Algebraic: meaning, definitions and examples
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algebraic
[ˌæl.dʒəˈbrəɪk ]
Definitions
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.
Interesting Facts
Etymology
- The term 'algebra' comes from the Arabic word 'al-jabr', which means 'reunion of broken parts'.
- The concept was popularized in Europe during the 12th century through translations of Arabic texts.
- Algebraic concepts were used by ancient civilizations, including the Babylonians as early as 2000 BC.
Notable Figures
- Al-Khwarizmi, a Persian mathematician, is often called the 'father of algebra' for his influential works in the 9th century.
- Gerard of Cremona, an Italian translator, helped introduce Arabic algebraic texts to Europe, paving the way for modern mathematics.
- In the 17th century, mathematician René Descartes introduced the use of coordinates, merging geometry and algebra.
Applications
- Algebraic methods are essential in fields like computer science for algorithms and coding.
- In economics, algebraic models help to understand and predict market behaviors through equations.
- Engineering relies heavily on algebraic equations to design structures and systems efficiently.
Pop Culture
- Algebra has found its way into popular media, portrayed humorously in shows like 'The Big Bang Theory', where characters often joke about math.
- Music and lyrics sometimes reference algebraic concepts, metaphorically relating equations to emotions and relationships.
- Video games often utilize algebra to create intricate puzzles that players must solve to progress through levels.
Psychology
- Learning algebra can improve cognitive skills, helping individuals to develop better problem-solving abilities.
- Studies show that understanding algebra is linked to increased confidence in math-related tasks among students.
- Teaching algebra in a relatable way enhances students' interest in math, resulting in a positive attitude towards learning.
Translations
Translations of the word "algebraic" in other languages:
🇵🇹 algébrico
🇮🇳 बीजीय
🇩🇪 algebraisch
🇮🇩 aljabar
🇺🇦 алгебраїчний
🇵🇱 algebraiczny
🇯🇵 代数的 (だいすうてき)
🇫🇷 algébrique
🇪🇸 algebraico
🇹🇷 cebirsel
🇰🇷 대수적인
🇸🇦 جبري
🇨🇿 algebraický
🇸🇰 algebraický
🇨🇳 代数的 (dàishù de)
🇸🇮 algebrski
🇮🇸 algebru
🇰🇿 алгебралық
🇬🇪 ალგებრული
🇦🇿 cəbri
🇲🇽 algebraico