Sara Roy

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.

𝔹𝕠𝕠𝕜𝕚𝕟𝕘 𝕥𝕣𝕒𝕧𝕖𝕝 𝕡𝕝𝕒𝕟𝕤 𝕔𝕒𝕟 𝕤𝕠𝕞𝕖𝕥𝕚𝕞𝕖𝕤 𝕝𝕖𝕒𝕕 𝕥𝕠 𝕤𝕞𝕒𝕝𝕝 𝕖𝕣𝕣𝕠𝕣𝕤, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕡𝕒𝕤𝕤𝕖𝕟𝕘𝕖𝕣 𝕟𝕒𝕞𝕖. 𝕀𝕗 𝕪𝕠𝕦'𝕧𝕖 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒 𝕥𝕚𝕔𝕜𝕖𝕥 𝕠𝕟 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕒𝕟𝕕 𝕟𝕠𝕥𝕚𝕔𝕖𝕕 𝕥𝕙𝕒𝕥 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕟𝕖𝕖𝕕𝕤 𝕥𝕠 𝕓𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕕 𝕠𝕣 𝕖𝕕𝕚𝕥𝕖𝕕, 𝕕𝕠𝕟'𝕥 𝕨𝕠𝕣𝕣𝕪—𝕥𝕙𝕖𝕣𝕖 𝕒𝕣𝕖 𝕨𝕒𝕪𝕤 𝕥𝕠 𝕒𝕕𝕕𝕣𝕖𝕤𝕤 𝕥𝕙𝕚𝕤 𝕚𝕤𝕤𝕦𝕖. ℍ𝕖𝕣𝕖'𝕤 𝕒 𝕔𝕠𝕞𝕡𝕣𝕖𝕙𝕖𝕟𝕤𝕚𝕧𝕖 𝕘𝕦𝕚𝕕𝕖 𝕥𝕠 𝕙𝕖𝕝𝕡 𝕪𝕠𝕦 𝕥𝕙𝕣𝕠𝕦𝕘𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤. 𝕀𝕗 𝕒𝕥 𝕒𝕟𝕪 𝕡𝕠𝕚𝕟𝕥 𝕪𝕠𝕦 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕒𝕝𝕨𝕒𝕪𝕤 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒'𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙.

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.
 

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚟𝚒𝚜𝚒𝚝 𝚝𝚑𝚎 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕣 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝚄𝚂𝙰 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚂𝚝𝚊𝚝𝚎𝚜 𝙾𝚃𝙰.

𝕀𝕗 𝕪𝕠𝕦 𝕗𝕚𝕟𝕕 𝕪𝕠𝕦𝕣𝕤𝕖𝕝𝕗 𝕟𝕖𝕖𝕕𝕚𝕟𝕘 𝕥𝕠 𝕞𝕒𝕜𝕖 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕥𝕙𝕖 𝕗𝕒𝕤𝕥𝕖𝕤𝕥 𝕨𝕒𝕪 𝕥𝕠 𝕕𝕠 𝕤𝕠 𝕚𝕤 𝕓𝕪 𝕔𝕠𝕟𝕥𝕒𝕔𝕥𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝕐𝕠𝕦 𝕔𝕒𝕟 𝕣𝕖𝕢𝕦𝕖𝕤𝕥 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕓𝕦𝕥 𝕚𝕥 𝕚𝕤 𝕘𝕖𝕟𝕖𝕣𝕒𝕝𝕝𝕪 𝕝𝕚𝕞𝕚𝕥𝕖𝕕 𝕥𝕠 𝕞𝕚𝕟𝕠𝕣 𝕔𝕠𝕣𝕣𝕖𝕔𝕥𝕚𝕠𝕟𝕤 (𝕝𝕚𝕜𝕖 𝕤𝕡𝕖𝕝𝕝𝕚𝕟𝕘 𝕖𝕣𝕣𝕠𝕣𝕤). 𝔽𝕦𝕝𝕝 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕤 𝕒𝕣𝕖 𝕦𝕤𝕦𝕒𝕝𝕝𝕪 𝕟𝕠𝕥 𝕡𝕖𝕣𝕞𝕚𝕥𝕥𝕖𝕕. 𝔽𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 +𝟙-𝟠𝟟𝟟-𝟟𝟟𝟞-𝟙𝟚𝟛𝟟. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕡𝕣𝕠𝕧𝕚𝕕𝕖 𝕘𝕦𝕚𝕕𝕒𝕟𝕔𝕖, 𝕒𝕟𝕕 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕞𝕒𝕪 𝕓𝕖 𝕣𝕖𝕢𝕦𝕚𝕣𝕖𝕕.

𝕃𝕠𝕔𝕒𝕥𝕖 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕦𝕟𝕕𝕖𝕣 "𝕄𝕒𝕟𝕒𝕘𝕖 𝕄𝕪 𝕋𝕣𝕚𝕡," 𝕚𝕟𝕡𝕦𝕥 𝕪𝕠𝕦𝕣 𝕣𝕖𝕤𝕖𝕣𝕧𝕒𝕥𝕚𝕠𝕟 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟, 𝕒𝕟𝕕 𝕔𝕙𝕠𝕠𝕤𝕖 𝕥𝕙𝕖 𝕗𝕝𝕚𝕘𝕙𝕥 ℕ𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕡𝕥𝕚𝕠𝕟  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 . 𝔼𝕟𝕤𝕦𝕣𝕖 𝕪𝕠𝕦 𝕤𝕖𝕥𝕥𝕝𝕖 𝕒𝕟𝕪 𝕣𝕖𝕝𝕖𝕧𝕒𝕟𝕥 ℕ𝕒𝕞𝕖 𝕒𝕕𝕛𝕦𝕤𝕥𝕞𝕖𝕟𝕥 𝕔𝕙𝕒𝕣𝕘𝕖𝕤 𝕒𝕟𝕕 𝕒𝕨𝕒𝕚𝕥 𝕔𝕠𝕟𝕗𝕚𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕗𝕣𝕠𝕞 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕦𝕡𝕠𝕟 𝕔𝕠𝕞𝕡𝕝𝕖𝕥𝕚𝕟𝕘 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 

ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕪𝕠𝕦𝕣 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 ＋【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕒𝕤𝕤𝕚𝕤𝕥 𝕪𝕠𝕦 𝕨𝕚𝕥𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤, 𝕨𝕙𝕚𝕔𝕙 𝕞𝕒𝕪 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕝𝕖𝕘𝕒𝕝 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕒𝕣𝕣𝕚𝕒𝕘𝕖 𝕔𝕖𝕣𝕥𝕚𝕗𝕚𝕔𝕒𝕥𝕖 𝕠𝕣 𝕔𝕠𝕦𝕣𝕥 𝕠𝕣𝕕𝕖𝕣.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.


 

𝙲𝚊𝚗 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚖𝚢 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒂 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒆𝒓𝒗𝒊𝒄𝒆 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨) 𝒐𝒓 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨).


 

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?


 

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤: 𝕐𝕠𝕦𝕣 𝔾𝕠-𝕋𝕠 𝕗𝕠𝕣 𝔽𝕝𝕖𝕩𝕚𝕓𝕝𝕖 𝕋𝕣𝕒𝕧𝕖𝕝 𝕐𝕖𝕤, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘, ℙ𝕣𝕠𝕧𝕚𝕕𝕖𝕕 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖.

𝚑𝚘𝚠 𝚌𝚊𝚗 𝚒 𝚖𝚘𝚍𝚒𝚏𝚢 𝚊 𝚝𝚒𝚌𝚔𝚎𝚝 𝚏𝚘𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝓐𝓲𝓻𝓵𝓲𝓷𝓮𝓼?

𝔽𝕝𝕚𝕘𝕙𝕥 ℂ𝕙𝕒𝕟𝕘𝕖𝕤 𝕄𝕒𝕕𝕖 𝔼𝕒𝕤𝕪: 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕀𝕗 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕚𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕.

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝


 

𝚝𝚘 𝚖𝚘𝚍𝚒𝚏𝚢 𝚝𝚑𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚞𝚙𝚙𝚘𝚛𝚝 𝚘𝚛 𝚝𝚑𝚎 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚍𝚒𝚛𝚎𝚌𝚝𝚕𝚢. 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚐𝚎𝚗𝚎𝚛𝚊𝚕𝚕𝚢 𝚍𝚘𝚎𝚜 𝚗𝚘𝚝 𝚊𝚌𝚌𝚎𝚙𝚝 𝚎𝚗𝚝𝚒𝚛𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚌𝚑𝚊𝚗𝚐𝚎𝚜; 𝚑𝚘𝚠𝚎𝚟𝚎𝚛, 𝚖𝚒𝚗𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗𝚜 𝚘𝚛 𝚎𝚍𝚒𝚝𝚜 𝚖𝚊𝚢 𝚋𝚎 𝚊𝚕𝚕𝚘𝚠𝚎𝚍 𝚠𝚒𝚝𝚑 𝚙𝚛𝚘𝚙𝚎𝚛 𝚙𝚛𝚘𝚘𝚏 𝚊𝚗𝚍 𝚊𝚝 𝚊 𝚌𝚘𝚜𝚝.


 

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝

𝕀𝕤 𝕥𝕙𝕖𝕣𝕖 𝕒 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 𝕗𝕖𝕖 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝐘𝐞𝐬, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝐨𝐟𝐟𝐞𝐫𝐬 𝐟𝐫𝐞𝐞 𝐜𝐚𝐧𝐜𝐞𝐥𝐥𝐚𝐭𝐢𝐨𝐧𝐬 𝐰𝐢𝐭𝐡𝐢𝐧 𝟐𝟒 𝐡𝐨𝐮𝐫𝐬 𝐨𝐟 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐟𝐮𝐥𝐥 𝐫𝐞𝐟𝐮𝐧𝐝, 𝐩𝐫𝐨𝐯𝐢𝐝𝐞𝐝 𝐭𝐡𝐞 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐢𝐬 𝐦𝐚𝐝𝐞 𝐚𝐭 𝐥𝐞𝐚𝐬𝐭 𝟕 𝐝𝐚𝐲𝐬 𝐛𝐞𝐟𝐨𝐫𝐞 𝐝𝐞𝐩𝐚𝐫𝐭𝐮𝐫𝐞. 𝐅𝐨𝐫 𝐚𝐬𝐬𝐢𝐬𝐭𝐚𝐧𝐜𝐞, 𝐜𝐚𝐥𝐥 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝕠𝕣 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝐟𝐨𝐫 𝐟𝐮𝐫𝐭𝐡𝐞𝐫 𝐬𝐮𝐩𝐩𝐨𝐫𝐭.

