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verdigris
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Why is there a prize of $1 million for showing that there are smooth solutions to the Navier-Stokes equations throughout time.Why isn't the prize being offered for finding what the solutions actually are?
The prize of $1 million is intended to incentivize and reward individuals who are able to demonstrate the existence of something that has not yet been proven or discovered. It encourages scientific exploration and innovation, as well as provides recognition and financial support for groundbreaking research.
The $1 million prize is typically offered by organizations or individuals who are interested in promoting scientific advancements and discoveries. These could include private foundations, government agencies, or wealthy individuals who have a passion for scientific progress.
The specific requirements for winning the $1 million prize may vary depending on the organization or individual offering it. Generally, there will be a set of criteria or guidelines that must be met in order to qualify for the prize. This could include providing evidence or proof of the existence of the subject, as well as meeting any other specific requirements set by the sponsor of the prize.
There have been several instances where individuals or teams have won the $1 million prize for demonstrating the existence of something. For example, in 2004, a Russian mathematician named Grigori Perelman was awarded the $1 million Millennium Prize for solving the Poincaré conjecture, a major unsolved problem in mathematics. There have also been prizes awarded for demonstrating the existence of new species, energy sources, and medical breakthroughs.
The $1 million prize for showing that there are can have a significant impact on the scientific community. It can serve as a source of motivation for researchers to pursue ambitious and groundbreaking projects, as well as provide recognition and financial support for their work. It also brings attention to important scientific discoveries and can inspire others to continue pushing the boundaries of knowledge and understanding. In some cases, the prize money may also be used to fund further research and advancements in the field.