Ruby and LLM Ecosystem 2nd

3VCZͰ--.ΞϓϦέʔγϣϯ ։ൃΛࢧ͑Δجૅٕज़ Ruby x LLM Ecosystem ҏ౻ߒҰ&4. *OD 3VCZηϛφʔΦϯϥΠϯ
ਫ <૿ิվగ൛>

w044ϓϩάϥϚʔ w3VCP$PQίΞνʔϜίϛολʔ w.$1TUFFSJOHHSPVQϝϯόʔ</&8> wגࣜձࣾӬ࿨γεςϜϚωδϝϯτ &4. *OD ΤϯδχΞϦϯάϚωʔδϟʔ σΟεςΟϯάΠογϡυɾΤϯδχΞ @koic

࠾༻ͱಇ͖ํͷଟ༷Խ wਓੜͷঢ়گʹ͋Θͤͨ ϥΠϑελΠϧΛଚॏ͢Δ wؔ౦ݍɺ෱Ҫɺ࣎լɺژ౎ ࿨Վࢁɺౡࠜɺٶ࡚͔Βͷ ϦϞʔτϫʔΫ 🗾

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w มԽͷ଎͍--.पลٕज़ʹ͍ͭͯͷ࿩୊ w ༧ࢉͷ͍ͭͨ෦׆ಈ w Ӭ࿨ࣾ಺4MBDLͷMMNDMVCνϟϯωϧ w ೖࣾ͢Δ͚ͩͰɺ΋Εͳ͘ೖ෦Ͱ͖·͢ w ઈࢍ෦һืूத
େن໛ݴޠϞσϧ --. ݚڀ෦ IUUQTNBHB[JOFSVCZJTUOFUBSUJDMFT'PMMPX6Q,JSJTIJNB3VCZIUNM

ࠓ೔ͷ࿩

IUUQTXXXSVCZPSKQKBOFXT

☝ 38$Ͱ͓࿩ͨ͠͠࠷৽ͷٕज़ಈ޲Λ࠷৽ͷٕज़ಈ޲ʹΞοϓσʔτ͠·ͨ͠ IUUQTSVCZXPSMEDPOGPSHKBBCPVU ϦόΠόϧߨԋ RubyWorld Conference 2026೥͸ 2026೥12݄3೔͔Β4೔ͷ։࠵

--.େن໛ݴޠϞσϧ 3"(ݕࡧ֦ுੜ੒ .$1ϞσϧίϯςΩετϓϩτίϧ "HFOU4LJMMTΤʔδΣϯτεΩϧ 3VCZY--.ͷՄೳੑ
໨࣍ Ruby 4.0.1, Langchain.rb 0.19.5, MCP Ruby SDK 0.8.0

-BSHF-BOHVBHF.PEFM --.

w ػցֶशͱ͍͑͹1ZUIPOͱ਺ֶͱ͍͏ੈք ͔Βɺ--.΁ͷࣗવݴޠͷϓϩϯϓςΟϯά Ͱ୭Ͱ΋"*͕࣮༻Մೳʹͳͬͨ w ςΩετੜ੒ͷ--.ͱը૾ɺԻ੠ɺಈըੜ੒ ʹ࢖ΘΕΔ%J ff VTJPO.PEFM͕ݱ୅"*ͷՖܗ --.ͱ͍͏ήʔϜνΣϯδϟʔ
֦ࢄϞσϧ େن໛ݴޠϞσϧ --.͸ίϯςΩετʹର࣍͠τʔΫϯΛࣗݾճؼతʹ༧ଌ͠ଓ͚Δ֬཰తੜ੒Ϟσϧ

w นଧͪ΍"*ٞࣄ࿥ɺ/PUFCPPL-.౳Ϗδωε׆༻ w $MBVEF$PEF΍$PEFY౳Ͱ"HFOUJD7JCF$PEJOH w ΞϓϦέʔγϣϯ΁ͷ--.૊ΈࠐΈ w --.΁ͷ"1*ɺ3"(ɺ.$1౳πʔϧ։ൃ w --.ࣗମ΍0MMBNBͳͲ--.࣮ߦج൫։ൃ
w BS9JWͷ࿦จ΁ͷධ࿦΍ࣥච͢Δ໠ऀ΋ --.ͱͷ༷ʑͳؔΘΓ ָ͠Έ ํ

