Algebra
Definition
A foundational branch of mathematics that studies arithmetic operations and structural relations by generalizing the properties of numbers using symbols, letters, and variables. Broadly, it designates the study of abstract structures and polynomial equations.
Bilingual Equivalents
- Algebra
- Abstract mathematics
Grammatical & Source Details
| Inflection Type | Feminine noun with standard plural and genitive structural modifications. |
| Formation | Derived through French 'algèbre' and medieval Latin from Arabic 'al-jabr' meaning restoration or reunion of broken parts. |
| Spelling / Pronunciation | [ˈæl.dʒɪ.bɹə] |
| Source | Encyclopedia of Mathematical Sciences and Historical Nomenclature |
Contextual Usage Examples
RO: Manualul de algebră cuprinde regulile fundamentale pentru rezolvarea sistemelor de ecuații liniare.
EN: The algebra textbook covers the fundamental rules for solving systems of linear equations.
RO: În cadrul facultății de informatică, un curs de algebră booleană este obligatoriu pentru designul circuitelor.
EN: Within the computer science faculty, a course in Boolean algebra is mandatory for circuit design.
RO: Originile acestei algebre moderne sunt legate de lucrările savantului persan Al-Khwarizmi.
EN: The origins of this modern algebra are linked to the works of the Persian scholar Al-Khwarizmi.
Idioms & Phrases
Algebră liniară / Linear algebra
RO: Ramură a matematicii axată pe studiul vectorilor, spațiilor vectoriale, matricelor și transformărilor liniare.
EN: A branch of mathematics focused on the study of vectors, vector spaces, matrices, and linear transformations.
Algebră booleană / Boolean algebra
RO: Sistem logic formal în care variabilele pot avea doar valorile de adevărat sau fals, utilizat la baza programării computerelor.
EN: A formal logical system where variables can only have the values of true or false, used at the foundation of computer programming.
Algebră abstractă / Abstract algebra
RO: Domeniu avansat care studiază structurile matematice axiomatice în loc de numerele sau operațiile concrete.
EN: An advanced field that studies axiomatic mathematical structures instead of concrete numbers or operations.
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