Final answer:
The provided expressions are well-defined if they are dimensionally consistent in the context of mathematics, or clear and calculable in the context of molecular biology. Dimensional consistency requires that terms in an equation correspond to coherent units, while in biology, terms like transcription and translation have specific meanings relating to protein synthesis.
Step-by-step explanation:
The question being asked pertains to whether certain expressions are well-defined. In mathematics, a well-defined expression or equation must have terms that can be clearly understood and calculated with consistent results. This typically means that operations within the expression must be possible given the nature and dimensions of the terms, and that the result is unambiguous.
An example drawn from the query is whether an equation consisting of dimensions such as [s], [vt2], and [at] is dimensionally consistent. In this case, each term must have dimensions that correspond to a certain power of basic physical units such as length (L), time (T), mass (M), etc. To determine if the equation is dimensionally consistent, one must break down each term into its fundamental units and compare. For example, [s] which stands for displacement, has the dimension L, while [vt2] has dimensions LT-1 · T2 = LT, and [at] has dimensions LT-2 · T = LT-1, showing that there is an inconsistency. Thus, these terms cannot be part of the same dimensional equation as they represent different physical quantities.
In the context of molecular biology, specifically genetics and protein synthesis, the expressions transcription, translation, and transfer RNA (tRNA) are also well-defined. Transcription is the process by which DNA is copied into RNA, translation is the process where RNA is used to produce proteins, and transfer RNA (tRNA) is a type of RNA that helps decode a messenger RNA (mRNA) sequence into a protein