One-to-One

Let be a Function defined on a Set and taking values in a set . Then is said to be one-to-one(a.k.a. an Injection or Embedding) if, whenever , it must be the case that . In otherwords, is one-to-one if it Maps distinct objects to distinct objects.

If the function is a linear Operator which assigns a unique Map to each value in a Vector Space, it iscalled one-to-one. Specifically, given a Vector Space with , then aTransformation defined on is one-to-one if for all .

• Ellipsoidal Harmonic of the First Kind
• Ellipsoidal Harmonic of the Second Kind
• Ellipsoid Geodesic
• Elliptic Alpha Function
• Elliptical Projection
• Elliptic Cone
• Elliptic Cone Point
• Elliptic Curve
• Elliptic Curve Factorization Method
• Elliptic Curve Group Law
• Elliptic Curve Primality Proving
• Elliptic Cylinder
• Elliptic Cylindrical Coordinates
• Elliptic Delta Function
• Elliptic Exponential Function
• Elliptic Fixed Point (Differential Equations)
• Elliptic Fixed Point (Map)
• Elliptic Function
• Elliptic Functional
• Elliptic Geometry
• Elliptic Group Modulo p
• Elliptic Helicoid
• Elliptic Hyperboloid
• Elliptic Integral
• Elliptic Integral of the First Kind