• Home
    • Contact
  • Chronology
    • Key of “23”
      • Prob. Analysis of 23×2
      • Prob. Analysis of 230×2
    • Sumerian King List
    • 490d.com
      • 4900 yrs
    • 7/13 Redemptive Thread
    • 70 jub to 2017 solar eclipse
      • Pt 2 of 70 jub to 2017 eclipse & Mecca
        • Pt 3: 2027 & 2034 Egypt, Mecca, Medina Solar Eclipse
      • Daniel’s 490 (“70 weeks”) in mirror
      • “The Year from Hell” 536 AD
      • Woe! Sign of Two Witnesses of Rev.
    • 70 jub to 2024 eclipse
      • Hur Harvey (Bill, Hillary, Don)
      • Bible Fractal Rod & Eagle: (Hur. Irma)
      • Hurr. Harvey/Irma form serpent
      • Hurri. Mary/Joseph
    • Vast ages in Bible (Tetrads)
      • Sumerian King List
      • Part 1. Mene Tekel – gods judged!
    • ‘Parade of planets’ at Christ’s ascension
    • “Shmita” -One new Man-
    • 7-yr Sabbath cycles
      • “62 weeks” of Dan. 9 & 1948
      • Daniel’s “70 weeks” in mirror
    • Jesus our Sabbath
    • Ezekiel Code of conception
      • Ezekiel Code unto 1948 & 1967
      • Webb Telescope: 7x more “light”
    • Timeline-charts from Creation
      • Life of Abraham structured like Menorah
      • Mystery of “17” in Bible
  • Enoch
    • 364-days cal. of Enoch
    • Bk of Enoch Fractal
    • 2. Is Book of Enoch Inspired?
      • River of Time flows backward. (Waterfall of Raphael)
        • Video: “Morning Star” grazes rebel-star “Atlas”
        • Video: Sign of Comet Atlas, “Chief of Titans”
      • Hurr. Michael
        • Hur. Fiona & Ian on Tabernacles
      • California Fires (Paradise)
        • Fires of California/Lebanon: “No more delay”
    • 3. Enoch’s 7 cycles of 490
      • “364-day” Dead Sea Scroll opened
      • 490 days to Hurricane Michael & Paradise Fire
      • Prophecy in Charts: Jesus is our Sabbath Rest
    • 4. 364-day Enoch-cal.
      • Part Two: How lunar calendars work
      • Alternative intercalations of 364-day cal.
    • 5a. Enoch Cal. & π
      • Hurricane Dorian, the Eye of Pi & Sun/Moon
        • Typhoon “Northern Crown” & New Zealand Volcano
        • 49th New York Marathon — We win!
      • 5b. Mystery of “the Sq-root”
        • Sign of 2019 Christmas Eclipse (from Jerusalem)
          • “The Down Under” is on fire (Australia)
            • Why delay in posting
    • 363-day Palendromic Calendar of Angels & Sumerian Kings List
    • Enoch Cal. & Feast of Tabernacles
  • Fractals
    • Pt.1. Wings-of-an-eagle fractal & Typhoon “Eagle”
      • Cocoon/Moth Fractal = death & resurrection
    • Daniel’s 490 (“70 weeks”) in mirror
    • Early Bible Fractals
    • Fractal, Prophetic Map, Enoch/Angels
    • Christobrot Fractal: Lamb on Throne
    • Christobrot Fractal. We begin at the altar
      • California Quakes
      • a. The Vision of Jesus Christ (& Sign of Trump)
        • b. The Vision of Jesus Christ: The Lamb
    • Miraculous Bible fractals?
    • Woman, Dragon & Mystery Babylon
  • Names Code
    • Each name explained
    • Palindrome Prophecy about AI
      • Gematria of Palindrome 4 AI
    • Cain’s Seed Parallel to Godly Seed Forms Flag-Israel
  • Fallen!
    • 1st sign (1 of 14). Evil star beneath “Seven Sisters”
      • 2nd sign: ANAK’ Krakatoa: The ‘GIANT’ kills 400
      • 3rd Sign: Osiris, Bennu and Bush. AND, China in deepest pit
      • 4th sign: Locust Invasion of Mecca
      • 5A. Meteorite hits moon exact minute of 2019 eclipse
        • Trump Super Blood Wolf Moon Eclipse
        • 5B. New York’s Tower of Babel lit bloody-pink to defy God
      • 6. Dam bursts in Minas Gerais, Brazil
      • 7. Rare powerful F4 tornado strikes capital of Cuba 7 days after eclipse
      • 8. Meteor strikes Cuba at mountain-mural of dragons & giants
      • 9. North Magnetic Pole anomaly adjusted 19th anniversary of Tekel Code
      • 10- Signs” occurred per number Babylon assigned to each god!
