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Examples of translating english expressions into mathematical expressions using various mathematical symbols. It includes instructions for translating english statements into mathematical equations and vice versa, with examples given for each step. The document also includes a key for checking the answers.
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Almighty God, we glorify You for giving us the Angelite Charism. We thank You for the gift of your Son, Jesus Christ, who is the Way, Truth, and Life. We bless you for the continuous guidance of the Holy Spirit. Grant us, we pray, courage and strength that we may give perpetual praise to You in whatever we do. We ask this through Christ, our Lord. Amen. Oh, Holy Guardian Angels, guide us and protect us! Laus Deo semper!
LANGUAGE & SYMBOLS
We can formulate representations to model and interpret both physical and social phenomena through mathematics. MATHEMATICS IS WRITTEN IN A SYMBOLIC LANGUAGE.
= Equals ≠ Not equal to ≤ Less than or equal to ≥ Greater than or equal to ≈ Approximately equal to ∞ Infinity ∝ Proportional 𝜮 Sum of ± Positive or negative log Logarithm
ℝ Set of real numbers ℤ Set of integers ℚ Set of rational numbers ℕ Set of natural numbers P Set of positive integers ∀ For all or for every ∃ There exists ∴ Therefore ∵ Because 𝑎 Absolute value
{ } Set ∪ Union of sets ∩ Intersection of sets ∈ Element of ⊂ Subset of ∎ End of proof → Implies (if-then) ↔ If and only if ⊥ Perpendicular lines ∥ Parallel lines ≅ Congruent to ∠ Angle sin 𝜃 Sine of an angle 𝑓 𝑥 Function 𝜋 Pi % Percent
MATHEMATICAL TRANSLATION
MATHEMATICAL TRANSLATION
Part I: Mathematical Symbols Part II: Logic (topic for next week)