ℍ𝕠𝕨 𝕝𝕠𝕟𝕘 𝕒𝕗𝕥𝕖𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕔𝕒𝕟 𝕪𝕠𝕦 𝕔𝕒𝕟𝕔𝕖𝕝?

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕙𝕒𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪 𝕓𝕪 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】.𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕, 𝕒𝕤 𝕝𝕠𝕟𝕘 𝕒𝕤 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕚𝕟 𝕒𝕕𝕧𝕒𝕟𝕔𝕖. ℂ𝕒𝕝𝕝【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 𝕗𝕠𝕣 𝕙𝕖𝕝ℙ.


 

𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝔹𝕒𝕤𝕚𝕔 𝔼𝕔𝕠𝕟𝕠𝕞𝕪 𝕥𝕚𝕔𝕜𝕖𝕥. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝕥𝕠 𝕙𝕒𝕧𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕣𝕖𝕔𝕥𝕚𝕗𝕚𝕖𝕕 𝕚𝕗 𝕚𝕥 𝕨𝕒𝕤 𝕖𝕟𝕥𝕖𝕣𝕖𝕕 𝕖𝕣𝕣𝕠𝕟𝕖𝕠𝕦𝕤𝕝𝕪, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕨𝕚𝕥𝕙 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕠𝕣 𝕠𝕞𝕚𝕥𝕥𝕖𝕕 𝕞𝕚𝕕𝕕𝕝𝕖 𝕟𝕒𝕞𝕖.


 

 

𝙷𝚘𝚠 𝚍𝚘 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚊 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚝𝚑𝚎𝚒𝚛 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 𝚊𝚝  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰) 𝚘𝚛  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰). 𝚃𝚑𝚎𝚢 𝚠𝚒𝚕𝚕 𝚐𝚞𝚒𝚍𝚎 𝚢𝚘𝚞 𝚝𝚑𝚛𝚘𝚞𝚐𝚑 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚙𝚛𝚘𝚌𝚎𝚜𝚜 𝚊𝚗𝚍 𝚊𝚙𝚙𝚕𝚒𝚌𝚊𝚋𝚕𝚎 𝚏𝚎𝚎𝚜.

𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕧𝕚𝕤𝕚𝕥 𝕥𝕙𝕖 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕥𝕙𝕣𝕠𝕦𝕘𝕙  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕆ℝ【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) (𝕆𝕋𝔸) 𝕠𝕣  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸).

𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆̲𝕋̲𝔸̲) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.

𝔹𝕠𝕠𝕜𝕚𝕟𝕘 𝕥𝕣𝕒𝕧𝕖𝕝 𝕡𝕝𝕒𝕟𝕤 𝕔𝕒𝕟 𝕤𝕠𝕞𝕖𝕥𝕚𝕞𝕖𝕤 𝕝𝕖𝕒𝕕 𝕥𝕠 𝕤𝕞𝕒𝕝𝕝 𝕖𝕣𝕣𝕠𝕣𝕤, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕡𝕒𝕤𝕤𝕖𝕟𝕘𝕖𝕣 𝕟𝕒𝕞𝕖. 𝕀𝕗 𝕪𝕠𝕦'𝕧𝕖 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒 𝕥𝕚𝕔𝕜𝕖𝕥 𝕠𝕟 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕒𝕟𝕕 𝕟𝕠𝕥𝕚𝕔𝕖𝕕 𝕥𝕙𝕒𝕥 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕟𝕖𝕖𝕕𝕤 𝕥𝕠 𝕓𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕕 𝕠𝕣 𝕖𝕕𝕚𝕥𝕖𝕕, 𝕕𝕠𝕟'𝕥 𝕨𝕠𝕣𝕣𝕪—𝕥𝕙𝕖𝕣𝕖 𝕒𝕣𝕖 𝕨𝕒𝕪𝕤 𝕥𝕠 𝕒𝕕𝕕𝕣𝕖𝕤𝕤 𝕥𝕙𝕚𝕤 𝕚𝕤𝕤𝕦𝕖. ℍ𝕖𝕣𝕖'𝕤 𝕒 𝕔𝕠𝕞𝕡𝕣𝕖𝕙𝕖𝕟𝕤𝕚𝕧𝕖 𝕘𝕦𝕚𝕕𝕖 𝕥𝕠 𝕙𝕖𝕝𝕡 𝕪𝕠𝕦 𝕥𝕙𝕣𝕠𝕦𝕘𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤. 𝕀𝕗 𝕒𝕥 𝕒𝕟𝕪 𝕡𝕠𝕚𝕟𝕥 𝕪𝕠𝕦 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕒𝕝𝕨𝕒𝕪𝕤 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒'𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙.

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.
 

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚟𝚒𝚜𝚒𝚝 𝚝𝚑𝚎 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕣 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝚄𝚂𝙰 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚂𝚝𝚊𝚝𝚎𝚜 𝙾𝚃𝙰.

𝕀𝕗 𝕪𝕠𝕦 𝕗𝕚𝕟𝕕 𝕪𝕠𝕦𝕣𝕤𝕖𝕝𝕗 𝕟𝕖𝕖𝕕𝕚𝕟𝕘 𝕥𝕠 𝕞𝕒𝕜𝕖 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕥𝕙𝕖 𝕗𝕒𝕤𝕥𝕖𝕤𝕥 𝕨𝕒𝕪 𝕥𝕠 𝕕𝕠 𝕤𝕠 𝕚𝕤 𝕓𝕪 𝕔𝕠𝕟𝕥𝕒𝕔𝕥𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝕐𝕠𝕦 𝕔𝕒𝕟 𝕣𝕖𝕢𝕦𝕖𝕤𝕥 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕓𝕦𝕥 𝕚𝕥 𝕚𝕤 𝕘𝕖𝕟𝕖𝕣𝕒𝕝𝕝𝕪 𝕝𝕚𝕞𝕚𝕥𝕖𝕕 𝕥𝕠 𝕞𝕚𝕟𝕠𝕣 𝕔𝕠𝕣𝕣𝕖𝕔𝕥𝕚𝕠𝕟𝕤 (𝕝𝕚𝕜𝕖 𝕤𝕡𝕖𝕝𝕝𝕚𝕟𝕘 𝕖𝕣𝕣𝕠𝕣𝕤). 𝔽𝕦𝕝𝕝 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕤 𝕒𝕣𝕖 𝕦𝕤𝕦𝕒𝕝𝕝𝕪 𝕟𝕠𝕥 𝕡𝕖𝕣𝕞𝕚𝕥𝕥𝕖𝕕. 𝔽𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 +𝟙-𝟠𝟟𝟟-𝟟𝟟𝟞-𝟙𝟚𝟛𝟟. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕡𝕣𝕠𝕧𝕚𝕕𝕖 𝕘𝕦𝕚𝕕𝕒𝕟𝕔𝕖, 𝕒𝕟𝕕 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕞𝕒𝕪 𝕓𝕖 𝕣𝕖𝕢𝕦𝕚𝕣𝕖𝕕.

𝕃𝕠𝕔𝕒𝕥𝕖 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕦𝕟𝕕𝕖𝕣 "𝕄𝕒𝕟𝕒𝕘𝕖 𝕄𝕪 𝕋𝕣𝕚𝕡," 𝕚𝕟𝕡𝕦𝕥 𝕪𝕠𝕦𝕣 𝕣𝕖𝕤𝕖𝕣𝕧𝕒𝕥𝕚𝕠𝕟 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟, 𝕒𝕟𝕕 𝕔𝕙𝕠𝕠𝕤𝕖 𝕥𝕙𝕖 𝕗𝕝𝕚𝕘𝕙𝕥 ℕ𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕡𝕥𝕚𝕠𝕟  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 . 𝔼𝕟𝕤𝕦𝕣𝕖 𝕪𝕠𝕦 𝕤𝕖𝕥𝕥𝕝𝕖 𝕒𝕟𝕪 𝕣𝕖𝕝𝕖𝕧𝕒𝕟𝕥 ℕ𝕒𝕞𝕖 𝕒𝕕𝕛𝕦𝕤𝕥𝕞𝕖𝕟𝕥 𝕔𝕙𝕒𝕣𝕘𝕖𝕤 𝕒𝕟𝕕 𝕒𝕨𝕒𝕚𝕥 𝕔𝕠𝕟𝕗𝕚𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕗𝕣𝕠𝕞 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕦𝕡𝕠𝕟 𝕔𝕠𝕞𝕡𝕝𝕖𝕥𝕚𝕟𝕘 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 

ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕪𝕠𝕦𝕣 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 ＋【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕒𝕤𝕤𝕚𝕤𝕥 𝕪𝕠𝕦 𝕨𝕚𝕥𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤, 𝕨𝕙𝕚𝕔𝕙 𝕞𝕒𝕪 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕝𝕖𝕘𝕒𝕝 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕒𝕣𝕣𝕚𝕒𝕘𝕖 𝕔𝕖𝕣𝕥𝕚𝕗𝕚𝕔𝕒𝕥𝕖 𝕠𝕣 𝕔𝕠𝕦𝕣𝕥 𝕠𝕣𝕕𝕖𝕣.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.


 

𝙲𝚊𝚗 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚖𝚢 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒂 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒆𝒓𝒗𝒊𝒄𝒆 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨) 𝒐𝒓 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨).


 

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?


