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Wolfram
@WolframResearch
Where computation meets knowledge. Creators of Mathematica,
@Wolfram_Alpha
, Wolfram Language. Founded in 1987 by
@stephen_wolfram
.
wolfram.comJoined March 2009
358 Following
62.7K Followers

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Wolfram
@WolframResearch
Did you know Brachistochrone, the shortest time to slide on a curve, kicked off calculus of variations in the 17th century? Learn more about the history of this classic physics problem and explore its solution using Wolfram Language and Wolfram MathWorld: wolfr.am/1cp65ZuNn
Image credit: https://community.wolfram.com/groups/-/m/t/2859015 Graph where x-axis ranges from 0 to 1.0, y-axis ranges from -1 to 0.25. Lines on graph are blue (sqrt(x)), yellow(x), red(x^2), green(sin((pi)x/2))), purple(sqrt(1-(x-1)), light blue(1/8(63x^5)-70x^3+15x), periwinkle(x+(1/10)sin(10πx)), and dark orange (sqrt(2/π)sin(x)/sqrt(x)) representing different formulas. Time begins at 0 at increases to 1.1, in which black dots on the curves correspond to the amount it takes to reach the bottom of the curve.
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Wolfram
@WolframResearch
Interested in Quantum Computation but not sure where to start? Check out our playlist from the daily study group on Wolfram Quantum Computation Framework! Learn how it works, how to implement different quantum algorithms, and more: wolfr.am/1dvxJApHQ
Tensor network representation of a gate-based quantum circuit with a navy blue background.
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Wolfram
@WolframResearch
"Exciting news! ChatGPT now has a Wolfram plugin! Access Wolfram|Alpha and Wolfram Language to enhance your conversations and expand your knowledge like never before. #Wolfram #ChatGPT #AI" -[Written by ChatGPT]
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OpenAI
@OpenAI
We are adding support for plugins to ChatGPT — extensions which integrate it with third-party services or allow it to access up-to-date information. We’re starting small to study real-world use, impact, and safety and alignment challenges: openai.com/blog/chatgpt-p
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Wolfram
@WolframResearch
Accurate computations for unit conversions are just one feature of the new Wolfram plugin for ChatGPT! See it in action below and check out Stephen Wolfram's piece "ChatGPT Gets Its “Wolfram Superpowers”!" for more ideas on how the plugin can be used: wolfr.am/1ceeVpNou
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Wolfram
@WolframResearch
This colossal 13-ton bridge, an epic rolling square, won the prestigious Bridges Design Award 2023! Meet mathematician Stan Wagon, the mastermind behind the rolling square as he dives into the math that made it possible. wolfr.am/1dQBajgPW
Gif of rolling square bridge, showing that it can be hand cranked to move. Three figures, seemingly made out of clay, are present. One crosses the bridge, another cranks the bridge, and another is waiting to cross the bridge. After the first figure crosses the bridge, the second figure cranks the bridge. Once the bridge is cranked, a fourth figure passes under the bridge on a ship. While this is happening, the third figure is waiting to cross the bridge.
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Wolfram
@WolframResearch
Matrices with ChatGPT and the Wolfram Plugin! Watch as ChatGPT uses the Wolfram plugin to create a 3x3 matrix with increasing prime values in its rows and then compute the inverse of the created matrix:
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Wolfram
@WolframResearch
Check out this cool animation made in #Mathematica that shows the spatial probability density of finding an electron in a hydrogen atom!
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Ben Bartlett
@bencbartlett
Hydrogen wavefunctions transitioning between states with different quantum numbers 𝒏,𝒍,𝒎. ⚛️ Each transition shows a state α|𝒏𝒍𝒎⟩+β|𝒏'𝒍'𝒎'⟩, where α decreases and β increases. Dots represent the values of 𝒏𝒍𝒎, and the solid lines show possible allowed values.
