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Entropy encoding
Unary coding, or the unary numeral system, is an entropy encoding that represents a natural number, n, with n ones followed by a zero (if the term natural
Unary_coding
Topics referred to by the same term
up unary in Wiktionary, the free dictionary. Unary may refer to: Unary numeral system, the simplest numeral system to represent natural numbers Unary function
Unary
Lossless data compression method
in unary coding, followed by the remainder in truncated binary encoding. When M = 1 {\displaystyle M=1} , Golomb coding is equivalent to unary coding. Golomb–Rice
Golomb_coding
Base-1 numeral system
the application in tally marks, unary numbering is used as part of some data compression algorithms such as Golomb coding. It also forms the basis for the
Unary_numeral_system
Lossless data compression scheme
static code may be useful. These static codes include universal codes (such as Elias gamma coding or Fibonacci coding) and Golomb codes (such as unary coding
Entropy_coding
Set of codewords, none a prefix of another
Fibonacci coding Levenshtein coding Unary coding Golomb Rice code Straddling checkerboard (simple cryptography technique which produces prefix codes) binary
Prefix_code
Mathematical function conceived as a crude model
Research has shown that unary coding is used in the neural circuits responsible for birdsong production. The use of unary in biological networks is
Artificial_neuron
Type of prefix code
non-universal ones: Unary coding, which is used in Elias codes Rice coding, which is used in the FLAC audio codec and which has unary coding as a special case
Universal code (data compression)
Universal_code_(data_compression)
Universal encoding scheme for positive integers
Exponential-Golomb coding generalizes the gamma code to integers with a "flatter" power-law distribution, just as Golomb coding generalizes the unary code. It involves
Elias_gamma_coding
Fibonacci coding is a comma code in which the comma is 11. 11 and 1011 are valid Fibonacci code words, but 101, 0111, and 11011 are not. Unary coding, in which
Comma_code
Compact encoding of digital data
source coding: encoding is done at the source of the data before it is stored or transmitted. Source coding should not be confused with channel coding, for
Data_compression
Notation for expressing numbers
machine word—are used. In certain biological systems, the unary coding system is employed. Unary numerals used in the neural circuits responsible for birdsong
Numeral_system
Topics referred to by the same term
analysis, Cauchy sequence. In discrete mathematics and computer science, Unary coding. In set theory, a fundamental sequence for an ordinal is a sequence of
Fundamental_sequence
Concept in complexity theory
pseudo-polynomial time correspond to encoding the input integers in unary coding. Strongly NP-complete Quasi-polynomial time Pseudo-polynomial transformation
Pseudo-polynomial_time
Array data structure that compactly stores bits
values in a list of strictly increasing integers and encode them using unary coding, the result is a bit array with a 1 bit in the n {\displaystyle n} -th
Bit_array
Computational property
pseudo-polynomial time correspond to encoding the input integers in unary coding. Garey, M. R.; Johnson, D. S. (July 1978). "'Strong' NP-Completeness
Strong_NP-completeness
pseudo-polynomial time correspond to encoding the input integers in unary coding. M. R. Garey and D. S. Johnson. Computers and Intractability: a Guide
Weak_NP-completeness
range of the set. Recursive indexing with a 2-letter alphabet is called unary code. To encode a number N, keep reducing the maximum element of this set (Smax)
Recursive_indexing
Combinational logic circuit
standard ICs such as the CMOS 4511. A binary to unary decoder converts each binary value to its associated unary representation, in which multiple output bits
Binary_decoder
Mathematical symbols (+ and −)
unary minus, which binds more strongly than multiplication or division. However, in some programming languages (Microsoft Excel in particular), unary
Plus_and_minus_signs
encoding Unary coding: code that represents a number n with n ones followed by a zero Universal codes: encodes positive integers into binary code words Elias
List_of_algorithms
Storage size operator in C and C++
sizeof is a unary operator in the C and C++ programming languages that evaluates to the storage size of an expression or a data type, measured in units
Sizeof
(CC1 network) or remains constant (CC4 network). These networks use unary coding for an effective representation of the data sets. This type of network
Instantaneously trained neural networks
Instantaneously_trained_neural_networks
Variant of floating-point numbers in computers
non-negative real dyadic rational f less than 1 The regime field uses unary coding of k identical bits, followed by a bit of opposite value if any remaining
Unum_(number_format)
Indian American computer scientist
and Vedic chronology Number theoretic Hilbert transform Science wars Unary coding Kurien, Prema A. (2007). A place at the multicultural table the development
Subhash_Kak
Symbol representing the word "and" (&)
and Go, a prefix & is a unary operator denoting the address in memory of the operand, e.g. &x, &func, &a[3]. In C++ and PHP, unary prefix & before a formal
Ampersand
Logical operation
An operand of a negation is called a negand or negatum. Negation is a unary logical connective. It may furthermore be applied not only to propositions
Negation
Mathematical symbol
DIVISION SIGN character. However, the programming language APL uses it for the unary reciprocal operator and the binary division operator. Plus and minus signs
Division_sign
Natural number
{ 0 } {\displaystyle \{0\}} , a set containing only the element 0. The unary numeral system, as used in tallying, is an example of a "base-1" number
1
Types of numeral system
Tahboub, N. J. Gadil, E. J. Delp, The use of asymmetric numeral systems as an accurate replacement for Huffman coding, Picture Coding Symposium, 2015.
Non-standard positional numeral systems
Non-standard_positional_numeral_systems
Number of arguments required by a function
function takes no arguments. Example: f ( ) = 2 {\displaystyle f()=2} A unary function takes one argument. Example: f ( x ) = 2 x {\displaystyle f(x)=2x}
Arity
Technique used in signal processing and data compression
motion-compensated DCT or adaptive scene coding, in 1981. Motion-compensated DCT later became the standard coding technique for video compression from the
Discrete_cosine_transform
Performing order of mathematical operations
other spreadsheet applications), unary operations have a higher priority than binary operations; that is, the unary minus has higher precedence than exponentiation
Order_of_operations
Software that executes source code directly
case Kind::PLUS: case Kind::MINUS: case Kind::NOT: const UnaryOperation& un = std::get<UnaryOperation>(n.e); rightValue = executeIntExpression(un.right
Interpreter_(computing)
Measurement of the size of a program
the following keywords (‘else’, ‘case’, ‘default’, ‘?’). Occurrence of a unary conditional operator. The following rules give the count of Assignments
ABC_Software_Metric
Changing an expression from one data type to another
either indicated by writing additional code (e.g. adding type identifiers or calling built-in routines) or by coding conversion routines for the compiler
Type_conversion
Arithmetic operation
passive role. The unary view is also useful when discussing subtraction, because each unary addition operation has an inverse unary subtraction operation
Addition
Bit-vector representation where only one bit can be set at a time
Concept in mathematicsPages displaying short descriptions of redirect targets Unary numeral system – Base-1 numeral system Uniqueness quantification – Logical
One-hot
Object-oriented programming language
precedence rules, the unary message "new" is sent first, and then "label:" and "open" are sent to the receiver of "new". A block of code (an anonymous function)
Smalltalk
U.S. brain and cognitive scientist
this nanoscale quantum process provides evidence that an on/off (UNARY +/-) coding system exists at the most fundamental level of brain operation. In
Newton_Howard
Seventeenth letter of the Greek alphabet
by extension also queries shape The lower-case rho "ρ" is used for the unary rename operation in relational algebra In statistics to represent Spearman's
Rho
such as Golomb coding. It also forms the basis for the Peano axioms for formalizing arithmetic within mathematical logic. A form of unary notation called
List_of_numeral_systems
Set of rules defining correctly structured programs
IEEE-754 describes them. The Number constructor (used as a function), or a unary + or -, may be used to perform explicit numeric conversion: const myString
JavaScript_syntax
Greek letter
pi bond. The natural projection on the tangent bundle on a manifold. The unary operation of projection in relational algebra. Sometimes an element of a
Pi_(letter)
Device or program that encodes/decodes audio data in some bitstream format
algorithms are based on modified discrete cosine transform (MDCT) coding and linear predictive coding (LPC). In hardware, audio codec refers to a single device
Audio_codec
RECURSIVE VIEW format which is internally translated into WITH RECURSIVE coding. An example of a recursive query computing the factorial of numbers from
Hierarchical and recursive queries in SQL
Hierarchical_and_recursive_queries_in_SQL
Topics referred to by the same term
construction used as a contradiction, popularized in the early 1990s Negation, a unary operator in logic depicted as ~, ¬, or ! Bitwise NOT, an operator used in
Not
Programming paradigm
with pipes. Tacit programming can be illustrated with the following Python code. A sequence of operations such as the following: def example(x): return baz(bar(foo(x)))
Tacit_programming
Numeral form used for counting
used as a basic numeral system for counting; they can be thought of as a unary numeral system. They are most useful in counting (tallying) ongoing results
Tally_marks
Type of Turing machine
"m‑configuration" (instruction, state) is represented by "D" followed by a unary string of A's, e.g. "q3" = DAAA. In a similar manner, he encodes the symbols
Universal_Turing_machine
Operations transforming individual bits of integral data types
Typical usage of a right shift operator in C can be seen from the following code. Example: #include <stdio.h> void showbits( unsigned int x ) { int i=0; for
Bitwise_operations_in_C
File format and file compression program
Huffman coding. Selection between multiple Huffman tables. Unary base-1 encoding of Huffman table selection. Delta encoding (Δ) of Huffman-code bit lengths
Bzip2
General-purpose programming language
with the same precedence rules, the infix operators + and - can also be unary, to represent positive and negative numbers respectively. Division between
Python_(programming_language)
Yacc-compatible parser generator program
