equation

Meanings

• noun

  A statement that expresses the mathematical relationship between two or more variables.

  - "The equation y = mx + b represents the line of best fit for a set of data points."
  - "Solve the equation 2x + 3 = 5 for x."

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Pronunciation

1. /ɪˈkweɪʃən/
   
   
   
   Source: "https://commons.wikimedia.org/w/index.php?curid=50497461"

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Variants

List of all variants of equation that leads to same result
equation , equations , equation of time , equations of time , characteristic equation , characteristic equations , cubic equation , cubic equations , differential equation , differential equations , Diophantine equation , Diophantine equations , linear equation , linear equations , parametric equation , parametric equations , partial differential equation , partial differential equations , personal equation , personal equations

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'equation' comes from the Latin word 'aequatio' meaning 'making equal'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The longest equation ever written is the Riemann Hypothesis, which is still not proven or disproven.

2. The equation e = mc², which relates energy (e) to mass (m) and the speed of light (c²), is one of the most famous equations in physics.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Algebra: Equations are a fundamental concept in algebra, which deals with the study of symbols and their relationships.

2. Calculus: Equations are also used extensively in calculus, which deals with the study of rates of change and the optimization of functions.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Equations have been used throughout history to describe various scientific and mathematical concepts, from simple arithmetic equations to complex mathematical formulas. They have been used to describe the laws of physics, solve problems in engineering, and model real-world phenomena.

How to Memorize "equation"

1. visualize
   

   - To visualize an equation, imagine the variables as objects that can be manipulated to maintain equality.
   - For example, to visualize the equation x + 3 = 5, imagine adding 3 to x until x = 2, then subtracting 3 from 5 to get the other side equal to x.

2. associate
   

   - To memorize an equation, associate it with a mnemonic or a memorable phrase.
   - For example, to remember the quadratic formula x = (-b ± √(b² - 4ac)) / 2a, one could use the mnemonic 'Buns Are Good, Apples Cost Extra' to remember the order of the terms.

3. mnemonics
   

   - Create a mnemonic to help remember the order of operations in PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction): 'Please Excuse My Dear Aunt Sally'.

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