#ریاضی_دهم #ریاضی_فیزیک #ریاضی_تجربی #مثلثات_دهم #مثلثات #اتحاد_مربع_کامل
❤1

Channel
@Benyamin_math_1881
On this record: Growth · Engagement · Reactions · Posts · Polls · Cite this entry
389subscribers
+9 since we began measuring on 7 August 2026
Risers and fallers across the register · movement among entries of Under 1,000.
| Telegram ID | -1003083775792 |
|---|---|
| Type | Channel |
| Username | @Benyamin_math_1881 |
| Created | Between 1 August 2025 and 31 October 2025 — estimated from Telegram’s id allocation, not measured. How this range is calculated. |
| First recorded | 8 August 2026 |
| Last confirmed live | 10 September 2026 |
| Measurements held | 6 |
| Confirmed unchanged | 1 time, most recently 10 September 2026 |
| On Telegram | t.me/Benyamin_math_1881 |
| Measured (UTC) | Subscribers | Change |
|---|---|---|
| 10 Sept 2026, 06:01 | 389 | +6 |
| 1 Sept 2026, 09:26 | 383 | -2 |
| 24 Aug 2026, 22:47 | 385 | +3 |
| 16 Aug 2026, 20:25 | 382 | +2 |
| 8 Aug 2026, 06:16 | 380 | no change |
| 7 Aug 2026, 19:29 | 380 | first reading |
20 posts held, back to 9 February 2026 — the reader has not yet reached the start of this channel’s public history, so older posts may sit further back, unread. Read across 1 page of Telegram’s post history, 20 posts per page.
Nothing published in the last 30 days. ERR and ER are rolling 30-day measures, so there is nothing to compute — we hold 20 posts for this entry, the most recent from 5 August 2026. An engagement rate over an empty window would be a number about nothing.
41 reactions across 20 posts, in 6 distinct kinds. The most used accounts for 87.8% of them.
| Reaction | Count | Share | Share, drawn |
|---|---|---|---|
| ❤ | 36 | 87.8% | |
| ✍ | 1 | 2.44% | |
| 👏 | 1 | 2.44% | |
| 💯 | 1 | 2.44% | |
| 🔥 | 1 | 2.44% | |
| 😍 | 1 | 2.44% |
No sentiment is inferred, and none should be read in. This table is ordered by count and by nothing else. Emoji do not carry stable meaning across languages or communities — 🙏 is thanks in one channel and mourning in another — so we publish which ones were pressed and how often, and pass no judgement on what an audience meant by them.
Precision. Telegram publishes reaction counts per emoji and short-forms each one — 4.34K, 1.2M — so any single kind at or above 1,000 reaches us at three significant figures, and only counts below 1,000 are exact. The shares above are ratios of those figures and carry the same error. This is also why the total here can differ slightly from a reaction total printed elsewhere on the page: both are sums of the same rounded parts, taken over samples with different edges.
Coverage. Reactions were read on 20 of the 20 sampled posts in this sample. Summed by Telegram’s own count on each post — not by adding up the per-emoji breakdown above — those same posts carry 41 reactions in total: the kind of figure the paragraph above means by “a reaction total printed elsewhere on the page”.
Measured over the 20 most recent posts we hold, published 9 February 2026 to 5 August 2026, using the newest reading held for each. Telegram Stars are excluded: they are a payment, not a reaction, and they have their own section.
#ریاضی_دهم #ریاضی_فیزیک #ریاضی_تجربی #مثلثات_دهم #مثلثات #اتحاد_مربع_کامل
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اگر sin( x ) + cos( x ) = ¾ باشد ، حاصل sin( x ).cos( x ) کدام است ؟
Shares as published. No per-option vote count is published by Telegram, so none is shown.
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#هندسه_۳ #ریاضی_فیزیک #بردار_ها #تصویر_قائم_بردار_ها #قرینه_بردار #ضرب_داخلی_دو_بردار
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قرینهٔ بردار a = ( -2 , 0 , 1 ) نسبت به امتداد بردار b = ( 1 , 2 , -1 ) کدام است ؟
Shares as published, totalling 101%. No per-option vote count is published by Telegram, so none is shown.
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#حسابان_۱ #ریاضی_و_آمار_۳ #ریاضی_فیزیک #ریاضی_انسانی #مجموع_جملات_دنباله_حسابی
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مجموع n جملهٔ نخست یک دنباله حسابی از رابطهٔ (( Sₙ = ( 5m - 8 )n² + m²n + ( m - 2 ) )) بدست میآید. قدر نسبت این دنباله چقدر است ؟
Shares as published. No per-option vote count is published by Telegram, so none is shown.
