#educationUnmoderated tag#educationHotmes in # math • 10 hr. ago • 2 min readTheorem 1 and the Test for the Divergence of Infinite SeriesIn this video, I go over Theorem 1, which states that the terms of a convergent series approach zero. Conversely, if the terms don't approach zero, the series diverges, hence providing a useful test for divergence. I prove Theorem 1 by re-arranging the n-th term as a difference of two partial sums, which, since they are convergent, are equal and…anthony347 memberin Curators Community • 1 day ago • 3 min readThe History Of Cleopatra (Educative)👸The story of Cleopatra is one of power, politics, love, and survival. The Story of Cleopatra Cleopatra VII Philopator was born in 69 BC in Egypt. Although many people think she was ethnically Egyptian, her family was actually Greek. She belonged to the Ptolemaic dynasty, a dynasty founded by one of Alexander the Great's generals. She grew…mes in # math • 2 days ago • 1 min readMES Math Q/A 65: What are Maxwell's Equations?Maxwell’s equations, together with the Lorentz force law, form the foundation of classical electromagnetism. The four Maxwell equations are Gauss’s law for electricity, Gauss’s law for magnetism, Faraday’s law of induction, and the Ampère–Maxwell circuital law. June 17, 2026 Wednesday at 10:00 AM PST YouTube - Rumble - Odysee -…mes in # math • 3 days ago • 2 min readHarmonic Series: Proving it diverges via an ingenious methodIn this video, I show that the harmonic series, 1 + 1/2 + 1/3 + 1/4 + ..., diverges by showing its even power partial sums are greater than a similar but smaller series involving repeating 1/2 terms. This is a very clever derivation, and it was due to the French scholar Nicole Oresme from the 14th century. 3Speak - YouTube - Telegram…mes in # math • 6 days ago • 2 min readTelescoping Sum: All the terms of this series cancel out except for the first and last termIn this video, I go over an infinite series in which arises an example of the famous telescoping sum such that all the terms of the series cancel except for the first and last term. The series with terms 1/(n(n+1)) is not a geometric series, so we have to start off with the definition of a convergent series and begin by writing out the terms of…condividisulweb in Ecoer • 6 days ago • 4 min readItaly Bet on People Over Bots: Ambitious National Plan to Regulate AIItaly moves forward with AI regulation, introducing new rules for work, education and safety under the EU AI Act framework.mes in # math • 8 days ago • 2 min readGeometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1Example on finding the sum of the infinite series x^n where |x| < 1 by noticing it is a convergent geometric series.tas.media memberin Curators Community • 10 days ago • 2 min read🌌 The Northern Lights: A Symphony of Color in the Sky🌌 Few natural phenomena capture the imagination quite like the Northern Lights...mes in # math • 10 days ago • 2 min readConverting the number 2.3171717... into the fraction 1147/495 via the Geometric Series3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over an example of converting the number 2.3171717... (with infinite repeating 17) into a fraction by writing the repeating 17s as an infinite geometric series with common ratio 1/100, hence the sum is convergent.…mes in # math • 11 days ago • 2 min readExamples on Identifying Geometric Series and Determining if it Converges or Diverges3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over two examples and two methods of identifying if a series is a geometric series, and then finding its sum if it converges. In the first example, we are given the first 4 terms of a series, which we can identify the…dailyblurt memberin Curators Community • 13 days ago • 1 min readBack to Basics 🍎📚There’s something incredibly grounding about the classic symbols of learning. A simple stack of books, a crisp red apple, a handful of sharp colored pencils, and those nostalgic ABC blocks. It immediately takes me back to the excitement of a new school year, the smell of fresh paper, and the endless possibilities of a blank notebook. Whether…mes in # math • 15 days ago • 2 min readGeometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over the geometric series, which is the sum a + a r + a r^2 + ..., and show that if the absolute value of the common ratio r is less than 1, then the sum is just the first term divided by one minus the common ratio. I…mes in # math • 17 days ago • 4 min readGeosynchronous Satellite + Arthur C. Clarke's connections with 9/11, Ball Lightning, & Cold Fusion3Speak - YouTube - Telegram - Notes - Playlist - Vector Functions - MES Links In this video, I use the equation for Kepler's third law to calculate the required altitude above Earth's equator of a satellite to have the same period as Earth's 24-hour rotation, and which is called a geosynchronous satellite. The resulting…mes in # math • 19 days ago • 2 min readLength of Earth's Orbit around the Sun is 299 million km wide3Speak - YouTube - Telegram - Summary - Notes - Sections playlist - Vector Functions playlist - MES Links In this video, I use Kepler's third law to calculate the length of Earth's elliptical orbit to be around 299,000,000 km wide and takes about 365.25 days to complete 1 full revolution. The equation for Kepler's…daily-knol in # generalknowledge • 21 days ago • 2 min readDay 3: Fascinating Geography Facts Most People Get Completely WrongWe've already busted some school myths in this series. Now let's talk about geography because honestly, most people's mental map of the world is full of surprises waiting to happen. Here's a good one. Which city is further west — London or Casablanca, Morocco? Most people say Casablanca because Africa feels like it should be to the right on a…mes in # math • 22 days ago • 3 min readKepler's Second Law: A Planet's Orbit Sweeps out Equal Areas in Equal Times3Speak - YouTube - Telegram - Summary - Notes - Sections playlist - Vector Functions playlist - MES Links In this video, I derive Kepler's 2nd law of planetary motion and show that the line joining the Sun to a planet sweeps out equal areas in equal times. In other words, the rate of change of the area of the orbit…blurt.media in # flatearth • 23 days ago • 3 min read[Flat Earth Dave Interviews] The Conspiratard Podcast w Flat Earth Dave [Mar 17, 2026]by @flatearthdavetv on FlatEarthDave.tv View my bio on Blurt.media: Get the app! Learn the TRUTH! More info found at App Referral code: FErkvst Share the app with everyone: To book Flat Earth Dave on your show: Detoxify your life! Remove Nano Toxins! Buy "MasterPeace" Holistic Detoxification. Link here: Show…blurt.media in # flatearth • 23 days ago • 3 min read[The Improbable Dreamer The Doctor] Episode 30 Dave Weiss Live [Mar 19, 2026]by @flatearthdavetv on FlatEarthDave.tv View my bio on Blurt.media: Join us for a live discussion with Flat Earth Dave as we explore the mysteries of the flat earth theory, debunk common misconceptions about satellites and space, and delve into alternative explanations for our universe. This episode is packed with insights, questions, and…blurt.media in # flatearth • 23 days ago • 3 min read[Flat Earth Dave Interviews 2] Connecting Minds PODCAST w Flat Earth Dave [Mar 23, 2026]by @flatearthdavetv on FlatEarthDave.tv View my bio on Blurt.media: Get the app! Learn the TRUTH! More info found at App Referral code: FErkvst Share the app with everyone: To book Flat Earth Dave on your show: Detoxify your life! Remove Nano Toxins! Buy "MasterPeace" Holistic Detoxification. Link here: Show…mes in # math • 24 days ago • 3 min readKepler's First Law: Planets Revolve around the Sun in an Ellipse3Speak - YouTube - Telegram - Summary - Notes - Sections playlist - Vector Functions playlist - MES Links In this video, I derive Kepler's 1st law of planetary motion entirely from Newton's second law of motion and Newton's law of universal gravitation, while making extensive use of the calculus of vector functions…
