From English Public House jargon. During that time beer was consumed in Pints and Quarts and bartenders needed to keep a sharp eye out as to what was being consumed and not confuse consumption for the 'tally slate'. So, mind your P's and Q's was a reminder to bar staff to record the correct quantities consumed
PS stands for Post Scriptum, which is Latin for "written after." It is used to add additional information that the writer forgot to include in the main body of the letter. In this case, the PS indicates that someone is coming the next day as an afterthought.
It is not clear what you mean by "black mind." Can you provide more context or clarify your question?
Post script. p.s, i presume you mean when used like this
"On my mind" means you are thinking of the person or thing, as if it were literally inside your head sitting on your mind.
In finance, 'PS' typically refers to the Price-to-Sales ratio. This metric is calculated by dividing the company's market capitalization by its total sales revenue. It helps investors evaluate a company's valuation relative to its revenue generation.
Mind your Ps and Qs means to use good manners.
The term Keeping up with your Ps and Qs is generally quoted as Minding your Ps and Qs. This is an old term, which means to Mind your Pints and Quarts, which means to mind your own business, basically, or to take care of a task.
to be careful how you behave
Actually, it's mind your PS and qs. It means, be careful and meticulous in what you say and how you behave. When I was young, I did a little typesetting. Moveable type is lovely stuff, but it's the mirror image of the letters it prints; so a b in type looks like a d. Rotate a d, and you have a p; rotate a b and you have a q. Typesetters had to mind their PS and qs all the time.
P and Q stood for Prime Quality in England, but more than likely it was made to keep children from messing up the lower cases which are mirror images (p and q)
The plural form is Ps and Qs.The plural possessive form is Ps and Qs'.Example: Your Ps and Qs' training seems lacking.
Suppose x and y are rational numbers.That is, x = p/q and y = r/s where p, q, r and s are integers and q, s are non-zero.Then x + y = ps/qs + qr/qs = (ps + qr)/qsThe set of integers is closed under multiplication so ps, qr and qs are integers;then, since the set of integers is closed addition, ps + qr is an integer;and q, s are non-zero so qs is not zero.So x + y can be represented by a ratio of two integers, ps + qr and qs where the latter is non-zero.
Suppose p/q and r/s are rational numbers where p, q, r and s are integers and q, s are non-zero.Then p/q + r/s = ps/qs + qr/qs = (ps + qr)/qs. Since p, q, r, s are integers, then ps and qr are integers, and therefore (ps + qr) is an integer. q and s are non-zero integers and so qs is a non-zero integer. Consequently, (ps + qr)/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.
Suppose x and y are two rational numbers. Therefore x = p/q and y = r/s where p, q, r and s are integers and q and s are not zero.Then x - y = p/q - r/s = ps/qs - qr/qs = (ps - qr)/qsBy the closure of the set of integers under multiplication, ps, qr and qs are all integers,by the closure of the set of integers under subtraction, (ps - qr) is an integer,and by the multiplicative properties of 0, qs is non zero.Therefore (ps - qr)/qs satisfies the requirements of a rational number.
The cast of Ps and Qs - 1992 includes: Lesley Joseph as Herself - Host Jonathan Meades as Himself - Host Miles Richardson Tony Slattery as Himself - Host
Suppose p/q and r/s are rational numbers where p, q, r and s are integers and q, s are non-zero.Then p/q + r/s = ps/qs + qr/qs = (ps + qr)/qs.Since p, q, r, s are integers, then ps and qr are integers, and therefore (ps + qr) is an integer.q and s are non-zero integers and so qs is a non-zero integer.Consequently, (ps + qr)/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.Also p/q * r/s = pr/qs.Since p, q, r, s are integers, then pr and qs are integers.q and s are non-zero integers so qs is a non-zero integer.Consequently, pr/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.
Suppose A and B are two rational numbers. So A = p/q where p and q are integers and q > 0 and B = r/s where r and s are integers and s > 0. Then A - B = p/q - r/s = ps/qs - qr/qs = (ps - qr)/qs Now, p,q,r,s are integers so ps and qr are integers and so x = ps-qr is an integer and y = qs is an integer which is > 0 Thus A-B can be written as a ratio of two integers, x/y where y>0. Therefore, A-B is rational.