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Wolfram
@WolframResearch
Stephen Wolfram's new book "What Is ChatGPT Doing ... and Why Does it Work?" is now available! In this short piece, Stephen delves into the technology behind ChatGPT and provides an explanation of what is happening behind the scenes in its' "AI mind": wolfr.am/1bT6CpqoF
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Wolfram
@WolframResearch
100 math problems from resources such as Mathematics Magazine, National Mathematics Olympiads, and more were solved using ChatGPT with the Wolfram Plugin! Look over the solutions and get insight into computation using the Wolfram Plugin for ChatGPT. wolfr.am/1e7yOHl9Y
Red Wolfram logo in foreground. Background is orange and has various icons and symbols.
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Wolfram
@WolframResearch
Interested in the Wolfram plugin for ChatGPT? Check out this example from the development team of asking ChatGPT to tell us more about Chicago!
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Wolfram
@WolframResearch
How did the mathematical formulation of the second law lead to introducing the concept of entropy? Learn about this work of Rudolf Clausius from Stephen Wolfram's piece about the history of the second law of thermodynamics: wolfr.am/1chiLtHk2
The image consists of two pieces from an old scientific article in the English language. The first piece highlights the statement - "The algebraic sum of all the transformations occurring in a circular process can only be positive, or, as an extreme case, equal to nothing.". There are two equations in bold. The first equation is the integration of the quantity "dQ/T" equal to zero for the reversible circular process. The second equation is the integration of "dQ/T" greater than or equal to zero for every circular process. The second piece highlights two points: "1. The energy of the universe is constant", and "2. The entropy of the universe tends to a maximum".
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Wolfram
@WolframResearch
Happy World Quantum Day! What better way to celebrate this day than by immersing yourself in this article on quantum computing? Presenting, an innovative readout scheme for superconducting qubits that impressively improves qubit-state assignment fidelity: wolfr.am/1cFN6Y5Dy
The image has two plots labeled "a" and "b". Plot "a" is "Primary Tone Readout Response" with y-axis label "In-phase (arb. unit)" and x-axis label "Quadrature (arb. unit)". Plot "a" has many scattered points in red with the highest density of points centered around 0 and they are labeled as "|0>". There is another set of scattered points in blue with the highest density of points centered around -3 and they are labeled as "|0>bar". The red set of points is above the blue set, separated by a crooked line. Plot "b" is "Two-state F_a =99.5%, Ideal F_{id}=99.95%" with the vertical axis label "Probability" and horizontal axis label "Integrated Signal (sigma)". The plot has four different color points: red for "P(0|0)=99.9%", blue for "P(0bar|0bar)=99.1%", green for "P(0|0bar)=0.92%" and yellow for "P(0bar|0)=0.09%". The red and blue points are fitted to an inverted parabola-shaped curve with peaks around 0.01. The green points are also fitted to a parabolic curve with a peak around 0.0001.
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Wolfram
@WolframResearch
Curious about the history of science, the future of civilization, or ethics in AI? Drawing on nearly four decades of experience in pioneering discoveries, inventions,and innovations, Stephen Wolfram covers these topics and more in his weekly podcast series:wolfr.am/1ceGpnP9T
Image of Stephen Wolfram wearing blue button down shirt and leaning against a desk. In the background, a bookshelf and the back of a computer can be seen.
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Wolfram
@WolframResearch
Interested in brushing up your math skills? Linear algebra is probably the easiest & most useful branch of modern mathematics, according to Denvendra Kapadia. Read more about our free interactive course on the subject and its vast applications, here: wolfr.am/ONzdTTBr
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Wolfram
@WolframResearch
Congratulations to Steve Christensen, Mathematica user since Version 0.9, founder of MathGroup, developer of MathTensor, & Mathematica Community organizer for 33 years, for being elected a Fellow of the
@APSphysics
for his work on quantum field theory in curved spacetime.