 

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤: 𝕐𝕠𝕦𝕣 𝔾𝕠-𝕋𝕠 𝕗𝕠𝕣 𝔽𝕝𝕖𝕩𝕚𝕓𝕝𝕖 𝕋𝕣𝕒𝕧𝕖𝕝 𝕐𝕖𝕤, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘, ℙ𝕣𝕠𝕧𝕚𝕕𝕖𝕕 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖.

𝚑𝚘𝚠 𝚌𝚊𝚗 𝚒 𝚖𝚘𝚍𝚒𝚏𝚢 𝚊 𝚝𝚒𝚌𝚔𝚎𝚝 𝚏𝚘𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝓐𝓲𝓻𝓵𝓲𝓷𝓮𝓼?

𝔽𝕝𝕚𝕘𝕙𝕥 ℂ𝕙𝕒𝕟𝕘𝕖𝕤 𝕄𝕒𝕕𝕖 𝔼𝕒𝕤𝕪: 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕀𝕗 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕚𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕.

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝


 

𝚝𝚘 𝚖𝚘𝚍𝚒𝚏𝚢 𝚝𝚑𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚞𝚙𝚙𝚘𝚛𝚝 𝚘𝚛 𝚝𝚑𝚎 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚍𝚒𝚛𝚎𝚌𝚝𝚕𝚢. 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚐𝚎𝚗𝚎𝚛𝚊𝚕𝚕𝚢 𝚍𝚘𝚎𝚜 𝚗𝚘𝚝 𝚊𝚌𝚌𝚎𝚙𝚝 𝚎𝚗𝚝𝚒𝚛𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚌𝚑𝚊𝚗𝚐𝚎𝚜; 𝚑𝚘𝚠𝚎𝚟𝚎𝚛, 𝚖𝚒𝚗𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗𝚜 𝚘𝚛 𝚎𝚍𝚒𝚝𝚜 𝚖𝚊𝚢 𝚋𝚎 𝚊𝚕𝚕𝚘𝚠𝚎𝚍 𝚠𝚒𝚝𝚑 𝚙𝚛𝚘𝚙𝚎𝚛 𝚙𝚛𝚘𝚘𝚏 𝚊𝚗𝚍 𝚊𝚝 𝚊 𝚌𝚘𝚜𝚝.


 

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝

𝕀𝕤 𝕥𝕙𝕖𝕣𝕖 𝕒 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 𝕗𝕖𝕖 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝐘𝐞𝐬, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝐨𝐟𝐟𝐞𝐫𝐬 𝐟𝐫𝐞𝐞 𝐜𝐚𝐧𝐜𝐞𝐥𝐥𝐚𝐭𝐢𝐨𝐧𝐬 𝐰𝐢𝐭𝐡𝐢𝐧 𝟐𝟒 𝐡𝐨𝐮𝐫𝐬 𝐨𝐟 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐟𝐮𝐥𝐥 𝐫𝐞𝐟𝐮𝐧𝐝, 𝐩𝐫𝐨𝐯𝐢𝐝𝐞𝐝 𝐭𝐡𝐞 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐢𝐬 𝐦𝐚𝐝𝐞 𝐚𝐭 𝐥𝐞𝐚𝐬𝐭 𝟕 𝐝𝐚𝐲𝐬 𝐛𝐞𝐟𝐨𝐫𝐞 𝐝𝐞𝐩𝐚𝐫𝐭𝐮𝐫𝐞. 𝐅𝐨𝐫 𝐚𝐬𝐬𝐢𝐬𝐭𝐚𝐧𝐜𝐞, 𝐜𝐚𝐥𝐥 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝕠𝕣 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝐟𝐨𝐫 𝐟𝐮𝐫𝐭𝐡𝐞𝐫 𝐬𝐮𝐩𝐩𝐨𝐫𝐭.

ℍ𝕠𝕨 𝕝𝕠𝕟𝕘 𝕒𝕗𝕥𝕖𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕔𝕒𝕟 𝕪𝕠𝕦 𝕔𝕒𝕟𝕔𝕖𝕝?

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕙𝕒𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪 𝕓𝕪 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】.𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕, 𝕒𝕤 𝕝𝕠𝕟𝕘 𝕒𝕤 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕚𝕟 𝕒𝕕𝕧𝕒𝕟𝕔𝕖. ℂ𝕒𝕝𝕝【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 𝕗𝕠𝕣 𝕙𝕖𝕝ℙ.


 

𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝔹𝕒𝕤𝕚𝕔 𝔼𝕔𝕠𝕟𝕠𝕞𝕪 𝕥𝕚𝕔𝕜𝕖𝕥. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝕥𝕠 𝕙𝕒𝕧𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕣𝕖𝕔𝕥𝕚𝕗𝕚𝕖𝕕 𝕚𝕗 𝕚𝕥 𝕨𝕒𝕤 𝕖𝕟𝕥𝕖𝕣𝕖𝕕 𝕖𝕣𝕣𝕠𝕟𝕖𝕠𝕦𝕤𝕝𝕪, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕨𝕚𝕥𝕙 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕠𝕣 𝕠𝕞𝕚𝕥𝕥𝕖𝕕 𝕞𝕚𝕕𝕕𝕝𝕖 𝕟𝕒𝕞𝕖.


 

 

𝙷𝚘𝚠 𝚍𝚘 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚊 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚝𝚑𝚎𝚒𝚛 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 𝚊𝚝  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰) 𝚘𝚛  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰). 𝚃𝚑𝚎𝚢 𝚠𝚒𝚕𝚕 𝚐𝚞𝚒𝚍𝚎 𝚢𝚘𝚞 𝚝𝚑𝚛𝚘𝚞𝚐𝚑 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚙𝚛𝚘𝚌𝚎𝚜𝚜 𝚊𝚗𝚍 𝚊𝚙𝚙𝚕𝚒𝚌𝚊𝚋𝚕𝚎 𝚏𝚎𝚎𝚜.

𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕧𝕚𝕤𝕚𝕥 𝕥𝕙𝕖 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕥𝕙𝕣𝕠𝕦𝕘𝕙  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕆ℝ【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) (𝕆𝕋𝔸) 𝕠𝕣  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸).

𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆̲𝕋̲𝔸̲) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.

𝔹𝕠𝕠𝕜𝕚𝕟𝕘 𝕥𝕣𝕒𝕧𝕖𝕝 𝕡𝕝𝕒𝕟𝕤 𝕔𝕒𝕟 𝕤𝕠𝕞𝕖𝕥𝕚𝕞𝕖𝕤 𝕝𝕖𝕒𝕕 𝕥𝕠 𝕤𝕞𝕒𝕝𝕝 𝕖𝕣𝕣𝕠𝕣𝕤, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕡𝕒𝕤𝕤𝕖𝕟𝕘𝕖𝕣 𝕟𝕒𝕞𝕖. 𝕀𝕗 𝕪𝕠𝕦'𝕧𝕖 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒 𝕥𝕚𝕔𝕜𝕖𝕥 𝕠𝕟 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕒𝕟𝕕 𝕟𝕠𝕥𝕚𝕔𝕖𝕕 𝕥𝕙𝕒𝕥 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕟𝕖𝕖𝕕𝕤 𝕥𝕠 𝕓𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕕 𝕠𝕣 𝕖𝕕𝕚𝕥𝕖𝕕, 𝕕𝕠𝕟'𝕥 𝕨𝕠𝕣𝕣𝕪—𝕥𝕙𝕖𝕣𝕖 𝕒𝕣𝕖 𝕨𝕒𝕪𝕤 𝕥𝕠 𝕒𝕕𝕕𝕣𝕖𝕤𝕤 𝕥𝕙𝕚𝕤 𝕚𝕤𝕤𝕦𝕖. ℍ𝕖𝕣𝕖'𝕤 𝕒 𝕔𝕠𝕞𝕡𝕣𝕖𝕙𝕖𝕟𝕤𝕚𝕧𝕖 𝕘𝕦𝕚𝕕𝕖 𝕥𝕠 𝕙𝕖𝕝𝕡 𝕪𝕠𝕦 𝕥𝕙𝕣𝕠𝕦𝕘𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤. 𝕀𝕗 𝕒𝕥 𝕒𝕟𝕪 𝕡𝕠𝕚𝕟𝕥 𝕪𝕠𝕦 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕒𝕝𝕨𝕒𝕪𝕤 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒'𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙.

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.
 

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚟𝚒𝚜𝚒𝚝 𝚝𝚑𝚎 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕣 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝚄𝚂𝙰 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚂𝚝𝚊𝚝𝚎𝚜 𝙾𝚃𝙰.

𝕀𝕗 𝕪𝕠𝕦 𝕗𝕚𝕟𝕕 𝕪𝕠𝕦𝕣𝕤𝕖𝕝𝕗 𝕟𝕖𝕖𝕕𝕚𝕟𝕘 𝕥𝕠 𝕞𝕒𝕜𝕖 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕥𝕙𝕖 𝕗𝕒𝕤𝕥𝕖𝕤𝕥 𝕨𝕒𝕪 𝕥𝕠 𝕕𝕠 𝕤𝕠 𝕚𝕤 𝕓𝕪 𝕔𝕠𝕟𝕥𝕒𝕔𝕥𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝕐𝕠𝕦 𝕔𝕒𝕟 𝕣𝕖𝕢𝕦𝕖𝕤𝕥 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕓𝕦𝕥 𝕚𝕥 𝕚𝕤 𝕘𝕖𝕟𝕖𝕣𝕒𝕝𝕝𝕪 𝕝𝕚𝕞𝕚𝕥𝕖𝕕 𝕥𝕠 𝕞𝕚𝕟𝕠𝕣 𝕔𝕠𝕣𝕣𝕖𝕔𝕥𝕚𝕠𝕟𝕤 (𝕝𝕚𝕜𝕖 𝕤𝕡𝕖𝕝𝕝𝕚𝕟𝕘 𝕖𝕣𝕣𝕠𝕣𝕤). 𝔽𝕦𝕝𝕝 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕤 𝕒𝕣𝕖 𝕦𝕤𝕦𝕒𝕝𝕝𝕪 𝕟𝕠𝕥 𝕡𝕖𝕣𝕞𝕚𝕥𝕥𝕖𝕕. 𝔽𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 +𝟙-𝟠𝟟𝟟-𝟟𝟟𝟞-𝟙𝟚𝟛𝟟. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕡𝕣𝕠𝕧𝕚𝕕𝕖 𝕘𝕦𝕚𝕕𝕒𝕟𝕔𝕖, 𝕒𝕟𝕕 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕞𝕒𝕪 𝕓𝕖 𝕣𝕖𝕢𝕦𝕚𝕣𝕖𝕕.

