basics:energy_and_ecology:about_growth
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basics:energy_and_ecology:about_growth [2024/10/31 11:06] – [(2) The role of efficiency factors] yaling.hsiao@passiv.de | basics:energy_and_ecology:about_growth [2024/10/31 11:14] (current) – yaling.hsiao@passiv.de | ||
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(4) Is it all just theory? A few concrete implementation approaches; Viewed in light: There' | (4) Is it all just theory? A few concrete implementation approaches; Viewed in light: There' | ||
- | ==== (1) The historical analysis: Even in the past growth has not been exponential over extended periods ==== | + | ==== The historical analysis: Even in the past growth has not been exponential over extended periods ==== |
[{{ : | [{{ : | ||
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- | ====(2) The role of efficiency factors ==== | + | ==== The role of efficiency factors ==== |
Here I am only talking about material and energy efficiency, which is important in this context. The topic of energy efficiency is dealt with in detail on the Passipedia pages, e.g. [[https:// | Here I am only talking about material and energy efficiency, which is important in this context. The topic of energy efficiency is dealt with in detail on the Passipedia pages, e.g. [[https:// | ||
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- | ====(3) Some math: The sum of the infinite geometric series converges! ==== | + | ==== Some math: The sum of the infinite geometric series converges! ==== |
This is not new, almost everyone has had it at some point in school - of course not discussed with the practical implications that it has; As is often the case with mathematical findings: Many of them are much more relevant than the mostly dry mathematics lessons make it seem; This can be really exciting in many places!\\ \\ | This is not new, almost everyone has had it at some point in school - of course not discussed with the practical implications that it has; As is often the case with mathematical findings: Many of them are much more relevant than the mostly dry mathematics lessons make it seem; This can be really exciting in many places!\\ \\ | ||
First the facts: Let $q$ be a factor with an absolute value smaller than 1. Then the ' | First the facts: Let $q$ be a factor with an absolute value smaller than 1. Then the ' | ||
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a **finite value**. If you find the following box with the formulas too challenging, | a **finite value**. If you find the following box with the formulas too challenging, | ||
- | {{ : | + | {{ : |
For this the notation with the sum sign $\sum$ has become common in mathematics: | For this the notation with the sum sign $\sum$ has become common in mathematics: | ||
$\; | $\; | ||
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Let’s approach these questions with an open mind. It would not be the first time that a simple mathematical analysis actually solves a question that has long been considered ' | Let’s approach these questions with an open mind. It would not be the first time that a simple mathematical analysis actually solves a question that has long been considered ' | ||
- | ==== (4) Is it all just theory? ==== | + | ==== Is it all just theory? ==== |
No! This is already in many applications common practice today((The problem is, it's not been followed consequently.)) . There is already a lot available on Passipedia: namely, concrete descriptions of the measures that go down to the " | No! This is already in many applications common practice today((The problem is, it's not been followed consequently.)) . There is already a lot available on Passipedia: namely, concrete descriptions of the measures that go down to the " |
basics/energy_and_ecology/about_growth.1730369196.txt.gz · Last modified: by yaling.hsiao@passiv.de