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NULL SIGN

  • Null sign
  • Sign representing zero or empty set

    The null sign (∅) is a symbol often used in mathematics for denoting the empty set. The same letter in linguistics represents zero, the lack of an element

    Null sign

    Null sign

    Null_sign

  • Null symbol
  • Topics referred to by the same term

    up null or ␀ in Wiktionary, the free dictionary. Null symbol may refer to: Null character, U+0000 <control-0000> , Null sign (∅), the empty set Null (SQL)

    Null symbol

    Null_symbol

  • Null (mathematics)
  • Mathematical representation of absence of a value

    otherwise. 0 Null sign ""null"". The Oxford English Dictionary, Draft Revision March 2004. 2004. Retrieved 2007-04-05. "Definition of "null" adjective from

    Null (mathematics)

    Null_(mathematics)

  • Ø
  • Letter in several Latin-script alphabets

    the open-mid back unrounded vowel [ʌ]. Ø (or more properly, the similar null sign, ∅), is used in English as a short for "no" or "none", but this usage

    Ø

    Ø

    Ø

  • Null character
  • Control character with value 0

    The null character is a control character with the value zero. Many character sets include a code point for a null character – including Unicode (Universal

    Null character

    Null_character

  • Phi
  • Twenty-first letter in the Greek alphabet

    for example, "⌀14" means the diameter of the circle is 14 units. The null sign, ∅, which denotes the empty set in mathematics is sometimes also erroneously

    Phi

    Phi

    Phi

  • Statistical hypothesis test
  • Method of statistical inference

    null hypothesis, then you do not reject the null hypothesis; if the sample data are inconsistent with the null hypothesis, then you reject the null hypothesis

    Statistical hypothesis test

    Statistical_hypothesis_test

  • Silent letter
  • Letter that is not pronounced

    letter is often symbolised with a null sign U+2205 ∅ EMPTY SET, which resembles the Scandinavian letter Ø. A null or zero is an unpronounced or unwritten

    Silent letter

    Silent_letter

  • Glossary of mathematical symbols
  • preorder, when it would be confusing or not convenient to use < and >. ∅    (null sign) Denotes the empty set, and is more incorrectly written as ⁠ ∅ {\displaystyle

    Glossary of mathematical symbols

    Glossary_of_mathematical_symbols

  • Sign test
  • Statistical test with teststatistic the number of signs of one type

    example of the sign test for matched pairs. Data are collected on the length of the left hind leg and left foreleg for 10 deer. The null hypothesis is

    Sign test

    Sign_test

  • Wilcoxon signed-rank test
  • Statistical hypothesis test

    under the null hypothesis is equal to the number of sign combinations that yield T = t {\displaystyle T=t} divided by the number of possible sign combinations

    Wilcoxon signed-rank test

    Wilcoxon_signed-rank_test

  • Three-way comparison
  • Computing operation which compares two values

    In some SQL dialects, <=> is used as a null-safe join operator which will match operands if both are null. Sign function Three-valued logic Different machines

    Three-way comparison

    Three-way_comparison

  • P-value
  • Function of the observed sample results

    In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed,

    P-value

    P-value

  • ??=
  • Topics referred to by the same term

    ??= may refer to: The trigraph which represents the number sign in C and C++ The null coalescing assignment operator, in some programming languages Search

    ??=

    ??=

  • Latin International keyboard layout
  • Variant of the arrangement keyboard keys

    explanations are given here: ⌀ (AltGr+6): This is the diameter sign (neither the null sign ∅ nor the Danish letter Ø). ′ (AltGr+s) and ″ (AltGr+d): These

    Latin International keyboard layout

    Latin_International_keyboard_layout

  • Type I and type II errors
  • Concepts from statistical hypothesis testing

    of a true null hypothesis in statistical hypothesis testing. A type II error, or a false negative, is the incorrect acceptance of a false null hypothesis

    Type I and type II errors

    Type_I_and_type_II_errors

  • Statistics
  • Study of collection and analysis of data

    an alternative to an idealized null hypothesis of no relationship between two data sets. Rejecting or disproving the null hypothesis is done using statistical

    Statistics

    Statistics

    Statistics

  • Exclamation mark
  • Punctuation mark (!)

    language, "!!" ("double-bang") is the not-null assertion operator, used to override null safety so as to allow a null pointer exception. In the ML programming

