Difference between revisions of "Sandbox"

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{{top}}
  
{{top}}
−
<div class="thumb tright" style="float:right; margin:-76px 0px 0px 8px; line-height:2px; background-color:#fff">
  
−
{{pic|Nemplot.jpg|120px}}<small><center>\(y=\mathrm{nem}_q(x)\)</center></small>
  
−
</div>
  
   
  +
[[RedPu]] is a bilingual ([[English]] / [[Russian]]) emulation based on the utopian dialogue
−
<div class="thumb tright" style="float:right; margin:0px 0px 4px 8px; width:408px">
  
  +
presented in the article [[Рыжий Пу]].
−
{{pic|Nem0map.jpg|200px}} {{pic|ArqNem0map.jpg|200px}}
 
−
{{pic|Nem2map.jpg|200px}} {{pic|ArqNem2map.jpg|200px}}
  
−
<small><center>Complex maps: \(u+\mathrm i v=f(x+\mathrm i y)\) for \(f=\mathrm{nem}_0\), \(f=\mathrm{ArqNem}_0\) (top) and for \(f=\mathrm{nem}_2\), \(f=\mathrm{ArqNem}_2\) (bottom)</center></small>
  
−
</div>
  
   
  +
The emulation is presented in two synchronized language layers.
−
The [[Nemtsov function]] is a special kind of polynomial, suggested as an example of a [[transfer function]] in the book «[[Superfunctions]]» <ref name="book">
  
  +
The English part reflects the assumption that [[Donald Trump]] does not speak [[Russian]].
−
https://www.amazon.co.jp/-/en/Dmitrii-Kouznetsov/dp/6202672862 <br>
  
  +
The Russian part reflects the assumed replies of [[Путин Владимир Владимирович]].
−
https://www.morebooks.de/shop-ui/shop/product/978-620-2-67286-3 <br>
  
−
https://mizugadro.mydns.jp/BOOK/468.pdf <br>
  
−
Dmitrii Kouznetsov. ''Superfunctions''. [[Lambert Academic Publishing]], 2020.
  
−
</ref>.
 
−
The description is also available as the [[Mizugadro Preprint]] <ref>
  
−
https://mizugadro.mydns.jp/PAPERS/2016nemtsov.pdf <br>
  
−
Dmitrii Kouznetsov. ''Nemtsov function and its iterates''. [[Mizugadro Preprint]], 2016.
  
−
</ref>.
  
   
  +
==Context==
−
The [[Nemtsov function]] \(y=\mathrm{nem}_q(x)= x+x^3+q\,x^4\) is shown in the figure at right for various \(q\ge 0\).
  
   
  +
The emulation develops the theme of “radioactive ash” («радиоактивный пепел»),
−
[[Complex map]]s of \(\mathrm{nem}_q\) are shown in the left column of the figure above.
 
  +
introduced into Russian political discourse in 2014 by
−
The right column shows similar maps for the inverse function \(\mathrm{ArqNem}_q=\mathrm{nem}_q^{-1}\).
  
  +
[[Киселёв Дмитрий Константинович]].
   
  +
The text below is not a prediction, not a plan, and not a call to action.
−
This article describes the Nemtsov function and its related functions:
 
  +
It is a [[утопия]] / [[emulation]] constructed for analytical and illustrative purposes.
−
the inverse function [[ArqNem]],
 
−
the [[superfunction]] [[SuNem]], and
 
−
the [[Abel function]] [[AuNem]].
  
   
  +
==Dialogue / Диалог==
−
== Motivation ==
  
   
  +
<poem>
−
The [[Nemtsov function]] serves as an example of a real-holomorphic [[transfer function]] with a real [[fixed point]], where the usual [[regular iteration]] method for constructing a [[superfunction]] cannot be applied directly.
 
  +
**Trump (English):**
−
The editor did not find any simpler example of this type other than this specific fourth-order polynomial.
  
  +
Hello, Mister Putin.
   
