@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix schema: <http://schema.org/> .
@prefix cc: <http://creativecommons.org/ns#> .
@prefix geo: <http://www.opengis.net/ont/geosparql#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix wd: <https://wikibase.ronzz.org/entity/> .
@prefix data: <https://wikibase.ronzz.org/wiki/Special:EntityData/> .
@prefix wds: <https://wikibase.ronzz.org/entity/statement/> .
@prefix wdref: <https://wikibase.ronzz.org/reference/> .
@prefix wdv: <https://wikibase.ronzz.org/value/> .
@prefix wdt: <https://wikibase.ronzz.org/prop/direct/> .
@prefix wdtn: <https://wikibase.ronzz.org/prop/direct-normalized/> .
@prefix p: <https://wikibase.ronzz.org/prop/> .
@prefix ps: <https://wikibase.ronzz.org/prop/statement/> .
@prefix psv: <https://wikibase.ronzz.org/prop/statement/value/> .
@prefix psn: <https://wikibase.ronzz.org/prop/statement/value-normalized/> .
@prefix pq: <https://wikibase.ronzz.org/prop/qualifier/> .
@prefix pqv: <https://wikibase.ronzz.org/prop/qualifier/value/> .
@prefix pqn: <https://wikibase.ronzz.org/prop/qualifier/value-normalized/> .
@prefix pr: <https://wikibase.ronzz.org/prop/reference/> .
@prefix prv: <https://wikibase.ronzz.org/prop/reference/value/> .
@prefix prn: <https://wikibase.ronzz.org/prop/reference/value-normalized/> .
@prefix wdno: <https://wikibase.ronzz.org/prop/novalue/> .

data:Q156 a schema:Dataset ;
	schema:about wd:Q156 ;
	cc:license <https://creativecommons.org/licenses/by-sa/4.0/> ;
	schema:softwareVersion "1.0.0" ;
	schema:version "370"^^xsd:integer ;
	schema:dateModified "2026-08-17T19:10:25Z"^^xsd:dateTime ;
	wikibase:statements "4"^^xsd:integer ;
	wikibase:sitelinks "0"^^xsd:integer ;
	wikibase:identifiers "0"^^xsd:integer .

wd:Q156 a wikibase:Item ;
	wdt:P1 wd:Q4 ;
	wdt:P4 "$\\begin{aligned}\\text{Let } \\mathbf{x} = (x_1,\\dots,x_n)^\\top \\in \\mathbb{R}^n \\text{ be the input vector} \\\\\\text{Let } \\mathbf{w} = (w_1,\\dots,w_n)^\\top \\in \\mathbb{R}^n \\text{ be the weight vector} \\\\\\text{Let } b \\in \\mathbb{R} \\text{ be the scalar bias} \\\\\\text{The affine pre‑activation is } z = \\mathbf{w}^\\top \\mathbf{x} + b = \\sum_{i=1}^n w_i x_i + b \\\\\\text{Choose a non‑linear activation } \\sigma: \\mathbb{R} \\to \\mathbb{R} \\\\\\text{The artificial neuron output is } y = \\sigma(z) \\in \\mathbb{R} \\\\\\text{Typical activations: } \\sigma(z) = \\mathbf{1}_{z \\ge 0} \\text{ (step)}, \\quad \\sigma(z) = (1+e^{-z})^{-1} \\text{ (sigmoid)}, \\quad \\sigma(z) = \\max(0,z) \\text{ (ReLU)}\\end{aligned}$" ;
	wdt:P28 wd:Q147 ;
	wdt:P29 wd:Q5 ;
	p:P1 wds:Q156-4CF3E851-DBE8-438D-A912-F04218D201FA .

wds:Q156-4CF3E851-DBE8-438D-A912-F04218D201FA a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P1 wd:Q4 .

wd:Q156 p:P4 wds:Q156-0DD3824B-085B-4FEC-B4BC-7BEE3CCFBC4A .