w ΫϥΠΞϯτͱαʔόʔͰίʔυڞ༗Մೳͳ 6OJWFSTBM+BWB4DSJQUͷੈք w 1ZUIPOͰػցֶशΛॻ͘ͳΒɺ8FC·Ͱؚ Ίͯ1ZUIPOͱ͍͏೥୅ͷ64ͷைྲྀ ෩ฉ w --.पลͷ࣮ߦ؀ڥΛ3VCZͰॻ͚Ε͹ɺ
3VCZ3BJMTͷ··--.Λ૊ΈࠐΊΔ ຊ୊ 3VCZͷීวੑ

--.ΞϓϦέʔγϣϯ։ൃ IUUQTHJUIVCDPNMBOHDIBJOBJSBHGSPNTDSBUDI ੈͷதͰ͸--. ΞϓϦ։ൃݚڀ ͕ਐΜͰ͓Γɺ 1ZUIPO4%,ʹ ࣮૷͸ݶΒͳ͍ 3VCZͷग़൪ʂ

--.ΞϓϦྫ (VNSPBE IUUQTHJUIVCDPNBOUJXPSLHVNSPBECMPCQSPEVDUJPOGBBBDBQQNPEFMTQSPEVDU@SFGVOE@QPMJDZSC 5IBOLT(JO[BSC

w 0QFO"*"1*Λ3VCZ͔Β࢖͏HFN w ΞϓϦଆ͔Β--.Λݺͼग़͢جຊ 3VCZ0QFO"*HFN OpenAI::Client.new.chat( parameters: { messages: [{role:
"user", content: prompt}], model: "gpt-4o-mini", temperature: 0.0, max_tokens: 10 } ) # gem 'ruby-openai' IUUQTHJUIVCDPNBOUJXPSLHVNSPBECMPCQSPEVDUJPOGBBBDBQQNPEFMTQSPEVDU@SFGVOE@QPMJDZSC-- LLM΁ͷϓϩϯϓςΟϯάจࣈྻ

w ϧʔϧϕʔεͰϓϩάϥϛϯάͰ͖Δܾఆੑ ͷ΋ͷ͔ΒᷓΕͨɺਓ͕ӡ༻ͰΧόʔͯ͠ ͍ͨඇܾఆੑͷྖҬΛ·ͣ--.ͰΧόʔ͢Δ w --.Λ࢖ͬͨνϟοτΞϓϦέʔγϣϯ ྫ2"γεςϜ ཁ໿ػೳ w
ΞϓϦͷ৘ใΛݩʹ--.Ͱཁ໿΍ఏҊΛੜ੒ --.ΞϓϦͷߟ͑ํͱ༻ྫ

3"( 3FUSJFWBM"VHNFOUFE(FOFSBUJPO

w --.ͷֶशσʔλ͸τϨʔχϯά͠ϦϦʔε ͨ࣌͠఺ʹݶΒΕΔͨΊɺֶशҎޙͷ࠷৽ ৘ใ΍ඇެ։৘ใͷ֎෦஌ࣝΛ͍࣋ͬͯͳ͍ w ରԠͱͯ͠--.Λνϡʔχϯά͢Δख๏ͱɺ ֎෦஌ࣝΛݕࡧͯ͠ϓϩϯϓτʹຒΊࠐΉ ख๏͕͋Δ --.ͷಛੑͱͦͷରॲ

w 1ZUIPOͰ͸1Z5PSDI΍5FOTPS'MPX͕ɺ --.ͷτϨʔχϯάʹ࢖ΘΕΔ Β͍͠ w ྫ͑͹1Z5PSDIͷ3VCZόΠϯσΟϯάʹ 5PSDISC͕͋Δ͕ɺ--.ͷτϨʔχϯά͸ 1ZUIPOΛ࢖͓ͬͯ͘ͷ͕Θ͔Γ΍͍͔͢΋ʁ --.ͦͷ΋ͷͷ܇࿅΍ௐ੔
τϨʔχϯά͸๲େͳܭࢉྔͱిྗ͕ඞཁͰɺຊؾͳΒσʔληϯλʔͷೖख͔Βʂʁ Training Fine-turning

