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(541)
- People (1)
- News (249)
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- Article
Every Large Point Set Contains Many Collinear Points or an Empty Pentagon
By: Zachary Abel, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór and David Wood
We prove the following generalised empty pentagon theorem for every integer ℓ ≥ 2, every sufficiently large set of points in the plane contains ℓ collinear points or an empty pentagon. As an application, we settle the next open case of the “big line or big clique”... View Details
Keywords: Erdős-Szekeres Theorem; Happy End Problem; Big Line Or Big Clique Conjecture; Empty Quadrilateral; Empty Pentagon; Empty Hexagon
Abel, Zachary, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór, and David Wood. "Every Large Point Set Contains Many Collinear Points or an Empty Pentagon." Graphs and Combinatorics 27, no. 1 (January 2011): 47–60.
- December 2003
- Case
Big Ideas, Inc.
By: Henry B. Reiling and Maria Mercedes Camargo
During a weekend social event, a company president learns of an attractive investment tenuously connected to his firm's line of business. Is this a corporate opportunity? View Details
Reiling, Henry B., and Maria Mercedes Camargo. "Big Ideas, Inc." Harvard Business School Case 204-104, December 2003.
- November 2016 (Revised September 2018)
- Case
Elon Musk's Big Bets
By: David B. Yoffie, Eric Baldwin and Brandon Kaufmann
Between late 2014 and late 2016, Tesla CEO Elon Musk undertook several major, and risky, initiatives that would dramatically expand the scale and scope of Tesla’s business. In late 2014, Tesla began construction on a $5 billion “gigafactory” that would manufacture... View Details
Keywords: Electric Vehicles; Batteries; Solar Power; Strategy; Execution; Technology; Space Flight; Tesla; SolarCity; SpaceX; Elon Musk; Information Technology; Risk and Uncertainty; Expansion; Renewable Energy; Investment; Manufacturing Industry; Green Technology Industry; Auto Industry; Aerospace Industry; Battery Industry
Yoffie, David B., Eric Baldwin, and Brandon Kaufmann. "Elon Musk's Big Bets." Harvard Business School Case 717-431, November 2016. (Revised September 2018.)
- 23 Nov 2019
- News
Big Tech and Data Privacy
- 18 Sep 2000
- Research & Ideas
Big Deals: Financing Large-Scale Investments
Disney, and Iridium, and Boston's Central Artery Project (the "Big Dig") in the public sector, are examples of some recent efforts that went bankrupt or had to be restructured. The managerial challenge is to figure out how to... View Details
Keywords: by Julia Hanna
- 12 Aug 2002
- Op-Ed
Using Big Business to Fight Poverty
pull the levers of government in order to get a road built, to have a power line strung, or to obtain police protection for a project. Corporations can also empower citizens more directly. By motivating,... View Details
Keywords: by George C. Lodge
- 01 Sep 2006
- News
Innovative Loan Fund Yields Big Returns
period projected at five years or less. Any Harvard unit or department may apply for the interest-free loans, which are repaid out of the savings generated by reductions in energy consumption, utility usage,... View Details
- 15 Aug 2016
- Research & Ideas
Black Swans and Big Trends Can Ruin Anyone's Internet Prediction
bad results. If this premise seems plausible, then we should ask: Have recent declines in startup valuations and VC investments have been big enough to elicit another threat-rigidity response? Probably not—at least not yet. But when... View Details
- August 2019 (Revised March 2022)
- Case
Lemonade: Disrupting Insurance with Instant Everything, Killer Prices, and a Big Heart
By: Elie Ofek and Danielle Golan
Launching its first products in the fall of 2016 in New York, insurtech startup Lemonade was on a mission to disrupt the insurance market by using AI and behavioral economics principles. The company offered renters, homeowners, and condo insurance and mainly targeted... View Details
Keywords: AI; Business Startups; Insurance; Technological Innovation; Business Model; Disruption; Brands and Branding; Growth and Development Strategy; Global Strategy; Decision Making; Insurance Industry; Technology Industry
Ofek, Elie, and Danielle Golan. "Lemonade: Disrupting Insurance with Instant Everything, Killer Prices, and a Big Heart." Harvard Business School Case 520-020, August 2019. (Revised March 2022.)
- 10 May 2022
- Research & Ideas
Being Your Own Boss Can Pay Off, but Not Always with Big Pay
Besides, prior studies have shown that other factors motivate self-employed people more than salary. Their bottom lines are not entirely measured in dollars, Kerr says. “It’s about being your own boss, spending more time with your family,... View Details
Keywords: by Jay Fitzgerald
- 01 Jun 2024
- News
Turning Point: On the Line
Leonard Dick (MBA 1990) (Illustration by Gisela Goppel) Leonard Dick (MBA 1990) (Illustration by Gisela Goppel) Day 116 was bizarrely poetic. Or poetically bizarre. And not just because I was an HBS grad participating in his second... View Details
- Web
The Railroads: The First Big Business - Railroads and the Transformation of Capitalism | Harvard Business School
Railroads Finance Management Business Analysts Mass Distribution Mergers & Syndicates Research Links The Railroads: The First Big Business Beginning in the mid-sixteenth century, local railroads around the world served as a means of... View Details
- Web
Innovation and Renovation: Optimizing Product Line Architecture - Course Catalog
works. This course tackles a critical yet often overlooked question: How do you sustain and expand a product or service’s impact over time, rather than just launching “the next big thing”? Educational... View Details
- 09 May 2005
- Research & Ideas
Hold or Fold? Sizing Up Business Risk
column, "want other things." When you put these three dimensions together, you get a simple matrix that looks like this. We've included a line for you to add your rationale or thinking for the... View Details
- 23 Apr 2014
- HBS Case
Are Electronic Cigarettes a Public Good or Health Hazard?
mainstream big tobacco companies. But playing out the scenario to the end, that is exactly what may happen—and all in the absence of any definitive data showing whether e-cigarettes are more or less harmful... View Details
- Web
THE VALUE OF THE PHYSICIAN SHADOW PROGRAM: Witnessing The Front Lines of Care Delivery - Blog: Health Supplement
the Current Health Care Systems Morgan Moncada & Hannah Truong 28 Feb 2023 Rare Disease Day – Small Numbers, Big Challenges and Big Opportunities Gabby Choi Initiatives focus on societal challenges that are... View Details
- 11 Apr 2023
- Research & Ideas
Is Amazon a Retailer, a Tech Firm, or a Media Company? How AI Can Help Investors Decide
industry lines as companies increasingly bring seemingly unrelated business lines together in unconventional ways. New research by Awada, Harvard Business School Professor Suraj Srinivasan, and doctoral... View Details
- July – August 2010
- Column
Powerlessness Corrupts
Powerlessness damages organizations--especially in the middle ranks, says HBR columnist Rosabeth Moss Kanter. Hemmed in by rules and treated as unimportant, people get even with management by overcontrolling their own turf. Kanter urges leaders to give employees... View Details
Keywords: Employee Relationship Management; Opportunities; Behavior; Motivation and Incentives; Power and Influence
Kanter, Rosabeth M. "Powerlessness Corrupts." Harvard Business Review 88, nos. 7-8 (July–August 2010).
- 23 Aug 2006
- Op-Ed
The Real Wal-Mart Effect
at all stores.) But questioning whether Wal-Mart's overall economic impact has been positive or negative reflects a failure to engage properly with the data. More For Everyone First, there is hard evidence that Wal-Mart has grown the... View Details