The world is awash in data. According to International Data Corporation, the global datasphere is projected to grow to a staggering 175 zettabytes by 2025. This data deluge presents both opportunities and challenges. In logistics, a sector characterized by intricate networks and ever-evolving demands, optimizing operations to maximize efficiency and minimize costs has become paramount. This is where a nascent technology with revolutionary potential steps in: quantum computing.

Quantum computing represents a paradigm shift from the classical computers we rely on today. It harnesses the laws of quantum mechanics to unlock a new realm of computational power. Unlike classical bits, which are confined to either a 0 or 1 state, quantum bits, or qubits, can exist in a superposition of both states simultaneously. This phenomenon, along with entanglement, where qubits become linked and share a single fate, allows quantum computers to explore a vast number of possibilities concurrently, a power known as quantum parallelism.

This is a game-changer for tackling the complex optimization problems that plague the logistics industry. Here, traditional optimization algorithms often struggle due to the sheer volume of variables and the exponential increase in computation time as problem size grows. But quantum algorithms, leveraging the power of superposition and entanglement, promise to provide novel solutions. Industry giants such as IBM and DHL have begun proposing quantum solutions to logistics problems. DHL notes that since last-mile delivery costs account for 53% of total shipping costs, non-traditional solutions are needed to truly optimize costs.

The logistics landscape is riddled with optimization challenges. Consider the Traveling Salesman Problem (TSP): a salesman needs to visit a set of cities exactly once and return to the starting point, minimizing total travel distance. This is a complex task due to various constraints such as traffic, last-minute customer requests, and strict delivery windows. And as the number of cities increases, even the most powerful classical computers struggle to find the optimal route.

Beyond route optimization, logistics companies also grapple with challenges in inventory management and demand forecasting, where they must balance inventory levels to meet fluctuating demand while minimizing holding costs. Additionally, fleet management and scheduling require optimizing schedules and routes for vehicles, taking into account factors like traffic, fuel efficiency, and driver availability. Moreover, the design of supply chain networks demands efficiency to minimize transportation costs and ensure timely delivery. Addressing these multifaceted challenges is crucial for maintaining smooth and cost-effective logistics operations.

Traditional approaches to these problems, such as linear programming and heuristics, often reach computational limits as problem complexity increases. This is where quantum computing algorithms come to the fore.

Several quantum algorithms hold immense potential for logistics optimization. Quantum Annealing, inspired by the physical process of annealing, tunnels through solution spaces to find the optimal state. The Variational Quantum Eigensolver (VQE) algorithm iteratively refines the state of qubits to find solutions to optimization problems. The Quantum Approximate Optimization Algorithm (QAOA) utilizes a series of quantum operations to tailor the search for optimal solutions. Although not directly an optimization algorithm, Grovers Algorithm offers a significant speedup for searching databases, potentially aiding in tasks like finding optimal routes or inventory locations. Together, these algorithms represent powerful tools for enhancing efficiency and effectiveness in logistics.

The efficiency of these algorithms lies in their ability to explore a multitude of potential solutions simultaneously, unlike their classical counterparts. This translates to significant reductions in computation time, particularly for problems with vast solution spaces.

Lets delve into how these algorithms can be applied to specific logistics challenges:

While the potential of quantum computing for logistics optimization is undeniable, there are challenges to overcome. Currently, quantum hardware is in its nascent stages of development. Tech giants such as IBM and Google have announced quantum roadmaps to reach 1 million qubits by 2030, a number necessary for most commercial purposes like supply chain-related operations. That number currently stands at only 5000 qubits.

Furthermore, qubit error rates remain high, and the number of controllable qubits in a single processor is limited. Integrating these algorithms with existing logistics software and workflows also requires significant development efforts.

For logistics companies, adopting quantum computing solutions will require a cost-benefit analysis along with investments in training personnel and developing the necessary infrastructure.

The potential benefits of leveraging quantum computing algorithms for logistics optimization are vast. While technical challenges remain, continued research and development hold the promise of unlocking a new era of efficiency and sustainability in the logistics sector. It is crucial for logistics companies to stay informed about advancements in quantum computing and consider pilot projects to explore its potential applications. By embracing this revolutionary technology, the logistics industry can navigate the complexities of the data-driven world and deliver a future of optimized operations, reduced costs, and a more sustainable global supply chain.

