Latest news with #Pythagorean
Irish Independent
3 days ago
- Entertainment
- Irish Independent
Carlow to host Ireland's first ever vegan music festival – ‘We all know vegans love to dance'
While the idea of combining veganism with music is a new phenomenon to Ireland, vegan music festivals are already prominent in other countries around the world. For three whole days, starting on Friday August 15 and running until Sunday August 17, Lisnavagh House & Garden in Rathvilly, Co Carlow will be transformed into a vegan's paradise for Féile Vegan – Ireland's first and only vegan music festival. From live music to thought-provoking talks, delicious vegan food, non-food vegan vendors, cooking demos and wellness sessions, there is lots to do and see, whether you are a seasoned vegan or someone who is just curious about cruelty-free living. The legendery Sharon Shannon, who is a lifelong advocate for veganism and animal rights, has also just been announced as a suprise guest and is set to headline on Saturday night of the festival. 'This is the very first vegan music festival in Ireland ever,' Féile Vegan organiser Denis Nealis told the Irish Independent. 'It's never been done here before. 'We have had vegan festivals but this is the first time we have combined a vegan festival with that musical element so it's very exciting.' When asked why veganism and music needed to be combined into a festival, Denis had one very simple answer. "Well we all know vegans love to dance,' replied Denis. With veganism growing in popularity in Ireland, Denis and the rest of the Féile Vegan team said that now feels like the right time to launch a vegan music festival "There is definitely demand in the market for a vegan music festival,' added Denis. 'Veganism is becoming more popular in Ireland and there are far more vegan products available in the mainstream shops like Dunnes Stores, Tesco, Aldi and Lidl. "Vegans and people on the veggie spectrum have been looking for something different like a vegan music festival where veganism, music and wellness is combined into one singular event for like-minded people.' Veganism and vegetarianism has a strong history in Ireland, although Denis argues that most of it has been 'airbrushed' out of history. George Bernard Shaw, who has Carlow connections through inherited property, was an early vegetarian. Meanwhile pioneering Irish scientist, John Tyndall, who was born in Carlow in 1820, is commonly referred to as the 'father of climate science'. During his career, the Carlow man proved the greenhouse effect and became the first scientist to explain why the sky is blue among a number of other notable achievements. "George Bernard Shaw was a Dublin native but he inherited property in Carlow, that's his Carlow connection and he was heavily involved in vegetarian societies, which were known as Pythagorean socities back then,' explained Denis. "He was a vocal advocate for vegetarianism and spoke and wrote widely about its benefits.' As the first day of the inaugural event rapidly approaches, Denis says that anyone can attend Féile Vegan with participants even encouraged to bring their dogs along for the weekend. "Féile Vegan is family and even companion animal friendly,' said Denis. 'Attendees are encouraged to bring their dogs along with them and we will also have a wide variety of different animal charities there at the festival that you can connect with. "Children under the age of 12 also go free and we will have lots of activities on offer for the entire family across Friday, Saturday and Sunday.' For a full line-up of live music, events and activities at Féile Vegan, you can visit the Vegan Society of Ireland website and the Féile Vegan 2025 social media pages on Facebook and Instagram. Tickets are available to purchase through eventbrite with a variety of different ticket types available from day passes starting at €54.60 to weekend glamping tickets costing up to €430. Children under the age of 12 go free.
