现已上线！2025 年 Telegram 研究 — 年度关键洞察 
Mathematics Optional
前往频道在 Telegram
📈 Telegram 频道 Mathematics Optional 的分析概览
频道 Mathematics Optional (@mathematics_optional_notes) 英语 语言赛道中的 是活跃参与者。目前社区聚集了 10 420 名订阅者，在 教育 类别中位列第 19 241，并在 印度 地区排名第 39 693 位。
📊 受众指标与增长动态
自 невідомо 创建以来，项目保持高速增长，吸引了 10 420 名订阅者。
根据 15 六月, 2026 的最新数据，频道保持稳定运转。过去 30 天订阅人数变化为 -71，过去 24 小时变化为 -4，整体触达仍然可观。
- 认证状态： 未认证
- 互动率 (ER)： 平均受众互动率为 5.03%。内容发布后 24 小时内通常能获得 N/A% 的反应，占订阅者总量。
- 帖子覆盖： 每篇帖子平均可获得 524 次浏览，首日通常累积 0 次浏览。
- 互动与反馈： 受众积极参与，单帖平均反应数为 0。
- 主题关注点： 内容集中在 upsc, mathematics, kataria, mathematic, ज्वाइन 等核心主题上。
📝 描述与内容策略
尚未提供频道描述。
凭借高频更新（最新数据采集于 16 六月, 2026），频道始终保持新鲜度与高覆盖。分析显示受众积极互动，使其成为 教育 类别中的关键影响点。
10 420
订阅者
-424 小时
-267 天
-7130 天
帖子存档
10 420
Hotspot volcanism is a type of volcanism that occurs at the interior of the lithospheric plates rather than plate margins.
Well known hotspots include-
1) Hawaiian Hotspot
2) Yellowstone Hotspot
3) Reunion Hotspot
Hotspot volcanism occurs due to abnormally hot centres in the mantle known as "mantle plumes".
Most of the mantle plumes lie far from tectonic plate boundaries (e.g. Hawaiian Hotspot), but there are some exceptions which are located near plate boundaries (e.g. Iceland Hotspot, Afar Hotspot).
10 420
Bonn Convention: The Convention on the Conservation of Migratory Species of Wild Animals, also known as the Convention on Migratory Species (CMS) or the Bonn Convention, is an international agreement that aims to conserve migratory species within their migratory ranges. India is a signatory to this Convention.
10 420
Washington Convention on International Trade in Endangered Species of Wild Fauna and Flora or CITES, aims at regulating the international trade of specimens of endangered animals and plants. India has ratified this Convention in 1976
10 420
Kigali Amendment to the Montreal Protocol on Substances that Deplete the Ozone Layers. it will help reduce the production and consumption of hydrofluorocarbons (HFCs), potent greenhouse gases (GHGs), and thus to avoid global warming by up to 0.4°C this century
10 420
Global Internet Forum to Counter Terrorism is an initiative of Facebook, Microsoft, Twitter and YouTube with the objective of disrupting terrorist abuse on their respective platforms by dedicated technology, counterterrorism and operations teams.
10 420
Private Member's Bills : A Member of Parliament (MP) who is not a Minister in the Union Cabinet is called a Private Member. Bills introduced by such members are called Private Member's Bills. Private Member Bill (PMB) is same as that of a Government Bill. These bills can deal with any issue and can also be a Constitutional Amendment Bill. It can be introduced in either the Lok Sabha or Rajya Sabha
10 420
🔼🔼Now ONLY #9 copies of CONCISED GS NOTES are available at Heavy Discount. #491copies Sold out.🔼🔼
📚Consized Ancient History Notes
📚Consized Medieval History notes
📚Consized Modern History Notes
📚Consized Art & Culture Notes
📚Consized Indian Geography Notes
📚Consized World Geography Notes
📚Consized Physical Geography
📚Consized Agriculture Notes
📚Consized Indian Economy
✅ All ABOVE Consized Notes at RS149 Only
https://www.instamojo.com/civilservicesbooks/concise-notes-on-indian-geography-indian-agr/?discount=august23 🔼
10 420
Repost from N/a
OPTIONAL Notes & PYQs - Your path for 300+ Marks!
Be RATIONAL, Be Comprehensive, Be Exam Oriented!
Even Selected Missed out Topics in your Preparation can be prepared from these Books.
ORDER before STOCK ENDS!
🔥 SOCIOLOGY - CLICK HERE
🔥 ANTHRO - CLICK HERE
🔥 PSIR - CLICK HERE
🔥 GEOGRAPHY - CLICK HERE
🔥 AGRICULTURE - CLICK HERE
🔥 PUB AD - CLICK HERE
For more information, reach us at t.me/sunyacare
10 420
Repost from N/a
MOKSHA - UPSC Mains Test Series 2024-25
Admissions Open, Apply Now🎓
For more details call: 8899180180
Visit: https://www.shankariasacademy.com/upsc-mains-test-series/
10 420
Repost from N/a
Unlimited GS + Essay
Enrol For Mains 2024 : https://rzp.io/l/UNLIMITESGSESSAY2024
Enrol For Mains 2025 : https://rzp.io/l/UNLIMITEDGSESSAY2025
⭐️ Group Discount Available
⭐️ Demo Available
WhatsApp : https://wa.me/qr/WF7HNHZSXF4QK1
Telegram : https://telegram.me/IAS_NETWORK
10 420
🔼🔼Now ONLY #9 copies of CONCISED GS NOTES are available at Heavy Discount. #491copies Sold out.🔼🔼
📚Consized Ancient History Notes
📚Consized Medieval History notes
📚Consized Modern History Notes
📚Consized Art & Culture Notes
📚Consized Indian Geography Notes
📚Consized World Geography Notes
📚Consized Physical Geography
📚Consized Agriculture Notes
📚Consized Indian Economy
✅ All ABOVE Consized Notes at RS149 Only
https://www.instamojo.com/civilservicesbooks/concise-notes-on-indian-geography-indian-agr/?discount=august23 🔼
10 420
Repost from N/a
BRAHMASTRA 2025 - Only Program you need with 1-1 Guidance.
Batch Starts - 30 June
Macro Components
☘️ Integrated Pre Cum Mains Test Series
☘️ Mentorship (Personal & Super Mentors)
☘️ Study Material (Prelims + Mains)
☘️ Study Time Table
Do ask your registered friends about the program!
Register Now/ Find Details at: https://www.sunyaias.com/subscription-details/brahmastra-2025-30-june
For Queries, fill the form at: https://forms.gle/1PZFbxWE7uXJ8C4x9
Telegram @sunyanotes50
10 420
Repost from N/a
OPTIONAL Notes & PYQs - Your path for 300+ Marks!
LOWEST PRICE ENDS TODAY!
ORDER before STOCK ENDS!
