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Optimal algorithms for mastermind and bulls-cows games.
Optimal algorithms for mastermind and bulls-cows games.

... of two game types has two directions. Minimal average game length. Minimizing of average amount of turns to guess arbitrary secret number. Since this problem is solved for bulls-cows (see [1] and [2]), average game length is 26274/5040=5.21, then it’s sufficient to find algorithm with such average g ...
8 Square matrices continued: Determinants
8 Square matrices continued: Determinants

The Math Encyclopedia of Smarandache Type Notions / Vol. 1
The Math Encyclopedia of Smarandache Type Notions / Vol. 1

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Before reading the descriptions of the board work try to figure out
Before reading the descriptions of the board work try to figure out

Sequences and limits
Sequences and limits

... Therefore (an )n∈N is convergent with limn→∞ an = 1. Remark. In the second example before writing it down as written above it is necessary to do some work to figure out how to choose N . This is standard with these arguments while they should be written in the form ‘Let ε > 0 and choose N = · · · ’ ...
Medium-term plan: autumn term 1st half Year 3
Medium-term plan: autumn term 1st half Year 3

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Number Theory: Applications

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Survey article: Seventy years of Salem numbers

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Unit 2 Scholar Study Guide Heriott-Watt

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Seventy years of Salem numbers

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Lecture 15 - Mathematics

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To add fractions, the denominators must be equal

... inside the “little fractions.” To simplify a complex fraction,  Determine the LCD of the little fractions,  Multiply numerator and denominator by this LCD  Use the distributive property and simplify. ...
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Using Decimals

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The bounds of the set of equivalent resistances of n equal resistors

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Is there a pattern in the prime numbers?

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Nearest piecewise linear approximation of fuzzy numbers

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R6. The Least Common Multiple

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Provo City School District Mathematics Resources 1 Table of

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An Introduction to Number Theory Prime Numbers and Their

... throughout the author’s years of experience, this scenario only exists in a perfect classroom. On the other hand, teaching students the rules and showing them how the rules work seems to be a more effective way of helping students understand divisibility rules. This could be shown by a hands-on acti ...
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Weekly Planning Sheet for Numeracy

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Math35-preview1-2

... 12. A store sells regular coffee for $8 a pound and gourmet coffee for $14 a pound. To get rid of 40 pounds of the gourmet coffee, a shop keeper makes a blend to put on sale for $10 a pound. How many pounds of regular coffee should he use? Ans: 80lbs ...
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Large numbers

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