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I think we've all heard of the word, bacteria. Bacteria. And we normally associate it with negative things.
แžแŸ’แž‰แžปแŸ†แž‚แžทแžแžแžถแž™แžพแž„แž‘แžถแŸ†แž„แžขแžŸแŸ‹แž‚แŸ’แž“แžถ แž’แŸ’แž›แžถแž”แŸ‹แž›แžบแž–แžถแž€แŸ’แž™แžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แž”แžถแž€แŸ‹แžแŸแžšแžธ แž แžพแž™แž‡แžถแž’แž˜แŸ’แž˜แžแžถแž™แžพแž„แžแŸ‚แž„ แž—แŸ’แž‡แžถแž”แŸ‹แžœแžถแž‘แŸ…แž“แžนแž„ แžขแŸ’แžœแžธแŸ— แžŠแŸ‚แž›แžœแžทแž‡แŸ’แž‡แž˜แžถแž“ แž™แžพแž„แž“แžทแž™แžถแž™แžแžถ แž”แžถแžแŸ‹แžแŸแžšแžธ แž‘แžถแŸ†แž„แž“แŸ„แŸ‡แž‡แžถ แž˜แŸแžšแŸ„แž‚แŸ” แžขแž‰แŸ’แž…แžนแž„แž แžพแž™แž‡แžถแž‘แžผแž‘แŸ… แž—แŸ’แž‡แžถแž”แŸ‹แžœแžถแž‘แžถแŸ†แž„แž“แŸ„แŸ‡แž‘แŸ…แž“แžนแž„ แž˜แŸแžšแŸ„แž‚ แž แžพแž™แžœแžถ แžแžถแž˜แž–แžทแžแž‘แŸ…แž‡แžถแž˜แŸแžšแŸ„แž‚ แž–แžฝแž€แžœแžถ แž”แž„แŸ’แž€ แž“แžผแžœแžšแžฟแž„แžขแžœแžทแž‡แŸ’แž‡แž˜แžถแž“แž‡แžถแž…แŸ’แžšแžพแž“แŸ” แžฌ แž™แŸ‰แžถแž„แž แŸ„แž…แžŽแžถแžŸแŸ‹ แžแžถแž˜แž…แŸ†แžŽแžถแž”แŸ‹แžขแžถแžšแž˜แŸ’แž˜แžŽแŸแž‘แžผแž‘แŸ… แž˜แž“แžปแžŸแŸ’แžŸแž™แžพแž„ แž‡แžฟแžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธแž‘แžถแŸ†แž„แž“แŸ„แŸ‡ แž”แž„แŸ’แž€ แžšแžฟแž„แžขแžœแžทแž‡แŸ’แž‡แž˜แžถแž“แž…แŸ’แžšแžพแž“แŸ” แžขแž‰แŸ’แž…แžนแž„แžŸแžผแž˜ แž…แžปแŸ‡แž”แž‰แŸ’แž‡แžธแž–แžฝแž€แžœแžถ แžŠแžพแž˜แŸ’แž”แžธแžขแŸ„แž™แž”แŸ’แžšแžถแž€แžŠแžแžถแž™แžพแž„แžŸแŸ’แž‚แžถแž›แŸ‹ แž แžพแž™ แž™แžพแž„แžŸแŸ’แž‚แžถแž›แŸ‹แžŠแžผแž…แž‚แŸ’แž“แžถแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžšแžฟแž„แžขแžถแž€แŸ’แžšแž€แŸ‹แžŠแŸ‚แž›แž–แžฝแž€แžœแžถแž’แŸ’แžœแžพ แž–แžฝแž€แžœแžถแž”แž„แŸ’แž€แž“แžผแžœแž‡แŸ†แž„แžบแž‡แžถแž…แŸ’แžšแžพแž“ แžŠแžผแž…แž‡แžถ แŸ– แžšแž”แŸแž„, แž‡แŸ†แž„แžบแžกแŸ‚แž˜แŸ”
I mean, I could go on and on. You know, pretty much any time-- well, I'll be careful here.
แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แž“แŸแž™แžแžถ แžแŸ’แž‰แžปแŸ†แžขแžถแž…แž”แž“แŸ’แž แž“แžทแž„ แž”แž“แŸ’แž แž‘แŸ…แž‘แŸ€แžแŸ” แžขแŸ’แž“แž€แžŠแžนแž„แž‘แŸ แž˜แžถแž“แž…แŸ’แžšแžพแž“ แžแŸ’แž‰แžปแŸ†แžแŸ’แžšแžผแžœแž”แŸ’แžšแž™แžแŸ’แž“แŸแžแŸ’แžšแž„แŸ‹แž‘แžธแž“แŸแŸ‡แŸ” แž“แŸ…แž–แŸแž›แžŽแžถแž‚แŸ แž“แžทแž™แžถแž™แžŠแž›แŸ‹ แž‡แŸ†แž„แžบแž†แŸ’แž›แž„ แž‡แžถแž‰แžนแž€แž‰แžถแž”แŸ‹แžœแžถแž”แž„แŸ’แž€แžšแžกแžพแž„ แžŠแŸ„แž™แž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แžœแžถแž€แŸแžขแžถแž…แž”แž„แŸ’แž€แžกแžพแž„ แžŠแŸ„แž™ แžœแžธแžšแžปแžŸ แž•แž„แžŠแŸ‚แžšแŸ” แž€แžถแžšแž†แŸ’แž›แž„ แž‡แžถแž‘แžผแž‘แŸ… แž‡แžถแžขแŸ’แžœแžธแžŠแŸ‚แž›แž…แžผแž›แž‘แŸ…แž€แŸ’แž“แžปแž„แžแŸ’แž›แžฝแž“แžขแŸ’แž“แž€ แž แžพแž™ แž™แž€แž”แŸ’แžšแŸ€แž”แž›แžพแžšแžถแž„แž€แžถแž™แžขแŸ’แž“แž€ แžŠแŸ„แž™แž…แž˜แŸ’แž›แž„แžแŸ’แž›แžฝแž“แžœแžถ แž แžพแž™ แž“แŸ…แž€แŸ’แž“แžปแž„แžŠแŸ†แžŽแžพแžšแž€แžถแžšแž“แŸ„แŸ‡ แž’แŸ’แžœแžพแžขแŸ„แž™แžขแŸ’แž“แž€แžˆแžบ แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แž€แžถแžšแž†แŸ’แž›แž„แž”แžถแž€แŸ‹แžแŸแžšแžธ , แžแŸ’แž‰แžปแŸ†แžŸแžปแŸ†แžŸแžšแžŸแŸแžšแŸ”
And this whole perception of bacteria being a bad thing is probably a good reason why almost any soap you see now will say antibacterial on it.
แž แžพแž™แž€แžถแžšแž™แž›แŸ‹แžƒแžพแž‰แžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž‡แžถแžšแžฟแž„แžขแžถแž€แŸ’แžšแž€แŸ‹ แž”แŸ’แžšแž แŸ‚แž›แž‡แžถแž˜แžผแž›แž แŸแžแžปแž›แŸ’แžขแž˜แžฝแž™ แžŠแŸ‚แž›แžŠแžผแž…แŸ’แž“แŸแŸ‡แž แžพแž™ แž”แžถแž“แž‡แžถแžŸแžถแž”แŸŠแžผ แžŠแŸ‚แž›แžขแŸ’แž“แž€แžƒแžพแž‰แžฅแž›แžผแžœแž“แŸแŸ‡ แž“แžนแž„แžŸแžšแžŸแŸแžšแž›แžพแžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธ
Because the makers of the soap know that in conventional thinking, bacteria are viewed as a negative thing. And you're like, OK, Sal, I know where you're going with this. Bacteria isn't all bad.
แž–แžธแž–แŸ’แžšแŸ„แŸ‡ แžขแŸ’แž“แž€แž•แž›แžทแžแžŸแžถแž”แŸŠแžผ แžŠแžนแž„แž–แžธแž€แžถแžšแžŸแž“แŸ’แž˜แžแŸ‹แž‡แžถแž‘แžผแž‘แŸ… แž‚แžทแžแžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธ แžแŸ’แžšแžผแžœแž”แžถแž“แž‚แŸแž‚แžทแžแžแžถ แž‡แžถแžšแžฟแž„แžขแžœแžทแž‡แŸ’แž‡แž˜แžถแž“แŸ” แž แžพแž™แžขแŸ’แž“แž€แž…แžผแž›แž…แžทแžแŸ’แž , OK แžแŸ’แž‰แžปแŸ†แžŠแžนแž„แž€แž“แŸ’แž›แŸ‚แž„แžŽแžถ แžŠแŸ‚แž›แžขแŸ’แž“แž€แž“แžนแž„แž‚แžนแžแžŠแž›แŸ‹แŸ” แž”แžถแž€แŸ‹แžแŸแžšแžธแž˜แžทแž“แžขแžถแž€แŸ’แžšแž€แŸ‹แž‘แžถแŸ†แž„แžขแžŸแŸ‹แž“แŸ„แŸ‡แž‘แŸแŸ” แž˜แžถแž“แž”แžถแž€แŸ‹แžแŸแžšแžธแžแŸ’แž›แŸ‡แž›แŸ’แžขแŸ” แžงแž‘แžถแž แžšแžŽแŸ, แž‘แžนแž€แžŠแŸ„แŸ‡แž‚แŸ„แž‡แžผแžš แžแŸ’แž‰แžปแŸ†แžขแžถแž…แžŠแžถแž€แŸ‹แž”แž‰แŸ’แž…แžผแž›แž”แžถแž€แŸ‹แžแŸแžšแžธ แž‘แŸ…แž€แŸ’แž“แžปแž„แž‘แžนแž€แžŠแŸ„แŸ‡แž‚แŸ„แžแŸ’แž›แŸ‡ แž แžพแž™ แžœแžถแž“แžนแž„แž‡แžฝแž™ แž”แž„แŸ’แž€แžพแžแž”แžถแž“แž‘แžนแž€แžŠแŸ„แŸ‡แž‚แŸ„แž‡แžผแžš
And that's obviously a good thing. It's a delicious thing to eat. You say, well, I know I have bacteria in my gut.
