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## Thursday, March 29, 2018

### Advanced Knowledge Problem of the Week 3-29-18: Cauchy's Mean-Value Theorem [Real Analysis]

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Solution below.

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## Monday, March 26, 2018

### Problem of the Week 3-27-18: Area Parity [Number Theory]

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Solution below.

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## Friday, March 23, 2018

### Advanced Knowledge Problem of the Week 3-23-18: Quotient Rings [Abstract Algebra]

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## Tuesday, March 20, 2018

## Monday, March 19, 2018

### Problem of the Week 3-20-18: Same Last Three Digits [Number Theory]

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## Friday, March 16, 2018

### Advanced Knowledge Problem of the Week 3-16-18: Mobius Function Sums [Number Theory]

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## Monday, March 12, 2018

### Problem of the Week 3-13-18: Inverting Functional Equation [Functional Equations]

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## Thursday, March 8, 2018

### Advanced Knowledge Problem of the Week 3-8-18: Cyclic Quotient Groups [Group Theory]

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## Wednesday, March 7, 2018

### Worldwide Lecture Seminar Series: Pablo SoberĂ³n

# Worldwide Lecture Seminar Series: Pablo SoberĂ³n

### REGISTER

### Description

*The Worldwide Lecture Seminar Series Presents*

**Pablo SoberĂ³n -**Northeastern University

**Friday, March 16, 2017**

Coffee, tea, cookies: 3:30pm

Talk: 4-5pm

**Worldwide Center of Mathematics -- Cambridge, MA, USA**

Abstract: During this talk we will discuss some robust variations of Tverberg’s theorem. The aim is to seek partitions of a finite set of points in R^d such that the convex hulls of the parts intersect, even if our set of points is going to be modified later on. Surprisingly, random partitions give sharp results. These are variations of Tverberg’s theorem which behave like weak epsilon-nets for convex sets.

## Monday, March 5, 2018

### Problem of the Week 3-6-18: Diophantine Equation/Prime Powers [Number Theory]

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