Relasi Ekuivalen

[@silfirobiati62]

Terima kasih pak, sangat bermanfaat sekali untuk saya, dan paham sekali penjelasan nya🙏

[@mauliidna]

🎯 Key Takeaways for quick navigation:
01:05 🧩 *Equivalence Relation Definition and Properties*
- Equivalence relation defined by three classic properties: reflexive, symmetric, and transitive.
- Explanation of each property in the context of equivalence relations.
- An equivalence relation in a set satisfies reflexive, symmetric, and transitive properties.
04:22 📚 *Equivalence Classes Definition*
- Equivalence relation uniqueness allows for the determination of equivalence classes.
- Equivalence classes are subsets that contain elements related by the equivalence relation.
- Definition and characteristics of equivalence classes explained in detail.
07:02 🎓 *Example of Equivalence Relation and Equivalence Classes*
- Introduction of an example involving equivalence relation on integers and its classes.
- Demonstration of verifying the relation's properties within the given example.
- Illustration of how equivalence classes are formed and identified within the defined relation.
08:17 🧮 *Verifying Equivalence Relation Properties*
- Demonstration of verifying reflexivity, symmetry, and transitivity within the defined relation.
- Step-by-step examination to check if the defined relation fulfills the equivalence relation criteria.
- Detailed verification process showcasing adherence to the properties of an equivalence relation.
14:45 🏁 *Conclusion: Established Equivalence Relation*
- Confirmation that the defined relation satisfies all three properties of an equivalence relation.
- The conclusion that the established relation is indeed an equivalence relation on the given set.
- Final remarks summarizing the fulfillment of reflexivity, symmetry, and transitivity, concluding it as an equivalence relation.
15:29 🔍 *Determining Equivalence Classes*
- Explanation on how equivalence classes are determined based on the defined relation.
- Examples demonstrating the formation of equivalence classes from the relation's properties.
- Identification of elements grouped together in equivalence classes based on their relation.
18:07 📝 *Summary: Equivalence and Equivalence Classes*
- Recapitulation of equivalence and equivalence classes' discussion.
- Closing remarks emphasizing the categorization of elements and the conclusion drawn from the concept of equivalence classes.
- Final farewell and gratitude for the session.
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[@alyanabilanindarini6292]

Makasih pak ilmunya, bner2 ngebantu saya banget pak.

[@widinugroho9721]

Terimakasih Pak ilmunya,sangat bermanfaat,sehat selalu Pak

[@herrygitarusmawan5206]

Suksma bosq 🙏😄

[@silverfang5776]

Terimakasih

[@Winarrya25entertainment]

Terrimakasih

[@mahathirmuhammad6281]

Assalamu alaikum, izin pak saya buat ppt berdasarkan video bapak.

[@thobyluwu]

Bukannya 0 itu bukan bilangan bulat?

[@dewawiadnyana8504]

terus bilangan apa dong kak?

[@thobyluwu]

@dewawiadnyana8504 bilangan real gak sih

[@dewawiadnyana8504]

@@thobyluwu bilangan bulat itu apakah bukan bilangan real? 😁

[@thobyluwu]

@@dewawiadnyana8504 siapa yang bilang bilangan bulat bukan bilangan real?
Bilangan bulat terdiri dari bilangan bulat positif dan bilangan bulat negatif. Sedangkan 0 adalah bilangan netral. Bener gak?

[@dewawiadnyana8504]

@@thobyluwu bilangan netral itu seperti apa ya? 🤔