Live briefing
Everything about Quadratic equation
Polynomial equation of degree two
In mathematics, a quadratic equation is an equation that can be rearranged in standard form as where the variable ā ā represents an unknown number, and a, b, and c represent known numbers, where a ā 0. The numbers a, b, and c are the coefficients of the equation and may be distinguished by calling them the quadratic coefficient, the linear coefficient and the constant coefficient or free term, respectively. Wikipedia ā
š§ Start here: a 6-step reading path
- Read the overview: Quadratic equationA 5-minute orientation
- Skim a recent paper: Exploiting robust quadratic polynomial hyperchaotic map and pixel fusion strategy for efficient image encryptionInfluential work since 2022
- Pick up a classic book: Quadratic forms and their classification by means of invariant-factorsThe most-reprinted book on the subject
- Read the landmark paper: Harmonic Vibrational Frequencies: An Evaluation of HartreeāFock, MĆøllerāPlesset, Quadratic Configuration Interaction, Density Functional Theory, and Semiempirical Scale FactorsCited 6,472 times
- Go sideways: Quadratic formulaA closely related topic
- Go sideways: Quadratic functionA closely related topic
š Definitions
Adjective Square-shaped.
Adjective Of a polynomial, equation or function, second-degree: involving the second power (square) of a variable but no higher powers, as ax2+bx+c.
Noun A quadratic polynomial, function or equation.
šļø The subject at a glance
š Landmark papers (most cited)
Harmonic Vibrational Frequencies: An Evaluation of HartreeāFock, MĆøllerāPlesset, Quadratic Configuration Interaction, Density Functional Theory, and Semiempirical Scale Factors
Quadratic configuration interaction. A general technique for determining electron correlation energies
Semidefinite Relaxation of Quadratic Optimization Problems
A stable and accurate convective modelling procedure based on quadratic upstream interpolation
The explicit linear quadratic regulator for constrained systems
Control Barrier Function Based Quadratic Programs for Safety Critical Systems
Common Method Bias in Regression Models With Linear, Quadratic, and Interaction Effects
An algorithm for quadratic programming
š Influential since 2022
Exploiting robust quadratic polynomial hyperchaotic map and pixel fusion strategy for efficient image encryption
Quadratic Interpolation Optimization (QIO): A new optimization algorithm based on generalized quadratic interpolation and its applications to real-world engineering problems
Model-FreeĪ»-Policy Iteration for Discrete-Time Linear Quadratic Regulation
A New Quadratic Spacing Policy and Adaptive Fault-Tolerant Platooning With Actuator Saturation
Hydromagnetic flow and thermal interpretations of Cross hybrid nanofluid influenced by linear, nonlinear and quadratic thermal radiations for any Prandtl number
š Books worth reading
Quadratic forms and their classification by means of invariant-factorsThomas John I'Anson Bromwich, J. G. Leathem Ā· 1906- šHistory of the theory of numbersLeonard E. Dickson Ā· 1934
Invariants of quadratic differential formsVeblen, Oswald Ā· 1926- šPoemsAbram Joseph Ryan Ā· 1880
- šVorlesungen Ć¼ber ZahlentheorieJulius Sommer Ā· 1911
- šThe arithmetic theory of quadratic formsBurton Wadsworth Jones Ā· 1950
Cours d'arithmetiqueJean-Pierre Serre Ā· 1970
Algebraische gleichungen nebst den resultaten und den methoden zu ihrer aufloĢsungErnst Bardey Ā· 1848
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
š Related topics
- Quadratic formula In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadraticā¦
- Quadratic function In mathematics, a quadratic function of a single variable is a function of the form f(x)=ax2+bx+c with ā aā 0ā , where ā xā is its variable, and ā aā , ā bā ,ā¦
- Completing the square In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ā ax2+bx+cā to the form ā a(xāh)2+kā for someā¦
- Discriminant In mathematics, the discriminant of a polynomial is an expression in its coefficients that provides information about its roots without explicitly calculatingā¦
- Hurwitz polynomial In mathematics, a Hurwitz polynomial (named after German mathematician Adolf Hurwitz) is a polynomial whose roots (zeros) are located in the left half-planeā¦
- Solving quadratic equations with continued fractions In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is a x 2 + b x + c = 0 , {\displaystyle ax^{2}+bx+c=0ā¦
- Solution in radicals A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on additionā¦
- Algebraic equation In mathematics, an algebraic equation or polynomial equation is an equation of the form P=0, where P is a polynomial, usually with rational numbers forā¦