Loser66
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0 
Questions Asked

Loser66:
Group Title
Please, help
Let \(\xi = e^{2\pi i/5}\)
a) find the minimal polynomials for \(cos (2\pi/5)~~and~~sin(2\pi/5)\) over \(\mathbb Q\)…
 updated 4 hours ago
 10 replies
 1 Medal
Mathematics

Loser66:
Group Title
Lef f:[0,1] > R
f(x) = 1 if x =1/n , n is integer
f(x) =0 otherwise
…
 updated 5 days ago
 12 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
\(f(x) =\begin{arrays}x~~if ~~x\in \mathbb Q\\1~~if~~x\notin\mathbb Q\end{arrays}\)
a) Let P be a partitin of [0,1]. Find \(lim_{P\righ…
 updated 6 days ago
 6 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Someone explains me, please. I don't get it
 updated 6 days ago
 7 replies
 3 Medals
Mathematics

Loser66:
Group Title
Prove: \(\dfrac{(x+y)^2}{4}(xy) =\dfrac{x^3y^3}{3}\)
Please, help
 updated 6 days ago
 5 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Riemann theorem:
Let f(x) =x^2, and let P denote a partition of an interval [a,b]
i) Let L(f,P), M(f,P)and R(f,P) denote respectively the…
 updated 7 days ago
 5 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Let \(f:[0,1] \rightarrow \mathbb R\)
f(x) = 1if x =(1/n) n is an integer.
f(x) =0 otherwise.
…
 updated 7 days ago
 8 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Use Implicit function theorem to show F(x,y) = y^2+2xy +x1 =0 can be solved for y in terms of x near all point (x0,y0) with \(y_0\neq x_0\…
 updated 8 days ago
 11 replies
 1 Medal
Mathematics

Loser66:
Group Title
@dan815
 updated 8 days ago
 16 replies
 1 Medal
Mathematics

Loser66:
Group Title
Let \(f_1, f_2,f_3\) be continuously differentiable functions from \(\mathbb R^4\) to \(\mathbb R\). Give suffice conditions so that the equ…
 updated 8 days ago
 22 replies
 1 Medal
Mathematics

Loser66:
Group Title
Let \(f:\mathbb R \rightarrow \mathbb R\) be \(C^1\) and \(u=f(x) \), \(v= y+xf(x)\)
If \(f'(x_0) \neq 0\), show that this transformation…
 updated 8 days ago
 12 replies
 2 Medals
Mathematics

Loser66:
Group Title
calculus 5, help please
Check directly near which points, we can solve the equation F(x,y) = y^2+y+3x+1 =0
 updated 10 days ago
 60 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Find the inverse of y = x^3 +2x^2
Please, help
 updated 10 days ago
 6 replies
 1 Medal
Mathematics

Loser66:
Group Title
Show that if f(x) in Z[x] of degree n has no rational root, but for some prime p, its reduction modulo p has irreducible factors of degree 1…
 updated 11 days ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
@pitamar
 updated 12 days ago
 3 replies
 1 Medal
Mathematics

Loser66:
Group Title
Show that if a polynomial f(x) in Z[x] of degree n has no rational root, but for some prime p, its reduction mod p has irreducible factors o…
 updated 14 days ago
 9 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Show that for each natural number n
(x1)(x2)(x3)......(xn)1 is irreducible over the rationals
Please, help
 updated 14 days ago
 13 replies
 1 Medal
Mathematics

Loser66:
Group Title
How to show : if gcd (a1,a2,a3) =1 and gcd(b1,b2,b3) =1, then gcd(a1b1,a2b2,a3b3)=1?
Please, help
 updated 14 days ago
 7 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Question on comment
Please, help
 updated 14 days ago
 19 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Let R be a UFD. For any irreducible p in R, consider the quotient map \(f_p:R\rightarrow R/pR\) and extend this to a homomorphism \(f_p: R[x…
 updated 14 days ago
 10 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
I have to use Gauss's lemma to show that
if \(P(x) = a_nx^n+....+a_1x+a_0\) in \(\mathbb Z[x]\) has a rational root r/s, where gcd (r,s) =…
 updated 15 days ago
 9 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Use the chain rule to find derivative of H(x,y,z) = g(f(x,y, h(x), g(x,y)) where f(x,y,z) = x^2+yz
g(x,y) =y^3+xy
h(x) = sin x
…
 updated 17 days ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Someone helps me please. I don't know how to do what my prof asked me to do. He said: "You need an argument explaining how to put together […
 updated 16 days ago
 12 replies
 1 Medal
Mathematics

Loser66:
Group Title
Let aR is a nonzero ideal of a PID R. Prove that R/aR is a ring with finitely many ideals
Please, help
 updated 18 days ago
 2 replies
 1 Medal
Mathematics

Loser66:
Group Title
Someone explains me, please
\(f(x) =x^{p1}+x^{p2}+.....+x^2+x+1\)
\(f(x+1) = \sum_{s=0}^{p1}\left(\begin{matrix}p\\s+1\end{matrix}\right)…
 updated 18 days ago
 7 replies
 2 Medals
Mathematics

Loser66:
Group Title
Let aR is a nonzero ideal of a PID R. Prove that R/aR is a ring with finitely many ideals
 updated 20 days ago
 4 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Consider the ring of polynomials in 2 variables over any field R = K[x,y]
a) show that the elements x and y are relatively prime
b) Show t…
 updated 21 days ago
 140 replies
 1 Medal
Mathematics

Loser66:
Group Title
if a is a prime, a not divide b, how to prove gcd(a,b) =1?
Please, help
 updated 21 days ago
 9 replies
 2 Medals
Mathematics

Loser66:
Group Title
@kirbykirby I need help understanding modern algebra concept. Please
 updated 27 days ago
 6 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Need answers, please, short answers. You can skip any of them if you don't want to answer.
Please, help
 updated 27 days ago
 10 replies
 No Medals Yet
Mathematics

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