Published on: 2025-06-29 23:35:21
This is a post about multiplying polynomials, convolution sums and the connection between them. Multiplying polynomials Suppose we want to multiply one polynomial by another: \[(3x^3+x^2+2x+1)\cdot(2x^2+6)\] This is basic middle-school math - we start by cross-multiplying: \[6x^5+2x^4+4x^3+2x^2+18x^3+6x^2+12x+6\] And then collect all the terms together by adding up the coefficients: \[6x^5+2x^4+22x^3+8x^2+12x+6\] Let's look at a slightly different way to achieve the same result. Instead
Keywords: coefficient coefficients polynomial polynomials second
Find related items on AmazonPublished on: 2025-07-02 07:00:00
Training is just the start of a model’s life cycle. As models have become bigger, they have become more expensive to run. So-called reasoning models that work through a query step by step before producing a response are especially power-hungry because they compute a series of intermediate subresponses for each response. The price tag of these new capabilities is eye-watering: OpenAI’s o3 reasoning model has been estimated to cost up to $30,000 per task to run. But this technology is only a few
Keywords: efficient model models parallel says
Find related items on AmazonPublished on: 2025-07-03 06:48:57
Spaced repetition memory system A spaced-repetition memory system combines the Testing effect and the Spacing effect to enable efficient memorization of many thousands of facts (Spaced repetition memory systems are extremely efficient). Some people also use them for a broader set of tasks (see below). Spaced repetition memory systems make memory a choice, but they’re not just for rote facts: Spaced repetition memory systems can be used to develop conceptual understanding. The first consumer sy
Keywords: efficient memory repetition spaced systems
Find related items on AmazonPublished on: 2025-07-04 12:48:57
Spaced repetition memory system A spaced-repetition memory system combines the Testing effect and the Spacing effect to enable efficient memorization of many thousands of facts (Spaced repetition memory systems are extremely efficient). Some people also use them for a broader set of tasks (see below). Spaced repetition memory systems make memory a choice, but they’re not just for rote facts: Spaced repetition memory systems can be used to develop conceptual understanding. The first consumer sy
Keywords: efficient memory repetition spaced systems
Find related items on AmazonPublished on: 2025-07-08 12:00:34
Robert Triggs / Android Authority Smartphone battery life has too often felt like a game of cat and mouse. Whenever battery capacity makes a meaningful jump, brighter screens, faster processors, and gargantuan camera arrays come along to set our dreams of multi-day battery life back to square one. But as 2025 ticks on, that narrative is finally starting to shift. Thanks to breakthroughs in battery chemistry, display technology, chip efficiency, and even networking hardware, the industry is qui
Keywords: battery efficient life samsung time
Find related items on AmazonPublished on: 2025-08-11 12:33:00
As energy bills climb, tax incentives become more generous and environmental concerns grow, more homeowners are turning to solar power. Spring brings longer days and more sunshine, so you might want to harness this increased solar potential. A recent CNET survey found that 78% of US adults are concerned about rising energy costs. If you're considering solar panels for your home, you might be wondering which solar panels have the best efficiency ratings. Our CNET experts have found the market's t
Keywords: efficiency efficient panel panels solar
Find related items on AmazonPublished on: 2025-09-20 03:29:58
Patterns and Techniques for Writing High-Performance Applications with Go¶ The Go App Optimization Series is a collection of technical articles aimed at helping developers write faster, more efficient Go applications. Whether you're building high-throughput APIs, microservices, or distributed systems, this series offers practical patterns, real-world use cases, and low-level performance insights to guide your optimization efforts. While Go doesn’t expose as many knobs for performance tuning as
Keywords: efficient high networking patterns performance
Find related items on AmazonPublished on: 2025-10-03 22:59:46
Technology giants Amazon , IBM , Google , Intel and Microsoft are all working on quantum technology, as are various other companies like Rigetti , IonQ , Quantum Computing Inc. and D-Wave Quantum Inc . The latest entrant into the space is Nvidia , with CEO Jensen Huang announcing in March that the company will build a quantum computing research center in Boston. "The surge in excitement now is driven by a convergence of technological advancements, funding and clearer pathways to real world app
Keywords: classical computers computing efficient quantum
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