Invariance: meaning, definitions and examples

In scientific or mathematical contexts, to describe something that does not change under specific conditions or transformations.

• The invariance of physical laws under different reference frames is a fundamental concept in physics.
• Mathematical invariance is essential when discussing symmetries in geometry.

To emphasize steadiness or permanence over time, often in a general or personal context.

• Her constancy in her beliefs has always inspired me.
• The constancy of the tides is a comforting concept for many.

Often used to describe something that is firmly fixed, not prone to change, and resistant to disturbance. Applicable in both physical and metaphorical contexts.

• Economic stability is crucial for any nation’s development.
• The table has excellent stability, making it sturdy and reliable.

To highlight something that cannot be altered or modified, often with a focus on permanence. It can have a negative connotation if implying inflexibility.

• The unchangeability of the company policies has led to some dissatisfaction among the employees.
• The unchangeability of the ancient laws meant they were respected across generations.

Invariance is used to describe a property or condition that does not change under specific conditions or operations. It is commonly used in mathematical and scientific contexts.

• The invariance of the speed of light is a key principle in relativity theory.
• The invariance of a function under rotation is crucial in studying symmetry.

Conservation refers to the maintenance or protection of a resource or condition, often in the context of natural resources or energy. It implies an effort to ensure something remains constant or sustainable over time.

• The conservation of energy is a fundamental concept in physics.
• Efforts are being made towards the conservation of endangered species.

Preservation is often used to talk about the process of keeping something in its original state or preventing it from decay or harm. This term is frequently seen in the contexts of historical, cultural artifacts, and food.

• The preservation of historical buildings is important for cultural heritage.
• Proper preservation techniques are essential for keeping food fresh.

Rigidity refers to the quality of being stiff or unyielding. It can describe physical properties, attitudes, or systems that do not easily change. This word can carry a negative connotation when referring to people or policies.

• The rigidity of the material makes it ideal for construction.
• His rigidity in following the rules made him difficult to work with.