Hasse Principle
A collection of equations satisfies the Hasse principle if, whenever one of the equations has solutions in 
andall the 
, then the equations have solutions in the Rationals 
. Examples include the set of equations
with
, 
, and 
Integers, and the set of equations
for
rational. The trivial solution 
is usually not taken into account when deciding if a collection ofhomogeneous equations satisfies the Hasse principle. The Hasse principle is sometimes called theLocal-Global Principle.See also Local Field- Sierpinski Number of the Second Kind
- Sierpinski's Composite Number Theorem
- Sierpinski Sieve
- Sierpinski Sponge
- Sierpinski's Prime Sequence Theorem
- Sierpinski's Theorem
- Sierpinski Tetrahedron
- Sierpinski Triangle
- Sieve
- Sieve of Eratosthenes
- Sievert Integral
- Sievert's Surface
- Sifting Property
- Sigma Algebra
- Sigma Function
- Sigmoid Curve
- Sigmoid Function
- Sign
- Signalizer Functor Theorem
- Signature (Knot)
- Signature (Quadratic Form)
- Signature (Recurrence Relation)
- Signature Sequence
- Signed Deviation
- Significance