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 10 347 名订阅者，在 教育 类别中位列第 19 231，并在 印度 地区排名第 38 757 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 10 347 名订阅者。
根据 30 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 -122，过去 24 小时变化为 -9，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 2.96%。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 0 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 01 七月, 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。
10 347
订阅者
-924 小时
-457 天
-12230 天
帖子存档
10 346
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https://www.youtube.com/c/CivilservicesNotes/videos
Free Videos for All
https://www.youtube.com/channel/UClQ37UtKiY5AZ4PuYBslGsg?sub_confirmation=1
Subscribe and Share with your friends
10 346
Repost from N/a
CSAT 60 Days guidance programme with IIM Calcutta alumni @ 1 Rs. ( Only 100 seats)
To get a free sample copy of material and plan download the app ↴↴
☞ Download link for android ➛ http://on-app.in/app/home?orgCode=bqqrx
☞ For ios ➛ open my institute app and then use org code BQQRX.