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Leveraging quantum computing algorithms to solve complex optimization problems in logistics? - ET Edge - ET Edge Insights

Jun 24 2024Reviewed by Lexie Corner

In a studypublished in PeerJ Computer Science, Professor Kazuhiro Ogataand Assistant Professor Canh Minh Do of the Japan Advanced Institute of Science and Technology (JAIST) suggested using symbolic model checking to validate quantum circuits.

Quantum computing is a fast-developing technology that utilizes the principles of quantum physics to tackle complicated computational problems that are extremely difficult for classical computing.

To take advantage of quantum computing, researchers worldwide have created a large number of quantum algorithms that show notable gains over classical algorithms.

Creating these algorithms requires the use of quantum circuits, which are models of quantum processing. Before they are actually deployed on quantum hardware, they are utilized to design and implement quantum algorithms.

Quantum circuits consist of a series of quantum gates, measurements, and qubit initializations, among other events. Quantum gates execute quantum computations by working on qubits, the quantum equivalents of conventional bits (0s and 1s), and manipulating the system's quantum states.

Quantum states are the output of quantum circuits that can be monitored to provide classical outcomes with probabilities from which additional actions can be taken. Since quantum computing is frequently counterintuitive and substantially distinct from classical computing, the likelihood of mistakes is significantly larger. As a result, it is critical to ensure that quantum circuits have the correct features and perform as planned.

This can be accomplished using model checking, a formal verification approach used to ensure that systems meet desirable attributes. Although certain model checkers are specialized to quantum programs, there is a distinction between model-checking quantum programs and quantum circuits due to differences in representation and the absence of iterations in quantum circuits.

Considering the success of model-checking methods for verification of classical circuits, model-checking of quantum circuits is a promising approach. We developed a symbolic approach for model checking of quantum circuits using laws of quantum mechanics and basic matrix operations using the Maude programming language.

Canh Minh Do, Assistant Professor, Japan Advanced Institute of Science and Technology

Maude is a high-level specification/programming language based on rewriting logic that enables the formal definition and verification of complicated systems. It comes with a Linear Temporal Logic (LTL) model checker that determines if systems meet the necessary features. Maude also enables the development of exact mathematical models of systems.

Using the Dirac notation and the rules of quantum physics, the researchers formally defined quantum circuits in Maude as a set of quantum gates and measurement applications. They provided the systems intended attributes and its initial state in LTL.

By using a set of quantum physics laws and basic matrix operations formalized in our specifications, quantum computation can be reasoned in Maude.The researchers then automatically checked whether quantum circuits satisfied the required characteristics using the integrated Maude LTL model checker.

Using this method, several early quantum communication protocols, each with increasing complexity, were checked: Superdense Coding, Quantum Teleportation, Quantum Secret Sharing, Entanglement Swapping, Quantum Gate Teleportation, Two Mirror-image Teleportation, and Quantum Network Coding.

They discovered that the initial iteration did not meet the desired property of Quantum Gate Teleportation. By employing this method, the researchers suggested an updated version and verified that it was accurate.

These findings highlight the significance of the suggested novel technique for the verification of quantum circuits. However, the researchers highlight certain drawbacks of their strategy that need more investigation.

Dr. Do added, In the future, we aim to extend our symbolic reasoning to handle more quantum gates and more complicated reasoning on complex number operations. We also would like to apply our symbolic approach to model-checking quantum programs and quantum cryptography protocols.

Verifying the expected functionality of quantum circuits will be extremely useful in the approaching era of quantum computing. In this context, the current technique is the first step toward a broader framework for verifying and specifying quantum circuits, opening the way for error-free quantum computing.

The study was supported by JST SICORP Grant Number JPMJSC20C2, Japan, and JSPS KAKENHI Grant Numbers JP23H03370, JP23K19959, and JP24K20757.