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#هندسه_۳ #ریاضی_دوازدهم #ریاضی_فیزیک #ریاضی_تجربی #معادله_دایره #وضعیت_دو_دایره
❤2
وضعیت دایرههای زیر نسبت به هم چگونه است ؟ x² + y² - 2x - 4y - 20 = 0 x² + y² - 22x + 11y + 95 = 0
Shares as published. No per-option vote count is published by Telegram, so none is shown.
❤4
#هندسه_۳ #ریاضی_فیزیک #بردار_ها #ضرب_داخلی_بردارها #ضرب_خارجی_بردارها #زاویه
❤2
با توجه به تساوی زیر ، زاویه بین بردارهای a و b کدام میتواند باشد؟ 3( a.b )² - ( a × b )² = a.( a × b )
Shares as published. No per-option vote count is published by Telegram, so none is shown.
❤2
#ریاضیات_گسسته #ریاضی_فیزیک #ترکیبیات #بسط_چند_جمله_ای #بسط_خیام #جایگشت #جبر
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ضریب x²yz³ در بسط عبارت ⁶( x + y + z ) کدام است ؟
Shares as published. No per-option vote count is published by Telegram, so none is shown.
❤2👏1
Showing the 12 most recent of 20 posts we hold for @Benyamin_math_1881. View and reaction counts are the latest single reading for each post, not a live figure, and a recent post is still accumulating both. A view count marked ≈ was rounded by Telegram before we ever saw it — t.me prints views in full below 1,000 and to three significant figures above, so ≈1,200,000 means somewhere between 1,150,000 and 1,249,999. Unmarked counts are exact. Text is reproduced from the public post preview and truncated for length.
The 6 most recent of 10 polls we hold for this entry, as Telegram rendered them when we read the post. A poll’s figures keep moving after that, so each one is dated.
اگر sin( x ) + cos( x ) = ¾ باشد ، حاصل sin( x ).cos( x ) کدام است ؟
Shares as published. No per-option vote count is published by Telegram, so none is shown.
قرینهٔ بردار a = ( -2 , 0 , 1 ) نسبت به امتداد بردار b = ( 1 , 2 , -1 ) کدام است ؟
Shares as published, totalling 101%. No per-option vote count is published by Telegram, so none is shown.
مجموع n جملهٔ نخست یک دنباله حسابی از رابطهٔ (( Sₙ = ( 5m - 8 )n² + m²n + ( m - 2 ) )) بدست میآید. قدر نسبت این دنباله چقدر است ؟
Shares as published. No per-option vote count is published by Telegram, so none is shown.
وضعیت دایرههای زیر نسبت به هم چگونه است ؟ x² + y² - 2x - 4y - 20 = 0 x² + y² - 22x + 11y + 95 = 0
Shares as published. No per-option vote count is published by Telegram, so none is shown.
با توجه به تساوی زیر ، زاویه بین بردارهای a و b کدام میتواند باشد؟ 3( a.b )² - ( a × b )² = a.( a × b )
Shares as published. No per-option vote count is published by Telegram, so none is shown.
ضریب x²yz³ در بسط عبارت ⁶( x + y + z ) کدام است ؟
Shares as published. No per-option vote count is published by Telegram, so none is shown.
Percentages only — there are no per-option vote counts here, because Telegram publishes none. The public post preview gives each option’s share and a single voter total, and nothing else. Multiplying one by the other would produce a per-option tally that looks measured and is not: the shares are rounded to whole numbers before we ever see them. We print what was published and leave the column that does not exist empty.
The shares need not add up to 100. Rounding alone puts many polls at 99 or 101. A poll that allows more than one answer per voter runs well past 100 by design, and several here do. The bars are drawn against a fixed 100% track at each option’s own percentage rather than normalised to the total, so a poll that exceeds it shows that it does instead of being quietly rescaled.
Read from the 20 most recent posts we hold, published 9 February 2026 to 5 August 2026. Telegram labels each poll by kind — an anonymous poll, a quiz, a closed set of final results — and that label is reproduced rather than paraphrased.
A live page changes as we take new readings, so a citation should name the measurement it is based on, not just the URL. The line below cites the subscriber count as measured 10 September 2026 — this entry's latest reading, not the date you are reading this.
“ایستگاه ریاضی ۲” (@Benyamin_math_1881), 389 subscribers as measured 10 September 2026. Telegram Register, tgregister.com/channel/Benyamin_math_1881.
Full measurement history, CC BY 4.0. Every reading this register holds for this entry, not just the latest one, as a dated, downloadable record: CSV · JSON. Free to use with attribution to tgregister.com. Each file carries its own generation timestamp, which is the figure to cite for exactly when the data was retrieved.