'JOFUVSOJOHWT3"( IUUQTXXXBOZTDBMFDPNCMPH fi OFUVOJOHJTGPSGPSNOPUGBDUT w 'JOFUVSOJOH͸ ݴ༿ݣ͍΍ग़ྗͱ ͍͏දݱ 'PSN
΁ͷௐ੔ʹ࢖͏ w ֶशࡁΈ஌ࣝ΁ͷ ࣄ࣮ 'BDUVBM ͷ ௐ੔͸3"(Λ࢖͏

3"(ͷΞϓϩʔν ΞϓϦέʔγϣϯ w --.ͦͷ΋ͷΛνϡʔχ ϯά͢ΔͷͰͳ͘ɺݕࡧ ͨ͠֎෦஌ࣝΛϓϩϯϓ τʹຒΊࠐΉ w ݕࡧ͸ओʹϕΫτϧ%# w
3"(͸ख๏Ͱ͋Γඪ४Խ ͞Εͨن֨Ͱ͸ͳ͍ --. --.΁ͷ"1*ϦΫΤετͱϨεϙϯε --.ΞϓϦجૅ ϕΫτϧ σʔλϕʔε Ϣʔβʔ Chroma, Milvus, pgvector, Pinecone, Weaviate, etc... ֎෦஌ࣝΛऔΓࠐΉ 3"(࣮ݱ

3"(ͱπʔϧݺͼग़͠ ֎෦πʔϧ "1*ݺͼग़͠ 5PPM6TF ΤʔδΣϯτߏஙڧԽ ΞϓϦέʔγϣϯ w --.஌ࣝʹͳ͍৘ใ͕ඞཁ ͳΒϕΫτϧσʔλϕʔε ໰͍߹ͤ݁ՌΛՃຯͯ͠
--.΁ϓϩϯϓςΟϯά ͍ΘΏΔ޿ٛͷ3"( w --.ͷϨεϙϯεʹԠ͡ɺ ֎෦πʔϧݺͼग़͠ͷ࢓૊ ΈΛೖΕΔ 3"(ͱผ࣠ --. --.΁ͷ"1*ϦΫΤετͱϨεϙϯε --.ΞϓϦجૅ ϕΫτϧ σʔλϕʔε ֎෦πʔϧ ίʔυ࣮ߦ Ϣʔβʔ Chroma, Milvus, pgvector, Pinecone, Weaviate, etc... ֎෦஌ࣝΛऔΓࠐΉ 3"(࣮ݱ

w 3"(͸ख๏Λࢦ͢΋ͷͰ͋Γɺϓϥοτ ϑΥʔϜΛލ͍ͩڞ௨ͷن໿͸ͳ͍ w 1ZUIPOͳΒ-BOH$IBJO΍4FNBOUJD,FSOFM ͳͲ3"(࣮ݱͷͨΊͷϑϨʔϜϫʔΫ͕͋Δ w 3VCZ੡3"(ϑϨʔϜϫʔΫ-BOHDIBJOSC͕ 3VCZ$POG5BJXBOͰ঺հ͞Ε͍ͯΔ 3"(࣮ݱͷϑϨʔϜϫʔΫ

w 3"(΍ΤʔδΣϯτߏஙΛ࣮ݱ͢ΔͨΊͷɺ --.΁ͷ"1*ΫϥΠΞϯτɺϕΫτϧσʔλ ϕʔε౷߹ɺπʔϧݺͼग़͠ͳͲΛࠝแ w ͦΕͧΕͷ"1*Λந৅Խͨ͠ϓϥΨϒϧͳ ߏ੒ʹͳ͍ͬͯΔ w ຊՈ-BOH$IBJOͱൺ΂ͯɺ·͍ͩΖ͍Ζෆ଍ -BOHDIBJOSC
"OESFJ#POEBSFW࡞

w -BOHDIBJO--."OUISPQJD΍ -BOHDIBJO--.0QFO"*ͳͲ --.ʹԠͨ͡ΫϥΠΞϯτͷϥούʔΛ࣋ͭ w -BOHDIBJO--.#BTFΛܧঝ͠ɺMMNDIBU΍ MMNTVNNBSJ[FͳͲಁաతͳந৅"1*Λ࣋ͭ --.Λಁաతʹѻ͏"1*Λ࣋ͭ llm
= Langchain::LLM::Anthropic.new( api_key: ENV['ANTHROPIC_API_KEY'] ) # Requires the `anthropic` gem as an LLM client

