hamel

Meanings

• noun

  A term used in mathematics, specifically in vector spaces. The Hamel basis is a maximal linearly independent set of vectors that span the entire vector space.

  - "The Hamel basis for this vector space is a set of three vectors."
  - "Finding the Hamel basis is an essential step in understanding the structure of a vector space."

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Variants

List of all variants of hamel that leads to same result
hamlet , hamlets , Hamlet

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Etymology

origin and the way in which meanings have changed throughout history.

Named after the German mathematician Heinrich Eduard Hamel.

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Trivia

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1. Heinrich Eduard Hamel was born on July 26, 1885, in Magdeburg, Germany.

2. The Hamel basis was first introduced in Hamel's 1904 doctoral thesis.

3. The Hamel basis is also known as a basis of the vector space or a Hamel basis of a module.

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Related Concepts

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1. Linear independence: A property of vectors in a vector space where no vector can be expressed as a linear combination of the others.

2. Vector space: A set of vectors with defined operations of addition and scalar multiplication.

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Culture

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The Hamel basis is a fundamental concept in linear algebra and vector space theory.

How to Memorize "hamel"

1. visualize
   

   - Imagine a collection of vectors that can be combined in various ways to represent all vectors in the space. The Hamel basis represents this fundamental set.

2. associate
   

   - Associate the Hamel basis with the idea of a foundation or base for understanding the structure of a vector space.

3. mnemonics
   

   - Remember HAM-EL as the foundation for understanding the H-space (Hamel space) and its vectors.

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