Under US Patent Law, "Official Notice" has the meaning of "understood meaning", which is different from "Common Knowledge".
For the rejection of a patent application, there are rule that any Official Notice needs to be documented here. This can be important since patents are about protecting "unique" ideas.
the Examiner takes Offical Notice that A in the cited invention corresponds to B in the instant invention
seems to mean that the Examiner is stating A and B are the same. This is probably for some legal reason and it is not assumed that A being the same as B would be considered common knowledge.
It could be that two slightly different names were used, or A being a written description (cited) and B being an actual model of the invention (instant = this).
"To have a crush (on someone)" is a light-hearted and slightly juvenile way to express a strong affection for someone. It is mostly used to talk about young people's feelings, and does not normally describe adult emotions.
If applied to adults it can be an insult to imply the person is or acts immature. This depends greatly on context, however, as it can also be used as a compliment to imply someone is acting or looking youthful.
A "crush" doesn't have to be on a peer or someone of similar age. A young person can have a crush on an older (even a much older) celebrity or any other person. Also, a crush can often be one-sided, implying that the affection isn't returned by the other person (referred to as "unrequited love").
By using "crush" instead of some similar term, it implies that the feeling isn't serious and is likely to be temporary. Of course many young people will disagree with this, but that's the nature of youthful crushes. No one should be ashamed of a crush, but they might be deeply embarrassed if talked about in front of them.
How young is "young" can vary widely by who is talking. At my age, I might use "crush" for anyone under 30, but I'm a grumpy old curmudgeon.
Best Answer
"I have a word right on the tip of my tongue" means I can almost recall it but am not able to do so. So, like in your first example.
In your second example, when you intend to say something, but someone says it before you, you can say: