See certain event on Wiktionary
{
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{
"ref": "1995, Michael Pecht, Product Reliability, Maintainability, and Supportability Handbook, CRC Press, page 17:",
"text": "Measure 0 is assigned to an impossible event, and measure 1 is assigned to a certain (sure) event. A certain event is denoted as #x5C;Omega; an impossible event, as #x5C;empty.",
"type": "quote"
},
{
"ref": "2002, Andrew G. Bronevich, Alexander N. Karkishchenko, “The structure of fuzzy measure families induced by upper and lower probabilities”, in Carlo Bertoluzza, María Á. Gil, Dan A. Ralescu, editors, Statistical Modeling, Analysis and Management of Fuzzy Data, Springer, page 165:",
"text": "Hence the event A#x5F;1#x5C;capA#x5F;2#x5C;cap#x5C;dots#x5C;capA#x5F;k will be a certain event too, i.e. P(A#x5F;1#x5C;capA#x5F;2#x5C;cap#x5C;dots#x5C;capA#x5F;k)#x3D;1.",
"type": "quote"
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{
"ref": "2018, Athanasios Christou Micheas, Theory of Stochastic Objects, Taylor & Francis (CRC Press / Chapman & Hall), unnumbered page:",
"text": "In probability theory, events are sets with a non-negative length that is at most one, since we assume that the sample space #x5C;Omega is the certain event and should be assigned the largest length, i.e., 1 (probability 100%).",
"type": "quote"
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"An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;"
],
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"(probability theory) An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;"
],
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"mathematics",
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"_dis": "18 82",
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"glosses": [
"An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;\n(more formally) the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1).",
"the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1)."
],
"id": "en-certain_event-en-noun-eFquj1kd",
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"(probability theory) An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;"
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"translations": [
{
"_dis1": "46 54",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "bìrán shìjiàn",
"sense": "event that is certain to occur",
"word": "必然事件"
}
],
"word": "certain event"
}
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"word": "impossible event"
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"ref": "1995, Michael Pecht, Product Reliability, Maintainability, and Supportability Handbook, CRC Press, page 17:",
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"ref": "2002, Andrew G. Bronevich, Alexander N. Karkishchenko, “The structure of fuzzy measure families induced by upper and lower probabilities”, in Carlo Bertoluzza, María Á. Gil, Dan A. Ralescu, editors, Statistical Modeling, Analysis and Management of Fuzzy Data, Springer, page 165:",
"text": "Hence the event A#x5F;1#x5C;capA#x5F;2#x5C;cap#x5C;dots#x5C;capA#x5F;k will be a certain event too, i.e. P(A#x5F;1#x5C;capA#x5F;2#x5C;cap#x5C;dots#x5C;capA#x5F;k)#x3D;1.",
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"ref": "2018, Athanasios Christou Micheas, Theory of Stochastic Objects, Taylor & Francis (CRC Press / Chapman & Hall), unnumbered page:",
"text": "In probability theory, events are sets with a non-negative length that is at most one, since we assume that the sample space #x5C;Omega is the certain event and should be assigned the largest length, i.e., 1 (probability 100%).",
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"glosses": [
"An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;"
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"(probability theory) An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;"
],
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"mathematics",
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"glosses": [
"An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;\n(more formally) the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1).",
"the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1)."
],
"links": [
[
"probability theory",
"probability theory"
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"event",
"event"
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"contain"
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"possible",
"possible"
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[
"outcome",
"outcome"
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"a priori",
"a priori"
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[
"certain",
"certain"
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"occur",
"occur"
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"entire",
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"(probability theory) An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;"
],
"topics": [
"mathematics",
"probability-theory",
"sciences"
]
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "bìrán shìjiàn",
"sense": "event that is certain to occur",
"word": "必然事件"
}
],
"word": "certain event"
}
Download raw JSONL data for certain event meaning in All languages combined (3.7kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.