OpenAI's new o1 models push AI to PhD-level intelligence
OpenAI o1 introduces advanced language models for complex problem-solving, outperforming previous models significantly in mathematical reasoning.
OpenAI launches new o1 series. How these models are different and how to access them
OpenAI's o1 models prioritize deeper reasoning for improved performance in complex problem-solving.
They excel in math and coding tasks by taking time to reflect before responding.
The 'Harvard University' brainteaser that 90% of people fail
The brainteaser demonstrates the importance of interpretation in problem-solving, offering multiple valid answers based on different assumptions.
The Mathematical Mind Offers Neuroscientists a Master Class in Concentration
Expert mathematicians enter a unique deep concentration state when solving complex math problems, revealing insights into how the brain engages with challenging tasks.
8 lessons on lifelong learning from an astrophysicist
Astrophysicists must master mathematics and problem-solving skills, focusing on careful problem setup to cultivate deeper insights throughout their learning journey.
OpenAI's new o1 models push AI to PhD-level intelligence
OpenAI o1 introduces advanced language models for complex problem-solving, outperforming previous models significantly in mathematical reasoning.
OpenAI launches new o1 series. How these models are different and how to access them
OpenAI's o1 models prioritize deeper reasoning for improved performance in complex problem-solving.
They excel in math and coding tasks by taking time to reflect before responding.
The 'Harvard University' brainteaser that 90% of people fail
The brainteaser demonstrates the importance of interpretation in problem-solving, offering multiple valid answers based on different assumptions.
The Mathematical Mind Offers Neuroscientists a Master Class in Concentration
Expert mathematicians enter a unique deep concentration state when solving complex math problems, revealing insights into how the brain engages with challenging tasks.
8 lessons on lifelong learning from an astrophysicist
Astrophysicists must master mathematics and problem-solving skills, focusing on careful problem setup to cultivate deeper insights throughout their learning journey.
Why physics is unreasonably good at creating new math
Physics is increasingly inspiring breakthroughs in mathematics, reversing the historical trend of mathematics guiding physics.
Time: yes, it's a dimension, but no, it's not like space
The shortest distance between two points in spacetime is not a straight line, unlike in traditional three-dimensional space.
How Geometry Revealed Quantum Memory
Mathematics can be exciting and surprising, especially when exploring its deeper connections to physical phenomena.
String Theorists Accidentally Find a New Formula for Pi
Recent research by Saha and Sinha offers a new formula for pi, discovered while exploring fundamental forces in string theory.
Round About Four Dimensions - Exploring the Unknown
The sculpture represents a 'hypercube' or 'tesseract', a concept used in mathematical and physical theories to illustrate dimensions beyond the three spatial dimensions we are familiar with.
The sculpture attempts to bring to life the intangible concept of four-dimensional rotation and invites visitors to ponder the complexity of the universe.
Why physics is unreasonably good at creating new math
Physics is increasingly inspiring breakthroughs in mathematics, reversing the historical trend of mathematics guiding physics.
Time: yes, it's a dimension, but no, it's not like space
The shortest distance between two points in spacetime is not a straight line, unlike in traditional three-dimensional space.
How Geometry Revealed Quantum Memory
Mathematics can be exciting and surprising, especially when exploring its deeper connections to physical phenomena.
String Theorists Accidentally Find a New Formula for Pi
Recent research by Saha and Sinha offers a new formula for pi, discovered while exploring fundamental forces in string theory.
Round About Four Dimensions - Exploring the Unknown
The sculpture represents a 'hypercube' or 'tesseract', a concept used in mathematical and physical theories to illustrate dimensions beyond the three spatial dimensions we are familiar with.
The sculpture attempts to bring to life the intangible concept of four-dimensional rotation and invites visitors to ponder the complexity of the universe.
Universe would die before monkey with keyboard writes Shakespeare, study finds
Mathematicians argue that the infinite monkey theorem is misleading, showing that producing Shakespeare's works is statistically improbable even over massive timescales.
Can you solve it? The box problem that baffled the boffins
Andrew and Barbara's prize-finding game illustrates surprising probabilities and strategic approaches, prompting discussion about success rates in their respective search methods.
These Numbers Look Random but Aren't, Mathematicians Prove
Probability is challenging to characterize in the real world
Pseudorandom numbers are commonly used in various industries
Analysis of the Jante's Law Process and Proof of Conjecture: Proof of Theorem 1 | HackerNoon
The paper explores how deterministic initial conditions affect the limiting behavior of random processes in mathematical systems.
