Futurum

SEPTEMBER 12, 2023

At the University of Pittsburgh at Greensburg in the US, biologists Barbara Barnhart and Dr Olivia Long are using their Science Seminar programme to ease this transition for first year students studying biology, chemistry and biochemistry degrees. What do students learn from studying this?

Biology 81

Biology STEM Critical Thinking Chemistry 81

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. And that’s for example why things like mathematical formulas have been able to be as successful in science as they have. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be.

Science 122

Science Sciences Computer Mathematics 122

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

Since the standard Wolfram Language evaluator evaluates arguments first (“leftmost-innermost evaluation”), it therefore won’t terminate in this case—even though there are branches in the multiway evaluation (corresponding to “outermost evaluation”) that do terminate. If you set , then you set , you should get (not ) if you asked for.

Physics 108

Physics Computer Argumentation Construction 108

Stephen Wolfram

AUGUST 22, 2023

In 2015 Ed told me a nice story about his time at Caltech: In 1952–53, I was a student in Linus Pauling’s class where he lectured Freshman Chemistry at Caltech. It explains that III has four divisions: Mathematical and Programming Services, Behavioral Science, Operations, and “New York”. It was all algebra.

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

JANUARY 9, 2024

The function Map takes a function f and “maps it” over a list: Comap does the “mathematically co-” version of this, taking a list of functions and “comapping” them onto a single argument: Why is this useful? You need to be able to easily define mathematically complicated boundary conditions. are Comap and ComapApply.

Computer 102

Computer Calculus Construction Accessibility 102