Commutativity and associativity might sound the same, and indeed most commutative operations are also associative. But there are a few math operations that are only one or the other. Matrix multiplication, for example, is associative but not commutative Matrix multiplication - Wikipedia en.wikipedia.org/wiki/Matrix_multiplication#Non-commutativity . And surprisingly, floating point arithmetic — i.e. any math operator in JavaScript — is commutative but not associative Associative property - Wikipedia en.wikipedia.org/wiki/Associative_property#Nonassociativity_of_floating_point_calculation ! ↩
But what if it’s not fine? Even back in 1996, before a single component of the ISS was launched into orbit, NASA foresaw the possibility of an even worse worst-case scenario: an uncontrolled reentry. The crux of this scenario involves multiple systems failing in an improbable but not completely impossible cascade. Cabin depressurization could damage the avionics. The electrical power system could go offline, along with thermal control and data handling. Without these, systems controlling coolant and even propellant could break down. Unmoored, the ISS would edge slowly toward Earth, maybe over a year or two, with no way to control where it is headed or where its debris might land. And no, we could not save ourselves by blowing the station up. This would be extremely dangerous and almost certainly create an enormous amount of space trash—which is how we got into this hypothetical mess in the first place.
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3일 법조계에 따르면 의정부지법 고양지원 형사1부(부장판사 김희수)는 특정범죄가중처벌등에관한법률위반(뇌물)과 뇌물수수, 알선뇌물수수, 사기 혐의로 구속 기소된 전직 경찰 간부 40대 A 씨에게 징역 6년에 벌금 1억 원을 선고했다.
macOS Tahoe transforms the MacBook Pro experience with powerful capabilities that turbocharge productivity.6 Major updates to Spotlight make it easier to find relevant apps and files and immediately take action right from the search bar. Apple Intelligence is even more capable while protecting users’ privacy at every step.7 Shortcuts get even more powerful with intelligent actions and the ability to tap directly in to Apple Intelligence models. Integrated into Messages, FaceTime, and the Phone app, Live Translation helps users easily communicate across languages, translating text and audio.7 Additionally, developers can bring Apple Intelligence capabilities into their applications or tap in to the Foundation Models framework for specialized on-device intelligence tasks. Continuity features include the Phone app on Mac, which lets users relay cellular calls from their nearby iPhone, and with Live Activities from iPhone, they can stay on top of things happening in real time.6 macOS Tahoe also features a beautiful new design with Liquid Glass, and users can personalize their Mac in even more ways with an updated Control Center, in addition to new color options for folders, app icons, and widgets.
Юлия Сычева (корреспондент)