    Exclamation mark

    Exclamation_mark

  • Trent Reznor
  • American musician (born 1965)

    two albums, Ghosts I–IV and The Slip, independently on his own label, The Null Corporation. In 2009, Nine Inch Nails went on hiatus following the Wave Goodbye

    Trent Reznor

    Trent Reznor

    Trent_Reznor

  • Unter Null
  • American singer

    Unter Null (from German; Eng.: "Below Zero") is an American dark electro-industrial music act, founded in 1998 as a solo aggrotech project by Erica Dunham

    Unter Null

    Unter Null

    Unter_Null

  • //
  • Topics referred to by the same term

    An empty regular expression, in ed-style syntax The logical defined-or (null coalescing) operator in Perl The prefix for the authority component of a

    //

    //

  • Mann–Whitney U test
  • Nonparametric test of the null hypothesis

    or Wilcoxon–Mann–Whitney test) is a nonparametric statistical test of the null hypothesis that randomly selected values X and Y from two populations have

    Mann–Whitney U test

    Mann–Whitney_U_test

  • Chi-squared test
  • Statistical hypothesis test

    test is valid when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof

    Chi-squared test

    Chi-squared test

    Chi-squared_test

  • Kolmogorov–Smirnov test
  • Statistical test comparing two probability distributions

    distribution functions of two samples. The null distribution of this statistic is calculated under the null hypothesis that the sample is drawn from the

    Kolmogorov–Smirnov test

    Kolmogorov–Smirnov test

    Kolmogorov–Smirnov_test

  • False discovery rate
  • Statistical method for handling multiple comparisons

    discovery rate (FDR) is a method of conceptualizing the rate of type I errors in null hypothesis testing when conducting multiple comparisons. FDR-controlling

    False discovery rate

    False_discovery_rate

  • Yen and yuan sign
  • Currency sign

    The yen and yuan sign (¥) is a currency sign used to represent the base units yen (Japanese yen) and the Chinese yuan (renminbi) when writing in the Latin

    Yen and yuan sign

    Yen_and_yuan_sign

  • American Sign Language
  • Sign language predominantly in the US

    ISBN 978-1-56368-283-4. Lillo-Martin, Diane (November 1986). "Two Kinds of Null Arguments in American Sign Language". Natural Language and Linguistic Theory. 4 (4): 415

    American Sign Language

    American Sign Language

    American_Sign_Language

  • Keith Null
  • American football player (born 1985)

    Keith Aaron Null (born September 24, 1985) is an American former professional football player who was a quarterback in the National Football League (NFL)

    Keith Null

    Keith_Null

  • Stokoe notation
  • Phonemic script for sign languages

    corresponding ASCII character, as used in Mandel (1993). The tab symbols are a null sign for a neutral location and iconic symbols for parts of the head, arm,

    Stokoe notation

    Stokoe notation

    Stokoe_notation

  • Statistical significance
  • Concept in inferential statistics

    \alpha } , is the probability of the study rejecting the null hypothesis, given that the null hypothesis is true; and the p-value of a result, p {\displaystyle

    Statistical significance

    Statistical_significance

  • Comparison of data-serialization formats
  • schema-less) binary compression standard for XML. All basic Ion types have a null variant, as its 0xXf tag. Any tag beginning with 0x0X other than 0x0f defines

    Comparison of data-serialization formats

    Comparison_of_data-serialization_formats

  • Case Keenum
  • American football player (born 1988)

    to reach the 20,000-yards plateau in career total offense. After being signed by the Houston Texans as an undrafted free agent in 2012, Keenum threw for

    Case Keenum

    Case Keenum

    Case_Keenum

  • PKCS 7
  • Cryptography standard

    -connect example.org:443 -host example.org 2>/dev/null | openssl x509 > example.org.cer 2>/dev/null $ openssl crl2pkcs7 -nocrl -certfile example.org.cer

    PKCS 7

    PKCS_7

  • Epistasis
  • Dependence of a gene mutation's phenotype on mutations in other genes

    If a fitness landscape has sign epistasis but no reciprocal sign epistasis then it is called semismooth. Reciprocal sign epistasis is a necessary condition

    Epistasis

    Epistasis

    Epistasis

  • Red–black tree
  • Self-balancing binary search tree data structure

    (non-NULL) black node (of black height ≥ 1), symbolises the color red or black of a non-NULL node, but the same color throughout the same diagram. NULL nodes