      • 11- RCC, Persia, Turkey, & the 52 Russian bears
      • 12- Resurrection! Mountain clothed with butterflies
      • 13A. Star of Isis darkened, serpent ascends
        • 13B. Isis, Brightest Star in Night Sky, Goes Dark
        • 13C/D. Ishtar (Venus) gored by her own horns
          • Easter bombings at Sri Lanka: “A red horse”
          • Norte Dame Fire (“Our Lady” and the Queen of Heaven)
        • 13E. Rise and fall of the Dung god
      • 14. Bible, Israel go to Moon & Dragon’s Palace
        • Update: Final 7 days around Moon/Jericho by Israel
        • Like a falling star, Israel crashed on Moon, but HOPE at “13350 meters”
      • 15. “Prince of the power of the air” includes moon
      • 16. Severe tornado topples Tower of Salem (23 die)
      • 17. Trump recognizes Golan Heights, which includes Mt Hermon
      • 18. Drill for water in Antarctica, but find serpent instead
      • 19. “Until 70 generations in the valleys of Earth” (Enoch 10:12)
      • 21A. Code predicted deaths of Yitzchak Kaduri, Sharon, Saddam & Bush
        • 21B. Part B of Yitzchak Kaduri, Sharon, Saddam and Bush
      • 22. Drought ends after 1260+1260dys in California, & Israel, Iran
      • 23. Norte Dame Fire (“Our Lady” and the Queen of Heaven)
      • 24. Easter bombings at Sri Lanka: “A red horse”
      • 25. Cyclone Fani sits on his chariot and a cobra on the loose
      • 26. Mystery Mountain rising beneath the sea
      • 27. Record stretch of tornadoes (“and an earthquake”): Update
        • Jefferson City tornado outbreak: A sign
      • 28. Day-of-Atonement Comet is a sword/sickle in Virgo’s hand
      • Two solar eclipses across USA intersect
        • Why 2019 Total Solar Eclipse forms dome over Antarctica
        • Sign of 2019 Christmas Ring of Fire (that began in Jerusalem)
      • Powerful 7.5 Magnitude Quake Hits Papua New Guinea
      • Why the Star Trek logo was found on Mars
      • Wolf Comet and Scepter of Jacob
      • Sign of comet/sword slaying multitudes
        • Mercury: Sign of Armageddon, (Isis prophecy fulfilled AGAIN)
        • Angry dragon descends from a dome-shaped heavens
      • Sign of 2019 Christmas Ring of Fire (that began in Jerusalem)
      • Why “Down Under” is on fire (Australia)
        • Put on the Armour of Light, (fires in Australia)
      • Prince of Persia (Iran) is fallen
      • Corona-virus & Doomsday Clock set to 100 seconds to MD
      • 02/02/2020: Rare ‘palindrome day’ (& financial quake)
      • Dow and TSX enter Bear Market as predicted by Prophetic Picture
        • DOW JONES CLOSES DOWN 9.99%
      • Notre-Dame Fire and the Double-Slit experiment
        • Real reason Olympics cancelled. Jesus won the contest. He wears the crown
      • House passes 2.2 trillion Relief Bill — exactly “seventy weeks” after prophetic post
        • Why “2.3 Trillion Fed Bailout”
      • A pale horse
      • Who are the Guardians of the Galaxy?
      • “2020 Christmas Star” & the Great Planetary Alignment when Noah died
      • Atomic blast mistakenly seen from CN Tower as meteor soars over New York
      • Dream about “3910 years to Moses”, and more
      • The sign of hurricane Eta and Iota
        • Wrath of Hurricane Eta and Iota, Portent for America
      • Trump is a twig carried away on the waters
        • Corona-Trump and Book of Jubilees
      • 7.0 earthquake at location of the 7 churches of Revelation
      • Important addition to previous post about Alpha
      • Storm “ALPHA” forms at “BEGINNING” of Jewish New Year (& Supreme Ct. Judge dies)
      • Hurricane ‘Delta’ — A ‘doorway’ opens
      • The bright fireball — It’s about where and when
        • Where have all the hurricanes gone?
      • Hurricane Sally and 7 storms in the Atlantic
      • Hurricane Laura: The Victory Lap
      • “The saints will be handed over for a time” (Rev. 13:7)
      • Comet SWAN ascends gracefully as Titan ATLAS falls
