orthogonal Synonyms

No Synonyms and anytonyms found

orthogonal Meaning

Wordnet

orthogonal (s)

not pertinent to the matter under consideration

statistically unrelated

having a set of mutually perpendicular axes; meeting at right angles

Webster

orthogonal (a.)

Right-angled; rectangular; as, an orthogonal intersection of one curve with another.

orthogonal Sentence Examples

  1. The vectors are orthogonal, meaning they are perpendicular to each other.
  2. The orthogonal projection of the vector onto the plane is the vector's component in that plane.
  3. In a Euclidean space of three dimensions, every vector can be expressed as a linear combination of orthogonal unit vectors.
  4. The orthogonal complement of a subspace is the set of all vectors that are orthogonal to every vector in the subspace.
  5. The Gram-Schmidt orthogonalization process transforms a set of linearly dependent vectors into a set of orthogonal vectors.
  6. The orthogonal group is the group of all transformations that preserve the inner product.
  7. Orthogonal matrices are matrices that have orthogonal columns.
  8. The inverse of an orthogonal matrix is its transpose.
  9. The Fourier transform decomposes a function into a series of orthogonal functions.
  10. Orthogonal polynomials are a set of polynomials that are orthogonal to each other over a given interval.

FAQs About the word orthogonal

not pertinent to the matter under consideration, statistically unrelated, having a set of mutually perpendicular axes; meeting at right anglesRight-angled; rect

No synonyms found.

No antonyms found.

The vectors are orthogonal, meaning they are perpendicular to each other.

The orthogonal projection of the vector onto the plane is the vector's component in that plane.

In a Euclidean space of three dimensions, every vector can be expressed as a linear combination of orthogonal unit vectors.

The orthogonal complement of a subspace is the set of all vectors that are orthogonal to every vector in the subspace.