-BOHDIBJO7FDUPSTFBSDI require 'langchain' require 'chroma-db' chroma = Langchain::Vectorsearch::Chroma.new( url: ::Chroma.connect_host,
index_name: 'ruby40_collection', llm: Langchain::LLM::Ollama.new) response = chroma.ask(question: 'Ruby 4.0ͷRuby Boxͷ࡞ऀ͸ʁ') response.chat_completion # => 'tagomoris͞ΜͰ͢ɻ' w --.͕ະ஌ͷ֎෦஌ࣝΛఏڙ͢ΔͨΊɺ ϕΫτϧ%#͔Βҙຯతʹ͍ۙ৘ใΛݕࡧ Ruby 4.0.0ϦϦʔεҎલͷ 2025೥11݄7೔࣌఺Ͱ࣭໰

w --.͕֎෦ػೳͱͯ͠ݺͼग़͠൑அͰ͖Δɺ ͍͔ͭ͘ͷ૊ΈࠐΈπʔϧΛαϙʔτ w -BOHDIBJO5PPM # Fetch weather from https://home.openweathermap.org
weather = Langchain::Tool::Weather.new( api_key: ENV['OPEN_WEATHER_API_KEY'] ) # Use `eqn` gem calculator = LangChain::Tool::Calculator.new # Use `safe_ruby` gem interpreter = Langchain::Tool::RubyCodeInterpreter.new

w --.ɺπʔϧͳͲΛ૊Έ߹ΘͤͯϢʔβʔͷ ϓϩϯϓςΟϯάʹԠ౴͢Δத֩ͷΫϥε -BOHDIBJO"TTJTUBOU require 'langchain' llm = Langchain::LLM::Ollama.new assistant
= Langchain::Assistant.new( llm: llm, tools: [Langchain::Tool::Weather.new(api_key: api_key)] ) assistant.add_message(content: '໌೔ͷఱؾ͸ʁ') messages = assistant.run! messages.each { |message| p message.to_hash[:content] }

w 3"(ϑϨʔϜϫʔΫͰ͸ந৅Խ༷ͨ͠ʑͳ ػೳ"1*͕༻ҙ͞ΕΔ͕ɺෆ࢖༻ͷػೳͳΒ --.ݺͼग़͠ͷ"1*ʹґଘͨ͠ํ͕༰қʁ w ྫ͑͹ɺ-BOHDIBJO--.0QFO"*͸ SVCZPQFOBJHFN΁ͷϥούʔʹա͗ͳ͍ 3"(ϑϨʔϜϫʔΫ͸৑௕ͳந৅Խઆ΋ʁ ϑϨʔϜϫʔΫͰ--.ΞϓϦ૾Λ஌ΓɺඞཁͳݸผϥΠϒϥϦΛ࢖͏ͱγϯϓϧʁ

w -BOHDIBJOSCͱൺ΂ͯܰྔͳϥΠϒϥϦ w ϕΫτϧσʔλϕʔεʹର͢Δந৅Խ"1*͸ ఏڙ͍ͯ͠ͳ͍ w GKPSEMMDCPPUDBNQͰ΋࢖ΘΕ͍ͯΔΒ͍͠ ͷͰৄ͘͠͸(JU)VCΛݟΑ͏ 3VCZ--. DSNOFSVCZ@MMN
chat = RubyLLM.chat chat.ask("What's the best way to learn Ruby?")