      • Secret: ‘Head-over-heels’ in love
      • Video: Sign of ‘the rising beast’ of Rev. 13
        • Sign of ‘the rising beast’ of Rev. 13, now seen in the heavens
    • Notre-Dame Fire and the Double-Slit experiment
    • Part 2. Mene Tekel Upharsin: The gods are judged!
      • Part 3. Mene Tekel Upharsin: The gods are judged!
        • (Intro) Bible Project’s video: “Spiritual Beings”
    • Trump (King Saul?)
      • (Pt. 1) Donald Trump’s Weather Disasters
        • (Pt. 2) U.S. Pattern of Disasters Revealed Beforehand
        • Donald Trump & King Saul — Same Inauguration Sign
        • Hurricane Harvey (And Bill, Hillary, and Don)
        • Fall of Isis revealed beforehand, and when
      • 2019-Trump Super Wolf Blood Moon
        • Update on “The Wolf Comet & the Scepter of Jacob”
      • Trump hangs in the balance
        • 2a. The Vision of the Lamb
        • 2b. Vision of the Lamb: “Take the beam out of your own eye”
      • Trump & Biden found wanting
      • “The saints will be handed over for a time” (Rev. 13:7)
      • Trump is a twig drifting away
        • Storm “ALPHA” forms at “BEGINNING” of Jewish New Year (& Supreme Ct. Judge dies)
        • Where have all the hurricanes gone?
        • CN Tower meteor soars over New York
        • The bright fireball — It’s about where and when
      • Plague of the ‘Donald Trump Delusion’
      • Recommended Political Video
      • Trump Peace Treaty
        • Video on Trump Peace Plan — Why 666?
        • Why Peace Plan is 3.5 days before Feast of Trumpets
        • Trump Peace Treaty, Iran, 666, & ’70 x 7′
        • Corona-Trump and Book of Jubilees
      • Trump recognizes Golan Heights, which includes Mt Hermon
      • Trump’s trick or tweet on Halloween
    • Ishtar worshiped at Commonwealth Games
      • Death of Queen Elizabeth
    • Curse tablet of Mt. Ebal
    • Roe v. Wade overthrown. Sign in heaven
  • Home
    • Contact
  • Chronology
    • Key of “23”
      • Prob. Analysis of 23×2
      • Prob. Analysis of 230×2
    • Sumerian King List
    • 490d.com
      • 4900 yrs
    • 7/13 Redemptive Thread
    • 70 jub to 2017 solar eclipse
      • Pt 2 of 70 jub to 2017 eclipse & Mecca
        • Pt 3: 2027 & 2034 Egypt, Mecca, Medina Solar Eclipse
      • Daniel’s 490 (“70 weeks”) in mirror
      • “The Year from Hell” 536 AD
      • Woe! Sign of Two Witnesses of Rev.
    • 70 jub to 2024 eclipse
      • Hur Harvey (Bill, Hillary, Don)
      • Bible Fractal Rod & Eagle: (Hur. Irma)
      • Hurr. Harvey/Irma form serpent
      • Hurri. Mary/Joseph
    • Vast ages in Bible (Tetrads)
      • Sumerian King List
      • Part 1. Mene Tekel – gods judged!
    • ‘Parade of planets’ at Christ’s ascension
    • “Shmita” -One new Man-
    • 7-yr Sabbath cycles
      • “62 weeks” of Dan. 9 & 1948
      • Daniel’s “70 weeks” in mirror
    • Jesus our Sabbath
    • Ezekiel Code of conception
      • Ezekiel Code unto 1948 & 1967
      • Webb Telescope: 7x more “light”
    • Timeline-charts from Creation
      • Life of Abraham structured like Menorah
      • Mystery of “17” in Bible
  • Enoch
    • 364-days cal. of Enoch
    • Bk of Enoch Fractal
    • 2. Is Book of Enoch Inspired?
      • River of Time flows backward. (Waterfall of Raphael)
        • Video: “Morning Star” grazes rebel-star “Atlas”
        • Video: Sign of Comet Atlas, “Chief of Titans”
      • Hurr. Michael
        • Hur. Fiona & Ian on Tabernacles
      • California Fires (Paradise)
        • Fires of California/Lebanon: “No more delay”
    • 3. Enoch’s 7 cycles of 490
      • “364-day” Dead Sea Scroll opened
      • 490 days to Hurricane Michael & Paradise Fire
      • Prophecy in Charts: Jesus is our Sabbath Rest
    • 4. 364-day Enoch-cal.
      • Part Two: How lunar calendars work
      • Alternative intercalations of 364-day cal.