Universe would die before monkey with keyboard writes Shakespeare, study finds
Mathematicians argue that the infinite monkey theorem is misleading, showing that producing Shakespeare's works is statistically improbable even over massive timescales.
Can you solve it? The box problem that baffled the boffins
Andrew and Barbara's prize-finding game illustrates surprising probabilities and strategic approaches, prompting discussion about success rates in their respective search methods.
These Numbers Look Random but Aren't, Mathematicians Prove
Probability is challenging to characterize in the real world
Pseudorandom numbers are commonly used in various industries
Analysis of the Jante's Law Process and Proof of Conjecture: Proof of Theorem 1 | HackerNoon
The paper explores how deterministic initial conditions affect the limiting behavior of random processes in mathematical systems.
Why This Great Mathematician Wanted a Heptadecagon on His Tombstone
Gauss wished to be remembered for his proof of the regular heptadecagon, highlighting its significance in his mathematical legacy.
He was in mystic delirium': was this hermit mathematician a forgotten genius whose ideas could transform AI or a lonely madman?
Grothendieck's contributions to mathematics revolutionized various fields, but his later life was marked by isolation and despair.
Math and Puzzle Fans Find Magic in Martin Gardner's Legacy
Martin Gardner left a remarkable legacy in the field of mathematics and science communication, captivating audiences with puzzles and magic.
Mathematician Al Schatz dies at 90 | Cornell Chronicle
Alfred H. Schatz was a distinguished mathematician known for his expertise in finite element methods and contributions to solving complex partial differential equations.
Why This Great Mathematician Wanted a Heptadecagon on His Tombstone
Gauss wished to be remembered for his proof of the regular heptadecagon, highlighting its significance in his mathematical legacy.
He was in mystic delirium': was this hermit mathematician a forgotten genius whose ideas could transform AI or a lonely madman?
Grothendieck's contributions to mathematics revolutionized various fields, but his later life was marked by isolation and despair.
Math and Puzzle Fans Find Magic in Martin Gardner's Legacy
Martin Gardner left a remarkable legacy in the field of mathematics and science communication, captivating audiences with puzzles and magic.
Mathematician Al Schatz dies at 90 | Cornell Chronicle
Alfred H. Schatz was a distinguished mathematician known for his expertise in finite element methods and contributions to solving complex partial differential equations.
How I peer into the geometry behind computer vision
AI research focuses on developing theoretical foundations and applications, particularly in brain-computer interfaces to aid movement for paralyzed individuals.
Think AI can solve all your business problems? Apple's new study shows otherwise
Large language models struggle with reasoning, failing to focus on relevant information in complex tasks.
Google DeepMind takes AI closer to human capacity in complex math
Google DeepMind paired AI systems to tackle complex math problems, showing progress but still below human capabilities in certain aspects.
Daily briefing: Mathematicians have described a new class of shape: soft cells
Straightforward solutions to antimicrobial resistance could avert millions of deaths.
Mathematicians have discovered a new class of shapes called soft cells, which are prevalent in nature.
Revisiting Wuhan's animal market offers clues about the initial spread of COVID-19.
Alibaba Releases Two Open-Weight Language Models for Math and Voice Chat
Alibaba unveiled Qwen2-Math for mathematical solutions and Qwen2-Audio for multi-modal input, showcasing significant advancements in language models.
Decline after fall, Books in brief
Self-driving technology requires human oversight, demonstrating the ongoing evolution of automotive innovation.
How I peer into the geometry behind computer vision
AI research focuses on developing theoretical foundations and applications, particularly in brain-computer interfaces to aid movement for paralyzed individuals.
Think AI can solve all your business problems? Apple's new study shows otherwise
Large language models struggle with reasoning, failing to focus on relevant information in complex tasks.
Google DeepMind takes AI closer to human capacity in complex math
Google DeepMind paired AI systems to tackle complex math problems, showing progress but still below human capabilities in certain aspects.
Daily briefing: Mathematicians have described a new class of shape: soft cells
Straightforward solutions to antimicrobial resistance could avert millions of deaths.
Mathematicians have discovered a new class of shapes called soft cells, which are prevalent in nature.
Revisiting Wuhan's animal market offers clues about the initial spread of COVID-19.
Alibaba Releases Two Open-Weight Language Models for Math and Voice Chat
Alibaba unveiled Qwen2-Math for mathematical solutions and Qwen2-Audio for multi-modal input, showcasing significant advancements in language models.
Decline after fall, Books in brief
Self-driving technology requires human oversight, demonstrating the ongoing evolution of automotive innovation.
