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Overview

Project website gitlab.com/libre-money-projects/theorie-relative-de-la-monnaie
Project maintainers User avatar kapis User avatar Moul User avatar PifPafPouf
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  • The translation uses bilingual files.
Source code repository git@git.duniter.org:documents/theorie-relative-de-la-monnaie.git
Repository branch master
Last remote commit Pipfile matching the requirements f4849b8
Toover authored 6 months ago
Last commit in Weblate Translated using Weblate (Spanish) 2506d96
User avatar nenamaca authored 6 months ago
Weblate repository https://weblate.duniter.org/git/trm/theorie-relative-de-la-monnaie/
File mask source/locale/*/LC_MESSAGES/solutions.po
Translation file Download source/locale/en_US/LC_MESSAGES/solutions.po
Last change March 24, 2023, 9:40 p.m.
Last author Pif Paf Pouf

String statistics

Strings percent Hosted strings Words percent Hosted words Characters percent Hosted characters
Total 63 1,944 12,573
Translated 100% 63 100% 1,944 100% 12,573
Needs editing 0% 0 0% 0 0% 0
Failing checks 0% 0 0% 0 0% 0
Strings with suggestions 0% 0 0% 0 0% 0
Untranslated strings 0% 0 0% 0 0% 0
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User avatar PifPafPouf

Translation changed

TRM / solutions — English (United States)

**Les systèmes monétaires compatibles avec le principe de relativité et les** **trois libertés économiques sont les systèmes monétaires à dividende universel** **dont la valeur est une proportion :math:`c` de la masse monétaire qui dépend de** **l'espérance de vie moyenne de la zone monétaire considérée sous la forme :**
**The monetary systems which are compatible with the principle of relativity and the three economic freedoms are monetary systems with a Universal Dividend whose value is a proportion :math:`c` of the money supply which depends on the average human lifetime of the considered economic zone. The equation to calculate the UD should then be similar to:**
6 months ago
User avatar PifPafPouf

Translation changed

TRM / solutions — English (United States)

\frac{\partial ^{2}M}{\partial t \partial x} = 0
\frac{\partial ^{2}M}{\partial t \partial x} = 0
6 months ago
User avatar PifPafPouf

Translation changed

TRM / solutions — English (United States)

\frac{dM}{dx} = 0
\frac{dM}{dx} = 0
6 months ago
User avatar PifPafPouf

New translation

TRM / solutions — English (United States)

\frac{ln(ev)}{ev} \leq c \leq \frac{ln(ev/2)}{(ev/2)}
\frac{ln(ls)}{ls} \leq c \leq \frac{ln(ls/2)}{(ls/2)}
6 months ago
User avatar PifPafPouf

Translation changed

TRM / solutions — English (United States)

**Les systèmes monétaires compatibles avec le principe de relativité et les** **trois libertés économiques sont les systèmes monétaires à dividende universel** **dont la valeur est une proportion :math:`c` de la masse monétaire qui dépend de** **l'espérance de vie moyenne de la zone monétaire considérée sous la forme :**
**The monetary systems which are compatible with the principle of relativity and the three economic freedoms are monetary systems with a Universal Dividend whose value is a proportion “c”:math:`c` of the money supply which depends on the average human lifetime of the considered economic zone. The equation to calculate the UD should then be similar to:
6 months ago
User avatar PifPafPouf

New translation

TRM / solutions — English (United States)

c \approx \frac{ln(ev/2)}{(ev/2)}
c \approx \frac{ln(ls/2)}{(ls/2)}
6 months ago
User avatar PifPafPouf

Translation changed

TRM / solutions — English (United States)

Comme nous l'avons remarqué précédemment on ne peut se satisfaire complètement de cette valeur car le centre de symétrie temporel est placé à :math:`ev/2` et pas à :math:`ev`. Il s'agit donc ici d'une valeur minimale pour :math:`c`, qui va dans le sens de l'avantage pour les générations sortantes (pour les plus âgés). Le même raisonnement pour :math:`ev/2` nous donne donc une valeur en accord avec la symétrie centrale :
As we have noted before we cannot be totally satisfied with this value because the center of the temporal symmetry is placed at ev:math:`ls/2` and not at ev:math:`ls`. It is thus here a minimal value for c, that goes in the way of giving the advantage to the leaving generation (the older ones). The same reasoning for “ev:math:`ls/2”` gives us a value in accordance with central symmetry:
6 months ago
User avatar PifPafPouf

New translation

TRM / solutions — English (United States)

& c \approx - \frac{1}{ev}ln(\frac{1}{ev}) \\
\Leftrightarrow \thickspace & c \approx \frac{ln(ev)}{ev}
& c \approx - \frac{1}{ls}ln(\frac{1}{ls}) \\
\Leftrightarrow \thickspace & c \approx \frac{ln(ls)}{ls}
6 months ago
User avatar PifPafPouf

Translation changed

TRM / solutions — English (United States)

:math:`c` étant petit on démontre mathématiquement (développement limité) que cela peut aussi s'écrire :
“c”:math:`c` being small we mathematically demonstrate (limited development) that it can also be written as:
6 months ago
User avatar PifPafPouf

New translation

TRM / solutions — English (United States)

& M(t + ev) = ev * M(t) \\
\Leftrightarrow \thickspace & \frac{M(t)}{M(t + ev)} = \frac{1}{ev} \\
\Leftrightarrow \thickspace & \frac{(1 + c)^t}{(1 + c)^{(t + ev)}} = \frac{1}{ev} \\
\Leftrightarrow \thickspace & (1 + c)^{ev} = ev \\
\Leftrightarrow \thickspace & c = ev^{\frac{1}{ev}} - 1
& M(t + ls) = ls * M(t) \\
\Leftrightarrow \thickspace & \frac{M(t)}{M(t + ls)} = \frac{1}{ls} \\
\Leftrightarrow \thickspace & \frac{(1 + c)^t}{(1 + c)^{(t + ls)}} = \frac{1}{ls} \\
\Leftrightarrow \thickspace & (1 + c)^{ls} = ls \\
\Leftrightarrow \thickspace & c = ls^{\frac{1}{ls}} - 1
6 months ago
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