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Project Mathematics! (stylized as Project MATHEMATICS!), is a series of educational video modules and accompanying workbooks for teachers, developed at the California Institute of Technology to help teach basic principles of mathematics to high school students. [1] In 2017, the entire series of videos was made available on YouTube.
Less of the "full breadth" of most traditional engineering undergraduate curricula will be captured with this approach - such as the broad math and science foundation spanning chemistry, physics, mechanics (i.e. statics and dynamics), materials science, computer science, electronics/circuits, engineering design, and the standard range of ...
[1] [2] It is regarded as one of the most difficult and intensive mathematics courses in the world. Roughly one third of the students take the course as a continuation at Cambridge after finishing the Parts IA, IB, and II of the Mathematical Tripos resulting in an integrated Master's (M.Math), whilst the remaining two thirds are external ...
In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular the j function. The initial numerical observation was made by John McKay in 1978, and the phrase was coined by John Conway and Simon P. Norton in 1979. [1] [2] [3]
If is an integer, the answer is , but the precise – or even asymptotic – amount of unfilled space for an arbitrary non-integer is an open question. [ 1 ] 5 unit squares in a square of side length 2 + 1 / 2 ≈ 2.707 {\displaystyle 2+1/{\sqrt {2}}\approx 2.707}
In the context of group theory, the socle of a group G, denoted soc(G), is the subgroup generated by the minimal normal subgroups of G.It can happen that a group has no minimal non-trivial normal subgroup (that is, every non-trivial normal subgroup properly contains another such subgroup) and in that case the socle is defined to be the subgroup generated by the identity.
In mathematics, iteration may refer to the process of iterating a function, i.e. applying a function repeatedly, using the output from one iteration as the input to the next. Iteration of apparently simple functions can produce complex behaviors and difficult problems – for examples, see the Collatz conjecture and juggler sequences .