Randall Munroe creatively combines humor and puzzles, appealing to problem-solvers while engaging readers with meta-jokes and unique mathematical challenges.
Did you solve it? An object that defies common sense
Designing an object that fits through a narrow opening but not a wide one challenges intuitive thinking.
Did you solve it? The enigma of Randall Munroe
The first puzzle has multiple valid solutions for x, y, and z, illustrating the complexity of mathematical reasoning.
The second puzzle reveals the value of D as 7 through logical deductions based on region sums.
Did you solve it? The poker puzzle that has everyone fooled
The circumference of a pint glass is often unintuitively longer than the height.
Understanding poker hand rankings is crucial to determining the winning hand.
Can you solve it? The enigma of Randall Munroe
Randall Munroe creatively combines humor and puzzles, appealing to problem-solvers while engaging readers with meta-jokes and unique mathematical challenges.
Did you solve it? An object that defies common sense
Designing an object that fits through a narrow opening but not a wide one challenges intuitive thinking.
Did you solve it? The enigma of Randall Munroe
The first puzzle has multiple valid solutions for x, y, and z, illustrating the complexity of mathematical reasoning.
The second puzzle reveals the value of D as 7 through logical deductions based on region sums.
Did you solve it? The poker puzzle that has everyone fooled
The circumference of a pint glass is often unintuitively longer than the height.
Understanding poker hand rankings is crucial to determining the winning hand.
The introduction of zero transformed mathematics from a tangible discipline to one that accommodates abstract concepts, enabling exploration of complex ideas and universal language.
Where Does Math Come From?
Math's essence is debated: is it a discovery of the universe or a human invention?
Zero: The key to understanding everything?
The introduction of zero transformed mathematics from a tangible discipline to one that accommodates abstract concepts, enabling exploration of complex ideas and universal language.
Where Does Math Come From?
Math's essence is debated: is it a discovery of the universe or a human invention?
Google makes breakthrough in one of the hardest tests for AI
Google Deepmind has created a new AI system, AlphaGeometry, that can solve geometry problems at the level of top high-school students.
The system was able to solve 25 out of 30 problems from the International Mathematical Olympiad, surpassing the previous best method.
This AI just figured out geometry - is this a step towards artificial reasoning?
An AI developed by Google Deepmind can solve International Mathematical Olympiad-level geometry problems by learning basic principles from large amounts of data.
Mass predator die-offs can have significant effects on the delicate balance of ecosystems, but there is still limited knowledge about these effects.
Mathematicians define new class of shape seen throughout nature
Mathematicians have discovered a new class of shapes that fill 2D space without gaps, termed 'soft cells'.
Mathematicians Reinvent the Wheel in Higher Dimensions to Solve Decades-Old Geometry Problem
Mathematicians are reimagining wheels, creating many-dimensional shapes that can roll in ways beyond our understanding.
Google makes breakthrough in one of the hardest tests for AI
Google Deepmind has created a new AI system, AlphaGeometry, that can solve geometry problems at the level of top high-school students.
The system was able to solve 25 out of 30 problems from the International Mathematical Olympiad, surpassing the previous best method.
This AI just figured out geometry - is this a step towards artificial reasoning?
An AI developed by Google Deepmind can solve International Mathematical Olympiad-level geometry problems by learning basic principles from large amounts of data.
Mass predator die-offs can have significant effects on the delicate balance of ecosystems, but there is still limited knowledge about these effects.
Mathematicians define new class of shape seen throughout nature
Mathematicians have discovered a new class of shapes that fill 2D space without gaps, termed 'soft cells'.
Mathematicians Reinvent the Wheel in Higher Dimensions to Solve Decades-Old Geometry Problem
Mathematicians are reimagining wheels, creating many-dimensional shapes that can roll in ways beyond our understanding.
Mathematics is a human language with unique idiosyncrasies, blending the universal with the personal.
Why You Can Never Tune a Piano
Pianos cannot be perfectly tuned due to mathematical constraints, differing from string instruments like guitars and violins.
Analysis of the Jante's Law Process and Proof of Conjecture: Coupling Y () and Z() | HackerNoon
The main focus is on proving absolute continuity in a mathematical context regarding convex bodies and isoperimetric inequalities.
How math brings order to our universe
Mathematics serves as a universal language that connects the natural world with deeper theological insights about order and purpose.
Students Find New Evidence of the Impossibility of Complete Disorder
Sah, Sawhney, and Leng made a breakthrough in understanding arithmetic progressions and order within large sets of integers after decades of stagnation.