Time of India
11-07-2025
- Science
- Time of India
Pythagorean theorem made easy: Essential tips every to solve complex geometry problems
The Pythagorean theorem stands as one of mathematics' most enduring and practical principles. Named after the ancient Greek mathematician Pythagoras, this fundamental concept has guided engineers, architects, and students through geometric challenges for over two millennia. Tired of too many ads? go ad free now Whether you're calculating the dimensions of a building project or solving examination problems, understanding this theorem opens doors to countless mathematical applications. Understanding the concept At its core, the Pythagorean theorem provides a reliable method for finding unknown sides in right-angled triangles. The principle states that in any right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides. Mathematically, this relationship appears as a² + b² = c², where 'a' and 'b' represent the two legs forming the right angle, and 'c' represents the hypotenuse—the longest side opposite the right angle. This seemingly simple formula contains profound geometric truth. The legs of a right triangle create the foundation, whilst the hypotenuse bridges them at the perfect angle. To fully grasp this relationship, it's essential to understand each component: a and b represent the two legs that form the right angle—these are the sides that meet at 90 degrees c represents the hypotenuse, which is always the longest side and sits opposite the right angle The formula works because it describes the precise mathematical relationship between these three sides Recognising this relationship allows mathematicians to solve complex spatial problems with remarkable precision. Identifying the right triangle Success with the Pythagorean theorem begins with proper identification. Right-angled triangles feature one angle measuring exactly 90 degrees, typically marked with a small square symbol. This crucial angle distinguishes these triangles from other geometric shapes and validates the use of Pythagoras' formula. When approaching any problem, examine the given information carefully. You'll need at least two known measurements to find the third. Tired of too many ads? go ad free now These measurements might represent actual lengths in construction projects, coordinates in navigation systems, or abstract values in mathematical exercises. Solving for unknown sides The theorem's versatility shines through its multiple applications. The approach varies depending on which measurement you need to find: Finding the hypotenuse (when you know both legs): Square both legs (a² and b²) Add the results together Take the square root of the sum For example: legs of 3 and 4 units give √(3² + 4²) = √(9 + 16) = √25 = 5 units Finding a leg (when you know the hypotenuse and one leg): Square the hypotenuse (c²) Square the known leg (a² or b²) Subtract the leg's square from the hypotenuse's square Take the square root of the result This systematic approach reveals the missing measurement with mathematical certainty. Expanding beyond basic triangles The theorem's applications extend far beyond simple triangle problems. In coordinate geometry, it enables distance calculations between any two points. The distance formula d = √[(x₂ - x₁)² + (y₂ - y₁)²] directly applies Pythagorean principles to coordinate differences. Complex geometric shapes often contain hidden right triangles. Rectangles, squares, and many irregular polygons can be subdivided into right triangles, making the theorem applicable to seemingly unrelated problems. This decomposition technique transforms complicated calculations into manageable steps. Special triangles and shortcuts Certain right triangles possess elegant mathematical relationships that simplify calculations. These special triangles appear frequently in mathematics and real-world applications: Common Pythagorean triples: 3-4-5 triangle: The most famous example where sides measuring 3 and 4 units always produce a hypotenuse of 5 units 5-12-13 triangle: Another perfect triple that follows the same whole-number pattern 8-15-17 triangle: Less common but equally useful for quick calculations Special angle triangles: 45°-45°-90° triangle: Sides maintain a 1:1:√2 ratio, making calculations straightforward 30°-60°-90° triangle: Follows a 1:√3:2 pattern, often appearing in geometric problems Recognising these special cases accelerates problem-solving and reduces computational errors. Three-dimensional applications The theorem's power extends into three-dimensional space through sequential application. Finding the diagonal of a rectangular box requires two calculations: first determining the base diagonal using the standard two-dimensional formula, then applying the theorem again with the height to find the space diagonal. This layered approach makes complex spatial problems manageable. Architects calculating structural supports, engineers designing frameworks, and navigators plotting courses all employ this technique regularly. Practical problem-solving strategies Real-world applications demonstrate the theorem's practical value across numerous industries and situations: Professional applications: Construction workers use it to ensure foundations are perfectly square and walls are properly aligned Surveyors calculate property boundaries and measure distances across difficult terrain Architects verify structural angles and calculate diagonal braces in building frameworks Engineers design stable bridges, towers, and mechanical systems Common everyday problems: Ladder placement: Determining safe distances from walls when positioning ladders Television mounting: Calculating diagonal screen sizes and optimal viewing distances Gardening: Planning rectangular garden plots and diagonal pathways Navigation: Finding direct distances between two points Each application follows the same logical progression: identify the right triangle, label known values, apply the formula, and verify results. The Pythagorean theorem remains relevant because it describes fundamental relationships within our physical world. From the smallest architectural details to the largest engineering projects, this ancient principle continues guiding modern solutions. Understanding its applications and mastering its techniques provides a foundation for advanced mathematical concepts and practical problem-solving skills that extend far beyond the classroom.
