Welcome to a podcast about performance climbing, self-improvement, and being a human being. 5M+ downloads. "One of the best long-form interview podcasts in the outdoor space." - Climbing Magazine
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Lattice Podcasts
We. Train. Climbers. At Lattice, we aim to develop and grow our understanding of effective training for climbing, a sport that is still very much in its infancy. We hope to educate and share psych about our amazing sport! Ultimately enabling everyone to excel in climbing and enjoy the sport throughout all of life's stages.
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Welcome to the Lattice podcast, the official podcast for 3DHEALS. This is where you will find fun but in-depth conversations (by founder Jenny Chen) with technological game-changers, creative minds, entrepreneurs, rule-breakers, and more. The conversations focus on using 3D technologies, like 3D printing and bioprinting, AR/VR, and in silico simulation, to reinvent healthcare and life sciences. This podcast will include AMA (Ask Me Anything) sessions, interviews, select past virtual event re ...
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Lattice co-founder Jack Altman interviews industry leaders on their unique management styles — uncovering actionable insights around topics like championing low-ego leadership and creating a culture of extreme transparency.
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Explore the minds of fascinating specialists ranging from mathematics, physics, web3, cybersecurity, HFT/MEV, startup founders, investigators and so many more. Every episode will give you a glimpse into the unknown unknowns. Enjoy your stay, anon. Keywords: mathematics, math, physics, biology, chemistry, solo auditor, public auditing platforms, private audits, scalability, freedom, Scraping Bits podcast, blockchain technology, audit industry, flashbots, reverse engineering, cybersecurity, in ...
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A journal club to review recent journal articles in the field of retina. The target audience are retina specialists and other healthcare professionals who want to stay up-to-date with the latest publications in the field of retina.
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Intellectually Curious is a podcast by Mike Breault featuring over 1,200 AI-powered explorations across science, mathematics, philosophy, and personal growth. Each short-form episode is generated, refined, and published with the help of large language models—turning curiosity into an ongoing audio encyclopedia. Designed for anyone who loves learning, it offers quick dives into everything from combinatorics and cryptography to systems thinking and psychology. Inspiration for this podcast: "Mu ...
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Venture Unlocked is the playbook for starting, operating, & scaling a successful venture capital firm. Samir Kaji, Host of Venture Unlocked has +20-years of experience assisting & advising startups and venture firms. Listen for VC fund guidance. ventureunlocked.substack.com
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Share Knowledge
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A deep dive into the craft of Product Marketing with the best Product Marketers in the world. Each week we sit down with Product Marketing experts at some of the fastest growing technology companies in the world. Hosted by Jeffrey Vocell, Director of Product Marketing at Iterable and brought to you by Sharebird.com, the leading Product Marketing question and answer site.
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Podcast by Stephen Kenyon and Taylor Jacovich
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I've built a radically DIY synthesizer out of electronic components and tin cans and paper bags. Listen to me wrestle mightily with it, trying to get it to make tolerable sounds!
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The Australian climbing podcast. Chatting to the old school legends, modern day heroes and everyone else who make up our awesome community. Tune in for stories, opinions, training and nutrition info. Spreading the love.
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Jamie Hutchinson and Dead Men Tom discuss crisps and other weird things they're obsessed with. Hosted on Acast. See acast.com/privacy for more information.
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Allen Webster, the creator of the Mr. 4th Programming YouTube channel, interviews programmers on their views and experiences of programming. Topics include trends in independent software culture, insights about being an effective software developer, the strengths and weaknesses of specific techniques and technologies, and much more. Find more about Mr. 4th at mr4th.com
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CAMTech Chats is a curated podcast series about current topics in medtech brought to you by the Consortium for Affordable Medical Technologies (CAMTech) at Massachusetts General Hospital Global Health.
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There is a better way to get shit done! Listen to host Ray Gillenwater interview our favorite entrepreneurs and corporate executives to learn how they maximize productivity and efficiency at work.
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A sci-fi audio drama delivered as a first hand account from the eyes of Joseph Crane, Humanity's 'last historian', as he attempts to chronicle their survival in rolling cities known as The Collective, fleeing from a malicious entity only found in the darkside of the planet.
