Remove Calculus Remove Flexibility Remove Mathematics Remove Primary
article thumbnail

How can smart contact lenses monitor and treat eye conditions?

Futurum

Therefore, wearable biomedical devices must have mechanical softness, flexibility, stretchability and breathability, without side effects such as discomfort, pain or tissue damage.”. This means the sensors can exist on flexible, stretchable, transparent or biodegradable substrates, including soft contact lenses.

article thumbnail

The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.

Computer 102
educators

Sign Up for our Newsletter

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

article thumbnail

How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 88
article thumbnail

Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

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
article thumbnail

Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

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
article thumbnail

The heart of the loop: Reattempts without penalty

Robert Talbert, Ph.D.

be the primary measure of success in a course, and some measure of grace and flexibility will be included along with high standards and "rigor" And for other instructors, this concept raises more questions than answers. For some instructors, it provides hope that student growth will (finally!)