Do, C. M., etal. (2024) Symbolic model checking quantum circuits in Maude. PeerJ Computer Science. doi:10.7717/peerj-cs.2098

See more here:

The Road to Error-Free Quantum Computing - AZoQuantum

Insider Brief

A team of scientists said an innovative ensemble deep learning model combined with quantum machine learning classifiers might improve the accuracy and efficiency of Alzheimers disease (AD) classification, according to a study published in Nature.

The researchers, from the University of Gondar in Ethiopia, used the classifiers to investigate Alzheimers disease, a chronic neurodegenerative disorder. Early diagnosis is crucial for timely intervention and treatment, potentially improving the quality of life for those affected. Traditional methods for diagnosing Alzheimers have limitations in accuracy and efficiency, prompting researchers to explore advanced technologies, such as quantum computing.

Quantum Computing and Deep Learning

Quantum computing offers a promising alternative to classical machine learning approaches for various disease classification tasks. Quantum computers, while still under development, can theoretically process complex data and perform calculations at a much faster rate, leveraging quantums unique potential to handle large datasets more efficiently and accurately.

The team leveraged this potential by developing a model that integrates deep learning architectures and quantum machine learning algorithms. This hybrid approach aims to enhance the precision and speed of Alzheimers diagnosis.

The study used data from the Alzheimers Disease Neuroimaging Initiative I (ADNI1) and Alzheimers Disease Neuroimaging Initiative II (ADNI2) datasets. These datasets, comprising MRI brain images, were merged and pre-processed to form the basis of the proposed model. Key features were extracted using a customized version of VGG16 and ResNet50 models. These features were then fed into a Quantum Support Vector Machine (QSVM) classifier to categorize the data into four stages: non-demented, very mild demented, mild demented, and moderate demented.

The ensemble deep learning model combined the strengths of both VGG16 and ResNet50 architectures, deep learning architectures used for image recognition tasks. VGG16 is known for its simplicity and deep convolutional layers, while ResNet50 introduces residual connections to allow for training of very deep networks without performance degradation. The QSVM classifier provided the computational power of quantum algorithms. This combination aimed to enhance the overall performance of the classification model.

Evaluation and Results

The performance of the proposed model was evaluated using six metrics: accuracy, area under the curve (AUC), F1-score, precision and recall. The results demonstrated that the ensemble model significantly outperformed several state-of-the-art methods in detecting Alzheimers disease.

These results lean toward the superiority of the ensemble model with QSVM in accurately classifying AD stages from the merged ADNI dataset. Its important to note that the ResNet + QSVM model exhibited a 6% improvement in accuracy compared to the standalone ResNet model, while the proposed ensemble model showed 8.5% and 12.21% better results compared to other ensemble and SVM models, respectively.

The experiments were conducted using a Hewlett Packard Core i5, sixth-generation computer with 8 GB RAM, and a Google Colab Pro GPU.On the quantum side, the researchers relied on a 5-qubit quantum hardware or simulator, employing the QSVM model from the Qiskit library. This setup allowed for efficient processing and analysis of the MRI brain images, demonstrating the practical application of quantum computing in medical research.

Implications and Future Research

The study highlights the potential of combining quantum classifiers and ensemble learning to achieve effective outcomes in disease classification tasks. The integration of quantum machine learning classifiers with deep learning architectures can significantly improve the accuracy and efficiency of Alzheimers disease diagnosis.

However, the researchers acknowledge the need for further studies to evaluate the practical implementation of this model within medical devices. Future research could focus on integrating the proposed model into real-world medical settings, providing a significant solution to support primary care for Alzheimers disease, especially in cases where MRI scans are blurred or challenging to interpret.

The researchers include: researchers Abebech Jenber Belay, Yelkal Mulualem and elaku Bitew Haile, all of the department of Information Technology, College of Informatics, University of Gondar, Gondar, Ethiopia.

Link:

University of Gondar Scientists Say Quantum Computers Offer Promising Boost to Alzheimer's Diagnosis - The Quantum Insider

The late Alan Watts, a philosopher, scholar, speaker, writer, and seminal figure in the counterculture of the Beat Generation, is getting a new publishing deal more than 50 years after his death.

