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(5,290)
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Show Results For
- All HBS Web
(5,290)
- People (41)
- News (1,112)
- Research (2,972)
- Events (20)
- Multimedia (208)
- Faculty Publications (1,514)
- 1977
- Article
On the Joint Distribution of Left- and Right-sided Outliner Statistics
By: André Perold and D. M. Hawkins
Keywords: Mathematical Methods
Perold, André, and D. M. Hawkins. "On the Joint Distribution of Left- and Right-sided Outliner Statistics." Utilitas mathematica 12 (1977): 129–143.
- 1982
- Chapter
Informal Covariation Assessment: Data-based vs. Theory-based Judgements
By: D. Jennings, T. M. Amabile and L. D. Ross
Keywords: Mathematical Methods
- November 1993
- Article
Stable Matchings, Optimal Assignments, and Linear Programming
By: A. E. Roth, U. G. Rothblum and J. H. Vande Vate
Keywords: Mathematical Methods
Roth, A. E., U. G. Rothblum, and J. H. Vande Vate. "Stable Matchings, Optimal Assignments, and Linear Programming." Mathematics of Operations Research 18, no. 4 (November 1993): 803–828.
- 2013
- Article
Beyond Alternating Permutations: Pattern Avoidance in Young Diagrams and Tableaux
By: Nihal Gowravaram and Ravi Jagadeesan
We investigate pattern avoidance in alternating permutations and generalizations thereof. First, we study pattern avoidance in an alternating analogue of Young diagrams. In particular, we extend Babson-West’s notion of shape-Wilf equivalence to apply to alternating... View Details
Keywords: Pattern Avoidance; Alternating Permutations; Descent Type Permutations; Wilf Equivalence; Shape-Wilf Equivalence; Mathematical Methods
Gowravaram, Nihal, and Ravi Jagadeesan. "Beyond Alternating Permutations: Pattern Avoidance in Young Diagrams and Tableaux." #P17. Electronic Journal of Combinatorics 20, no. 4 (2013).
- Article
Hinged Dissections Exist
By: Timothy G. Abbott, Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine and Scott Duke Kominers
We prove that any finite collection of polygons of equal area has a common hinged dissection. That is, for any such collection of polygons there exists a chain of polygons hinged at vertices that can be folded in the plane continuously without self-intersection to form... View Details
Abbott, Timothy G., Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine, and Scott Duke Kominers. "Hinged Dissections Exist." Discrete & Computational Geometry 47, no. 1 (January 2012): 150–186.
- May 2009
- Article
Configurations of Extremal Even Unimodular Lattices
We extend the results of Ozeki on the configurations of extremal even unimodular lattices. Specifically, we show that if L is such a lattice of rank 56, 72, or 96, then L is generated by its minimal-norm vectors. View Details
Keywords: Mathematical Methods
Kominers, Scott Duke. "Configurations of Extremal Even Unimodular Lattices." International Journal of Number Theory 5, no. 3 (May 2009): 457–464.
- 2010
- Article
On the Classification of Type II Codes of Length 24
By: Noam D. Elkies and Scott Duke Kominers
We give a new, purely coding-theoretic proof of Koch's criterion on the tetrad systems of Type II codes of length 24 using the theory of harmonic weight enumerators. This approach is inspired by Venkov's approach to the classification of the root systems of Type II... View Details
Keywords: Mathematical Methods
Elkies, Noam D., and Scott Duke Kominers. "On the Classification of Type II Codes of Length 24." SIAM Journal on Discrete Mathematics 23, no. 4 (2010).
- March 2010
- Article
Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
By: Shaofang Hong and Scott Duke Kominers
For relatively prime positive integers u_0 and r, we consider the arithmetic progression {u_k := u_0+k*r} (0 <= k <= n). Define L_n := lcm{u_0,u_1,...,u_n} and let a >= 2 be any integer. In this paper, we show that, for integers alpha,r >= a and n >=... View Details
Keywords: Mathematical Methods
Hong, Shaofang, and Scott Duke Kominers. "Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions." Proceedings of the American Mathematical Society 138, no. 3 (March 2010): 809–813.
- March 2004
- Teaching Note
Variance Analysis Tutorial (Instructor Guide)
By: David F. Hawkins
Instructor Guide to (9-104-709). View Details
Keywords: Mathematical Methods
- October 1979 (Revised March 1995)
- Background Note
Note on the Management of Queues
Contains four sections: 1) measuring the performance of queuing systems; 2) types of queuing systems; 3) the behavior of simple systems (elementary queuing theory); and 4) the management of queues (including a discussion of their psychology). View Details
Keywords: Mathematical Methods
Maister, David H. "Note on the Management of Queues." Harvard Business School Background Note 680-053, October 1979. (Revised March 1995.)
- 01 Jun 2025
- News
Making Difficult Decisions: The General Manager’s Job
working late at night means that few people are going to be in the correct state of mind. It’s so disconnected from the magnitude of what could potentially happen if something were to go wrong.” —Sam Berube (MBA 2025) Students prepare View Details
- 19 Oct 2017
- Working Paper Summaries
Games of Threats
- 13 Dec 2011
- First Look
First Look: Dec. 13
against foreign monopolies and cartels. In the article we examine how the Norwegian authorities interacted with international cartels and trusts in seven different cases in the interwar period. The study shows that although there was a... View Details
Keywords: Sean Silverthorne
- 20 Nov 2006
- Research & Ideas
Open Source Science: A New Model for Innovation
scientific problem solving? Yes, and it comes from an unexpected and unrelated corner of the universe: open source software development. That's the view of Karim R. Lakhani, an assistant professor at Harvard Business School with an extensive View Details
Keywords: by Martha Lagace
- 01 Mar 2025
- News
On The Case: The Base Factor
In her research as a marketing modeler, Professor Eva Ascarza focuses on understanding customers—and predicting, in particular, who will be a good one and how best to retain them. Without customers, obviously, there is no business. That could also be the tagline for... View Details
Keywords: Jen McFarland Flint
- 04 Jul 2023
- News
How Unilever Is Preparing for the Future of Work
- Article
Games of Threats
By: Elon Kohlberg and Abraham Neyman
A game of threats on a finite set of players, N, is a function d that assigns a real number to any coalition, S ⊆ N, such that d(S) = -d(N\S). A game of threats is not necessarily a coalitional game as it may fail to satisfy the condition d(Ø) = 0. We show that analogs... View Details
Kohlberg, Elon, and Abraham Neyman. "Games of Threats." Games and Economic Behavior 108 (March 2018): 139–145.
- 24 Sep 2021
- Blog Post
Is the MBA Worth It? Hear What Recent HBS Grads Have to Say (Part 2)
We asked recent HBS alumni to reflect on their time at—and after—HBS to answer the question “Is the MBA worth it?” Here are their thoughts on the business school experience, the value of an MBA degree, and how to best prepare for HBS. (Part 1 of this series is... View Details