แž‡แžถแž€แŸ‹แž…แŸ’แž”แžถแžŸแŸ‹แžŽแžถแžŸแŸ‹ แž“แŸ„แŸ‡แž‡แžถแžšแžฟแž„แž›แŸ’แžขแŸ” แžœแžถแž‡แžถแžšแž”แžŸแŸ‹แž‰แžปแŸ†แžถแž†แŸ’แž„แžถแž‰แŸ‹แŸ” แžขแŸ’แž“แž€แžขแžถแž…แž“แžทแž™แžถแž™แžแžถ แžแŸ’แž‰แžปแŸ†แžŠแžนแž„แž แžพแž™แžแžถ แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แž”แžถแž€แŸ‹แžแŸแžšแžธ แž“แŸ…แž“แžนแž„แž–แŸ„แŸ‡แžœแŸ€แž“แžแŸ’แž‰แžปแŸ†แŸ” แžœแžถแž‡แžฝแž™ แžšแŸ†แž›แžถแž™แžขแžถแž แžถแžš แžขแŸ„แž™แŸ” แž แžพแž™แž‘แžถแŸ†แž„แž“แŸ„แŸ‡แž‡แžถแž€แžถแžšแž–แžทแž แž”แžปแŸ‰แž“แŸ’แžแŸ‚แžขแŸ’แž“แž€แž”แŸ’แžšแž แŸ‚แž› แž‡แžถแž“แžทแž™แžถแž™แžแžถ แž”แžพแžแŸ’แž›แžนแž„แžแŸ’แž›แŸ‚แž„แž‘แŸ… แžแŸ’แž‰แžปแŸ†แž“แŸ…แžแŸ‚แž‚แžทแžแžแžถ แž”แžถแžแŸ‹แžแŸแžšแžธ แž‡แžถแžšแž”แžŸแŸ‹แžขแžถแž€แŸ’แžšแž€แŸ‹แŸ” แžแŸ’แž‰แžปแŸ†แžŸแžปแŸ†แžˆแžšแž‘แŸ…แž˜แŸ’แžแžถแž„ แž€แŸ’แž“แžปแž„แž€แžถแžš แžแžแŸ†แžถแž„ แž˜แžแžทแž‚แŸ’แž“แžถแž“แŸแŸ‡ แžŠแŸ„แž™แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แž‘แŸ†แž“แŸ„แžšแž‘แŸ… แž€แžถแžšแž‡แŸ€แžŸแžœแžถแž„ แž‡แŸ’แžšแžพแžŸแž™แž€แžแžถแž„แžŽแžถแž˜แžฝแž™ แž“แŸƒแž€แžถแžšแžแžแžถแŸ†แž„ แž˜แžแžท แž“แŸƒแžœแžทแž‘แŸ’แž™แžถแžŸแžถแžŸแŸ’แžแŸ’แžš แžœแžทแžŠแŸแžขแžผแž“แŸแŸ‡แŸ” แž”แŸ’แžšแž แŸ‚แž›แž‡แžถ แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž’แŸ’แžœแžพ แž”แž‰แŸ’แž‡แžธแž‘แžถแŸ†แž„แž˜แžผแž› แžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แž“แžนแž„แžˆแžšแž›แžพ แž€แžถแžšแžแžแžถแŸ†แž„แž˜แžแžทแž‘แžถแŸ†แž„แžกแžถแž™ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž˜แžทแž“แž™แž€แž•แŸ’แž“แŸ‚แž€แžŽแžถแž˜แžฝแž™แž‘แŸแŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžแŸ’แž‰แžปแŸ†แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž…แž„แŸ‹แž…แž„แŸ’แžขแžปแž›แž”แž„แŸ’แž แžถแž‰แžแžถ แžขแŸ’แž“แž€แž‚แžบแž‡แžถแž•แŸ’แž“แŸ‚แž€แžŠแŸแž’แŸ†แž˜แžฝแž™ แžŠแŸ‚แž›แž”แž„แŸ’แž€แžพแžแžกแžพแž„แžŠแŸ„แž™แž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แž˜แžทแž“แž˜แŸ‚แž“แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚ แž–แŸ„แŸ‡แžœแŸ€แž“แžขแŸ’แž“แž€แž‘แŸแŸ” แžœแžถแž˜แžทแž“แž˜แŸ‚แž“แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž–แŸ„แŸ‡แžœแŸ€แž“ แžฌ แž‘แžนแž€แžŠแŸ„แŸ‡แž‚แŸ„แž‡แžผแžš แžŠแŸ‚แž›แžขแŸ’แž“แž€แžขแžถแž…แž“แžนแž„แž‰แŸ’แž‰แžถแŸ†แžป แžฌแž€แŸ แž€แŸ†แžŽแž€แž‡แžถแž”แŸ‹แž’แŸ’แž˜แŸแž‰ แžŠแŸ‚แž›แž”แž„แŸ’แž€แžšแžกแžพแž„แžŠแŸ„แž™ แž”แžถแž€แŸ‹แžแŸแžšแžธแž“แŸ„แŸ‡แž‘แŸแŸ” แžšแžผแž”แž—แžถแž–แž”แŸ‚แž”แž“แŸแŸ‡ แž แžพแž™แžŠแŸ‚แž›แž”แžถแž“แž”แž„แŸ’แž€แžพแžแžกแžพแž„แžŠแŸ„แž™ แž”แžถแž€แŸ‹แžแŸแžšแžธ แžŠแŸ‚แž› แž“แŸ…แž‘แžธแž”แŸ†แž•แžปแž แž”แž„แŸ’แž€แžš แž‘แŸ…แž‡แžถ แžŠแž„แŸ’แž€แžผแžœแžŸแžธแžปแž’แŸ’แž˜แŸแž‰ แž“แžทแž„ แžขแŸ’แžœแžธแŸ— แž•แŸ’แžŸแŸแž„แŸ—แž‘แŸ€แžแŸ” แž แžพแž™แžœแžถแž˜แžทแž“แž˜แŸ‚แž“แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž‡แžถ แž˜แžปแž“ แž›แžพแž•แŸ’แž‘แŸƒแž˜แžปแžแžขแŸ’แž“แž€แž‘แŸแŸ” แžแžถแž˜แž–แžทแžแž‘แŸ… แž”แžถแž€แŸ‹แžแŸแžšแžธ แžแŸ†แžŽแžถแž„แžขแŸ„แž™ แž—แžถแž‚แž…แŸ’แžšแžพแž“แž“แŸƒ แž€แŸ„แžŸแžทแž€แžถ แž›แžพแžแŸ’แž›แžฝแž“แžขแŸ’แž“แž€แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž แžพแž™ แžŸแŸ†แžšแžถแž”แŸ‹แžšแžถแž›แŸ‹ .. แž แžพแž™แž€แžถแžšแž–แžทแžแžŠแŸแž‚แžฝแžšแžŸแŸ’แžšแžกแžถแŸ†แž„แž€แžถแŸ†แž„แž“แŸแŸ‡แŸ” แžŸแŸ†แžšแžถแž”แŸ‹แžšแžถแž›แŸ‹ แž€แŸ„แžŸแžทแž€แžถ แž“แžธแž˜แžฝแž™แŸ— แž€แŸ’แž“แžปแž„แžšแžถแž„แž€แžถแž™ แž˜แž“แžปแžŸแŸ’แžŸแž™แžพแž„, แžšแžถแž›แŸ‹ แž€แŸ„แžŸแžทแž€แžถแž˜แž“แžปแžŸแŸ’แžŸ .. แžŠแžผแž…แŸ’แž“แŸแŸ‡แž‘แžถแŸ†แž„แž“แŸแŸ‡ แž‡แžถแž€แŸ„แžŸแžทแž€แžถ แžŠแŸ‚แž›แž˜แžถแž“ DNA แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€ แž“แŸ…แž€แŸ’แž“แžปแž„แž“แŸ„แŸ‡แŸ” แž แžพแž™แž–แžฝแž€แžœแžถแž˜แžถแž“แžŸแŸ’แž“แžผแž›, แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž“แžทแž™แžถแž™แžขแŸ†แž–แžธแžšแžฟแž„แž“แŸแŸ‡ แž“แŸ…แž–แŸแž›แž”แž“แŸ’แžแžทแž…แž‘แŸ€แž .. แžขแŸ’แž“แž€แž˜แžถแž“ แž”แžถแž€แŸ‹แžแŸแžšแžธ แŸขแŸ แŸ” แžฅแž›แžผแžœ แž…แŸ†แž›แžพแž™แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€แžขแžถแž…แž“แžทแž™แžถแž™แž”แžถแž“แžแžถ OK แžŠแŸ‚แž›แžแŸ’แžšแžนแž˜แžแŸ’แžšแžผแžœแž›แŸ’แž˜แž˜ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แž”แžถแž€แŸ‹แžแŸแžšแžธแž‘แžถแŸ†แž„แž“แŸแŸ‡ แžแŸ’แžšแžผแžœแžแŸ‚แžแžผแž…แž‡แžถแž„ แž€แŸ„แžŸแžทแž€แžถ แž˜แž“แžปแžŸแŸ’แžŸ แž™แžพแž„แžแŸ’แž›แžถแŸ†แž„แžŽแžถแžŸแŸ‹ แžŠแžผแž…แŸ’แž“แŸแŸ‡ แžœแžถแžแŸ’แžšแžผแžœแžแŸ‚แž‡แžถแž—แžถแž‚แžแžผแž…แž”แŸ†แž•แžปแž แž“แŸƒ แž˜แŸ‰แžถแžŸแŸ‹แžšแž”แžŸแŸ‹แž™แžพแž„แŸ” แžแŸ’แžšแžนแž˜แžแŸ’แžšแžผแžœแž แžพแž™แŸ” แžœแžถแž˜แžทแž“แž˜แŸ‚แž“ แž—แžถแž‚แž…แŸ’แžšแžพแž“แž“แŸƒแž˜แŸ‰แžถแžŸแŸ‹แžšแž”แžŸแŸ‹แžแŸ’แž›แžฝแž“แž™แžพแž„ แž‡แžถแž”แžถแž€แŸ‹แžแŸแžšแžธแž“แŸ„แŸ‡แž‘แŸ แž‘แŸ„แŸ‡แž‡แžถ แž™แžพแž„แž‚แžบแž‡แžถ แž”แžถแž€แŸ‹แžแŸแžšแžธแž—แžถแž‚แž…แŸ’แžšแžพแž“ แžŠแŸ„แž™แž•แŸ’แžขแŸ‚แž€แž›แžพ แž…แŸ†แž“แžฝแž“ แž€แŸ„แžŸแžทแž€แžถ แž‡แžถแž€แŸ‹แžŸแŸ’แžแŸ‚แž„แž€แŸแžŠแŸ„แž™แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž”แžพแž‘แŸ„แŸ‡แž‡แžถแžขแŸ’แž“แž€ แž™แž€แž‡แžถแžแžทแž‘แžนแž€แž‘แžถแŸ†แž„แžขแžŸแŸ‹แž…แŸแž‰แž–แžธแžแŸ’แž›แžฝแž“แžขแŸ’แž“แž€ แž“แŸ„แŸ‡ แž’แŸ€แž”แž“แžนแž„แž˜แŸ‰แžถแžŸแŸ‹ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž“แžนแž„แž˜แžถแž“ แž”แŸ’แžšแž แžถแž€แŸ‹แž”แŸ’แžšแž แŸ‚แž› แŸกแŸ % แž“แŸƒแž˜แŸ‰แžถแžŸแŸ‹แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡ แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แž‘แŸ†แž„แž“แŸ‹ แŸกแŸฅแŸ แž•แŸ„แž“ (แŸฆแŸจ แž‚แžธแžกแžผแž€แŸ’แžšแžถแž˜), แžแŸ’แž‰แžปแŸ†แž˜แžถแž“ แŸกแŸฅแž•แŸ„แž“(แŸฆ,8 แž‚แžธแžกแžผแž€แŸ’แžšแžถแž˜) แž”แžถแž€แŸ‹แžแŸแžšแžธ แžŸแžผแž˜แžแžถแž˜แžแŸ’แž‰แžปแŸ†แž”แž“แŸ’แžแž‘แŸ€แžแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡ แž‡แžถแž‘แžผแž‘แŸ…แž™แžพแž„แžแŸ‚แž„แž‚แžทแž แžŠแž›แŸ‹แžแŸ’แž›แžฝแž“แž™แžพแž„ แžŠแžผแž…แž‡แžถ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž“แžทแž„ แž€แŸ†แž–แžปแž„แžแŸ‚ แž‡แžทแŸ‡แž›แžพแž™แžพแž„ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž‡แžถแž„แž“แŸแŸ‡แž‘แŸ…แž‘แŸ€แž แž™แžพแž„แž แžถแž€แŸ‹แžŠแžผแž…แž‡แžถแžŸแž˜แŸ’แž–แž“แŸ’แž’แŸแž‡แžธแžœแžทแžแŸ” แž™แžพแž„แž แžถแž€แŸ‹แžŠแžผแž…แž‡แžถ แžŸแžแŸ’แžœแž–แžธแžš แžฌ แž˜แžทแž“แž˜แŸ‚แž“แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž‡แžถแžŸแžแŸ’แžœแž–แžธแžšแž‘แŸ แž‚แžบ แžŸแžแŸ’แžœแž–แžธแžšแž”แŸ’แžšแž—แŸแž‘แžŠแŸ‚แž›แž€แŸ†แž–แžปแž„แžšแžŸแŸ‹แž“แŸ…แž‡แžถแž˜แžฝแž™แž‚แŸ’แž“แžถ แž–แžธแž–แŸ’แžšแŸ„แŸ‡แžแŸ’แž‰แžผแŸ†แž˜แžทแž“แž˜แŸ‚แž“แž˜แžถแž“ แžแŸ’แžšแžนแž˜แžแŸ‚แž”แžถแž€แŸ‹แžแŸแžšแžธแž˜แžฝแž™แž”แŸ’แžšแž—แŸแž‘ แž›แžพแžแŸ’แž›แžฝแž“แžแŸ’แž‰แžปแŸ†แž‘แŸ แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แž”แžถแž€แŸ‹แžแŸแžšแžธแžšแžถแž”แŸ‹แž–แžถแž“แŸ‹แž”แŸ’แžšแž—แŸแž‘ แž›แžพแžแŸ’แž›แžฝแž“แžแŸ’แž‰แžปแŸ†แŸ” แž˜แžถแž“แž…แŸ†แž“แžฝแž“แž”แŸ’แžšแž—แŸแž‘แžแžปแžŸแŸ—แž‡แžถแž…แŸ’แžšแžพแž“ แž แžพแž™แž™แžพแž„แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚ แžขแŸแŸ‡แž•แŸ’แž“แŸ‚แž€แž•แŸ’แž‘แŸƒแžแžถแž„แž›แžพ แž“แŸƒแž‘แŸ†แžšแž„แŸ‹ แž“แžทแž„ แž”แŸ’แžšแž—แŸแž‘ แž‡แžถแž…แŸ’แžšแžพแž“ แž“แžทแž„ แž—แžถแž–แž…แŸ†แžšแžปแŸ‡แž‚แŸ’แž“แžถแž“แŸƒแž”แžถแž€แŸ‹แžแŸแžšแžธ แžŠแŸ‚แž›แž˜แžถแž“แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡ แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž“แžทแž™แžถแž™แž…แŸ’แžšแžพแž“แžขแŸ†แž–แžธ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž แžพแž™ แžŸแž„แŸ’แžƒแžนแž˜แžแžถ แž€แžถแžšแž–แžทแžแž‘แžถแŸ†แž„แž“แŸแŸ‡ แž“แŸ…แž‘แžธแž“แŸแŸ‡ แž“แžนแž„แž’แŸ’แžœแžพแžขแŸ„แž™แžขแŸ’แž“แž€แž™แž›แŸ‹แžแžถ แž–แžฝแž€แžœแžถ แžŸแŸ†แžแžถแž“แŸ‹แžแŸ’แž›แžถแŸ†แž„แžŽแžถแžŸแŸ‹ แžŸแŸ†แžšแžถแž”แŸ‹แž—แžถแž–แž˜แžถแž“แž‡แžธแžœแžทแžแžšแž”แžŸแŸ‹แž™แžพแž„แžŸแž–แŸ’แžœแžแŸ’แž„แŸƒแŸ” แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž…แž„แŸ‹แž”แž‰แŸ’แž‡แžถแž€แŸ‹แžแžถ แž™แžพแž„แž™แž›แŸ‹แžขแŸ†แž–แžธแž€แŸ†แžšแžทแžแžแžถแž˜แž–แž› แžšแž”แžŸแŸ‹แžœแžถ แž“แŸ…แž€แŸ’แž“แžปแž„แžœแžทแžŠแŸแžขแžผแž˜แžปแž“ แž แžพแž™แžแŸ’แž‰แžปแŸ†แž“แžนแž„แžŸแŸ’แžœแŸ‚แž„แžšแž€แž˜แžพแž›แž˜แŸ’แžแž„แž‘แŸ€แž แž™แžพแž„แž˜แžถแž“ แž›แžพแž€แŸ†แžšแžทแžแž›แŸแžแžšแŸ€แž„ แŸกแŸ  แž‘แŸ… แŸกแŸ แŸ  แž›แžถแž“แž›แžถแž“ แž€แŸ„แžŸแžทแž€แžถ, แž€แŸ„แžŸแžทแž€แžถ แž˜แž“แžปแžŸแŸ’แžŸแŸ”
So for every one of these we have 20 bacteria, we're talking about having on the order of 200 to 2,000 trillion bacteria on us at any time.
แžŠแžผแž…แŸ’แž“แŸแŸ‡แžŸแŸ†แžšแžถแž”แŸ‹แžขแŸ’แž“แž€แžšแžถแž›แŸ‹แž‚แŸ’แž“แžถ แž™แžพแž„แž˜แžถแž“ แŸขแŸ  แž”แžถแž€แŸ‹แžแŸแžšแžธ แž™แžพแž„แž€แŸ†แž–แžปแž„แž“แžทแž™แžถแž™แžขแŸ†แž–แžธ แž˜แžถแž“แž›แŸแžแžšแŸ€แž„ แž“แŸƒ แŸขแŸ แŸ  แž‘แŸ… แŸขแŸ แŸ แŸ  แž›แžถแž“แž›แžถแž“ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž›แžพแžแŸ’แž›แžฝแž“แž™แžพแž„แž“แŸ…แž‚แŸ’แžšแž”แŸ‹แž–แŸแž›แŸ”
And I'm a hygienic person. I take showers daily, and that's even me. It's not like you can somehow eliminate them.
