Explore Invariant through 10+ example sentences from English, with an explanation of the meaning and related words like invariable or changeless. Ideal for language learners, writers and word enthusiasts.
Invariant meaning
- Not varying; constant.
- Unaffected by a specified operation, especially by a transformation.
- Neither covariant nor contravariant.
Synonyms of Invariant
Using Invariant
- The main meaning on this page is: Not varying; constant. | Unaffected by a specified operation, especially by a transformation. | Neither covariant nor contravariant.
- Useful related words include: invariable, changeless, constant, unvarying.
- In the example corpus, invariant often appears in combinations such as: is invariant, invariant under, an invariant.
Context around Invariant
- Average sentence length in these examples: 23.5 words
- Position in the sentence: 4 start, 10 middle, 6 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Invariant
- In this selection, "invariant" usually appears in the middle of the sentence. The average example has 23.5 words, and this corpus slice is mostly made up of statements.
- Around the word, adiabatic, lorentz, graph, measure, variant and theoretic stand out and add context to how "invariant" is used.
- Recognizable usage signals include a left invariant n form and a loop invariant is an. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "invariant" sits close to words such as akhtar, alford and ascertained, which helps place it inside the broader word index.
Example types with invariant
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Arnold Sommerfeld identified this adiabatic invariant as the action variable of classical mechanics. (13 words)
A basic assumption of relativity is that coordinate transformations must leave spacetime intervals invariant. (14 words)
Algebraic topology is the study of topologically invariant abstract algebra constructions on topological spaces. (14 words)
In analogy to the characterizations of the outerplanar and planar graphs as being the graphs with Colin de Verdière graph invariant at most two or three, the linklessly embeddable graphs are the graphs that have Colin de Verdière invariant at most four. (42 words)
He thinks the absolute/relative distinction should be recast in terms of an invariant/variant distinction, where there are many things a proposition can be invariant with regard to or vary with. (32 words)
The adiabatic principle allowed Wien to conclude that for each mode, the adiabatic invariant energy/frequency is only a function of the other adiabatic invariant, the frequency/temperature. (28 words)
Example sentences (20)
He refers to the hyperbolic angle as an invariant measure with respect to the squeeze mapping just as circular angle is invariant under rotation.
He thinks the absolute/relative distinction should be recast in terms of an invariant/variant distinction, where there are many things a proposition can be invariant with regard to or vary with.
In analogy to the characterizations of the outerplanar and planar graphs as being the graphs with Colin de Verdière graph invariant at most two or three, the linklessly embeddable graphs are the graphs that have Colin de Verdière invariant at most four.
In invariant-theoretic conditional inference, the sampling distribution is conditioned on an invariant of the group of transformations (with respect to which the Haar measure is defined).
In this discussion, an invariant metric is simply one that is invariant under rotations of the circle.
In this way he demonstrated that the laws of physics remained invariant as they had with the Galilean transformation, but that light was now invariant as well.
Normal subgroup main A subgroup of H that is invariant under all inner automorphisms is called normal ; also, an invariant subgroup.
The adiabatic principle allowed Wien to conclude that for each mode, the adiabatic invariant energy/frequency is only a function of the other adiabatic invariant, the frequency/temperature.
The impulse response h completely characterizes any linear time-invariant (or shift-invariant in the discrete-time case) filter.
The stem cells will produce invariant natural killer T cells, which can be multiplied and then frozen for use in treatments for future cancer patients.
A basic assumption of relativity is that coordinate transformations must leave spacetime intervals invariant.
A construction on Lie groups On an n-dimensional Lie group, Haar measure can be constructed easily as the measure induced by a left-invariant n-form.
Again, the difference in length and time scales is such that the speed of light is invariant.
Algebraic topology is the study of topologically invariant abstract algebra constructions on topological spaces.
All forms of energy are believed to interact at least gravitationally, and many authors state that superluminal propagation in Lorentz invariant theories always leads to causal paradoxes.
A loop invariant is an assertion which must be true before the first loop iteration and remain true after each iteration.
Also length of a unit vector (of dimension length, not length/force, etc.) has no coordinate-system-invariant significance.
Another approach is given in the work of Dürr et al. citation in which they use Bohm-Dirac models and a Lorentz-invariant foliation of space-time.
Any of the above may be applied to each dimension of multi-dimensional data, but the results may not be invariant to rotations of the multi-dimensional space.
Arnold Sommerfeld identified this adiabatic invariant as the action variable of classical mechanics.
Common combinations with invariant
These word pairs occur most frequently in English texts:
- is invariant 18×
- invariant under 18×
- an invariant 11×
- the invariant 9×
- not invariant 6×
- be invariant 5×
- invariant with 4×
- invariant of 4×
- invariant as 4×
- adiabatic invariant 4×