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Wolfram
@WolframResearch
Ever wondered about communication with extraterrestrial life forms? Discover how the fusion of science fiction and advanced computational abilities from Wolfram technologies can construct alien sentences in this thought-provoking article: wolfr.am/1cBje3TQp
A contour graph representation of "hand-writing paper" that helps to align the alien logograms. In this particular sentence, Earth occupies a central position, and is surrounded by "time" repeated on 8 locations. While the symbols for "human", "humanity", "solve", "solve on you now", "use marker write", "there is no linear time" occupy the remaining six locations on the dual lattice.
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Wolfram
@WolframResearch
Now through August 15, we're offering free access to Wolfram Technologies to support remote work, COVID-19–related research and online learning. Email our Director of Strategic Initiatives cliff_hastings@wolfram.com to request access!
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Wolfram
@WolframResearch
Check out this great article written by
@tvanderark
& published by
@Forbes
about
@ConradWolfram
and his ideas for reshaping math education! wolfr.am/NHw1b6wN Learn more about his innovative approach in his new book, "The Math(s) Fix: An Education Blueprint for the AI Age."
forbes.com
Stop Calculating And Start Teaching Computational Thinking
Tom discusses the work of Conrad Wolfram, Strategy Director at Wolfram Research, and outlines why a shift from calculation to computational thinking is important for today's learners.
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Wolfram
@WolframResearch
An ancient art form gets a 21st century twist in Tetsuo Ida's new book, "An Introduction to Computational Origami"! Learn more about the book, written for students and researchers interested in the computational, geometric, & artistic aspects of origami: wolfr.am/VkquiqCA
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Wolfram
@WolframResearch
Implement interactive and non-interactive zero-knowledge proof protocols based on current Wolfram's cryptography framework with the ZeroKnowledgeProofs paclet! Discover how implementation can be done with only a few lines of Wolfram Language code: wolfr.am/1cp6qr8Qi
Network diagram of zero-knowledge private problems and solutions with queries written in Wolfram Language beside it. The queries are "ZeroKnowledgePrivateSolution [Type: HamiltonianCycle , Private Solution Size: 30, Public Problem Size: (30,150)] ZeroKnowledgePublicProblem [Type: HamiltonianCycle , Public Problem Size: (30,150)] ZeroKnowledgePrivateCipher [Type: HamiltonianCycle , Number of Rounds:5] ZeroKnowledgePrivatePublicWitness [Type: HamiltonianCycle , Number of Rounds:5] ZeroKnowledgeQuery [Type: HamiltonianCycle , Number of Rounds:5] ZeroKnowledgeResponse [Type: HamiltonianCycle , Number of Rounds:5]"
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@WolframResearch
Compute hundreds of properties of food ingredients from water content to yeast type in GPT-3 generated recipes! Perform computations to find food properties, create recipe knowledge graphs, and more by using the Wolfram Language OpenAILink paclet: wolfr.am/1bWrCKKiI
Generated image of a robotic wolf, followed by multiple images of different condiments and foods such as mayo, olive oil, cheese, and sliced peppers. A chart of the calorie content of each of the foods and a diagram of how the food relate to each other appear underneath.
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Wolfram
@WolframResearch
Discover ergodicity and global behavior of equilibrium computationally in cellular automata as the system degrades to randomness from Stephen Wolfram's piece about the computational foundations for the second law of thermodynamics: wolfr.am/1cp5KCws7
The image consists of two state transition graphs. The left graph shows a transition between states of size 4. The big cycle consists of eight different states. Four other initial states are at the four corners and merge into the big cycle after the first transition. Two states make a transition among themselves in a loop. Another state after the first transition undergoes into loop transition. The right graph shows a transition between states of size 8. There is one big cycle with states represented as points. There are eight branches connected to the big cycle. There is another small tree graph with four branches. One two-state transition and two one-state transition graphs are also present.
