Algebraic: meaning, definitions and examples
๐งฎ
algebraic
[ หรฆl.dสษหbrษษชk ]
mathematics
Relating to or involving algebra, a branch of mathematics in which symbols represent numbers or quantities and relationships are represented by equations. Algebraic expressions consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
Synonyms
equational, mathematical, symbolic.
Which Synonym Should You Choose?
| Word | Description / Examples |
|---|---|
| algebraic |
Utilize in situations involving algebra, which is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
|
| mathematical |
Best used in a broader context referring to anything related to mathematics, not limited to a specific branch like algebra.
|
| symbolic |
Use when focusing on the symbols themselves or when the manipulation or representation of these symbols is important.
|
| equational |
Appropriate when specifically focusing on equations, highlighting a situation where equations are analyzed or used.
|
Examples of usage
- Algebraic equations can be solved by isolating the variable.
- In algebraic geometry, algebraic varieties are studied.
general
Relating to or based on algebraic structure, such as an algebraic field or an algebraic system, where operations follow certain rules and properties.
Synonyms
equational, mathematical, symbolic.
Which Synonym Should You Choose?
| Word | Description / Examples |
|---|---|
| algebraic |
When dealing with concepts, structures, or expressions related to algebra.
|
| mathematical |
When referring broadly to anything related to mathematics.
|
| symbolic |
When focusing on the use of symbols to represent ideas, especially in mathematical contexts.
|
| equational |
When discussing relationships or expressions that involve equations specifically.
|
Examples of usage
- An algebraic approach was used to solve the problem.
- The solution required an understanding of algebraic concepts.
Translations
Translations of the word "algebraic" in other languages:
๐ต๐น algรฉbrico
๐ฎ๐ณ เคฌเฅเคเฅเคฏ
๐ฉ๐ช algebraisch
๐ฎ๐ฉ aljabar
๐บ๐ฆ ะฐะปะณะตะฑัะฐััะฝะธะน
๐ต๐ฑ algebraiczny
๐ฏ๐ต ไปฃๆฐ็ (ใ ใใใใฆใ)
๐ซ๐ท algรฉbrique
๐ช๐ธ algebraico
๐น๐ท cebirsel
๐ฐ๐ท ๋์์ ์ธ
๐ธ๐ฆ ุฌุจุฑู
๐จ๐ฟ algebraickรฝ
๐ธ๐ฐ algebraickรฝ
๐จ๐ณ ไปฃๆฐ็ (dร ishรน de)
๐ธ๐ฎ algebrski
๐ฎ๐ธ algebru
๐ฐ๐ฟ ะฐะปะณะตะฑัะฐะปัา
๐ฌ๐ช แแแแแแ แฃแแ
๐ฆ๐ฟ cษbri
๐ฒ๐ฝ algebraico
Etymology
The word 'algebraic' comes from the Arabic word 'al-jabr', which was used in the title of a book by mathematician Al-Khwarizmi in the 9th century. The word 'al-jabr' referred to the process of completing the square, which is a fundamental technique in solving quadratic equations. Over time, algebra evolved into a branch of mathematics that deals with symbols and the rules for manipulating them to solve equations and study mathematical structures.