Mathematical Language and Symbols PDF
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Kimbert F. Sanchez
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This document provides an overview of mathematical language and symbols, explaining the different types of symbols and their meanings, as well as how they are used in expressions and equations. It also includes examples of different types of mathematical expressions and equations.
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9/17/2024 MATHEMATICAL LANGUAGE AND SYMBOLS PREPARED BY: KIMBERT F. SANCHEZ...
9/17/2024 MATHEMATICAL LANGUAGE AND SYMBOLS PREPARED BY: KIMBERT F. SANCHEZ GE103 INSTRUCTOR 1 MATH LANGUAGE AND SYMBOLS Mathematics, being a language in itself, may appear complex and difficult to understand simply because it uses a different kind of alphabet and grammar structure. It uses a kind of language that has been historically proven effective communicating and transmitting realities. in mathematical In mathematics, like any other language, it can be learned; once learned, allow us to see fascinating things and provides us an advantage to comprehend and exploit the beauty of beneath and beyond. 2 1 9/17/2024 OBSERVE: 3 EXPRESSION VS. EQUATION 4 2 9/17/2024 EXPRESSION When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a "mathematical expression" 5 EQUATION An extension of the natural language that is used in mathematics and in science for expressing results ( scientific law, theorems, proofs, logical deductions etc.) with concision, precision and unambiguity. 6 3 9/17/2024 MATHEMATICAL SYMBOL A mathematical symbol is a figure or combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. 7 COMMON MATHEMATICAL SYMBOLS 8 4 9/17/2024 COMMON MATHEMATICAL SYMBOL Basic Operation Symbols Equality and Inequality Logical Operations and Connectives Sets and Relations Greek Letter and Symbols Propositional and Proof 9 BASIC OPERATION SYMBOLS OPERATION SYMBOL ADDITION + SUBTRACTION - MULTIPLICATION X, *, () , DIVISION /, ÷, √ 10 5 9/17/2024 EQUALITY AND INEQUALITY NAME SYMBOL EQUAL = NOT EQUAL ≠ GREATER THAN > LESS THAN < GREATER THAN OR EQUAL TO ≥ LESS THAN OR EQUAL TO ≤ 11 LOGICAL OPERATIONS AND CONNECTIVES OPERATION SYMBOL CONNECTIVES CONJUNCTION ∧ AND DISJUNCTION ∨ OR NEGATION ⌐,~ NOT CONDITIONAL → IF … THEN BICONDITIONAL IF AND ONLY IF 12 6 9/17/2024 SETS AND RELATION NAME SYMBOL UNION U INTERSECTION ∩ ELEMENT ∈ NOT AN ELEMENT ∉ SUBSET ⊂ NOT A SUBSET ⊄ EMPTY SET/ NULL SET Ø 13 GREEK LETTER AND SYMBOL LETTER SYMBOL ALPHA α BETA β GAMMA γ DELTA δ PI PHI Φ ZIGMA Σ 14 7 9/17/2024 PROPOSITIONAL & PROOF NAME SYMBOL FOR ALL ∀ THERE EXIST ∃ THEREFORE ∴ SUCH THAT n|n END OF PROOF CONGRUENCE/ EQUIVALENCE ≈ 15 THANK YOU! 16 8