𝕃𝕠𝕔𝕒𝕥𝕖 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕦𝕟𝕕𝕖𝕣 "𝕄𝕒𝕟𝕒𝕘𝕖 𝕄𝕪 𝕋𝕣𝕚𝕡," 𝕚𝕟𝕡𝕦𝕥 𝕪𝕠𝕦𝕣 𝕣𝕖𝕤𝕖𝕣𝕧𝕒𝕥𝕚𝕠𝕟 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟, 𝕒𝕟𝕕 𝕔𝕙𝕠𝕠𝕤𝕖 𝕥𝕙𝕖 𝕗𝕝𝕚𝕘𝕙𝕥 ℕ𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕡𝕥𝕚𝕠𝕟  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 . 𝔼𝕟𝕤𝕦𝕣𝕖 𝕪𝕠𝕦 𝕤𝕖𝕥𝕥𝕝𝕖 𝕒𝕟𝕪 𝕣𝕖𝕝𝕖𝕧𝕒𝕟𝕥 ℕ𝕒𝕞𝕖 𝕒𝕕𝕛𝕦𝕤𝕥𝕞𝕖𝕟𝕥 𝕔𝕙𝕒𝕣𝕘𝕖𝕤 𝕒𝕟𝕕 𝕒𝕨𝕒𝕚𝕥 𝕔𝕠𝕟𝕗𝕚𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕗𝕣𝕠𝕞 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕦𝕡𝕠𝕟 𝕔𝕠𝕞𝕡𝕝𝕖𝕥𝕚𝕟𝕘 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 

ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕪𝕠𝕦𝕣 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 ＋【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕒𝕤𝕤𝕚𝕤𝕥 𝕪𝕠𝕦 𝕨𝕚𝕥𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤, 𝕨𝕙𝕚𝕔𝕙 𝕞𝕒𝕪 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕝𝕖𝕘𝕒𝕝 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕒𝕣𝕣𝕚𝕒𝕘𝕖 𝕔𝕖𝕣𝕥𝕚𝕗𝕚𝕔𝕒𝕥𝕖 𝕠𝕣 𝕔𝕠𝕦𝕣𝕥 𝕠𝕣𝕕𝕖𝕣.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.


 

𝙲𝚊𝚗 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚖𝚢 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒂 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒆𝒓𝒗𝒊𝒄𝒆 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨) 𝒐𝒓 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨).


 

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?


 

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤: 𝕐𝕠𝕦𝕣 𝔾𝕠-𝕋𝕠 𝕗𝕠𝕣 𝔽𝕝𝕖𝕩𝕚𝕓𝕝𝕖 𝕋𝕣𝕒𝕧𝕖𝕝 𝕐𝕖𝕤, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘, ℙ𝕣𝕠𝕧𝕚𝕕𝕖𝕕 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖.

𝚑𝚘𝚠 𝚌𝚊𝚗 𝚒 𝚖𝚘𝚍𝚒𝚏𝚢 𝚊 𝚝𝚒𝚌𝚔𝚎𝚝 𝚏𝚘𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝓐𝓲𝓻𝓵𝓲𝓷𝓮𝓼?

𝔽𝕝𝕚𝕘𝕙𝕥 ℂ𝕙𝕒𝕟𝕘𝕖𝕤 𝕄𝕒𝕕𝕖 𝔼𝕒𝕤𝕪: 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕀𝕗 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕚𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕.

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝


 

𝚝𝚘 𝚖𝚘𝚍𝚒𝚏𝚢 𝚝𝚑𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚞𝚙𝚙𝚘𝚛𝚝 𝚘𝚛 𝚝𝚑𝚎 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚍𝚒𝚛𝚎𝚌𝚝𝚕𝚢. 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚐𝚎𝚗𝚎𝚛𝚊𝚕𝚕𝚢 𝚍𝚘𝚎𝚜 𝚗𝚘𝚝 𝚊𝚌𝚌𝚎𝚙𝚝 𝚎𝚗𝚝𝚒𝚛𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚌𝚑𝚊𝚗𝚐𝚎𝚜; 𝚑𝚘𝚠𝚎𝚟𝚎𝚛, 𝚖𝚒𝚗𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗𝚜 𝚘𝚛 𝚎𝚍𝚒𝚝𝚜 𝚖𝚊𝚢 𝚋𝚎 𝚊𝚕𝚕𝚘𝚠𝚎𝚍 𝚠𝚒𝚝𝚑 𝚙𝚛𝚘𝚙𝚎𝚛 𝚙𝚛𝚘𝚘𝚏 𝚊𝚗𝚍 𝚊𝚝 𝚊 𝚌𝚘𝚜𝚝.


 

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝

𝕀𝕤 𝕥𝕙𝕖𝕣𝕖 𝕒 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 𝕗𝕖𝕖 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝐘𝐞𝐬, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝐨𝐟𝐟𝐞𝐫𝐬 𝐟𝐫𝐞𝐞 𝐜𝐚𝐧𝐜𝐞𝐥𝐥𝐚𝐭𝐢𝐨𝐧𝐬 𝐰𝐢𝐭𝐡𝐢𝐧 𝟐𝟒 𝐡𝐨𝐮𝐫𝐬 𝐨𝐟 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐟𝐮𝐥𝐥 𝐫𝐞𝐟𝐮𝐧𝐝, 𝐩𝐫𝐨𝐯𝐢𝐝𝐞𝐝 𝐭𝐡𝐞 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐢𝐬 𝐦𝐚𝐝𝐞 𝐚𝐭 𝐥𝐞𝐚𝐬𝐭 𝟕 𝐝𝐚𝐲𝐬 𝐛𝐞𝐟𝐨𝐫𝐞 𝐝𝐞𝐩𝐚𝐫𝐭𝐮𝐫𝐞. 𝐅𝐨𝐫 𝐚𝐬𝐬𝐢𝐬𝐭𝐚𝐧𝐜𝐞, 𝐜𝐚𝐥𝐥 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝕠𝕣 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝐟𝐨𝐫 𝐟𝐮𝐫𝐭𝐡𝐞𝐫 𝐬𝐮𝐩𝐩𝐨𝐫𝐭.

ℍ𝕠𝕨 𝕝𝕠𝕟𝕘 𝕒𝕗𝕥𝕖𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕔𝕒𝕟 𝕪𝕠𝕦 𝕔𝕒𝕟𝕔𝕖𝕝?

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕙𝕒𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪 𝕓𝕪 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】.𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕, 𝕒𝕤 𝕝𝕠𝕟𝕘 𝕒𝕤 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕚𝕟 𝕒𝕕𝕧𝕒𝕟𝕔𝕖. ℂ𝕒𝕝𝕝【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 𝕗𝕠𝕣 𝕙𝕖𝕝ℙ.


 

𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝔹𝕒𝕤𝕚𝕔 𝔼𝕔𝕠𝕟𝕠𝕞𝕪 𝕥𝕚𝕔𝕜𝕖𝕥. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝕥𝕠 𝕙𝕒𝕧𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕣𝕖𝕔𝕥𝕚𝕗𝕚𝕖𝕕 𝕚𝕗 𝕚𝕥 𝕨𝕒𝕤 𝕖𝕟𝕥𝕖𝕣𝕖𝕕 𝕖𝕣𝕣𝕠𝕟𝕖𝕠𝕦𝕤𝕝𝕪, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕨𝕚𝕥𝕙 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕠𝕣 𝕠𝕞𝕚𝕥𝕥𝕖𝕕 𝕞𝕚𝕕𝕕𝕝𝕖 𝕟𝕒𝕞𝕖.


 

 

𝙷𝚘𝚠 𝚍𝚘 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚊 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚝𝚑𝚎𝚒𝚛 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 𝚊𝚝  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰) 𝚘𝚛  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰). 𝚃𝚑𝚎𝚢 𝚠𝚒𝚕𝚕 𝚐𝚞𝚒𝚍𝚎 𝚢𝚘𝚞 𝚝𝚑𝚛𝚘𝚞𝚐𝚑 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚙𝚛𝚘𝚌𝚎𝚜𝚜 𝚊𝚗𝚍 𝚊𝚙𝚙𝚕𝚒𝚌𝚊𝚋𝚕𝚎 𝚏𝚎𝚎𝚜.

𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕧𝕚𝕤𝕚𝕥 𝕥𝕙𝕖 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕥𝕙𝕣𝕠𝕦𝕘𝕙  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕆ℝ【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) (𝕆𝕋𝔸) 𝕠𝕣  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸).

𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆̲𝕋̲𝔸̲) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.