Independent music publisher Third Side Music (TSM) has signed a new global creative publishing deal withThe Alan Watts Organization to foster creative music opportunities with Watts trove of 500+ hours of audio commentary, lectures, and radio programing for use in new songs by contemporary artists and in films, TV series, advertising, and other media.

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In recent years, Watts recordings, commentaries, and other works have been used in campaigns for major brands such asVolvo,GoPro,Cunard Lines,X-box,Netflix,Uber, andJack Daniels, among others.Although he was not a songwriter, hes credited for lyrics on hundreds of songs, and his works have been incorporated into thousands of lyric videos on YouTube and social media.

His words and compelling vocal delivery have sparked aviral TikTok sensation(#alanwatts has been used over 224 milliontimes) and inspired some of the worlds most influential artists and tastemakers, including Harry Styles, who overlaid WattsquoteThis sensation of being a separate lonely individual is a hallucinationas part of the intro inhis recent tours.

Watts has also been sampled by such artists asNas,Logic(The Incredible True Story, 27 million Spotify streams),INZO(Overthinker, more than 43 million YouTube views), andNuages(Dreams, 73 million YouTube views and 20 million Spotify streams).

As one of the first to interpret Eastern philosophy and make it relatable to Western audiences,Wattscommentaries andaspirational lectures on themes of unity, self-realization, and the spiritual world have proven to be evermore mainstream.He is perhaps best known for a multitude of famous quotes such as,What would you like to do if money were no object? How would you really enjoy spending your life?andI wonder, I wonder, what you would do if you had the power to dream at night any dream you wanted to dream.

Way Beyond the West,his Bay Area radio show that started in the 1950s, is still broadcast on KPFK in Los Angeles. By the early sixties, Watts radio talks aired nationally, and the counterculture movement adopted him as a spiritual spokesperson.

This is a dream come true. We are elated and honored to be entrusted to represent Alan Watts, whose recordings inspire and resonate today more than ever. Our global TSM creative team is excited to develop new music opportunities and work closely with Mark Watts and the Alan Watts Organization tohelp expose new audiences to his prolific recordings and legacy., saidAlex Kelman, EVP creative & A&R.

Mark Watts, director and cofounder of the Alan Watts Organization, said: Working with the wonderful team at Third Side Music brings abundant real-world experience and great talent to our focus on crafting creative relationships with musicians and labels. It will also help us foster conversations in the areas of filmmaking and commercial use. We are excited about the possibilities!

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Alan Watts, Beat Generation Philosopher And Seminal Counterculture Figure, Gets His Recorded Works Recycled - Yahoo News Australia

At a glance Expert's Rating Pros

The Lenovo Yoga Pro 9i is one of the best mainstream Windows laptops on the market, with great specs, a gorgeous display, and a killer keyboard.

$1,699.99

The Lenovo Yoga Pro 9i would not look out of place in an office, but this 16-inch laptop has another side. A laptop this size offers a good mix of portability and screen real estate, and theres also room for some serious hardware. This machine is well-made, attractive, and extremely powerfulit can even play modern PC games with surprising fluidity. On the other hand, even the base-model is very expensive, and most PC users dont need this much power.

Looking for more options? Check out PCWorlds roundup of the best laptops available right now.

The Yoga Pro 9i is Lenovos flagship laptop, and it comes in a number of configurations. Lenovo fiddles with pricing and specs almost constantly, but you can expect to pay a minimum of roughly $1,480 for the machine. Fully specced out, its around $2,100. This computer sits at the top of Lenovos mainstream notebook offerings, but some of the companys Legion gaming laptops are more capable and expensive.

Despite being a Yoga-branded laptop, this is not a 2-in-1. The 16-inch touchscreens hinge stops at 180-degrees like other traditional notebooks. That display is either a standard IPS LCD or miniLED, both at 3200 x 2000 resolution. There are two CPU options, too, a Meteor Lake Core Ultra 7 or Core Ultra 9. There are also two GPU options in the form of an Nvidia RTX 4050 or 4060, something you dont get on the step-down Yoga 7i. Here are the full specs of the review unit.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

The Yoga Pro 9i is a relatively large laptop, but its a good size given the hardware inside. Its only 0.7 inches thick when closed, and the 4.41 pound weight is a bit lower than other high-end laptops. Despite having a large display, the bezels are nice and slim, so it should fit in most laptop sleeves and compartments. The top bezel is a bit unusual with Lenovos trademark reverse display notch, which houses the 5MP webcam and microphones. It looks a bit strange at first, but it does offer a nice lip when closed to make the machine easier to open.

