Fundamental theorem of algebra
GPTKB entity
Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
polynomials
|
| gptkbp:atccode |
gptkb:Mathematics
has historical significance. is a key result in the field of mathematics. is a cornerstone of algebra. is crucial for solving polynomial equations. is essential for advanced mathematics. is essential for understanding algebra. is foundational for many mathematical concepts. is often referenced in mathematical discussions. is widely accepted in mathematics. provides insight into polynomial equations. |
| gptkbp:developed_by |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:element |
mathematical education
|
| gptkbp:has_applications_in |
engineering
|
| gptkbp:has_connection_to |
gptkb:Mathematics
theoretical mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Fundamental theorem of algebra
|
| gptkbp:is_aform_of |
further mathematical theories
|
| gptkbp:is_akey_theorem_in |
complex analysis
|
| gptkbp:is_applied_in |
numerical analysis
|
| gptkbp:is_aresource_for |
the study of polynomial functions
|
| gptkbp:is_connected_to |
roots of unity
|
| gptkbp:is_debated_in |
mathematical induction
|
| gptkbp:is_described_as |
textbooks on algebra
|
| gptkbp:is_discussed_in |
gptkb:Mathematician
mathematical literature |
| gptkbp:is_essential_for |
mathematical proofs
|
| gptkbp:is_explored_in |
research papers
|
| gptkbp:is_expressed_in |
terms of complex numbers
the degree of the polynomial equals the number of roots. |
| gptkbp:is_fundamental_to |
gptkb:Mathematics
the study of polynomial equations |
| gptkbp:is_related_to |
gptkb:quantum_field_theory
Galois theory linear algebra complex analysis theory of equations |
| gptkbp:is_taught_in |
university mathematics courses
|
| gptkbp:is_used_in |
gptkb:Mathematics
signal processing computer algebra systems |
| gptkbp:is_used_to |
determine the number of roots of a polynomial
analyze polynomial behavior |
| gptkbp:state |
Every non-constant polynomial equation has at least one complex root.
|
| gptkbp:was_akey_figure_in |
gptkb:Mathematics
algebraic topology |
| gptkbp:bfsParent |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:bfsLayer |
4
|