In Britain, we are still astonishingly ignorant': the hidden story of how ancient India shaped the west
Brahmagupta defined zero as a number, revolutionizing mathematics and allowing for arithmetic based on ten symbols, including zero.
Analyzing Reward Functions and Equivalence Classes | HackerNoon
This article delves into the mathematical underpinnings and empirical validations of a new algorithm, showcasing its advantages over classical methods.
High-Dimensional Sudoku Puzzle Proves Mathematicians Wrong on Long-standing Geometry Problem
Tiling in higher dimensions can result in nonrepeating chaos, challenging the periodic tiling conjecture.
A new type of strictly aperiodic tile was discovered, disproving the conjecture that all tiling must repeat.
The Great FP Terminology Barrier (Scala 3 Video)
Effective method naming in programming bridges clarity and usability, encouraging broader adoption.
Aligning programming terminology with mathematical concepts can enhance comprehension among users.
Advanced Poker Math In Online Casinos: Pot Odds, Implied Odds, And Expected Value
Poker math is essential for informed decision-making, especially regarding pot odds, expected value, and implied odds in both cash games and tournaments.
The Paradox of 1 1 + 1 1 + 1 1 +
Infinite series can produce paradoxical results that challenge our understanding of mathematics and logic.
The exploration of these mathematical enigmas illustrates the intersection of human reasoning and abstract concepts.
Three of the Strangest Paradoxes in Mathematics
Our intuition in mathematics can often mislead us, especially with concepts like infinity that yield surprising results.
Hilbert's Hotel exemplifies how infinite sets can defy physical limitations, illustrating paradoxes that challenge our intuitive understanding.
Portland Artist Sidony O'Neal Is Looking for Connective Tissue
O'Neal's essay in a Black feminist anthology explores the concept of equation as a verb, highlighting the idea of something becoming fungible through equal sign functions.
Hidden figures: shining a light on history's most overlooked mathematicians
Math history often overlooks contributions from diverse backgrounds. Kitagawa and Revell seek to enrich and broaden this narrative.
Google's DeepMind AI takes home silver medal in complex math competition
Google's DeepMind AI models successfully solved challenging math problems in the International Mathematical Olympiad, demonstrating advanced mathematical reasoning abilities.
Google DeepMind's Game-Playing AI Tackles a Chatbot Blindspot
Google has developed AlphaProof, combining language models and AI to solve math problems from the International Math Olympiad.
Google claims math breakthrough with proof-solving AI models
AI systems AlphaProof and AlphaGeometry 2 solved 4/6 IMO problems, close to gold medal threshold, showcasing advanced math capabilities.
Google's DeepMind AI takes home silver medal in complex math competition
Google's DeepMind AI models successfully solved challenging math problems in the International Mathematical Olympiad, demonstrating advanced mathematical reasoning abilities.
Google DeepMind's Game-Playing AI Tackles a Chatbot Blindspot
Google has developed AlphaProof, combining language models and AI to solve math problems from the International Math Olympiad.
Google claims math breakthrough with proof-solving AI models
AI systems AlphaProof and AlphaGeometry 2 solved 4/6 IMO problems, close to gold medal threshold, showcasing advanced math capabilities.
This startup is building the country's most powerful quantum computer on Chicago's South Side
Peter Shor's quantum algorithm showcased potential for exponential speedup in solving complex mathematical problems.
nik bentel's mathematics-inspired 'orb bag' has shiny finish that looks like a distorting mirror
Nik Bentel's Orb Bag is inspired by the mathematical surface 'Dupin Cyclide,' creating a mirror-like accessory that distorts reflections for a unique user experience.
So how do you track spread of disease? By the numbers. - Harvard Gazette
Ivan Specht, a Harvard student, used his love for math to develop a contract-tracing app during the pandemic, expanding his coursework and working on statistical modeling related to disease spread.
The Mathematical Case for Monkeys Producing ShakespeareEventually
Monkeys' attempt at producing Shakespeare's works through random typing fell short in a research experiment on the infinite monkey theorem.
Four Cornell professors elected to national academy | Cornell Chronicle
The article highlights the newly elected members of Cornell University's board and their diverse areas of expertise.
Mathematicians Explain Why Some Lengths Can't Be Measured
Mathematicians in the late 19th-century began to question how to measure abstract sets, leading to the development of set theory as a cornerstone for measurement.
Did you solve it? Art thou smarter than Shakespeare?
Shakespeare had clever ways of encoding numbers in his works.
Elizabethan England had popular gambling games like Hazard.
Shakespeare used various measurements of distance in his writings.