homogeneous polynomial meaning in Hindi

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Let in be a homogeneous polynomial of degree " d ".
Homogeneous polynomials are ubiquitous in mathematics and physics.
For more details, see homogeneous polynomial.
The zero polynomial is homogeneous, and, as homogeneous polynomial, its degree is undefined.
This corresponds to a symmetric homogeneous polynomial
It is then defined by a single equation, a homogeneous polynomial in the homogeneous coordinates.
Additionally, one can look at curves in the projective plane, given by homogeneous polynomials.
Note that quadratic forms and cubic forms are precisely homogeneous polynomials of degrees 2 and 3.
For her thesis, Noether extended Gordan's computational proof to homogeneous polynomials in three variables.
Therefore if " S " is any set of homogeneous polynomials we may reasonably speak of

noun.