w -BOHDIBJOSC͸ɺ--.ΛғΉ3VCZͷϥΠϒ ϥϦ΍ϛυϧ΢ΣΞΛ஌Δ͖͔͚ͬʹͳΔ w 1ZUIPOͷ-BOH$IBJOʹ͋ΔػೳΛ3VCZͷ -BOHDIBJOSCʹҠ২Ͱ͖ͦ͏ w -BOHDIBJOSC΁ͷίϯτϦϏϡʔγϣϯͷ ϙΠϯτͱͯ͠5PPM֦ॆɺ-$&-αϙʔτ౳ -BOHDIBJOSCʹΑΔ3"(·ͱΊ
LangChain Expression Language

.PEFM$POUFYU1SPUPDPM .$1 NPEFMDPOUFYUQSPUPDPMJP

w .PEFM$POUFYU1SPUPDPMͷུশ w "OUISPQJD͕ࣾࡦఆެ։ɺ-JOVY'PVOEBUJPO ͷ"HFOUJD"*'PVOEBUJPO ""*' ΁ͷدଃ ϓϩτίϧ࢓༷ͰɺϓϥοτϑΥʔϜඇґଘ w ݱࡏɺ͕࠷৽൛Ͱ
υϥϑτ൛ͱͯ࣍͠ظ࢓༷Λࡦఆத .$1ͱ͸ʁ

w -BOHVBHF4FSWFS 1SPUPDPM -41 ʹӨڹ Λड͚ͨΞʔΩςΫνϟ w .$1͸ϗετɺ ΫϥΠΞϯτɺαʔόʔ Ͱ੒Δ
w ΫϥΠΞϯτɺαʔόʔ ͸+40/31$ج൫ ͷ.$1Ͱ௨৴͢Δ .$1ͷΞʔΩςΫνϟ IUUQTNPEFMDPOUFYUQSPUPDPMJPTQFDJ fi DBUJPOBSDIJUFDUVSF

.$1ϗετத৺ͷΦʔέετϨʔγϣϯ .$1αʔόʔ MCP on JSON-RPC 2.0 .$1 ΫϥΠΞϯτ .$1ϗετ w
.$1ϗετ͸ɺϢʔβʔͱ--. ͱ.$1ΫϥΠΞϯτͷՍ͚ڮ w .$1ϗετ͸ઃఆʹج͍ͮͯ .$1αʔόʔΛ--.ʹ఻͑Δ w .$1ϗετ͸--.͕.$1αʔ όʔݺͼग़͠Λ͢ΔΑ͏ฦͨ͠Β .$1αʔόʔݺͼग़͠Λ͢Δ w --.͕௚઀.$1αʔόʔͷ ݺͼग़͠Λ͢ΔΘ͚Ͱ͸ͳ͍ --. --.΁ͷ"1*ϦΫΤετͱϨεϙϯε ઃఆϑΝΠϧ NDQKTPO౳ READ .$1αʔόʔ .$1 ΫϥΠΞϯτ Ϣʔβʔ αʔόʔઃఆ ։ൃऀ͸໨తʹԠ͡ MCPαʔόʔΛ࣮૷

w $POUFYU.$1 w 4FSFOB.$1 w 'JHNB.$1 w 1MBZXSJHIU.$1 εΩϧ൛ͷ1MBZXSJHIU$-*΋ొ৔ .$1αʔόʔྫ
ແݶʹ͋Δ IUUQTSFHJTUSZNPEFMDPOUFYUQSPUPDPMJPʹొ࿥͞ΕͨݕࡧՄೳͳ΋ͷ΋

w 'BTU.$1 ZKBDRVJOGBTUNDQ w .$13# GVOXBSJPJTJJNDQSC w .$1PO3VCZ
SVCZPOBJNDQ@PO@SVCZ w .$13VCZ4%, NPEFMDPOUFYUQSPUPDPMSVCZTEL 3VCZʹ͓͚Δ.$14%,HFN NPEFMDPOUFYUQSPUPDPMͷ63-͕ѹ౗తͩͬͨͷͰɺͦ͜ʹίϛοτ͍ͯ͠Δ

w 1ZUIPO4%,ͱ5ZQF4DSJQU4%,͕ઌߦ w ೥݄ݱࡏ͸ݸͷެࣜ4%,͕ଘࡏ .$10G fi DJBM4%,T IUUQTNPEFMDPOUFYUQSPUPDPMJPBCPVU IUUQTNPEFMDPOUFYUQSPUPDPMJPEPDTTEL

