riemann

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The word "Riemann" is a noun that refers to a famous mathematician named Bernhard Riemann. He was a pioneer in the field of mathematics, especially known for his work in non-Euclidean geometry. This means he studied shapes and spaces that do not follow the usual rules of geometry that we learn in school.

Usage Instructions:

• Context: You would typically use the word "Riemann" when discussing mathematics, geometry, or the history of mathematics.
• How to Use: You can say, "Riemann made significant contributions to the understanding of geometry."

Example:

• "Bernhard Riemann developed the Riemann Hypothesis, which is an important concept in number theory."

Advanced Usage:

In advanced discussions, you might encounter phrases like "Riemann surfaces" or "Riemannian geometry," which are topics that build on his foundational work. - Example: "Riemannian geometry is essential for understanding the shape of the universe in general relativity."

Word Variants:

• Riemannian (adjective): Related to the work of Riemann.
  • Example: "Riemannian metrics are used in advanced mathematical physics."

Different Meanings:

"Riemann" primarily refers to the mathematician, but in specific academic contexts, it may also refer to concepts or theories he developed.

Synonyms:

There are no direct synonyms for "Riemann," as it is a proper noun. However, you can refer to his contributions by mentioning related terms such as "mathematician" or "geometer," but these are general terms and not specific to him.

Idioms and Phrasal Verbs:

There are no idioms or phrasal verbs directly associated with "Riemann," as it is a proper noun. However, discussions about his work may involve idiomatic expressions related to mathematics or theory, such as "get to the root of something," which means to understand the fundamental cause or basis of a problem.

Summary:

In summary, "Riemann" is a significant name in mathematics, referring to a mathematician who changed how we understand shapes and spaces.

Academic

Noun

1. pioneer of non-Euclidean geometry (1826-1866)

Synonyms

• Riemann
• Bernhard Riemann
• Georg Friedrich Bernhard Riemann