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Google Doodle honors father of fuzzy logic Lotfi Zadeh

The computer scientist and electrical engineer’s concept used mathematics to mimic how people see the world.

In 1964, while contemplating how to program software for handwriting recognition, a mathematician, computer scientist and electrical engineer named Lotfi Zadeh conceived of a new mathematical technique. His fuzzy logic theory offered an alternative to the rigid yes-no logic, in an attempt to mimic how people see the world.

To honor his controversial innovation, Google on Tuesday dedicated its Doodle to Zadeh on the 57th anniversary of the concept’s creation. The Doodle demonstrates his concept, showing that an alternative to the black-or-white Boolean logic, which determines the membership of a given class based on one (yes) or zero (no). His theory provided a means for calculating intermediate values between yes and no.

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Born on Feb. 4, 1921, in Azerbaijan, Zadeh moved with his family at the age of 10 to Iran, where he graduated with a science degree from the University of Tehran. He earned enough money selling goods to the US Army during World War II to move to continue his education in the US, earning a master’s degree in electrical engineering from the Massachusetts Institute of Technology in 1946 and a Ph.D. from Columbia in 1949.

While serving as an electrical engineer professor at the University of California, Berkeley, Zadeh proposed using imprecise data to solve problems that may have more than one solution. His 1965 paper Fuzzy Sets — Information and Control sought to use mathematics to define human concepts such as «slightly,» «tall» or «beautiful» and other concepts that have ambiguous meanings, thus creating a set theory where elements have a degree of membership.

Zadeh’s theory proved controversial, with many in academic circles ridiculing and attacking it, because it challenged other forms of mathematics and used unusual terminology.

«My paper was an object of indifference, skepticism and derision,» he wrote in 2015. «A prominent school of thought claimed that fuzzy set theory is probability theory in disguise.

«In part, many negative reactions to my papers reflected the fact that the word «fuzzy» has pejorative connotations,» he wrote.

Despite the criticism, fuzzy logic became popular with Japanese manufacturers and played a prominent role in everything from medicine to economic modelling to antilock braking and dishwashers, to name just a few.

In recognition of his achievement, Zadeh received dozens of engineering and academic awards, including 24 honorary doctorates.

Zadeh died in 2017 at the age of 96.

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Apple, I’m (Sky) Blue About Your iPhone 17 Air Color

Commentary: The rumored new hue of the iPhone 17 Air is more sky blah than sky blue.

I can’t help but feel blue about the latest rumor that Apple’s forthcoming iPhone 17 Air will take flight in a subtle, light-hued color called sky blue.

Sky blue isn’t a new color for Apple. It’s the featured shade of the current M4 MacBook Air, a shimmer of cerulean so subtle as to almost be missed. It’s silver left too close to an aquarium; silver that secretly likes to think it’s blue but doesn’t want everyone else to notice.

Do Apple employees get to go outside and see a real blue sky? It’s actually vivid, you can check for yourself. Perhaps the muted sky blue color reflects a Bay Area late winter/early spring frequent layer of clouds like we typically see here in Seattle.

«Who cares?» you might find yourself saying. «Everyone gets a case anyway.» I hear you and everyone else who’s told me that. But design-focused Apple is as obsessive about colors as they are about making their devices thinner. And I wonder if their heads are in the clouds about which hues adorn their pro products.

Making the case for a caseless color iPhone

I’m more invested in this conversation than most — I’m one of those freaks who doesn’t wrap my phone in a case. I find cases bulky and superfluous, and I like to be able to see Apple’s design work. Also, true story, I’ve broken my iPhone screen only twice: First when it was in a «bumper» that Apple sent free in response to the iPhone 4 you’re-holding-it-wrong Antennagate fiasco, and second when trying to take long exposure starry night photos using what I didn’t realize was a broken tripod mount. My one-week-old iPhone 13 Pro slipped sideways and landed screen-first on a pointy rock. A case wouldn’t have saved it.

My current model is an iPhone 16 Pro in black titanium — which I know seems like avoiding color entirely — but previously I’ve gone for colors like blue titanium and deep purple. I wanted to like deep purple the most but it came across as, in the words of Patrick Holland in his iPhone 14 Pro review, «a drab shade of gray or like Grimace purple,» depending on the light.

Pros can be bold, too

Maybe the issue is too many soft blues. Since the iPhone Pro age began with the iPhone 11 Pro, we’ve seen variations like blue titanium (iPhone 15 Pro), sierra blue (iPhone 13 Pro) and pacific blue (iPhone 12 Pro).

Pacific blue is the boldest of the bunch, if by bold you mean dark enough to discern from silver, but it’s also close enough to that year’s graphite color that seeing blue depends on the surrounding lighting. By comparison, the blue (just «blue») color of the iPhone 12 was unmistakably bright blue.

