Below you will find example sentences with "affine transformation". The examples show how this phrase is used in natural context and which words often surround it.

Affine Transformation in a sentence

Corpus data

  • Displayed example sentences: 10
  • Discovered as a combination around: transformation
  • Corpus frequency in the collocation scan: 6
  • Phrase length: 2 words
  • Average sentence length: 21.4 words

Words in this phrase

affine transformation

Meanings of words in this phrase

  • affine can mean: Assigning finite values to finite quantities. Rare word
  • transformation can mean: The act of transforming or the state of being transformed. Frequent word

Sentence profile

  • Phrase position: 3 start, 4 middle, 3 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Usage patterns

These patterns show short text windows around the phrase in the example sentences:

a simple affine transformation on the 1× affine transformation in plane 1× affine transformation of the 1× an affine transformation is invertible 1× and the affine transformation reduces to 1× as an affine transformation of a 1× is an affine transformation t of 1× is called affine transformation matrix or 1×

Sentence openings and endings

Common sentence openings:

affine transformation in 1× affine transformation of 1× an affine transformation 1× drawing with bézier 1× if these conditions 1× thus every linear 1×

Common sentence endings:

a central dilation 1× a linear transformation 1× a unit square 1× each vertex similarly 1× if is invertible 1× is not zero 1×

Context words

These words often appear near this phrase in the example sentences:

plane 5× matrix 4× linear 3× projective 2× used 2× invertible 2× may 2× ellipse 2× frame 2× triangles 2× geometry 1× simple 1×

Related phrases

digital transformation

Phrases around this combination

Just before it in the phrase index:

affiliated managers affects people affects everyone affected areas affairs minister aerobic exercise

Just after it in the phrase index:

affordable homes affordable housing affordable units aflac incorporated aforementioned exchanges african american

Other phrases with the same pattern

Same ending:

digital transformation

Corpus analysis

  • The phrase "affine transformation" has 2 words and usually appears in the middle in these examples. The average sentence has 21.4 words and is mostly made up of statements.
  • Around this phrase, patterns and context words such as a simple affine transformation on the, affine transformation in plane, plane, matrix and linear stand out.
  • In the phrase index, this combination connects with digital transformation, linking the page to nearby combinations.

Example types with affine transformation

This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:

Short example sentences

Affine transformation of the plane A central dilation. (8 words)

An affine transformation is invertible if and only if is invertible. (11 words)

Thus, every linear transformation is affine, but not every affine transformation is linear. (13 words)

Longer example sentences

If is a matrix, : is equivalent to the following : The above-mentioned augmented matrix is called affine transformation matrix, or projective transformation matrix (as it can also be used to perform projective transformations ). (33 words)

Drawing with Bézier paths Composite Bézier curves may also be used to draw an ellipse to sufficient accuracy, since any ellipse may be construed as an affine transformation of a circle. (31 words)

If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero. (26 words)

Example sentences (10)

Affine transformation in plane geometry A simple affine transformation on the real plane Effect of applying various 2D affine transformation matrices on a unit square.

Thus, every linear transformation is affine, but not every affine transformation is linear.

If is a matrix, : is equivalent to the following : The above-mentioned augmented matrix is called affine transformation matrix, or projective transformation matrix (as it can also be used to perform projective transformations ).

If there is a fixed point, we can take that as the origin, and the affine transformation reduces to a linear transformation.

Affine transformation of the plane A central dilation.

An affine transformation is invertible if and only if is invertible.

Drawing with Bézier paths Composite Bézier curves may also be used to draw an ellipse to sufficient accuracy, since any ellipse may be construed as an affine transformation of a circle.

If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.

Under this scheme, the frame is tiled with triangles, and the next frame is generated by performing an affine transformation on these triangles.

Whatever the choices of points, there is an affine transformation T of the plane taking A to A′, and each vertex similarly.