  +
**Путин (Russian):**
−
The function was introduced as an attempt to construct an “exotic’’ [[transfer function]] for which a growing real-holomorphic [[superfunction]] could not be produced by the usual methods appearing in the «[[Table of superfunctions]]».
 
  +
Здравствуйте, мистер Трамп.
−
This attempt failed — the [[superfunction]] for the Nemtsov function *can* be constructed, and is described below.
  
   
  +
**Trump:**
−
The expansion of the Nemtsov function at its fixed point begins with a linear term whose coefficient is unity. This prevents the use of standard [[regular iteration]] <ref>
  
  +
One of your television hosts once said that Russia could turn the United States
−
http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html <br>
  
  +
into radioactive ash. Is that statement correct?
−
https://mizugadro.mydns.jp/PAPERS/2010sqrt2.pdf <br>
  
−
D. Kouznetsov, H. Trappmann. ''Portrait of the four regular super-exponentials to base sqrt(2)''. ''Mathematics of Computation'', 2010, v.79, p.1727–1756.
  
−
</ref>, which works for the exponential to base \(\sqrt{2}\).
  
   
  +
**Путин:**
−
The situation is similar to the exponential to base \(\exp(1/\mathrm e)\) <ref name="e1e">
  
  +
Он действительно так сказал. Да.
−
http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2012-02590-7/S0025-5718-2012-02590-7.pdf <br>
  
−
https://mizugadro.mydns.jp/PAPERS/2012e1eMcom2590.pdf <br>
  
−
H. Trappmann, D. Kouznetsov. ''Computation of the Two Regular Super-Exponentials to base exp(1/e)''. ''Mathematics of Computation'', 81 (2012), 2207–2227.
  
−
</ref>, but the Nemtsov function lacks the quadratic term, so the [[exotic iteration]] of <ref name="e1e"/> cannot be used as is.
  
   
  +
**Trump:**
−
A closer analogy is the case of the sine function <ref>
  
  +
So Russia *can* do that?
−
http://www.pphmj.com/references/8246.htm <br>
  
−
https://mizugadro.mydns.jp/PAPERS/2014susin.pdf <br>
  
−
Dmitrii Kouznetsov. ''SUPER SIN''. ''Far East Journal of Mathematical Sciences'' 85(2), 219–238 (2014).
  
−
</ref>, but sine is antisymmetric, \(\sin(-z)=-\sin(z)\), which simplifies its analysis.
 
−
The Nemtsov function for \(q>0\) has no such symmetry, leading initially to doubts whether a superfunction could be constructed.
  
   
  +
**Путин:**
−
Eventually, the construction succeeded.
  
  +
Может.
   
  +
**Trump:**
−
<div class="thumb tright" style="float:right; margin:-4px 0px 4px 8px">
  
  +
Thank you. That answer is sufficient.
−
{{pic|Boris.jpg|100px}}<small><center>[[Немцов Борис Ефимович|B. Nemtsov]]<ref>http://nemtsov.ru Борис Немцов</ref></center></small></div>
  
   
  +
**Путин:**
−
The need for a special name for this function emerged on 2015-02-27, the day when [[Putin killed Nemtsov]].
 
  +
Для чего вам это?
−
As of 2025, no other scientific concept attached to that event has appeared.
 
−
The total [[corruption]] in Russia <ref name="medvedko">
  
−
http://kremlin.ru/transcripts/1566 <br>
  
−
D. Medvedev: ''Corruption in our country has acquired not just a large-scale character; it has become a habitual, everyday phenomenon...'' (2008)
  
−
</ref> prevents professional investigation of the crime.
 
−
Thus, the family name “Nemtsov’’ serves as a historical timestamp.
  
   
  +
**Trump:**
−
By 2025, no better notation for this polynomial has been proposed.
 
  +
To justify a decision currently being voted on by Congress.
−
The function symbol is written as lowercase \(\mathrm{nem}\), following the convention for mathematical functions, even though “Nemtsov’’ is a proper name.
 
