On Friday, US President Joe Biden on the billionaire Elon Musk's acquisition of Twitter, said that Musk had bought a social networking platform that spreads lies around the world.

"Now what worries us all, is Elon Musk's purchase of a tool that sends lies around the world...There are no more editors in America. There are no editors. How can we expect children to be risk-aware?" Biden warned.

The head of the Safety and Integrity Department at Twitter, Yoel Roth announced earlier Friday, in a tweet that the company had laid off 50 percent of its employees, while he said that there had been no change in content monitoring on Twitter.

Roth added that 15% of Twitter employees on the Safety and Integrity team, which monitors misinformation and harmful content, have been laid off. He added that company-wide layoffs affected 50 percent of employees, the first confirmation from Twitter insider about the scale of the layoffs.

"Again, to be absolutely clear, Twitter's strong commitment to content moderation remains absolutely unchanged," Musk said in a tweet shortly after Roth's tweet.

Musk had previously said Twitter had seen a "massive drop in revenue" due to civil rights groups that have raised concerns about how layoffs will affect content moderation and have pressured major advertisers to withdraw their ad spending.

As some oppose Musk’s takeover of the platform that us largely used by civil society groups and politicians, many back Musk’s new policies in the Twitter and call it a return of freedom to the platform.

On Monday, Apple released the official iOS 16 operating system, which contains some new features for iPhone devices, but there are some essential tips you should follow before downloading it.

And Apple decided to deprive some old phone models and revealed that the new operating system will be available for download now for owners of "iPhone 8" and later versions.

The new operating system brings all-new customization features, deeper intelligence, and smoother communication and sharing.

Important tips must be followed before downloading the iOS 16 operating system, including ensuring that the phone includes enough space, not less than 15 GB, whether in the iPhone or iPad.

It must also be ensured that the smart device is charged more than 50%, and it is recommended to take a backup copy of the phone data.

iOS 16 brings new personalization features, thus enhancing the iPhone experience, and the operating system improves devices with all-new personalization features, deeper intelligence, and smoother ways to communicate and share.

It also offers widgets on the lock screen, where you can display a set of widgets as part of the lock screen to peek at information such as weather, time, date, and battery levels.

Smart Search will improve your results by correcting misspellings and using synonyms for your search terms.

You can edit or unsend a message you just sent and mark a message as unread if you can't reply to it at the moment and want to return to it later.

The new operating system also includes the iCloud Shared Photo Library, coming out later this year, and lets you share a photo library with your family and up to five others. Each has equal permissions to add, edit, and delete photos in the shared library.

Fitness

iOS 16 adds a fitness app for all users who use the phone's built-in motion sensors to provide an estimate of calories burned based on steps, distance traveled, and use of third-party fitness apps, even if you don't have an Apple Watch. And the new Medications feature in the Health app lets you track what you should take and when.

Camera Translation

 The new system adds a camera translation feature, which may be suitable for holidays in foreign regions, allowing you to translate the text around you using the camera in the translation app. Just hold the camera on the words you want to translate, pause the display, and the translation will be added to the text in a still image.

Lock Mode Feature

It won't be for everyone, but Apple says the new Lockdown feature "provides maximum protection for a minimal number of users who face serious, targeted threats to their digital security."

Disconnect

When your hands are full, it can be challenging to end a phone with a hard-to-find phone in your pocket. Now you can ask Siri by sending the command, "Hey Siri, hang up." But beware, if you're trying to be discreet, the caller can hear you telling Siri to hang up.

A groundbreaking mathematical equation that could transform medical procedures, natural gas extraction, and plastic packaging production in the future has been discovered.

The new equation, developed by scientists at the University of Bristol, indicates that diffusive movement through permeable material can be modeled exactly for the very first time.

It comes a century after world-leading physicists Albert Einstein and Marian von Smoluchowski derived the first diffusion equation, and marks important progress in representing motion for a wide range of entities from microscopic particles and natural organisms to man-made devices.

Until now, scientists looking at particle motion through porous materials, such as biological tissues, polymers, various rocks and sponges have had to rely on approximations or incomplete perspectives.

The findings, published today in the journal Physical Review Research, provide a novel technique that presents exciting opportunities in a diverse range of settings including health, energy, and the food industry.

Lead author Toby Kay, who is completing a Ph.D. in Engineering Mathematics, said, "This marks a fundamental step forward since Einstein and Smoluchowski's studies on diffusion. It revolutionizes the modeling of diffusing entities through complex media of all scales, from cellular components and geological compounds to environmental habitats.

"Previously, mathematical attempts to represent movement through environments scattered with objects that hinder motion, known as permeable barriers, have been limited. By solving this problem, we are paving the way for exciting advances in many different sectors because permeable barriers are routinely encountered by animals, cellular organisms and humans."

Creativity in mathematics takes different forms and one of these is the connection between different levels of description of a phenomenon. In this instance, by representing random motion in a microscopic fashion and then subsequently zooming out to describe the process macroscopically, it was possible to find the new equation.

Further research is needed to apply this mathematical tool to experimental applications, which could improve products and services. For example, being able to model accurately the diffusion of water molecules through biological tissue will advance the interpretation of diffusion-weighted MRI (Magnetic Resonance Imaging) readings. It could also offer more accurate representation of air spreading through food packaging materials, helping to determine shelf life and contamination risk. In addition, quantifying the behavior of foraging animals interacting with macroscopic barriers, such as fences and roads, could provide better predictions on the consequence of climate change for conservation purposes.

The use of geolocators, mobile phones, and other sensors has seen the tracking revolution generate movement data of ever-increasing quantity and quality over the past 20 years. This has highlighted the need for more sophisticated modeling tools to represent the movement of wide-ranging entities in their environment, from natural organisms to man-made devices.

Senior author Dr. Luca Giuggioli, Associate Professor in Complexity Sciences at the University of Bristol, said, "This new fundamental equation is another example of the importance of constructing tools and techniques to represent diffusion when space is heterogeneous; that is, when the underlying environment changes from location to location.

"It builds on another long-awaited resolution in 2020 of a mathematical conundrum to describe random movement in confined space. This latest discovery is a further significant step forward in improving our understanding of motion in all its shapes and forms—collectively termed the mathematics of movement—which has many exciting potential applications."