wds:Q156-0DD3824B-085B-4FEC-B4BC-7BEE3CCFBC4A a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 "$\\begin{aligned}\\text{Let } \\mathbf{x} = (x_1,\\dots,x_n)^\\top \\in \\mathbb{R}^n \\text{ be the input vector} \\\\\\text{Let } \\mathbf{w} = (w_1,\\dots,w_n)^\\top \\in \\mathbb{R}^n \\text{ be the weight vector} \\\\\\text{Let } b \\in \\mathbb{R} \\text{ be the scalar bias} \\\\\\text{The affine pre‑activation is } z = \\mathbf{w}^\\top \\mathbf{x} + b = \\sum_{i=1}^n w_i x_i + b \\\\\\text{Choose a non‑linear activation } \\sigma: \\mathbb{R} \\to \\mathbb{R} \\\\\\text{The artificial neuron output is } y = \\sigma(z) \\in \\mathbb{R} \\\\\\text{Typical activations: } \\sigma(z) = \\mathbf{1}_{z \\ge 0} \\text{ (step)}, \\quad \\sigma(z) = (1+e^{-z})^{-1} \\text{ (sigmoid)}, \\quad \\sigma(z) = \\max(0,z) \\text{ (ReLU)}\\end{aligned}$" .

wd:Q156 p:P28 wds:Q156-80638920-0B3A-45F3-A24C-612B2F778099 .

wds:Q156-80638920-0B3A-45F3-A24C-612B2F778099 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P28 wd:Q147 .

wd:Q156 p:P29 wds:Q156-A255F3F9-3BFF-4E0F-858E-63FCAB216044 .

wds:Q156-A255F3F9-3BFF-4E0F-858E-63FCAB216044 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P29 wd:Q5 .

wd:Q156 rdfs:label "Formula: Artificial Neuron"@en ;
	skos:prefLabel "Formula: Artificial Neuron"@en ;
	schema:name "Formula: Artificial Neuron"@en .

wd:Q4 a wikibase:Item ;
	rdfs:label "mathematical expression"@en ;
	skos:prefLabel "mathematical expression"@en ;
	schema:name "mathematical expression"@en ;
	schema:description "a mathematical expression embedded on a page"@en .

wd:P1 a wikibase:Property ;
	rdfs:label "instance of"@en ;
	skos:prefLabel "instance of"@en ;
	schema:name "instance of"@en ;
	schema:description "that class of which this subject is a particular example and member"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#WikibaseItem> ;
	wikibase:directClaim wdt:P1 ;
	wikibase:claim p:P1 ;
	wikibase:statementProperty ps:P1 ;
	wikibase:statementValue psv:P1 ;
	wikibase:qualifier pq:P1 ;
	wikibase:qualifierValue pqv:P1 ;
	wikibase:reference pr:P1 ;
	wikibase:referenceValue prv:P1 ;
	wikibase:novalue wdno:P1 .

p:P1 a owl:ObjectProperty .

psv:P1 a owl:ObjectProperty .

pqv:P1 a owl:ObjectProperty .

prv:P1 a owl:ObjectProperty .

wdt:P1 a owl:ObjectProperty .

ps:P1 a owl:ObjectProperty .

pq:P1 a owl:ObjectProperty .

pr:P1 a owl:ObjectProperty .

wdno:P1 a owl:Class ;
	owl:complementOf _:b96ec5135b6832e1d84209d72460276b .

_:b96ec5135b6832e1d84209d72460276b a owl:Restriction ;
	owl:onProperty wdt:P1 ;
	owl:someValuesFrom owl:Thing .

wd:P4 a wikibase:Property ;
	rdfs:label "LaTeX source"@en ;
	skos:prefLabel "LaTeX source"@en ;
	schema:name "LaTeX source"@en ;
	schema:description "the LaTeX source of this mathematical expression"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#String> ;
	wikibase:directClaim wdt:P4 ;
	wikibase:claim p:P4 ;
	wikibase:statementProperty ps:P4 ;
	wikibase:statementValue psv:P4 ;
	wikibase:qualifier pq:P4 ;
	wikibase:qualifierValue pqv:P4 ;
	wikibase:reference pr:P4 ;
	wikibase:referenceValue prv:P4 ;
	wikibase:novalue wdno:P4 .

