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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.

Keenan Crane

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269,183 views • 3 years ago •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!!

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

13,144 views • 1 year ago

Many Christians choose to break the covenant of circumcision even though the covenant should be everlasting, but at the same time, they say God will never flood the Earth again because He made a covenant and the rainbow is the sign. So why do people think they can break covenants, but God can't, even though the Bible is clear that God can withdraw judgment if there is repentance, and He can also withdraw a blessing if there is disobedience? Also, the promise might be for a certain Age or Aion. Life will not be destroyed entirely, the same as it was not destroyed during Noah's Flood. Everything points out that the Flood is a cyclical event, and being born again from water, or purification by water and baptism, is connected to the Flood.

Many Christians choose to break the covenant of circumcision even though the covenant should be everlasting, but at the same time, they say God will never flood the Earth again because He made a covenant and the rainbow is the sign. So why do people think they can break covenants, but God can't, even though the Bible is clear that God can withdraw judgment if there is repentance, and He can also withdraw a blessing if there is disobedience? Also, the promise might be for a certain Age or Aion. Life will not be destroyed entirely, the same as it was not destroyed during Noah's Flood. Everything points out that the Flood is a cyclical event, and being born again from water, or purification by water and baptism, is connected to the Flood.

Open Minded Approach

74,221 views • 1 month ago

Hey Paramount Tactical - Gary Melton can you please run the odds of you running into the last two people that spoke to Charlie one year apart in the exact same location, backdrop and you saying the same lines? Include the odds they'd even agree to talk to you in the first place. 🤣. The chances must be astronomical or you just lied about organising these interviews in advance?

Hey Paramount Tactical - Gary Melton can you please run the odds of you running into the last two people that spoke to Charlie one year apart in the exact same location, backdrop and you saying the same lines? Include the odds they'd even agree to talk to you in the first place. 🤣. The chances must be astronomical or you just lied about organising these interviews in advance?

Muppet Masher

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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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⚽️👇 Activity Instructions This is a switch of play rondo from This rondo is designed to develop quick and intelligent switches of play in possession. The game begins with a 3v1 in one area of the grid while two additional defenders are positioned to screen the central zone. Possession players must complete a set number of passes (e.g., 5) before attempting to switch play to the opposite side. Switches can be made in two ways - via the wide unopposed players for 1 point, or through the central zone for more points due to the difficulty and risk involved. This setup encourages decision-making, timing, and awareness of space and pressure. 🎨 Animation Created on The Tactics App

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The Coaches Zone

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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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John Mark Garcia

139,967 views • 2 months ago

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🦎

27,812 views • 1 year ago

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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Littlecorn🌽

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@Suriyak

17,031 views • 7 months ago

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

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 views • 1 year ago

😥 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.

😥 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 views • 2 years ago

Missing for Weeks: Cheetah Nirva, Ranthambore Tiger RBT-2512 and a Second Dispersing Tiger Who Will Answer if Poachers Have Struck Again in the Kuno Landscape? My concern has now grown after the mass-level poaching of leopards in the Shivpuri–Kuno landscape. The same alarm bells are ringing for female cheetah Nirva and the two tigers RBT-2512 that came from Ranthambore and another tiger that crossed the Chambal from Karauli towards Morena. Female cheetah Nirva has been missing for the last 25 days. At the same time, the male cub of Sultana T-107, RBT-2512, has also been missing for two months. In these two months, no Kuno forest staff has had a direct sighting of this tiger, nor have any scats or pugmarks been found. Prima facie, I suspect that this organised poaching network may have treated female cheetah Nirva and both these male tigers as a source of income and killed them. If this turns out to be the case, who will take responsibility? Will the officials responsible be punished, or will they also escape? I request the Rajasthan government to speak with the Madhya Pradesh government and immediately order an investigation into this matter. In the case of cheetah Nirva as well, shortcomings of the Kuno administration have come to light. When this female cheetah’s radio collar was already giving broken signals, why was it not replaced? The senior officer here has no control over his language. He addresses people who raise genuine demands as “dimagi naxals.” And this same officer, who daily sings his own praises, gets 4–5 papers to publish his self-glorification. Please consider it necessary to reply to all these points. #leopardkilling #poachersganginkuno #cheetahnirvamissing #kunonationalpark #bigcatprotection #ranthambhoretigerreserve

Missing for Weeks: Cheetah Nirva, Ranthambore Tiger RBT-2512 and a Second Dispersing Tiger Who Will Answer if Poachers Have Struck Again in the Kuno Landscape? My concern has now grown after the mass-level poaching of leopards in the Shivpuri–Kuno landscape. The same alarm bells are ringing for female cheetah Nirva and the two tigers RBT-2512 that came from Ranthambore and another tiger that crossed the Chambal from Karauli towards Morena. Female cheetah Nirva has been missing for the last 25 days. At the same time, the male cub of Sultana T-107, RBT-2512, has also been missing for two months. In these two months, no Kuno forest staff has had a direct sighting of this tiger, nor have any scats or pugmarks been found. Prima facie, I suspect that this organised poaching network may have treated female cheetah Nirva and both these male tigers as a source of income and killed them. If this turns out to be the case, who will take responsibility? Will the officials responsible be punished, or will they also escape? I request the Rajasthan government to speak with the Madhya Pradesh government and immediately order an investigation into this matter. In the case of cheetah Nirva as well, shortcomings of the Kuno administration have come to light. When this female cheetah’s radio collar was already giving broken signals, why was it not replaced? The senior officer here has no control over his language. He addresses people who raise genuine demands as “dimagi naxals.” And this same officer, who daily sings his own praises, gets 4–5 papers to publish his self-glorification. Please consider it necessary to reply to all these points. #leopardkilling #poachersganginkuno #cheetahnirvamissing #kunonationalpark #bigcatprotection #ranthambhoretigerreserve

Gaurrav bhrdwj

19,946 views • 28 days ago

🚨 BREAKING NEWS: China's President Xi Jinping just announced that China will be sending two Giant Pandas to the Atlanta Zoo—Ping Ping and Fuhuan. XI JINPING: "The giant panda has been an envoy of friendship between the Chinese and Americans. Here, I have a piece of good news. In a few days, two pandas, Ping Ping and Fuhuan will come to their new home in Zoo Atlanta and meet with the American people." You can see that President Trump was PUMPED UP to hear this news. 📷 John MacDougall, Getty

🚨 BREAKING NEWS: China's President Xi Jinping just announced that China will be sending two Giant Pandas to the Atlanta Zoo—Ping Ping and Fuhuan. XI JINPING: "The giant panda has been an envoy of friendship between the Chinese and Americans. Here, I have a piece of good news. In a few days, two pandas, Ping Ping and Fuhuan will come to their new home in Zoo Atlanta and meet with the American people." You can see that President Trump was PUMPED UP to hear this news. 📷 John MacDougall, Getty

Rudy W. Giuliani

55,411 views • 3 days ago

🚨 HUGE DEVELOPMENT: A poll just found that New Hampshire Gov. Kelly Ayotte (R) leads by +21 POINTS against the Democrat — the same state has a competitive US Senate race with John Sununu (R) vying to flip it from red to blue 🔴 Ayotte: 55% (+21) 🔵 Cinde Warmington: 34% Same poll: Sununu is even with the Democrat John Sununu is Trump-backed and an incredible candidate. This would be a sleeper flip! Hopefully Ayotte can help drag Sununu over the top. co/efficient | 9/9-11 | N=958LV

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Eric Daugherty

155,480 views • 12 days ago