In literature:
Yer not 'arf bad, 'Ump!
"The Sea-Wolf" by Jack London
I'd like ter t'ump him a soaker on de jaw meself.
"Frank Merriwell at Yale" by Burt L. Standish
IT GIVES YER THE FAIR 'UMP.
"Punch, Or The London Charivari, Volume 152, March 21, 1917" by Various
Give me the bleedin' 'ump, you do.
"A Student in Arms" by Donald Hankey
A-a-all about the lubble-lubble-lubble in ump Street!
"The Poor Little Rich Girl" by Eleanor Gates
But if yer does it again, yer'll give me the blooming 'ump.
"Leaves from a Field Note-Book" by J. H. Morgan
Enough to give any respectable, law-abidin' sailor-man the 'ump!
"Golden Stories" by Various
Here came Othello, Iago and Cassio of the famous class of umpty-ump.
"Chimney-Pot Papers" by Charles S. Brooks
Then Fritz dropped a shell, kru-ump, clean into the centre of the courtyard.
"Norman Ten Hundred" by A. Stanley Blicq
He 'ad the 'ump then, too.
"Change in the Village" by (AKA George Bourne) George Sturt
At the same moment Jud and Ump pulled up beside me.
"Dwellers in the Hills" by Melville Davisson Post
Yes, 'e's a 'unchback, but you don't notice 'is 'ump after you know 'im.
"Fire Mountain" by Norman Springer
No, yer 'as to be born to a top 'at, just as yer 'ave to be born to an 'ump, like a camel.
"Bindle" by Herbert Jenkins
Told me I'd ought to 'old my 'ed 'igh instead of 'umping.
"A Man in the Open" by Roger Pocock
There was only one thing his umps could do.
"Lefty Locke Pitcher-Manager" by Burt L. Standish
A pale hunchbacked child, clean and wistful, descended, and him Dicky flung aside and half downstairs with 'Git out, 'ump!
"A Child of the Jago" by Arthur Morrison
What did 'e want to go and git the fair 'ump about?
"Puppets at Large" by F. Anstey
Jest a line from the Eastern Distric' to tell yer that we've all got the fair 'ump.
"Mr. Punch on the Warpath" by Various
That ump is all right.
"The Lucky Seventh" by Ralph Henry Barbour
I don't want (to quote my pal, Mrs. D.) to give you the "bloomin' 'ump".
"The Lure of Old London" by Sophie Cole
***
In poetry:
I'm crook; me name is Mud; I've done me dash;
Me flamin' spirit's got the flamin' 'ump!
I'm longin' to let loose on somethin' rash….
Aw, I'm a chump!
I know it; but this blimed ole Springtime craze
Fair outs me, on these dilly, silly days.
"A Spring Song" by C J Dennis
In news:
Jays' Lawrie in lineup a day after ump altercation.
In Saturday's perfecto, it was a strike because the ump said so.
Ump in Pirates' game should be punished.
UMP cars join Paragon's new slate.
MAJOR LEAGUE UMP VISITS HOSPITALIZED VETS IN DALLAS.
Ump 's ordeal shows sad state of sports.
MLB still deciding whether to review ump 's blown call.
Big night for ump, too.
Jimmy Owens couldn't help getting emotional after winning Saturday night's UMP DIRTcar Racing-sanctioned Dirt Late Model Dream XV at Eldora Speedway.
A's Witt, Nearly Perfect, Says It's Ump Who Wasn't.
Derek Jeter's acting fools ump on inside pitch.
Chet Cooper's call to ump strikes like bolt.
1) It was kind of ridiculous for first-base ump C.B.
Ump cool at death of hubby .
He spiked his helmet off of the ump's leg.
***
In science:
From Theorem 3.2, the following proposition which insists that a UMP test is also a UMP min-max test is obtained.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
If there exists a UMP (unbiased) invariant test T0 with level α for hypothesis testing (3. 4), T0 is also a UMP (unbiased) min-max test with level α for the disturbance parameter ξ ∈ Ξ.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
Therefore, Propositions 3.1 and 3.3 insist that an UMP unbiased invariant test is also an UMP unbiased min-max test.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
We assume that T is a UMP (unbiased) test with level α for (3. 8).
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
Thus, T ⊗ I is a UMP (unbiased) test with level α for (3. 9).
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
Similarly, when T is a UMP (unbiased) min-max test with level α for (3. 8), T ⊗ I is a UMP (unbiased) min-max test with level α for (3. 9).
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
Proof: When T is a UMP (unbiased) min-max test with level α for (3. 10), we show that T ⊗ I is a UMP (unbiased) min-max test with level α for (3. 11).
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
Since {pn,w }w∈R<0 is a one-parameter exponential family with the natural parameter w, the following test function ϕ is a UMP test for the above hypothesis testing problem due to Theorem 4.1.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
G0,N is a Gaussian distribution with the mean 0 and the variance N . A χ2 test is a UMP test for the above classical hypothesis testing problem.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
Since {pm,n,u,v }u∈R,v∈R≥0 is a two-parameter exponential family with the natural parameters u and v, the following test function ϕ is a UMP unbiased test for the above hypothesis testing problem due to Theorem 4.3.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
For the hypothesis testing problem (H-F), the test = X ϕ(k, l)|k, lihk, l|. is a UMP unbiased test with level α.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
The UMP test for (H-1) does not exist as is shown in Appendix.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
Thus, our purpose is to derive a UMP min-max test in this subsection.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
For the hypothesis (H-A), the test T α R0, N is a UMP min-max test with level α.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
UMP unbiased min-max test for (H-t) as is shown in the next theorem.
Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests
***