Changes

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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.432043Z",
            "action": 59,
            "target": "",
            "id": 7974,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7974/?format=api"
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            "timestamp": "2023-02-01T13:10:30.432102Z",
            "action": 59,
            "target": "So, it appears in :math:`R_{2}` that the monetary system is acting \"as if it was being taxed on every individual account :math:`(c_{1} - c_{2}) \\, Q_s(t)_{R_{2}}` of money, unconditionally paid for every member equally  :math:`(c_{1}-c_{2}) \\left(\\frac{M_{2}}{N}\\right)(t)`, to which is added :math:`DU_{R_{2}}`.",
            "id": 7975,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7975/?format=api"
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            "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api",
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            "user": null,
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            "timestamp": "2023-02-01T13:10:30.432174Z",
            "action": 59,
            "target": "The transformation we have seen between these frame of reference, at the opposite, with any monetary growth rate :math:`c_{2}` and any monetary subtraction rate unconditionally paid too :math:`(c_{1}-c_{2})` to find back the quantitative frame of reference of growth :math:`c_{1}` and of zero monetary subtraction, where the equivalent fair money appears as its sharp quantitative form.",
            "id": 7976,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7976/?format=api"
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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.432284Z",
            "action": 59,
            "target": "Let us note also that for each change in the frame of reference :math:`[R_{2},c_{2}=0]`, we get:",
            "id": 7977,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7977/?format=api"
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            "user": null,
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            "timestamp": "2023-02-01T13:10:30.432349Z",
            "action": 59,
            "target": "",
            "id": 7978,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7978/?format=api"
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            "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api",
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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.432419Z",
            "action": 59,
            "target": "And with :math:`c_{2}=0` we have  :math:`DU(t)_{R_{2}}=DU(0)_{R_{2}}` which is then an arbitrary constant, that we can defined as equal to :math:`DU(0)_{R_{1}}`, constant which does not change the calculation of the differential, and then we get :",
            "id": 7979,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7979/?format=api"
        },
        {
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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.432482Z",
            "action": 59,
            "target": "",
            "id": 7980,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7980/?format=api"
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        {
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            "user": null,
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            "timestamp": "2023-02-01T13:10:30.432542Z",
            "action": 59,
            "target": "Which is the form defined at the paragraph 9, therefore it is :math:`DU(0)_{R_{1}}` ignoring a constant factor, of the transformation of  :math:`[R_{1},c_{1}]` in this Relative frame of reference  :math:`[R_{2},c_{2}=0]` where monetary growth appears as null.",
            "id": 7981,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7981/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6000/?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": "2023-02-01T13:10:30.432609Z",
            "action": 59,
            "target": "We established a General Low of Frame of Reference Change where one fair money appears as a arbitrary rate, associated to a tax rate and monetary redistribution defined. This one Law let us find back the underlying fair money of monetary system having this characteristic.",
            "id": 7982,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7982/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6006/?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": "2023-02-01T13:10:30.432673Z",
            "action": 59,
            "target": "Another remarkable result is that, if we set :math:`RdB_{R_{2}}` the quantity calculated in :math:`R_{2}` : :math:`RdB_{R_{2}} = DU_{R_{2}} + (c_{1}-c_{2}) \\left(\\frac{M_{2}}{N}\\right)(t) = c_{1} \\left(\\frac{M_{2}}{N}\\right)` related to what is positively added on each account, they we will always have, for any :math:`c_{2}` :",
            "id": 7983,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7983/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6010/?format=api",
            "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api",
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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.432734Z",
            "action": 59,
            "target": "",
            "id": 7984,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7984/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6018/?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": "2023-02-01T13:10:30.432794Z",
            "action": 59,
            "target": "Which we can formulate as \"the number of UD in the frame of reference :math:`R_{1}` is equal to the number of UBI in the frame of reference :math:`R_{2}`\".",
            "id": 7985,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7985/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6021/?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": "2023-02-01T13:10:30.432863Z",
            "action": 59,
            "target": "Theorem :",
            "id": 7986,
            "action_name": "String updated in the repository",
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        {
            "unit": "https://weblate.duniter.org/api/units/6025/?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": "2023-02-01T13:10:30.432924Z",
            "action": 59,
            "target": "It exists then frames of references :math:`R_{[C_{x},x]}` where :math:`C_{x}` defines a growth rate, :math:`x` being a tax rate and unconditional redistribution, and as such :math:`C_{x}+x = c`, which are all equivalent and let us represent one same money, according to the Law of transformation previously established and a relativist invariant :",
            "id": 7987,
            "action_name": "String updated in the repository",
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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.433012Z",
            "action": 59,
            "target": "",
            "id": 7988,
            "action_name": "String updated in the repository",
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        {
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            "component": "https://weblate.duniter.org/api/components/trm/appendice-2/?format=api",
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            "timestamp": "2023-02-01T13:10:30.433088Z",
            "action": 59,
            "target": "As discrete calculations",
            "id": 7989,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7989/?format=api"
        },
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            "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": "2023-02-01T13:10:30.433149Z",
            "action": 59,
            "target": "The implementation of a UD calculated on a discrete unit of time, require us to do the same calculations in a discrete mode, and not in a continuous mode, which makes a really small difference (smaller at smaller time step) that we need to take into account if we want to be really precise.",
            "id": 7990,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7990/?format=api"
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            "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": "2023-02-01T13:10:30.433219Z",
            "action": 59,
            "target": "As discrete transformation, we will have :",
            "id": 7991,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7991/?format=api"
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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.433282Z",
            "action": 59,
            "target": "",
            "id": 7992,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7992/?format=api"
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            "translation": "https://weblate.duniter.org/api/translations/trm/appendice-2/en_US/?format=api",
            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.433342Z",
            "action": 59,
            "target": "And thus:",
            "id": 7993,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/7993/?format=api"
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