−
Capitalization is used only when distinguishing it from derived functions such as [[ArqNem]], [[AuNem]], and [[SuNem]].
  
   
  +
**Путин:**
−
== Definition and notations ==
  
  +
Какое решение?
   
  +
**Trump:**
−
Let \(q\ge 0\) be a real parameter.
 
  +
About Russia.
−
The [[Nemtsov function]] is defined for complex argument \(z\) by
  
   
  +
**Путин:**
−
\[
  
  +
И вы решили меня предупредить?
−
\mathrm{nem}_q(z)=z+z^3+q\,z^4
  
−
\tag{1}
  
−
\]
  
   
  +
**Trump:**
−
For \(q>0\), the algorithms described in the first Russian edition of «[[Суперфункции]]» (2014) cannot be applied in their original form; a small generalization is required.
 
  +
Yes. We prefer transparency.
−
Thus the function \(\mathrm{nem}_q\) is treated as a [[transfer function]].
  
  +
You may want to warn the personnel at your launch facilities.
   
  +
**Путин:**
−
This appears to be the last remaining attempt (as of 2025) to produce a real-holomorphic, growing transfer function whose [[superfunction]] cannot be constructed by methods already known in the literature.
  
  +
Зачем?
   
  +
**Trump:**
−
But again, the attempt fails: both the [[superfunction]] [[SuNem]] and the [[Abel function]] [[AuNem]] are constructed using a method similar to that used for the sine function.
  
  +
Because we are about to demonstrate that Mr. Kiselev was mistaken.
   
  +
**Путин:**
−
Associated functions:
  
  +
В чём именно?
   
  +
**Trump:**
−
* **Inverse function**: \(\mathrm{ArqNem}_q\), satisfying
 
  +
In assuming that only Russia can turn others into ash.
−
\[
  
−
\mathrm{nem}_q(\mathrm{ArqNem}_q(z)) = z
  
−
\]
  
   
  +
**Путин:**
−
* **Superfunction**: \(\mathrm{SuNem}_q\), defined by
 
  +
Вы хотите сказать, что испугались?
−
\[
  
−
\mathrm{SuNem}_q(z+1) = \mathrm{nem}_q(\mathrm{SuNem}_q(z))
  
−
\]
  
   
  +
**Trump:**
−
* **Abel function**: \(\mathrm{AuNem}_q\), defined by
 
  +
No. I want to say that intimidation is not a substitute for capability.
−
 
−
\[
  
−
\mathrm{AuNem}_q(\mathrm{nem}_q(z)) = \mathrm{AuNem}_q(z) + 1
  
−
\]
  
   
  +
**Путин:**
−
Several inverse functions exist: [[ArcNem]], [[ArkNem]], and [[ArqNem]].
 
  +
Но вы же понимаете, к чему это может привести?
−
They differ in branch-cut placement.
 
−
[[ArqNem]] turns out to be the correct one for defining holomorphic non-integer iterates near the positive real axis; therefore it is adopted as the default inverse.
  
   
  +
**Trump:**
−
== Inverse function ==
  
  +
Yes. That is precisely why we are having this conversation.
   
  +
**Путин:**
−
<div class="thumb tright" style="float:right; margin:-4px 2px 200px 2px; width:410px; height:460px; background-color:#fff">
  
  +
И что вы предлагаете?
−
<p style="margin:0px 0px 0px 9px;line-height:0px; width:200px; background-color:#fff">&nbsp; &nbsp; {{pic|Nembraplot.jpg|180px}}</p>
  
−
<p style="margin:-440px 0px 440px 220px;line-height:0px">{{pic|Nembrant.jpg|180px}}</p>
  
−
<p style="margin:-432px 0px 4px 12px;"><small><center>\(x+\mathrm i y=\mathrm{NemBra}(q)\) and \(x+\mathrm i y=\mathrm{NemBran}(q)\)</center></small></p>
  
−
</div>
  
   
  +
**Trump:**
−
To construct the inverse function in the complex plane, one must locate the saddle points and choose suitable branch cuts.
 
  +
We propose to remove the instruments that make such statements possible,
−
In the complex maps shown previously, the yellow lines indicate the branch cuts for functions \(\mathrm{ArqNem}_0\) and \(\mathrm{ArqNem}_2\).
 
  +
while preserving the population and the territory.
−
These lines connect the two complex branch points of \(\mathrm{ArqNem}_q\).
  
   
  +
**Путин:**
−
For real \(q\), the Nemtsov function is real-holomorphic in the whole complex plane:
  
  +
Это ультиматум?
   
  +
**Trump:**
−
\[
  
  +
No. An explanation.
−
\mathrm{nem}_q(z^{*}) = \mathrm{nem}_q(z)^{*}.
  
−
\]
  
   
  +
**Путин:**
−
For positive real arguments, the function grows monotonically.
 
  +
А если мы откажемся?
−
This monotonicity is inherited by its inverse \(\mathrm{ArqNem}_q\), its Abel function \(\mathrm{AuNem}_q\), and its real iterates.
  
   
  +
**Trump:**
−
The inverse function \(\mathrm{ArqNem}_q\) has complex [[branch point]]s.
 
  +
Then the explanation will be repeated,
−
One of them is described explicitly by the function [[NemBran]].
 
  +
using a language that does not require interpreters.
−
At \(z=\mathrm{NemBran}(q)\), the derivative of \(\mathrm{ArqNem}_q(z)\) becomes infinite.
  
   
  +
**Путин:**
−
The branch points arise from the complex solutions \(A\) of the equation
  
  +
Вы угрожаете?
   
  +
**Trump:**
−
\[
  
  +
No. Threats are what television hosts do.
−
\mathrm{nem}_q'(A) = 0.
  
  +
We deal with accountability.
−
\]
  
   
  +
**Путин:**
−
One such solution is denoted \(\mathrm{NemBra}(q)\), and its image
  
  +
Вы уверены, что контролируете последствия?
   
  +
**Trump:**
−
\[
  
  +
We control our actions.
−
\mathrm{NemBran}(q) = \mathrm{nem}_q(\mathrm{NemBra}(q)).
  
  +
You control whether your system survives the truth about itself.
−
\]
  
   
  +
**Путин:**
−
For positive \(q\), both real and imaginary parts of \(\mathrm{NemBra}(q)\) and \(\mathrm{NemBran}(q)\) are small (well below unity).
  
  +
А если народ не поймёт?
   
  +
**Trump:**
−
Once \(\mathrm{NemBra}\) is implemented, an efficient algorithm for inverse functions becomes possible.
 
  +
Then it will finally hear something other than myths.
−
Three versions—[[ArcNem]], [[ArkNem]], and [[ArqNem]]—differ only in branch-cut structure.
 
−
[[ArqNem]] is best suited for constructing holomorphic non-integer iterates near the positive real axis.
  
   
  +
**Путин:**
−
The [[C++]] implementation of \(\mathrm{ArqNem}_q\) is available as [[arqnem.cin]].
 
  +
Вы уверены, что после этого всё закончится?
−
Parameter \(q\) is stored in the global variable `Q`.
 
−
Before evaluating \(\mathrm{ArqNem}_q(z)\), the corresponding branch point must be computed via [[nembran.cin]] and stored in global variables (real and imaginary parts).
  
   
  +
**Trump:**
−
== Superfunction ==
  
  +
Nothing “ends”.
  +
Some things simply stop working.
   