w 4IPQJGZ͕ࣾ಺Ͱ࡞͍ͬͯͨHFNΛެࣜͱͯ͠ఏ Ҋͯ͠ެ։͕࢝·ͬͨͬΆ͍ w .$1ͷΨόφϯε 4&1 ͕੔͏·Ͱͷؒ ͸ɺ4IPQJGZͰϝϯςφϯε͞Ε͍ͯͨ w "UF㶆(ÖSBM
5PQIFS#VMMPDL +POBUIBO)FGOFS ࢲͷਓ͕ϝϯςφʔͱͯ͠׆ಈ͍ͯ͠Δ .$13VCZ4%, Specification Enhancement Proposal

w ެࣜ4%,͸.$1࢓༷΁ͷ४ڌ͕ٻΊΒΕΔ w ద߹ςετͷ߹֨཰΍ϝϯςφϯε౓߹͍Ͱ 5JFS ϑϧαϙʔτ 5JFS ϑϧαϙʔτ Λίϛοτϝϯτ
5JFS ࣮ݧత Ͱ෼ྨ w ݱࡏ3VCZ4%,͸5JFS 5IF0G fi DJBM4%, ͭ·Γ.$1ͷ࢓༷ͷΞοϓσʔτʹԠͯ͡ɺ4%,΋ରԠ͢Δ͜ͱ͕ཁٻ͞ΕΔ IUUQTNPEFMDPOUFYUQSPUPDPMJPDPNNVOJUZTELUJFST

/BUJWFޚࡾՈ w .$1αʔόʔఏڙͷ πʔϧɺϦιʔεɺ ϓϩϯϓτ͕ओཁػೳ w ಛʹπʔϧ͸൚༻తͳ ػೳͰΫϥΠΞϯτͷ ଟ͕͘αϙʔτ IUUQTNPEFMDPOUFYUQSPUPDPMJPDMJFOUT
IUUQTNPEFMDPOUFYUQSPUPDPMJPBCPVU

ΫϥΠΞϯταʔόʔؒͷ௨৴ w TUEJPͱ4USFBNBCMF)551Λαϙʔτ w TUEJPϩʔΧϧͷ.$1αʔόʔͱͯ͠઀ଓ w 4USFBNBCMF)551ඞཁʹԠͯ͡44& 4FWFS4FOU&WFOUT ͕࢖ΘΕΔ w
ݱঢ়4USFBNBCMF)551͸ΤϯτϦϙΠϯτΛ 3BDL3BJMTͰࣗલ࣮૷͢Δܗࣜ

3VCZͰ.$1Λ࣮૷͢Δͱ͸ʁ w .$1࢓༷ʹԊ࣮ͬͨ૷͕͞Εͨ.$1ΫϥΠ Ξϯτɺ.$1αʔόʔؒ͸૬ޓӡ༻Մೳ w ϓϩτίϧ࢓༷ͷಈ͘ιϑτ΢ΣΞͱͯ͠ɺ ԿΒ͔ͷݴޠॲཧܥͷ࣮૷͕ඞཁ w 3VCZͰ࣮૷͢Ε͹࣮૷ͱӡ༻ͷϝϯςφϯ εΛ3VCZͰͰ͖Δ

require 'mcp' server = MCP::Server.new(name: 'example') server.define_tool( name: 'echo', description:
'Echoes back its arguments', input_schema: { properties: { message: {type: 'string'} }, required: ['message'] } ) do |message:| MCP::Tool::Response.new([{ type: 'text', text: "Echo for #{message}" }]) end MCP::Server::Transports::StdioTransport.new(server).open ྫ

w 3"(͸ख๏Ͱ-BOHDIBJOSC͸--.ΞϓϦͷ ಠࣗ"1*ͷఏڙϑϨʔϜϫʔΫͱͯ͠࠶ར༻ w .$1͸ϓϩτίϧ࢓༷Ͱ͋Γ.$1αʔόʔ ͸ن໿४ڌ.$1ΫϥΠΞϯτԣஅͰ࠶ར༻ w ͍ͣΕ΋--.݁ՌͷධՁ͸ඞཁ͕ͩɺ.$1 ͸খ͘͞࠶ར༻͠΍͍͢σβΠϯ 3"(WT.$1

