Robert Talbert, Ph.D.

FEBRUARY 11, 2022

Here's the one from Winter 2021 for calculus and here's the one for modern algebra. This semester I taught two sections of Discrete Structures for Computer Science 1, an entry-level course for Computer Science majors on the mathematical foundations of computing.

Mathematics 52

Mathematics Algebra Communications Computer Science 52

Futurum

NOVEMBER 3, 2022

Kristin’s research spans a wide range of applications and theoretical domains, but the one thing they all have in common is temporal logic – that is, an unambiguous, mathematically precise way of describing and reasoning about systems that change over time. FASCINATING FORMAL METHODS. ABOUT TEMPORAL LOGIC.

Aerospace 98

Aerospace Mathematics Computer Science Research 98

National Science Foundation

FEBRUARY 6, 2024

The biases are notably stark if schools are divided out by minority enrollment, as public middle and high schools with more than 50 percent White students have only 2 percent of mathematics teachers and 1 percent of science teachers that are Black ( National Center for Science & Engineering Statistics ).

Education 52

Education Education Mathematics Computer Science 52

ED Surge

APRIL 23, 2024

years of my career at Weehawken High School, where I taught Algebra I (students in grades seven to nine) and AP Calculus (grades 11-12). I hope in a similar manner, my impact extends beyond [sharpening] mathematical understanding to [supporting students in] how to be productive, kind, discerning humans in our world. For the past 1.5

Teaching 266

Teaching Algebra Schooling Math 266

Robert Talbert, Ph.D.

FEBRUARY 10, 2023

As I teach my Linear Algebra and Differential Equations class this semester, which uses more computing than ever, I'm thinking even more about these topics. Yesterday I got an email from a reader who had read this post called What should math majors know about computing? Mostly this is because of two things.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 120

Mathematics Physics Computer Algebra 120

PCS Edventures

MARCH 4, 2020

Whether you agree with the theory that mathematics exists for humans to discover or that it is a man-made tool, numeric systems designed to measure the world around us serve as the foundation for scientific and technological advancement. Calculus , which calculates rates of change and infinites. What is Math?

Mathematics 52

Mathematics Energy Architecture Math 52

Stephen Wolfram

FEBRUARY 3, 2023

Computational Foundations for the Second Law of Thermodynamics 2. But back in the 1980s, as I began to explore the computational universe of simple programs, I discovered a fundamental phenomenon that was immediately reminiscent of the Second Law. The key is to think in computational terms. How Did We Get Here?

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

SEPTEMBER 23, 2021

And at first I did so in the main scientific paradigm I knew : models based on mathematics and mathematical equations. But in a quirk of history that I now realize had tremendous significance, I had just spent a couple of years creating a big computer system that was ultimately a direct forerunner of our modern Wolfram Language.

Computer 55

Computer Mathematics Science Sciences 55

Futurum

JUNE 28, 2022

ALGORITHM – a sequence of well-defined rules that allows computers to make calculations and solve problems. MACHINE LEARNING – a type of artificial intelligence in which computers learn from past data in order to predict outcomes more accurately. … which they must then implement in computer code. © Aaron John Balana.

Artificial Intelligence 88

Artificial Intelligence Learning Computer Science Computer 88

Stephen Wolfram

FEBRUARY 14, 2023

See also: “Wolfram|Alpha as the Way to Bring Computational Knowledge Superpowers to ChatGPT” » It’s Just Adding One Word at a Time That ChatGPT can automatically generate something that reads even superficially like human-written text is remarkable, and unexpected. But how does it do it? And why does it work?

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

NOVEMBER 10, 2021

Think of it as the entangled limit of everything that is computationally possible: the result of following all possible computational rules in all possible ways. And it’s one that I think has extremely deep implications—both in science and beyond. (And—it The full ruliad is in effect a representation of all possible computations.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

AUGUST 22, 2023

And there was one way in which Ed and I were very much aligned: both of our lives were deeply influenced by computers and computing. Ed had started with computers in 1956—as part of one of the very first cohorts of programmers. Finally I felt as if there might be a plausible computational foundation for fundamental physics.

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

SEPTEMBER 29, 2023

But some of it has immediate practical implications, notably for parallel, distributed, nondeterministic and quantum-style computing. The key point is that a given event cannot happen unless all the inputs to it are available, i.e. have already been computed. Some of what this will lead us to is deeply abstract.

Physics 108

Physics Computer Argumentation Construction 108

Stephen Wolfram

JUNE 8, 2022

In an ordinary computational system each state of the system has a unique successor, and ultimately there is a single thread of time that defines a process of computation. For each size of board n , we can compute the total number of winning states for any given player, as well as the total number of states altogether.

Physics 71

Physics Computer Construction Equality 71

Computing Education Research Blog

NOVEMBER 26, 2021

My activities in computing education these days are organized around two main projects: Defining computing education for undergraduates in the University of Michigan’s College of Literature, Science, and Arts (see earlier blog post referencing this effort ); Participatory design of Teaspoon languages (mentioned most recently in this blog post ).

Computer Science 140

Computer Science Computer Science Sciences 140