{"count":1261,"next":"https://weblate.duniter.org/api/components/trm/appendice-2/changes/?format=json&page=47","previous":"https://weblate.duniter.org/api/components/trm/appendice-2/changes/?format=json&page=45","results":[{"unit":"https://weblate.duniter.org/api/units/6423/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:37:46.065253Z","action":5,"target":"\\left(\\frac{M_{1}}{N_{1}}\\right)(t)= \\left(\\frac{M_{1}}{N}\\right)(0) \\, (1+c)^t","id":21361,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21361/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6424/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:38:24.736658Z","action":2,"target":"Y, por lo tanto:","id":21363,"action_name":"Translation changed","url":"https://weblate.duniter.org/api/changes/21363/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6425/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:38:31.057038Z","action":5,"target":"t = \\frac{ln \\left[ \\frac{ \\left(\\frac{M_{1}}{N}\\right)(t) }{ \\left(\\frac{M_{1}}{N}\\right)(0)} \\right]}{ln \\left( 1+c \\right)}","id":21364,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21364/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6426/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:38:55.897397Z","action":5,"target":"Lo que implica:","id":21365,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21365/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6427/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:39:02.792430Z","action":5,"target":"\\left(\\frac{M_{2}}{N}\\right)(t) = \\left(\\frac{M_{1}}{N}\\right)(0) \\left[ \\frac{\\left(\\frac{M_{1}}{N}\\right) (t)}{\\left(\\frac{M_{1}}{N}\\right) (0)} \\right]^{\\left[ \\frac{ln(1+c_{2})}{ln(1+{c_{1})}} \\right] }","id":21366,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21366/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6428/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:39:13.094345Z","action":5,"target":"Q_s(t)_{R_{2}} = Q_s(t)_{R_{1}} \\left[ \\frac{\\left(\\frac{M_{2}}{N}\\right) (t)}{\\left(\\frac{M_{1}}{N}\\right) (t)} \\right] = Q_s(t)_{R_{1}} \\left[ \\frac{\\left(\\frac{M_{1}}{N}\\right) (t)}{\\left(\\frac{M_{1}}{N}\\right) (0)} \\right]^{\\left[ \\frac{ln(1+c_{2})}{ln(1+{c_{1})}} - 1 \\right]}","id":21367,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21367/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6429/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:39:56.712238Z","action":5,"target":"Ahora vamos a recuperar el \"tipo de tasa impositiva\" aparente, de acuerdo únicamente a los datos ya calculados a partir de :math:`R_{1}`. Esto es necesario para poder realizar en la práctica un cambio de referencial sencillo y directo únicamente con los datos del referencial fundamental.","id":21368,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21368/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6430/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:41:01.232845Z","action":5,"target":"El motivo es que, en cálculo discreto, varias opciones son posibles para calcular las derivadas aproximadas de una función dependiendo de si se toman los datos en el instante \"t\" o en el instante \"t+1\".","id":21369,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21369/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6431/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:41:23.314878Z","action":5,"target":"En :math:`R_{1}` tenemos la igualdad:","id":21370,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21370/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6432/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:41:30.531750Z","action":5,"target":"DU_{R_{1}}(t) - \\left[ Q_s(t+1)_{R_{1}} - Q_s(t)_{R_{1}} \\right] = 0","id":21371,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21371/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6433/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:42:31.881819Z","action":5,"target":"Apliquemos la transformación de :math:`{R_{1}}` a :math:`{R_{2}}` multiplicando por :math:`\\left[ \\frac{\\left(\\frac{M_{2}}{N}\\right) (t)}{\\left(\\frac{M_{1}}{N}\\right) (t)} \\right]` y resaltando que: :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]`, obtenemos:","id":21372,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21372/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6434/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:42:46.413104Z","action":5,"target":"RdB_{R_{2}}(t) - \\left[ Q_s(t+1)_{R_{2}} \\frac{(1+c_{1})}{(1+c_{2})} - Q_s(t)_{R_{2}} \\right] = 0","id":21373,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21373/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6435/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:45:07.931813Z","action":5,"target":"En :math:`R_{2}`, siendo :math:`c_{2}` la tasa de crecimiento monetario, la tasa de \"impuesto aparente\" equivalente es, como hemos visto previamente con el cálculo continuo, la tasa :math:`c_{1}-c_{2}`, y de la ecuación anterior recuperamos este valor mediante el cálculo exacto:","id":21374,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21374/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6436/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:45:17.338786Z","action":5,"target":"c_{1}-c_{2} = (1+c_{2}) \\, \\left( \\frac{RdB_{R_{2}}(t) - \\left[ Q_s(t+1)_{R_{2}} - Q_s(t)_{R_{2}} \\right]}{Q_s(t+1)_{R_{2}}} \\right)","id":21375,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21375/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6437/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:45:43.151239Z","action":5,"target":"Todos los términos de la derecha ya han sido calculados por transformación directa de :math:`R_1`.","id":21376,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21376/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6438/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:46:41.726406Z","action":5,"target":"Tenemos una ratio calculada entre los valores tomados en la ocurrencia \"t\" y otros en la ocurrencia \"t+1\", lo que es de esperar en el cálculo de una derivada discreta.","id":21377,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21377/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6439/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:48:06.404831Z","action":5,"target":"No sorprende la presencia del factor :math:`(1+c_2)` puesto que la tasa de expansión discreta de :math:`R_{2}`, multiplicada por los datos \"t\" da una aproximación de los datos en \"t+1\". Así que, debemos entender que esto produce un buen valor intermedio del numerador entre \"t\" y \"t+1\".","id":21378,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21378/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6440/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:49:21.050565Z","action":5,"target":"Por lo tanto, tenemos aquí el cálculo instantáneo del \"impuesto aparente\" en :math:`R_{2}` a partir de datos derivados directamente de :math:`R_{1}`, que permite la visualización: :math:`RdB_{R_{2}} = DU_{R_{2}} + (impuesto \\, aparente)_{R_{2}}`.","id":21379,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21379/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6441/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:49:54.341108Z","action":5,"target":"Por último, observando que :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)` también podemos obtener el cálculo de esta tasa aparente en diferencial discreta en la forma:","id":21380,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21380/?format=json"},{"unit":"https://weblate.duniter.org/api/units/6442/?format=json","component":"https://weblate.duniter.org/api/components/trm/appendice-2/?format=json","translation":"https://weblate.duniter.org/api/translations/trm/appendice-2/es/?format=json","user":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","author":"https://weblate.duniter.org/api/users/santiajedrez/?format=json","timestamp":"2024-05-07T01:50:19.364988Z","action":5,"target":"(impuesto \\, aparente)_{R_{2}} = (c_{1}-c_{2})\\left[\\frac{Q_s(t)_{R_{2}} + c_{1}\\left(\\frac{M_{2}}{N}\\right)}{(1+c_1)}\\right]","id":21381,"action_name":"New translation","url":"https://weblate.duniter.org/api/changes/21381/?format=json"}]}