Lemma

Algebra · Chapter 3 of 20

Inequalities

12 curated · 6 from open sources

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Curated

12
#TitleDifficultySourceTags
47Three fractions, at least threeDeepLemmaAM–GMProducts telescoping
50A dot product can't be too bigDeepLemmaCauchy–SchwarzSquares are nonnegative
971Inequality for four continued proportionalsDeepHall & Knightproportioninequality
1659Inequality with powers and rootsDeepHall & KnightInequalitiesMathematical Induction
1660Factorial inequalityDeepHall & KnightInequalitiesFactorials+1
1665Sum of Even PowersDeepHall & KnightInequalitiesHölder's Inequality+1
1666Growth of Exponential ExpressionsDeepHall & KnightInequalitiesCalculus+1
1667Descending Variables InequalityDeepHall & KnightInequalitiesLogarithmic Convexity
1678Minimum product of factorialsDeepHall & Knightfactorialinequalities+1
1874Triangle Side Quadratic Non-negativityDeepHall & KnightTrianglesQuadratic forms+1
1875Triangle Side Expression Sign ConstraintDeepHall & KnightTrianglesQuadratic forms+1
1899An inequality with positive numbersDeepHall & KnightLogarithmic inequalitiesAM-GM inequality

From open sources

6

Complete problems only, with worked solutions first. Show everything

#TitleDifficulty
100093Linear Equations in One Variable · Exercise 70Deep
100091Linear Equations in One Variable · Exercise 68Deep
100423Other Types of Equations · Exercise 43Deep
100425Other Types of Equations · Exercise 45Deep
100505Linear Inequalities and Absolute Value Inequalities · Exercise 59Deep
100507Linear Inequalities and Absolute Value Inequalities · Exercise 61Deep