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February 11, 2010. A Statement of the Riemann Hypothesis. The Riemann Hypothesis, a longstanding unsolved conjecture in analytic number theory, is considered by many mathematicians to be one of the most important unsolved problems in theoretical mathematics. To understand the statement takes only a typical undergraduate mathematics education, but to find a proof would be the capstone of a mathematical career. The Riemann zeta function is most simply described as a series, the infinite sum over n of 1/n.

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Fresh Chalk | freshchalk.blogspot.com Reviews

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February 11, 2010. A Statement of the Riemann Hypothesis. The Riemann Hypothesis, a longstanding unsolved conjecture in analytic number theory, is considered by many mathematicians to be one of the most important unsolved problems in theoretical mathematics. To understand the statement takes only a typical undergraduate mathematics education, but to find a proof would be the capstone of a mathematical career. The Riemann zeta function is most simply described as a series, the infinite sum over n of 1/n.

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Fresh Chalk | freshchalk.blogspot.com Reviews

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February 11, 2010. A Statement of the Riemann Hypothesis. The Riemann Hypothesis, a longstanding unsolved conjecture in analytic number theory, is considered by many mathematicians to be one of the most important unsolved problems in theoretical mathematics. To understand the statement takes only a typical undergraduate mathematics education, but to find a proof would be the capstone of a mathematical career. The Riemann zeta function is most simply described as a series, the infinite sum over n of 1/n.

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Fresh Chalk: Concerning Uncountable Sums

http://www.freshchalk.blogspot.com/2009/12/concerning-uncountable-sums.html

January 06, 2010. Sums are a beautiful notion which are sometimes taken for granted. 2 2 = 4, the sum from 1 to infinity of 1/2. Is equal to 1, and so forth. In the case of countably infinite sums, questions of convergence become important. But what happens when you have a sum over uncountably many summands? It turns out that there is a simple answer to this, but it requires some care. January 6, 2010 at 3:07 AM. Very nice, sir. an actually-understandable treatment! Subscribe to: Post Comments (Atom).

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Fresh Chalk: A Statement of the Riemann Hypothesis

http://www.freshchalk.blogspot.com/2010/02/brief-statement-of-riemann-hypothesis.html

February 11, 2010. A Statement of the Riemann Hypothesis. The Riemann Hypothesis, a longstanding unsolved conjecture in analytic number theory, is considered by many mathematicians to be one of the most important unsolved problems in theoretical mathematics. To understand the statement takes only a typical undergraduate mathematics education, but to find a proof would be the capstone of a mathematical career. The Riemann zeta function is most simply described as a series, the infinite sum over n of 1/n.

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Fresh Chalk: February 2010

http://www.freshchalk.blogspot.com/2010_02_01_archive.html

February 11, 2010. A Statement of the Riemann Hypothesis. The Riemann Hypothesis, a longstanding unsolved conjecture in analytic number theory, is considered by many mathematicians to be one of the most important unsolved problems in theoretical mathematics. To understand the statement takes only a typical undergraduate mathematics education, but to find a proof would be the capstone of a mathematical career. The Riemann zeta function is most simply described as a series, the infinite sum over n of 1/n.

4

Fresh Chalk: January 2010

http://www.freshchalk.blogspot.com/2010_01_01_archive.html

January 06, 2010. Sums are a beautiful notion which are sometimes taken for granted. 2 2 = 4, the sum from 1 to infinity of 1/2. Is equal to 1, and so forth. In the case of countably infinite sums, questions of convergence become important. But what happens when you have a sum over uncountably many summands? It turns out that there is a simple answer to this, but it requires some care. Subscribe to: Posts (Atom). View my complete profile. Nasty, Brutish, and Five Foot Four.

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Fresh Chalk: A Small Subset of the Reals

http://www.freshchalk.blogspot.com/2009/11/small-subset-of-reals.html

November 23, 2009. A Small Subset of the Reals. Be an enumeration of the rationals, and for each n, let U. Be an open interval of length 1/2. Denote the union of all U. By U Then U is a dense open subset of the reals which has measure at most 1. Image by Claude Monet. November 26, 2009 at 7:02 PM. Your blog is very nice. November 28, 2009 at 11:50 AM. A very sexy art math fusion! Subscribe to: Post Comments (Atom). A Small Subset of the Reals. A Dinner Party Problem. An Equation With Squares.

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Unscientific Thought: June 2010

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Like what you see? Thursday, June 10, 2010. My Dell Inspiron 6400 laptop has been getting slower and slower since I first purchased it new around three years ago. I had assumed that this was due to the inevitable degradation of Windows Vista, but a fresh reinstall of Windows 7 didn't help. When I burned myself on the bottom panel of the laptop, that was a pretty good indication that I should check for an overheating problem. Subscribe to: Posts (Atom). View my complete profile.

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Unscientific Thought: December 2009

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Like what you see? Friday, December 18, 2009. Anatomy of an Exam. Yesterday, I took the least satisfying exam I have ever had the misfortune of encountering. (Note that this isn't a case of sour grapes. On my part; I scored fine, and my cumulative marks are safely in the 'good range'.). Some of the questions on this 25-question, multiple-choice molecular genetics final included:. Q: "Which domain(s) recognize(s) methylated histone tails? A) Chromo domains b) Bromo domains c) Both Chromo and Bromo domains.

