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entropy1
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Can a state only be formulated with respect to an observable in consideration? That is to say, does the formulation of the state depend on the particular observable in consideration?
Thanks.
Thanks.
entropy1 said:Can a state only be formulated with respect to an observable in consideration? That is to say, does the formulation of the state depend on the particular observable in consideration?
Thanks.
That definition works acceptably well (and is intuitive, which is why we use it when we can) for a vector in finite-dimensional space with all of its components real numbers. It doesn't make the same intuitive sense when you're working with complex components (if multiplying by -1 means "opposite direction", why would multiplying by ##i## not mean rotating by 90 degrees given that ##i^2=-1##? But we know that that multiplication doesn't change the ray).sandy stone said:I always thought a ray started at the origin and extended out to infinity. If you multiply a vector aligned with this ray by -1, wouldn't it then extend in the opposite direction and therefore not be included in the original ray?
Formulating state relating to observable means that the state of a system can only be described in terms of observable quantities or properties. This means that any changes or behaviors of the system can only be measured or observed through these observable factors.
It is important for state to be formulated relating to observable because it allows for a more objective and measurable understanding of a system. This means that different scientists can make observations and measurements of the same system and come to the same conclusions about its state.
In scientific research, state is formulated relating to observable through the use of well-defined and measurable variables. These variables represent the observable properties of a system and allow for the collection of data and evidence to support or refute hypotheses and theories.
No, state cannot always be formulated relating to observable in all systems. Some systems may have unobservable or abstract properties that cannot be measured or observed directly. In these cases, scientists may use models or indirect methods to understand and describe the state of the system.
Formulating state relating to observable increases the validity of scientific findings by providing a more objective and measurable approach to understanding and describing a system. This means that the results and conclusions drawn from scientific research are more reliable and can be replicated by other scientists.