"TOKEN_ADD" and "TOKEN_MULTIPLY". For instance if we were to support the unary "+" (as in "+1"), it would be wrong to name this "+" "TOKEN_ADD". In a language
GNU_Bison
Unary operators that add or subtract one from their operand, respectively
Increment and decrement operators are unary operators that increase or decrease their operand by one. They are commonly found in imperative programming
Increment and decrement operators
Increment_and_decrement_operators
Bottom-up parser that interprets an operator-precedence grammar
this strategy is that unary operators must all have higher precedence than infix operators. The "negative" operator in the above code has a higher precedence
Operator-precedence_parser
Function that takes one or more functions as an input or that outputs a function
static void main(String[] args) { Function<IntUnaryOperator, IntUnaryOperator> twice = f -> f.andThen(f); IntUnaryOperator plusThree = i -> i + 3; var g = twice
Higher-order_function
Mathematical table used in logic
zero operands and therefore no input values There are 2 unary operations: Unary identity Unary negation Logical identity is an operation on one logical
Truth_table
Telephone address signaling protocol
pulses for 2, and so on, with ten pulses for the digit 0; this makes the code unary, excepting the digit 0. Exceptions to this are Sweden, with one pulse
Pulse_dialing
Object of a mathematical operation, quantity on which an operation is performed
Based on arity, operators are chiefly classified as nullary (no operands), unary (1 operand), binary (2 operands), ternary (3 operands). Higher arities are
Operand
job is to resolve the diagram into an expression, one in which several unary operators (call them 3+( . ), 2*( . ), ( . )++ and ( . )[ i ]) are competing
Operators_in_C_and_C++
Number of nonzero symbols in a string
The Hamming weight operation can be interpreted as a conversion from the unary numeral system to binary numbers. The population count of a bitstring is
Hamming_weight
Type of data structure
be "unary". Examples are the negative sign (when nothing is put on the left of it) and the "logical NOT" (exclamation mark, !). Sender of unary operators
C++_classes
Topics referred to by the same term
languages) An n-ary code An n-ary Gray code An n-ary Huffman code An n-ary tree n- (disambiguation)#Mathematics, science and technology Unary (disambiguation)
N-ary
Type of analog-to-digital converter
value (the collected outputs from the comparators can be thought of as a unary value). Flash converters are high-speed compared to many other ADCs, which
Flash_ADC
Basic programming language construct
unary operators, with a few supporting more operands, such as the ?: operator in C, which is ternary. There are prefix unary operators, such as unary
Operator (computer programming)
Operator_(computer_programming)
Esoteric programming language
of software in relation to hardware", and ? was substituted for ⊻ as the unary exclusive-or operator to "correctly express the average person's reaction
INTERCAL
Typographical symbol (*)
name. In Ruby and Python, the asterisk has two specific uses. First, the unary * operator applied to a list object inside a function call will expand that
Asterisk
Esoteric programming language
The number 0 is created by +[], where [] is the empty array and + is the unary plus, used to convert the right side to a numeric value (zero here). The
JSFuck
File format for block-based Gzip compression
coding Arithmetic Asymmetric numeral systems Golomb Huffman Adaptive Canonical Modified Range Shannon Shannon–Fano Shannon–Fano–Elias Tunstall Unary Universal
BGZF
Computer technology
"Burrows-Wheeler Transform and combination of Move-to-Front coding and Run Length Encoding for lossless audio coding". 2014 9th International Conference on Computer
Silence_compression
Programming construct
recently, symbols (accessed via the literal unary indicator :) can also be converted to Procs. Using Ruby's unary & operator—equivalent to calling to_proc
Function_object
Theory of relational databases
stored in the database) into a single output relation (the query results). Unary operators accept a single relation as input. Examples include operators
Relational_algebra
Numeral system in which every non-negative integer can be represented in exactly one way
are possible means that the decimal system is not bijective. However, the unary numeral system, with only one digit, is bijective. A bijective base-k numeration
Bijective_numeration
Symbol affixed to a variable name
"$" is a unary operator that translates the name of a variable into its contents. While this may seem similar to a sigil, it is properly a unary operator
Sigil_(computer_programming)
Mathematical operation
operation is called a binary operation and the operands form an ordered pair. A unary operation is an operation of arity one that has only one operand; for example
Algebraic_operation
One-way software control-flow statement
leading to unmaintainable spaghetti code. Some programming style coding standards, for example the GNU Pascal Coding Standards, recommend against the use
Goto
Algorithmic complexity class
