The Congress of Vienna was held in order for the powers of Europe to settle territories and boundaries after the fall of Napoleon's Empire in the early 1800's. The conservatives such as Austria and Prussia were quite dominant during the Congress. Their goal was to set some sort of legitimacy in the system that rules Europe, and to balance out power in the continent. France was quite vulnerable and unstable due to its background. However, instability of government was also the case for other European countries. The reason why the conservatives had their goals, is because the liberalism incited by the French Revolution has been consistent with manifesting that it has failed to keep a government's stability. Therefore, it was actually the conservatives who were successful during the Congress, as they were able to achieve their goal of keeping Europe peaceful for about a century.
The catholic church wanted to share power with the emperor, so the coronation was an occasion to say in a very public way that the right to make a person king was in the hand of the church, thus making the church itself a very powerful entity who could in fact play a crucial role in the balance power of the period, as it was in many occasion.
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So much so that carbon emissions from coal in the U.S. electricity sector are more than 50% lower today than just a decade ago. This is a result of the declining economics of coal power plants due to low natural gas prices, increasing numbers of low-cost renewable plants, and more stringent environmental regulations.
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The system of checks and balances is an important part of the Constitution. With checks and balances, each of the three branches of government can limit the powers of the others. Without checks and balances one branch would be too overpowered.
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