    • 5a. Enoch Cal. & π
      • Hurricane Dorian, the Eye of Pi & Sun/Moon
        • Typhoon “Northern Crown” & New Zealand Volcano
        • 49th New York Marathon — We win!
      • 5b. Mystery of “the Sq-root”
        • Sign of 2019 Christmas Eclipse (from Jerusalem)
          • “The Down Under” is on fire (Australia)
            • Why delay in posting
    • 363-day Palendromic Calendar of Angels & Sumerian Kings List
    • Enoch Cal. & Feast of Tabernacles
  • Fractals
    • Pt.1. Wings-of-an-eagle fractal & Typhoon “Eagle”
      • Cocoon/Moth Fractal = death & resurrection
    • Daniel’s 490 (“70 weeks”) in mirror
    • Early Bible Fractals
    • Fractal, Prophetic Map, Enoch/Angels
    • Christobrot Fractal: Lamb on Throne
    • Christobrot Fractal. We begin at the altar
      • California Quakes
      • a. The Vision of Jesus Christ (& Sign of Trump)
        • b. The Vision of Jesus Christ: The Lamb
    • Miraculous Bible fractals?
    • Woman, Dragon & Mystery Babylon
  • Names Code
    • Each name explained
    • Palindrome Prophecy about AI
      • Gematria of Palindrome 4 AI
    • Cain’s Seed Parallel to Godly Seed Forms Flag-Israel
  • Fallen!
    • 1st sign (1 of 14). Evil star beneath “Seven Sisters”
      • 2nd sign: ANAK’ Krakatoa: The ‘GIANT’ kills 400
      • 3rd Sign: Osiris, Bennu and Bush. AND, China in deepest pit
      • 4th sign: Locust Invasion of Mecca
      • 5A. Meteorite hits moon exact minute of 2019 eclipse
        • Trump Super Blood Wolf Moon Eclipse
        • 5B. New York’s Tower of Babel lit bloody-pink to defy God
      • 6. Dam bursts in Minas Gerais, Brazil
      • 7. Rare powerful F4 tornado strikes capital of Cuba 7 days after eclipse
      • 8. Meteor strikes Cuba at mountain-mural of dragons & giants
      • 9. North Magnetic Pole anomaly adjusted 19th anniversary of Tekel Code
      • 10- Signs” occurred per number Babylon assigned to each god!
      • 11- RCC, Persia, Turkey, & the 52 Russian bears
      • 12- Resurrection! Mountain clothed with butterflies
      • 13A. Star of Isis darkened, serpent ascends
        • 13B. Isis, Brightest Star in Night Sky, Goes Dark
        • 13C/D. Ishtar (Venus) gored by her own horns
          • Easter bombings at Sri Lanka: “A red horse”
          • Norte Dame Fire (“Our Lady” and the Queen of Heaven)
        • 13E. Rise and fall of the Dung god
      • 14. Bible, Israel go to Moon & Dragon’s Palace
        • Update: Final 7 days around Moon/Jericho by Israel
        • Like a falling star, Israel crashed on Moon, but HOPE at “13350 meters”
      • 15. “Prince of the power of the air” includes moon
      • 16. Severe tornado topples Tower of Salem (23 die)
      • 17. Trump recognizes Golan Heights, which includes Mt Hermon
      • 18. Drill for water in Antarctica, but find serpent instead
      • 19. “Until 70 generations in the valleys of Earth” (Enoch 10:12)
      • 21A. Code predicted deaths of Yitzchak Kaduri, Sharon, Saddam & Bush
        • 21B. Part B of Yitzchak Kaduri, Sharon, Saddam and Bush
      • 22. Drought ends after 1260+1260dys in California, & Israel, Iran
      • 23. Norte Dame Fire (“Our Lady” and the Queen of Heaven)
      • 24. Easter bombings at Sri Lanka: “A red horse”
      • 25. Cyclone Fani sits on his chariot and a cobra on the loose
      • 26. Mystery Mountain rising beneath the sea
      • 27. Record stretch of tornadoes (“and an earthquake”): Update
        • Jefferson City tornado outbreak: A sign
      • 28. Day-of-Atonement Comet is a sword/sickle in Virgo’s hand
      • Two solar eclipses across USA intersect
        • Why 2019 Total Solar Eclipse forms dome over Antarctica
        • Sign of 2019 Christmas Ring of Fire (that began in Jerusalem)
      • Powerful 7.5 Magnitude Quake Hits Papua New Guinea
      • Why the Star Trek logo was found on Mars
      • Wolf Comet and Scepter of Jacob