will not use more. The same problem with the number of steps written in unary is P-complete. Other examples of EXPTIME-complete problems include the problem
EXPTIME
Constructed language
the whole pattern is a new symbol of unknown meaning). In introducing =, unary notation is shown for numbers: . = 1, . . = 2, and so on. This progresses
Lincos_language
Form of text that defines C code
integer constants, but the same effect can often be obtained by using a unary negation operator "-". The enumerated type, specified with the enum keyword
C_syntax
Set of marks along a ruler such that no two pairs of marks are the same distance apart
optimal Golomb rulers (OGRs) of arbitrary order n (where n is given in unary) is unknown.[clarification needed] In the past there was some speculation
Golomb_ruler
Rules defining correctly structured Java programs
variables, but has data members which are also regarded as global variables. All code belongs to classes and all values are objects. The only exception is the
Java_syntax
Property of operations
not idempotent, but ¬ ∘ ¬ {\displaystyle \neg \circ \neg } is. Similarly, unary negation − ( ⋅ ) {\displaystyle -(\cdot )} of real numbers is not idempotent
Idempotence
Multi-paradigm programming language
that age is a functional property with an integer value, that lives is a unary relation over strings, and that dayOfBirth is a functional property with
Go!_(programming_language)
Computer operation which manipulates invidual bits of data
(i.e., the rightmost) one. The bitwise NOT, or bitwise complement, is a unary operation that performs logical negation on each bit, forming the ones'
Bitwise_operation
Programming language
the expected result bool (true, false) int (literals: 255, 0377, 0xFF), unary minus as ~ (as in ML) double char 'a' string "abc" prefix @ or none means
ATS_(programming_language)
Marker used in SQL databases to indicate a value does not exist
feature F571 "Truth value tests" that introduces three additional logical unary operators (six in fact, if we count their negation, which is part of their
Null_(SQL)
Elementary cellular automaton
exponential time overhead because the Turing machine's tape is encoded with a unary numeral system. Neary and Woods (2006) presented a different construction
Rule_110
Prototype-based programming language
is similar to that of Smalltalk. Three kinds of messages are available: unary receiver slot_name binary receiver + argument keyword receiver keyword:
Self_(programming_language)
Result of multiplying four instances of a number together
Self Sum-product Digit product Multiplicative digital root Sum-product Coding-related Meertens Other Dudeney Factorion Kaprekar Kaprekar's constant Keith
Fourth_power
Object which stores memory addresses in a computer program
pointer, the behavior of the unary * operator is undefined... Among the invalid values for dereferencing a pointer by the unary * operator are a null pointer
Pointer (computer programming)
Pointer_(computer_programming)
Set of objects whose state must satisfy limits
reducts of homogenous undirected graphs, all first-order reducts of all unary structures, all CSPs in the complexity class MMSNP. Most classes of CSPs
Constraint satisfaction problem
Constraint_satisfaction_problem
Type information inspection taking place at runtime
are thrown when the expression for typeid() is the result of applying the unary * operator on a null pointer. Whether an exception is thrown for other null
Run-time_type_information
Type of types in a type system
programming languages. ∗ → ∗ {\displaystyle *\rightarrow *} is the kind of a unary type constructor, e.g., of a list type constructor. ∗ → ∗ → ∗ {\displaystyle
Kind_(type_theory)
Control flow operator in functional programming
making use of call/cc, that printed all natural numbers sequentially in unary representation: ``r`ci`.*`ci. This program and the apparent mystery surrounding
Call-with-current-continuation
Call-with-current-continuation
Variable used in a concurrent system
deadlocks. However, the rest of this section refers to semaphores with unary V and P operations, unless otherwise specified. To avoid starvation, a semaphore
Semaphore_(programming)
Number whose cube is a given number
radical form Computing the Cube Root, Ken Turkowski, Apple Technical Report #KT-32, 1998. Includes C source code. Weisstein, Eric W. "Cube Root". MathWorld.
Cube_root
High-level programming language
interpreted as an empty code block instead of an empty object, and the empty array is cast to a number by the remaining unary + operator. If the expression
JavaScript
Time signal transmitter in Russia
73333; 37.66333 (RBU transmitter)). It transmits a continuous 10 kW time code on 66+2⁄3 kHz. This is commonly written as 66.66 or 66.666 kHz, but is actually
RBU_(radio_station)
Programming language
pre-compiler written in SBASIC source code itself. The system would read SBASIC source, write the corresponding 6th Edition code, and then compile that output
Dartmouth_BASIC
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