代数学 | Shirabe

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1)

代数学だいすうがく

#192,401

だいすうがく

Meaning

1. ①
  
  algebra
1. ①
  
  EN Algebra (from Arabic "al-jabr" meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
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Kanji

代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

Forms

2)

代数学の基本定理

Meaning

1. EN The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.
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Kanji

代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science 基キ fundamentals, radical (chem), counter for machines 本ホン book, present, main 定テイ determine, fix, establish 理リ logic, arrangement, reason

3)

線形代数学せんけいだいすうがく

#259,573

せんけいだいすうがく

Meaning

1. mathematics
  
  linear algebra

Kanji

線セン line, track 形ケイ shape, form, style 代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

Forms

4)

抽象代数学ちゅうしょうだいすうがく

#305,084

ちゅうしょうだいすうがく

Meaning

1. ①
  
  mathematics
  
  abstract algebra; modern algebra
1. ①
  
  EN In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
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Kanji

抽チュウ pluck, pull, extract 象ショウ elephant, pattern after, imitate 代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

Forms

5)

線型代数学

Meaning

1. EN Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces.
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Kanji

線セン line, track 型ケイ mould, type, model 代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

6)

普遍代数学

Meaning

1. EN Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of alg...
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Kanji

普フ universal, wide(ly), generally 遍ヘン everywhere, times, widely 代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

7)

核_(代数学)

Meaning

1. EN In the various branches of mathematics that fall under the heading of abstract algebra, the kernel of a homomorphism measures the degree to which the homomor...
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Kanji

核カク nucleus, core, kernel 代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

8)

捩れ_(代数学)

Meaning

1. EN In abstract algebra, the term torsion refers to elements of finite order in groups and to elements of modules annihilated by regular elements of a ring.
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Kanji

捩レイ screw, twist, wrench 代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

9)

ホモロジー代数学

Meaning

1. EN Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.
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Kanji

代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science

10)

ホモトピー代数学

Meaning

1. EN In mathematics, homotopical algebra is a collection of concepts comprising the nonabelian aspects of homological algebra as well as possibly the abelian aspe...
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Kanji

代ダイ substitute, change, convert 数スウ number, strength, fate 学ガク study, learning, science