Yahoo
09-07-2025
- Sport
- Yahoo
Tigers earn No. 2 spot in ESPN's midseason rankings and chase historic pace
Tigers earn No. 2 spot in ESPN's midseason rankings and chase historic pace originally appeared on Athlon Sports. ESPN Analyst Puts Tigers at No. 2 in Midseason Stock Watch It's the year of the Tiger, according to ESPN. Halfway through the 2025 MLB season, the numbers are starting to reflect what Detroit Tigers fans have started to let themselves believe. Advertisement ESPN's Bradford Doolittle placed the Tigers No. 2 in his latest MLB Stock Watch, ranking them just behind the Dodgers as the most well-positioned team entering the second half. Detroit owns a 99.8% chance of making the playoffs and is on pace for nearly 98 wins, with a 14.4% shot at winning it all. Yes, this is real. Detroit Tigers left-hander Tarik Skubal faces the Minnesota Twins on June 29, 2025, at Comerica Park.© Lon Horwedel-Imagn Images 'If the season ended today,' Doolittle wrote, 'the Tigers' Pythagorean winning percentage would be one of the five best in franchise history.' That puts this team in rarefied air—trailing only the legendary squads of 1909 (Ty Cobb), 1934–35 (Hank Greenberg), and 1968 (Denny McLain), and ahead of the 1984 Kirk Gibson-led team that actually won it all. Advertisement Detroit has done more than just beat expectations. They've shifted a rebuild that once looked stuck in neutral into high gear. They are charging to the top of the American League standings behind breakout stars and one ace making a historic case of his own. Tarik Skubal, the reigning AL Cy Young winner, has been even better in 2025. He leads the AL in wins, ranks second in strikeouts, and sits fourth in ERA. According to Doolittle's proprietary AXE metric, he's sixth-best in all of MLB and the Tigers' undisputed first-half MVP. If he keeps this up, Skubal could do something only Grover Alexander, Lefty Grove, and Sandy Koufax have done—win the pitching Triple Crown in back-to-back seasons. Advertisement That kind of history usually doesn't happen in Detroit. But right now, the Tigers aren't just making noise—they're making comparisons to legends. And if the second half looks anything like the first, they might end up joining them. Related: Hall of Famer Calls Tigers Ace Tarik Skubal a Bully on the Mound Related: Why the Tigers' Silence on This All Star's Future Is Concerning This story was originally reported by Athlon Sports on Jul 5, 2025, where it first appeared.
New Statesman
02-07-2025
- Entertainment
- New Statesman
From Stephen King to Noah Eaton: new books reviewed in short
'I Humbly Beg Your Speedy Answer' edited by Mary Beth Norton The world's first personal advice column came about by accident. In early 1691, the Athenian Mercury was a new broadsheet that sought to provide talking points for coffeehouse patrons by answering assorted questions of the day. However, the three-man editorial team quickly started to receive queries of a more intimate nature from their subscribers and found that matters of marriage, lust and courtship interested their readers more than those on medicine, law and the military. This book, nimbly edited and introduced by the historian Mary Beth Norton, contains a broad selection of questions and answers, and plus ça change. 'It is my misfortune to be red-haired,' laments a correspondent with his eye on a woman with the 'greatest aversion' to the shade and asking for a method to turn his locks brown; 'I've a dreadful scold of a wife,' writes another, asking 'how to tame her'; if a man finds his fiancée in bed with another man, is he still duty-bound to marry her? We may now have Mumsnet and Reddit but, nevertheless, many of these three-centuries-old quandaries still come with a there-but-for-the-grace-of-God warning. By Michael Prodger Princeton University Press, 203pp, £20. Buy the book Never Flinch by Stephen King When it comes to reading books by the 'King of Horror' it's best to go in with an open mind and without assuming what will happen next – unless you want to be let down by your deducing skills. This rule clearly applies to King's latest book, Never Flinch. Though a standalone novel, it features a much-loved private investigator, Holly Gibney, and those associated with her investigation firm Finders Keepers. Although the reader is introduced to the murderer from the get-go, this by no means spoils the fun. You may think you know all there is to know, but King's mastery of withholding those final important pieces of information will have you working alongside Holly, perhaps not on unveiling the identity of the criminal, but on their motives. And let's not discard King's signature parallel plotlines which in the end collide to bring everything to light. With a killer on a revenge mission and a religious zealot targeting a celebrity feminist speaker, Never Flinch is not as graphic or as scary as King's previous novels. What makes the book unnerving and impossible to put down is how real and plausible everything described can be. By Zuzanna Lachendro Hodder & Stoughton, 429pp, £25. Buy the book A Perfect Harmony: Music, Mathematics and