      • Sign of comet/sword slaying multitudes
        • Mercury: Sign of Armageddon, (Isis prophecy fulfilled AGAIN)
        • Angry dragon descends from a dome-shaped heavens
      • Sign of 2019 Christmas Ring of Fire (that began in Jerusalem)
      • Why “Down Under” is on fire (Australia)
        • Put on the Armour of Light, (fires in Australia)
      • Prince of Persia (Iran) is fallen
      • Corona-virus & Doomsday Clock set to 100 seconds to MD
      • 02/02/2020: Rare ‘palindrome day’ (& financial quake)
      • Dow and TSX enter Bear Market as predicted by Prophetic Picture
        • DOW JONES CLOSES DOWN 9.99%
      • Notre-Dame Fire and the Double-Slit experiment
        • Real reason Olympics cancelled. Jesus won the contest. He wears the crown
      • House passes 2.2 trillion Relief Bill — exactly “seventy weeks” after prophetic post
        • Why “2.3 Trillion Fed Bailout”
      • A pale horse
      • Who are the Guardians of the Galaxy?
      • “2020 Christmas Star” & the Great Planetary Alignment when Noah died
      • Atomic blast mistakenly seen from CN Tower as meteor soars over New York
      • Dream about “3910 years to Moses”, and more
      • The sign of hurricane Eta and Iota
        • Wrath of Hurricane Eta and Iota, Portent for America
      • Trump is a twig carried away on the waters
        • Corona-Trump and Book of Jubilees
      • 7.0 earthquake at location of the 7 churches of Revelation
      • Important addition to previous post about Alpha
      • Storm “ALPHA” forms at “BEGINNING” of Jewish New Year (& Supreme Ct. Judge dies)
      • Hurricane ‘Delta’ — A ‘doorway’ opens
      • The bright fireball — It’s about where and when
        • Where have all the hurricanes gone?
      • Hurricane Sally and 7 storms in the Atlantic
      • Hurricane Laura: The Victory Lap
      • “The saints will be handed over for a time” (Rev. 13:7)
      • Comet SWAN ascends gracefully as Titan ATLAS falls
      • Secret: ‘Head-over-heels’ in love
      • Video: Sign of ‘the rising beast’ of Rev. 13
        • Sign of ‘the rising beast’ of Rev. 13, now seen in the heavens
    • Notre-Dame Fire and the Double-Slit experiment
    • Part 2. Mene Tekel Upharsin: The gods are judged!
      • Part 3. Mene Tekel Upharsin: The gods are judged!
        • (Intro) Bible Project’s video: “Spiritual Beings”
    • Trump (King Saul?)
      • (Pt. 1) Donald Trump’s Weather Disasters
        • (Pt. 2) U.S. Pattern of Disasters Revealed Beforehand
        • Donald Trump & King Saul — Same Inauguration Sign
        • Hurricane Harvey (And Bill, Hillary, and Don)
        • Fall of Isis revealed beforehand, and when
      • 2019-Trump Super Wolf Blood Moon
        • Update on “The Wolf Comet & the Scepter of Jacob”
      • Trump hangs in the balance
        • 2a. The Vision of the Lamb
        • 2b. Vision of the Lamb: “Take the beam out of your own eye”
      • Trump & Biden found wanting
      • “The saints will be handed over for a time” (Rev. 13:7)
      • Trump is a twig drifting away
        • Storm “ALPHA” forms at “BEGINNING” of Jewish New Year (& Supreme Ct. Judge dies)
        • Where have all the hurricanes gone?
        • CN Tower meteor soars over New York
        • The bright fireball — It’s about where and when
      • Plague of the ‘Donald Trump Delusion’
      • Recommended Political Video
      • Trump Peace Treaty
        • Video on Trump Peace Plan — Why 666?
        • Why Peace Plan is 3.5 days before Feast of Trumpets
        • Trump Peace Treaty, Iran, 666, & ’70 x 7′
        • Corona-Trump and Book of Jubilees
      • Trump recognizes Golan Heights, which includes Mt Hermon
      • Trump’s trick or tweet on Halloween
    • Ishtar worshiped at Commonwealth Games
      • Death of Queen Elizabeth
    • Curse tablet of Mt. Ebal
    • Roe v. Wade overthrown. Sign in heaven

