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Cantor showed that the "integer grid" has the exact same number of points as the "integer line"—even though both have infinitely many points! The correspondence can be shown using two (& only two!) bijective quadratic functions sending pairs (x,y)∈ℕ₀×ℕ₀ to integers n∈ℕ₀.

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Keenan Crane

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269,127 görüntüleme • 3 yıl önce •via X (Twitter)

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Using a Joystick with the Feather Offset, you can make the light change as you move the cursor. You only need to create two animations, one for the horizontal movement of the light and shadows, another for the vertical movement, and connect both to a joystick. Have fun!!
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Using a Joystick with the Feather Offset, you can make the light change as you move the cursor. You only need to create two animations, one for the horizontal movement of the light and shadows, another for the vertical movement, and connect both to a joystick. Have fun!!

JcToon

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JUST IN: China has reportedly deployed multiple warships to the Middle East region after the United States deployed two carrier strike groups. Up to 6 Chinese warships were reportedly deployed including two advanced 052D destroyers. The news comes as the United States has prepared to deploy more troops to the region. The exact number is currently unknown. "I will continue to assess our force posture requirements in the region and consider deploying additional capabilities as necessary," said Secretary of Defense Lloyd Austin. It didn’t have to be this way…
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JUST IN: China has reportedly deployed multiple warships to the Middle East region after the United States deployed two carrier strike groups. Up to 6 Chinese warships were reportedly deployed including two advanced 052D destroyers. The news comes as the United States has prepared to deploy more troops to the region. The exact number is currently unknown. "I will continue to assess our force posture requirements in the region and consider deploying additional capabilities as necessary," said Secretary of Defense Lloyd Austin. It didn’t have to be this way…

Collin Rugg

10,930,243 görüntüleme • 2 yıl önce

I’m guessing that the combo of fat positivity + early menopause explains the FTM wheelchair phenomenon. The FTM cane 🦯 user phenomenon is best explained by psychosomatization/ being white & needing a cane for extra oppression points. I sh*t you not. I knew many trans 🏳️‍⚧️ identified young women. Around 20 of them (combined from different cities & countries) and they all required mobility aids about four, five years in. It was one or two if they were really obese & inactive The T pushed whatever issues they had way over the edge. Only two of them seemed like they were psychosomatizing because those were the two with the canes & the brightly colored trans stickers on them . Wheelchairs are way too expensive to get even if they are medically necessary, to use one as a tool to gain victim points.
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I’m guessing that the combo of fat positivity + early menopause explains the FTM wheelchair phenomenon. The FTM cane 🦯 user phenomenon is best explained by psychosomatization/ being white & needing a cane for extra oppression points. I sh*t you not. I knew many trans 🏳️‍⚧️ identified young women. Around 20 of them (combined from different cities & countries) and they all required mobility aids about four, five years in. It was one or two if they were really obese & inactive The T pushed whatever issues they had way over the edge. Only two of them seemed like they were psychosomatizing because those were the two with the canes & the brightly colored trans stickers on them . Wheelchairs are way too expensive to get even if they are medically necessary, to use one as a tool to gain victim points.

Maia Poet🦎

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PVL ON TOUR CHANGES AND INNOVATIONS 🏐 The PVL has announced the following rule changes and innovations for this year's PVL on Tour. 🔸 Each winning team per game will win P100,000 while the losing team will receive P50,000. 🔸 All 14 players per team must have already played by the end of Set 2, with each player required to be part of at least three rallies. 🔸 The two-point Premier Ball, similar to the one used in the All-Star Game, will again be used in the PVL on Tour. It can only be activated until a team reaches 22 points in Sets 1 to 4, and until 12 points in Set 5. #PVL2026 #PVLonTour #AlasPilipinas
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PVL ON TOUR CHANGES AND INNOVATIONS 🏐 The PVL has announced the following rule changes and innovations for this year's PVL on Tour. 🔸 Each winning team per game will win P100,000 while the losing team will receive P50,000. 🔸 All 14 players per team must have already played by the end of Set 2, with each player required to be part of at least three rallies. 🔸 The two-point Premier Ball, similar to the one used in the All-Star Game, will again be used in the PVL on Tour. It can only be activated until a team reaches 22 points in Sets 1 to 4, and until 12 points in Set 5. #PVL2026 #PVLonTour #AlasPilipinas