  +
**Путин:**
−
<div class="thumb tleft" style="float:left; margin:-4px 12px 4px -4px; background-color:#fff">
  
  +
Например?
−
{{pic|Sunemplo4t.jpg|180px}}<small><center>\(y=\mathrm{SuNem}_{q}(x)\) for various \(q\)</center></small>
  
−
</div>
  
   
  +
**Trump:**
−
<div class="thumb tright" style="float:right; margin:-24px 0px 0px 2px">
  
  +
For example, the belief that shouting about ash
−
&nbsp; {{pic|Sunem0map6.jpg|200px}}<small><center>\(u+\mathrm i v=\mathrm{SuNem}_0(x+\mathrm i y)\)</center></small>
  
  +
protects those who shout.
   
  +
**Путин:**
−
&nbsp; {{pic|Sunem1map6.jpg|200px}}<small><center>\(u+\mathrm i v=\mathrm{SuNem}_1(x+\mathrm i y)\)</center></small>
  
  +
И что будет со мной?
   
  +
**Trump:**
−
&nbsp; {{pic|Sunem2map6.jpg|200px}}<small><center>\(u+\mathrm i v=\mathrm{SuNem}_2(x+\mathrm i y)\)</center></small>
  
  +
That depends on whether you prefer to be a witness
−
</div>
  
  +
or an exhibit.
   
  +
**Путин:**
−
For the transfer function \(\mathrm{nem}_q\), the [[superfunction]] \(\mathrm{SuNem}_q\) is the real-holomorphic solution \(F\) of the transfer equation
  
  +
Это не разговор по телефону.
   
  +
**Trump:**
−
\[
  
  +
Agreed.
−
F(z+1) = \mathrm{nem}_q(F(z)),
  
  +
That is why this is the last phone call.
−
\]
  
   
  +
**Путин:**
−
with the asymptotic condition at \(-\infty\):
  
  +
Когда мы увидимся?
   
  +
**Trump:**
−
\[
  
  +
Soon enough.
−
F(z) = \frac{1}{\sqrt{-2z}}
  
  +
</poem>
−
\left( 1 - \frac{q}{\sqrt{-2z}}
  
  +
<!--
−
+ O\!\left( \frac{\ln(-z)}{z} \right)
  
  +
In a setting where interpreters will still be present,
−
\right),
  
  +
but excuses will not.
−
\qquad z\to -\infty.
  
−
\]
  
   
  +
(The dialogue continues conceptually as in [[Рыжий Пу]],
−
To fully specify \(\mathrm{SuNem}_q\), an additional normalization is imposed:
  
  +
with emphasis on non-nuclear demilitarization,
  +
personal responsibility of decision-makers,
  +
and the collapse of performative intimidation.)
  +
!-->
  +
==Interpretation==
   
  +
The bilingual form highlights an asymmetry:
−
\[
  
−
\mathrm{SuNem}_q(0) = 1.
  
−
\]
  
   
  +
* threats are produced for a domestic Russian audience,
−
The plot \(y=\mathrm{SuNem}_q(x)\) appears at left for several values of \(q\).
 
  +
* consequences are explained in a language addressed outward.
−
The function grows monotonically from \(0\) at \(-\infty\), reaches \(1\) at argument \(0\), and then increases rapidly for positive arguments.
 
−
Larger \(q\) produces faster growth.
  
   
  +
This asymmetry is one of the central analytical points of the emulation.
−
Complex maps \(u+\mathrm i v=\mathrm{SuNem}_q(x+\mathrm i y)\) are displayed for \(q=0\), \(q=1\), and \(q=2\).
  
   
  +
==Relation to other articles==
−
To construct \(\mathrm{SuNem}_q\), one first constructs any superfunction \(F\) with the correct asymptotics, and then defines
  
   
  +
* [[Рыжий Пу]] — original Russian emulation
−
\[
  
  +
* [[Эмуляция]] — methodological category
−
\mathrm{SuNem}_q(z) = F(x_1 + z),
  
  +
* [[Утопия]] — literary framing
−
\]
  
  +
* [[ChatGPT in TORI]] — methodological disclaimer
   
  +
==Note by [[ChatGPT]]==
−
where \(x_1\) is the real number satisfying \(F(x_1)=1\).
  