    Red–black tree

    Red–black tree

    Red–black_tree

  • Syllable
  • Unit of speech sounds

    special zero consonant to represent a null onset. As an example, in Hangul, the alphabet of the Korean language, a null onset is represented with ㅇ at the

    Syllable

    Syllable

  • Replication crisis
  • Observed inability to reproduce scientific studies

    are presented here. In the most common case, null hypothesis testing, there are two hypotheses, a null hypothesis H 0 {\displaystyle H_{0}} and an alternative

    Replication crisis

    Replication crisis

    Replication_crisis

  • Void (law)
  • Absence of legal effect

    jurisdictions where a person signs a contract under duress, that contract is treated as being void ab initio. The frequent combination "null and void" is a legal

    Void (law)

    Void_(law)

  • Boolean data type
  • Data having only values "true" or "false"

    condition-testing statements (if, while) assume that zero (and hence a NULL pointer or a null string terminator '\0' also) is false and all other values are true

    Boolean data type

    Boolean data type

    Boolean_data_type

  • Python (programming language)
  • General-purpose programming language

    side of the equal sign in an assignment statement. This statement expects an iterable object on the right-hand side of the equal sign to produce the same

    Python (programming language)

    Python (programming language)

    Python_(programming_language)

  • Yom Kippur
  • Holiest day in Judaism

    Kippur), we publicly renounce. Let them all be relinquished and abandoned, null and void, neither firm nor established. Let our personal vows, pledges and

    Yom Kippur

    Yom Kippur

    Yom_Kippur

  • Polyglot (computing)
  • Computer program or file valid in multiple programming languages or file formats

    "Hello, world!\n"true/* 2> /dev/null | grep -v true*/; return 0; } #define c /* main #*/ Note the following: A hash sign marks a preprocessor statement

    Polyglot (computing)

    Polyglot_(computing)

  • Causal structure
  • Causal relationships between points in a manifold

    {\displaystyle X} is: timelike if g ( X , X ) < 0 {\displaystyle \,g(X,X)<0} null or lightlike if g ( X , X ) = 0 {\displaystyle \,g(X,X)=0} spacelike if g

    Causal structure

    Causal_structure

  • NOP (code)
  • Machine instruction that indicates to a computer to do nothing

    NOP or null statement if it has no effect. Null statements may be required by the syntax of some languages in certain contexts. In Ada, the null statement

    NOP (code)

    NOP_(code)

  • Zero copula
  • Lacking or omission of a "to be" verb, common in some languages and stylistic in others

    Zero copula, also known as null copula, is a linguistic phenomenon whereby the subject is joined to the predicate without overt marking of this relationship

    Zero copula

    Zero copula

    Zero_copula

  • Power Query
  • ETL tool developed by Microsoft

    value compatible with the assertion. Assertions can be preceded by nullable to include null in the allowed values. Power Query supports the C block (/* ..

    Power Query

    Power Query

    Power_Query

  • Japan–Korea Treaty of 1910
  • 1910 formal annexation of Korea by Japan

    government held the position that the annexation treaty was null and void at the time of signing, which the Japanese government contested.[citation needed]

    Japan–Korea Treaty of 1910

    Japan–Korea Treaty of 1910

    Japan–Korea_Treaty_of_1910

  • Jeffrey Epstein
  • American financier and child sex offender (1953–2019)

    know about Jeffrey Epstein, according to key victims' attorney". ABC News. null (December 19, 2025). "Epstein Release Reveals New Photos but Many Files Are

    Jeffrey Epstein

    Jeffrey Epstein

    Jeffrey_Epstein

  • Certificate signing request
  • Message sent to a certificate authority to apply for a certificate

    SEQUENCE 154:d=4 hl=2 l= 9 prim: OBJECT :rsaEncryption 165:d=4 hl=2 l= 0 prim: NULL 167:d=3 hl=4 l= 271 prim: BIT STRING 442:d=2 hl=2 l= 0 cons: cont [ 0 ] 444:d=1

    Certificate signing request

    Certificate_signing_request

  • Iran
  • Country in West Asia

    Donald Trump withdrew from the deal and new sanctions were imposed. This nulled the economic provisions and brought Iran to nuclear threshold status. In

    Iran

    Iran

    Iran

  • INI file
  • Configuration file format

    two function calls above. If the argument supplied for this parameter is NULL, the default is an empty string, "". Under Unix, many different configuration