Some laptops feel rickety and too flexible when you pick them up, but not the Yoga Pro 9i. The entire chassis is aluminum, and all the panels are thick enough to feel solid and resist flexing. The hinge is also nice and tight, keeping the screen stable if you need to pick up and move the machine, but opening cleanly with one hand.

While theres no physical camera shutter, Lenovo does have a button on the right edge that electronically disables the camera when not in use. In addition to video chats, the camera can be used to your presence and put itself to sleep if you walk away for added security. The right side is also where youll find the USB-A ports, card reader, and the power button. On the opposite side, you get the USB-C ports, HDMI, 3.5mm, and the power port.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

Lenovo has some of the better laptop keyboards on the market, even on cheaper models. The Yoga Pro 9i offers generous key spacing and deep 1.5mm travel, making it easier to get up to speed without making excessive typos. Its worlds better than the current Dell XPS lineup in that respect.

The keys have above average tactility, and the bottom out is solid, not bouncy or mushy at all. The keys are backlit, as youd expect on a premium laptop. The lighting is even, and it doesnt bleed around the keys too much, but there are only two manual brightness stopsId like to see a few more options.

If you are so inclined, this laptop sports a dedicated key for Microsoft Copilot. Were going to see this new key a lotits between the arrows and spacebar, taking the place of the rarely used menu key. Speaking of the arrows, I wish Lenovo would use full-sized keys here. You get a full key for the left and right arrows, but up and down occupy a single key unit split down the middle. That can make it hard to find the arrows by feel.

I appreciate the inclusion of a full number pad on the Yoga Pro 9i. At 14 inches wide, theres just enough speed to fit everything, but Lenovo did have to reduce the size of the keys. The numbers are also right up against the modifiers (shift, enter, etc.), which can increase the frequency of accidental presses. Again, it can be hard to find this division by feel.

The keyboard is shifted to the left to make room for the number pad, and the trackpad is off to the side with it. I usually prefer to have trackpads in the middle regardless of the keyboard layout, but its not much of an issue here because the Lenovo Yoga Pro 9i has an enormous trackpad that covers much of the available space below the keyboard. The trackpads high-precision, Gorilla Glass-covered surface is a delight. I bumped the sensitivity a bit higher, and I hardly missed my mouse.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

The Lenovo Yoga Pro 9i really wows with its display. Im testing the lesser of the two screen options, a 16-inch IPS LCD at 32002000. It supports a 165Hz refresh rate, but the default mode has the machine locked to 60Hz. It also supports multitouch if you want to try to use Windows with touch. While the OS can be frustrating to poke, the glass is smooth and resists fingerprinting well. It would be more useful if the hinge allowed full rotation, though.

The miniLED version offers more vibrant colors and higher brightness, but the LCD is no slouch. Its extremely crisp, and the 400 nits brightness rating is good enough for use in bright lighting. However, the glass screen cover is very reflective, and the brightness isnt enough to make up for that if you try to use the computer outdoors.

Laptop speakers are rarely what you would call good, but the Yoga Pro 9i earns that distinction and then some. It has an impressive six-speaker setup, including four subwoofers and two tweeters. Thats even more robust than the Dell XPS 16, which PCWorld praised for its audio quality. The Yogas sound is clear, loud, and doesnt distort at high volumes. The speakers also drive home the quality of the overall computertheres some minor vibration in the chassis when you crank the volume, but it doesnt rattle or produce any unwanted noise. Even bass-heavy media will sound great on the Yoga Pro 9i, although dont expect deep thumping.

