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Is $ \frac{x+y}{x^3 y^3 - x^3 y - x y^3 + 2 xy + 1} $ a formal group law?

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#rational-functions #associativity #symmetric-functions #formal-groups
30
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If $E$ is a vector space, is there an established terminology for functions $f:E\times E\to\mathbb R$ whose values $f(x,y)$ only depend on $y-x$?

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#terminology #symmetric-functions
40
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sign of a Symmetric bilinear form

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#real-analysis #inequality #partial-derivative #symmetric-functions
133
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skew Schur identity

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#combinatorics #symmetric-functions #algebraic-combinatorics
127
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symmetry of partial differential equations (Heat equation)

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#partial-differential-equations #heat-equation #symmetry #symmetric-functions
93
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non linear system of equations leading to quartic

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#systems-of-equations #radicals #symmetric-functions
185
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Why $\prod_i (1+x_i)$ is not considered a symmetric function, $\prod_i (1+x_i) \notin \Lambda$

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#abstract-algebra #symmetric-polynomials #symmetric-functions
138
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inner product in the algebra of shifted symmetric function, $\Lambda^*$

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#symmetric-polynomials #symmetric-functions
68
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Solve the following system of equations - (6).

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#systems-of-equations #exponentiation #symmetric-functions
96
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Solve a system of non-linear equations

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#systems-of-equations #rational-functions #symmetric-functions
694
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Find all ordered pairs $(x,y)$ that satisfy both $\frac{3x-4y}{xy} = -8$ and $\frac{2x+7y}{xy} = 43$

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#systems-of-equations #rational-functions #symmetric-functions
110
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Symmetric Functions on Infinite dimensions

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#functions #infinite-product #symmetric-functions
699
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Decomposing a symmetric function into elementary symmetric polynomials.

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#permutations #symmetric-polynomials #elementary-functions #symmetric-functions #permutation-cycles
124
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Given numbers $a,b,c\geqq0$ and $-\frac{2}{11}\leqq k\leqq0$. Prove that $(k+1)^{6}(a+b+c)^{2}(\!ab+bc+ca\!)^{2}-81\prod\limits_{sym}(ka+b)\geqq0$ .

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#inequality #constants #symmetric-functions #discriminant #uvw
96
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Continuously Differentiable Functions of Dodecahedron Symmetry

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#polyhedra #golden-ratio #symmetric-functions

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