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The Charge Cycle is an electrifying new podcast powering the discussion on fleet electrification. If you are a procurement manager, fleet operator, or one of the millions tasked with a zero-emission deployment goal, this podcast is for you. We speak with industry experts, funding veterans, OEM’s, policy specialists and more to help you stay ahead of the enormous electrification shift underway. Hosted by the executive staff of e-Mission Control, The Charge Cycle covers topics on electric equi ...
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I’m Aaron Harris. I was a partner at Y Combinator for 7.5 years and now run Magid and Company. For the last decade, I’ve been obsessed with one question: How do founders fundraise? On Asking VCs for Money, I’ll be talking to founders about…well…asking VCs for money. We’ll talk about what they actually did - the tactics and strategies that led to success - how they met investors, how they prepared their pitches, and how they negotiated term sheets. I’m going to focus on process and particular ...
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OEIS A000344: Fivefold Catalan Convolution, Lattice Paths, and Young Tableaux
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A000344 counts a surprising blend of combinatorics and algebra. It arises as the number of lattice paths from (0,0) to (n,n) that touch but never cross the line x - y = 2 (i.e., stay on or below x - y = 2), which is the 5-fold convolution of the Catalan numbers. Equivalently, it tallies standard Young tableaux of shape (n+2, n, 2), and its ordinary…
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Episode #94 | Advances in Biomaterials for Medical 3D Printing (Virtual Event Recording)
1:45:54
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What truly makes bioprinting possible isn’t just 3D printers. It's important to understand the materials that flow through them. In this virtual event, we explored the world of biomaterials for tissue engineering and how chemists are shaping the future of regenerative medicine through careful material design. On demand course: https://3dheals.com/c…
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A deep dive into the enigmatic Picts—Brittonic-speaking peoples of northern and eastern Scotland—and how their rise, language, and symbols laid the groundwork for the kingdom of Alba. We trace Fortriu’s power, the pivotal battles at Dun Nechtain, the Viking-age upheavals, and Kenneth MacAlpin’s dynastic shift, exploring the gradual Gaelic integrati…
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OEIS A000345: Partitions into non-integral powers
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A journey from a physics-inspired partition problem to a concrete lattice-point counting interpretation. We explore A000345, the nonnegative sequence counting partitions into non-integral powers, with roots in a 1951 statistical mechanics paper by Agarwala and Auluck and entries in Sloan’s Handbooks. In 2009, R.J. Mathar gave a concrete reinterpret…
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OEIS A000343: Five-rooted trees and linear forests
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We unpack how raising the rooted-tree generating function B(x) to the fifth power counts linear forests of five rooted trees, and the surprising equivalence with five rooted paths. We'll recap the building blocks—rooted trees, forests, and linear forests (paths) with no branches—and explain why B(x)^5 enumerates the same structures as five-path for…
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We explore A000342, the OEIS entry that counts n-node rooted trees of exact height 5. Height here means the longest path from the root to a leaf is exactly 5 edges, which forces at least 6 nodes. So the early terms start 0, 0, 0, 1, 5, 19, 61, illustrating how the height constraint shapes the counts compared with unconstrained rooted trees. We’ll d…
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Ice Unplugged: The Hidden Electricity of Water's Freeze
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A deep dive into groundbreaking research showing ordinary ice can generate electricity through flexoelectric bending and a thin surface ferroelectric layer. We explain how strain gradients in ice crystals create charge, why the effect peaks near −113°C and grows as ice develops a quasi-liquid surface, and how electrode work functions drive interfac…
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Join us as we unpack OEIS A000341, the count of perfect matchings of the set {1,...,2n} where each pair sums to a prime. We’ll walk through small n, visualize the pairings, and see why the terms can rise and fall in surprising ways. We’ll connect the counting to the permanent of a 0–1 matrix (with entries indicating whether i+n+j is prime), and men…
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The Sandbox Economy — When AI Agents Build Markets
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A deep dive into the emergent sandbox economy of autonomous AI agents—how they buy, sell, and coordinate in digital markets and what that means for our human economy. Drawing on Virtual Agent Economies, we explore the opportunities of flexible cognitive capital, the risks of instability and inequality, and the design choices that could steer this e…