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Footage showing one of two Russian Geran-2 drone strikes on a Ukrainian passenger train in Shostka, Sumy Oblast, from yesterday. The locomotive hit is No. ChME3 1816, and interestingly that same exact train was seen in September of this year covered in anti-drone netting. Additionally, the cargo cars can be linked back to Chornomorsk, Odesa Oblast, and that exact type has been used for maritime military purposes.
0:09

Footage showing one of two Russian Geran-2 drone strikes on a Ukrainian passenger train in Shostka, Sumy Oblast, from yesterday. The locomotive hit is No. ChME3 1816, and interestingly that same exact train was seen in September of this year covered in anti-drone netting. Additionally, the cargo cars can be linked back to Chornomorsk, Odesa Oblast, and that exact type has been used for maritime military purposes.

AMK Mapping 🇳🇿

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The bgm for this scene of holding an umbrella in the snow is “The Return Line of Love” (爱的回归线), a song both of them have sung before! The song’s meaning is that even if people part ways, true love, like a planet, follows its orbit and can return to the same point - the “return line.” It’s a metaphor for destiny, second chances, and the belief that everything happens in its own time. One beautiful line from the lyrics goes: “There are so many people in the world, yet I met you.”
0:27

The bgm for this scene of holding an umbrella in the snow is “The Return Line of Love” (爱的回归线), a song both of them have sung before! The song’s meaning is that even if people part ways, true love, like a planet, follows its orbit and can return to the same point - the “return line.” It’s a metaphor for destiny, second chances, and the belief that everything happens in its own time. One beautiful line from the lyrics goes: “There are so many people in the world, yet I met you.”

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7/8 Two monkeys tried to challenge Shikano today. The monkey that challenged Miyakoshi yesterday seems to be the same one. One of the older monkeys tried to warn the younger one, but the youngster even touched Shikano's shoes! In the end, they calmed down and left Shikano alone. I wonder why they're behaving like this lately. Are they being curious, playful, or trying to test boundaries? Both dads must be careful with them . If shikano and miyakoshi don't have safty how punch can be eat peaceful in during mealtime ?.🤔 #ichikawazoo

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Situation on Aleppo, Raqqa & Hasakah [2/2/2026]: On 30 January, a definitive ceasefire was agreed following an agreement reached between the Syrian Transitional Government & the Syrian Democratic Forces for the gradual political and military integration of the SDF. Among the points agreed upon, it is worth noting the limited deployment of MOI forces on the "line of separation" between the SDF/YPG and the STG, which have withdrawn from much of the front line. There will also be a limited deployment of the MOI in the cities of Qamishli, Hasakah and Kobani, as well as at the Sweidiyeh oil wells and border posts. In exchange, the SDF will create four positions that will be incorporated into the Damascus military apparatus, both directly and indirectly, as well as decision-making powers for the SDF in the governorate of Hasakah, which could be considered a form of autonomy alongside the rights promised to the Kurds two weeks ago. During the early afternoon of today, MOI forces began their coordinated deployment with Asayish forces in Hasakah and Kobani for the time being.
0:08

Situation on Aleppo, Raqqa & Hasakah [2/2/2026]: On 30 January, a definitive ceasefire was agreed following an agreement reached between the Syrian Transitional Government & the Syrian Democratic Forces for the gradual political and military integration of the SDF. Among the points agreed upon, it is worth noting the limited deployment of MOI forces on the "line of separation" between the SDF/YPG and the STG, which have withdrawn from much of the front line. There will also be a limited deployment of the MOI in the cities of Qamishli, Hasakah and Kobani, as well as at the Sweidiyeh oil wells and border posts. In exchange, the SDF will create four positions that will be incorporated into the Damascus military apparatus, both directly and indirectly, as well as decision-making powers for the SDF in the governorate of Hasakah, which could be considered a form of autonomy alongside the rights promised to the Kurds two weeks ago. During the early afternoon of today, MOI forces began their coordinated deployment with Asayish forces in Hasakah and Kobani for the time being.

