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Euclid, from Rafael’s “School of Athens”, Vatican Museum, Rome, photo courtesy Clay Mathematics Institute
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Perfect numbers
A perfect number is a positive integer whose divisors (not including itself) add up to the integer. The smallest perfect number is $6$, since $6 = 1 + 2 + 3$. The next is $28 = 1 + 2 + 4 + 7 + 14$, followed by $496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248$ and $8128 = 1 + 2 + 4 + 8 + 16 + 32
Continue reading Do odd perfect numbers exist? New results on an old problem
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极速加速器安卓官网jisu99
AI comes of age
学习强国:2 天前 · 学习强国
A breakthrough of sorts came in the late 1990s and early 2000s with the emergence of Bayes-theorem-based methods, which quickly displaced the older methods based mostly on formal reasoning. When combined with steadily advancing
Continue reading Can computers do mathematical research?
Peter Borwein dies at 67 微软 Bing 搜索 - 国内版:微软Bing搜索是国际领先的搜索引擎，为中国用户提供网页、图片、视频、学术、词典、翻译、地图等全球信息搜索服务。下载 ...
Peter Borwein, retired Professor of Mathematics at Simon Fraser University (British Columbia, Canada) and former Director of SFU’s Centre for Interdisciplinary Research in the Mathematical and Computational Sciences (IRMACS), died on August 23, 2020, at the age of 67, of pneumonia, after courageously battling multiple sclerosis for over 20 years.
Peter was a prolific mathematician, with over 200 publications, including several books. His research included works in classical analysis, computational number theory, Diophantine number theory and symbolic computing. Many of these papers were co-authored with his brother
Continue reading Peter Borwein dies at 67
Two mathematicians’ triple play MathJax.Hub.Config({tex2jax: {inlineMath: [[‘$’,’$’], [‘\\(‘,’\\)’]]}});
极速加速器安卓官网jisu99
Paul Erdős, one of the twentieth century’s most unique mathematicians, was known to travel from colleague to colleague, often arriving unannounced, and to immediately delve into some particularly intriguing research problem. See this article and this book for some additional background on this influential mathematician.
One of his more interesting conjectures is his “conjecture on arithmetic progressions,” sometimes referred to as the “Erdős-Turán conjecture.” It can be simply stated as follows: If $A$ is a set of positive integers such that $$\sum_{k \in A} \frac{1}{k} = \infty,$$ then $A$ contains arithmetic progressions of
Continue reading 学习强国:2 天前 · 学习强国
How old is the universe? New results clash MathJax.Hub.Config({tex2jax: {inlineMath: [[‘$’,’$’], [‘\\(‘,’\\)’]]}});
The standard model
The standard model of physics, namely the framework of laws at the foundation of modern physics, has reigned supreme since the 1970s, confirmed to great precision in a vast array of experimental tests. Among other things, the standard model predicted the existence of the Higgs boson, which was experimentally discovered in 2012, nearly 50 years after it was first predicted.
Yet physicists have recognized for many years that the standard model cannot be the final answer. For example, quantum theory and general relativity are known to be mathematically incompatible. String theory and
Continue reading How old is the universe? New results clash
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The scales of justice (courtesy Wikimedia)
Covid-19’s grim toll
The statistics are staggering: As of 1 June 2020, according to the Johns Hopkins University database, the U.S. had logged over 1.811 million confirmed cases of Covid-19 and over 105,000 deaths. The U.K. was next, with over 277,000 confirmed cases and over 38,000 deaths. Worldwide, over 6.3 million cases had been confirmed, with more than 376,000 deaths. If current trends continue, the U.S. death toll alone will soon exceed that of all wars in its history except for the Civil War and World War II.
The economic costs have been
Continue reading Covid-19 and the worth of a human life
The origin of life in an inflationary universe RNA (on left) compared with DNA (on right); courtesy Wikimedia
The abiogenesis problem
Exactly how life first emerged on Earth (the “abiogenesis” problem) remains a critical unsolved question in biology. Was it inevitable, given a favorable environment, or was it a fantastically improbable event? All we know for sure is that it occurred at least 3.8 billion years ago and possibly more than 4 billion years ago. The fact that life arose relatively soon after the surface of the Earth solidified indicates to some that abiogenesis was inevitable, but there is no way to know for sure. For further
Continue reading 微软 Bing 搜索 - 国内版:微软Bing搜索是国际领先的搜索引擎，为中国用户提供网页、图片、视频、学术、词典、翻译、地图等全球信息搜索服务。下载 ...
Pseudoscience in the age of Coronavirus The Covid-19 virus (courtesy U.S. Center for Disease Control and Prevention)
A pandemic is upon us
As this is being written (April 2020), the entire world is gripped in the throes of the rapidly spreading and deadly Covid-19 pandemic. International travel has been greatly curtailed worldwide; many businesses, large and small, have shut their doors; many K-12 schools and universities have closed; and entire regions and nations, encompassing well over one billion people, have been ordered to remain in their homes.
As of the current date (28 April 2020), the Johns Hopkins University Coronavirus Resource Center has tallied 3,062,000
Continue reading 学习强国:2 天前 · 学习强国
“From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein” We are happy to announce the publication of “From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”, a compilation of research papers devoted to the memory of Jonathan Borwein. The book is the proceedings of a conference held in Borwein’s honor in September 2017 at Newcastle, Australia, near where Prof. Borwein taught for several years before passing away in August 2016.
The volume has been published by Springer, and is available for purchase from the Springer website, or from Amazon.com.
The individual papers are authored by many of Jonathan Borwein’s colleagues and collaborators. Here
Continue reading “From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”
Why are people embracing astrology in an age of science?
An age of unparalleled progress
hao123_上网从这里开始:hao123是汇集全网优质网址及资源的中文上网导航。及时收录影视、音乐、小说、游戏等分类的网址和内容，让您的网络生活更简单精彩。上网，从hao123开始。
hao123_上网从这里开始:hao123是汇集全网优质网址及资源的中文上网导航。及时收录影视、音乐、小说、游戏等分类的网址和内容，让您的网络生活更简单精彩。上网，从hao123开始。
Continue reading Why are people embracing astrology in an age of science?
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国内ssr节点
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Do odd perfect numbers exist? New results on an old problem
-
Can computers do mathematical research?
-
Peter Borwein dies at 67
-
Two mathematicians’ triple play
-
How old is the universe? New results clash
-
Covid-19 and the worth of a human life
-
The origin of life in an inflationary universe
-
Pseudoscience in the age of Coronavirus
-
“From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”
-
Why are people embracing astrology in an age of science?
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