Sarah's Bike Repairs

Served Comox Valley 1988-2016. International author of Cloud and The Miner books 1-7.

[Sarah's Bike Repairs @BikeRocketCom]

(Really sad)
‘Greed and opportunism’ highlight vulnerabilities in B.C. immigration case - https://t.co/Z3F1Ea8lLt

[Philosophy Of Physics @PhilosophyOfPhy]

In 1937, a 21-year-old MIT student sat in a quiet library, mapping abstract philosophical logic onto electrical circuits to pass the time.

By the time he finished his thesis, the young man had mathematically proven that mechanical telephone switches could perform complex calculations. Instead of just routing phone calls, they were destined to become thinking machines.

He had just discovered the mathematical trigger for digital computing.

But when he published his work, the leading engineers of the industrial world paid little attention, viewing his mathematics as a mere academic parlor trick.

His name was Claude Shannon.

It would take years for the industrial establishment to fully realize he was right and adopt the binary logic that now powers every computer, smartphone, and network on Earth.

His breakthrough against traditional engineering is the ultimate lesson in what happens when rigid practices clash with unexpected philosophical reality.
In the early 20th century, engineers believed they understood circuit design. They knew that as telephone networks grew, they needed more physical wires and relays. But traditional engineering offered no universal science; it was a manual process of brute-force trial and error.

The systems would grow into a chaotic, tangled mess of blueprints and copper lines.
The entire industrial establishment agreed: every circuit, no matter how complex, had to be wired by manual experimentation. It was a tedious, costly formula.

But in that library, Shannon realized the establishment had left a massive variable out of their equations: 19th-century symbolic philosophy.

Shannon recalculated the engineering, factoring in what happens when you treat an electrical switch using the laws of Boolean algebra.

What he found shattered the industrial consensus.

He proved that an electrical switch has only two possible states: it is either closed and letting power through, or open and blocking the current. This was mathematically identical to True (1) and False (0).

The circuit could evaluate logical statements. There was no limit to what it could compute. It could automate human thought, transforming physical electricity into digital logic.

When Shannon presented this concept, mainstream electrical engineers were skeptical. They couldn't accept that an abstract philosophical concept could solve real-world hardware bottlenecks.
Shannon was initially ignored. The establishment stuck to their traditional wiring methods.

Instead of fighting a rigid, closed system, Shannon quietly expanded his work into Information Theory, proving that all data could be compressed into a universal currency called the "bit." Decades later, when the global tech revolution exploded, the world realized the 21-year-old student had been right all along.

The philosophical blueprint Shannon left behind is a vital truth for navigating complex problems and institutional pushback:

Comforting traditions will always be more popular than disruptive innovations. Trust the system's underlying logic anyway.

Most of us approach our careers and projects seeking the validation of current experts or established guidelines. When we propose a radical new idea or try to change a broken system, and the authorities tell us we are wrong, our instinct is to assume our logic is flawed. We abandon our data to fit the consensus.

But Shannon’s legacy proves that traditional industry consensus is not the same thing as truth.
Gatekeepers are human; they protect their own methods, their own training, and their own comfort.

What is a bottleneck, a project, or a direction you’ve abandoned just because an expert or a boss told you it wouldn't work? What happens if you stop looking for their permission and trust the structural logic of your own work?

[Alex @ivandemigoal]

Alexander Zharovsky just arrived in Montreal 👀

AND HE BROUGHT HIS HOCKEY STICKS

📸: @MaximeTruman @DLCoulisses

[Sarah's Bike Repairs @BikeRocketCom]

@HFTVSports Probably Vancouver

[Sarah's Bike Repairs @BikeRocketCom]

@HabsDigest I think he should have played Gallagher in game 5 with Canes. He needs to be more open minded. I found the last three games with canes a little unbalanced. They needed a player like Gallagher to increase pace & to shoot more.

[Mathematica @mathemetica]

Here's a clean reference chart breaking down the core symbols used throughout calculus. It includes limits, epsilon, all the main derivatives (first, second, nth, and time-based like ẏ and ÿ), partial derivatives ∂f(x,y)/∂x, integrals from single ∫ to double ∬, triple ∭, and the closed versions ∮, ∯, ∰, plus i for the imaginary unit, complex conjugates z* and z̄, vectors x, unit vectors x̂, convolution x*y, Laplace transform ℒ, Fourier transform ℱ, and the delta function δ.

These notations are the precise language for describing rates of change, accumulation, and transformations; whether you're modeling velocity and acceleration in physics, optimizing functions in engineering, or processing signals and data in machine learning and beyond.

[The Math Flow @TheMathFlow]

The Hidden Geometry of Trigonometric Functions and the Unit Circle.

[Sarah's Bike Repairs @BikeRocketCom]

https://t.co/t530NQ7fOw

[Sarah's Bike Repairs @BikeRocketCom]

May 26th 2026
https://t.co/IJwQ1lVeLb

[Python Developer @PythonDvz]

Data Analyst Roadmap

[Sarah's Bike Repairs @BikeRocketCom]

@mysticl For the latest detailed maps of the affected waters or to check when harvesting can legally resume, you can refer to the Fisheries and Oceans Canada Fishery Notices or check the Comox Valley Regional District Sewer Leak Incident Page for continuous updates.

[Sarah's Bike Repairs @BikeRocketCom]

@mysticl Testing & Reopening: Without verification sampling, closures must stay in place for at least 21 days. For official notices and up-to-date maps of safe zones, consult the Fisheries and Oceans Canada or view the BC Centre for Disease Control.

[Sarah's Bike Repairs @BikeRocketCom]

https://t.co/6xronf85mc

[MIT CSAIL @MIT_CSAIL]

9 distance measures in data science w/algorithms (v/@MaartenGr).

[Sarah's Bike Repairs @BikeRocketCom]

https://t.co/egvbJprouV

[The Math Flow @TheMathFlow]

The Anatomy of the Taylor Series Expansion of a Function around a point.

[Sarah's Bike Repairs @BikeRocketCom]

https://t.co/RhsDTOpNa1

[Sarah's Bike Repairs @BikeRocketCom]

https://t.co/BZMP4hdlFr

[Sarah's Bike Repairs @BikeRocketCom]

@HABSFANDIT I personally think they all seem llike that. And they should have given Gally a chance at the beginning in game 5. He could have made a difference.

[Sarah's Bike Repairs @BikeRocketCom]

@CanadiensMTL It is too bad they had to be so rigid in the last two games. It was obvious that they were not shooting enough to win. Gallagher could have made a diff. if given a chance, IMO. They needed aggressive shooting at that point, IMO. I also wonder what if Gallagher had been French?

[Yoko Ono @yokoono]

Yoko Ono Joins the Roster for Mérida’s First International Art Biennial
https://t.co/8zbO5TlvZ3