p:P4 a owl:ObjectProperty .

psv:P4 a owl:ObjectProperty .

pqv:P4 a owl:ObjectProperty .

prv:P4 a owl:ObjectProperty .

wdt:P4 a owl:DatatypeProperty .

ps:P4 a owl:DatatypeProperty .

pq:P4 a owl:DatatypeProperty .

pr:P4 a owl:DatatypeProperty .

wdno:P4 a owl:Class ;
	owl:complementOf _:c298799f0cd3665c958b9d4edf0ffbf3 .

_:c298799f0cd3665c958b9d4edf0ffbf3 a owl:Restriction ;
	owl:onProperty wdt:P4 ;
	owl:someValuesFrom owl:Thing .

wd:Q147 a wikibase:Item ;
	rdfs:label "Rong Martin-Siebler ZHOU"@en ;
	skos:prefLabel "Rong Martin-Siebler ZHOU"@en ;
	schema:name "Rong Martin-Siebler ZHOU"@en .

wd:P28 a wikibase:Property ;
	rdfs:label "source"@en ;
	skos:prefLabel "source"@en ;
	schema:name "source"@en ;
	schema:description "the book or article this item is cited from"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#WikibaseItem> ;
	wikibase:directClaim wdt:P28 ;
	wikibase:claim p:P28 ;
	wikibase:statementProperty ps:P28 ;
	wikibase:statementValue psv:P28 ;
	wikibase:qualifier pq:P28 ;
	wikibase:qualifierValue pqv:P28 ;
	wikibase:reference pr:P28 ;
	wikibase:referenceValue prv:P28 ;
	wikibase:novalue wdno:P28 .

p:P28 a owl:ObjectProperty .

psv:P28 a owl:ObjectProperty .

pqv:P28 a owl:ObjectProperty .

prv:P28 a owl:ObjectProperty .

wdt:P28 a owl:ObjectProperty .

ps:P28 a owl:ObjectProperty .

pq:P28 a owl:ObjectProperty .

pr:P28 a owl:ObjectProperty .

wdno:P28 a owl:Class ;
	owl:complementOf _:02d2439c7fe87d1d197023c04af95345 .

_:02d2439c7fe87d1d197023c04af95345 a owl:Restriction ;
	owl:onProperty wdt:P28 ;
	owl:someValuesFrom owl:Thing .

wd:Q5 a wikibase:Item ;
	rdfs:label "programming language"@en ;
	skos:prefLabel "programming language"@en ;
	schema:name "programming language"@en ;
	schema:description "a formal language with instructions for computing"@en .

wd:P29 a wikibase:Property ;
	rdfs:label "describes"@en ;
	skos:prefLabel "describes"@en ;
	schema:name "describes"@en ;
	schema:description "the entity this mathematical expression describes"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#WikibaseItem> ;
	wikibase:directClaim wdt:P29 ;
	wikibase:claim p:P29 ;
	wikibase:statementProperty ps:P29 ;
	wikibase:statementValue psv:P29 ;
	wikibase:qualifier pq:P29 ;
	wikibase:qualifierValue pqv:P29 ;
	wikibase:reference pr:P29 ;
	wikibase:referenceValue prv:P29 ;
	wikibase:novalue wdno:P29 .

p:P29 a owl:ObjectProperty .

psv:P29 a owl:ObjectProperty .

pqv:P29 a owl:ObjectProperty .

prv:P29 a owl:ObjectProperty .

wdt:P29 a owl:ObjectProperty .

ps:P29 a owl:ObjectProperty .

pq:P29 a owl:ObjectProperty .

pr:P29 a owl:ObjectProperty .

wdno:P29 a owl:Class ;
	owl:complementOf _:d8496ae44d3722c29015eb2b2cc15906 .

_:d8496ae44d3722c29015eb2b2cc15906 a owl:Restriction ;
	owl:onProperty wdt:P29 ;
	owl:someValuesFrom owl:Thing .