19 Jun 2026, 07:57 UTC449 views4 reactionsread 8 August 2026
File
Алгебра Корень натуральной степени
❤4
Channel
Математика с нуля
@mathfromzero
On this record: Growth · Engagement · What this channel posts · Reactions · Posts · Citations · Cite this entry
1,624subscribers
-5 since we began measuring on 8 August 2026
Risers and fallers across the register · movement among entries of 1,000–3,162.
Register entry
| Telegram ID | -1001435055642 |
|---|---|
| Type | Channel |
| Username | @mathfromzero |
| Created | Between 1 April 2019 and 31 August 2021— estimated from Telegram’s id allocation, not measured. How this range is calculated. |
| First recorded | 8 August 2026 |
| Last confirmed live | 11 August 2026 |
| Measurements held | 3 |
| Confirmed unchanged | 1 time, most recently 11 August 2026 |
| On Telegram | t.me/mathfromzero |
Growth
| Measured (UTC) | Subscribers | Change |
|---|---|---|
| 11 Aug 2026, 06:31 | 1,624 | -5 |
| 8 Aug 2026, 11:02 | 1,629 | no change |
| 8 Aug 2026, 01:06 | 1,629 | first reading |
Engagement
17 posts held, back to 18 March 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 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 17 posts for this entry, the most recent from 19 June 2026. An engagement rate over an empty window would be a number about nothing.
What this channel posts
- Video runtime
- 12s
- Average length
- 12s
Measured directly from 1 video with a duration reading, out of the posts we hold for this channel — not this channel’s whole posting history, only the sample this register has actually read. An exact reading to the second, taken from the post itself rather than from Telegram’s own rounded chrome, so it carries no ≈ mark.
Reaction mix
53 reactions across 15 posts, in 2 distinct kinds. The most used accounts for 94.3% of them.
| Reaction | Count | Share | Share, drawn |
|---|---|---|---|
| ❤ | 50 | 94.3% | |
| 😁 | 3 | 5.66% |
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 15 of the 17 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 53reactions in total: the kind of figure the paragraph above means by “a reaction total printed elsewhere on the page”.
Measured over the 17 most recent posts we hold, published 18 March 2026 to 19 June 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.
Recent posts
18 Jun 2026, 07:01 UTC486 views3 reactionsread 8 August 2026
Известно, что tg(x/2)=sin(x)/(1+cos(x)) Пусть, sin(x), cos(x) ∈ Q, то так как Q — поле, то частное двух рациональных чисел sin(x) и 1+cos(x) является рациональным числом. Следовательно, tg(x/2) ∈ Q. Пусть теперь tg(x/2) ∈ Q. Тогда по известным формулам: sin(x)=2tg(x/2)/(1+tg^2(x/2)), cos(x)=(1-tg^2(x/2))/(1+tg^2(x/2)). Так как tg(x/2) ∈ Q, а Q — поле, замкнутое относительно применяемых алгебраических операций, и…
❤3
18 Jun 2026, 06:54 UTC409 views3 reactionsread 8 August 2026
Докажите, что значения cos(x) и sin(x) одновременно являются рациональными числами тогда и только тогда, когда рационально значение tg(x/2) (кроме пары значений (-1;0))
❤3
13 Jun 2026, 12:13 UTC500 views1 reactionsread 8 August 2026
Photo
Тут если кто хоть немного задачи решал, то сразу увидит, что задачи, на первый взгляд, шаблонные. И я конечно согласен, что те, кто бездумно зубрят, будут в этих задачах сразу видеть этот зазубренный шаблон и решить будет сложно, но про лауреатов было, с одной стороны грубо и глупо, но, с другой, гениально. Очевидно, что решить они смогут, но разве был бы в таком случае хайп вокруг задачи этих, коль не было бы этого …
❤1
17 May 2026, 14:53 UTC676 viewsread 8 August 2026
Известно, что sin^2(x)+cos^2(x)=1, тогда a*sin^2(x)+b*cos^2(x) <=> a*sin^2(x)+b*(1-sin^2(x)) = b+(a-b)*sin^2(x). Получается линейная функция относительно sin^2(x), т. е.: f(sin^x))=b+(a-b)*sin^2(x), где sin^2(x) ∈ [0;1]. Линейная функция на отрезке достигает своих экстремумов строго на концах этого отрезка. При sin^2(x)=0, f(0)=b. При sin^2(x)=1, f(1)=a. То есть, выражение принимает значения только от a до b (и…
17 May 2026, 14:46 UTC597 viewsread 8 August 2026