𝔹𝕠𝕠𝕜𝕚𝕟𝕘 𝕥𝕣𝕒𝕧𝕖𝕝 𝕡𝕝𝕒𝕟𝕤 𝕔𝕒𝕟 𝕤𝕠𝕞𝕖𝕥𝕚𝕞𝕖𝕤 𝕝𝕖𝕒𝕕 𝕥𝕠 𝕤𝕞𝕒𝕝𝕝 𝕖𝕣𝕣𝕠𝕣𝕤, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕡𝕒𝕤𝕤𝕖𝕟𝕘𝕖𝕣 𝕟𝕒𝕞𝕖. 𝕀𝕗 𝕪𝕠𝕦'𝕧𝕖 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒 𝕥𝕚𝕔𝕜𝕖𝕥 𝕠𝕟 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕒𝕟𝕕 𝕟𝕠𝕥𝕚𝕔𝕖𝕕 𝕥𝕙𝕒𝕥 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕟𝕖𝕖𝕕𝕤 𝕥𝕠 𝕓𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕕 𝕠𝕣 𝕖𝕕𝕚𝕥𝕖𝕕, 𝕕𝕠𝕟'𝕥 𝕨𝕠𝕣𝕣𝕪—𝕥𝕙𝕖𝕣𝕖 𝕒𝕣𝕖 𝕨𝕒𝕪𝕤 𝕥𝕠 𝕒𝕕𝕕𝕣𝕖𝕤𝕤 𝕥𝕙𝕚𝕤 𝕚𝕤𝕤𝕦𝕖. ℍ𝕖𝕣𝕖'𝕤 𝕒 𝕔𝕠𝕞𝕡𝕣𝕖𝕙𝕖𝕟𝕤𝕚𝕧𝕖 𝕘𝕦𝕚𝕕𝕖 𝕥𝕠 𝕙𝕖𝕝𝕡 𝕪𝕠𝕦 𝕥𝕙𝕣𝕠𝕦𝕘𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤. 𝕀𝕗 𝕒𝕥 𝕒𝕟𝕪 𝕡𝕠𝕚𝕟𝕥 𝕪𝕠𝕦 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕒𝕝𝕨𝕒𝕪𝕤 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒'𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙.

ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕠𝕦𝕘𝕙 𝕗𝕖𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕤𝕥𝕣𝕚𝕔𝕥𝕚𝕠𝕟𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝔸𝕚𝕣𝕝𝕚𝕟𝕖. 𝕋𝕠 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕠𝕣 +𝟙-𝟠𝟘𝟘-𝟞𝟠𝟡-𝟙𝟡.𝟚𝟚 𝕠𝕣 ＋𝟝𝟚~𝟠𝟘𝟘~𝟡𝟝𝟛~𝟝𝟘𝟘𝟙 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖.
 

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚟𝚒𝚜𝚒𝚝 𝚝𝚑𝚎 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕣 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝚄𝚂𝙰 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚂𝚝𝚊𝚝𝚎𝚜 𝙾𝚃𝙰.

𝕀𝕗 𝕪𝕠𝕦 𝕗𝕚𝕟𝕕 𝕪𝕠𝕦𝕣𝕤𝕖𝕝𝕗 𝕟𝕖𝕖𝕕𝕚𝕟𝕘 𝕥𝕠 𝕞𝕒𝕜𝕖 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖, 𝕥𝕙𝕖 𝕗𝕒𝕤𝕥𝕖𝕤𝕥 𝕨𝕒𝕪 𝕥𝕠 𝕕𝕠 𝕤𝕠 𝕚𝕤 𝕓𝕪 𝕔𝕠𝕟𝕥𝕒𝕔𝕥𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝕐𝕠𝕦 𝕔𝕒𝕟 𝕣𝕖𝕢𝕦𝕖𝕤𝕥 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕓𝕦𝕥 𝕚𝕥 𝕚𝕤 𝕘𝕖𝕟𝕖𝕣𝕒𝕝𝕝𝕪 𝕝𝕚𝕞𝕚𝕥𝕖𝕕 𝕥𝕠 𝕞𝕚𝕟𝕠𝕣 𝕔𝕠𝕣𝕣𝕖𝕔𝕥𝕚𝕠𝕟𝕤 (𝕝𝕚𝕜𝕖 𝕤𝕡𝕖𝕝𝕝𝕚𝕟𝕘 𝕖𝕣𝕣𝕠𝕣𝕤). 𝔽𝕦𝕝𝕝 𝕟𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕤 𝕒𝕣𝕖 𝕦𝕤𝕦𝕒𝕝𝕝𝕪 𝕟𝕠𝕥 𝕡𝕖𝕣𝕞𝕚𝕥𝕥𝕖𝕕. 𝔽𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 +𝟙-𝟠𝟟𝟟-𝟟𝟟𝟞-𝟙𝟚𝟛𝟟. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕡𝕣𝕠𝕧𝕚𝕕𝕖 𝕘𝕦𝕚𝕕𝕒𝕟𝕔𝕖, 𝕒𝕟𝕕 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕞𝕒𝕪 𝕓𝕖 𝕣𝕖𝕢𝕦𝕚𝕣𝕖𝕕.

𝕃𝕠𝕔𝕒𝕥𝕖 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕦𝕟𝕕𝕖𝕣 "𝕄𝕒𝕟𝕒𝕘𝕖 𝕄𝕪 𝕋𝕣𝕚𝕡," 𝕚𝕟𝕡𝕦𝕥 𝕪𝕠𝕦𝕣 𝕣𝕖𝕤𝕖𝕣𝕧𝕒𝕥𝕚𝕠𝕟 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟, 𝕒𝕟𝕕 𝕔𝕙𝕠𝕠𝕤𝕖 𝕥𝕙𝕖 𝕗𝕝𝕚𝕘𝕙𝕥 ℕ𝕒𝕞𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕡𝕥𝕚𝕠𝕟  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 . 𝔼𝕟𝕤𝕦𝕣𝕖 𝕪𝕠𝕦 𝕤𝕖𝕥𝕥𝕝𝕖 𝕒𝕟𝕪 𝕣𝕖𝕝𝕖𝕧𝕒𝕟𝕥 ℕ𝕒𝕞𝕖 𝕒𝕕𝕛𝕦𝕤𝕥𝕞𝕖𝕟𝕥 𝕔𝕙𝕒𝕣𝕘𝕖𝕤 𝕒𝕟𝕕 𝕒𝕨𝕒𝕚𝕥 𝕔𝕠𝕟𝕗𝕚𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕗𝕣𝕠𝕞 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕦𝕡𝕠𝕟 𝕔𝕠𝕞𝕡𝕝𝕖𝕥𝕚𝕟𝕘 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 

ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒? 𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕪𝕠𝕦𝕣 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕥𝕠𝕝𝕝-𝕗𝕣𝕖𝕖 𝕟𝕦𝕞𝕓𝕖𝕣 𝕒𝕥 ＋【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝔸 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕨𝕚𝕝𝕝 𝕒𝕤𝕤𝕚𝕤𝕥 𝕪𝕠𝕦 𝕨𝕚𝕥𝕙 𝕥𝕙𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤, 𝕨𝕙𝕚𝕔𝕙 𝕞𝕒𝕪 𝕣𝕖𝕢𝕦𝕚𝕣𝕖 𝕝𝕖𝕘𝕒𝕝 𝕕𝕠𝕔𝕦𝕞𝕖𝕟𝕥𝕒𝕥𝕚𝕠𝕟 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕒 𝕞𝕒𝕣𝕣𝕚𝕒𝕘𝕖 𝕔𝕖𝕣𝕥𝕚𝕗𝕚𝕔𝕒𝕥𝕖 𝕠𝕣 𝕔𝕠𝕦𝕣𝕥 𝕠𝕣𝕕𝕖𝕣.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙. 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.


 

𝙲𝚊𝚗 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚖𝚢 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒂 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒆𝒓𝒗𝒊𝒄𝒆 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨) 𝒐𝒓 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝑶𝑻𝑨).


 

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?


 

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤: 𝕐𝕠𝕦𝕣 𝔾𝕠-𝕋𝕠 𝕗𝕠𝕣 𝔽𝕝𝕖𝕩𝕚𝕓𝕝𝕖 𝕋𝕣𝕒𝕧𝕖𝕝 𝕐𝕖𝕤, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘, ℙ𝕣𝕠𝕧𝕚𝕕𝕖𝕕 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖.

𝚑𝚘𝚠 𝚌𝚊𝚗 𝚒 𝚖𝚘𝚍𝚒𝚏𝚢 𝚊 𝚝𝚒𝚌𝚔𝚎𝚝 𝚏𝚘𝚛 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝓐𝓲𝓻𝓵𝓲𝓷𝓮𝓼?

𝔽𝕝𝕚𝕘𝕙𝕥 ℂ𝕙𝕒𝕟𝕘𝕖𝕤 𝕄𝕒𝕕𝕖 𝔼𝕒𝕤𝕪: 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪. 𝕀𝕗 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕚𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕓𝕖𝕗𝕠𝕣𝕖 𝕕𝕖ℙ𝕒𝕣𝕥𝕦𝕣𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕.

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝


 

𝚝𝚘 𝚖𝚘𝚍𝚒𝚏𝚢 𝚝𝚑𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚞𝚙𝚙𝚘𝚛𝚝 𝚘𝚛 𝚝𝚑𝚎 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝚘𝚝𝚊) 𝚍𝚒𝚛𝚎𝚌𝚝𝚕𝚢. 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚐𝚎𝚗𝚎𝚛𝚊𝚕𝚕𝚢 𝚍𝚘𝚎𝚜 𝚗𝚘𝚝 𝚊𝚌𝚌𝚎𝚙𝚝 𝚎𝚗𝚝𝚒𝚛𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚌𝚑𝚊𝚗𝚐𝚎𝚜; 𝚑𝚘𝚠𝚎𝚟𝚎𝚛, 𝚖𝚒𝚗𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗𝚜 𝚘𝚛 𝚎𝚍𝚒𝚝𝚜 𝚖𝚊𝚢 𝚋𝚎 𝚊𝚕𝚕𝚘𝚠𝚎𝚍 𝚠𝚒𝚝𝚑 𝚙𝚛𝚘𝚙𝚎𝚛 𝚙𝚛𝚘𝚘𝚏 𝚊𝚗𝚍 𝚊𝚝 𝚊 𝚌𝚘𝚜𝚝.


 

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝

𝕀𝕤 𝕥𝕙𝕖𝕣𝕖 𝕒 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 𝕗𝕖𝕖 𝕨𝕚𝕥𝕙 𝔼𝕩𝕡𝕖𝕕𝕚𝕒?