@Suriyak

17,031 görüntüleme • 6 ay önce

External cues can be capped at times, especially since there are only so many points on the field we can tell hitters to hit the ball to. So, since we know they're king 👑what's another way we can implement them? Everyone has hit two seams off of the tee before with the thought of hitting the inside seam, but we can also hit the outside seam and achieve some cool results. Watch how Marcus gets pushy and hits the ball 18 inches in front of the plate at 100 EV with topspin. When we switch focus to the outside seam, he rotates behind the ball and catches it deeper allowing him to create backspin and launch pull side at 104.5 🔥 Christian Leone
0:36

External cues can be capped at times, especially since there are only so many points on the field we can tell hitters to hit the ball to. So, since we know they're king 👑what's another way we can implement them? Everyone has hit two seams off of the tee before with the thought of hitting the inside seam, but we can also hit the outside seam and achieve some cool results. Watch how Marcus gets pushy and hits the ball 18 inches in front of the plate at 100 EV with topspin. When we switch focus to the outside seam, he rotates behind the ball and catches it deeper allowing him to create backspin and launch pull side at 104.5 🔥 Christian Leone

Driveline Baseball

14,773 görüntüleme • 1 yıl önce

😥 Sorry for the late update on the progress of our fishing ground development: Currently, 80% of the functions have been completed, and some values need to be adjusted repeatedly.🙏 Regarding the introduction of the fishing ground, we can reveal a few points:👇 1️⃣You can use flt to buy fish treasure chests, and after opening them, you can get different types of fish. 2️⃣There are different levels of shared fish ponds for the entire server. The higher the level of the fish pond, the more resources it produces. 3️⃣After you get the fish, you can put them in the fish pond. The fewer fish in the pond, the more resources each fish can get. Conversely, the more fish in the pond, the fewer resources are allocated to each fish. 4️⃣You need to synthesize your fish (only fish of the same species can be synthesized) in order to put them in the higher-level fish pond. At the same time, the stronger your fish, the more resources you will get. 5️⃣Of course, raising fish is not completely risk-free. When the number of fish in the pond reaches a certain level, you will be able to fish. The more fish in the pond, the higher the probability of being caught. 6️⃣You can also strengthen your fishing rod to increase your chances of catching fish.
0:12

😥 Sorry for the late update on the progress of our fishing ground development: Currently, 80% of the functions have been completed, and some values need to be adjusted repeatedly.🙏 Regarding the introduction of the fishing ground, we can reveal a few points:👇 1️⃣You can use flt to buy fish treasure chests, and after opening them, you can get different types of fish. 2️⃣There are different levels of shared fish ponds for the entire server. The higher the level of the fish pond, the more resources it produces. 3️⃣After you get the fish, you can put them in the fish pond. The fewer fish in the pond, the more resources each fish can get. Conversely, the more fish in the pond, the fewer resources are allocated to each fish. 4️⃣You need to synthesize your fish (only fish of the same species can be synthesized) in order to put them in the higher-level fish pond. At the same time, the stronger your fish, the more resources you will get. 5️⃣Of course, raising fish is not completely risk-free. When the number of fish in the pond reaches a certain level, you will be able to fish. The more fish in the pond, the higher the probability of being caught. 6️⃣You can also strengthen your fishing rod to increase your chances of catching fish.