🔥 SOCIOLOGY - CLICK HERE
🔥 ANTHRO - CLICK HERE
🔥 PSIR - CLICK HERE
🔥 GEOGRAPHY - CLICK HERE
🔥 AGRICULTURE - CLICK HERE
🔥 PUB AD - CLICK HERE
For more information, reach us at t.me/sunyacare
10 420
✅Join for UPSC Prelims Mains Notes Material Online Quiz Current Affairs for CivilServices & UPPCS, MPPCS, RAS, Bihar PCS Exams⬇️
https://whatsapp.com/channel/0029Va90cTm3GJP5U7z7nU42
Join Other Important Channels
✅ *UPSC Prelims 2024*⬇️
https://whatsapp.com/channel/0029VaBxMzf2P59oDtom7c1c
✅ *UPSC Mains 2024*
https://whatsapp.com/channel/0029VaC0JgNFSAtCfeqUxH0w
✅ *Current Affairs Notes*
https://whatsapp.com/channel/0029VaC0BI4HgZWXymjXKf1B
✅ *Geography India & World*
https://whatsapp.com/channel/0029Va78a9i4CrflIZLaED0a
✅ *Indian History Ancient, Medieval, Modern, Art & Culture*
https://whatsapp.com/channel/0029Va7NAAWHQbRzvbRfMB0q
✅ *Economics*
https://whatsapp.com/channel/0029VaC5f7t5vKA9Mg5bEi45
✅ *Indian Polity Indian Constitution*
https://whatsapp.com/channel/0029VaCA13J60eBafSiaM23w
✅ *Learn English* https://whatsapp.com/channel/0029VaDvBlP3WHTQDKhVZA2I
✅ *CSAT, Maths, Quanta, Reasoning*
https://whatsapp.com/channel/0029VaJgawHEFeXhpKFpKx1E
✅ *GS GK Tricks, Eco Tricks, Polity Tricks and Maths Tricks*
https://whatsapp.com/channel/0029VaKnuHK0G0XYdxH3d512
✅ *Daily Motivation Quotes*
https://whatsapp.com/channel/0029Va4xbAd6rsQrC3wNIW3M
✅ *Cyber Crime Awareness*
https://whatsapp.com/channel/0029Va9BXnpEAKWILdNqZx2N
✅ *Legal Awareness*
https://whatsapp.com/channel/0029Va7fFpcLo4hgYUCcKK1d
✅ Science Facts
https://whatsapp.com/channel/0029VaAZhD21CYoWliV4QE30
Join & Share Most Important UPSC Civil services WhatsApp Channels
Contact for Advertisement
Contact: https://telegram.me/Bharat101
10 420
Top 20 Channels for UPSC Civilservices Preparation..
1⃣ @CSEUPSCNotes 210k
2⃣ @CSEUPSCPrelims 82k
3⃣ @UPPCSExamnotes 75k
4⃣ @CSATMathematics 35K
5⃣ @CSEUPSCMains 40k
6⃣ @UPSCEssayHub 15k
7⃣@UPSCMains_Testseries 12k
8⃣ @UPSCMainsGS2Books 9k
9⃣ @NCERTNoteBooks 18k
🔟 @GeographyZone
✅ UPSC Optional Subjects
1⃣ @Geography_Optional_Notes 50k
2⃣ @AnthroUPSCNotes 40k
3⃣ @Economics_Optional_Notes 40k
4⃣ @Sociology_Optional2 50k
5⃣ @History_OptionalNotes 30k
6⃣ @Mathematics_optional_Notes
7⃣@PublicAdministration_optional 50k
8⃣ @PoliticalScience_Notes 40k
9⃣ @Philosophy_Optional_Notes 30k
🔟 @Commerce_Accountancy
➖➖➖➖➖➖➖➖➖➖➖
✅Contact for Advertisements👇.
@Bharat101
Bumber Discounted on Advt 👆👆
10 420
🔼🔼Now ONLY #9 copies of CONCISED GS NOTES are available at Heavy Discount. #491copies Sold out.🔼🔼
📚Consized Ancient History Notes
📚Consized Medieval History notes
📚Consized Modern History Notes
📚Consized Art & Culture Notes
📚Consized Indian Geography Notes
📚Consized World Geography Notes
📚Consized Physical Geography
📚Consized Agriculture Notes
📚Consized Indian Economy
✅ All ABOVE Consized Notes at RS149 Only
https://www.instamojo.com/civilservicesbooks/concise-notes-on-indian-geography-indian-agr/?discount=august23 🔼
10 420
🔼🔼Now ONLY #9 copies of CONCISED GS NOTES are available at Heavy Discount. #491copies Sold out.🔼🔼
📚Consized Ancient History Notes
📚Consized Medieval History notes
📚Consized Modern History Notes
📚Consized Art & Culture Notes
📚Consized Indian Geography Notes
📚Consized World Geography Notes
📚Consized Physical Geography
📚Consized Agriculture Notes
📚Consized Indian Economy
✅ All ABOVE Consized Notes at RS149 Only
https://www.instamojo.com/civilservicesbooks/concise-notes-on-indian-geography-indian-agr/?discount=august23 🔼
