The new equation is obtained by factoring out ##\hbar \omega## from the first equation.Guaicai said:
The Dimensions Analysts changing the equation is a concept in the field of dimensional analysis, which is the study of physical quantities and their relationships. It refers to the process of modifying or manipulating the units and dimensions in an equation in order to make it more useful or applicable to a particular situation.
Dimensions Analysts change the equation in order to make it easier to understand, solve, or apply to a specific problem or scenario. By changing the units and dimensions, they can often simplify the equation and make it more relevant to the real world.
The process of changing the equation involves examining the units and dimensions present in the equation and determining which ones are necessary, redundant, or need to be modified. The analyst may use mathematical operations such as multiplication, division, or substitution to alter the equation and make it more useful.
There are several benefits to changing the equation, including making it more relevant and applicable to a specific problem, simplifying the equation for easier understanding and calculation, and gaining new insights or perspectives on the relationship between the physical quantities involved.
Changing the equation requires a strong understanding of dimensional analysis and mathematical operations. While anyone can learn these skills, it is a specialized skill that is typically done by scientists, engineers, or mathematicians who have a background in dimensional analysis and related fields.