Question

Discriminant of homogeneous polynomials

score 582 · Answer 1 · 2019-07-23 12:07:02

582

Views

Discriminant of homogeneous polynomials

Published on 23 Jul 2019 - 12:07

score 1.2k · Answer 2 · 2019-07-25 23:22:32

1.2k

Views

$\frac{2n+3}{n^2+n+1}$ How many integers are there that make an expression an integer?

Published on 25 Jul 2019 - 23:22

score 560 · Answer 3 · 2019-08-02 05:54:40

560

Views

Given $a$, $b$ are integers with $a > b$ and the two roots $\alpha$, $\beta$ of the equation $3x^2 + 3(a+b)x + 4ab = 0$ satisfy a relation

Published on 02 Aug 2019 - 5:54

score 124 · Answer 4 · 2019-08-02 10:11:06

124

Views

$\frac{x}{y}+\frac{y}{z}+\frac{z}{x}-3\geq k\left ( \frac{x^{2}+y^{2}+z^{2}}{xy+yz+zx}-1 \right )$

Published on 02 Aug 2019 - 10:11

score 80 · Answer 5 · 2019-08-29 14:44:10

80

Views

Discriminant Analysis: the polynomial kernel of Support Vector Machine

Published on 29 Aug 2019 - 14:44

score 1.2k · Answer 6 · 2019-09-02 02:34:27

1.2k

Views

Information about the discriminant given a quadratic extension of fields

Published on 02 Sep 2019 - 2:34

score 402 · Answer 7 · 2019-09-08 14:42:43

402

Views

square root in cyclotomic field and discriminant

Published on 08 Sep 2019 - 14:42

score 41 · Answer 8 · 2019-09-21 18:01:12

Solve: The equation $7x^2-(R+13)x+R^2-R-2=0$ has one real root in range (0,1) and one real root in range (1,2). What's the range of R?

score 119 · Answer 9 · 2019-09-21 21:34:19

119

Views

Solve: $x$, $y$ are real, and $(x-3)^2+(y-3)^2=6$, find the maximum value of $\frac{y+1}{x+2}$

Published on 21 Sep 2019 - 21:34

score 249 · Answer 10 · 2014-06-19 20:02:56

249

Views

Ellipsoidal Covariance Matrix

Published on 19 Jun 2014 - 20:02

score 239 · Answer 11 · 2019-10-03 11:29:26

239

Views

Condition on the discriminant of the second derivative of a biquadratic function to be concave upwards

Published on 03 Oct 2019 - 11:29

score 954 · Answer 12 · 2019-10-12 14:40:01

954

Views

Find the range of values of $k$ for which $kx^2 + 8x + k <6$ for all real values of $k$

Published on 12 Oct 2019 - 14:40

score 194 · Answer 13 · 2019-10-12 15:42:46

194

Views

Find range of values of k for which f(x) <= k for all real values of x

Published on 12 Oct 2019 - 15:42

score 310 · Answer 14 · 2019-10-20 16:13:23

310

Views

Find all the possible integer values of $a$ such that the equation about $x$: $(a+1)x^2-(a^2+1)x+2a^3-6=0$ has all integer roots

Published on 20 Oct 2019 - 16:13

score 168 · Answer 15 · 2019-10-29 05:20:29

168

Views

Finding integral basis of $K=\Bbb Q(\theta)$

Published on 29 Oct 2019 - 5:20

List Question

Discriminant of homogeneous polynomials

$\frac{2n+3}{n^2+n+1}$ How many integers are there that make an expression an integer?

Given $a$, $b$ are integers with $a > b$ and the two roots $\alpha$, $\beta$ of the equation $3x^2 + 3(a+b)x + 4ab = 0$ satisfy a relation

$\frac{x}{y}+\frac{y}{z}+\frac{z}{x}-3\geq k\left ( \frac{x^{2}+y^{2}+z^{2}}{xy+yz+zx}-1 \right )$

Discriminant Analysis: the polynomial kernel of Support Vector Machine

Information about the discriminant given a quadratic extension of fields

square root in cyclotomic field and discriminant

Solve: The equation $7x^2-(R+13)x+R^2-R-2=0$ has one real root in range (0,1) and one real root in range (1,2). What's the range of R?

Solve: $x$, $y$ are real, and $(x-3)^2+(y-3)^2=6$, find the maximum value of $\frac{y+1}{x+2}$

Ellipsoidal Covariance Matrix

Condition on the discriminant of the second derivative of a biquadratic function to be concave upwards

Find the range of values of $k$ for which $kx^2 + 8x + k <6$ for all real values of $k$

Find range of values of k for which f(x) <= k for all real values of x

Find all the possible integer values of $a$ such that the equation about $x$: $(a+1)x^2-(a^2+1)x+2a^3-6=0$ has all integer roots

Finding integral basis of $K=\Bbb Q(\theta)$

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