The Lenovo Yoga Pro 9i can tear through spreadsheets, documents, and other general computing tasks, but it can also satiate your appetite for games once work is all wrapped up. The Nvidia GeForce RTX 4050 is not the most capable laptop GPU, but its a rocket ship compared to the integrated GPUs most mainstream laptops use. I ran this machine through the usual battery of productivity tests, plus some of the benchmarks we usually reserve for gaming laptops.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

PCMark 10 is designed to test a machine across a variety of metrics like web browsing, video chat, and photo editing. Here, were looking at the overall score, and the Yoga Pro 9i puts up one of the best scores weve seen thanks to that Core Ultra 9 CPU, which has a TDP of 30W.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

Cinebench is a CPU-focused test that shows how a machine handles heavy but brief multi-core workloads. The Lenovo machine does well here, coming in just behind the Alienware m16 R2. While that machine has a lower-specced CPU, its default power profile doesnt leave as much performance on the table. The Yoga Pro 9i still beats all the other mainstream notebooks weve tested lately.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

The Handbrake test is similar to Cinebench in that it shows how a computer handles multithreaded tasks, but this is a longer-duration test where thermals matter more. Again, the Yoga Pro 9i comes in just behind the performance-tuned Alienware m16 R2. However, its a cut above all the other mainstream laptops in our databaseits about a third faster than the Dell XPS 14, for example.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

While the Lenovo Yoga Pro 9i is not technically a gaming laptop, its equipped with a capable RTX 4050 GPU, and the upgraded model has an RTX 4060. In 3D Marks Time Spy benchmark, the Yoga leaves other mainstream laptops in the dust. Even the Dell XPS 14 with the same GPU falls well behind the Lenovo machine.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

To get a better handle on gaming performance, I ran the Yoga Pro 9i through the Shadow of the Tomb Raider benchmark, which is an excellent real-world test of gaming power. Comparing the Yoga Pro 9i to a slate of gaming notebooks, this laptop holds its own. Computers with the RTX 4070 and 4090 are well out in front, but the Lenovo Yoga Pro 9i can surpass even some machines with more powerful RTX 4060 GPUs.

Ive used the Yoga Pro 9i alongside gaming notebooks, and its more than good enough to push some pixels after a long day of office work. Using DLSS upscaling, its possible to play games like Baldurs Gate 3 and Cyberpunk 2077 on the gorgeous 32002000 display with good visual fidelity. You wont be able to crank up advanced graphical features like ray tracing, but most games will still look great on this machine.

In general day-to-day usage, the Lenovo Yoga Pro 9i has never felt sluggish. Apps open fast, the ample RAM keeps multiple windows and a gaggle of browser tabs running, and Windows hasnt crashed once. Lenovos excellent Vantage settings app also makes it easy to control the features and performance of the machine in one place. As for the rest of the software, its a standard Windows experience after you ditch the McAfee app and a few other pieces of bloatware in your way.

The Lenovo Yoga Pro 9i has an 84Wh battery, which is on the small size for a 16-inch laptop. Combined with the powerful hardware and high-resolution screen, the battery life is acceptable but not particularly good. Our battery test consists of playing a 4K copy of Tears of Steel on repeat in the Movies & TV app (in airplane mode) until the laptop runs out of juice. The Yoga Pro 9i managed just under nine hours in this test, which is below most mainstream notebooks. However, it runs a little ahead of gaming notebooks.

IDG / Ryan Whitwam

IDG / Ryan Whitwam

IDG / Ryan Whitwam

We ran this test first in the default 60Hz refresh mode. While the screen looks nice in 165Hz mode, it takes a big bite out of your batterythe laptop loses about an hour in the video benchmark. When theres no power to plug in, Id suggest sticking with 60Hz mode. The higher refresh rate will have a bigger impact in general computing compared to video. That said, even at 165Hz, you should be able to make it through a work day with the Lenovo Yoga Pro 9i.

Plenty of laptops are relying entirely on USB-C for charging now, but not this one. Because theres a dedicated GPU inside this machine, it needs more power than current USB devices can supply. The 170W Slim Tip charger keeps the machine running at full speed, and it recharges quickly. However, you can plug a USB-C cable with USB Power Delivery support into one of the two ports to charge the machine at up to 100W. The system will throttle performance when powered over USB-C.