No Widgets found in the Sidebar Alt!

  • Protected: Video: “Morning Star” grazes rebel-star “Atlas” & Comet Atlas in sky & Typhoon on earth

    April 6, 2020 / Enter your password to view comments.

    There is no excerpt because this is a protected post.

    Read More
    Dean Coombs

    You May Also Like

    Protected: Powerful 7.5 Magnitude Quake Hits Papua New Guinea

    May 15, 2019

    Protected: 12. Resurrection! Mountain clothed with butterflies

    February 19, 2019

    Coronavirus and the Dragon image that foretold Stock Market crash

    March 14, 2020
  • The Numerical Tapestry of Redemption: Unveiling the 7 & 130 Connection
  • Why War in Israel began on the Last Day of the Festival of Tabernacles
  • Bowls of Wrath & the Recent Jewish Slaughter
  • X.AI & the Mark of the Beast
  • Quintuplet Prime Numbers are the Cornerstone of Every Number and Pattern
  • Turkey Earthquake & the Coming War of Magog
  • Protected: Trump & Biden are weighed in the balances
  • Protected: Hur. Fiona & Ian made landfall on Tabernacles (Enochian)
  • Protected: Death of Queen Elizabeth: What does it mean?
  • Protected: Ishtar & Tammuz worshiped at Burningham Commonwealth Games
  • Protected: Curse tablet discovered on Mt. Ebal is a fearful sign
  • How a ‘parade of planets’ accompanied Christ at His ascension
  • Update to previous “2025” post & “Asteroid Apophis”
  • Tom Horn’s book “2025” & Note added about Enoch’s 364 Cal.
  • Hubble Detects Single Star 1290 (10^7) Years Old — a record
  • Part 3. U.S.S.R. & the Great Bear of Russia
  • Part 2. U.S.S.R. & the Great Bear of Russia
  • Part 1. U.S.S.R. & the Great Bear of Russia
  • Why no recent posts
  • Update about Webb Telescope
  • Webb Telescope: God’s Christmas gift to mankind
  • Sign of the 12 missionaries who follow stars to freedom
  • Working on upcoming video
  • Third sign: Spirit (wind) forms an “Ear” over United States
  • As said: ‘Expect plagues from Two Witnesses’, Rev. 11
  • UN Erects Lion w. Eagles Wings of Daniel 7
  • “The Year from Hell” 536 AD & the Locust of Rev. 9
  • Woe! Sign of Two Witnesses of Revelation
  • Ezekiel Code unto 1948 & 1967 (Israel a nation; Jerusalem liberated)
  • Meaning of super-rare blood moon (Nov. 2021)
  • Why Egypt was just plagued with darkness, hail & scorpions
  • “Sabbath Rest” pattern from Adam to Christ (Exiles)
  • Ezekiel Code: “Can these bones live?”
  • Update to post about floods: Germany’s Political Shift
  • Prophecy in Charts: Jesus is our Sabbath Rest
  • Video: “Her child was caught up to his throne” fractal
  • As foretold 21 years ago, Name of God appears on Jerusalem temple wall
  • Newly Discovered “Swan” Comet C/2021 O3 (PANSTARRS)
  • Cocoon/Moth Fractal, symbolic of death & resurrection
Freely use any image from 1260d.com with a link back of acknowledgment. 2025 ©