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# 94 Revisions

 Jan 31 revised Put $A\cos(x) + B\sin(x)$ into form : $A\sin(x+ \theta)$ edited body Jan 29 revised Find roots or splitting field of a polynomial given its Galois group left out asquare root! Jan 18 revised Find the angle between planes given three lines give proper credit to a commenter Jan 11 revised Describe the rational points on $y^2 = 11 - 2x^3$ added 1353 characters in body Jan 11 revised Describe the rational points on $y^2 = 11 - 2x^3$ added 1353 characters in body Jan 9 revised Proof that nonconstant polynomial cannot have the same value at all integer points added 1113 characters in body Dec 26 revised Finding an example of a non-rational p-adic number corrected an embarrassing error, thanks to Paul Garrett. Dec 22 revised Showing that a third degree polynomial with roots in terms of roots of fourth degree polynomial has rational coefficients corrected a typo already pointed out by another commenter. Dec 22 revised Showing that a third degree polynomial with roots in terms of roots of fourth degree polynomial has rational coefficients rewrote completely Dec 16 revised What is the general equation of an ellipse that is not aligned with the axis? considerable expansion Dec 3 revised If $a$ and $b$ leave the same remainders when divided by $n$, so do $a^k$ and $b^k$ for all $k \in \mathbb{N}$ fixed title only, setting it into (approximately) proper MathJax Nov 28 revised Determine all of the monic irreducible polynomials in $\mathbb Z_3 [x]$ of degree $4.$ clarification Nov 25 revised Find a spherical triangle with angle sum $5π/3$ Corrected the title with the appropriate mathJax Nov 24 revised Is $\mathbb{Q}(\sqrt{5}, \alpha)$ over $\mathbb{Q}(\alpha)$, where $\alpha$ is the real seventh root of $5$ a the splitting field? supply ¿illuminating? example. Nov 14 revised A theorem on p-adic power series discussed in (I hope) adequate detail issues that came up in the comments. Nov 14 revised How can I calculate the angle between two lines on a sphere? Since Michael Biro deleted his answer, I had to insert a statement of the Law of Cosines. Nov 9 revised Prove that if $\{u_1 ,\dots , u_k, v\}$ is linearly dependent then $v\in\text{span}\{u_1 ,\dots , u_k\}$ Put it all in semiproper TeX Nov 6 revised n-th power residues in p-adic fields deleted 1 character in body Oct 24 revised A plane,sphere and line all in an inequality corected a typo and absence of a minus sign Oct 23 revised A plane,sphere and line all in an inequality Extensive expansion, explaining my own method, as requested by OP.