Deep Theorem

Qualitatively, a deep theorem is a theorem whose proof is long, complicated, difficult, or appears to involve branches ofmathematics which are not obviously related to the theorem itself (Shanks 1993). Shanks (1993) cites the QuadraticReciprocity Theorem as an example of a deep theorem.

References

Shanks, D. ``Is the Quadratic Reciprocity Law a Deep Theorem?'' §2.25 in Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 64-66, 1993.

• Helmholtz Differential Equation Polar Coordinates
• Helmholtz Differential Equation--Prolate Spheroidal Coordinates
• Helmholtz Differential Equation--Spherical Coordinates
• Helmholtz Differential Equation--Spherical Surface
• Helmholtz Differential Equation--Toroidal Coordinates
• Helmholtz's Theorem
• Helson-Szegö Measure
• Hemicylindrical Function
• Hemisphere
• Hemispherical Function
• Hempel's Paradox
• Hendecagon
• Henneberg's Minimal Surface
• Hensel's Lemma
• Henstock-Kurzweil Integral
• Heptacontagon
• Heptadecagon
• Heptagon
• Heptagonal Number
• Heptagonal Pyramidal Number
• Heptahedron
• Heptakaidecagon
• Heptaparallelohedron
• Heptomino
• Herbrand's Theorem