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#induction

1 post1 participant0 posts today
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Paysages Mathématiques

"[Mathematical induction] is a tool that allows us to move from the finite to the infinite. This tool is always useful because it allows us to skip as many steps as we want, sparing us long, tedious, and monotonous verifications that would quickly become impractical. However, it becomes indispensable as soon as we aim at the general theorem, whose analytical verification would bring us closer and closer [...]" – Henri Poincaré (1854-1912)
#quote #mathematics #math #maths #induction

Photographic portrait of Henri Poincaré, and a quote : "[Mathematical induction] is a tool that allows us to move from the finite to the infinite. This tool is always useful because it allows us to skip as many steps as we want, sparing us long, tedious, and monotonous verifications that would quickly become impractical. However, it becomes indispensable as soon as we aim at the general theorem, whose analytical verification would bring us closer and closer without ever allowing us to reach it."
Public
😀🚲

The 11yo is now regularly cooking their own pasta with the #induction hob, and wow is that a lot less for a parent to worry about than the hot electric stovetop or an open gas flame (it's still scalding hot water though, make sure they know how to manage it.) There is even a timer setting so it just turns off if you forget. Also, I highly recommend raising a self-feeding child 😌

Public
🐜🦅

My long-in-preparation Cambridge Element ‘Probability and Inductive Logic’ is now available.

doi.org/10.1017/9781009210171

Abstract: Reasoning from inconclusive evidence, or 'induction', is central to science and any applications we make of it. For that reason alone it demands the attention of philosophers of science. This element explores the prospects of using probability theory to provide an inductive logic: a framework for representing evidential support. Constraints on the ideal evaluation of hypotheses suggest that the overall standing of a hypothesis is represented by its probability in light of the total evidence, and incremental support, or confirmation, indicated by the hypothesis having a higher probability conditional on some evidence than it does unconditionally. This proposal is shown to have the capacity to reconstruct many canons of the scientific method and inductive inference. Along the way, significant objections are discussed, such as the challenge of inductive scepticism, and the objection that the probabilistic approach makes evidential support arbitrary.

Cambridge CoreProbability and Inductive LogicCambridge Core - Logic - Probability and Inductive Logic
#probability#induction#bayesianism
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Sheril Kirshenbaum

The #food system is one of the most meaningful places to address #ClimateChange.

Have you been curious about switching from gas to #induction? This game-changing cooktop is faster, cleaner, more precise, and a win for the environment.

My new ep of Serving Up Science is all about why it makes sense to switch when it’s time to replace your range. youtu.be/JyTvHQnHq14?si=4twIzt #energy

youtu.be- YouTubeEnjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.
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Stahlbrandt

Fixed a broken #Miele #induction #hob. This is the KMDA 7774, manufactured year 2018. A nice cooktop with integrated extraction fan and flexible cooking zones. The glass panel #touch #sensors /#buttons started to fail, with problem to set levels, to turn the hob on and ghost turn-off while cooking. After disassembly, soldered all contact surfaces of the conductive rubber buttons residing under the glass, snapped-in on the #PCB. Had to snap each button off, and they were many! SMD solder iron too small for proper heat, but a regular sized WTB tip on the Weller station at some 400 deg C worked fine, using a desoldering pump to remove superfluous solder. Each pad is a via and even if looking pristine (no fog on the PCB, no visible oxidizing) it was enough resistance to become faulty. Believe this to be #conductive sensors and that the via size and/or thickness was wrongly designed. Might even be an issue with the design recommendations of the component supplier and not Miele. #DIY #repair #electronics #solder

Top layer of a printed circuit board with surface mount components. A tool is pointing at one of the two contact pads which has been soldered to decrease the resistance between the board and the conductive rubber button.
A touch sensor/button turned upside down with a tool pointing at one of the two soft contact points, which rest against the printed circuit board when the sensor is mounted.
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