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OEIS A000340: Recursive sequences, explicit formulas, and generating functions
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Today on The Deep Dive we explore OEIS A000340: the recursively defined sequence with a(0)=1 and a(n)=3·a(n−1)+n+1. We trace its explicit closed form, its generating function, and the other recurrences OEIS lists that define the same numbers. We'll also place A000340 in a broader mathematical context—its connections to sums of powers of 3, appearan…
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John Archibald Wheeler's Web: From Black Holes to It from Bit
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John Archibald Wheeler helped revive general relativity after WWII, played a pivotal role in the Manhattan Project, and popularized transformative ideas that bridge physics and philosophy. He coined terms like black hole, wormhole, and quantum foam, and pushed the provocative notion that information—and perhaps observers—shape reality through it fr…
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OEIS A000339: Partitions into non-integral powers
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We explore A000339, the number A_N of pairs (i1,i2) of positive integers with i1 ≤ i2 and sqrt(i1) + sqrt(i2) ≤ N. This is a non-integral-powers partition problem: we sum square roots, not integers. For each N, A_N counts all such pairs. The sequence begins 1, 5, 18, 45, 100, ... and grows as N increases. The definition and history trace to N. J. A…
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EP 283: Adrian Ballinger — The Mental and Physical Grind of High-Altitude Climbing, and Lessons for Every Climber
2:11:23
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Adrian Ballinger is a renowned alpinist and mountain guide, and has summited Mt. Everest and K2 without supplemental oxygen. We talked about his childhood, misconceptions about what he does, what climbing Everest is actually like, skiing above 8,000 meters, risking his life to send K2, sending Fall of Man 5.13b, how mountaineering compares to proje…
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Computational Neuroscience: From Ion Channels to Consciousness
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A tour of how math, computation, and biology come together to model the brain—from detailed biophysical neuron models and dendritic processing to large-scale cortical circuits—and how these virtual laboratories yield testable predictions, guide clinical insights, and shape our evolving understanding of mind and consciousness. Note: This podcast was…
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OEIS A000338: Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4
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In this Deep Dive we unpack OEIS A000338. We explore its generating function, explain what the offset (offset 3, 1) means, and show how the infinite power-series expansion yields the sequence beginning 5, 18, 42, 75, 117. We derive the linear recurrence and connect the terms to a combinatorial story about discordant permutations, as discussed in J.…
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E90- DRCR Retina Protocol AO- Home OCT for Management of Wet AMD- Dr. Christina Weng
27:26
27:26
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In this episode of The Retina Channel Podcast, Dr. Christina Weng, Professor of Ophthalmology at Baylor College of Medicine and Chair of DRCR Retina Protocol AO, discusses the pivotal trial evaluating home OCT monitoring in neovascular age-related macular degeneration (AMD). The conversation reviews the study’s rationale, methodology, and key findi…
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Cayley Transform: The Universal Bridge Across Real, Complex, and Hilbert Spaces
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We follow Cayley’s transform from real homographies to complex disk models, mapping skew-symmetric matrices to unitary rotations, extending to quaternions, and finally to operators on Hilbert spaces. A single idea that tames infinity, links Poincaré models, and even finds engineering use in the Smith chart. Note: This podcast was AI-generated, and …
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AI Agents for Economic Research: From Tools to Autonomous Researchers
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Anton Korinek's NBER working paper argues that AI is evolving from responsive tools to autonomous agents that can plan, run multi-step analyses, and collaborate across tools to advance economic research. We trace the arc from System 1 to System 2 reasoning to agentic AI, explore vibe coding, private-data protocols, and cost/governance issues, and d…
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OEIS A000337: From binary zeros to polyominoes and primes
