- #1
fourier jr
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- 13
I mean of course stuff like functions that are continuous everywhere but differentiable nowhere, or a continuous function that has a Fourier series that diverges everywhere. What's everyone's favourite?
A favourite pathological example is a case study or scenario that is often used by scientists and researchers to illustrate a specific concept or phenomenon in their field of study. These examples are typically extreme or unusual cases that help to highlight key features or principles.
Favourite pathological examples are important because they allow scientists to better understand and explain complex concepts in their field. These examples can provide a clear and concise illustration of a specific phenomenon, making it easier for others to grasp and apply the concept in their own work.
Favourite pathological examples are typically chosen based on their relevance and ability to effectively demonstrate a particular concept. They may also be chosen for their uniqueness or extreme nature, which makes them more memorable and impactful.
Yes, favourite pathological examples can be used in all fields of science. They are commonly used in biology, physics, chemistry, and other natural sciences, but can also be applied in social sciences, such as psychology and sociology.
Scientists can use favourite pathological examples in their research by incorporating them into their experiments, studies, or presentations. They can also use these examples to build on existing theories or develop new ones, as well as to provide evidence for their findings.