Talk on Saturday (4/8)

 

Mercer County Math Circle will be having a talk this Saturday (4/8) at 2:00 PM in the 3rd floor of Princeton Public Library.
Speaker: Heesu Hwang
Time & Date: 2pm-3pm Saturday April 8
Location: Princeton Public Library, teen room (3rd floor)
Parallelism: Not Just For Geometry.

  • Have you ever had math problems you didn’t want to solve intelligently? A geometry problem or algebra problem for example where it seemed smart to simply coordinate bash or try a ton of factorizations. When deciding to bash or not, the driving factor is always how much computation we must do; the same trade-off exists in computer science. How do we do computation efficiently? One way to make computation faster is parallelism: distributing a task over many processors. What types of tasks can we distribute? How much faster can we solve problems if we can use multiple processors? We will explore the basics of run-time and speed-ups due to parallelism.
A recreational session will follow.
Hope to see all of you there!
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Third Mercer County Math Circle: Normal Distributions and Probability

Advanced Series

Title: The Law of Large Numbers and the Central Limit Theorem

Speaker: Chris Zhang

Time & Date: 2pm-3pm Saturday January 14

Location: Princeton Public Library, teen room (3rd floor)

Abstract: The Gaussian or normal distribution is one of the most important models in statistics and is widespread in many fields of science, engineering, social science, and math. First we try to understand probability and prove the Law of Large Numbers. Then we will learn why the normal distribution is so prevalent through the Central Limit Theorem.

Chili Peppers: 3 out of 4.

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Recreational Series

Title: Normal Distribution Game

Leader: Harini Subrahmanyam Fredrickson

Time & Date: 3:14 PM – 4 PM Saturday January 14

Location: Princeton Public Library, teen room (3rd floor)

Abstract: We will be playing a game to learn more about normal distributions.


Second Math Circle: Two Player Games

Advanced Series

Title: Two Player Games

Speaker: Fatih Kaleoglu

Time & Date: 2pm-3pm Saturday December 10

Location: Princeton Public Library, teen room (3rd floor)

Abstract: I will introduce the mathematics behind two-player games, touching upon why in every finite game a player has a non-losing strategy. Then I will talk about the game nim, its properties and resemblance to general games.

Chili Peppers: 2 out of 4.

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Recreational Series

Title: Two Player Games

Leader: Harini Subrahmanyam Fredrickson

Time & Date: 3:14 PM – 4 PM Saturday December 10

Location: Princeton Public Library, teen room (3rd floor)

Abstract: We will be trying our hand at some of the games learned during the advanced series.


Kickoff Event: November 12 – Math and Music

Advanced Series

Title: The Mathematics of Sound

Speaker: Philip Etter

Time & Date: 2pm-3pm Saturday November 12

Location: Princeton Public Library, teen room (3rd floor)

Abstract: An informal discussion about the basic mathematics of one of the most fundamental parts of our lives – sound. The basic questions we’ll ask are as follows: what is sound and how do we represent it mathematically? How do we distinguish between different sounds? And, perhaps most importantly, how can we manipulate and analyze sound with a computer? While the talk will be non-technical, the underlying mathematics involved is incredibly deep and powers a staggering amount of technology in our daily lives, from our cell phones to streaming services like YouTube.

Prerequisites: Ability to understand the graph of a function

Chili Peppers: 2 out of 4.
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Recreational Series

Title: Making Musical Instruments using Straws

Leader: Harini Subrahmanyam Fredrickson

Time & Date: 3:14 PM – 4 PM Saturday November 12

Location: Princeton Public Library, teen room (3rd floor)

Abstract: We will be creating our own music by constructing trumpets out of straws. Those who went to the advanced series can see a direct application of the concepts covered!


February 28: Infinities and Napier’s Bones

Advanced Series

Title: Infinities! (And Set Theory)

Speaker: Siddhartha Jayanti

Time & Date: 2pm-3pm Saturday February 28

Location: Princeton Public Library, teen room (3rd floor)

Abstract:

Have you ever wondered about infinity?  Did you know that there are different types of infinity and some are bigger than others?  This week I will be talking about some basic set theory, and Cardinal Infinities!  This topic is really fun for people with various degrees of background in math, as it does not require too much background in any specific field of math.  So, I hope that you all come out this Saturday and enjoy the talk!

Chili peppers: 2 out of 4.

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Recreational Series

Title: Napier’s Bones

Leader: Harini Subrahmanyam Fredrickson

Time & Date: 3:14pm – 4pm Saturday February 28

Location: Princeton Public Library, teen room (3rd floor)

Abstract: Come learn about Napier’s Bones, a calculating tool that was in common use for nearly three centuries!


Saturday February 14: P-adics and Napier’s Bones

Advanced Series

Title: Better Living Through Infinite Series: The p-Adics

Speaker: Roger Van Peski

Time & Date: 2pm-3pm Saturday February 14

Location: Princeton Public Library, teen room (3rd floor)

Abstract:

We’re going to talk a bit about a somewhat lesser-known cousin of the real numbers: the p-adics. These may be thought of as infinite geometric series of powers of a prime p, where we generously allow these series to retain their identity as independent ‘numbers’ rather than just throwing them away because they (often) diverge to infinity. Far from being a whimsical exercise in pretending things don’t diverge, they are actually extremely important in a wide variety of areas in math. They also have a lot of interesting properties—for instance, if two p-adic discs intersect at any point, one is contained in the other! We’ll define and discuss some of the fascinating ways in which the p-adic integers and p-adic rational numbers behave and their relation to the regular integers and rationals, as well as what being ‘cousin of the real numbers’ actually means in a rigorous sense.

Prerequisites: It will help if you’re comfortable working with infinite series, such as the geometric series you may have seen in precalculus or the variety of series in calculus.

Chili peppers: 3 out of 4.

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Recreational Series

Title: Napier’s Bones

Leader: Harini Subrahmanyam Fredrickson

Time & Date: 3:14pm – 4pm Saturday February 14

Location: Princeton Public Library, teen room (3rd floor)

Abstract: Come learn about Napier’s Bones, a calculating tool that was in common use for nearly three centuries!


Saturday December 13: Linear Algebra, Cauchy-Schwarz, and Himmelis

Advanced Series
Title: Linear Algebra and Cauchy-Schwarz
Speaker: Christopher Zhang
Time & Date: 2 pm – 3 pm, Saturday December 13
Location: Princeton Public Library, Story Room (third floor)
Abstract:
I will introduce fields, vector spaces, and inner product spaces for the purpose of proving the Cauchy-Schwarz inequality on inner products. The treatment will be quite rigorous with intuitive examples to aid comprehension.
Chili peppers difficulty: 3 out of 4
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Recreational Series
Title: Himmeli Construction
Leader: Harini Subrahmanyam Fredrickson
Time & Date: 3:14 pm – 4 pm, Saturday December 13
Location: Princeton Public Library, Story Room (third floor)
Description: Come build a himmeli, a geometric sculpture from Finland made of straw. In this session, you will learn to create a stunning stellated icosahedron to decorate your home for the holidays!  All materials will be provided.