แž แžพแž™แžแŸ’แž‰แžปแŸ†แž‡แžถแž˜แž“แžปแžŸแŸ’แžŸแž˜แžถแž“แžขแž“แžถแž˜แŸแž™แŸ” แžแŸ’แž‰แžผแŸ†แž˜แžปแž‡แž‘แžนแž€แž‡แžถแžšแŸ€แž„แžšแžถแž›แŸ‹แžแŸ’แž„แŸƒ แž แžพแž™แžŸแžผแž˜แŸ’แž”แžธแžแŸ‚แž“แŸ„แŸ‡แž‡แžถแžแŸ’แž‰แžปแŸ†แŸ” แžœแžถแž˜แžทแž“แžŠแžผแž…แž‡แžถแžขแŸ’แž“แž€ แžขแžถแž…แž”แŸ†แž”แžถแžแŸ‹แž–แžฝแž€แžœแžถแž…แŸ„แž›แž”แžถแž“แž‘แŸแŸ” แž แžพแž™แž‡แžถแž„แž“แŸแŸ‡แž‘แŸ…แž‘แŸ€แž แžœแžถแž˜แžทแž“แžŠแžผแž…แž‡แžถแžขแŸ’แžœแžธแžŠแŸ‚แž›แžขแŸ’แž“แž€แž…แž„แŸ‹ แž”แŸ†แž”แžถแžแŸ‹แž–แžฝแž€แžœแžถแž…แŸ„แž›แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžœแžถแž˜แžทแž“แž‘แžถแž“แŸ‹แžแŸ’แžšแžนแž˜แžแŸ’แžšแžผแžœแž‚แŸ’แžšแž”แŸ‹แž‚แŸ’แžšแžถแž“แŸ‹แž‘แŸแŸ” แžขแŸ’แž“แž€แž”แŸ’แžšแž แŸ‚แž›แž‡แžถแžŸแžฝแžšแžแžถ OK แžแŸ’แž‰แžปแŸ†แž‡แžฟ แžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธแžŸแŸ†แžแžถแž“แŸ‹แŸ” แžแžพแž–แžฝแž€แžœแžถแž˜แžถแž“แžšแžผแž”แžšแžถแž„ แž™แŸ‰แžถแž„แž˜แŸ‰แŸแž…แžŠแŸ‚แžšแž‘แŸ… ? แž แžพแž™แž–แžฝแž€แžœแžถแž‡แžถ แžŸแžšแžธแžš: แžฏแž€แž€แŸ„แžŸแžทแž€แžถแž‘แžถแŸ†แž„แž“แŸแŸ‡แŸ” แž“แŸ„แŸ‡ แž”แžถแž€แŸ‹แžแŸแžšแžธแžšแž”แžŸแŸ‹แžแŸ’แž‰แžปแŸ†แž“แŸ…แž‘แŸ…แž“แŸ„แŸ‡แŸ” แž แžพแž™แž–แžฝแž€แžœแžถแžแžปแžŸแž”แŸ’แž›แŸ‚แž€แž–แžธ แž€แŸ„แžŸแžทแž€แžถแž‘แžถแŸ†แž„แžกแžถแž™ แžŠแŸ‚แž›แž”แž„แŸ’แž€แžพแžแž”แžถแž“แž‡แžถแžแŸ’แž›แžฝแž“แž™แžพแž„แŸ” แž–แŸแž›แžแŸ’แž‰แžปแŸ†แž“แžทแž™แžถแž™แžแžถ แž–แžฝแž€แž™แžพแž„ แžแŸ’แž‰แžปแŸ†แž”แŸ„แŸ‡แž”แž‰แŸ’แž…แžผแž› แž–แž–แžฝแž€แžšแžปแž€แŸ’แžแž‡แžถแžแžท แžŸแžแŸ’แžœ แž“แžทแž„ แž‡แŸ†แž–แžผแž€แž•แŸ’แžŸแžทแžแŸ” แž แžพแž™แž—แžถแž–แžแžปแžŸแž”แŸ’แž›แŸ‚แž€แž‚แŸ’แž“แžถแžŠแŸแžแŸ’แž›แžถแŸ†แž„ แžฌ แž˜แžฝแž™แžŠแŸ‚แž›แž˜แž“แžปแžŸแŸ’แžŸแž™แžพแž„ แž…แžถแž”แŸ‹แžขแžถแžšแž˜แŸ’แž˜แžŽแŸแžŠแŸ†แž”แžผแž„แž‚แŸ แž‚แžบแž–แž–แžฝแž€ แž™แžผแž€แžถแž™แŸ‰แžถ แžŠแŸ‚แž›แžšแžฝแž˜แž”แž‰แŸ’แž…แžผแž› แžšแžปแž€แŸ’แžแž‡แžถแžแžท แžŸแžแŸ’แžœ แž“แžทแž„ แž–แž–แžฝแž€แž•แŸ’แžŸแžทแž, DNA แžšแž”แžŸแŸ‹แž–แžฝแž€แžœแžถแž‘แžถแŸ†แž„แž“แŸ„แŸ‡ แžŸแŸ’แžแžทแžแž“แŸ…แž€แŸ’แž“แžปแž„ แžŸแŸ’แž“แžผแž› แž€แŸ„แžŸแžทแž€แžถแžŸแŸ’แž“แžผแž›แŸ” แžขแž‰แŸ’แž…แžนแž„แž“แŸแŸ‡แž‡แžถแžŸแŸ’แž“แžผแž› แž“แŸ…แž‘แžธแž“แŸแŸ‡แŸ” แž แžพแž™ DNA แžšแž”แžŸแŸ‹แž™แžพแž„แž‘แžถแŸ†แž„แžขแžŸแŸ‹ แž‡แžถแž’แž˜แŸ’แž˜แžแžถ แž€แŸ’แž“แžปแž„ แž‘แŸ†แžšแž„แŸ‹ แž€แŸ’แžšแžผแž˜แŸ‰แžถแž‘แžธแž“ แžšแž”แžŸแŸ‹แžœแžถแŸ” แž–แžฝแž€แžœแžถแž‘แžถแŸ†แž„แž“แŸ„แŸ‡ แž›แžถแžแžŸแž“แŸ’แž’แžนแž„แž‡แŸ†แžปแžœแžทแž‰ แžŠแžผแž…แž“แŸแŸ‡แŸ” แž€แŸ’แž“แžปแž„แž”แžถแž€แŸ‹แžแŸแžšแžธ แžŠแŸ‚แž›แž‡แžถแžขแŸ’แžœแžธแžŠแŸ‚แž›แž™แžพแž„ แžŠแžพแž˜แžกแžพแž™แž™แžพแž„แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚ แž”แŸ‚แž„แž…แŸ‚แž€แžœแžถ แžแžถแžœแžถแž˜แžถแž“ แžฌ แž˜แžทแž“แž˜แžถแž“แžŸแŸ’แž“แžผแž› แž€แŸ’แž“แžปแž„แž”แžถแž€แŸ‹แžแŸแžšแžธ แž˜แžทแž“แž˜แžถแž“แžŸแŸ’แžšแŸ„แž˜ แž–แž‘แŸ’แž’แŸแž‡แžปแŸ†แžœแžทแž‰ DNA แž‘แŸแŸ” แžขแŸ’แžœแžธแžŠแŸ‚แž›แžœแžถแž˜แžถแž“ แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž‡แžถ แž”แžŽแŸ’แžแžปแŸ† DNA แž’แŸ†แž˜แžฝแž™แŸ” แž–แžฝแž€แžœแžถแž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž˜แžถแž“ แž”แžŽแŸ’แžแžปแŸ† DNA แž’แŸ†แž“แŸแŸ‡แŸ” แž“แŸ…แž–แŸแž›แžแŸ’แž›แŸ‡ แžœแžถแžŸแŸ’แžแžทแžแž€แŸ’แž“แžปแž„ แžšแž„แŸ’แžœแž„แŸ‹แž˜แžฝแž™แž‘แžถแŸ†แž„แžขแžŸแŸ‹แž‚แŸ’แž“แžถ แž แŸ…แžแžถ แž“แžผแž‚แŸ’แž›แžถแžแŸ‹
Now, whenever we look at something, and we say, oh, we have this thing; it doesn't; there's this assumption that somehow we're superior or we're more advanced beings. But the reality is that bacteria have infiltrated far more ecosystems in every part of the planet than Eukarya have, and there's far more diversity in bacteria than there is in Eukarya. So when you really think about it, these are the more successful organisms.
