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In the problem of envy-free cake-cutting, there is a cake modeled as an interval, and agents with different value measures over the cake. The value measures are accessible only via queries of the form "evaluate a given piece of cake" or "mark a piece of cake with a given value".
Birthday cake with 18 candles for the celebrant's 18th birthday. A birthday cake is a cake eaten as part of a birthday celebration. While there is no standard for birthday cakes, they are typically highly decorated layer cakes covered in frosting, often featuring birthday wishes ("Happy birthdays") and the celebrant's name. In many cultures, it ...
Fair cake-cutting is a kind of fair division problem. The problem involves a heterogeneous resource, such as a cake with different toppings, that is assumed to be divisible – it is possible to cut arbitrarily small pieces of it without destroying their value. The resource has to be divided among several partners who have different preferences ...
The question of whether envy-free cake-cutting can be done in bounded time for four or more partners had been open for many years. It was finally solved in 2016 by Haris Aziz and Simon Mackenzie. Initially they developed a bounded-time algorithm for four partners. [20] Then they extended their algorithm to handle any number of partners. [2]
SPOILERS BELOW—do not scroll any further if you don't want the answer revealed. The New York Times Today's Wordle Answer for #1260 on Saturday, November 30, 2024
A cake traditionally made with a pound each of its four main ingredients (flour, butter, eggs, and sugar); today, ingredient proportions vary. Princess cake: Sweden: A cake with alternating layers of sponge cake and whipped cream followed a layer of fresh raspberries and a layer of custard; all these layers are topped with a layer of marzipan.
Efficient cake-cutting is a problem in economics and computer science. It involves a heterogeneous resource, such as a cake with different toppings or a land with different coverings, that is assumed to be divisible - it is possible to cut arbitrarily small pieces of it without destroying their value.
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...