    INI file

    INI_file

  • Pro-drop language
  • Language in which certain pronouns may sometimes be omitted

    "pronoun-dropping" is part of the larger topic of zero or null anaphora. The connection between pro-drop languages and null anaphora relates to the fact that a dropped

    Pro-drop language

    Pro-drop_language

  • American Sign Language grammar
  • Linguistic description of the structure of ASL

    American Sign Language (ASL) has grammar just like any other sign language or spoken language. Sign languages are produced in the visual-gestural modality

    American Sign Language grammar

    American_Sign_Language_grammar

  • Matthew Stafford
  • American football player (born 1988)

    2025. Shelton, J.C. (March 31, 2023). "Recruiting experts project top QB to sign with Georgia football". UGAWire. USA Today. Archived from the original on

    Matthew Stafford

    Matthew Stafford

    Matthew_Stafford

  • Harry Styles
  • English singer, songwriter and actor (born 1994)

    stated that the group would be "null and void" if he did not obey them. He expressed that he "burst into tears" when he signed a solo contract without these

    Harry Styles

    Harry Styles

    Harry_Styles

  • Israel
  • Country in West Asia

    Security Council declaring both the Jerusalem Law and the Golan Heights Law null and void. Several waves of Ethiopian Jews immigrated to Israel since the

    Israel

    Israel

    Israel

  • Null Device
  • US electronic pop band

    Null Device is an electronic band from Wisconsin, USA. Founded in 1995 by students at the University of Wisconsin, Null Device initially focused on instrumental

    Null Device

    Null_Device

  • 2026 South Ossetian presidential election
  • Kaja Kallas stated that the outcome of the elections should be considered null and void, highlighting continued Russian attempts in consolidating further

    2026 South Ossetian presidential election

    2026 South Ossetian presidential election

    2026_South_Ossetian_presidential_election

  • C data types
  • Data types supported by the C programming language

    the concept of a null pointer to denote a pointer that does not refer to any valid data. The macro NULL is often used in place of a null pointer, relying

    C data types

    C_data_types

  • World War I
  • Global conflict from 1914 to 1918

    cancelled. David Andelman notes "Refusing to pay doesn't make an agreement null and void. The bonds, the agreement, still exist." Thus, following the Second

    World War I

    World War I

    World_War_I

  • Al Hilal SFC
  • Association football club in Saudi Arabia

    competition, and all previous matches played by them shall be considered "null and void" and would not be considered in determining the final group rankings

    Al Hilal SFC

    Al Hilal SFC

    Al_Hilal_SFC

  • Ben 10
  • American animation media franchise

    Vreedle Brothers are "summons" in the game. Additionally, Bellwood and the Null Void are included as battle arenas. Kevin also appears as a "summon" in the

    Ben 10

    Ben 10

    Ben_10

  • Jimmy Garoppolo
  • American football player (born 1991)

    1993. On June 2, 2014, Garoppolo signed a four-year, $3,483,898 contract with $1,103,744 guaranteed and an $853,744 signing bonus. During Week 4 against the

    Jimmy Garoppolo

    Jimmy Garoppolo

    Jimmy_Garoppolo

  • The Killer (2023 soundtrack)
  • 2023 film score by Trent Reznor and Atticus Ross

    Reznor and Atticus Ross. The soundtrack was released through Reznor's The Null Corporation label on November 10, 2023, coinciding with its streaming release

    The Killer (2023 soundtrack)

    The_Killer_(2023_soundtrack)

  • List of Yawara! episodes
  • about her Yugoslavia promise to Fujigo, but Yawara considers the promise null as Fujiko is not competing there now. Jody leaves a message that she is completely

    List of Yawara! episodes

    List_of_Yawara!_episodes

  • Zeni Geva
  • Japanese noise rock band

    Zeni Geva is a Japanese noise rock band featuring singer and guitarist KK Null and drummer Tatsuya Yoshida. Formed in Tokyo in 1987 as a quartet, the group's

    Zeni Geva

    Zeni Geva

    Zeni_Geva

  • Shapefile
  • Geospatial vector data format

    shape type, which must be either the shape type given in the file header or Null. The following are the possible shape types: The index contains positional

    Shapefile

    Shapefile

    Shapefile

  • Ottoman Empire
  • Former empire (c. 1299–1922)

    declared that all the deeds of the Ottoman regime in Constantinople were null and void as of 16 March 1920, the date of the occupation of Constantinople

