Web Reference: u can often go a long way. Some types of invariants to look for: If you're dealing with a set of numbers a1; : : : ; an, consider the sum a1 + + Consider the parity of a number. Consider numbers modulo other numbers. Use algebra to your advantage! In the ̄rst problem, the process consists of moving stones, and in the second problem, it consists of choosing numbers according to a recurrence. To understand these processes better, it is helpful to consider invariants and monovariants. In this video, I solve two simple math problems about invariants. Invariants are often used when there is some dynamics in the problem. For example, moves in a mathematical game.
YouTube Excerpt: In this video, I solve

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9. Solving problems with invariants -- four more examples
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What Stays the Same: Discovering Invariants in Mathematics
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