World Of Fairy Game

10,041 görüntüleme • 2 yıl önce

Only Tribalism can save the West Ironically, it’s going to be the same concept that destroys it As we “progress” through time you’ll see Pagans vs Christians, Christians vs Pagans But no two Pagans or Christians agree 100% with each other Even they will destroy each other Now is the time to develop your Tribe and make alliances Now is the time to prepare for the Modern Fall of Rome The only Tribes that survive will be those whose God or Gods is on their side Out of this darkness and desolation those Tribes who remain will build again And thus, a New Cycle will begin of Humanity will begin
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Only Tribalism can save the West Ironically, it’s going to be the same concept that destroys it As we “progress” through time you’ll see Pagans vs Christians, Christians vs Pagans But no two Pagans or Christians agree 100% with each other Even they will destroy each other Now is the time to develop your Tribe and make alliances Now is the time to prepare for the Modern Fall of Rome The only Tribes that survive will be those whose God or Gods is on their side Out of this darkness and desolation those Tribes who remain will build again And thus, a New Cycle will begin of Humanity will begin

Christian Ascania

10,869 görüntüleme • 8 ay önce

Dear Ashwini Vaishnaw ji, We are so happy that you are relaunching the IRCTC website in 30 days. Instead of working on CAPCHA, please ensure the following: 1. The Site should not crash during Tatkal bookings. Zero crashes especially during payments. 2. Ensure that Senior Citizens get Lower Berths (even now, many Senior citizens get Middle or Upper) even if they book a little later (Algorithm can be fixed) 3. Introduce More General Coaches to accommodate more Travelers 4. Strict Penalty for Unreserved Passengers occupying Reserved Seats. Work on AI cameras to detect this 5. RAC passengers should only pay half the fare for half the seat. So, once chart is prepared, please refund the 50% fare. This can easily be incorporated using simple technology. 6. If any train is delayed for more than 2 hours, refund should be issued automatically. 10% per hour delay. This can be done with some technology. 7. People's time should be valued. Tech can be used for the same. CAPCHA can wait. These things cannot !!! Request my audience to add more points so that the new website can have all these things in next 30 days 😍 #FI
0:16

Dear Ashwini Vaishnaw ji, We are so happy that you are relaunching the IRCTC website in 30 days. Instead of working on CAPCHA, please ensure the following: 1. The Site should not crash during Tatkal bookings. Zero crashes especially during payments. 2. Ensure that Senior Citizens get Lower Berths (even now, many Senior citizens get Middle or Upper) even if they book a little later (Algorithm can be fixed) 3. Introduce More General Coaches to accommodate more Travelers 4. Strict Penalty for Unreserved Passengers occupying Reserved Seats. Work on AI cameras to detect this 5. RAC passengers should only pay half the fare for half the seat. So, once chart is prepared, please refund the 50% fare. This can easily be incorporated using simple technology. 6. If any train is delayed for more than 2 hours, refund should be issued automatically. 10% per hour delay. This can be done with some technology. 7. People's time should be valued. Tech can be used for the same. CAPCHA can wait. These things cannot !!! Request my audience to add more points so that the new website can have all these things in next 30 days 😍 #FI

Fundamental Investor ™ 🇮🇳

30,229 görüntüleme • 1 ay önce

Enerhodar. We have recorded from Nikopol that the Russian occupiers have started a fire on the territory of the Zaporizhzhia Nuclear Power Plant. Currently, radiation levels are within norm. However, as long as the Russian terrorists maintain control over the nuclear plant, the situation is not and cannot be normal. Since the first day of its seizure, Russia has been using the Zaporizhzhia NPP only to blackmail Ukraine, all of Europe, and the world. We are waiting for the world to react, waiting for the IAEA to react. Russia must be held accountable for this. Only Ukrainian control over the Zaporizhzhia NPP can guarantee a return to normalcy and complete safety.
0:19

Enerhodar. We have recorded from Nikopol that the Russian occupiers have started a fire on the territory of the Zaporizhzhia Nuclear Power Plant. Currently, radiation levels are within norm. However, as long as the Russian terrorists maintain control over the nuclear plant, the situation is not and cannot be normal. Since the first day of its seizure, Russia has been using the Zaporizhzhia NPP only to blackmail Ukraine, all of Europe, and the world. We are waiting for the world to react, waiting for the IAEA to react. Russia must be held accountable for this. Only Ukrainian control over the Zaporizhzhia NPP can guarantee a return to normalcy and complete safety.

