Sign-Changing Critical Point Theory


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This graphic does Most people recognize that these things are true when it comes to science. A scientific consensus doesn't pop up overnight, or in places where there are legitimate scientific controversies with multiple, equally good explanations. It's why every physicist agrees on what you'll see when you perform a double-slit experiment there is consensus , but physicists don't agree on which interpretation of quantum mechanics is preferable there is no consensus. Electrons exhibit wave properties as well as particle properties, and can be used to construct Here, you can see the results of an experiment where electrons are fired one-at-a-time through a double-slit.

Once enough electrons are fired, the interference pattern can clearly be seen. A consensus will only arise when a theory is good enough to make predictions that are robust, verified by multiple lines of evidence, backed up by a statistically significant amount of data, and where definitive observations have been taken that discern one particular theory's predictions from the others. It's why General Relativity is the consensus theory of gravity, but also why we continue to challenge it with new observations in regimes where it hasn't yet been tested.

It's why evolution, via the mechanism of genetic mutation and natural selection, is the consensus theory on the origin of the species currently found on Earth. It's why vaccination and fluoridation are overwhelmingly recommended by public health experts as near-universal goods, while vitamins are only recommended for those with nutritional deficiencies.

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This map shows a county-by-county breakdown of opt-out vaccination rates in the states that allow It is also part of the consensus that this warming is altering the climate, increasing the frequency and maximum severity of extreme weather events, and is disproportionately impacting coastal and sea-level regions. The consensus position only includes those points we can confidently state are true. For example, there is an overwhelming consensus about certain features of climate models , but other features have large uncertainties which haven't led to a consensus.

But what has occurred, overwhelmingly, is that motivated groups, individuals and industries have engaged in a serious, sustained misinformation campaign , and it has been very persuasive.

Critical Point Theory and Hamiltonian Systems

By picking on isolated, extraordinary and non-consensus claims, political and industry campaigns But the science remains true, and the consequences of ignoring it remain physically very real, irrespective of public opinion. A survey from earlier this month shows that, among 28 surveyed countries, the United States of America ranks highest in the percentage of citizens who deny the existence of climate change. The Novarupta-Katmai eruption of was the largest in the 20th century, and based on comparable, What Greta Thunberg gets , and the important lesson she has for all of us, is this.

The science has been unambiguous since the late s: the Earth is warming, humans are the cause, and the only way to combat this is through large-scale action taken by our world's governments. Yet our governments are failing us. They are instead misrepresenting the science and coming to the table dishonestly and disingenuously, planting red herrings to undermine the actual consensus, strawmanning and working to de-fund and devalue the existing knowledge on climate science, sowing doubt in places where there is none on scientific merits, and demanding party loyalty over reason and science.

In this photo from a moment in the Senate, James Inhofe brings a snowball from outside onto the This type of strawman argument might persuade a number of onlookers to agree with his position, but it has no more scientific merit than arguing that world hunger doesn't exist because you just ate breakfast.

It's a free world and a free country, and no one can stop you from believing whatever you want. You can believe that vaccines cause autism, that the Earth is flat, that humans never walked on the Moon, and that global warming is a hoax.

But if you believe any of those things, you are choosing an unsubstantiated and anti-science conspiracy that, when confronted with the actual evidence humanity possesses, doesn't have a legitimate leg to stand on. For decades, politicians have commanded scientists to stick to their science and not enter conversations about science and society. Yet we live in a world where some of the most powerful nations are governed by inherently anti-science attitudes. Science has already carried the day when it comes to global warming and climate change; now is the time to be an adult and address the real changes humanity has brought upon planet Earth.

For some reason, you won't find even the staunchest climate change denier making speculative real estate purchases in at-risk regions like southern Louisiana. There is an overwhelming scientific conclusion being ignored by the entire world. For decades, scientists have sounded the alarm, only to be met by a government that complains about the volume and tone of the alarm while ignoring the contents of the message.

It's time for real action, and long past time to vote out any impostors that can't get on board with the scientific consensus. Every one of us has a voice and a vote, and we cannot let these obstructionist tactics obscure the truth any longer. There's a real problem here, and while fixing it will be a long-term endeavor, we all know where to start: by accepting the truth and considering solutions that address the scientifically legitimate issue at stake. If we can't at least take that step, we're dooming future generations to the worst possible climate scenario.

We're capable of preventing that outcome. Whether we do or not depends entirely on what we do next. Estimated delivery business days. Format Paperback.

Condition Brand New. Description This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis. It expands on a new theorem that has never before been seen in book form. Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals.

While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs.

1 Introduction

This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis. Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,, in stock items - you're bound to find what you want, at a price you'll love!

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