แžฅแž›แžผแžœ แžšแžถแž›แŸ‹แž–แŸแž›แž™แžพแž„แž˜แžพแž›แž‘แŸ…แž€แžถแž“แŸ‹แžขแŸ’แžœแžธแž˜แžฝแž™ แž แžพแž™แž™แžพแž„แž“แžทแž™แžถแž™แžแžถ แžขแžผ !แž™แžพแž„ แž˜แžถแž“แžšแž”แžŸแŸ‹แž“แŸแŸ‡; แžœแžถแž˜แžทแž“; แž“แŸ„แŸ‡แž‡แžถแž€แžถแžšแžŸแž“แŸ’แž“แžทแžŠแŸ’แž‹แžถแž“ แžŠแŸ‚แž› แž™แŸ‰แžถแž„แžŽแžถแž˜แžทแž‰ แž™แžพแž„แž‡แžถแž˜แŸแžŠแžนแž€แž“แžถแŸ† แžฌ แž™แžพแž„แž‡แžถ แž‡แžธแžœแžทแžแžŠแŸ‚แž›แžšแžธแž€แž›แžผแžแž›แžถแžŸแŸ‹แž‡แžถแž„แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž€แžถแžšแž–แžทแžแž‚แžบ แž”แžถแž€แŸ‹แžแŸแžšแžธแžขแžถแž… แž…แžผแž›แž‘แŸ…แžแžถแž„แž€แŸ’แž“แžปแž„ แž”แŸ’แžšแž–แž“แŸ’แž’แŸแž”แžšแžทแžŠแŸ’แž‹แžถแž“แž‡แŸ’แžšแŸ… แž‘แŸ…แž€แŸ’แž“แžปแž„แžšแžถแž›แŸ‹แž•แŸ’แž“แŸ‚แž€แž‘แžถแŸ†แž„แžขแžŸแŸ‹แž“แŸƒแž—แž– แž‡แžถแž„ แž™แžผแž€แžถแž™แŸ‰แžถ แž แžพแž™ แž—แžถแž–แžŸแŸ†แž”แžผแžšแž…แŸ†แžšแžปแŸ‡แžšแž”แžŸแŸ‹แž”แžถแž€แŸ‹แžแŸแžšแžธ แž˜แžถแž“ แž…แŸ’แžšแžพแž“แž›แžพแžŸแž›แž”แŸ‹ แž‡แžถแž„ แž—แžถแž–แž…แŸ†แžšแžปแŸ‡แžŠแŸ‚แž› แž™แžผแž€แžถแž™แŸ‰แžถ แž˜แžถแž“แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž–แŸแž›แžŠแŸ‚แž›แžขแŸ’แž“แž€ แž–แžทแžแž‡แžถแž‚แžทแž แžŠแž›แŸ‹แžœแžถ, แž‘แžถแŸ†แž„แž“แŸแŸ‡แž‡แžถ แžŸแžธแžš: แžŠแŸ‚แž›แž‘แž‘แžฝแž›แž”แžถแž“แž‡แŸ„แž‚แž‡แŸแž™แŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแžขแžถแž…แž˜แž“แŸแž•แŸ’แž€แžถแž™ แžแŸ’แžšแžผแžœแž”แžปแž€แž“แžทแž„แž•แŸ‚แž“แžŠแžธ แž–แŸ’แžšแŸ‡แž‡แžถแž˜แŸ’แž…แžถแžŸแŸ‹ แž แžถแž˜แžƒแžถแžแŸ‹ -- แž“แŸ„แŸ‡ แžŸแžšแžธแžš: แžŠแŸ‚แž›แž“แžนแž„แžขแžถแž…แž˜แžถแž“แž‡แžธแžœแžทแž แž“แŸ…แžšแžŸแŸ‹แžšแžถแž“แž”แžถแž“ แž“แžนแž„แž‡แžถแž”แžถแž€แŸ‹แžแŸแžšแžธ แž‡แžถแž‡แžถแž„ แž™แžผแž€แžถแž™แŸ‰แžถ แž‡แžถแž‡แžถแž„ แžขแŸ’แžœแžธแž˜แžฝแž™แž•แŸ’แžŸแŸแž„แž‘แŸ€แž แžŠแŸ‚แž›แž’แŸ†แž‡แžถแž„ แž˜แžทแž“แžแŸ‚แž„แžแŸ‚แž’แŸ†แž‡แžถแž„ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แžŸแžšแžธแžš: แžŠแŸ‚แž› แž˜แžถแž“ แžŸแŸ’แž“แžผแž›แž“แŸแŸ‡ แž แžพแž™ แž˜แžถแž“แžšแžปแŸ†แž–แž‘แŸ’แž’แŸ แž‡แžปแŸ†แžœแžทแž‰แžŠแžผแž… แž˜แŸ‰แŸƒแž€แŸ’แžšแžผแžแžปแž“แžŒแŸ’แžšแŸ€แžŠแŸ‚แžšแŸ” แž™แžพแž„แž“แžนแž„แž“แžทแž™แžถแž™ แž–แžธแžœแžถแž”แž“แŸ’แžแŸ‚แž˜แž‘แŸ€แž แž“แŸ…แž–แŸแž›แžแžถแž„แž˜แžปแžแŸ” แž•แŸ’แž“แŸ‚แž€แž—แžถแž‚แž…แŸ’แžšแžพแž“ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž‡แžถ แžแž„แŸ‹แž’แŸ† แžšแž”แžŸแŸ‹ แžŸแžธแžปแžแžผแž•แŸ’แž›แžถแžŸแžนแž˜แŸ” แžœแžถแž˜แžถแž“ DNAแŸ” แžœแžถแž˜แžถแž“ แžšแžธแž”แž”แžผแžŸแžถแŸ† แž–แžธแž–แŸ’แžšแŸ„แŸ‡แžœแžถแžแŸ’แžšแžผแžœ แžŸแžšแžŸแŸแžšแž€แžผแžŠ แžขแŸ„แž™ แž”แŸ’แžšแžผแžแŸแžขแžธแžปแž“ แžŠแžผแž…แžŠแŸ‚แž›แž™แžพแž„แž‚แŸ’แžšแž”แŸ‹แž‚แŸ’แž“แžถแž’แŸ’แžœแžพแŸ” แž”แŸ’แžšแžผแžแŸแžขแžธแžปแž“แž˜แžฝแž™แž…แŸ†แž“แžฝแž“ แž–แžฝแž€แžœแžถแž”แž„แŸ’แž€แžพแžแž…แŸแž‰แž–แžธ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž–แžฝแž€แžœแžถแž”แž„แŸ’แž€แžพแž แž–แŸ’แžšแžปแž™แž‘แžถแŸ†แž„แž“แŸแŸ‡ แž‡แžถแž€แž“แŸ’แž‘แžปแž™แžŠแŸ‚แž› แžขแž“แžปแž‰แŸ’แž‰แžถแžแžขแŸ„แž™แž–แžฝแž€แžœแžถ แž’แŸ’แžœแžพแž…แž›แž“แžถแž”แŸ†แž›แžถแžŸแŸ‹แž‘แžธแž”แžถแž“แŸ” แž–แžฝแž€แžœแžถแž€แŸแž˜แžถแž“แžšแž”แžŸแŸ‹แž‘แžถแŸ†แž„แž“แŸแŸ‡ แžŠแŸ‚แž›แž แŸ…แžแžถ pili(แžšแŸ„แž˜) แž•แž„แžŠแŸ‚แžšแŸ” pili แž‡แžถแž–แž แžปแžœแž‡แž“: แž“แŸƒ pilus แŸ” แž”แž“แŸ’แžแžทแž…แž‘แŸ€แžแž“แŸแŸ‡แž™แžพแž„แž“แžนแž„แžƒแžพแž‰แžแžถ แžšแŸ„แž˜แž“แŸ„แŸ‡ แž‡แžถแžšแž”แŸ€แž”แžŠแŸ‚แž› แž”แžถแž€แŸ‹แžแŸแžšแžธแžขแžถแž…แž’แŸ’แžœแžพแž‘แŸ†แžšแž„แŸ‹แž˜แžฝแž™ แžŠแŸ‚แž›แž”แž„แŸ’แž แžถแž‰แž–แžธ แž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžšแž”แžŸแŸ‹แž แŸ’แžŸแŸ‚แž“ แž‘แŸ…แž€แŸ’แž“แžปแž„แž”แžŽแŸ’แžแžถแž‚แŸ’แž“แžถแžœแžถแŸ” แžแžถแž˜แž–แžทแžแž‘แŸ… แžแŸ’แž‰แžปแŸ†แž…แž„แŸ‹แž€แžแŸ‹แž…แŸ†แžŽแžถแŸ† แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แž”แž“แŸ’แžแžทแž…แŸ” แžแŸ’แž‰แžปแŸ†แž€แŸ†แž–แžปแž„แž…แž„แŸ’แžขแžปแž›แž”แž„แŸ’แž แžถแž‰ แžแžถแž”แžถแž€แŸ‹แžแŸแžšแžธ แž˜แžทแž“แž˜แžถแž“ แž‡แž‰แŸ’แž‡แžถแŸ†แž„แž€แŸ„แžŸแžทแž€แžถแž‘แŸแŸ” แž€แžถแžšแž–แžทแž แž˜แžถแž“แž‡แŸ†แž–แžผแž€แž˜แžฝแž™แž•แŸ’แžŸแŸแž„แž‘แŸ€แž แžŠแŸ‚แž›แž’แŸ’แž›แžถแž”แŸ‹แžแŸ’แžšแžผแžœแž”แžถแž“แž…แžถแžแŸ‹แž‘แžปแž€แžแžถแž‡แžถ แž”แŸ’แžšแž—แŸแž‘ แž“แŸƒแž”แžถแž€แŸ‹แžแŸแžšแžธ แž แžพแž™ แž–แžฝแž€แž“แŸ„แŸ‡แž‚แŸแž แŸ…แžแžถ แžขแžถแž€แžƒแžธ แŸ” แžแŸ’แž‰แžปแŸ†แž‚แžฝแžšแžแŸ‚แž•แŸ’แžแž›แŸ‹แž™แžปแžแŸ’แžแžทแž’แž˜แŸŒ แžขแŸ„แž™แž–แžฝแž€แžœแžถแž”แž“แŸ’แžแžทแž…แŸ” แž‡แžถแž‘แžผแž‘แŸ…แž–แžฝแž€แžœแžถ แžšแž”แŸ€แž”แžŠแžผแž…แž‡แžถ แž€แžผแž“แž…แžปแž„แŸ”
They used to be called Archaea bacteria, but now people realize, they've actually looked at the DNA, because when they originally looked at these, they said, OK, these guys also have no nucleus and a bunch of DNA running around. These must be a form of bacteria. But now that we've actually been able to look into the DNA of the things, we've seen that they're actually quite different.
