Something that is incessant continues without interruption—and is more often than not a source of irritation! Incessant chatter near your workstation might disrupt your concentration; incessant whining in any circumstance might deplete your patience; and incessant demands, as from a boss or from any other source, might make you feel exhausted or taken for granted (or both!). When not used to describe undesirable situations such as these, you may find incessant used in a more neutral sense to describe continuous and unrelenting rainfall, or other weather events that carry on seemingly to no end.
The noun brainchild is used to refer to a product of one’s creative work or thought (the child of one’s brain, of course!). This heady compound is used of events, campaigns, companies, or elaborate projects—or the animating idea behind them. Use of this term usually connotes a degree of admiration for something truly original, and is almost always used in the context of giving credit or attributing success to a certain creative individual. So where there is a brainchild, there is usually a "brain parent" mentioned nearby.
Adapt and accommodate both mean to adjust or modify, or to make suitable to requirements or conditions. For instance, you might say you've adapted your behavior to a new country by learning the language and customs. You might also say you've accommodated yourself to your new country by learning the language and customs. The key difference here is that the direct object for adapt cannot be a person, while for accommodate, it can be a person as well as an inanimate object. Thus, no matter how much one may want to, one cannot adapt other people, but one can accommodate them, which may also mean one can host or take care of them.