In fact, the non-Pro lines have embraced vibrant colors. It’s as if Apple is equating «pro» with «sophisticated,» as in «A real pro would never brandish something this garish.» I see this in the camera world all the time: If it’s not all-black, it’s not a «serious» camera.

And yet I know lots of pros who are not sophisticated — proudly so. People choose colors to express themselves, so forcing that idea of professionalism through color feels needlessly restrictive. A bright pink iPhone 16 might make you smile every time you pick it up but then frown because it doesn’t have a telephoto camera.

Color is also important because it can sway a purchase decision. «I would buy a sky blue iPhone yesterday,» my colleague Gael Cooper texted after the first rumor popped online. When each new generation of iPhones arrive, less technically different than the one before, a color you fall in love with can push you into trading in your perfectly-capable model for a new one.

And lest you think Apple should just stick with black and white for its professional phones: Do you mean black, jet black, space black, midnight black, black titanium, graphite or space gray? At least the lighter end of the spectrum has stuck to just white, white titanium and silver over the years.

Apple never got ahead by being beige

I’m sure Apple has reams of studies and customer feedback that support which colors make it to production each year. Like I said, Apple’s designers are obsessive (in a good way). And I must remind myself that a sky blue iPhone 17 Air is a rumored color on a rumored product so all the usual caveats apply.

But we’re talking about Apple here. The scrappy startup that spent more than any other company on business cards at the time because each one included the old six-color Apple logo. The company that not only shaped the first iMac like a tipped-over gumdrop, that not only made the case partially see-through but then made that cover brilliant Bondi blue.

Embrace the iPhone colors, Apple.

If that makes you nervous, don’t worry: Most people will put a case on it anyway.

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Astronomers Say There’s an Increased Possibility of Life on This Distant Planet

Using the James Webb Space Telescope, astronomers are working to confirm potential evidence of life on a distant exoplanet dubbed K2-18b.

Astronomers are nearing a statistically significant finding that could confirm the potential signs of life detected on the distant exoplanet K2-18b are no accident.

The team of astronomers, led by the University of Cambridge, used data from the James Webb Space Telescope (which has only been in use since the end of 2021) to detect chemical traces of dimethyl sulfide (DMS) and/or dimethyl disulfide (DMDS), which they say can only be produced by life such as phytoplankton in the sea. 

According to the university, «the results are the strongest evidence yet that life may exist on a planet outside our solar system.»

The findings were published this week in the Astrophysical Journal Letters and point to the possibility of an ocean on this planet’s surface, which scientists have been hoping to discover for years. In the abstract for the paper, the team says, «The possibility of hycean worlds, with planet-wide oceans and H2-rich atmospheres, significantly expands and accelerates the search for habitable environments elsewhere.»

Not everyone agrees, however, that what the team found proves there’s life on the exoplanet.

Science writer and OpenMind Magazine founder Corey S. Powell posted about the findings on Bluesky, writing, «The potential discovery of alien life is so enticing that it drags even reputable outlets into running naive or outright misleading stories.» He added, «Here we go again with planet K2-18b.Um….there’s strong evidence of non-biological sources of the molecule DMS.»

K2-18b is 124 light-years away and much larger than Earth (more than eight times our mass), but smaller than Neptune. The search for signs of even basic life on a planet like this increases the chances that there are more planets like Earth that may be inhabitable, with temperatures and atmospheres that could sustain human-like lifeforms. The team behind the paper hopes that more study with the James Webb Space Telescope will help confirm their initial findings.

More research to do on finding life on K2-18b

The exoplanet K2-18b is not the only place where scientists are exploring the possibility of life, and this research is still an early step in the process, said Christopher Glein, a geochemist, planetary researcher and lead scientist at San Antonio’s Southwest Research Institute. Excitement over the significance of the research, he said, should be tempered.

«We need to be careful here,» Glein said. «It appears that there is something in the data that can’t be explained, and DMS/DMDS can provide an explanation. But this detection is stretching the limits of JWST’s capabilities.»

Glein added, «Further work is needed to test whether these molecules are actually present. We also need complementary research assessing the abiotic background on K2-18b and similar planets. That is, the chemistry that can occur in the absence of life in this potentially exotic environment. We might be seeing evidence of some cool chemistry rather than life.»

The TRAPPIST-1 planets, he said, are being researched as potentially habitable, as is LHS 1140b, which he said «is another astrobiologically significant exoplanet, which might be a massive ocean world.»

As for K2-18b, Glein said many more tests need to be performed before there’s consensus on life existing on it.

«Finding evidence of life is like prosecuting a case in the courtroom,» Glein said. «Multiple independent lines of evidence are needed to convince the jury, in this case the worldwide scientific community.» He added, «If this finding holds up, then that’s Step 1.»

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