"HFOU4LJMMT "HFOU4LJMMT BHFOUTLJMMTJP

w "OUISPQJD͕ࣾఏҊͨ͠Φʔϓϯ࢓༷ w ΤʔδΣϯτͷಛఆͷ࡞ۀखॱΛఆٛ͢Δ ࠶ར༻ՄೳͳϓϩϯϓτςϯϓϨʔτ w ֓ཁͱͳΔ࢓༷͸ϖʔδͷΈͷܰྔ࢓༷Ͱ $MBVEF$PEF΍$PEFYͳͲʹͯར༻Մೳ "HFOU4LJMMTͱ͸ʁ ݩʑ"HFOUJD$PEJOHؚΊɺ"*׆༻ͷιϑτ΢ΣΞ։ൃʹ͍ͭͯͷଧ਍ͩͬͨͷͰ

σΟϨΫτϦߏ੒ BOUISPQJDTTLJMMTͷTLJMMDSFBUPSΛ࢖ͬͨεΩϧ࡞੒Λ͍ͯ͠Δ੠Λࣖʹ͢Δ IUUQTBHFOUTLJMMTJPXIBUBSFTLJMMT

.BSLEPXOهड़ EFTDSJQUJPO͸ʮ͍ͭ XIFO ʯൃಈ͢ΔεΩϧ͔Λه͢ BHFOUTLJMMT IUUQTBHFOUTLJMMTJPXIBUBSFTLJMMT

<ิ଍>ΧελϜεϥογϡίϚϯυ w "HFOU4LJMMTҎલ͔Βଘࡏ͍ͯͨ͠ɺεϥο γϡίϚϯυ͕Ϣʔβʔ͕ಠࣗఆٛͰ͖Δ ΤʔδΣϯτπʔϧͷσϑΝΫτͷ࢓૊Έ w Ϣʔβʔ͕໌ࣔతʹ࣮ߦ͢Δͷ͕εϥογϡ ίϚϯυͰ͋ΓɺΤʔδΣϯτ͕ࣗ཯తʹݺ ͼग़͢ͷ͕εΩϧ

޻෉ͷྫ ηϧϑϨϏϡʔXJUI"* w $MBVEF$PEF͔Β$PEFYΛݺͼग़ͯ͠ ϩʔΧϧͰͷΫϩεϨϏϡʔΛ͍ͯ͠Δ w ࣭Λ্͛ΔͨΊੜ੒"*Λ޻෉͢Δ w ࠷ۙͩͱ$MBVEF$PEFʹ/simplify͕ ͕ೖͬͨͷͰͦΕ΋ϩʔΧϧͰֻ͚߹ΘͤΔ
IUUQTLPJDIBUFOBCMPHDPNFOUSZNZDMBVEFDPEFXPSL fl PXBOETFUVQ

"HFOU4LJMMTͱͷӡ༻ॏෳʁ w dDMBVEFDPNNBOETͱdDMBVEFTLJMMTʹ ಉ͡ϓϩϯϓτΛஔ͘ͷ͸͖ͼ͍͠ w $MBVEF$PEFͰ͸εϥογϡίϚϯυಉ༷ʹ TLJMMOBNFͰ໌ࣔతʹεΩϧݺͼग़͠Ͱ͖Δ w ࠓޙ͸TLJMMTʹد͍ͤͯ͘ͷ͕ྑ͍͔΋ʁ $PEFY͸ΧελϜϓϩϯϓτඇਪ঑ͰɺεΩϧΛ࢖͏Α͏ʹެࣜจॻʹ໌ࣔ͞Εͨ
IUUQTEFWFMPQFSTPQFOBJDPNDPEFYDVTUPNQSPNQUT

