Definition of invariant : constant, unchanging specifically : unchanged by specified mathematical or physical operations or transformations invariant factor.
How do you say invariance?
What is another word for invariant?
In this page you can discover 26 synonyms, antonyms, idiomatic expressions, and related words for invariant, like: changeless, constant, regular, unchanging, unvarying, equable, invariable, same, uniform, orthogonal and polynomial.
What is the meaning of invariance principle?
The invariance principle offers the hypothesis that metaphor only maps components of meaning from the source language that remain coherent in the target context. The components of meaning that remain coherent in the target context retain their “basic structure” in some sense, so this is a form of invariance.
Does invariant mean constant?
Based on your example above, in the math context, a constant is taken from the set of all integers or all real number. The term invariant is applied to a number in the context of some transformation process. The transform of a constant is not always an invariant, while the transform of an invariant is alway a constant.
What is an invariant example?
Examples. A simple example of invariance is expressed in our ability to count. For a finite set of objects of any kind, there is a number to which we always arrive, regardless of the order in which we count the objects in the set.
What is an invariant class 11?
What is an invariant? Answer: An expression involving variables, which remains unchanged by an assignment to one of these variables is called as an invariant of the assignment.
What does invariant mean transformations?
An invariant point under a transformation is a point that maps to itself. As noted in part 4, linear transformations map the origin to the origin, so the origin is always an invariant point under a linear transformation. An invariant line is a line that maps to itself.
Is invariance a word?
The property of remaining unchanged regardless of changes in the conditions of measurement. For example, the area of a surface remains unchanged if the surface is rotated in space; thus the area exhibits rotational invariance.
What’s a synonym for consistent?
adj.constant, regular. adj.agreeing, compatible.
How do you use invariance principle?
In this problem, the invariant is the sum of the numbers on the blackboard, n n n. If Bob chooses to erase the numbers a a a and b b b, he will write a + b a+b a+b on the blackboard, making the new sum n − a − b + ( a + b ) = n n-a-b+(a+b)=n n−a−b+(a+b)=n, so n n n is indeed an invariant.
What is difference between conservation and invariance of charge?
A conserved quantity is a quantity whose value remains the same over time. An invariant, or scalar quantity is a quantity whose value is the same in all reference frames.
What is reflection invariant?
Any point that remains unaltered under a given reflection is called an invariant point.
How do you show something invariant?
Definition A set M ⊆ Ω is invariant under ϕ if it contains the complete orbit of every point of M. In other words, for every x ∈ M and every t ∈ R, ϕ(t, x) ∈ M. Definition A set M ⊆ Ω is positively invariant under ϕ if it contains the positive semiorbit of every point of M.
Is charge an invariant?
Electric charge is an invariant just like rest mass. Both are scalars.
Is displacement a invariant quantity?
Sigmae physical quantities are called not invariant . In Newtonian mechanics displacement, velocity and work ( which is the dot product of force and displacement) are not invariant.
What is the invariant of a class?
A class invariant is a condition that defines all valid states for an object. It is a logical condition to ensure the correct working of a class. Class invariants must hold when an object is created, and they must be preserved under all operations of the class.
What is an invariant plane?
[in′ver·ē·ənt ′plān] (astronomy) The plane that is perpendicular to the total angular momentum of the solar system and passes through its center of mass.
What is invariant curve?
1. It is a curve such that for any initial condition on the curve the corresponding solution remains in the curve for all times (in its domain of definition). Note that invariant curve are rare in nonautonomous systems.
What is loop invariant examples?
Loop invariant condition is a condition about the relationship between the variables of our program which is definitely true immediately before and immediately after each iteration of the loop. For example: Consider an array A7, 5, 3, 10, 2, 6 with 6 elements and we have to find maximum element max in the array.
What is invariant data?
Data invariants specify properties over data that hold before and after each public function that operates on that data. A successful check means sane data. ▪ Postconditions describe the effects of a function. A successful check means correctness of the result.
What is case analysis 11th class?
What is case analysis? Answer: Case Analysis statement generalizes the problem into multiple cases. Case Analysis splits the problem into an exhaustive set of disjoint cases.
Which points are invariant in rotation?
A rotation of a three-dimensional figure in space has a line of invariant points called the axis of rotation. Rotation, like translation and reflection, is called an isometric transformation since it does not change the shape of the figure being rotated.
How do you find the invariant point of a rotation?
What is an invariant point in a phase diagram?
phase diagrams Point C is therefore an invariant point; a change in either pressure or temperature results in the loss of one or more phases. The phase rule also reveals that no more than three phases can stably coexist in a one-component system because additional phases would lead to negative variance.