𝐘𝐞𝐬, 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝐨𝐟𝐟𝐞𝐫𝐬 𝐟𝐫𝐞𝐞 𝐜𝐚𝐧𝐜𝐞𝐥𝐥𝐚𝐭𝐢𝐨𝐧𝐬 𝐰𝐢𝐭𝐡𝐢𝐧 𝟐𝟒 𝐡𝐨𝐮𝐫𝐬 𝐨𝐟 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐟𝐮𝐥𝐥 𝐫𝐞𝐟𝐮𝐧𝐝, 𝐩𝐫𝐨𝐯𝐢𝐝𝐞𝐝 𝐭𝐡𝐞 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐢𝐬 𝐦𝐚𝐝𝐞 𝐚𝐭 𝐥𝐞𝐚𝐬𝐭 𝟕 𝐝𝐚𝐲𝐬 𝐛𝐞𝐟𝐨𝐫𝐞 𝐝𝐞𝐩𝐚𝐫𝐭𝐮𝐫𝐞. 𝐅𝐨𝐫 𝐚𝐬𝐬𝐢𝐬𝐭𝐚𝐧𝐜𝐞, 𝐜𝐚𝐥𝐥 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝕠𝕣 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝐟𝐨𝐫 𝐟𝐮𝐫𝐭𝐡𝐞𝐫 𝐬𝐮𝐩𝐩𝐨𝐫𝐭.

ℍ𝕠𝕨 𝕝𝕠𝕟𝕘 𝕒𝕗𝕥𝕖𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕔𝕒𝕟 𝕪𝕠𝕦 𝕔𝕒𝕟𝕔𝕖𝕝?

𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕙𝕒𝕤 𝕒 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕚𝕤𝕜-𝕗𝕣𝕖𝕖 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟 ℙ𝕠𝕝𝕚𝕔𝕪 𝕓𝕪 𝕔𝕒𝕝𝕝𝕚𝕟𝕘【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】.𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕗𝕝𝕚𝕘𝕙𝕥 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕗𝕠𝕣 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕, 𝕒𝕤 𝕝𝕠𝕟𝕘 𝕒𝕤 𝕚𝕥 𝕨𝕒𝕤 𝕓𝕠𝕠𝕜𝕖𝕕 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝟟 𝕕𝕒𝕪𝕤 𝕚𝕟 𝕒𝕕𝕧𝕒𝕟𝕔𝕖. ℂ𝕒𝕝𝕝【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝕆𝕋𝔸) 𝕠𝕣 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 𝕗𝕠𝕣 𝕙𝕖𝕝ℙ.


 

𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝔹𝕒𝕤𝕚𝕔 𝔼𝕔𝕠𝕟𝕠𝕞𝕪 𝕥𝕚𝕔𝕜𝕖𝕥. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝔼𝕩𝕡𝕖𝕕𝕚𝕒 ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝕥𝕠 𝕙𝕒𝕧𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕣𝕖𝕔𝕥𝕚𝕗𝕚𝕖𝕕 𝕚𝕗 𝕚𝕥 𝕨𝕒𝕤 𝕖𝕟𝕥𝕖𝕣𝕖𝕕 𝕖𝕣𝕣𝕠𝕟𝕖𝕠𝕦𝕤𝕝𝕪, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕨𝕚𝕥𝕙 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕠𝕣 𝕠𝕞𝕚𝕥𝕥𝕖𝕕 𝕞𝕚𝕕𝕕𝕝𝕖 𝕟𝕒𝕞𝕖.


 

 

𝙷𝚘𝚠 𝚍𝚘 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?


 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚊 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊𝚗 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚝𝚑𝚎𝚒𝚛 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 𝚊𝚝  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰) 𝚘𝚛  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙  (𝙾𝚃𝙰) (𝙾𝚃𝙰). 𝚃𝚑𝚎𝚢 𝚠𝚒𝚕𝚕 𝚐𝚞𝚒𝚍𝚎 𝚢𝚘𝚞 𝚝𝚑𝚛𝚘𝚞𝚐𝚑 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚙𝚛𝚘𝚌𝚎𝚜𝚜 𝚊𝚗𝚍 𝚊𝚙𝚙𝚕𝚒𝚌𝚊𝚋𝚕𝚎 𝚏𝚎𝚎𝚜.

𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕧𝕚𝕤𝕚𝕥 𝕥𝕙𝕖 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕥𝕙𝕣𝕠𝕦𝕘𝕙  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) 𝕆ℝ【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸) (𝕆𝕋𝔸) 𝕠𝕣  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆𝕋𝔸).

𝕊𝕥𝕖𝕡𝕤 𝕥𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 ℕ𝕒𝕞𝕖 𝕠𝕟 𝕐𝕠𝕦𝕣 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔽𝕝𝕚𝕘𝕙𝕥 𝕋𝕚𝕔𝕜𝕖𝕥: ℂ𝕒𝕝𝕝 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖: ℝ𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝔼𝕩𝕡𝕖𝕕𝕚𝕒 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕕𝕚𝕒𝕝𝕚𝕟𝕘 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 (𝕆̲𝕋̲𝔸̲) 𝕠𝕣 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 𝕠𝕣 ＋５𝟚~８𝟘𝟘~𝟡５𝟛~５０𝟘𝟙 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖.

Yes, Expedia's 24-hour cancellation policy allows you to cancel for a full refund if the booking +𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX) was made at least 2 days before departure ＋５２－８００－９５３－５００１(MX). Refundable tickets can be canceled or changed without fees.

How much is a cancellation fee on Expedia?

Expedia itself does not charge for cancellations, but fees may arise from the travel provider. For example, airlines or hotels may impose their own cancellation fees, +𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX).

What is Expedia's cancellation plan?

Yes, Expedia has a 𝟤𝟦-hour cancellation policy allowing a full refund if you cancel within 𝟤𝟦 hours of booking. For assistance or to process a cancellation, contact customer care at+𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX).

Does Expedia have a grace period?

Expedia does not charge a penalty if you cancel your trip within the 24-hour grace period +𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX). Non-refundable tickets can be changed or canceled without a fee, though you will receive a travel credit instead of a refund.

Is there a grace period for Expedia cancellation?

Absolutely, Expedia provides a 24-hour refund policy +𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX) (𝐎𝐓𝐀). If you need to cancel your flight, you can do so without a fee within 24 hours after your booking.

How do I avoid Expedia cancellation fee?

Expedia cancellation policy includes a "24-Hours free Cancellation" which allows you to cancel most bookings within 24 hours of booking without facing a penalty +𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX), provided the check-in date is at least 7 days away. This applies to most reservations, flights, and car rentals.

How do I cancel a flight on Expedia without a penalty?

Expedia offers a 24-hour refund policy. If you need to cancel your flight, you can do so without any fees within 24 hours of booking. You can cancel either online or by contacting their customer support at +𝟙-𝟠𝟠𝟠-𝟞𝟠𝟡-𝟙𝟡𝟚𝟚 or ＋５２－８００－９５３－５００１(MX).

Does Expedia charge cancellation fees? For your convenience, cancellations can be made either online or by Contacting their support at +𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX) To speak with Expedia customer service, call +𝟙-𝟠𝟝𝟝-𝟟𝟙𝟞-𝟛𝟚𝟠𝟚 or ＋５２－８００－９５３－５００１(MX) Expedia itself does not charge for cancellations, but fees may arise from the travel provider.

Can I change my name on a flight ticket with Expedia? Yes, you can change the name on your Expedia flight ticket, though fees and restrictions may apply depending on the Airline. To make the change, contact Expedia Flights customer service at +1-800-689-19.22 or ＋52~800~953~5001 or +1-800-689-19.22 or ＋52~800~953~5001 for assistance.

Booking travel plans can sometimes lead to small errors, such as a misspelled passenger name. If you've booked a ticket on Expedia and noticed that the name needs to be changed or edited, don't worry—there are ways to address this issue. Here's a comprehensive guide to help you through the process. If at any point you require assistance, you can always contact Expedia's customer service at +1-800-689-19.22 or ＋52~800~953~5001 or ＋52~800~953~5001.

Can I change my name on a flight ticket with Expedia? Yes, you can change the name on your Expedia flight ticket, though fees and restrictions may apply depending on the Airline. To make the change, contact Expedia Flights customer service at +1-800-689-19.22 or ＋52~800~953~5001 or +1-800-689-19.22 or ＋52~800~953~5001 for assistance.
 

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 Expedia 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚟𝚒𝚜𝚒𝚝 𝚝𝚑𝚎 Expedia 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 or +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 𝚄𝚂𝙰 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  Expedia 𝚂𝚝𝚊𝚝𝚎𝚜 𝙾𝚃𝙰.

If you find yourself needing to make a name change, the fastest way to do so is by contacting Expedia Airlines customer service at 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01. Steps to Change the Name on Your Expedia Flight Ticket: Call Customer Service: Reach out to Expedia Airlines by dialing 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 to speak with a representative.

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 Expedia?

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 Expedia? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 Expedia 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

You can request a name change on a Expedia Airlines ticket, but it is generally limited to minor corrections (like spelling errors). Full name changes are usually not permitted. For assistance, call their toll-free number at +1-877-776-1237. A representative will provide guidance, and documentation may be required.

Locate your booking under "Manage My Trip," input your reservation information, and choose the flight Name change option  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 . Ensure you settle any relevant Name adjustment charges and await confirmation from Expedia 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 upon completing the process  +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01. 

How can I change my last name to Expedia? To change your last name on a Expedia Airlines ticket, call their toll-free number at ＋【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01. A representative will assist you with the process, which may require legal documentation such as a marriage certificate or court order.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 Expedia 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01. 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01.

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 Expedia 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 Expedia 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.

 

𝙲𝚊𝚗 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚖𝚢 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?

 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒂 Expedia 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 Expedia 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒆𝒓𝒗𝒊𝒄𝒆 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  .(𝑶𝑻𝑨) 𝒐𝒓 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  .(𝑶𝑻𝑨).

 

𝙷𝚘𝚠 𝚝𝚘 𝙷𝚊𝚗𝚍𝚕𝚎 𝚊 𝙽𝚊𝚖𝚎 𝙲𝚑𝚊𝚗𝚐𝚎 𝚘𝚗 Expedia?