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In this Deep Dive, we explore A000337, a small-seeming sequence that threads through binary arithmetic, geometry, and number theory. We'll trace how its simple definition links to counting zeros and bits in binary lists, to directed column-convex polyominoes, and to the genus of cube graphs. Along the way we’ll encounter prime and semiprime pattern…
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The Jewel in the Proof: Exploring the Beauty of Mathematics
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A guided tour through what mathematicians call beautiful—from Euler’s identity and Fermat’s theorem to Cantor’s diagonal argument and visual proofs. We’ll explore how beauty arises in elegant results, clever proofs, or even abstract structures, and what neuroscience reveals about this universal sense of harmony. Note: This podcast was AI-generated,…
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Episode #93 | 3D Design & Geometric Intelligence with Elissa Ross
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What happens when advanced mathematics meets manufacturing? The result is a new way of creating products that range from record-breaking running shoes to life-changing medical devices. In this episode, we sit down with Elissa Ross, mathematician and CEO of Metafold 3D, to explore how her company is using mathematics to reshape design and manufactur…
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Makemake: The Red World Beyond Pluto — Hidden Heat and Possible Ocean
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From its 2005 discovery by Mike Brown's team to its high-inclination orbit that kept it hidden in dense star fields, Makemake is a bright but enigmatic dwarf planet beyond Neptune. We explore how its Easter Island name origin became Makemake, its red, methane- and ethane-ice surface at about 40 K, and the surprising hints that it may host geotherma…
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Diella and the Digital Cabinet: Albania's AI Minister and the Battle Against Corruption
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We explore Albania's audacious move to appoint Diella, an AI minister tasked with policing public procurement and promising 100% corruption-free tenders. The episode digs into the tech, governance, legal, and geopolitical implications—examining accountability, transparency, and what this bold experiment means for Albania's EU ambitions and the futu…
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From Clay Tablets to Code: A Global History of Books
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A guided tour of how the book evolved—from Mesopotamian clay tablets and Egyptian scrolls to the codex, movable type, steam presses, libraries, ISBNs, and the Kindle era. We trace the social and technological shifts that made books portable, accessible, and influential—and how censorship, accessibility, and digital media continue to reshape the way…
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OEIS A000336: Product recurrence and Hasler's elegant identity
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In this Deep Dive we zoom in on OEIS A000336, the classic product-recurrence sequence. Starting with a1=1, a2=2, a3=3, a4=4 and, for n≥5, an = an−1 · an−2 · an−3 · an−4, the seeds explode into astonishing growth: a5=24, a6=576, a7=165,888, a8=9,172,942,848, and far beyond. We’ll unpack why such a simple rule yields such rapid, almost astronomical e…
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OEIS A000335: Euler Transform of tetrahedral numbers (A000292)
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Join us as we unpack A000335, the Euler transform of the tetrahedral numbers (A000292). We’ll explain what tetrahedral numbers are, what the Euler transform does to a generating function, and how the transformed sequence connects geometry to number theory—often via the idea of ordered factorizations. We’ll sketch the intuition, show how to compute …
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Mars Clues: Biosignatures in Jezero's Bright Angel Rocks
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NASA’s Perseverance rover explored Jezero Crater’s Bright Angel Formation and found nodules rich in vivianite, grisite, and organic carbon—a mineral cocktail often linked to microbial metabolism on Earth. We break down why this looks like a potential biosignature, why scientists are excited yet cautious, and what comes next—especially the Mars Samp…
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Kakeya Sets: From Vanishing Area to a 3D Breakthrough
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Imagine you must rotate a line segment through every direction in the smallest possible space. The Kakeya problem began in 1917, provoking Besicovitch’s startling zero-area sets and a shift from area to dimension via Minkowski dimension. We trace the arc from intuitive puzzles to counterintuitive constructions—Perron trees, Paul joins, and the poly…
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Teleology Through Time: From Aristotle to AI and the Persistence of Purpose
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We trace the stubborn staying power of teleology—from Aristotle’s four causes to modern biology’s teleonomy, with stops in physics and the AI frontier. This deep dive asks how purpose stays embedded in science, even as Darwin reshaped biology, and what it means for meaning when intelligent machines pursue goals. A conversation about whether purpose…