Science by David Darling 'Math and music are intimately related,' says composer and lyricist Stephen Sondeim. While to many music might seem remote from maths and science, their shared intricacies have been studied for centuries. We all recall Pythagoras' theorem (some more fondly than others), but what about Pythagorean tuning to create the interval of a perfect fifth? Though its mathematical precision fell out of favour by the end of the 15th century, Pythagorean tuning and its 'circle of fifths' remains at the heart of harmonic theory today. It comes as no surprise that many scientists were also musicians. A Perfect Harmony serves to solidify just how interlinked the fields are. From the Neanderthal bone instrument that mimics the musical scales we commonly use today, through musica universalis of the Middle Ages combining arithmetic, geography, music and astronomy, to the two Voyager spacecrafts' cosmic LPs, the disciplines co-exist in perfect harmony. Darling's observant musical odyssey across time reinforces that 'music and maths are endlessly entwined… nourishing one another' and have done so for millennia. After all, at its simplest music is melody and rhythm, and rhythm cannot exist without maths. By Zuzanna Lachendro Oneworld, 288pp, £10.99. Buy the book The Harrow by Noah Eaton The Harrow is a local newspaper – for Tottenham. Not, as its hardened editor John Salmon is sick of explaining, for Harrow: 'As in 'to harrow', to rake the land and drag out weeds, to distress the powerful. As in Christ harrowing Hell, saving the innocent and righteous. Not Harrow as in that miserable bloody town Harrow!' The paper, each issue announces, is 'the guardian of your democracy'. Subscribe to The New Statesman today from only £8.99 per month Subscribe The reality is not quite so grand. The coverage focuses on villains, not victims, because no one cares about the latter. Salmon keeps a shabby office and three staff above a betting shop and spends much of his time harassing off-licence proprietors who have tried to lower their order. But when the prospect of a last-gasp 'big story' heaves into view, Salmon and his team feel their hopes renewed. At well over 400 pages, The Harrow is on the weightier side for a thriller – and for a debut. But author Noah Eaton keeps the story ticking along at a pleasingly alacritous clip. Sometimes the world Eaton has built is told a little indulgently, but all told the story is complex, amusing and readable. By George Monaghan Atlantic Books, 389pp, £18.99. Buy the book Related
India.com
28-06-2025
- General
- India.com
Weekly Numerology Horoscope For June 30 - July 6: Destiny Number 2- How This Week Will Turn In Terms Of Love, Finance, Health & More
In the mystical world of numerology, every number carries a unique vibration and symbolic meaning. Your Destiny Number, derived from the full name on your birth certificate, reveals your life's purpose, the opportunities and challenges you're destined to face, and the traits that will guide your path. Shweta Bhardwaj, numerologist and astrologer, Gaura AstroPredictions, brings her insightful weekly numerology predictions for June 30 - July 6, 2025. How To Calculate Your Destiny Number To find your Destiny Number, assign a numerical value to each letter of your full birth name using the Pythagorean system (A = 1, B = 2, ..., I = 9, J = 1 again, etc.), add all the numbers together, and reduce them to a single digit unless it's a Master Number (11, 22, or 33). Your final result is your Destiny Number. For example: Full name: John Smith J(1) + O(6) + H(8) + N(5) = 20 S(1) + M(4) + I(9) + T(2) + H(8) = 24 20 + 24 = 44 → 4 + 4 = 8 → Destiny Number = 8 Destiny Number 2 This week invites Numerology Number 2 individuals to embrace their natural diplomacy and intuition. You may find yourself playing the role of mediator or emotional anchor in personal and professional circles. It's a period of deep emotional sensitivity, but also one where your empathy becomes your superpower. Avoid overthinking and trust your inner calm to lead the way. Career & Finances Workplace dynamics could be slightly tense, but your tactful nature will be key in smoothing things over. Instead of pushing forward aggressively, adopt a cooperative and collaborative approach. Opportunities will arise through partnerships or teamwork. Financially, avoid big investments or loans this week — things are better handled with caution and consultation. Relationships & Love This is a significant week for emotional bonding. For those in relationships, deeper conversations will bring you closer — but be cautious not to internalize others' emotions too much. You're a great listener, but you also need to be heard. Singles may feel nostalgic or drawn to someone who mirrors their emotional depth. Health & Wellness Your emotional sensitivity may manifest physically if left unchecked. Prioritize your mental well-being — journaling, light yoga, or gentle walks can help. Try not to let the moods of others weigh you down. Pay attention to digestion and hydration, as stress may subtly affect your system this week. Lucky Days: Monday & Friday