Volodymyr Zelenskyy / Володимир Зеленський

5,691,955 görüntüleme • 2 yıl önce

Is there any real "due diligence" done by the 🅰️people? All of their points seem empty, vague, and very handwavy, at least that's the feeling I get. It seems to be confirmed when it comes down to the facts, they try to apply that same vague speculatory mindset they use regarding Starlink, arriving at a conclusion that always seems to be wrong. How many guesses have been propagated as truth? How many small differences have been exaggerated so large that they become the very core of their position? Probably a lot, because the trend I see is to take a kernel of truth and cover it with heavy layers of lies and speculation. I like what ASTS is doing, but the community makes it pretty hard to know what's actually significant, and the truth is, it's pretty hard to tell until both constellations are built and delivering data to customers. The issue is that most of them likely have a huge amount of money riding on the company, so they'll take anything and go with it solely for the comfort factor.
0:17

Is there any real "due diligence" done by the 🅰️people? All of their points seem empty, vague, and very handwavy, at least that's the feeling I get. It seems to be confirmed when it comes down to the facts, they try to apply that same vague speculatory mindset they use regarding Starlink, arriving at a conclusion that always seems to be wrong. How many guesses have been propagated as truth? How many small differences have been exaggerated so large that they become the very core of their position? Probably a lot, because the trend I see is to take a kernel of truth and cover it with heavy layers of lies and speculation. I like what ASTS is doing, but the community makes it pretty hard to know what's actually significant, and the truth is, it's pretty hard to tell until both constellations are built and delivering data to customers. The issue is that most of them likely have a huge amount of money riding on the company, so they'll take anything and go with it solely for the comfort factor.

highfrequencyhertz

25,984 görüntüleme • 2 ay önce

🚨 NOW: President Trump PUMMELS anti-Trump Geoff Duncan who became a Democrat to run for Georgia governor — only to lose by 50 POINTS! “It was a great time and success in Georgia on Tuesday night where Geoff Duncan, a failed Lieutenant Governor, and Disgrace to the Republican Party, ran for Governor, as a Democrat, and lost BIG — A solid 50 points!” “He wasn’t even close, and is now, I assume, officially out of Politics. He has now failed in two Parties. This guy was a LOSER from the first day I met him and now, we can call that official! President DONALD J. TRUMP” 👏🏻🔥🔥
0:14

🚨 NOW: President Trump PUMMELS anti-Trump Geoff Duncan who became a Democrat to run for Georgia governor — only to lose by 50 POINTS! “It was a great time and success in Georgia on Tuesday night where Geoff Duncan, a failed Lieutenant Governor, and Disgrace to the Republican Party, ran for Governor, as a Democrat, and lost BIG — A solid 50 points!” “He wasn’t even close, and is now, I assume, officially out of Politics. He has now failed in two Parties. This guy was a LOSER from the first day I met him and now, we can call that official! President DONALD J. TRUMP” 👏🏻🔥🔥

Eric Daugherty

37,725 görüntüleme • 2 ay önce

Unlocking Zero Point Energy. The Casimir effect is a spontaneous force which has potential applications as free source of energy. The effect can be manifesting as a repulsive tendency between two conductive plates in a vacuum environment or can be a phenomenon of attraction between the same plates. A number of characteristics determine the attraction or repellence. The current understanding of the Casimir effect is based on the interaction between the fluctuations in energy density of the vacuum and van der Waals forces at play. The vacuum is thought to be the primary driver in the dynamical effect while the van der Waals contributes to the attraction. Because the Casimir torque arise from the #quantum fluctuations of energy or, more precisely from the zero point energy of materials and their dependence on the boundary conditions of the electromagnetic fields, these kinetic forces can be tailored, this raises the intriguing possibility of exploiting it for free energy. 🔗
0:13