3BJMTͱ͍͏$P$ϑϨʔϜϫʔΫ w ಈతܕ෇͚ݴޠͷ3VCZ͸ੜ੒"*ͱͷ૬ੑ͕ ྑ͍ͱͷNBNFUUFS͞ΜͷݚڀϨϙʔτ͋Γ w 3BJMTͷ$P$ͱ--.ͷࣄલֶशʹΑΔਪ࿦ͱ ૬ੑ͕ྑ͍B@NBUTVEB͞Μͷܦݧଇ͋Γ w 3VCZ3BJMTʹର͢ΔଐਓੑΛ࣋ͬͨεΩϧΛ ެ։͢ΔͱίϛϡχςΟʹؐݩʹͳΔʁ
IUUQT[FOOEFWNBNFUUFSBSUJDMFTFFD $POWFOUJPOPWFS$PO fi HVSBUJPO

IUUQTSVCZPOSBJMTPSH

3VCZY--.ͷՄೳੑ

w ࣮ࡍͷͱ͜Ζɺ1ZUIPO͕ઌߦ͍ͯ͠Δ w 3"(ʹؔͯ͠͸ख๏ʹա͗ͳ͍ͨΊɺ ʮ΅͕͘ߟ͑ͨ࠷ڧͷ3"(ϑϨʔϜϫʔΫʯ 3VCZ൛͕ొ৔͢Δ༨஍͸͋Δ͔΋͠Εͳ͍ w .$1͸࢓༷४ڌͷ4%,࣮૷ͷͨΊ࢓༷ཧղ ͱෆ଍͍ͯ͠Δ3VCZ4%,։ൃΛਐΊ͍ͯ͘ 3VCZͷ3"(ͱ.$1͸ޙ௥͍

w 3VCZΤίγεςϜͷ޿͕Γʹ͸ 3VCZॲཧܥΠϯετʔϧ͕ॏཁ w .$1αʔόʔ͸֤ݴޠͰ࣮૷Մ w 3VCZ੡.$1αʔόʔ͕޿͕Δ ͱ͍͏͜ͱ͸ɺ࣮ߦ؀ڥʹ3VCZ ॲཧܥ͕ೖΔػձ͕૿͑ɺ3VCZ ͷଟ༷ੑͷ޿͕Γʹܨ͕Δʂʁ
.$1αʔόʔ࣮૷͸ݴޠؒϨʔεʁ IUUQTHJUIVCDPNNPEFMDPOUFYUQSPUPDPMTFSWFST IUUQTNPEFMDPOUFYUQSPUPDPMJPBCPVU

.$13VCZ4%,ͷΞϓϦࣄྫٻΉ w 3VCZք۾Ͱͷ.$1ͷར༻ࣄྫͱͯ͠ɺ $MBVEF$PEF΍$VSTPSͳͲͷπʔϧΛ.$1 ϗετͱͨ͠࿩ׂ͕Γ߹͍ͱͯ͠ଟ͍ʁ w 3BJMTΞϓϦΛ.$1ϗετͱͨ͠--.ΞϓϦ ͔Β.$1αʔόʔΛ࢖ͬͨࣄྫ͸Չฉ Ҏલ0QFO"*͔Β$IBU(15"QQT4%,ج൫͕.$1ͱ͍͏ൃද΋͋Γܹྲྀͷ࠷த IUUQTPQFOBJDPNJOEFYJOUSPEVDJOHBQQTJODIBUHQU

w 3VCZPO3BJMTʹΑΔΞϓϦέʔγϣϯ΁ͷ --.׆༻ͷ૊ΈࠐΈ͸3VCZͰ΋Ͱ͖ΔΑ w --.पลʹ͸044ͰղܾͰ͖Δ͜ͱ͕୔ࢁ ͋ΓɺύΠΦχΞʹͳΔνϟϯεʂʁ w ͜Μͳ--.׆༻͸Ͱ͖ͳ͍͔ͳʁͱࢥͬͨΒ 1ZUIPOઌഐ͔ΒֶΜͰΈΔͷ΋ͻͱͭ ·ͱΊ

w --.͸ςΩετੜ੒Τϯδϯͱ͍͏πʔϧ w --.ͷ࢓૊ΈΛ஌Δ͜ͱ͸--.Λ࢖ͬͨ ΤϯδχΞϦϯάεΩϧͷ޲্ʹඞਢ --.ͦͷ΋ͷΛ஌Δ ͓͢͢Ί

3VCZY"*

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