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Kostas Tzim
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Hello guys can someone please explain to me how to use the assertion, "without any loss of generality assume...", i find it kind of tricky to use...a simple example would be useful too. :)
Context ? Assume WHAT?Kostas Tzim said:Hello guys can someone please explain to me how to use the assertion, "without any loss of generality assume...", i find it kind of tricky to use...a simple example would be useful too. :)
Kostas Tzim said:Hello guys can someone please explain to me how to use the assertion, "without any loss of generality assume...", i find it kind of tricky to use...a simple example would be useful too. :)
"Without any loss of generality" is a phrase commonly used in mathematical and scientific contexts. It means that a statement or argument is true for all cases, without any exceptions. In other words, the statement or argument holds true regardless of specific details or conditions.
Scientists use the phrase "without any loss of generality" to simplify their statements and arguments. By acknowledging that their findings hold true for all cases, they can avoid having to specify and test every single case individually. This allows for more concise and efficient research.
No, "without any loss of generality" cannot be proven. It is a logical assumption or hypothesis that is used to simplify and generalize a statement or argument. However, it is still subject to potential exceptions or limitations, and further research may be needed to confirm its validity.
Yes, there are other phrases and terms that can be used to convey a similar idea, such as "for all cases" or "in general." However, "without any loss of generality" is a widely accepted and concise way to express this concept in scientific writing.
"Without any loss of generality" does not necessarily impact the validity of scientific findings. It is simply a way to simplify and generalize a statement or argument. The validity of the findings still depends on the soundness of the research methods and the accuracy of the data and conclusions.