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Archive for the ‘mathematics’ category: Page 42

Jan 26, 2023

Cancer cells may shrink or super-size to survive

Posted by in categories: biotech/medical, chemistry, genetics, mathematics

Cancer cells can shrink or super-size themselves to survive drug treatment or other challenges within their environment, researchers have discovered.

Scientists at The Institute of Cancer Research, London, combined biochemical profiling technologies with to reveal how lead to differences in the size of cancer cells—and how these changes could be exploited by new treatments.

The researchers believe smaller cells could be more vulnerable to DNA-damaging agents like chemotherapy combined with targeted drugs, while larger cancer cells might respond better to immunotherapy.

Jan 26, 2023

How Quantum Computing Will Transform Our World

Posted by in categories: climatology, economics, encryption, finance, government, internet, mathematics, military, quantum physics, space, supercomputing, sustainability

Tech giants from Google to Amazon and Alibaba —not to mention nation-states vying for technological supremacy—are racing to dominate this space. The global quantum-computing industry is projected to grow from $412 million in 2020 to $8.6 billion in 2027, according to an International Data Corp. analysis.

Whereas traditional computers rely on binary “bits”—switches either on or off, denoted as 1s and 0s—to process information, the “qubits” that underpin quantum computing are tiny subatomic particles that can exist in some percentage of both states simultaneously, rather like a coin spinning in midair. This leap from dual to multivariate processing exponentially boosts computing power. Complex problems that currently take the most powerful supercomputer several years could potentially be solved in seconds. Future quantum computers could open hitherto unfathomable frontiers in mathematics and science, helping to solve existential challenges like climate change and food security. A flurry of recent breakthroughs and government investment means we now sit on the cusp of a quantum revolution. “I believe we will do more in the next five years in quantum innovation than we did in the last 30,” says Gambetta.

But any disrupter comes with risks, and quantum has become a national-security migraine. Its problem-solving capacity will soon render all existing cryptography obsolete, jeopardizing communications, financial transactions, and even military defenses. “People describe quantum as a new space race,” says Dan O’Shea, operations manager for Inside Quantum Technology, an industry publication. In October, U.S. President Joe Biden toured IBM’s quantum data center in Poughkeepsie, N.Y., calling quantum “vital to our economy and equally important to our national security.” In this new era of great-power competition, China and the U.S. are particularly hell-bent on conquering the technology lest they lose vital ground. “This technology is going to be the next industrial revolution,” says Tony Uttley, president and COO for Quantinuum, a Colorado-based firm that offers commercial quantum applications. “It’s like the beginning of the internet, or the beginning of classical computing.”

Jan 26, 2023

Quantum Safe Cryptography — A Quantum Leap Needed Now

Posted by in categories: biotech/medical, computing, encryption, finance, information science, internet, mathematics, quantum physics, security

Whether we realize it or not, cryptography is the fundamental building block on which our digital lives are based. Without sufficient cryptography and the inherent trust that it engenders, every aspect of the digital human condition we know and rely on today would never have come to fruition much less continue to evolve at its current staggering pace. The internet, digital signatures, critical infrastructure, financial systems and even the remote work that helped the world limp along during the recent global pandemic all rely on one critical assumption – that the current encryption employed today is unbreakable by even the most powerful computers in existence. But what if that assumption was not only challenged but realistically compromised?

This is exactly what happened when Peter Shor proposed his algorithm in 1995, dubbed Shor’s Algorithm. The key to unlocking the encryption on which today’s digital security relies is in finding the prime factors of large integers. While factoring is relatively simple with small integers that have only a few digits, factoring integers that have thousands of digits or more is another matter altogether. Shor proposed a polynomial-time quantum algorithm to solve this factoring problem. I’ll leave it to the more qualified mathematicians to explain the theory behind this algorithm but suffice it to say that when coupled with a quantum computer, Shor’s Algorithm drastically reduces the time it would take to factor these larger integers by multiple orders of magnitude.

Prior to Shor’s Algorithm, for example, the most powerful computer today would take millions of years to find the prime factors of a 2048-bit composite integer. Without Shor’s algorithm, even quantum computers would take such an inordinate amount of time to accomplish the task as to render it unusable by bad actors. With Shor’s Algorithm, this same factoring can potentially be accomplished in a matter of hours.

Jan 25, 2023

YouTube unveils new program that enables students to earn college credits

Posted by in categories: education, mathematics

YouTube announced today that it’s partnering with Arizona State University and educational video company Crash Course to launch a new program that enables students to earn college credit. The Google-owned company says the new program, called College Foundations, is designed to create an affordable and accessible way to earn college credit.

Starting today, students can sign up for four courses that start on March 7, 2023, and are eligible for transfer credit. The program does not require applications or a minimum GPA for enrollment. It includes common first-year college courses, including Intro to Human Communication, Rhetoric and Composition, Real World College Math and US History to 1865.

The program is expected to expand to 12 available courses by January 2025 to give students a chance to receive credit for an entire first year of college. There is a $25 fee if a student elects to sign up and begin coursework, and a $400 fee to receive college credit for each course. Those who sign up before March 7 will receive a $50 discount. Courses can be taken as often as needed until the student is content with their grade. The credit can then be used at institutions that accept credits from Arizona State University.

