Invariant

The form of a quadratic equation is invariant under translation.

The eigenvalues of a matrix are invariant under similarity transformations.

The volume of a cube is invariant under a rotation around its center.

The eigenvalues of a matrix are invariant under a change of basis.

The magnitude of a vector is invariant under a rotation of the coordinate axes.

The trace of a matrix is invariant under cyclic permutations of its diagonal entries.

The distance between two points on a coordinate plane is invariant under rotations.

The rank of a matrix is invariant under elementary row and column operations.

The dot product of two vectors is invariant under a change of basis.

The angle between two lines is invariant under translations.

The determinant of a matrix is invariant under row operations.

The area of a rectangle is invariant under a reflection across one of its sides.

The invariant rules of the game are posted on the wall.

The charge of a particle is an invariant quantity.

The principles of good governance are invariant, even as political systems evolve.

The principles of arithmetic remain invariant over the centuries, even as technology changes.

The Pythagorean theorem is an invariant mathematical principle that has stood the test of time.

The mathematical concept of infinity is an invariant principle that has puzzled thinkers for centuries.

The principles of geometry are invariant to the era they were discovered in.

The principles of good storytelling remain invariant over time, even as genres and mediums evolve.

The symmetrical patterns on a butterfly's wings remain invariant over time.

The geological features of the Grand Canyon have remained invariant for millions of years.

The natural laws of ecology are believed to be invariant, even as ecosystems change.

The length of a meter is an invariant standard of measurement.

The mass of an object is an invariant property.

The total charge of a system is invariant under time evolution.

The period of a pendulum is an invariant property that depends only on its length and gravity.

An invariant principle of the legal system is that everyone is equal before the law.

The cross-sectional area of a wire is an invariant quantity in electrical engineering.

The sum of angles of a triangle is an invariant.

The determinant of a matrix is an important invariant in linear algebra.

The rules of the game are invariant and cannot be changed.

The rules of grammar are invariant in formal writing.

The principle of relativity asserts that the laws of physics are invariant under a change of coordinate system.

The action of a physical system is an invariant quantity in classical mechanics.

The fundamental laws of physics are believed to be invariant throughout the universe.

The area of a triangle is an invariant when it is scaled uniformly.

The conservation of energy is an invariant law of nature.

The curl of a vector field is an example of a vector invariant.

The topology of a torus is invariant under stretching and bending.

The speed of light is an invariant quantity in physics.

The boiling point of water is an invariant value at sea level.

The speed of light is an invariant constant in the universe.

The principles of logic are invariant and do not depend on personal opinions.

The invariant rules of mathematics are universal.

The Pythagorean theorem is invariant under rotations.

The area of a triangle is invariant under translations.

The chemical composition of a substance is an invariant property.

The laws of physics are invariant across the universe.

The boiling point of a substance is an invariant property that remains constant regardless of the amount of substance present.