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Thanks,

Emmanouil

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In summary, Emmanouil is deciding between studying statistics or pure mathematics in order to have a better chance of finding employment in experimental physics. He is unsure of which would be more beneficial, but he feels that it is important to know both in order to be well-rounded.

- #1

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- 1

Thanks,

Emmanouil

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- #2

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You don't usually need as much of it as the others.

I'd go for applied and algebra ... algebra has the tools you need, and applied looks like it will help you with modelling.

But there are no right answers here ... that is why you won't get a straight answer. For instance, what sort of experimental physics are you thinking of? Whatever you pick will shape your future work to some extent... but it is usually possible to pick up missed skills later.

- #3

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Statistics is the information science (or at least the basis for it) because it deals with information in a sample. Any time you use information it will have some connection in some way to statistics.

Since physics involves information in many ways (statistics, computer work, the fact that the physical universe is composed of information) then on that basis I would recommend statistics over the pure mathematics.

Pure mathematics often doesn't deal with information because the fundamental structures of mathematics (and particularly pure mathematics) don't have a quantization aspect and are often just symbolic. It's not like in computer science where you have to quantize the structure and the algebra and when it comes dealing with information in a specific way, it's often very lacking - even though the concepts are sound.

You aren't going to be held back by your choice for later learning if you don't want to - but I'd say that if it's for learning or reasons of curiosity, the nature of information can be one factor in which to decide whether to choose statistical coursework or pure mathematics coursework (this is aside from choosing one or the other for relevance in regard to your other coursework and ambitions).

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Compare: "quantification".

- #5

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Real numbers are sort of an exception (unless you have special cases or use symbolic algebra to define them) but statistics is a data/information science since it deals with a finite number of quantities (samples are finite). If you can make the structure of each sample element finite in its memory representation then you can quantize the sample and represent it in a finite number of alphabet letters.

This is not done in pure mathematics since they organize things around arithmetic constraints (like divisibility) and not some quantization of the value itself (i.e. representing a whole number with so many bits).

This can also be one reason why some mathematicians are bad at coding because it forces everything to be absolutely explicit and it's this explicit nature that I think differentiates something like statistics from pure mathematics and to be explicit about information, it has to have representation in a finite number of letters/symbols.

The main difference between taking statistics and pure math for experimental physics is the focus of the courses. Statistics courses will focus on the analysis and interpretation of data, while pure math courses will focus on theoretical and abstract concepts. In experimental physics, both types of courses are important and complementary, as they provide different tools for understanding and conducting research.

Both statistics and pure math courses are highly relevant for experimental physics. Statistics is particularly important for analyzing and interpreting experimental data, while pure math provides the necessary theoretical background for understanding physical phenomena and developing new theories. It is recommended to take courses in both areas to have a well-rounded understanding of experimental physics.

It is not recommended to choose one course over the other, as both statistics and pure math are important for experimental physics. However, if you have limited time or resources, it is important to prioritize which course will be most beneficial for your specific research interests and goals.

While it may seem daunting to take both statistics and pure math courses, it is important to remember that these courses are designed to complement each other and provide a well-rounded understanding of experimental physics. Additionally, many universities offer support and resources for students who may need extra help in these courses.

Both statistics and pure math courses are highly beneficial for a career in experimental physics. These courses provide crucial skills for analyzing and interpreting data, developing new theories and models, and communicating research findings. Employers and graduate programs highly value individuals who have a strong background in both statistics and pure math for experimental physics.

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