 

𝙲𝚊𝚗 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜? 𝚈𝚎𝚜, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚌𝚑𝚊𝚗𝚐𝚎 𝚢𝚘𝚞𝚛 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚗𝚊𝚖𝚎 𝚘𝚗𝚕𝚒𝚗𝚎 𝚘𝚛 𝚘𝚏𝚏𝚕𝚒𝚗𝚎. 𝚄𝚜𝚎 𝚝𝚑𝚎𝚒𝚛 𝚠𝚎𝚋𝚜𝚒𝚝𝚎 𝚘𝚛 𝚖𝚘𝚋𝚒𝚕𝚎 𝚊𝚙𝚙, 𝚘𝚛 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚊𝚝 , ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  .(𝙾𝚃𝙰) 𝚘𝚛 ,++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  .(𝙾𝚃𝙰)) 𝚏𝚘𝚛 𝚐𝚞𝚒𝚍𝚊𝚗𝚌𝚎 𝚘𝚗 𝚛𝚎𝚚𝚞𝚎𝚜𝚝𝚒𝚗𝚐 𝚊 𝚗𝚊𝚖𝚎 𝚊𝚍𝚓𝚞𝚜𝚝𝚖𝚎𝚗𝚝.

Expedia Airlines: Your 𝔾o-To for Fle𝕩ible Travel Yes, Expedia Airlines calling【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 (OTA) or 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 offers a 24-hour risk-free cancellation Policy. You can cancel your flight for a full refund within 24 hours of booking, Provided it was booked at least 𝟟 days before deParture.

𝚑𝚘𝚠 𝚌𝚊𝚗 𝚒 𝚖𝚘𝚍𝚒𝚏𝚢 𝚊 𝚝𝚒𝚌𝚔𝚎𝚝 𝚏𝚘𝚛 Expedia 𝓐𝓲𝓻𝓵𝓲𝓷𝓮𝓼?

Flight Changes Made Easy: Expedia Airlines calling【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 (OTA) or 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 offers a 24-hour risk-free cancellation Policy. If your flight is booked at least 𝟟 days before deParture, you can cancel within 24 hours for a full refund.

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 Expedia 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝

 

𝚝𝚘 𝚖𝚘𝚍𝚒𝚏𝚢 𝚝𝚑𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊 Expedia 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 Expedia 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚞𝚙𝚙𝚘𝚛𝚝 𝚘𝚛 𝚝𝚑𝚎 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝚘𝚝𝚊) 𝚘𝚛 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝚘𝚝𝚊) 𝚍𝚒𝚛𝚎𝚌𝚝𝚕𝚢. Expedia 𝚐𝚎𝚗𝚎𝚛𝚊𝚕𝚕𝚢 𝚍𝚘𝚎𝚜 𝚗𝚘𝚝 𝚊𝚌𝚌𝚎𝚙𝚝 𝚎𝚗𝚝𝚒𝚛𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚌𝚑𝚊𝚗𝚐𝚎𝚜; 𝚑𝚘𝚠𝚎𝚟𝚎𝚛, 𝚖𝚒𝚗𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗𝚜 𝚘𝚛 𝚎𝚍𝚒𝚝𝚜 𝚖𝚊𝚢 𝚋𝚎 𝚊𝚕𝚕𝚘𝚠𝚎𝚍 𝚠𝚒𝚝𝚑 𝚙𝚛𝚘𝚙𝚎𝚛 𝚙𝚛𝚘𝚘𝚏 𝚊𝚗𝚍 𝚊𝚝 𝚊 𝚌𝚘𝚜𝚝.

 

𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚘𝚗 Expedia 𝚏𝚕𝚒𝚐𝚑𝚝 𝚝𝚒𝚌𝚔𝚎𝚝

Is there a cancellation fee with Expedia?

𝐘𝐞𝐬, Expedia Airlines 𝐨𝐟𝐟𝐞𝐫𝐬 𝐟𝐫𝐞𝐞 𝐜𝐚𝐧𝐜𝐞𝐥𝐥𝐚𝐭𝐢𝐨𝐧𝐬 𝐰𝐢𝐭𝐡𝐢𝐧 𝟐𝟒 𝐡𝐨𝐮𝐫𝐬 𝐨𝐟 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐟𝐮𝐥𝐥 𝐫𝐞𝐟𝐮𝐧𝐝, 𝐩𝐫𝐨𝐯𝐢𝐝𝐞𝐝 𝐭𝐡𝐞 𝐛𝐨𝐨𝐤𝐢𝐧𝐠 𝐢𝐬 𝐦𝐚𝐝𝐞 𝐚𝐭 𝐥𝐞𝐚𝐬𝐭 𝟕 𝐝𝐚𝐲𝐬 𝐛𝐞𝐟𝐨𝐫𝐞 𝐝𝐞𝐩𝐚𝐫𝐭𝐮𝐫𝐞. 𝐅𝐨𝐫 𝐚𝐬𝐬𝐢𝐬𝐭𝐚𝐧𝐜𝐞, 𝐜𝐚𝐥𝐥 +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 or +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝐟𝐨𝐫 𝐟𝐮𝐫𝐭𝐡𝐞𝐫 𝐬𝐮𝐩𝐩𝐨𝐫𝐭.

How long after booking Expedia can you cancel?

Expedia Airlines has a 24-hour risk-free cancellation Policy by calling【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (OTA) or 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】.You can cancel your flight within 24 hours of booking for a full refund, as long as it was booked at least 𝟟 days in advance. Call【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (OTA) or 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 for helP.

 

𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 Expedia 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝔹𝕒𝕤𝕚𝕔 𝔼𝕔𝕠𝕟𝕠𝕞𝕪 𝕥𝕚𝕔𝕜𝕖𝕥. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  Expedia ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝕥𝕠 𝕙𝕒𝕧𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕣𝕖𝕔𝕥𝕚𝕗𝕚𝕖𝕕 𝕚𝕗 𝕚𝕥 𝕨𝕒𝕤 𝕖𝕟𝕥𝕖𝕣𝕖𝕕 𝕖𝕣𝕣𝕠𝕟𝕖𝕠𝕦𝕤𝕝𝕪, 𝕤𝕦𝕔𝕙 𝕒𝕤 𝕨𝕚𝕥𝕙 𝕒 𝕞𝕚𝕤𝕤𝕡𝕖𝕝𝕝𝕖𝕕 𝕠𝕣 𝕠𝕞𝕚𝕥𝕥𝕖𝕕 𝕞𝕚𝕕𝕕𝕝𝕖 𝕟𝕒𝕞𝕖.

 

 

𝙷𝚘𝚠 𝚍𝚘 𝙸 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚖𝚢 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝?

 

𝑻𝒐 𝒄𝒉𝒂𝒏𝒈𝒆 𝒕𝒉𝒆 𝒏𝒂𝒎𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒂𝒊𝒓𝒍𝒊𝒏𝒆 𝒕𝒊𝒄𝒌𝒆𝒕, 𝒗𝒊𝒔𝒊𝒕 𝒕𝒉𝒆 Expedia 𝒘𝒆𝒃𝒔𝒊𝒕𝒆 𝒂𝒏𝒅 𝒔𝒆𝒍𝒆𝒄𝒕 𝒕𝒉𝒆 "𝑴𝒂𝒏𝒂𝒈𝒆 𝑴𝒚 𝑩𝒐𝒐𝒌𝒊𝒏𝒈" 𝒐𝒑𝒕𝒊𝒐𝒏, 𝒄𝒂𝒍𝒍 𝒄𝒖𝒔𝒕𝒐𝒎𝒆𝒓 𝒔𝒖𝒑𝒑𝒐𝒓𝒕 +【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01, 𝒐𝒓 𝒄𝒐𝒏𝒕𝒂𝒄𝒕 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝑶𝑻𝑨) 𝒐𝒓 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝑶𝑻𝑨). 𝑭𝒐𝒓 𝒔𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒕 𝒄𝒉𝒂𝒏𝒈𝒆𝒔, 𝒑𝒓𝒐𝒗𝒊𝒅𝒆 𝒂𝒄𝒄𝒖𝒓𝒂𝒕𝒆 𝒊𝒏𝒇𝒐𝒓𝒎𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝒄𝒐𝒎𝒑𝒍𝒆𝒕𝒆 𝒕𝒉𝒆 𝒏𝒆𝒄𝒆𝒔𝒔𝒂𝒓𝒚 𝒑𝒂𝒑𝒆𝒓𝒘𝒐𝒓𝒌.

𝚃𝚘 𝚌𝚑𝚊𝚗𝚐𝚎 𝚘𝚛 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚊 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚊𝚗 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝, 𝚌𝚘𝚗𝚝𝚊𝚌𝚝 𝚝𝚑𝚎𝚒𝚛 𝚌𝚞𝚜𝚝𝚘𝚖𝚎𝚛 𝚜𝚎𝚛𝚟𝚒𝚌𝚎 𝚊𝚝  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝙾𝚃𝙰) (𝙾𝚃𝙰) 𝚘𝚛  ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝙾𝚃𝙰) 𝙾𝚁 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  (𝙾𝚃𝙰) (𝙾𝚃𝙰). 𝚃𝚑𝚎𝚢 𝚠𝚒𝚕𝚕 𝚐𝚞𝚒𝚍𝚎 𝚢𝚘𝚞 𝚝𝚑𝚛𝚘𝚞𝚐𝚑 𝚝𝚑𝚎 𝚗𝚊𝚖𝚎 𝚌𝚘𝚛𝚛𝚎𝚌𝚝𝚒𝚘𝚗 𝚙𝚛𝚘𝚌𝚎𝚜𝚜 𝚊𝚗𝚍 𝚊𝚙𝚙𝚕𝚒𝚌𝚊𝚋𝚕𝚎 𝚏𝚎𝚎𝚜.

