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{ "count": 979, "next": "https://weblate.duniter.org/api/components/trm/appendice-2/changes/?format=api&page=21", "previous": "https://weblate.duniter.org/api/components/trm/appendice-2/changes/?format=api&page=19", "results": [ { "unit": "https://weblate.duniter.org/api/units/6117/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.434661Z", "action": 59, "target": "Variations of N and calculation of UD", "id": 8014, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8014/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6119/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.434720Z", "action": 59, "target": "Given prior analyze, one should bear in mind that it's the convergence of half life that is the target reached by a fair money, new entrants replacing dead human being (see about this the forms :eq:`eq4` et :eq:`eq14` concerning the time condition valid for any individual).", "id": 8015, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8015/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6121/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.434781Z", "action": 59, "target": "It is not a question, seeking a practical method for calculating the UD, to estimate by looking only at the local differential calculus. Keep in mind the fundamental operation of a free currency which is also to ensure for every human, during its life, especially in the center of time symmetry, in half-life, the same relative part of money as its predecessors and successors to the same point.", "id": 8016, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8016/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6123/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.434843Z", "action": 59, "target": "In particular, one should be convinced by thinking of the necessity to approach the practical solution by taking into consideration these extreme cases, as the one of the strongest growth of the number of members of a fair money (equivalent to a pseudo-initialization of the money), where the calculated UD in relative ( :math:`DU(t)=c\\left(\\frac{M}{N}\\right)(t)` ) will suffer a huge discontinuity, destroying the continuity of the progression, and would become extremely low compared to initial fewer participants, and would own in this case a huge share of money compared to the new entrants, unrelated to the calculated UD.", "id": 8017, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8017/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6125/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.434907Z", "action": 59, "target": "In other words, more mathematically, the fundamental equations :eq:`eq1` and :eq:`eq4` analysis expressed in the form of a free currency, have no identified solutions only for :math:`\\left(\\frac{M}{N}\\right)` continuous and differentiable (or quasi-continuous and almost differentiable), so it will require to be closed as best as possible in case of discontinuous variations.", "id": 8018, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8018/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6127/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.434981Z", "action": 59, "target": "This reflection joins the need to have a UD(t = 0) not relative, because to establish a monetary proportion, it is still necessary that the currency exists first. We understand that in this case there will then be the convergence of phenomena between the initialization of a free currency and the huge increase in the number of members of an installed currency. The solution complies with the RMT, needed to be independent of time (principle of relativity), we now understand that we must in these cases establish a non-relative amount of UD(t), so a fixed amount and stable until the relative area is reached.", "id": 8019, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8019/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6129/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435047Z", "action": 59, "target": "N(t) is unknown, so to assess the form of a general method of practical generation, we need a method simpler and more readable, we can approach via modeling of the variation of N in the form :math:`dN(t)=\\alpha N(t)` or :math:`N(t+dt)=N(t)+dN(t)=(1+\\alpha)N(t)` and take an approximation for M according to :math:`M(t+dt) \\approx (1+c) M(t)`.", "id": 8020, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8020/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6131/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435109Z", "action": 59, "target": "One should note that : :math:`\\alpha` must be understood as generally \"small\" in duration of the order of :math:`\\left( \\frac{ev}{2} \\right)`, et even before c. Indeed, on the experimental basis of France, between 1950 and 1990, population changed from 41 to 56 million, which corresponds to :math:`\\alpha = \\frac{ln(\\frac{56}{41})}{40} = 0,78 \\%`/year whereas :math:`c=\\frac{ln(40)}{40}=9,22 \\%`/year.", "id": 8021, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8021/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6133/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435178Z", "action": 59, "target": "We get an approximation of the differential variation in Dividend:", "id": 8022, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8022/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6135/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435240Z", "action": 59, "target": "", "id": 8023, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8023/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6137/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435300Z", "action": 59, "target": "Hence we deduce a first form:", "id": 8024, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8024/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6139/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435361Z", "action": 59, "target": "", "id": 8025, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8025/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6141/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435420Z", "action": 59, "target": "And a second form approximated to first order (\"c\" being small):", "id": 8026, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8026/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6143/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435486Z", "action": 59, "target": "", "id": 8027, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8027/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6145/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435546Z", "action": 59, "target": "A simple lower bound appears for :math:`\\alpha` positive if :math:`\\alpha \\approx c` we have :math:`DU(t+dt) \\approx DU(t)`, and another simple lower bound appears for :math:`\\alpha` small and negative, that we are happy to find in this form, since it is very close to the definition: :math:`DU(t) = c \\, \\frac{M(t)}{N(t)}`.", "id": 8028, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8028/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6147/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435607Z", "action": 59, "target": "From these two minimum limits revealed by this approximation we can derive a simple practical calculation of UD, showing a quantitative form and another relative one, adapting flexibly to evolutions in N:", "id": 8029, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8029/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6149/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435676Z", "action": 59, "target": "", "id": 8030, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8030/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6151/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435737Z", "action": 59, "target": "In particular it is recognized that for N stable, form will quickly converge to its fundamental relative expression (which is absolutely necessary):", "id": 8031, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8031/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6158/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435798Z", "action": 59, "target": "", "id": 8032, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8032/?format=api" }, { "unit": "https://weblate.duniter.org/api/units/6163/?format=api", "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api", "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api", "user": null, "author": null, "timestamp": "2023-02-01T13:10:30.435879Z", "action": 59, "target": "This form is extremely convenient especially for the development of an independent free currency from scratch, but also equivalently to manage flexibly the unpredictable variations of N, while having an invariant distribution in space and time and without going away from the basic form.", "id": 8033, "action_name": "String updated in the repository", "url": "https://weblate.duniter.org/api/changes/8033/?format=api" } ] }