#HB 172 .V34 2020 Intermediate microeconomics Hal R. Varian #Edition 9 #ISBN 9780393689891 #Page 805
👍4❤2

Channel
@wutlibuztextbooks
On this record: Growth · Engagement · Reactions · Posts · Cite this entry
468subscribers
+10 since we began measuring on 8 August 2026
Risers and fallers across the register · movement among entries of Under 1,000.
| Telegram ID | -1001548337870 |
|---|---|
| Type | Channel |
| Username | @wutlibuztextbooks |
| Created | Between 1 August 2021 and 25 January 2023— estimated from Telegram’s id allocation, not measured. How this range is calculated. |
| First recorded | 8 August 2026 |
| Last confirmed live | 30 August 2026 |
| Measurements held | 5 |
| Confirmed unchanged | 1 time, most recently 30 August 2026 |
| On Telegram | t.me/wutlibuztextbooks |
| Measured (UTC) | Subscribers | Change |
|---|---|---|
| 30 Aug 2026, 08:47 | 468 | +10 |
| 22 Aug 2026, 16:04 | 458 | +1 |
| 15 Aug 2026, 00:13 | 457 | -1 |
| 8 Aug 2026, 07:00 | 458 | no change |
| 8 Aug 2026, 06:51 | 458 | first reading |
10 posts held, back to 25 January 2023 — 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 pageof 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 10 posts for this entry, the most recent from 6 February 2023. An engagement rate over an empty window would be a number about nothing.
8 reactions across 2 posts, in 2 distinct kinds. The most used accounts for 75.0% of them.
| Reaction | Count | Share | Share, drawn |
|---|---|---|---|
| 👍 | 6 | 75.0% | |
| ❤ | 2 | 25.0% |
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 4 of the 10 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 8reactions in total: the kind of figure the paragraph above means by “a reaction total printed elsewhere on the page”.
Measured over the 10 most recent posts we hold, published 25 January 2023 to 6 February 2023, using the newest reading held for each. Telegram Stars are excluded: they are a payment, not a reaction, and they have their own section.
#HB 172 .V34 2020 Intermediate microeconomics Hal R. Varian #Edition 9 #ISBN 9780393689891 #Page 805
👍4❤2
#HB 172 .B864 2020 Microeconomics theory and applications Edgar Browning, Mark Zupan #Edition 13 #ISBN 9781119668749 #Page 569
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#P53 .C45 2019 Reconceptualizing Language teaching David L. Chiesa, Ulugbek Azizov, Svetlana Khan, Klara Nazmutdinova, Komila Tangirova #ISBN 9789943580992 #Page: 205
Showing the 10 most recent of 10 posts we hold for @wutlibuztextbooks. 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.
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 30 August 2026 — this entry's latest reading, not the date you are reading this.
“WUTLIB textbooks” (@wutlibuztextbooks), 468 subscribers as measured 30 August 2026. Telegram Register, tgregister.com/channel/wutlibuztextbooks.
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.