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  • June 24, 2025
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How to build your prototypes without a 35% tariff

Ryan and Ben welcome Alex Malcoci, CEO and founder of MiniProto, to talk innovations in hardware prototyping, the evolving complexities of the global supply chain, the impact of the US-China trade war on manufacturing, and how automation in production could lead to new training programs for future engineers.

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  • June 23, 2025
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Uniformity increases entropy

Suppose you have a system with n possible states. The entropy of the system is maximized when all states are equally likely to occur. The entropy is minimized when one outcome is certain to occur. You can say more. Starting from any set of probabilities, as you move in the direction

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  • June 23, 2025
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Chris’ Corner: Modern CSS Features Coming Together

I like the term “content aware components” like Eric Bailey uses in the Piccalilli article Making content-aware components using CSS :has(), grid, and quantity queries. Does a card have a photo? Yes, do one thing, no, do another. That sort of thing. Eric has some good examples where a UI

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  • June 23, 2025
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Sinc function approximation

The sinc function sinc(x) = sin(x) / x comes up continually in signal processing. If x is moderately small, the approximation sinc(x) ≈ (2 + cos(x))/3 is remarkably good, with an error on the order of x4/180. This could be useful in situations where you’re working with the sinc function and the x

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  • June 22, 2025
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Arithmetic for fun and profit

Four years ago I wrote a blog post about simple solutions to client problems. The post opens by recounting a conversation with a friend that ended with my friend saying “So, basically you’re recommending division.” That conversation came back to me recently when I had a similar conversation during a

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  • June 22, 2025
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Red Flags in Social Media: How Developers Can Benefit From Online Behavior Analysis

Learn how developers can use Socialprofiler to analyze potential partners, investors, and collaborators before making critical business decisions. Continue reading Red Flags in Social Media: How Developers Can Benefit From Online Behavior Analysis on SitePoint.

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  • June 22, 2025
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Cost Effective Reseller Platforms for Buying SSL Certificates

Explore SSL certificate reselling: market growth, common challenges, auto-validation methods, and centralized lifecycle management. Continue reading Cost Effective Reseller Platforms for Buying SSL Certificates on SitePoint.

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  • June 22, 2025
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Why use hash puzzles for proof-of-work?

A couple days ago I wrote about the the problem that Bitcoin requires to be solved as proof-of-work. In a nutshell, you need to tweak a block of transactions until the SHA256 double hash of its header is below a target value [1]. Not all cryptocurrencies use proof of work,

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  • June 21, 2025
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Minimize squared relative error

Suppose you have a list of positive data points y1, y2, …, yn and you wanted to find a value α that minimizes the squared distances to each of the y‘s. Then the solution is to take α to be the mean of the y‘s: This result is well known

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  • June 20, 2025
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What is the Bitcoin proof-of-work problem?

In order to prevent fraud, anyone wanting to add a block to the Bitcoin blockchain must prove that they’ve put in a certain amount of computational work. This post will focus on what problem must be solved in order produce proof of work. You’ll see the proof of work function

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