Jan 24, 2023

General theory of relativity | General relativity explained | General relativity lecture

Posted by in categories: education, mathematics, quantum physics

#generalrelativitylecture.

General theory of relativity has got a deep understanding. In this General relativity lecture I have explained, the deep philosophical meaning of General relativity. I have also described from Special relativity when we move to General relativity, the entire notion of spacetime changes and why the mathematics becomes difficult. I have also discussed quantum mechanics and general relativity and its connection to string theory. This is a video, which discusses about the nature of development of the process and some deep philosophies which lies in the heart of spacetime.

Continue reading “General theory of relativity | General relativity explained | General relativity lecture” »

Jan 24, 2023

ChatGPT passes Wharton Business School’s MBA exam, gets a B

Posted by in categories: business, cybercrime/malcode, mathematics, robotics/AI

Sometimes, ChatGPT made “surprising” mistakes in school-level math.

Microsoft-backed OpenAI’s AI chatbot ChatGPT has been making headlines ever since it was released to the public on November 30. It can break down complex scientific concepts, compose poems, write stories, code, and create malware…the list is endless. OpenAI has also released a paid version of the chatbot. Known as ‘ChatGPT Professional’, it is available at $42 per month.


Bauna/iStock.

Continue reading “ChatGPT passes Wharton Business School’s MBA exam, gets a B” »

Jan 24, 2023

When WIll We Upload Our Minds To Other Species?

Posted by in categories: augmented reality, bioengineering, business, genetics, life extension, mathematics, robotics/AI, transhumanism

This video explores aliens, mind uploading to other species (like in Avatar), genetic engineering, and future robots. Watch this next video about digital immortality: https://youtu.be/sZdWN9pbbew.
► Support This Channel: https://www.patreon.com/futurebusinesstech.
► Udacity: Up To 75% Off All Courses (Biggest Discount Ever): https://bit.ly/3j9pIRZ
► Brilliant: Learn Science And Math Interactively (20% Off): https://bit.ly/3HAznLL
► Jasper AI: Write 5x Faster With Artificial Intelligence: https://bit.ly/3MIPSYp.

SOURCES:
https://en.wikipedia.org/wiki/Eagle_eye#:~:text=Eagles%20hav…0developed, see%20from%205%20feet%20away.
https://vcahospitals.com/know-your-pet/how-dogs-use-smell-to…has%20been, 10%2C000%20times%20better%20than%20people.
https://www.scientificamerican.com/article/small-animals-liv…ion-world/
https://en.wikipedia.org/wiki/Human_cloning.

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Jan 23, 2023

There’s A Formula To Calculate Any Digit Of Pi, And Nobody Noticed For Centuries

Posted by in categories: computing, mathematics

What’s your favorite number? There are literally infinite options, and yet only a few which seem to stand out as more popular than others: there’s seven, obviously; 13 or 666 for the badasses among us; and √2 for anyone who just likes annoying Pythagoreans.

But there’s really only one number out there that can claim to be World Champion: pi. What other mathematical constant is literally used as a benchmark for computing power, or forms the basis for a never-ending worldwide grudge match over who can list the most random digits in the correct order (current record: 111,700)?

The reason pi is able to capture our imagination like this is because it is an irrational number – in other words, its decimal expansion is never-ending and entirely random. It’s thought that any sequence of numbers you can possibly think of can be found somewhere in the expansion of pi, and yet knowing any particular sequence somewhere in the expansion tells you no information about which digit comes next.

Jan 23, 2023

Light Shaped as a Smoke Ring Behaves Like a Particle

Posted by in categories: climatology, mathematics, nanotechnology, particle physics

Researchers report a new, highly unusual, structured-light family of 3D topological solitons, the photonic hopfions, where the topological textures and topological numbers can be freely and independently tuned.

We can frequently find in our daily lives a localized wave structure that maintains its shape upon propagation—picture a smoke ring flying in the air. Similar stable structures have been studied in various research fields and can be found in magnets, nuclear systems, and particle physics. In contrast to a ring of smoke, they can be made resilient to perturbations. This is known in mathematics and physics as topological protection.

A typical example is the nanoscale hurricane-like texture of a magnetic field in magnetic thin films, behaving as particles—that is, not changing their shape—called skyrmions. Similar doughnut-shaped (or toroidal) patterns in 3D space, visualizing complex spatial distributions of various properties of a wave, are called hopfions. Achieving such structures with light waves is very elusive.

Jan 21, 2023

The World in a Billion Years: Top 5 Future Technologies

Posted by in categories: biological, mathematics, Ray Kurzweil, robotics/AI, singularity

This video covers the world in a billion years and its future technologies. Watch this next video about the world in a million years: https://bit.ly/3xe50by.
► Support This Channel: https://www.patreon.com/futurebusinesstech.
► Udacity: Up To 75% Off All Courses (Biggest Discount Ever): https://bit.ly/3j9pIRZ
► Brilliant: Learn Science And Math Interactively (20% Off): https://bit.ly/3HAznLL
► Jasper AI: Write 5x Faster With Artificial Intelligence: https://bit.ly/3MIPSYp.

SOURCES:
• The Future of Humanity (Michio Kaku): https://amzn.to/3Gz8ffA
• The Singularity Is Near: When Humans Transcend Biology (Ray Kurzweil): https://amzn.to/3ftOhXI

Continue reading “The World in a Billion Years: Top 5 Future Technologies” »

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