Scalar-Valued Vector

A Scalar-Valued Vector is a vector whose vector elements are real numbers.

• AKA: Real Number Vector.
• Context:
  • It can (typically) be from a from a Continuous Vector Space.
  • It can range from being a Dense Continuous-Valued Vector to being a Sparse Continuous-Valued Vector.
  • It can be an input to a Continuous Vector-Input Function.
  • It can be an output to a Continuous Vector-Output Function.
• Example(s):
  • a Continuous Word Vector, from a continuous word vector space.
  • a Real-Valued Feature Vector.
  • …
• Counter-Example(s):
  • a Discrete Vector, such as an integer vector or a bit vector.
  • a Continuous Tuple (not associated with a vector space).
  • a Scalar.
  • a Continuous-Valued Matrix.
• See: Real Number Line, 2-D Real Matrix.

---

---

References

2014

• http://mathworld.wolfram.com/RealVector.html
  • QUOTE: A vector whose elements are real numbers.

2010

• http://graphics.stanford.edu/courses/cs368-00-spring/TA/manuals/LEDA/vector.html
  • QUOTE: An instance of data type vector is a vector of variables of type double. ...

    ... Vectors are implemented by arrays of real numbers.

---