Найдите наибольшее и наименьшее значения, которые принимает выражение a*sin^2(x)+b*cos^2(x) в зависимости от значений параметров a и b
7 Apr 2026, 08:16 UTC878 views6 reactionsread 8 August 2026
Photo
Photo, posted without a caption
❤3😁3
7 Apr 2026, 07:00 UTC765 views4 reactionsread 8 August 2026
Photo
Photo, posted without a caption
❤4
3 Apr 2026, 08:36 UTC779 views4 reactionsread 8 August 2026
Video
Video, posted without a caption
❤4
31 Mar 2026, 18:44 UTC697 views3 reactionsread 8 August 2026
Интуитивно не так сложно понять это и прийти к этой формуле. Если посмотреть на числа n: 1≤n<10 => 1 цифра 10≤n<100 => 2 цифры 100≤n<1000 => 3 цифры 10^(q-1)≤n<10^(q) => q цифр. И тут хотелось бы как-то перейти от степени 10 к показателю 10, тк этот показатель и есть q. Вспоминаем, что log(n,n)=1. Отсюда мысль о том, что тут нужен логарифм. А мысль, почему нужна функция антье, ввиду того, что нам нужны целые части…
❤3
31 Mar 2026, 18:26 UTC646 views5 reactionsread 8 August 2026
Пусть n ∈ N. Тогда количество цифр q в десятичной записи числа n вычисляется по формуле q=[log(10,n)]+1. Доказательство. Если натуральное число состоит из q цифр, то оно ограничено снизу наименьшим q-значным числом и строго ограничено сверху наименьшим (q+1)-значным числом. Наименьшее q-значное число равно 10^(q-1), а наименьшее (q+1)-значное число равно 10^q. То есть верно следующее двойное неравенство: 10^(q-1) …
❤5
25 Mar 2026, 15:57 UTC637 views3 reactionsread 8 August 2026
Заметим, что 0.04=0.2^2, тогда выражение имеет вид t^2-4t, где t=(0.2)^x, t^2=(0.2)^2x. Более того, h(t)=t^2-4t=(t-2)^2-4, где график функции h(t) — парабола, ветви которой направлены вверх, с вершиной в t=2. Оценим аргументы: Пусть x_1=sqrt(5)-sqrt(10), x_2=sqrt(6)-sqrt(11) sqrt(5)-sqrt(10) and sqrt(6)-sqrt(11) sqrt(5)+sqrt(11) and sqrt(6)+sqrt(10) 16+2*sqrt(55) and 16+2*sqrt(60) 2*sqrt(55) < 2*sqrt(60) => sqrt(5)-…
❤3
Showing the 12 most recent of 17 posts we hold for @mathfromzero. 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.
Citation-graph rank
Citation-graph rank — 1,051,444 of 1,160,990entries in the measured graph. A weighted position computed from the forward and mention edges below — republished posts weigh more than named mentions — and recomputed periodically, over the whole graph. Published only as this ordinal position, never as a score: a position is a fact, and a score printed beside one channel’s name would read as a verdict this register does not make. The two counts beneath stay separate for the same reason mentions are never summed with forwards anywhere else on this page — a named-by count costs nothing to manufacture. The top 100 by this measure, or how it is computed.
Mentions
Named by 1 registered channel — every channel on the register whose own posts have named this one, by its current username or any other username it currently holds, merged from two separately captured readings of the same fact so a namer caught by only one of them is not missed and a namer both caught is not counted twice. A username this channel has since dropped is not matched — that handle may belong to someone else now, and crediting today’s namer to yesterday’s owner would misattribute it.
Named by
Channels on the register whose posts name this channel's handle.
A mention is a weaker signal than a forward and is counted separately for that reason — naming a channel is not republishing it, and a handle in a post body is easy to place deliberately. The post counts beside each row below are distinct posts in which the handle appeared, from posts we have read on both sides — the “Named by N registered channels” figure above is a different count, of distinct NAMING CHANNELS rather than posts, and is not the sum of the rows under it.
Cite this entry
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 11 August 2026 — this entry's latest reading, not the date you are reading this.
“Математика с нуля” (@mathfromzero), 1,624 subscribers as measured 11 August 2026. Telegram Register, tgregister.com/channel/mathfromzero.
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.