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            "id": 7994,
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            "action": 59,
            "target": "Which implies:",
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            "id": 7997,
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            "action": 59,
            "target": "Now we will retrieve the \"tax rate\" according only to the data already calculated from :math:`R_{1}`. This is necessary to be able to do in practice a frame of reference change simple and direct with only data from the fundamental frame of reference.",
            "id": 7998,
            "action_name": "String updated in the repository",
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            "timestamp": "2023-02-01T13:10:30.433719Z",
            "action": 59,
            "target": "The reason is that in discrete calculation several options are possible depending on the data we take at a time \"t\" or at a time \"t+1\" to calculate the estimated differentials of a function.",
            "id": 7999,
            "action_name": "String updated in the repository",
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            "timestamp": "2023-02-01T13:10:30.433784Z",
            "action": 59,
            "target": "In  :math:`R_{1}` we will have the equality :",
            "id": 8000,
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            "timestamp": "2023-02-01T13:10:30.433845Z",
            "action": 59,
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            "id": 8001,
            "action_name": "String updated in the repository",
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            "timestamp": "2023-02-01T13:10:30.433905Z",
            "action": 59,
            "target": "Let us apply the transformation of :math:`{R_{1}}` to :math:`{R_{2}}` by multiplying by :math:`\\left[ \\frac{\\left(\\frac{M_{2}}{N}\\right) (t)}{\\left(\\frac{M_{1}}{N}\\right) (t)} \\right]` and by noting that :math:`\\left[\\frac{\\left(\\frac{M_{2}}{N}\\right) (t)}{\\left(\\frac{M_{1}}{N}\\right) (t)}\\right] = \\frac{(1+c_{1})}{(1+c_{2})} \\left[ \\frac{\\left(\\frac{M_{2}}{N}\\right) (t+1)}{\\left(\\frac{M_{1}}{N}\\right) (t+1)}\\right]`, we get :",
            "id": 8002,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8002/?format=api"
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        {
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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": "2023-02-01T13:10:30.433974Z",
            "action": 59,
            "target": "",
            "id": 8003,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8003/?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": "2023-02-01T13:10:30.434036Z",
            "action": 59,
            "target": "In :math:`R_{2}` monetary growth rate being :math:`c_{2}` the rate of the \"appearing tax\" equivalent is, as we saw earlier with the continuous calculation, the rate :math:`c_{1}-c_{2}`, and the previous equation we retrieve this value from the exact calculation :",
            "id": 8004,
            "action_name": "String updated in the repository",
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            "user": null,
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            "timestamp": "2023-02-01T13:10:30.434105Z",
            "action": 59,
            "target": "",
            "id": 8005,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8005/?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": "2023-02-01T13:10:30.434167Z",
            "action": 59,
            "target": "All the right terms being already calculated by direct transformation from  :math:`R_1`.",
            "id": 8006,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8006/?format=api"
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        {
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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": "2023-02-01T13:10:30.434228Z",
            "action": 59,
            "target": "We have a ratio calculated between values taken at the occurrence \"t\" and other at the occurrence \"t+1\" which is expected in the calculation of a discrete differential.",
            "id": 8007,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8007/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6105/?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": "2023-02-01T13:10:30.434289Z",
            "action": 59,
            "target": "The presence of the factor  :math:`(1+c_2)` is not surprising since it is the expansion rate discrete of :math:`R_{2}`, which multiplied by the data \"t\" gives an approximation of the data in \"t+1\". We should now understand that it produces a good intermediary value of the numerator between \"t\" and \"t+1\".",
            "id": 8008,
            "action_name": "String updated in the repository",
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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": "2023-02-01T13:10:30.434356Z",
            "action": 59,
            "target": "We have here the instantaneous calculation of the \"apparent tax\" in  :math:`R_{2}` from data directly taken from :math:`R_{1}`, letting a display :math:`RdB_{R_{2}} = DU_{R_{2}} + (apparent tax)_{R_{2}}`.",
            "id": 8009,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8009/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6109/?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": "2023-02-01T13:10:30.434419Z",
            "action": 59,
            "target": "Finally, by noting that :math:`RdB_{R_{2}} = DU_{R_{2}} + (c_{1}-c_{2})  \\left(\\frac{M_{2}}{N}\\right) = c_{1}\\left(\\frac{M_{2}}{N}\\right)` we can get the calculation of the apparent tax in discrete differential in the form of :",
            "id": 8010,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8010/?format=api"
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            "user": null,
            "author": null,
            "timestamp": "2023-02-01T13:10:30.434480Z",
            "action": 59,
            "target": "",
            "id": 8011,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8011/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6113/?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": "2023-02-01T13:10:30.434540Z",
            "action": 59,
            "target": "This form use again the tax rate  :math:`(c_1 - c_2)` applied to the account increased of the UBI (targeting its value in \"t+1\", without tax), and brought back to this value approximated in \"t+1\" to its value in \"t\" by the division by : :math:`(1+c_1)`.",
            "id": 8012,
            "action_name": "String updated in the repository",
            "url": "https://weblate.duniter.org/api/changes/8012/?format=api"
        },
        {
            "unit": "https://weblate.duniter.org/api/units/6115/?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": "2023-02-01T13:10:30.434600Z",
            "action": 59,
            "target": "We immediately note that when the account is worth the average, the theoretical tax is applied directly to  the account without intermediary approximation.",
            "id": 8013,
            "action_name": "String updated in the repository",
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