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Glite Dictionary
Lukasiewicz notation

Lukasiewicz notation

9.9
A way to write math expressions with each operator before its numbers, without parentheses
  • noun
  • /ˌluːkəˈsɛvɪtʃ noʊˈteɪʃən/
  • Specialized
translation icon : notación de Lukasiewicz
  • In Lukasiewicz notation, the operator always precedes the operands, making it a unique way to structure equations.

Examples

  • Understanding Lukasiewicz notation allows you to write mathematical expressions without using any parentheses.

  • The programming language was designed around Lukasiewicz notation to simplify parsing mathematical expressions.

  • Learning Lukasiewicz notation can help students understand the structure of complex formulas.

  • Many calculators use Lukasiewicz notation to allow for easier computation without parentheses.

  • The formula is expressed using Lukasiewicz notation.

  • Can you explain Lukasiewicz notation to me?

  • Many programming languages implement Lukasiewicz notation for more efficient computation of algebraic expressions.

Synonyms

prefix notation
vsLukasiewicz notation
  • Specialized
8.7

A way of writing math expressions where the operator comes before the numbers so no parentheses are needed

is the same method but called by the inventor's name
Polish notation
vsLukasiewicz notation
  • Specialized
8.6

A way of writing math expressions without parentheses where a math sign like + or − comes before the numbers

is the same prefix form but bears a different name
parenthesis-free notation
vsLukasiewicz notation
  • Specialized
8.1

A way of writing math expressions that uses the order of math signs instead of extra marks

requires operators to appear before operands as part of the method

Surface Forms

Lukasiewicz notation singular
Lukasiewicz notations plural

Morphology

Lukasiewicz + notation

This is an eponymic technical term: 'Lukasiewicz' is a proper name with no inherent meaning for learners, and 'notation' only indicates a generic system of symbols. A B1 learner who knows both constituents would not be able to infer the crucial structural property (prefix, parenthesis-free operator-before-operands), so the overall meaning is not derivable from the parts.

Etymology

Lukasiewicz notation is named after Jan Łukasiewicz, who invented a way to write math with the action first: the operator, the action, comes before the operands, the numbers, so you might write 'add 2 3' instead of '2 plus 3'. That's why this system is called 'prefix notation' and lets you write expressions 'without parentheses'.