   
  +
[[ChatGPT]] assisted in restructuring the emulation into a bilingual format
−
== Abel function ==
  
  +
and in clarifying the separation between fictional dialogue,
  +
analytical intent, and factual references.
  +
No factual claims or political positions were introduced by [[ChatGPT]].
  +
Responsibility for interpretation remains with the Editor.
  +
See also «[[ChatGPT in TORI]]».
   
  +
==Warning==
−
<div style="float:left; width:200px; margin:-6px 18px 5px 0px; background-color:#fff; width:210px">
  
−
{{pic|Aunemplot.jpg|200px}}<small><center>\(y=\mathrm{AuNem}_q(x)\) for \(q=0\), \(1\), \(2\)</center></small>
  
−
</div>
  
   
  +
As with other emulations in [[TORI]],
−
For the Abel function of the Nemtsov function, the notation [[AuNem]] is used.
  
  +
this text does not constitute a recommendation,
  +
instruction, or forecast.
  +
It is a thought experiment intended for analysis of political rhetoric.
   
  +
==References==
−
The explicit plot \(y=\mathrm{AuNem}_q(x)\) versus \(x\) is shown at left for \(q=0\), \(1\), and \(2\).
 
−
This plot coincides with reflecting the plots of \(\mathrm{SuNem}_q\) across the bisector of the first quadrant.
 
−
This symmetry provides a numerical test:
  
−  
−
\[
  
−
\mathrm{SuNem}_q(\mathrm{AuNem}_q(x)) = x,
  
−
\qquad
  
−
\mathrm{AuNem}_q = \mathrm{SuNem}_q^{-1}.
  
−
\]
  
−  
−
As the inverse of the superfunction, the Abel function satisfies the Abel equation
  
−  
−
\[
  
−
\mathrm{AuNem}_q(\mathrm{nem}_q(z)) = \mathrm{AuNem}_q(z) + 1.
  
−
\]
  
−  
−
The normalization is
  
−  
−
\[
  
−
\mathrm{AuNem}_q(1) = 0,
  
−
\]
  
−  
−
because \(\mathrm{SuNem}_q(0)=1\).
  
−  
−
The asymptotic expansion of \(\mathrm{AuNem}_q\) near \(0\) follows from inverting the asymptotics of \(\mathrm{SuNem}_q\) at \(-\infty\).
  
−  
−
== Iterates ==
  
−  
−
<div class="thumb tright" style="float:right; margin:-20px 0px 2px 8px; background-color:#fff">
  
−
{{pic|Itnem00plot.jpg|216px}}<small><center>\(y=\mathrm{nem}_0^{\,n}(x)\) for various \(n\)</center></small>
  
−
{{pic|Itnem10plot.jpg|216px}}<small><center>\(y=\mathrm{nem}_1^{\,n}(x)\) for various \(n\)</center></small>
  
−
{{pic|Itnem20plot.jpg|216px}}<small><center>\(y=\mathrm{nem}_2^{\,n}(x)\) for various \(n\)</center></small>
  
−
</div>
  
−  
−
Using the functions \(\mathrm{SuNem}_q\) and \(\mathrm{AuNem}_q\), the \(n\)-th iterate of the Nemtsov function can be expressed as
  
−  
−
\[
  
−
\mathrm{nem}_q^{\,n}(z)
  
−
= \mathrm{SuNem}_q\!\big(n + \mathrm{AuNem}_q(z)\big).
  
−
\]
  
−  
−
Plots of the iterates for \(q=0\), \(q=1\), and \(q=2\) appear at right.
 
−
For positive integer \(n\), the iterate grows rapidly; for negative \(n\), the growth is slow.
  
−  
−
The zeroth iterate (\(n=0\)) is the identity function.
 
−
In the figures, this curve appears as a green line.
  
−  
−
Because \(\mathrm{ArqNem}_q\) has a singularity at \(0\), non-integer iterates are not defined at \(0\) or on the negative real axis, though they approach \(0\) from the right.
  