Unlocking Zero Point Energy. The Casimir effect is a spontaneous force which has potential applications as free source of energy. The effect can be manifesting as a repulsive tendency between two conductive plates in a vacuum environment or can be a phenomenon of attraction between the same plates. A number of characteristics determine the attraction or repellence. The current understanding of the Casimir effect is based on the interaction between the fluctuations in energy density of the vacuum and van der Waals forces at play. The vacuum is thought to be the primary driver in the dynamical effect while the van der Waals contributes to the attraction. Because the Casimir torque arise from the #quantum fluctuations of energy or, more precisely from the zero point energy of materials and their dependence on the boundary conditions of the electromagnetic fields, these kinetic forces can be tailored, this raises the intriguing possibility of exploiting it for free energy. 🔗

Maurizio Iβλἄ

23,552 görüntüleme • 1 yıl önce

Sidhu Moosewala called ‘T+errorist’ by policeman in Jharkhand, draws flak on social media; Video goes viral Jamshedpur police say inquiry initiated against the erring cop A video has gone viral on social media platform X in which a Jharkhand Police officer can be seen calling singer Sidhu Moosewala a ‘T+errorist’. The video, of Jharkhand’s capital Jamshedpur, shows a cop reprimanding two bike-borne men, for not wearing helmets. The bike, apparently, has a sticker of the deceased singer, seeing which, the cop calls him a ‘‘T+errorist’’. The cop can be seen saying, “And you consider him an idol, Sidhu Moosewala, who is a ‘T+errorist’. Second, you both don’t have helmets,” to the two men.
0:10

Sidhu Moosewala called ‘T+errorist’ by policeman in Jharkhand, draws flak on social media; Video goes viral Jamshedpur police say inquiry initiated against the erring cop A video has gone viral on social media platform X in which a Jharkhand Police officer can be seen calling singer Sidhu Moosewala a ‘T+errorist’. The video, of Jharkhand’s capital Jamshedpur, shows a cop reprimanding two bike-borne men, for not wearing helmets. The bike, apparently, has a sticker of the deceased singer, seeing which, the cop calls him a ‘‘T+errorist’’. The cop can be seen saying, “And you consider him an idol, Sidhu Moosewala, who is a ‘T+errorist’. Second, you both don’t have helmets,” to the two men.

Gagandeep Singh

937,680 görüntüleme • 3 yıl önce

The Coromandel Express, traveling at a speed of 128Kmph, had the proper authorization to proceed through the mainline, indicated by a green signal. However, someone tampered with the settings and diverted the train to the loop line, where a 6000 tonnes goods train was parked, even though the signal for the mainline remained green. This should not be possible, as India has a robust and world-renowned interlocking system in place. It appears to be a deliberate act of manipulation, suggesting culpable homicide. Such an act cannot be carried out by an individual with no significant influence; rather, it points towards the involvement of major players orchestrating this sabotage. An investigation is imperative to uncover the truth behind this incident.
0:13

The Coromandel Express, traveling at a speed of 128Kmph, had the proper authorization to proceed through the mainline, indicated by a green signal. However, someone tampered with the settings and diverted the train to the loop line, where a 6000 tonnes goods train was parked, even though the signal for the mainline remained green. This should not be possible, as India has a robust and world-renowned interlocking system in place. It appears to be a deliberate act of manipulation, suggesting culpable homicide. Such an act cannot be carried out by an individual with no significant influence; rather, it points towards the involvement of major players orchestrating this sabotage. An investigation is imperative to uncover the truth behind this incident.

BALA

908,848 görüntüleme • 3 yıl önce