The NEM Problem - Revision history

VinoVeritas: 16 revisions imported

2021-08-08T16:46:52Z

16 revisions imported

← Older revision	Revision as of 18:46, 8 August 2021
(No difference)

en>SolarStar: /* Solving */

2015-06-11T19:54:45Z

Solving

← Older revision		Revision as of 21:54, 11 June 2015
Line 7:		Line 7:

	=Solving=		=Solving=
	To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf] <br />		To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. <br />
			As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''','''g''' and '''M''' (for Mule Capacity is a scalar) will remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf] <br />

	----		----

en>SolarStar: /* Solving */

2015-06-11T19:18:19Z

Solving

← Older revision		Revision as of 21:18, 11 June 2015
Line 12:		Line 12:

	[[File:NEMeq.jpg\|thumb\|600px\|center\|Preview NEM equations]]		[[File:NEMeq.jpg\|thumb\|600px\|center\|Preview NEM equations]]


	~~----~~

	=Calculators=		=Calculators=

	...work in progress...		...work in progress...

en>SolarStar at 19:18, 11 June 2015

2015-06-11T19:18:00Z

← Older revision		Revision as of 21:18, 11 June 2015
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	----		----

			=Calculators=

			...work in progress...

en>SolarStar: /* Solving */

2015-06-11T19:16:19Z

Solving

← Older revision		Revision as of 21:16, 11 June 2015
Line 8:		Line 8:
	=Solving=		=Solving=
	To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf] <br />		To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf] <br />
	[[File:NEMeq.jpg\|thumb\|600px\|center\|Preview ~~NEW~~ equations]]
			----

			[[File:NEMeq.jpg\|thumb\|600px\|center\|Preview NEM equations]]


			----

en>SolarStar: /* Solving */

2015-06-11T19:13:54Z

Solving

← Older revision		Revision as of 21:13, 11 June 2015
Line 7:		Line 7:

	=Solving=		=Solving=
	To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]		To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf] <br />
	[[File:NEMeq.jpg\|thumb\|600px\|center\|Preview NEW equations]]		[[File:NEMeq.jpg\|thumb\|600px\|center\|Preview NEW equations]]

en>SolarStar: /* Solving */

2015-06-11T19:13:23Z

Solving

← Older revision		Revision as of 21:13, 11 June 2015
Line 8:		Line 8:
	=Solving=		=Solving=
	To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]		To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]
			[[File:NEMeq.jpg\|thumb\|600px\|center\|Preview NEW equations]]

en>SolarStar: /* Solving */

2015-06-11T19:06:38Z

Solving

← Older revision		Revision as of 21:06, 11 June 2015
Line 7:		Line 7:

	=Solving=		=Solving=
	To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix Y, which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix T is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector N which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]		To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix '''Y''', which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix '''T''' is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector '''N''' which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]

en>SolarStar: /* Solving */

2015-06-11T19:06:07Z

Solving

← Older revision		Revision as of 21:06, 11 June 2015
Line 7:		Line 7:

	=Solving=		=Solving=
	To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix Y, which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. e,f and g remain variables. Matrix T is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector N which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]		To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix Y, which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. '''e''','''f''' and '''g''' remain variables. Matrix T is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector N which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]

en>SolarStar: /* Solving */

2015-06-11T18:58:15Z

Solving

← Older revision		Revision as of 20:58, 11 June 2015
Line 7:		Line 7:

	=Solving=		=Solving=
	To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix Y, which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same ~~pathlength~~ and same speed starting from opposite bags. This progress we will define as one turn. e,f and g remain variables. Matrix T is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector N which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]		To solve the problem it soon becomes clear, that all locations and the amounts of ingredients in the bags and in storage need to be taken into account. To simplify the math it is also advisable to calculate in a common unit, which is in this case emu. We do not want to intruduce numbers too soon but work with variables to make it work for a wide application. For the conversion we introduce a matrix Y, which we will use in the end to reverse the process and return to the number of items. While analysing the problem, it seemed logical to generate a seperate Transport Matrix for each way. The numbers "-1" and "1" mean to take or to put something from and in a bag respectively. As a thought experiment one can imagine that there are two mules with identical mule capacity and same path length and same speed starting from opposite bags. This progress we will define as one turn. e,f and g remain variables. Matrix T is used to balance the ingredients in each bag. We regard the transport as finished and look at the bags again to calculate how many more iron ore and coal need to be harvested in each place. It is important to note that the number of foreign ingredients do not change at this point anymore. This is only in theory. For practical use, harvesting and transporting ingredients can happen at the same time. At last we want to introduce a vector N which contains the multiplictors for the ingredients for the final product. Please read paper from 11.06.15 [https://drive.google.com/file/d/0BzdNczFxfj7wS0hGX2k3MWl5Nnc/view NEMv2.pdf]