The Lenovo Yoga Pro 9i is one of the best mainstream Windows laptops on the market right now. The performance is top notch, whether youre juggling spreadsheets or getting a few frags in before bed. The battery life is passable; it might be nice to have a bit more longevity, but I like the aggressive performance tuning. The build quality is also solid, with a full aluminum housing with no flex or rattle. I would have preferred a fully rotating screen, but the Yoga Pro 9i gets the traditional laptop form factor right. The screen is easy to open with one hand, and it stays where you leave it even if you move the machine around or pound on the keyboard.

Speaking of the keyboard, Lenovo did a good job of making the keys feel spacious even with that full number pad. The tactility is excellent for a laptop, and the keys feel solid at bottom out with almost no mushiness. Im also a fan of the huge trackpad, which is clad in glass and feels buttery smooth. The audio-video experience is top tier, as well. Even the base model IPS display is excellent compared to similar laptops, and theres a miniLED upgrade available. The speakers are also goodand not just good for a laptop.

The fantastic hardware brings us to this machines biggest con: the price. Youre looking at around $1,500 for the cheapest variant. My test unit clocked in at $1,700, and it doesnt even have the upgraded miniLED screen. You can easily spend over $2,000 on the Lenovo Yoga Pro 9i with all the trimmings. All the prices feel a bit too highthats MacBook Pro money. The model I reviewed has already been on sale as low as $1,500, and that seems about right. The good news is Lenovo shuffles prices frequently, so the Yoga Pro 9i will undoubtedly go on sale again.

See more here:
Lenovo Yoga Pro 9i review: Close to perfection - PCWorld

Yoga for self and society

This year marks the 10th International Day of Yoga with the themeYoga for Self and Society.Yoga, a transformative practice, represents the harmony of mind and body, the balance between thought and action, and the unity of restraint and fulfillment. It integrates the body, mind, spirit, and soul, offering a holistic approach to health and well-being that brings peace to our hectic lives. Its power to transform is what we celebrate on this special day.

Yoga is an ancient physical, mental and spiritual practice that originated in India. The word yoga derives from Sanskrit and means to join or to unite, symbolizing the union of body and consciousness.

Today it is practiced in various forms around the world and continues to grow in popularity.

Recognizing its universal appeal, on 11 December 2014, the United Nations proclaimed 21 June as the International Day of Yoga byresolution 69/131.

The International Day of Yoga aims to raise awareness worldwide of the many benefits of practicing yoga.

The draft resolution establishing the International Day of Yoga was proposed by India and endorsed by a record 175 member states. The proposal was first introduced by Prime Minister Narendra Modi in his address during the opening of the 69th session of the General Assembly, in which he said: Yoga is an invaluable gift from our ancient tradition. Yoga embodies unity of mind and body, thought and action ... a holistic approach [that] is valuable to our health and our well-being. Yoga is not just about exercise; it is a way to discover the sense of oneness with yourself, the world and the nature.

The resolution notes the importance of individuals and populations making healthier choices and following lifestyle patterns that foster good health. In this regard, the World Health Organization has also urged its member states to help their citizens reduce physical inactivity, which is among the top ten leading causes of death worldwide, and a key risk factor for non-communicable diseases, such as cardiovascular diseases, cancer and diabetes.

Read more from the original source:
International Day of Yoga 2024 - World Health Organization (WHO)

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Brazil Yoga | Nation % World AP news of the day | chronicleonline.com - Citrus County Chronicle

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NDRF Dog Jimmy Joins International Yoga Day Celebrations - The Anniston Star

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Yoga teachers in San Diego are suing the city over its efforts to enforce an ordinance that places limitations on classes taking place at beaches and parks. Earlier this year, the city council approved an amendment to the ordinance that barred yoga classes consisting of four or more people unless the teachers have a permit, which are available only for select beaches and parks. The original regulation, approved in 2022, restricted activities of street vendors in public spaces.

Now, teachers are arguing that this violates their First Amendment rights. Its our right to assemble in a public park. We are just trying to share a practice, explained Steve Hubbard, one of the yoga instructors suing San Diego, in an interview with Yoga Journal.

