Legendre example sentences

"Legendre" Example Sentences

1. Legendre's formula for determining prime numbers is still widely used today.
2. The Legendre polynomial is a powerful mathematical tool used in many fields.
3. Pierre-Simon Laplace and Adrien-Marie Legendre were close colleagues in the field of mathematics.
4. Legendre's constant, denoted by γ, is a transcendental number that remains a subject of much study today.
5. Legendre functions are known for their ability to resemble solutions to many physical problems.
6. Legendre's conjecture was eventually proven by Euler, but only after several years of intense investigation.
7. The Legendre transformation is a deep mathematical concept with many practical applications.
8. The Legendre differential equation is used to solve a wide range of problems in physics and engineering.
9. Legendre's method of least squares is a statistical technique used to estimate unknown parameters in a regression model.
10. Legendre multipliers are used to calculate the optimal values of certain constrained optimization problems.
11. Legendre's elliptic functions play a key role in the study of elliptic curves and modular forms.
12. Legendre's theorem on quadratic reciprocity is one of the most important results in number theory.
13. Legendre's circle problem concerns the distribution of points in a circle and has many applications in geometry and topology.
14. Legendre's equation arises in the study of the radial part of Laplace's equation in spherical coordinates.
15. Legendre polynomials are often used in the solution of the Schrodinger equation in quantum mechanics.
16. Legendre's formula for the number of prime factors of an integer has led to many interesting results in analysis and number theory.
17. Legendre's generating function for Legendre polynomials can be used to derive many interesting properties of these functions.
18. Legendre series are a type of Fourier series used in the representation of certain functions.
19. The Legendre symbol is used extensively in the study of quadratic residues and nonresidues.
20. Legendre's exact test is a statistical hypothesis test used to determine if there is a significant association between two categorical variables.
21. Legendre's integral identity relates the dot product of two vector fields to the volume integral of their cross product.
22. Legendre's method of characteristics is used to solve certain types of partial differential equations.
23. The Legendre wavelet is a type of wavelet used in image processing and signal analysis.
24. Legendre's trinomial is a polynomial with three terms that arises in various contexts in mathematics.
25. Legendre's constant term theorem is a result in algebraic geometry that relates the coefficients of a polynomial to its constant term.
26. Legendre's reduction formula is a recurrence relation used to simplify integrals involving Legendre polynomials.
27. Legendre's transformation formula is used to convert a differential equation in one independent variable to one in another independent variable.
28. The Legendre-Fenchel transform is a type of Laplace transform used in convex analysis.
29. Legendre's relation between the coefficients of a power series and the derivatives of the function it represents is of central importance in calculus.
30. Legendre's reciprocity theorem is a fundamental result in the theory of algebraic number fields.

Common Phrases

1. Legendre polynomial;
2. Legendre transformation;
3. Legendre's constant;
4. Legendre equation;
5. Legendre symbol;
6. Legendre transformation formula;
7. Legendre coefficients;
8. Legendre transformation principle;
9. Legendre duality;
10. Legendre-Jacobi identity.