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Bridging Chaos and Order: Statistical Mechanics and the Power of Ensembles
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A guided tour through statistical mechanics—from Bernoulli to Gibbs—explaining how ensembles translate countless microscopic jitters into macroscopic properties like temperature and pressure. With a Nobel laureate guest, we explore the three equilibrium ensembles, their limits, and surprising applications across physics, neuroscience, astrophysics,…
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Gaia Unfolded: Earth as a Living, Self-Regulating Planet
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From Lovelock and Margulis's Gaia to the Daisy World model, this episode traces how life and the Earth's environments form a self-regulating system. We explore the origins, core ideas, and evolution of Gaia—weak vs strong variants, the rise of Earth system science, and the debates that challenge the notion of planetary stewardship. Along the way, w…
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A deep dive into the four-dimensional partitions counted by A000334. We unpack what “4D partitions” means as nested chains of partitions, sketch intuition with small examples, trace the history from Sloan and early computations, and connect the combinatorics to physics via statistical mechanics. We also situate A000334 in the family of higher-dimen…
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Spin Glasses: Disorder, Metastability, and the Slow Dance of Magnetism
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What is a spin glass? A disordered magnetic state with random couplings that freezes into many metastable configurations. We explore frustration, non-ergodic dynamics, and slow, non-exponential relaxation that can persist for days. The rugged energy landscape isn’t just about magnets—it’s a framework for thinking about learning in neural networks, …
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OEIS A000333: Partitions into non-integral powers
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What happens when you count sums of square roots rather than sums of integers? OEIS A000333 counts the number of ordered multisets L = (l1 ≤ l2 ≤ … ≤ lk) of positive integers with sqrt(l1) + sqrt(l2) + … + sqrt(lk) ≤ n. For example, A(3) = 15. The problem arose in a 1951 statistical mechanics paper by Agarwala and Alok, where distributing energy qu…
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A000332 is the binomial coefficient n choose 4 (the number of ways to pick 4 items from n). It is zero for n<4 and equals n(n-1)(n-2)(n-3)/24 for n≥4, giving 1, 5, 15, 35, 70, ... These numbers pop up in geometry, combinatorics, and algebra: for example, the number of interior intersection points formed by diagonals of a convex n-gon (assuming no t…
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Santorini Unraveled: Dating the Minoan Eruption and the Bronze Age World
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A Deep Dive into the VEI-7 Santorini eruption and its global reach. We map the four explosive phases, megatsunamis, and the archaeological clues from Akrotiri and Crete, then tackle the fierce debate over the eruption’s date and why it matters for Bronze Age chronology. With radiocarbon science, ice-core signals, and geochemistry, this is a detecti…
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#150 - Francisco Hernandez: Algebraic Geometry, Non-Convex Optimisation
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Host, DeGatchi: https://x.com/DeGatchi DeGatchi's Website: https://degatchi.com Follow Scraping Bits on Twitter: https://x.com/scrapingbits Guest Speaker: https://x.com/SupremoUGH (https://kurtos.ai/) Keywords: mathematics, math, topology, geometry, game theory, calcul…
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Gibbs Paradox: Indistinguishable Particles and the Entropy Puzzle
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We revisit Gibbs' famous paradox: identical gases appear to gain entropy when mixed in classical counting, yet no macroscopic change should occur. We'll trace the flaw to assuming distinguishable particles, show how dividing by N! fixes the counting, and connect this to the Sackur–Tetrode equation, entropy extensivity, and the quantum twist of indi…
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The Carnot Cycle — The Ultimate Efficiency Bound
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We unpack the Carnot cycle—the ideal, reversible engine that defines the maximum efficiency any heat-to-work machine can reach. We'll walk through the four steps (isothermal and adiabatic) between hot and cold reservoirs, derive the efficiency eta = 1 − Tc/Th, and discuss why real engines fall short due to irreversibilities. We’ll also explore the …
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Bell's Theorem: Locality, Hidden Variables, and Quantum Reality
