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Hereditary representation

Choice a base typeset structure, say typeset structure. Hereditary representation of an integer typeset structure is representation we get as follows:

1) express typeset structure as a sum of powers of typeset structure. Let

typeset structure 1 716 199 415 032 652 428 745 475 199 770 348 304 317 358 825 035 826 352 348 615 864 796 385 795 849 414 013 030 639 910 165 363 638 744 324 077 847 870 214 509 280 496 999 929 160 953 143 507 072 778 764 841

2) then express each of the exponents as a sum of powers of typeset structure, and continue this process until it stops. In our example

m = 2^519 + 2^9 + 2^5 + 2^3 + 2^1 + 2^0 = 2^(2^9 + 2^2 + 2 + 2^0) + 2^(2^3 + 2^0) + 2^(2^2 + 2^0) + 2^(2^1 + 2^0) + 2^1 + 2^0

    = 2^(2^(2^3 + 2^0) + 2^2 + 2^1 + 2^0) + 2^(2^(2 + 2^0) + 2^0) + 2^(2^2 + 2^ ... ^1 + 2^0) + 2^2^1 + 2^1 + 2^0) + 2^(2^(2 + 2^0) + 2^0) + 2^(2^2 + 2^0) + 2^(2^1 + 2^0) + 2^1 + 2^0

If typeset structure and  typeset structure then typeset structure.

Cite this web-page as:

Štefan Porubský: Hereditary representation.

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