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Function, Derivative and Integral

Function, Derivative and Integral

The graph is a natural cubic spline passing at the outset through 11 points. The points are added as needed whenever you attempt to drag the graph in-between the existing points.

http://www.cut-the-knot.org/Curriculum/Calculus/CubicSpline.shtml

Gergonne's Magic Trick

Gergonne's Magic Trick

he numbers from 1 through 27 are displayed below in three rows of nine numbers each. Select one of those numbers and reply truthfully to three computer queries.

http://www.cut-the-knot.org/Curriculum/Magic/GergonneMagic.shtml

Goat, Cabbage and Wolf

Goat, Cabbage and Wolf

A farmer is to ferry across a river a goat, a cabbage, and a wolf. Besides the farmer himself, the boat allows him to carry only one of them at a time.

http://www.cut-the-knot.org/ctk/GoatCabbageWolf.shtml

How Is It Possible?

How Is It Possible?

A right triangle with legs 13 and 5 can be cut into two triangles (legs 8, 3 and 5, 2, respectively).

http://www.cut-the-knot.org/Curriculum/Fallacies/CurryParadox.shtml

How Is It Possible?

How Is It Possible?

To make the paradox work for small values (3, 4, 5) of the parameter, check the "Cheat" box. For greater values, the effect is virtually imperceptible.

http://www.cut-the-knot.org/Curriculum/Fallacies/LangmanParadox.shtml

Hummer's Mind Reader

Hummer's Mind Reader

Place three distinct objects in a line. Any three distinct objects will do the job.

http://www.cut-the-knot.org/Curriculum/Magic/MindReader.shtml

Infinity and Probability

Infinity and Probability

When it comes to counting, there is a gap between finite and infinite.

http://www.cut-the-knot.org/Probability/infinity.shtml

Josephus Flavius game

Josephus Flavius game

Josephus Flavius was a famous Jewish historian of the first century at the time of the Second Temple destruction.

http://www.cut-the-knot.org/recurrence/flavius.shtml

Lagrange Interpolation

Lagrange Interpolation

Lagrange interpolation is a way to pass a polynomial of degree N-1 through N points.

http://www.cut-the-knot.org/Curriculum/Calculus/LagrangeInterpolation.shtml

Mastermind Variants

Mastermind Variants

Mastermind is a game played by two players, the codemaker and the codebreaker.

http://www.cut-the-knot.org/Curriculum/Games/MastermindVariant.shtml


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