Abel Stolz

A family man, Abel Stolz also makes every effort to maintain close ties with his friends and is involved in Rugby, Wrestling and Church.

[Abel Stolz @AbelStolz]

@wilkinsoncape @CommonSense_ZA Agree Richard. I also believe the algorithm plays an important role to decentralize monopolies on the naritive. The algorithm will eventually lead to more decentralized information sources.

[Abel Stolz @AbelStolz]

There was a gang wars between rival Zama's Zama's near the N4 in Schoemanskloof.

[Abel Stolz @AbelStolz]

@JHBWater please look into the matter of leaking water pipe just before London Road off Ramp on the N3 South bound just across Alexandria.

At the old dump site.

[Abel Stolz @AbelStolz]

@ConCaracal Liberalism is the gateway drug to Marxism.

[Allen Braden @allen_explains]

A professor at MIT spent his life studying uncertainty.

Near the end, he compressed everything into a single one-hour lecture.

No buzzwords. No heavy theory.
Just a clear explanation of how prediction really works.

Not long after, he was gone.

This is that talk.

The idea at its core is simple but powerful:
prediction isn’t about being certain
it’s about understanding probabilities

Most people will scroll past it.

A few will see it and start thinking differently.

Save it.

[Abel Stolz @AbelStolz]

@ScholarshipfPhd Two thirds of Phd students are single 💔 forever alone.

[Abel Stolz @AbelStolz]

@RpsAgainstTrump Real hero 🥹

[Abel Stolz @AbelStolz]

@kalliekriel Roelf is framed as a liberal but he has socialist tendencies.

[Abel Stolz @AbelStolz]

@ScholarshipfPhd So basically you have two thirds chance of being single for a Phd.

[Abel Stolz @AbelStolz]

@Neccccy Betrayal of the west

[Abel Stolz @AbelStolz]

@ConCaracal Veels geluk julle 🤗🥹

So bly vir julle.

[Abel Stolz @AbelStolz]

@pietleroux Aan Piet en jou kollegas baie dankie vir die werk wat julle doen.

Duisende Dankies. 🙌🤝

Hou aan veg ✊

[Abel Stolz @AbelStolz]

@DailyInvestorSA @Nuuspod Prisons became a university for criminals and not a place for rehabilitation. This is a disaster. 😤

[JavaScript FAN @javascript_fan]

The Laplace Transform is a powerful mathematical tool used to transform functions from the time domain into the complex frequency domain. It is widely applied in engineering, physics, and differential equations.

The concept is named after the French mathematician Pierre-Simon Laplace (1749–1827), who introduced and developed this transformation in the late 18th and early 19th centuries. Laplace used this method as part of his broader work in probability theory and celestial mechanics.

The Laplace Transform is defined as an integral that converts a time-dependent function f(t)f(t)f(t) into a function F(s)F(s)F(s), where sss is a complex number. This transformation simplifies many mathematical problems, especially linear differential equations, by turning them into algebraic equations that are easier to solve.
Although Laplace formalized the method, similar ideas had been explored earlier by mathematicians like Leonhard Euler. However, Laplace was the one who systematically applied it and demonstrated its usefulness in physics and engineering.
In the 19th and 20th centuries, the Laplace Transform became a standard tool in solving problems related to electrical circuits, control systems, and signal processing. Engineers use it to analyze system behavior, especially in systems involving inputs and outputs over time.

[Math Files @Math_files]

257 years ago, Joseph Fourier was born on this day.

In 1822, Fourier showed that any wave can be broken down into an infinite sum of sine waves, using a technique now called the Fourier transform.

The Fourier transform is like a recipe generator. You input a complicated wave and you get back its ingredients, the amplitude and frequency of each component sine wave.

Fourier analysis is an essential part of modern technology. Its applications range from JPEG compression and image recognition to quantum physics and MRI's.

Fourier theory has two components: basic building blocks and labels. Imagine a child's toy castle. This castle can be disassembled into individual building blocks. And these building blocks can then be sorted by color into bins and labeled.

Similarly, the Fourier transform disassembles a complex wave into individual sine waves. These are like the building blocks.

Each sine wave can be labeled with its frequency, or how quickly it oscillates per second. The labels on the bins are more than just a way to organize things.

They can be used to rebuild the original complex wave and as an efficient shorthand for communicating information.

For example, when you send a voice message, your phone doesn't transmit an entire complex sound wave. Instead, it breaks it down and sends just the labels or frequencies of the component sine waves.

The receiver's phone then reverses this process, converting the labels back into the contents of the bins to reconstruct the message’s original sound wave.

[Abel Stolz @AbelStolz]

@ScholarshipfPhd Rejected 😤

[Mustafa. @oprydai]

the Laplace Transform converts problems in time into problems in algebra.

instead of working with a function f(t), you transform it into F(s).

time domain → complex frequency domain.

why this matters:

differential equations are hard.
algebraic equations are easier.

the transform turns derivatives into multiplication:

d/dt → s

a complex dynamic system becomes a simpler equation.

solve it in the s-domain.
then bring it back using the inverse transform.

this is why it is everywhere:

• control systems
• circuit analysis
• signal processing
• mechanical vibrations
• system dynamics

it also reveals structure:

poles and zeros determine behavior.
stability becomes visible in the s-plane.

the laplace transform is not just a trick.

it is a change of perspective that turns time-based behavior into a form you can directly manipulate.

[Abel Stolz @AbelStolz]

@TheBabylonBee The same party who wanted a Vaccine card during COVID-19 to work and resisted an ID card for voting.

[Abel Stolz @AbelStolz]

@celenkosini10 Congratulations 🤝