𝕋𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝕟𝕒𝕞𝕖 𝕠𝕟 𝕒 Expedia 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕧𝕚𝕤𝕚𝕥 𝕥𝕙𝕖 Expedia 𝒜𝒾𝓇𝓁𝒾𝓃ℯ𝓈 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕥𝕙𝕣𝕠𝕦𝕘𝕙  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 (𝕆𝕋𝔸) 𝕆ℝ【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 (𝕆𝕋𝔸) (𝕆𝕋𝔸) 𝕠𝕣  【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 (𝕆𝕋𝔸).

Steps to Change the Name on Your Expedia Flight Ticket: Call Customer Service: Reach out to Expedia Airlines by dialing 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 (O̲T̲A̲) or 【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01 to speak with a representative.5

 

𝙲𝚊𝚗 𝙸 𝚝𝚛𝚊𝚗𝚜𝚏𝚎𝚛 𝚊𝚗 Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚝𝚒𝚌𝚔𝚎𝚝 𝚝𝚘 𝚊𝚗𝚘𝚝𝚑𝚎𝚛 𝚙𝚎𝚛𝚜𝚘𝚗?

 

𝙷𝚘𝚠𝚎𝚟𝚎𝚛, 𝚢𝚘𝚞 𝚌𝚊𝚗 𝚏𝚘𝚕𝚕𝚘𝚠 𝚝𝚑𝚎𝚜𝚎 𝚐𝚞𝚒𝚍𝚎𝚕𝚒𝚗𝚎𝚜 𝚏𝚘𝚛 𝚑𝚊𝚗𝚍𝚕𝚒𝚗𝚐 𝚜𝚒𝚖𝚒𝚕𝚊𝚛 𝚜𝚒𝚝𝚞𝚊𝚝𝚒𝚘𝚗𝚜: 𝚃𝚒𝚌𝚔𝚎𝚝 𝚃𝚛𝚊𝚗𝚜𝚏𝚎𝚛 𝙿𝚘𝚕𝚒𝚌𝚢: Expedia 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 ++【+𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚】 or ＋５2~８00~9５3~５０01  𝚝𝚢𝚙𝚒𝚌𝚊𝚕𝚕𝚢 𝚍𝚘𝚎𝚜 𝚗𝚘𝚝 𝚙𝚎𝚛𝚖𝚒𝚝 𝚝𝚑𝚎 𝚝𝚛𝚊𝚗𝚜𝚏𝚎𝚛 𝚘𝚏 𝚝𝚒𝚌𝚔𝚎𝚝𝚜 𝚝𝚘 𝚊𝚗𝚘𝚝𝚑𝚎𝚛 𝚙𝚎𝚛𝚜𝚘𝚗.
 

𝙲𝚊𝚗 𝚢𝚘𝚞 𝚌𝚑𝚊𝚗𝚐𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛 𝚗𝚊𝚖𝚎 𝚘𝚗 𝚏𝚕𝚒𝚐𝚑𝚝?

𝕀𝕥 𝕚𝕤 𝕟𝕠𝕥 𝕒𝕝𝕝𝕠𝕨𝕖𝕕 𝕥𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕪𝕠𝕦𝕣 𝕟𝕒𝕞𝕖 𝕔𝕠𝕞𝕡𝕝𝕖𝕥𝕖𝕝𝕪. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕦𝕡 𝕥𝕠 𝕥𝕙𝕣𝕖𝕖 𝕠𝕣 𝕗𝕠𝕦𝕣 𝕝𝕖𝕥𝕥𝕖𝕣𝕤 𝕚𝕟 𝕪𝕠𝕦𝕣 𝕗𝕚𝕣𝕤𝕥, 𝕞𝕚𝕕𝕕𝕝𝕖, 𝕠𝕣 𝕝𝕒𝕤𝕥 𝕟𝕒𝕞𝕖. 𝕐𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕔𝕠𝕟𝕗𝕚𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕚𝕤 𝕣𝕖𝕢𝕦𝕚𝕣𝕖𝕕, 𝕒𝕟𝕕 𝕕𝕖𝕡𝕖𝕟𝕕𝕚𝕟𝕘 𝕠𝕟 𝕥𝕙𝕖 𝕥𝕪𝕡𝕖 𝕠𝕗 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕥𝕙𝕖𝕣𝕖 𝕔𝕒𝕟 𝕓𝕖 𝕒 𝕟𝕒𝕞𝕖 𝕔𝕠𝕣𝕣𝕖𝕔𝕥𝕚𝕠𝕟 𝕔𝕠𝕤𝕥. 𝔽𝕠𝕣 𝕞𝕠𝕣𝕖 𝕕𝕖𝕥𝕒𝕚𝕝𝕤, 𝕕𝕚𝕒𝕝 𝕊𝕠𝕦𝕥𝕙𝕨𝕖𝕤𝕥 + +𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 𝕥𝕙𝕖 𝕗𝕝𝕚𝕘𝕙𝕥 𝕖𝕩𝕡𝕖𝕣𝕥𝕤 𝕟𝕦𝕞𝕓𝕖𝕣.

Expedia Airlines  offers a flexible cancellation ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 or ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚. policy designed to give passengers peace of mind. Under their 24-hour cancellation policy, you can cancel or modify your flight ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 or ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚. within 24 hours of booking without incurring any fees, as long as the ticket was purchased at least 24 hours before the flight's departure. ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 or ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚. For non-refundable tickets, cancellations after the 24-hour window may result in a credit for future travel rather than a refund. 

Expedia Airlines  offers a 24-hour cancellation policy, allowing passengers (𝗢𝗧𝗔), + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 OR ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  to cancel or modify their flights within 24 hours of booking without any cancellation fees. For assistance, you can reach customer support at ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 or ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚. This flexible policy ensures travelers can book with confidence and adjust plans if needed. 
 

Expedia Airlines  Provides a 24-hour cancellation Policy 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】. If you book a flight at least seven days before deParture and cancel within 24 hours of booking 【++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 】 (𝙾𝚃𝙰)]), you are eligible for a full refund without any cancellation fees.

Yes!, 𝚂𝚘𝚞𝚝𝚑𝚠𝚎𝚜𝚝 𝙰𝚒𝚛𝚕𝚒𝚗𝚎𝚜 𝚊𝚍𝚑𝚎𝚛𝚎𝚜 𝚝𝚘 𝚊 𝟸𝟺-𝚑𝚘𝚞𝚛 𝚌𝚊𝚗𝚌𝚎𝚕𝚕𝚊𝚝𝚒𝚘𝚗 𝚙𝚘𝚕𝚒𝚌𝚢  𝚠𝚑𝚎𝚛𝚎 𝚙𝚊𝚜𝚜𝚎𝚗𝚐𝚎𝚛𝚜 𝚌𝚊𝚗 𝚌𝚊𝚗𝚌𝚎𝚕 𝚘𝚛 𝚌𝚑𝚊𝚗𝚐𝚎 𝚝𝚑𝚎𝚒𝚛 𝚏𝚕𝚒𝚐𝚑𝚝𝚜 𝚊𝚝 + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  or ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝚄𝚂𝙰 𝚊𝚗𝚍 + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  or ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚  𝚠𝚒𝚝𝚑𝚒𝚗 𝟸𝟺 𝚑𝚘𝚞𝚛𝚜 𝚘𝚏 𝚋𝚘𝚘𝚔𝚒𝚗𝚐 𝚠𝚒𝚝𝚑𝚘𝚞𝚝 𝚒𝚗𝚌𝚞𝚛𝚛𝚒𝚗𝚐 𝚊 𝚌𝚊𝚗𝚌𝚎𝚕𝚕𝚊𝚝𝚒𝚘𝚗 𝚏𝚎𝚎
 

What's Expedia's cancellation policy now? Yes.Expedia 𝔸𝕚𝕣𝐥𝐢𝐧𝐞𝐬 offers flexible cancellation options ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 OR ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 If you cancel within 24 hours of booking ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 OR ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 you can receive a full refund. For bookings made after 24 hours, you can receive a credit for the fare amount minus any applicable fees ＋++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 (𝗢𝗧𝗔), + ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 OR ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 Refunds are available for refundable tickets, while non-refundable tickets offer travel credit for future flights.

What is the cancellation policy for Expedia 𝔸𝕚𝕣𝐥𝐢𝐧𝐞𝐬?Yes!, Expedia 𝔸𝕚𝕣𝐥𝐢𝐧𝐞𝐬 allows passengers to cancel flights within 24 hours of booking for a full refund ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 OR ++𝟙~(𝟠𝟠𝟠)~𝟞𝟠𝟡~𝟙𝟡.𝟚𝟚 regardless of fare type, as long as the booking was made at least 24 hours before departure.

Yes!, Expedia Airlines allows passengers to cancel flights within 24 hours of booking for a full refund +1=800=689=19.22  or ++1=800=689=19.22 , regardless of fare type, as long as the booking was made at least 24 hours before departure.

What is the cancelation policy for Expedia Airlines ?

Expedia Airlines adheres to a 24-hour cancellation policy  where passengers can cancel or change their flights at + +1=800=689=19.22  or ++1=800=689=19.22 USA and + +1=800=689=19.22  or ++1=800=689=19.22 within 24 hours of booking without incurring a cancellation fee.

Does Expedia have a cancellation policy?

Does Expedia's have a cancellation policy?   Expedia Airlines 24-hour cancellation policy allows passengers to cancel their flights for a full refund at +1=800=689=19.22  or +1=800=689=19.22 within 24-hour cancellation of booking, provided the flight is at least 7 days away.

Expedia's Ticket Cancellation Cost and Refund Policy?

Yes, +1=800=689=19.22  or +1=800=689=19.22 Expedia Airlines ticket costs depend on the route, travel class, and booking date. The airline offers various fare types, including Economy, Business, and First Class. Refunds are based on the ticket type-some tickets are fully refundable, while others may have cancellation fees. If you need to cancel your flight, contact Expedia Airlines at+1=800=689=19.22  or +1=800=689=19.22 for assistance with refunds. Processing refunds may take up to 30 days, and the amount refunded depends on the fare conditions and time of cancellation.