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Wolfram
@WolframResearch
Explore the elegant geometry of molecular backbones, amide planes, and more with the Wolfram ProteinVisualization paclet! Discover how this paclet offers an immersive experience for visualizing the intricate structures of biomolecules. wolfr.am/1eaMKlXgq
Image showing various visualizations that can be done with the paclet. Structure of protein structure using by color coding atoms by chains using the “BackboneColorRules” Option in the middle. Also show visualization of backbone atoms, graph visualizing Ramachandran plot, visualization of amide planes, protein contact map and graph, and visualization of dihedral angles and relevant planes. The bottom of the image has a key that shows which colors correspond to which amino acids.
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@WolframResearch
Design a quantum circuit for any desired quantum state, using built-in functionalities of Wolfram Quantum Framework. Send queries to Quantum Processing Units and analyze results, all from a Wolfram notebook! wolfr.am/1djbNPG67
The image shows a quantum circuit. Below is a bar chart summarising and comparing probabilities of the 8 states obtained using the Wolfram Quantum Framework (in violet) and QPU (in red) for the Pauli-X basis.
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Wolfram
@WolframResearch
Transform the way you do business with #ChatGPT! With its ability to generate text on any topic and our team's expertise, the sky's the limit. From internal processes to customer-facing solutions, let's explore the endless possibilities. Learn more: wolfr.am/1biELhH9t
A flow chart with ChatGPT, represented by a graph of a neural net, and Wolfram|Alpha, represented by a spikey, in the center. Between ChatGPT and Wolfram|Alpha are two arrows, one from Wolfram|Alpha to ChatGPT labeled "facts" and one from ChatGPT to Wolfram|Alpha labeled "query". On the bottom right, a line of multiple arrows labeled "real time data" and a collection of boxes labeled "enterprise data" point towards Wolfram|Alpha. On the upper left, a circle with the shadow of a person's head is labeled "user input" and has an arrow pointing from it to ChatGPT labeled "questions". Another arrow points from ChatGPT to User Input labeled "answers".
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Wolfram
@WolframResearch
Learn all about probability with our free interactive course: Introduction to Probability. Learn probability intuitively, from simple to advanced concepts and earn a course completion certificate from Wolfram U! wolfr.am/1dQRH5Iwp
Image reads in white text "Wolfram U, Introduction to Probability" on blue background with semi transparent images of a pair of dice and a bar graph.
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@WolframResearch
Explore Wolfram MathWorld, the ultimate math encyclopedia! Enhance your understanding, research, and reference needs with our comprehensive and regularly updated animated examples and detailed explanations. Try it firsthand and see what you discover: wolfr.am/1e0bkadOP
A plot of the cells on a grid satisfying bitwise for consecutive values of , 2, .... It is thought that it was discovered by Jackson Wright on the RLE PDP-1 around 1962 (Beeler et al. 1972). The plot shows the results in animated form for to 15 on a grid running from 0 to 15.
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@WolframResearch
Design accurate simulations with Wolfram FEM! Create multi-material geometric models using Boolean operations or implicit descriptions, or reconstruct them from point data, images, geographic maps & more. Learn about Geometric Modeling using Wolfram FEM: wolfr.am/1e8SxvMFk
A helical bevel gear created with the usage of the OpenCascadeLink. The shape and the procedure of the creation are based on a computer aided design (CAD) tutorial.
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Wolfram
@WolframResearch
With the Wolfram Finite Element Method, you can model heat and mass transport, fluid dynamics, solid mechanics, and more! Harness the power of the CAD engine to create stunning visualizations and liberate your models from subpar post-processing. wolfr.am/1dwUIIOtw
Visualization of crankshaft on orange background which reads "DiscreteGraphics[]" and "NDSolve[pde,...,{x,y,z} ." The crankshaft is visualized in the colors yellow, white, and blue and is semi-transparent in some areas.
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Wolfram
@WolframResearch
2022 marks the 20th anniversary of a New Kind of Science and the release of our limited edition box sets; to celebrate we're giving away the 20th hand-signed copy! To enter, follow this account and RT this with your favorite thing (quote, photo, CA) from NKS before Nov 14th.
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