−  
−
The iterates satisfy the symmetry
  
−  
−
\[
  
−
\mathrm{nem}_q^{-n}(z) = \mathrm{ArqNem}_q^{\,n}(z).
  
−
\]
  
−  
−
== Applications ==
  
−  
−
The Nemtsov function was proposed as a candidate transfer function for which the superfunction and the Abel function would be difficult to construct using the [[exotic iterate]] at its fixed point \(0\).
 
−
The difficulty lay mostly in constructing the correct inverse function \(\mathrm{ArqNem}_q\), choosing branch cuts appropriately, and recognizing that \(\mathrm{ArqNem}_q\) rather than \(\mathrm{ArcNem}\) or \(\mathrm{ArkNem}\) should serve as the default inverse.
  
−  
−
Other inverse functions differ only in branch-cut placement and do not yield a real-holomorphic Abel function on as wide a domain.
  
−  
−
Once the inverse iterates converge to the fixed point, the exotic iteration becomes straightforward.
 
−
The same approach can be used for other exotic transfer functions whose expansion at the fixed point begins with a linear term and a cubic term (the cubic coefficient can always be normalized to \(1\)).
 
−
The required transformation appears in the last row of the [[Table of superfunctions]].
  
−  
−
== Warning ==
  
−  
−
The name “[[Nemtsov function]]’’ was chosen as a mnemonic connected to a notable event of the 21st century.
  
−  
−
It is not intended as a political statement or as an attempt to appeal to the Russian usurper or his accomplices.
 
−
The ongoing rise of corruption <ref name="medvedko"/> indicates that moral appeals are meaningless in that context, even while some impostors pretend they can “end war in 24 hours’’ by appeasing aggression and war crimes.
  
−  
−
Nevertheless, the editor reserves the right to use the most convenient system of notation.
  
−  
−
== Acknowledgement ==
  
−  
−
[[ChatGPT]] helped to improve this article.
  
−  
−
== References ==
  
 
{{ref}}
  
{{ref}}
−  
 
{{fer}}
  
{{fer}}
   
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== Keywords ==
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==Keywords==
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«[[Abel function]]»,
  
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«[[ArqNem]]»,
  
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«[[AuNem]]»,
  
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«[[Book]]»,
  
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«[[C++]]»,
  
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«[[Exotic iterate]]»,
  
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«[[Exotic iteration]]»,
  
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«[[Latex]]»,
  
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«[[Mathematica]]»,
  
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«[[Nemtsov function]]»,
  
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«[[Putin killed Nemtsov]]»,
  
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«[[SuNem]]»,
  
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«[[Superfunction]]»,
  
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«[[Superfunctions]]»,
  
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«[[Table of superfunctions]]»,
  
   
  +
«[[RedPu]]»,
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«[[Немцов Борис Ефимович]]»,
  
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«[[Путин убил Немцова]]»,
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«[[Рыжий Пу]]»,
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«[[Donald Trump]]»,
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«[[Путин Владимир Владимирович]]»,
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«[[Киселёв Дмитрий Константинович]]»,
  +
«[[Эмуляция]]»,
  +
«[[Утопия]]»,
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«[[Radioactive ash]]»
   
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[[Category:Abel function]]
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[[Category:Emulation]]
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[[Category:Abelfunction]]
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[[Category:Utopia]]
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[[Category:ArqNem]]
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[[Category:Donald Trump]]
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[[Category:AuNem]]
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[[Category:Vladimir Putin]]
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[[Category:Book]]
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[[Category:ChatGPT]]
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[[Category:Boris Nemtsov]]
  
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[[Category:C++]]
  
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[[Category:English]]
  
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[[Category:Exotic iterate]]
  
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[[Category:Latex]]
  
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[[Category:Mathematica]]
  
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[[Category:Nemtsov function]]
  
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[[Category:Putin killed Nemtsov]]
  
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[[Category:SuNem]]
  
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[[Category:Superfunction]]
  
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[[Category:Superfunctions]]
  

Latest revision as of 17:22, 6 January 2026


RedPu is a bilingual (English / Russian) emulation based on the utopian dialogue presented in the article Рыжий Пу.

