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ð¢ðºðŒð·ð·ð¶ð¹ð» ððð ð²ð°ðŽ ð±ðšð¬ð±ð¶ð¶ðµð® [ð»ðð ðŸððð] ðªð¶ðµðªð¬ð¹ð» ðð ðºð¬ð¶ðŒð³ Be one, Become the wave One drop, One wave, One of us. Welcome, babies! Come and check in at Incheon âïž âââ ⊠âââ ⊠âââ ⊠âââ ð Period: 2026.8.26â9.1 â³Frequency: 100 times/day ð¡Display: 5:00 AM â 1:00 AM ðLocation:... show more
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![Love and Deepspace | Lingering Gaze â Trailer for the new 5-Star Interactive Memory series [Lingering Gaze] is now released! In spring's brilliance, his gaze lingers only on you. ââââââŸGiveawayâŸâââââ Follow Love and Deepspace and Repost for a chance to win $50 (5 winners) and Random Badge (5 winners) before Mar. 17. ð·From the update/5:00 A.M. on Mar. 11 to 4:59 A.M. on Mar. 23 (Server Time) The drop rate of the limited 5-Star Memories [Xavier: Romantic Afternoon], [Zayne: Heart Within Reach], and [Rafayel: Whispers] will go up drastically for a limited time. During this period, if you pull a 5-Star Memory, there's a 75% chance it will be one of these three. *After the event ends, the three event limited 5-Star Memories will not be obtainable through other means and will not enter the permanent Wish Pool, Xspace Echo. ð·TipsïŒ 1. The Wish Pool features a "Precise Wish" option. An event-exclusive 5-Star Memory is guaranteed within a specific number of pullsâif the 5-Star Memory you've obtained from the event pool is not the event-exclusive Memory, the next 5-Star Memory you obtain will be the event-exclusive one. If you've selected a Precise Wish, the event-exclusive one will be the one you selected. You can check more details in upcoming event announcements. 2. You can customize your Memory through [Renew], which can apply your in-game look to the Memory story. ðFor Asia Server (UTC+8) , the event starts after the update ðFor EU (UTC+2) & NA (UTC-7) Servers, the event starts on Mar. 11 at 5:00 AM â Download Now: â Love and Deepspace has been officially released! â Traversing Deepspace, Be With You. #LoveandDeepspace](https://image.24vids.com/tw-1765935478107488715/ext_tw_video_thumb/1765928532193193984/pu/img/EZoaE3C3d2lZk2Sa.jpg)
![Discrete Fourier Transform by hand âïž ~ 12 steps walkthrough below Here is a little-known secret about the DFT and the inverse DFT: it is just matrix multiplication in both directions, one the transpose of the other, exactly like the forward pass and backpropagation I drew in other examples. Goal: recover which cosine waves a signal is made of, using nothing but multiplication and addition. = 1. Given = Three signals written as sums of cosines, and a fourth, X, that we do not know yet. = 2. Frequency matrix F = Let us write the coefficients as a matrix. Each signal is a row, each frequency a column, so A = cos(w) + 2cos(2w) becomes [1, 2, 0, 0]. = 3. Sample the waves = We read the four cosine waves at ten discrete time points. That word "discrete" is the whole difference between this and the continuous transform. = 4. Cosine matrix W = Let us write those samples as a matrix: each frequency a row, each time point a column. = 5. Frequency to time = We multiply F by W. That combines the four cosine waves in the proportions F specifies, and the result T is the three signals as they would look in time. = 6. Transpose = Let us stand each signal up as a column. = 7. Time to frequency = We multiply W by that transpose. Every cell is the dot product of one signal with one cosine wave, which measures how much of that wave the signal contains. Zero means none of it. = 8. Scale = Let us multiply by 2/n, with n = 10. The projections come out five times too large, and this is the correction. = 9. Transpose back = We turn it back around, and it is F again, exactly. That is the check: the transform recovered the coefficients we started from. = 10. Now solve for X = Let us run the same multiplication on the one signal whose recipe we never knew. = 11. Scale = We divide by 5 again. = 12. Transpose back = And X reads [0, 0, 3, 2], which says X = 3cos(3w) + 2cos(4w). Note: I originally drew this to show that the DFT is a special case of a convolution layer, its filters fixed to sine and cosine waves rather than learned. No wonder, then, that a convolution layer free to learn its own filters can be trained to process signals. ðŸ Save this post!](https://image.24vids.com/tw-2096604730453577857/ext_tw_video_thumb/2096604718290120705/pu/img/Uxa9xebSM4EBcEzP.jpg)
