superposition

/,sju:pəpə'ziʃn/

Thân thiện

A student demonstrates the superposition of two congruent triangles.

Definition

1. Noun:
   • The placement of one thing on top of another: The act or state of placing or being placed over or above something else.
   • (Geometry) The placement of one object ideally in the position of another to show that the two coincide: A method of proving congruence by moving one figure to cover another exactly.
   • (Geology) The principle that in a series of stratified sedimentary rocks the lowest stratum is the oldest: A fundamental law of stratigraphy stating that in an undisturbed sequence, layers deposited earlier are found beneath later layers.
   • (Geology) The deposition of one geological stratum on another: The process by which one layer of rock is laid down over another.

Usage Examples

• General Placement:
  • The superposition of the transparent sheets created a complete map.
• Geometry:
  • The theorem was proved using the method of superposition.
• Geology (Principle):
  • The law of superposition helps geologists determine the relative ages of rock layers.
• Geology (Process):
  • The superposition of volcanic ash over the limestone was clearly visible.

Advanced Usage

• Quantum Superposition: (Physics) A fundamental principle where a quantum system can exist in multiple states or locations simultaneously until it is measured.
  • The concept of quantum superposition is central to understanding phenomena like Schrödinger's cat.
• Wave Superposition: (Physics) The phenomenon where two or more waves combine to form a resultant wave of greater, lower, or the same amplitude.
  • The interference pattern is a direct result of the superposition of light waves.

Variants and Related Words

• Superpose (verb): To place or lay (one thing) over another, typically so that they coincide.
  • You can superpose the two triangles to check for congruence.
• Superposable (adjective): Capable of being superposed; congruent.
  • The shapes are superposable.

Synonyms

• Overlay: To place one thing over another, typically to protect or decorate.
• Juxtaposition: The fact of two things being seen or placed close together with contrasting effect. (Note: This implies side-by-side placement, not necessarily on top).

Related Phrases

• Principle of Superposition: A term used in geology and physics (e.g., for waves or electric fields) denoting that the net effect is the sum of individual effects.
  • The total electric field is calculated using the principle of superposition.

Học thuật

Noun

1. the placement of one thing on top of another
2. (geometry) the placement of one object ideally in the position of another one in order to show that the two coincide
3. (geology) the principle that in a series of stratified sedimentary rocks the lowest stratum is the oldest
4. (geology) the deposition of one geological stratum on another

Từ đồng nghĩa

• principle of superposition
• superposition principle