    Ottoman Empire

    Ottoman Empire

    Ottoman_Empire

  • From the river to the sea
  • Political phrase related to the Palestine region

    from abandoning any inch of, and the Israeli presence in Palestine is a null existence, which is forbidden by law to recognize. Islamists have used a

    From the river to the sea

    From the river to the sea

    From_the_river_to_the_sea

  • Simone Biles
  • American artistic gymnast (born 1997)

    diploma in mid-2015. Biles verbally committed to UCLA on August 4, 2014, and signed a National Letter of Intent in November 2014, planning to defer enrollment

    Simone Biles

    Simone Biles

    Simone_Biles

  • F-test
  • Statistical hypothesis test

    and checks if it follows an F-distribution. This check is valid if the null hypothesis is true and standard assumptions about the errors (ε) in the data

    F-test

    F-test

    F-test

  • Henry VIII
  • King of England from 1509 to 1547

    Leviticus 20:21, a justification Thomas Cranmer used to declare the marriage null. Martin Luther, on the other hand, had initially argued against the annulment

    Henry VIII

    Henry VIII

    Henry_VIII

  • 0
  • Whole number

    "none" are often used. The English words "nought" or "naught", "nil", and null are also synonymous. It is often called "oh" in the context of reading out

    0

    0

  • Power (statistics)
  • Term in statistical hypothesis testing

    statistics, power is the probability of detecting an effect (i.e. rejecting the null hypothesis) given that some prespecified effect actually exists using a given

    Power (statistics)

    Power_(statistics)

  • Energy condition
  • Mathematics of general relativity

    alternative energy conditions in common use: The null energy condition stipulates that for every future-pointing null vector field k → {\displaystyle {\vec {k}}}

    Energy condition

    Energy_condition

  • Dead Sara
  • American hard rock band

    band's line-up finally coalesced in 2009 with Sean Friday on drums and Chris Null on bass, both of whom previously played with Sonny Moore (currently known

    Dead Sara

    Dead Sara

    Dead_Sara

  • Spacetime
  • Mathematical model combining space and time

    moving at the speed of light is zero. Such an interval is termed lightlike or null. A photon arriving in our eye from a distant star will not have aged, despite

    Spacetime

    Spacetime

    Spacetime

  • Adolf Hitler
  • Dictator of Germany from 1933 to 1945

    Europe. Germany suffered wholesale destruction, characterised as Stunde Null (Zero Hour). Hitler's policies inflicted human suffering on an unprecedented

    Adolf Hitler

    Adolf Hitler

    Adolf_Hitler

  • MS NOW
  • American cable television news channel

    by Soledad O'Brien and a "live" computer-generated character called Dev Null played by Leo Laporte. At launch, the network positioned itself as being

    MS NOW

    MS NOW

    MS_NOW

  • List of Unicode characters
  • (Unicode block) Shorthand Format Controls (Unicode block) Sutton SignWriting: Sutton SignWriting (Unicode block) Supplemental Mathematical Operators (Unicode

    List of Unicode characters

    List of Unicode characters

    List_of_Unicode_characters

  • Question mark
  • Typographic character indicating a question (?)

    conditions. In C# 2.0, the ? modifier is used to handle nullable data types and ?? is the null coalescing operator. In Java, ? can represent a wildcard

    Question mark

    Question_mark

  • Lilliefors test
  • Statistical test for normality of data

    Kolmogorov–Smirnov test. It is used to test the null hypothesis that data come from a normally distributed population, when the null hypothesis does not specify which

    Lilliefors test

    Lilliefors_test

  • X.509
  • Standard for cryptographic certificates

    implementation errors with X.509 that allow e.g. falsified subject names using null-terminated strings or code injection attacks in certificates By using illegal

    X.509

    X.509

  • C Sharp syntax
  • Set of rules defining correctly structured programs for the C# programming language

    extends C# with non-nullable types that checks so the variables of nullable types that has been set as non-nullable are not null. If is null then an exception

    C Sharp syntax

    C Sharp syntax

    C_Sharp_syntax

  • Anne Boleyn
  • Queen of England from 1533 to 1536

    Archbishop of Canterbury Thomas Cranmer declared Henry and Catherine's marriage null and void. Five days later, he declared Henry and Anne's marriage valid. Pope

