set theory, Mathematics

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Equivalence class and equivalence relation, 1. For a function f : Z → Z, le...

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

Root test- sequences and series, Root Test- Sequences and Series This ...

Root Test- Sequences and Series This is the final test for series convergence that we're going to be searching for at.  Like with the Ratio Test this test will as well tell wh

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Decimal representations of some basic angles: As a last quick topic let's note that it will, on occasion, be useful to remember the decimal representations of some basic angles. S

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love is a parallelogram where prove that love is a rectangle

Components of the vector - calculus, Components of the Vector We should...

Components of the Vector We should indicate that vectors are not restricted to two dimensional (2D) or three dimensional space (3D). Vectors can exist generally n-dimensional s

What was joe's approximate raw act score, Using the same mean and standard ...

Using the same mean and standard deviation from problem 10 (mean m = 20.1 and a standard deviation s = 5.8). Joe was informed that he scored at the 68 th percentile on the ACT, wh

Two circles touch internally, Two circles touch internally at a point P and...

Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:

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