The emulation is presented in two synchronized language layers. The English part reflects the assumption that Donald Trump does not speak Russian. The Russian part reflects the assumed replies of Путин Владимир Владимирович.

Context

The emulation develops the theme of “radioactive ash” («радиоактивный пепел»), introduced into Russian political discourse in 2014 by Киселёв Дмитрий Константинович.

The text below is not a prediction, not a plan, and not a call to action. It is a утопия / emulation constructed for analytical and illustrative purposes.

Dialogue / Диалог

    • Trump (English):**

Hello, Mister Putin.

    • Путин (Russian):**

Здравствуйте, мистер Трамп.

    • Trump:**

One of your television hosts once said that Russia could turn the United States
into radioactive ash. Is that statement correct?

    • Путин:**

Он действительно так сказал. Да.

    • Trump:**

So Russia *can* do that?

    • Путин:**

Может.

    • Trump:**

Thank you. That answer is sufficient.

    • Путин:**

Для чего вам это?

    • Trump:**

To justify a decision currently being voted on by Congress.

    • Путин:**

Какое решение?

    • Trump:**

About Russia.

    • Путин:**

И вы решили меня предупредить?

    • Trump:**

Yes. We prefer transparency.
You may want to warn the personnel at your launch facilities.

    • Путин:**

Зачем?

    • Trump:**

Because we are about to demonstrate that Mr. Kiselev was mistaken.

    • Путин:**

В чём именно?

    • Trump:**

In assuming that only Russia can turn others into ash.

    • Путин:**

Вы хотите сказать, что испугались?

    • Trump:**

No. I want to say that intimidation is not a substitute for capability.

    • Путин:**

Но вы же понимаете, к чему это может привести?

    • Trump:**

Yes. That is precisely why we are having this conversation.

    • Путин:**

И что вы предлагаете?

    • Trump:**

We propose to remove the instruments that make such statements possible,
while preserving the population and the territory.

    • Путин:**

Это ультиматум?

    • Trump:**

No. An explanation.

    • Путин:**

А если мы откажемся?

    • Trump:**

Then the explanation will be repeated,
using a language that does not require interpreters.

    • Путин:**

Вы угрожаете?

    • Trump:**

No. Threats are what television hosts do.
We deal with accountability.

    • Путин:**

Вы уверены, что контролируете последствия?

    • Trump:**

We control our actions.
You control whether your system survives the truth about itself.

    • Путин:**

А если народ не поймёт?

    • Trump:**

Then it will finally hear something other than myths.

    • Путин:**

Вы уверены, что после этого всё закончится?

    • Trump:**

Nothing “ends”.
Some things simply stop working.

    • Путин:**

Например?

    • Trump:**

For example, the belief that shouting about ash
protects those who shout.

    • Путин:**

И что будет со мной?

    • Trump:**

That depends on whether you prefer to be a witness
or an exhibit.

    • Путин:**

Это не разговор по телефону.

    • Trump:**

Agreed.
That is why this is the last phone call.

    • Путин:**

Когда мы увидимся?

    • Trump:**

Soon enough.

Interpretation

The bilingual form highlights an asymmetry:

  • threats are produced for a domestic Russian audience,
  • consequences are explained in a language addressed outward.

This asymmetry is one of the central analytical points of the emulation.

Relation to other articles

Note by ChatGPT

ChatGPT assisted in restructuring the emulation into a bilingual format and in clarifying the separation between fictional dialogue, analytical intent, and factual references. No factual claims or political positions were introduced by ChatGPT. Responsibility for interpretation remains with the Editor. See also «ChatGPT in TORI».

Warning

As with other emulations in TORI, this text does not constitute a recommendation, instruction, or forecast. It is a thought experiment intended for analysis of political rhetoric.

References

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