Method and/or system for transmitting and/or receiving data
First Claim
Patent Images
1. An article comprising:
- a storage medium having stored thereon instructions that, in response to being executed by a processor, direct said processor to;
initiate transmission of one or more electrical digital signals representative of a sequence of binary values;
said sequence of binary values representing a sequence of finite trees comprising signal information in the form of natural numerals, said binary sequence to be formed from said natural numerals according to the following mapping of natural numerals to sequences;
[0]→
empty sequence[1]→
( )[2x]→
( ) [x][Q(x)]→
([x])[x*y]→
[x][y], whereinx and y are natural numerals;
“
(“
and”
)”
are binary values in a sequence;
[x] is a binary sequence formed according to said mapping from x;
Q( ) is a Kleene prime enumeration operation; and
[x][y] is a concatenation of binary sequences formed according to said mapping from x and y, respectively.
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Abstract
Embodiments of a method and/or system of transmitting and/or receiving data are disclosed. In certain embodiments, a sequence of binary values may represent a sequence of trees. Such a sequence may be transmitted as an electrical digital signal. In at least one particular implementation, such trees may be represented by natural numerals.
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Citations
24 Claims
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1. An article comprising:
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a storage medium having stored thereon instructions that, in response to being executed by a processor, direct said processor to; initiate transmission of one or more electrical digital signals representative of a sequence of binary values;
said sequence of binary values representing a sequence of finite trees comprising signal information in the form of natural numerals, said binary sequence to be formed from said natural numerals according to the following mapping of natural numerals to sequences;[0]→
empty sequence[1]→
( )[2x]→
( ) [x][Q(x)]→
([x])[x*y]→
[x][y], whereinx and y are natural numerals; “
(“
and”
)”
are binary values in a sequence;[x] is a binary sequence formed according to said mapping from x; Q( ) is a Kleene prime enumeration operation; and [x][y] is a concatenation of binary sequences formed according to said mapping from x and y, respectively. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. An apparatus comprising:
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a computing platform;
said computing platform comprising one or more processors programmed with instructions to initiate transmission of one or more electrical digital signals representative of a sequence of binary values;
said sequence of binary values representing a sequence of finite trees comprising signal information in the form of natural numerals, and wherein said binary sequence to be formed said natural numerals according to the following mapping of natural numerals to binary sequences;[0]→
empty sequence[1]→
( )[2x]→
( ) [x][Q(x)]→
([x])[x*y]→
[x][y], whereinx and y are natural numerals; “
(“
and”
)”
are binary values in a sequence;[x] is a binary sequence formed according to said mapping from x; Q( ) is a Kleene prime enumeration operation; and [x][y] is a concatenation of binary sequences formed according to said mapping from x and y, respectively. - View Dependent Claims (10, 11, 12, 13, 14, 15, 16)
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17. An apparatus comprising:
a computing platform comprising one or more processors;
said computing platform including means for transmitting a sequence of binary values;
said sequence of binary values representing a sequence of finite trees comprising signal information in the form of natural numerals, said means for transmitting further comprising means for forming said binary sequenced to be transmitted from said natural numerals.- View Dependent Claims (18, 19, 20, 21, 22, 23, 24)
Specification