded yellow s...

"Insanity, gentlemen, is not a catchall for every human action that involves  motives we don’t understand. Insanity has its own structu...