explain the concept of a vector space
English Meaning & Definitions
To provide a clear, comprehensive description and interpretation of the mathematical structure consisting of a set of objects called vectors, which can be added together and multiplied ('scaled') by numbers, satisfying specific algebraic axioms.
- “During the linear algebra lecture, the professor took the time to explain the concept of a vector space using geometric arrows in the plane.”
- “To pass the qualifying exam, you must be able to clearly explain the concept of a vector space and provide examples of function spaces.”
English Synonyms & Near Equivalents
English Antonyms & Opposites
Comprehensive Thesaurus Breakdown
Compare formal, informal, literary synonyms and register nuances for “explain the concept of a vector space”.
Derived from the combination of the English verb 'explain' (from Latin ex- 'out' + planare 'to make flat'), the noun 'concept' (from Latin conceptus 'a collection, thing conceived'), the prepositional phrase 'of a', and the mathematical terms 'vector' (from Latin vector 'carrier') and 'space' (from Latin spatium 'room, area'). Vector spaces as a formal algebraic structure were developed in the 19th century through the synthesis of works by mathematicians such as Hermann Grassmann and Giuseppe Peano.
Think of a vector space as an algebraic universe where vectors live, and to explain it, you must describe its ten fundamental axioms of addition and scalar multiplication.
Frequently Asked Questions About “explain the concept of a vector space”
1. What is the meaning of “explain the concept of a vector space” in English?
In English, explain the concept of a vector space (verb) is defined as: “To provide a clear, comprehensive description and interpretation of the mathematical structure consisting of a set of objects called vectors, which can be added together and multiplied ('scaled') by numbers, satisfying specific algebraic axioms.”.
2. How do you use “explain the concept of a vector space” in a sentence?
“During the linear algebra lecture, the professor took the time to explain the concept of a vector space using geometric arrows in the plane.”
3. What are English synonyms of “explain the concept of a vector space”?
4. What is the etymology and word origin of “explain the concept of a vector space”?
Derived from the combination of the English verb 'explain' (from Latin ex- 'out' + planare 'to make flat'), the noun 'concept' (from Latin conceptus 'a collection, thing conceived'), the prepositional phrase 'of a', and the mathematical terms 'vector' (from Latin vector 'carrier') and 'space' (from Latin spatium 'room, area'). Vector spaces as a formal algebraic structure were developed in the 19th century through the synthesis of works by mathematicians such as Hermann Grassmann and Giuseppe Peano.
🇬🇧More English Words to English
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A specific duration of time equal to one hour and forty-six minutes and twelve seconds.
The cardinal number equal to one thousand million (1,000,000,000), expressed in scientific notation as 10^9.
A specific duration of time equivalent to one hour and forty-six minutes.