![Discrete Fourier Transform by hand âïž ~ 12 steps walkthrough below Here is a little-known secret about the DFT and the inverse DFT: it is just matrix multiplication in both directions, one the transpose of the other, exactly like the forward pass and backpropagation I drew in other examples. Goal: recover which cosine waves a signal is made of, using nothing but multiplication and addition. = 1. Given = Three signals written as sums of cosines, and a fourth, X, that we do not know yet. = 2. Frequency matrix F = Let us write the coefficients as a matrix. Each signal is a row, each frequency a column, so A = cos(w) + 2cos(2w) becomes [1, 2, 0, 0]. = 3. Sample the waves = We read the four cosine waves at ten discrete time points. That word "discrete" is the whole difference between this and the continuous transform. = 4. Cosine matrix W = Let us write those samples as a matrix: each frequency a row, each time point a column. = 5. Frequency to time = We multiply F by W. That combines the four cosine waves in the proportions F specifies, and the result T is the three signals as they would look in time. = 6. Transpose = Let us stand each signal up as a column. = 7. Time to frequency = We multiply W by that transpose. Every cell is the dot product of one signal with one cosine wave, which measures how much of that wave the signal contains. Zero means none of it. = 8. Scale = Let us multiply by 2/n, with n = 10. The projections come out five times too large, and this is the correction. = 9. Transpose back = We turn it back around, and it is F again, exactly. That is the check: the transform recovered the coefficients we started from. = 10. Now solve for X = Let us run the same multiplication on the one signal whose recipe we never knew. = 11. Scale = We divide by 5 again. = 12. Transpose back = And X reads [0, 0, 3, 2], which says X = 3cos(3w) + 2cos(4w). Note: I originally drew this to show that the DFT is a special case of a convolution layer, its filters fixed to sine and cosine waves rather than learned. No wonder, then, that a convolution layer free to learn its own filters can be trained to process signals. ðŸ Save this post!](https://image.24vids.com/tw-2083194764485153128/ext_tw_video_thumb/2083194751193403393/pu/img/xPTCxxe0pHHx3B7I.jpg)
![Love and Deepspace | Event Preview ðThe 5-Star Limited Rate UP Pool [Edge of Continuum] will start soon. ðEvent Duration: From 05:00 on Sept. 25 to 04:59 on Oct. 9 (server time) ðEvent Details: 1. During the event, the drop rate of the event-limited Solar-Slot 5-Star Memory Pair [Zayne: Diviner's Hymn] & [Zayne: Diviner's Stillness] will go up drastically. During this period, if you pull a 5-Star Memory, there's a 50% chance it will be one of these two. 2. After the event ends, the two event-limited Memories will not be obtainable through other means and will not enter the permanent Wish Pool: Xspace Echo. ðAbout Wish Rules 1. All Limited Wish Pools share one pity system. A 5-Star Memory is guaranteed within a specific attempt of wishes. If the 5-Star Memory you've obtained from the Limited Wish Pool is not the event-limited Memory, you will obtain the event-limited Memory the next time you obtain a 5-Star Memory. 2. The pity count from the last Limited Wish Pool will be applied to this Limited Wish Pool, and the pity count in this Limited Wish Pool will also be applied to the upcoming Limited Wish Pool. 3. If you have already obtained one event-limited 5-Star Memory, your next event-limited Memory won't repeat. 4. Wish Gifts for this event: For the first 100 wishes, you can claim [Deepspace Wish: Limited*1] for every 10 wishes made. You can choose between [Zayne: Diviner's Hymn] and [Zayne: Diviner's Stillness] upon reaching 150 wishes. This means a maximum of 150 wishes guarantees two event-limited 5-Star Memories and unlocks the Companion [Zayne: God of Annihilation]. *The cumulative rewards are only available during this wish event. ðNew Packs During the event, the new [Evertime Pack] and [Eternity Pack] series, which include [Deepspace Wish: Limited] and other materials, will be available in Shop at special prices, up to 90% off. *Please check in-game for more details about the packs. âââ ðªOfficial Discord: #LoveandDeepspace #ZayneGodofAnnihilation #Zayne](https://image.24vids.com/tw-1969970584965750887/amplify_video_thumb/1969969646741913600/img/9KXhZV4uAHVE4BO7.jpg)
