Affines example sentences

"Affines" Example Sentences

1. The affines of a square are its four sides.
2. The affines of a rectangle are its two pairs of parallel sides.
3. The quadratic form has real affines.
4. Linear algebra studies systems of linear equations and their affines.
5. The affines of a triangle are its three sides.
6. The set of all affines of an ellipse is called its envelope.
7. The affines of a regular pentagon are its five sides.
8. The affines of a circle are its chords.
9. In projective geometry, an affine transformation is a composition of linear transformations.
10. The affines of a regular hexagon are its six sides.
11. The study of affines of algebraic varieties is an important subject in algebraic geometry.
12. The affines of a parallelogram are its four sides.
13. The affines of a regular polygon depend only on the number of sides.
14. The affines of a cone are its chords.
15. The set of all affines through a point in space is called a pencil of affines.
16. The affines of a regular octagon are its eight sides.
17. The affines of a line are its points.
18. The affines of a regular dodecagon are its twelve sides.
19. A mapping between two affine spaces that preserves parallelism is called an affine transformation.
20. The affines of a non-convex polygon can intersect each other.
21. A linear map between two affine spaces that preserves the origin is called an affine map.
22. The affines of a trapezoid are its four sides and two diagonals.
23. The affines of a regular heptagon are its seven sides.
24. The affines of a regular icosagon are its twenty sides.
25. The intersection of two affines can be a point, a line, or empty.
26. An affine combination of vectors is a linear combination with non-negative weights that sum up to one.
27. An affine variety is a subvariety of an affine space that can be defined by polynomial equations.
28. The affines of a regular tetradecagon are its fourteen sides.
29. The affines of an equilateral triangle are its three medians.
30. The affines of a convex quadrilateral are its four sides and two diagonals.

Common Phrases

1. Affines are mathematical objects that generalize the concept of linear equations;
2. The study of affines is an important aspect of algebraic geometry;
3. Affine transformations are used in computer vision to analyze images and videos;
4. Many optimization problems can be formulated as affine programs;
5. The theory of affines has deep connections with topology and algebraic topology;
6. Affine spaces are fundamental structures in linear algebra;
7. The concept of an affine span plays a key role in Euclidean geometry;
8. Affine combinations are used in many areas of mathematics and science;
9. Affine transforms are commonly used in computer graphics;
10. Affine functions are a special type of function that preserves certain properties of the input and output spaces.