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Unscientific Thought: February 2010

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Like what you see? Sunday, February 28, 2010. Chemical Engineering Education, Part One. It occurred to me yesterday that I have no idea what the top ten bulk chemical products in the world are. I cannot connect the common names (limestone, potash) to the most basic of chemical reagents, and I have no idea where or how they are derived. I just barely grasp the general processes that occur in an oil refinery, and I know next to nothing about any other industrially-relevant chemical transformations. Univers...

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Unscientific Thought: Chemical Engineering Education, Part Two

http://unscientificthought.blogspot.com/2010/11/chemical-engineering-education-part-ii.html

Like what you see? Tuesday, November 2, 2010. Chemical Engineering Education, Part Two. At a large public research institute such as Penn State, it is all-too-obvious that teaching comes a distant last on the list of priorities. Which is a real shame. what happened to the original Land Grant. Rationale that founded the place? In the course of advising friends-of-friends and just talking to people casually, I come across stories like this all the time:. The situation is (hopefully) better at places where ...

unscientificthought.blogspot.com

Unscientific Thought: November 2010

http://unscientificthought.blogspot.com/2010_11_01_archive.html

Like what you see? Tuesday, November 2, 2010. Chemical Engineering Education, Part Two. At a large public research institute such as Penn State, it is all-too-obvious that teaching comes a distant last on the list of priorities. Which is a real shame. what happened to the original Land Grant. Rationale that founded the place? In the course of advising friends-of-friends and just talking to people casually, I come across stories like this all the time:. The situation is (hopefully) better at places where ...

unscientificthought.blogspot.com

Unscientific Thought: Wheels of Time

http://unscientificthought.blogspot.com/2010/07/wheels-of-time.html

Like what you see? Saturday, July 17, 2010. Plants, animals (including humans), and even many bacteria have internal clocks that give the organism some sense of what time of day it is. Chronobiology. Is the branch of science that studies the regulation and biological significance of these cyclic phenomena. Plants have photochemical clocks. That utilize photoreactive pigments such as cryptochrome. And Non-24-Hour Sleep Wake Syndrome. For these reasons, I've often wondered if I have either DSPS or Non-24&#...

unscientificthought.blogspot.com

Unscientific Thought: July 2010

http://unscientificthought.blogspot.com/2010_07_01_archive.html

Like what you see? Wednesday, July 21, 2010. This Should Not Be Up For Debate, Part II. From an article in the Health Behavior section of MSNBC:. Researcher Nina Kraus said the data strongly suggested that the neural connections made during musical training also primed the brain for other aspects of human communication. This result is pretty intuitive. The typical criticism leveled at this type of study is that it is very difficult to remove the confounding influence of social and economic wealth. Plants...

unscientificthought.blogspot.com

Unscientific Thought: This Should Not Be Up For Debate, Part II

http://unscientificthought.blogspot.com/2010/07/this-should-not-be-up-for-debate-part.html

Like what you see? Wednesday, July 21, 2010. This Should Not Be Up For Debate, Part II. From an article in the Health Behavior section of MSNBC:. Researcher Nina Kraus said the data strongly suggested that the neural connections made during musical training also primed the brain for other aspects of human communication. This result is pretty intuitive. The typical criticism leveled at this type of study is that it is very difficult to remove the confounding influence of social and economic wealth. Studen...

unscientificthought.blogspot.com

Unscientific Thought: Graduation and Utah

http://unscientificthought.blogspot.com/2011/08/graduation-and-utah.html

Like what you see? Monday, August 15, 2011. Yesterday, I graduated from Penn State. Fortunately, I was spared the pomp and circumstance by being 3,455 kilometers to the west, in Cedar City, Utah. Instead of the Bryce Jordan Center, today I spent the day exploring Bryce Canyon, a huge amphitheater filled with limestone towers called 'hoodoos' created by the erosive effects of rain and frost. I definitely win. To Be Continued: Zion Canyon, Bryce Canyon, and 'nitrogen-enriched' gasoline).

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Unscientific Thought: This Should Not Be Up For Debate, Part I

http://unscientificthought.blogspot.com/2010/07/this-should-not-be-up-for-debate-part-i.html

Like what you see? Monday, July 12, 2010. This Should Not Be Up For Debate, Part I. Music is something that almost anyone can do. You don't need to be an aspiring music professional, or even particularly gifted in the musical arts, to appreciate music and benefit from a musical education. Patience, persistence, and the art of practice - the music-making process emphasizes skills that are useful in all life paths. If you have to ask. you'll never know. July 13, 2010 at 8:36 AM. View my complete profile.

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Fresh Chalk

February 11, 2010. A Statement of the Riemann Hypothesis. The Riemann Hypothesis, a longstanding unsolved conjecture in analytic number theory, is considered by many mathematicians to be one of the most important unsolved problems in theoretical mathematics. To understand the statement takes only a typical undergraduate mathematics education, but to find a proof would be the capstone of a mathematical career. The Riemann zeta function is most simply described as a series, the infinite sum over n of 1/n.

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