Yoga teacher Amy Baack had been teaching yoga twice a week at Sunset Cliffs since 2021 until recently. On a Wednesday evening, I showed up to teach my class, and there were three park ranger trucks all parked out on the cliffs, she explained. They told me that we werent allowed to be there anymore.

Similarly, Hubbard was issued citations for teaching beach classes on May 18 and June 1. Ultimately, the two teachers joined together and filed a lawsuit against the city on June 3.

San Diego is one of many cities throughout the country that requires a permit for activities held in public spaces. The specific regulations and fees vary depending on the municipality and the number of attendees.

Hubbard had previously experienced conflict with the city related to leading classes on the beach without a permit. About 11 years ago, they gave me tickets for teaching here [on Pacific Beach] as well. Ive been doing this class for 17 years, and I went to court for those tickets, he said.

At the time, the city didnt allow more than 49 people to gather for a class in the park, said Hubbard. According to the San Diego Municipal Code, commercial permits must be obtained by those who are teaching yoga and fitness classes, although groups of fewer than 50 people who are not engaged in a commercial activity or service do not require a permit.

I told the judge I dont have the right to kick the 50th person out of the park, Hubbard said of the past situation. He agreed with us.

However, the recently amended ordinance brings a different set of regulations. A City of San Diego Parks and Recreation spokesperson told Yoga Journal that the concerns stemmed from increased business activity in the parks and on the beaches since the pandemic. The City saw a proliferation of businesses operating illegally in public spaces, attracting crowds of people and vehicles to areas that were not equipped to accommodate the influx. The situation also impeded access to beach and park areas for residents and visitors, said the spokesperson.

Like most coastal cities, San Diegos Municipal Code (SDMC) regulates commercial activities in City-owned areas to ensure parks, beaches, and public spaces remain safe and accessible to all people at all times, explained the spokesperson.

The SDMC defines commercial activities or services (which are listed together) as the performance of work for others or the provision of intangible items to a group of four persons or more at the same time that cannot be returned once they are provided. Yoga and fitness classes are listed as examples of services.

Baack and Hubbard dispute being lumped into the same category as a business owner or a street vendor. They say their classes are donation-based, free to anyone, and designed for inclusivity.

[Most yoga teachers] dont make much money, so I know what it is to still want to take a class and enjoy a beautiful experienceespecially in a park that we pay taxes for, says Baack. We pay to live in San Diego, to go to the beach. The point of San Diego is to be by the water.

Parisa Pease, ESQ, co-counsel on Hubbard and Baacks case, explained that those who make the least amount of money will be most affected by this new city ordinance. This effectively disproportionately harms the lowest income San Diegans who are denied access to these high-quality community-based classes aimed at improving physical and mental well-being. Not everyone can afford the exorbitant membership fees otherwise needed.

Bryan Pease, ESQ, co-counselor for Hubbard and Baacks case, said they will take legal steps to try to restore yoga in the park. We will be seeking a preliminary injunction to stop the City from preventing the practice of yoga in City parks while the case is pending, says Bryan Pease. Ultimately, winning the case will ensure that people can continue to teach and learn yoga in City parks for free or with optional donations.

In the interim, Hubbard has continued teaching classes via YouTube from his backyard. Sometimes a couple of his students will gather at his old teaching spot, unroll their yoga mats, and stream the class. The people in the park bring a speaker, and just one person goes on their phone and hooks it up to the speaker, he explained.

Baack was gifted space to teach. Jimmys American Tavernlent her its private marina in Point Loma to host her classes. Still, she hopes to return to her old spot with her regulars. Ive had a big loss of the number of students that Im getting, and I just miss everybody, says Baack.

The City of San Diego Parks and Recreation spokesperson says that one fitness teacher has already successfully acquired a permit to teach classes on the shoreline parks. According to The City of San Diego website, more than 60 park locations are available for these permits.

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San Diego Enforced Stricter Regulations on Beach Yoga Classes. These Teachers Are Suing the City. - Yoga Journal

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'Reversed Cancer, Dementia...' Ramdev On International Yoga Day - The Anniston Star