![Love and Deepspace | Event Preview ð©žThe 5-Star Limited Rate UP Pool [Where Silverwings Rest] will start soon. ð©žEvent Duration: From 05:00 on Dec. 2 to 04:59 on Dec. 16 (server time) ð©žEvent Details: 1. During the event, the drop rate of the event-limited Solar-Slot 5-Star Memory Pair [Sylus: Crimson Rapture] & [Sylus: Crimson Departure] will go up drastically. During this period, if you pull a 5-Star Memory, there's a 50% chance it will be one of these two. 2. After the event ends, the two event-limited Memories will not be obtainable through other means and will not enter the permanent Wish Pool: Xspace Echo. ð©žAbout Wish Rules 1. All Limited Wish Pools share one pity system. A 5-Star Memory is guaranteed within a specific attempt of wishes. If the 5-Star Memory you've obtained from the Limited Wish Pool is not the event-limited Memory, you will obtain the event-limited Memory the next time you obtain a 5-Star Memory. 2. The pity count from the last Limited Wish Pool will be applied to this Limited Wish Pool, and the pity count in this Limited Wish Pool will also be applied to the upcoming Limited Wish Pool. 3. If you have already obtained one event-limited 5-Star Memory, your next event-limited Memory won't repeat. 4. Wish Gifts for this event: For the first 100 wishes, you can claim [Deepspace Wish: Limited*1] for every 10 wishes made. You can choose between [Sylus: Crimson Rapture] and [Sylus: Crimson Departure] upon reaching 150 wishes. This means a maximum of 150 wishes guarantees two event-limited 5-Star Memories and unlocks the Companion [Sylus: Silverwing Fiend]. *The cumulative rewards are only available during this wish event. ð©žNew Packs During the event, the new [Soultrace Pack] and [Roseheart Pack] series, which include [Deepspace Wish: Limited] and other materials, will be available in Shop at special prices, up to 90% off. *Please check in-game for more details about the packs. âââ ðªOfficial Discord: #LoveandDeepspace #SylusSilverwingFiend #Sylus](https://image.24vids.com/tw-1994614089218494511/amplify_video_thumb/1994612727306952704/img/TSBlAVYDu5Vk3GSw.jpg)
!["The world falls, we fall together." Trailer of New 5-Star Memory Series [Tomorrow's Catch-22] Released! ð«Follow Love and Deepspace and Repost for a chance to win $50 (5 winners)! â ïžEvent Duration: 5:00 AM, Feb. 10 - 4:59 AM, Feb. 27 (Server Time) You can select three out of the five event-limited 5-Star Memories, [Xavier: Deluded Fiction], [Zayne: Immediate Disorder], [Rafayel: Extreme Dose], [Sylus: Innocent Birdcage], and [Caleb: Tainted Cuts]. The drop rate of the 3 Memories you selected will be significantly increased. If you obtain a 5-Star Memory in a wish, there's a 75% chance it will be one of the 3 Memories you selected. *Tips: 1. During the event, you can change your selected Memories at any time. If you obtain a 5-Star Memory in a wish, there's a 25% chance that it will be an unselected Memory or a permanent 5-Star Memory. 2. After the event ends, the five event-limited Memories will not be obtainable through other means and will not enter the permanent Wish Pool: Xspace Echo. 3. The wish event features the Precise Wish and a pity system. You can check more details in upcoming event announcements. â ïžLimited Gift: Cumulative Wish Rewards During the event, after making a certain number of Wishes, you can claim various rewards: Universal Facial [Silverblade Rhapsody], [Deepspace Wish: Limited Ã20], His [Memory-Themed Outfits], Limited Gift [Memory-Themed Hairstyle], and selectable Event-Limited 5-Star Memory. *The cumulative rewards are only available during this Wish event. â ïžLimited-Time Memory Growth Bonus During the event, you can claim various Upgrade and Ascension Materials by completing the growth tasks. When the event-limited Memories reach Rank 1, you can claim the [Special-Colored Memory-Themed Outfit] for the corresponding love interest. â ïžSpecial: Memory-Themed Outfit Bonus Each Original or Special-Colored Outfit Set includes a Memory-Themed Outfit and Facial. All can be used separately. *More content will be released with the version update. Please stay tuned! #LoveandDeepspace](https://image.24vids.com/tw-1887697911926108286/ext_tw_video_thumb/1887687089522974720/pu/img/cKGtzZQDsrAHj_mu.jpg)