    Anne Boleyn

    Anne Boleyn

    Anne_Boleyn

  • Islamic State
  • Salafi jihadist militant organisation

    "The legality of all emirates, groups, states and organisations becomes null by the expansion of the khilafah's [caliphate's] authority and the arrival

    Islamic State

    Islamic State

    Islamic_State

  • Normalnull
  • Outdated official vertical datum used in Germany

    Normalnull ("standard zero") or Normal-Null (short N. N. or NN) is an outdated official vertical datum used in Germany. Elevations using this reference

    Normalnull

    Normalnull

    Normalnull

  • List of Fate/Grand Order characters
  • Byibyi Dobai) / Golden BB (ゴールデンBB, Gōruden Byibyi) Voiced by: Noriko Shitaya Null Beast (無の獣, Mu no Kemono) / Beast (ビースト, Bīsuto) – Anki Ereshkigal (アンキ・エレシュキガル

    List of Fate/Grand Order characters

    List_of_Fate/Grand_Order_characters

  • Java
  • Island and region in Indonesia

    Rizal, Yan; Franciscus, Robert G.; Larick, Roy R.; Heizler, Matthew; Aswan, null; Eaves, K. Lindsay; Marsh, Hannah E. (2011). "New 1.5 million-year-old Homo

    Java

    Java

    Java

  • Linear B
  • Syllabic script used for writing Mycenaean Greek

    khrusos (χρυσός, "gold"). The vowels of these signs have been called "empty", "null", "extra", "dead", "dummy" and other terms by various writers as they represent

    Linear B

    Linear B

    Linear_B

  • Student's t-test
  • Statistical hypothesis test

    in which the test statistic follows a Student's t-distribution under the null hypothesis. It is most commonly applied when the test statistic would follow

    Student's t-test

    Student's_t-test

  • C23 (C standard revision)
  • C programming language standard, current revision

    decimal floating-point arithmetic (see "other" group). Add nullptr_t, a null pointer type. Add _BitInt(N) and unsigned _BitInt(N) types for bit-precise

    C23 (C standard revision)

    C23_(C_standard_revision)

  • Black hole
  • Compact astronomical body

    singularity would be stretched and squeezed by an infinite amount. They are also null singularities, meaning that a photon could travel parallel to them without

    Black hole

    Black hole

    Black_hole

  • Democracy
  • Government system where political power lies with the people

    worst abuses of serfdom. In force for less than 19 months, it was declared null and void by the Grodno Sejm that met in 1793. Nonetheless, the 1791 Constitution

    Democracy

    Democracy

  • Semipredicate problem
  • Edge case where the signalling of failure is ambiguous

    invalid pointer is used. Whether a pointer is null or not is another example of the predicate problem; null may be a flag indicating failure or the value

    Semipredicate problem

    Semipredicate_problem

  • List of Internet top-level domains
  • to enumerate here. .bbs .chan .cyb .dyn .geek .gopher .indy .libre .neo .null .o .oss .oz .parody .pirate OpenNIC .fur FurNIC .lib .coin .emc .bazar Emercoin

    List of Internet top-level domains

    List_of_Internet_top-level_domains

  • Yoichi Ochiai
  • Japanese academic, artist, and entrepreneur

    2024 / Hokkaido, BiVi Shin Sapporo) The Tetralemma of Null: A Human Story Inducted into Signs – Retrospective (Jun.28 – Sep.15, 2025 / Gifu, Kusakabe

    Yoichi Ochiai

    Yoichi Ochiai

    Yoichi_Ochiai

  • C string handling
  • Handling of strings in the C programming language

    character strings, the standard library uses the convention that strings are null-terminated: a string of n characters is represented as an array of n + 1

    C string handling

    C_string_handling

  • Pseudo-Euclidean space
  • Space in mathematics and theoretical physics

    quadratic form. If 1 ≤ i ≤ k < j ≤ n, then q(ei + ej) = 0, so that ei + ej is a null vector. In a pseudo-Euclidean space with k < n, unlike in a Euclidean space

    Pseudo-Euclidean space

    Pseudo-Euclidean_space

  • Cryptanalysis of the Lorenz cipher
  • Aspect of WWII Allied intelligence gathering

    wheels did not move on, the differenced psi character (Δψ) would be the null character ('/' at Bletchley Park). When XOR-ed with any character, this character

    Cryptanalysis of the Lorenz cipher

    Cryptanalysis_of_the_Lorenz_cipher

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