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We unpack the Einstein–Podolsky–Rosen puzzle, explain Bell's inequality, and walk through how experiments tested and violated local hidden-variable theories. From CHSH bounds to loophole-free tests and the 2022 Nobel Prize, we explore what these results say about reality, realism, and the strange non-local nature of quantum mechanics — and the inte…
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OEIS A00331: Coefficient of nu in the Rayleigh polynomial (index 2n)
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We explore A00331, the OEIS entry listing the coefficient of nu in the Rayleigh polynomial of even index 2n. From the numbers 5, 14, 1026, 4324 onward, we see a growth that encodes a deep link to the zeros of the Bessel function. We outline how these coefficients are constructed via standard formulas (psi_on and phi_pn) and why this sequence helps …
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Hilbert Space Unpacked: Infinite Vectors, Real-World Magic
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Join a guided tour through Hilbert space, the elegant generalization of geometry to infinite dimensions. We define the inner product and completeness, explain why a complete inner product space is a Hilbert space, and show how familiar geometric rules survive in endless directions. We trace the history from Hilbert and Schmidt and Lebesgue to Rees,…
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Cantor's Diagonal: The Hidden Order of Infinity
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A deep dive into Cantor's diagonal argument—how counting, one-to-one correspondences, and the construction of a number not on any list reveal a hierarchy of infinities. We explore countable versus uncountable sets (aleph-null vs. the real numbers), the 0-to-1 interval's paradox, and the leap to higher infinities, plus the broader implications for l…
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In this episode we dive into A000330, the square pyramidal numbers, defined by a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6. We’ll see why these count cannonball pyramids with square bases and, in the 2D analogue, the total number of squares in an n×n grid. We discuss the key identity S(n) = T(n) + T(n−1), where T(k) are tetrahedral numbe…
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The Doppler Dance: How Radial Velocity Reveals Exoplanets
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A deep dive into how astronomers detect planets around other stars by watching tiny wobbles in starlight. We explain the Doppler shift, radial velocity measurements, and the quest from the first hot Jupiter 51 Pegasi b to the centimeter-per-second precision of HARPS. We'll cover the M sin I mass ambiguity, the challenge of stellar noise, and how co…
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We explore A000329, the tangent-iteration sequence defined by b(0) = 1 and the nearest integer to b(n), where b(n) = tan(b(n-1)). The interplay between the continuous, blow-up behavior of tan near odd multiples of π/2 and the discrete rounding step yields a surprisingly erratic sequence (with terms wandering through 1, 2, 75, -1, -1, -2 … and beyon…
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On-Device AI Unleashed: EmbeddingGemma and the Private, Fast Future
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Google DeepMind's EmbeddingGemma is a compact 308M-parameter text embedding model designed for mobile-first AI. With quantization-aware training it runs on-device in under 200 MB of RAM and exhibits sub-15 ms latency on supported hardware such as Edge TPU, enabling private offline retrieval-augmented generation and multilingual embeddings. We unpac…
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Skyhook: The Orbit-Sling That Could Change Spaceflight
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We unpack the skyhook—an orbiting momentum-exchange tether that could grab a payload at the edge of the atmosphere and fling it into orbit. Tracing ideas from Isaacs and Moravec to NASA tests (TSS-1R, YOES-2) and the Hastol study, we discuss how existing materials might suffice, the massive scale and engineering challenges, and the threat of atomic…
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Prince Rupert's Cube: A Tilted Passage Through Geometry
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Explore the famous geometric paradox: a cube through a hole in another cube, with a side length about 1.06066 times larger. We trace the tale from Prince Rupert's 1693 wager through Wallis and Newland, explain the tilted-square tunnel that makes it possible, and show how 3D printing makes the paradox tangible. We also touch on Rupert-type propertie…
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OEIS A000328: Circle problem — lattice points inside a circle
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We dive into A000328, the Gaussian circle problem: how many integer lattice points (x, y) lie inside or on a circle of radius n. Start with the main term a(n) ~ πn^2 and the elusive remainder r(n) = a(n) − πn^2. We trace the historical bounds — Hardy and Landau showed the lower limit Ω(n^{1/2}); over the decades mathematicians sharpened the upper b…
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