Laplace transform - 2024 PLAYTIME

Question

Hjalmar Mellin names a multiplicative version of the “two-sided” form of this operation. For 10 points each:

[10h] Name this operation that may be thought of as the continuous analogue of a power series. Mellin derived a formula for the inverse of this operation that takes the limit of an integral over a vertical contour.

ANSWER: Laplace transform [accept inverse Laplace transform]

[10e] This function of negative s times t is the kernel of the Laplace transform. The Euler-Mascheroni constant appears when taking the Laplace transform of this function’s inverse, the natural logarithm.

ANSWER: exponential function [or e to the x; accept anything indicating that e is being raised to a power; accept negative exponential]

[10m] The Euler–Mascheroni constant is denoted by this letter. Applying the Laplace transform to a power generates a function denoted by the uppercase version of this letter that has poles at the nonpositive integers.

ANSWER: gamma

<JC, Other Science - Math>

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Summary


2025 PLAYTIME @ CWRU	12/10/2024	Y	5	10.00	80%	20%	0%
2025 PLAYTIME @ Claremont	12/10/2024	Y	5	16.00	100%	60%	0%
2025 PLAYTIME @ Florida	12/10/2024	Y	2	15.00	100%	50%	0%
2025 PLAYTIME @ Florida	12/10/2024	Y	1	10.00	100%	0%	0%
2024 PLAYTIME @ Harvard	04/26/2025	Y	4	12.50	75%	25%	25%
2024 PLAYTIME @ JHU	10/26/2024	Y	8	12.50	88%	38%	0%
2025 PLAYTIME @ Northwest	12/10/2024	Y	4	17.50	75%	75%	25%
2025 PLAYTIME Online	04/26/2025	Y	9	15.56	100%	56%	0%
2025 PLAYTIME @ Sheffield	12/10/2024	Y	6	15.00	100%	50%	0%
2025 PLAYTIME @ Sheffield	12/10/2024	Y	1	30.00	100%	100%	100%
2024 PLAYTIME @ Virginia Tech	07/11/2025	Y	3	16.67	100%	67%	0%

Data


Michigan A	Michigan C	0	10	0	10
Michigan D	Oberlin	0	0	0	0
Pittsburgh	Ohio State A	0	10	0	10
Ohio State B	Ohio State C	0	10	0	10
Ohio State D	Michigan B	0	10	10	20
UCSB	Caltech	0	10	10	20
Art of Premature Signaling	Claremont A	0	10	10	20
girl 15 whale i mean they	Claremont B	0	10	10	20
P.C.‚ Daniel‚ Michel‚ and Jason B	UCLA A	0	10	0	10
UCLA B	UCSD	0	10	0	10
Too much from you lately	Billy's Bastion	0	10	10	20
Edwin Laundrorat's Long-Lost Man Unclothès Rat Degrosses	Project2025BC: Make Assyria Great Again	0	10	0	10
Lexington	BU	0	0	0	0
MIT	Brown	0	10	0	10
Belmont	Harvard	0	10	0	10
RIT	Brandeis	10	10	10	30
Johns Hopkins B	Georgetown	0	10	0	10
Maryland A	NYU B	0	10	10	20
George Mason C	Maryland B	0	10	0	10
NYU A	CWRU	0	10	10	20
Haverford A	NYU C	0	10	10	20
Alberta	South Dakota School of Mines	0	10	10	20
Arizona State University A	UW B	10	10	10	30
Carleton	UW A	0	0	0	0
Arizona State University B	Washington Connections	0	10	10	20
Four Generalists in Search of a Power	Quatumvirate	0	10	10	20
Monsieur Hulot's Academic Team	Free Agents 1	0	10	0	10
mongeese	Goober Gang	0	10	10	20
Gruh	Illinois Orange	0	10	10	20
Notre Dame + Epic Games	MSJ	0	10	0	10
Mahjonng Masters	Mike Dukakis Tank Battalion	0	10	0	10
Egypt Airlines Haters	Trip-Hop Quizzer Tricky	0	10	10	20
evil women enjoyers	Auburn 2026	0	10	0	10
we need new names	2 Italians, 2 Poles, All Noles	0	10	10	20
Catholic University of America	George Mason B	0	10	0	10
George Mason A	Rutgers	0	10	0	10
George Washington	Haverford B	0	0	0	0
Manchester	Warwick A	10	10	10	30
Edinburgh	Sheffield C	0	10	10	20
Warwick B	Imperial A	0	10	0	10
Lancaster	Cambridge	0	10	0	10
Sheffield A	Birmingham	0	10	10	20
Sheffield B	LSE	0	10	10	20
Warwick C	Imperial	0	10	0	10
Qin Shi Huang's Immortality Poison	Keeping Up With the Cardassians	0	10	0	10
4 quizbowl pros go Virginia on North Carolina	Somehow Paula Deen Returned	0	10	10	20
Ashurbanipal’s Drag Race	Adrianne Lenker 4 Nobel Lit Prize 2K65	0	10	0	10
Even in Blacksburg There I Am	Master and Margaritaville	0	10	10	20