แž–แžฝแž€แžœแžถแžแŸ’แžšแžผแžœแž”แžถแž“ แž‚แŸแž แŸ…แžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธ แžขแžถแž€แžƒแžธ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แžฅแž›แžผแžœ แž‚แŸ’แžšแž”แŸ‹แž‚แŸ’แž“แžถ แž‘แžพแž”แžŠแžนแž„ แžแžถแž˜แž–แžทแžแž‘แŸ…แž–แžฝแž€แž‚แŸ แž”แžถแž“แž˜แžพแž›แž‘แŸ…แž›แžพ DNA แž–แžธแž–แŸ’แžšแŸ„แŸ‡ แž–แŸแž›แžŠแžพแž˜แžกแžพแž™แž‚แŸแž˜แžพแž› แž›แžพแž–แžฝแž€แž‘แžถแŸ†แž„แž“แŸแŸ‡ แž‚แŸแž“แžทแž™แžถแž™ แžแžถ OK แž–แžฝแž€แž“แŸแŸ‡ แž€แŸแž˜แžทแž“แž˜แžถแž“ แžŸแŸ’แž“แžผแž› แž“แžทแž„ แž…แž„แŸ’แž€แŸ„แž˜ DNA แžšแžแŸ‹แž‡แžปแŸ†แžœแžทแž‰แž“แŸ„แŸ‡แžŠแŸ‚แžšแŸ” แž‘แžถแŸ†แž„แž“แŸแŸ‡แž”แŸ’แžšแžถแž€แžŠแž‡แžถ แž‘แŸ†แžšแž„แŸ‹แž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžฅแž›แžผแžœ แžŠแŸ„แž™แž™แžพแž„แžขแžถแž…แž˜แžพแž›แž‘แŸ…แž€แŸ’แž“แžปแž„ DNA แž“แŸƒแžขแŸ’แžœแžธแŸ— แž™แžพแž„แžƒแžพแž‰แžแžถ แž–แžฝแž€แžœแžถ แžแžถแž˜แž–แžทแžแž‘แŸ… แžแžปแžŸแž‚แŸ’แž“แžถแž†แŸ’แž„แžถแž™แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž‘แžถแŸ†แž„แž“แŸแŸ‡ แž‘แžถแŸ†แž„ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž“แžทแž„ แžขแžถแž€แžƒแžธ แžแŸ’แžšแžผแžœแž”แžถแž“แž…แžถแžแŸ‹แž‘แžปแž€แž‡แžถ แž”แŸ’แžšแžผแž€แžถแžšแžธแž™แžปแžแŸ”
And this just means no nucleus. No nucleus, and more generally, this is what most people refer to, but more generally, they don't have these membrane-bound organelles that our cells have. Now, the next question you might say is, well, how do these bacteria reproduce?
แž แžพแž™แž“แŸแŸ‡ แž˜แžถแž“แž“แŸแž™แžแžถ แž‚แŸ’แž˜แžถแž“แžŸแŸ’แž“แžผแž›แŸ” แž‚แŸ’แž˜แžถแž“แžŸแŸ’แž“แžผแž› แž แžพแž™ แž‡แžถแž‘แžผแž‘แŸ… แž“แŸแŸ‡แž‚แžบแž‡แžถแžขแŸ’แžœแžธแžŠแŸ‚แž› แž˜แž“แžปแžŸแŸ’แžŸแž—แžถแž‚แž…แŸ’แžšแžพแž“ แžŸแŸ†แžŠแŸ…แž‘แŸ… แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แž‘แžผแž‘แŸ…แž‡แžถแž„แž“แŸแŸ‡แž‘แŸ€แž แž–แžฝแž€แž‚แŸแž˜แžทแž“แž˜แžถแž“ แž—แŸ’แž“แžถแžŸแž‘แžถแŸ†แž„แž“แŸแŸ‡ - แžŸแžšแžธแžšแžผแž” แž‡แžปแŸ†แžœแžทแž‰แž€แŸ„แžŸแžทแž€แžถแžŠแŸ‚แž› แž™แžพแž„แž˜แžถแž“แŸ” แžฅแž›แžผแžœ แžŸแŸ†แž“แžฝแžšแž”แž“แŸ’แž‘แžถแž”แŸ‹แžขแŸ’แž“แž€แžขแžถแž…แž“แžนแž„แž“แžทแž™แžถแž™แžแžถ แžแžพแž”แžถแž€แŸ‹แžแŸแžšแžธแž‘แžถแŸ†แž„แž“แŸแŸ‡ แž”แž„แŸ’แž€แžพแžแž€แžผแž“แž…แŸ…แž™แŸ‰แžถแž„แžŠแžผแž…แž˜แŸ’แžแŸแž…? แž—แžถแž‚แž…แŸ’แžšแžพแž“ แž–แžฝแž€แžœแžถ แž’แŸ’แžœแžพแžขแŸ’แžœแžธแŸ— แž˜แžทแž“แžแžปแžŸแž‚แŸ’แž“แžถแž‘แžถแŸ†แž„แžŸแŸ’แžšแžปแž„ แž–แžธแž€แžถแžšแž”แŸ†แž”แŸ‚แž€แž€แŸ„แžŸแžทแž€แžถ แž‘แŸ„แŸ‡แž‡แžถแžแŸ’แž‰แžปแŸ† แž…แž„แŸ‹ แž แŸ…แžœแžถแžแžถ แž‡แžถแž€แžถแžšแž”แŸ†แž”แŸ‚แž€แž€แŸ„แžŸแžทแž€แžถแŸ” แž™แžพแž„แž แŸ…แžœแžถแžแžถ แž€แžถแžšแž”แŸ‚แž„แž…แŸ‚แž€แž‚แžผแŸ”
I'm not going to go into the deep mechanism here, but the idea is fairly simple. I have a bacteria right here. It replicates its DNA, so it'll have two of these nucleoids here, and then the cytoplasm essentially splits, or it's kind of a form of cleavage right there.
แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž˜แžทแž“แž‘แŸ…แž‡แŸ’แžšแŸ… แž–แžธแžšแž”แŸ€แž”แž’แŸ’แžœแžพ แž“แŸ…แž‘แžธแž“แŸแŸ‡แž‘แŸ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แž‚แŸ†แž“แžทแž แž“แŸ„แŸ‡แž‚แžบแžŸแžถแž˜แž‰แŸ’แž‰ แžŸแž˜แžšแž˜แŸ’แž™แŸ” แžแŸ’แž‰แžปแŸ†แž˜แžถแž“ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž“แŸ…แž‘แžธแž“แŸแŸ‡แŸ” แžœแžถแž…แž˜แŸ’แž›แž„ DNA แžœแžถ แžŠแžผแž…แŸ’แž“แŸแŸ‡แžœแžถแž˜แžถแž“ แŸข แž“แŸƒ แž“แžผแž‚แŸ’แž›แžถแžแŸ‹ แž“แŸ…แž‘แžธแž“แŸแŸ‡ แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แžŸแžธแžปแžแžผแž•แŸ’แž›แžถแžŸแžนแž˜ แž”แŸ†แž”แŸ‚แž€แžแŸ’แž›แžฝแž“ แžฌ แžœแžถแž‡แžถแž”แŸ’แžšแž—แŸแž‘แž“แŸƒแž‘แŸ†แžšแž„แŸ‹ แž“แŸƒแž€แžถแžšแž”แŸ†แž”แŸ‚แž€แž‡แžถแž…แŸ†แžŽแŸ‚แž€ แž“แŸ…แž‘แžธแž“แŸ„แŸ‡แŸ” แžœแžถแž”แŸ†แž”แŸ‚แž€ แž แžพแž™ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แžขแŸ’แž“แž€แž“แžนแž„แž˜แžถแž“ แŸข แž…แŸ†แžŽแŸ‚แž€แŸ” แžขแŸ’แž“แž€แž˜แžถแž“แžœแžถแž–แžธแžš แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€แŸ” แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž–แžฝแž€แžœแžถแž˜แžฝแž™แŸ—, แž–แžฝแž€แžœแžถแžขแžถแž…แžŸแžšแžŸแŸแžšแž€แžผแžŠ แžขแŸ„แž™แž”แŸ’แžšแžผแžแŸแžขแžธแžปแž“ แžŠแŸ‚แž›แž…แžถแŸ†แž”แžถแž…แŸ‹ แžŠแžพแž˜แŸ’แž”แžธแž”แž„แŸ’แž€แžพแž แžšแžถแž›แŸ‹แžขแŸ’แžœแžธแŸ—แžŠแŸ‚แž›แžแŸ’แžšแžผแžœแžŠแžถแž€แŸ‹แž”แž“แŸ’แžแŸ‚แž˜, แž–แŸ’แžšแžปแž™, แžŠแŸ‚แž›แž‡แžถแžšแž”แžŸแŸ‹แžŠแžผแž…แž‡แžถแž€แž“แŸ’แž‘แžปแž™แžœแŸ‚แž„ แžŠแŸ‚แž›แžขแžถแž…แž‡แžฝแž™แžœแžถแžขแŸ„แž™แž’แŸ’แžœแžพแž…แž›แž“แžถแŸ” แž แžพแž™แžแžถแž˜แž–แžทแžแžœแžถแž‚แžฝแžšแžขแŸ„แž™แžขแžŸแŸ’แž…แžถแžšแŸ’แž™แžŽแžถแžŸแŸ‹ แžŠแŸ„แž™แžŸแžถแžš แžœแžถแžขแžถแž…แžŠแŸ†แžŽแžพแžšแž€แžถแžšแž”แžถแž“ แž“แŸ…แž€แŸ’แž“แžปแž„แž‘แŸ†แž แŸ†แžŠแŸแžแžผแž… แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แžขแŸ’แž“แž€แž“แŸ…แžแŸ‚แžขแžถแž…แžขแŸ„แž™ แž˜แŸ‰แžถแžŸแžธแžปแž“แž“แŸแŸ‡ แž’แŸ’แžœแžพแž…แž›แž“แžถแž‘แŸ…แž˜แžปแžแŸ” แžŸแžผแž˜แŸ’แž”แžธแžแŸ‚ แž“แŸ…แž€แŸ’แž“แžปแž„แž‘แŸ†แž แŸ†แžŠแŸแžŸแŸ‚แž“แžแžผแž…, แž€แžถแžšแž”แŸ’แžšแžพแžแžถแŸ†แž„แž–แžธแžŠแžพแž˜แžŠแŸ†แž”แžผแž„ แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž˜แžทแž“แž“แžทแž™แžถแž™แžแžถแž–แžธแžŠแžพแž˜แžŠแŸ†แž”แžผแž„ แž–แžธแž–แŸ’แžšแŸ„แŸ‡ แžœแžถแž’แŸ’แžœแžพแžขแŸ„แž™แž˜แžถแž“แžแŸ†แž›แŸƒแž€แŸ’แž“แžปแž„แž€แžถแžšแžœแžทแž“แžทแž…แŸ’แž†แŸแž™แŸ” แž˜แŸ’แž™แŸ‰แžถแž„แžœแžทแž‰แž‘แŸ€แž แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž”แŸ’แžšแžพ -- แžขแŸ’แž“แž€แžŠแžนแž„แž‘แŸ แž–แŸ’แžšแžปแž™แž‘แžถแŸ†แž„แž“แŸแŸ‡ แž€แŸ’แž“แžปแž„แž‡แŸ†แž–แžผแž€แž€แŸ†แžšแžทแž แž”แžธแž”แžฝแž“ แž—แžถแž‚แž–แžถแž“แŸ‹แž›แžถแž“ แž˜แŸ‰แŸ‚แžแŸ’แžš , แž‘แŸ†แž แŸ†แžแŸ’แž›แžฝแž“ แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹ แž—แžถแž‚แž–แžถแž“แŸ‹แž›แžถแž“แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžขแŸ’แž“แž€แž˜แžทแž“แž˜แžถแž“ แžขแžถแžแžผแž˜ แž…แŸ’แžšแžพแž“แžŠแŸ‚แž›แžแŸ’แžšแžผแžœ แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž‡แžถแž˜แžฝแž™แž‘แŸ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžขแŸ’แž“แž€ แž“แŸ…แžขแžถแž…แž‘แž‘แžฝแž›แž™แž€แž…แž„แŸ’แžœแžถแž€แŸ‹แž”แŸ‚แž”แž“แŸแŸ‡ แžŠแžผแž…แž…แž›แž“แžถแžŠแŸ‚แž›แž•แŸ’แž›แžถแžŸแŸ‹แž‘แžธ แž”แžถแž€แŸ‹แžแŸแžšแžธแž‡แžปแŸ†แžœแžทแž‰แŸ” แžฅแž›แžผแžœ แžขแŸ’แž“แž€แžขแžถแž…แž“แžทแž™แžถแž™แžแžถ แžขแŸ Sal แž“แŸ…แž€แŸ’แž“แžปแž„แžœแžทแžŠแŸแžขแžผแžŠแŸ†แž”แžผแž„ แžขแŸ†แž–แžธแž€แžถแžšแžœแžทแžœแžŒแŸ’แžแž“แŸ แžขแŸ’แž“แž€แž”แžถแž“แž”แŸ’แžšแžถแž”แŸ‹แžแŸ’แž‰แžปแŸ†แžแžถ แž™แžพแž„แžƒแžพแž‰แž€แžถแžšแžœแžทแžœแžŒแŸ’แžแž“แŸ แž‡แžถแžšแŸ€แž„แžšแžถแž›แžแŸ’แž„แŸƒ แž แžพแž™ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž‚แžบแž‡แžถแžงแž‘แžถแž แžšแžŽแŸแž˜แžฝแž™แŸ” แž“แŸ…แž–แŸแž›แž™แžพแž„แž”แŸ’แžšแžพ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แž™แžพแž„แž‚แžทแžแžแžถแžœแžถแž‡แžฝแž™แž€แŸ†แž…แžถแžแŸ‹ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž˜แžฝแž™แž”แŸ’แžšแž—แŸแž‘แž“แŸ„แŸ‡ แžŠแŸ‚แž›แž˜แžถแž“แž”แŸ’แžšแž—แŸแž‘ แžŸแŸŠแžถแŸ† แžœแžถแž“แžนแž„แž“แŸ…แžšแžŸแŸ‹แŸ” แž แŸแžแžปแžขแžธ แž”แžถแž“แž‡แžถแž–แžฝแž€แž“แŸแŸ‡ แž‘แž‘แžฝแž›แž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžš ? แžœแžทแž’แžธแž˜แžฝแž™แž“แŸ„แŸ‡ แž แžพแž™ แž“แŸ„แŸ‡แž‡แžถแžœแžทแž’แžธ แžŠแŸ‚แž›แžขแŸ’แžœแžธแŸ— แžขแžถแž…แž‘แž‘แžฝแž›แž™แž€ แž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžš แž‚แžบ แž‚แŸแžขแžถแž… แž‘แž‘แžฝแž›แž™แž€ แž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžšแžแŸ’แž˜แžธแŸ” แž แžพแž™แž”แžถแž€แŸ‹แžแŸแžšแžธ แž…แŸ†แž›แž„ แžแŸ’แž›แžฝแž“ แž™แŸ‰แžถแž„แž›แžฟแž“ แž–แžฝแž€แžœแžถแžขแžถแž…แž”แž„แŸ’แž€แžพแžแž€แžผแž“แž…แŸ… แž™แŸ‰แžถแž„แž›แžฟแž“ แžŠแŸ‚แž›แžŸแžผแž˜แŸ’แž”แžธแžแŸ‚ แžขแŸ’แž“แž€แž˜แžถแž“แž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžš แž˜แžฝแž™แž“แŸ„แŸ‡ แž‡แžถแžšแŸ€แž„แžšแžถแž›แŸ‹ แž–แžถแž“แŸ‹แžŠแž„ แž“แŸ…แž–แŸแž› แžขแŸ’แž“แž€แž˜แžถแž“ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž˜แžฝแž™แž›แžถแž“ แžขแŸ’แž“แž€แž“แžนแž„แž˜แžถแž“ แž˜แžฝแž™แž–แžถแž“แŸ‹ แž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžšแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž–แžฝแž€แž‚แŸ แž˜แžถแž“แž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžš แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž–แžฝแž€แž‚แŸแž€แŸแž˜แžถแž“แž‘แŸ†แžšแž„แŸ‹แž“แŸแŸ‡แŸ” แžแŸ’แž‰แžปแŸ†แž˜แžทแž“แž…แž„แŸ‹แž แŸ…แžœแžถแžแžถ แž€แžถแžšแž”แž„แŸ’แž€แž€แŸ†แžŽแžพแž แžŠแŸ„แž™แž€แžถแžšแžšแžฝแž˜แž—แŸแž‘ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžœแžถแž˜แžทแž“ แž”แž„แŸ’แž€แžšแž€แŸ†แžŽแžพแžแžŠแŸ„แž™แžšแžฝแž˜แž—แŸแž‘แž‘แŸแŸ” แž–แžฝแž€แžœแžถแž˜แžทแž“แž˜แžถแž“แž‘แŸ†แžšแž„แŸ‹ แž แŸ’แž‚แžถแž˜แŸ‰แŸ‚แž แž แžพแž™ แž แŸ’แž‚แžถแž˜แŸ‰แŸ‚แž แž€แŸแž˜แžทแž“แž”แž„แŸ’แž€แžพแž แž‚แŸ’แž“แžถแž‘แŸ…แžœแžทแž‰แž‘แŸ…แž˜แž€ แž แžพแž™ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž•แž›แžทแž แž€แŸ„แžŸแžทแž€แžถแžšแž–แžธแžš แžŠแŸ‚แž›แžšแžฝแž˜แž”แž‰แŸ’แž…แžผแž›แž‚แŸ’แž“แžถแž˜แžฝแž™แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž”แžถแž€แŸ‹แžแŸแžšแžธแž–แžธ แžขแžถแž…แžแžทแžแž˜แž€แž‡แžทแžแž‚แŸ’แž“แžถ แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แžšแŸ„แž˜แž˜แžฝแž™แž€แŸ’แž“แžปแž„แž…แŸ†แžŽแŸ„แž˜แžšแŸ„แž˜แž‡แžถแž…แŸ’แžšแžพแž“ -- แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž’แŸ’แžœแžพแžœแžถแž“แŸ…แž€แž“แŸ’แž›แŸ‚แž„แž“แŸแŸ‡แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžšแŸ„แž˜แž‘แžถแŸ†แž„แž“แŸแŸ‡ แž‡แžถแž‘แŸ’แžšแž„แŸ‹แž‘แŸ’แžšแžถแž™แžแžผแž… แž“แŸ…แž‡แžถแž™แžแžถแž„ แž“แŸƒแž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แž–แžฝแž€แžœแžถแž‡แžถ แž”แŸ†แž–แž„แŸ‹แžแžผแž…แŸ—แž“แŸแŸ‡แŸ” แžšแŸ„แž˜แž˜แžฝแž™ แžขแžถแž… แž—แŸ’แž‡แžถแž”แŸ‹แž–แžธแž”แžถแž€แŸ‹แžแŸแžšแžธแž˜แžฝแž™ แž‘แŸ…แž˜แžฝแž™แž‘แŸ€แž แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แžŸแŸ†แžแžถแž“แŸ‹แž“แŸ„แŸ‡ แžขแŸ’แž“แž€แž”แžถแž“แž…แŸ’แžšแž”แžถแž…แŸ‹แž”แž‰แŸ’แž…แžผแž› แž•แŸ’แž“แŸ‚แž€แžแžถแž„แž€แŸ’แž“แžปแž„แž“แŸƒ แž”แžถแž€แŸ‹แžแŸแžšแžธแž˜แžฝแž™ แž‘แŸ… แž˜แžฝแž™แž‘แŸ€แžแŸ” แžขแž‰แŸ’แž…แžนแž„แžแŸ’แž‰แžปแŸ†แžŸแžปแŸ†แž‚แžผแžš แž“แžผแž‚แŸ’แž›แžถแžแŸ‹ แž–แžฝแž€แžœแžถแŸ”
And then they have these other pieces of just DNA that hangs out called plasmids. These are just circular pieces of DNA. Maybe this guy has got this extra neat plasmid.
แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž–แžฝแž€แžœแžถแž˜แžถแž“แž”แŸ†แžŽแŸ‚แž€แž•แŸ’แžŸแŸแž„แž‘แŸ€แž แž“แŸƒ DNA แžŠแŸ‚แž› แž“แŸ…แž€แŸ’แžšแŸ…แž แŸ…แžแžถ แž•แŸ’แž›แžถแžŸแž˜แžธแžŠแŸ” แž‘แžถแŸ†แž„แž“แŸแŸ‡แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž‡แžถ แž”แŸ†แžŽแŸ‚แž€ DNA แžœแžทแž›แž‡แžปแŸ†แŸ” แž”แŸ’แžšแž แŸ‚แž›แž‡แžถแžขแžถแž˜แžฝแž™แž“แŸแŸ‡ แž”แžถแž“แž‘แž‘แžฝแž›แž™แž€ แž•แŸ’แž›แžถแžŸแž˜แžธแžŠ แž”แž“แŸ’แžแŸ‚แž˜แž‘แŸ€แžแŸ” แž‚แžถแžแŸ‹แž“แŸแŸ‡ แž”แžถแž“แž‘แž‘แžฝแž›แž™แž€แžœแžถแž–แžธแž€แž“แŸ’แž›แŸ‚แž„แžŽแžถแž˜แžฝแž™ แž แžพแž™ แžœแžถแž’แŸ’แžœแžพแžขแŸ„แž™แž‚แžถแžแŸ‹แžขแžถแž…แž’แŸ’แžœแžพ แžขแŸ’แžœแžธแŸ—แžŠแŸ‚แž›แžขแžถแž˜แžฝแž™แž“แŸแŸ‡แž˜แžทแž“แžขแžถแž…แž’แŸ’แžœแžพแž”แžถแž“แŸ” แž”แŸ’แžšแž แŸ‚แž›แž‡แžถแž“แŸ„แŸ‡แž‡แžถ R แž•แŸ’แž›แžถแžŸแž˜แžธแžŠ แžŠแŸ‚แž›แžแŸ’แžšแžผแžœแž”แžถแž“แž‚แŸแžŸแŸ’แž‚แžถแž›แŸ‹ แžŸแŸ†แžšแžถแž”แŸ‹แž’แŸ’แžœแžพแžขแŸ„แž™ แž”แžถแž€แŸ‹แžแŸแžšแžธ แžŸแžถแŸŠแŸ† แž‘แŸ…แž“แžทแž„ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แž‡แžถแž…แŸ’แžšแžพแž“แŸ” แž แžพแž™แžขแŸ’แžœแžธแž€แžพแžแžกแžพแž„แž‚แžบ แž”แžถแž€แŸ‹แžแŸแžšแžธแž“แŸ„แŸ‡ -- แž แžพแž™แžแžถแž˜แž–แžทแžแž‘แŸ… แž˜แžถแž“แžšแž”แŸ€แž” แžŠแŸ‚แž›แž”แžถแž€แŸ‹แžแŸแžšแžธ แžŠแžนแž„แžแžถ แžขแžถแž˜แžฝแž™แž“แŸแŸ‡ แž˜แžทแž“แž˜แžถแž“ R แž•แŸ’แž›แžถแžŸแž˜แžธแžŠแŸ” แž แžพแž™ แž™แžพแž„แž‘แžพแž”แžแŸ‚แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜แž™แž›แŸ‹ แžšแž”แŸ€แž”แžŠแŸ‚แž›แžœแžถ แž’แŸ’แžœแžพแž€แžถแžšแžแžถแž˜แž–แžทแžแž‘แŸ… แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž“แŸแŸ‡แž“แžนแž„ แž…แž˜แŸ’แž›แž„แžแŸ’แž›แžฝแž“แžฏแž„ แž แžพแž™ แž•แŸ’แžแž›แŸ‹แžขแŸ„แž™ แžขแžถแž˜แžฝแž™แž“แŸแŸ‡ แž“แžผแžœ แž€แŸ†แžŽแŸ‚แžแŸ’แž˜แžธ แž“แŸƒ R แž•แŸ’แž›แžถแžŸแž˜แžธแžŠแŸ” แžขแŸ’แž“แž€แž€แŸแžขแžถแž…แž˜แžถแž“แžšแž”แžŸแŸ‹แž‘แžถแŸ†แž„แžขแžŸแŸ‹แž“แŸแŸ‡แž•แž„แžŠแŸ‚แžš แžแŸ’แžšแŸแž“แžŸแŸ’แž–แž“แŸ‹แžŸแž“แŸ‹ แž แžพแž™ แžแŸ’แž‰แžปแŸ† แž‚แžฝแžšแžแŸ‚แž•แž›แžทแžแžœแžธแžŠแŸแžขแžผแž‘แžถแŸ†แž„แž˜แžฝแž› แž‘แŸ…แž›แžพแžšแžฟแž„แž“แŸแŸ‡ แž–แžธแž–แŸ’แžšแŸ„แŸ‡แž™แžพแž„แž˜แžถแž“ แžแŸ’แžšแŸแž“แžŸแŸ’แž–แž“แŸ‹แžŸแž“แŸ‹ แž•แž„แžŠแŸ‚แžšแŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž˜แžถแž“แž•แŸ’แž“แŸ‚แž€แžแŸ’แž›แŸ‡แž“แŸƒ DNA แžŠแŸ‚แž›แžขแžถแž…แž›แŸ„แž แž–แžธแž•แŸ’แž“แŸ‚แž€แž˜แžฝแž™ แž“แŸƒ แž”แŸ†แžŽแŸ‚แž€แž˜แžฝแž™แžšแž”แžŸแŸ‹ DNA แž‘แŸ…แž˜แžฝแž™แž‘แŸ€แž, แž แžพแž™แž‘แžถแŸ†แž„แž“แŸแŸ‡แžขแžถแž… แž”แž‰แŸ’แž…แž”แŸ‹แž“แŸ…แž€แŸ’แž“แžปแž„ แž˜แžฝแž™แž•แŸ’แžŸแŸแž„แž‘แŸ€แžแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžขแŸ’แžœแžธแžŠแŸ‚แž›แžขแŸ’แž“แž€แž˜แžถแž“แž แžถแž€แŸ‹แžŠแžผแž…แž‡แžถ -- แžœแžถแž˜แžทแž“แž˜แŸ‚แž“ แž€แžถแžšแž”แž„แŸ’แž€แž€แŸ†แžŽแžพแžแžŠแŸ„แž™แž—แŸแž‘ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แžขแŸ’แžœแžธแžŠแŸ‚แž›แžขแŸ’แž“แž€แž…แžถแŸ†แž”แžถแž…แŸ‹แžแŸ’แžšแžผแžœแž˜แžถแž“แž‚แžน แž€แžถแžšแž—แŸ’แž‡แžถแž”แŸ‹แž˜แžฝแž™ แž แžพแž™ แž”แžถแž€แŸ‹แžแŸแžšแžธแž‘แžถแŸ†แž„แž“แŸแŸ‡ แž”แž“แŸ’แžแžŠแŸ„แŸ‡แžŠแžผแžšแž‘แŸ…แžœแžทแž‰แž‘แŸ…แž˜แž€
DNA with each other and DNA is jumping back and forth, so you can imagine all sorts of combinations of DNA happen even within what you used to call one bacterial species and very quickly can turn to multiple species and become resistant to different things. If this makes it resistant to an antibiotic, then it can kind of spread the information to produce those resistant proteins or whatever to the other bacteria. So this is kind of a form of introducing variation.
DNA แž‡แžถแž˜แžฝแž™แž‚แŸ’แž“แžถ แž แžพแž™ DNA แž›แŸ„แžแž‘แŸ…แž˜แž€ แžŠแžผแž…แŸ’แž“แŸแŸ‡แžขแŸ’แž“แž€ แžขแžถแž…แžŸแŸ’แžšแž˜แŸ‰แŸƒ แžšแžถแž›แŸ‹แž”แŸ’แžšแž—แŸแž‘ แž“แŸƒแž€แžถแžšแžšแžฝแž˜แž”แž‰แŸ’แž…แžผแž›แž‚แŸ’แž“แžถ แžšแž”แžŸแŸ‹ DNA แž€แžพแžแž˜แžถแž“แžกแžพแž„ แžŸแžผแž˜แŸ’แž”แžธแžแŸ‚ แž“แŸ…แž€แŸ’แž“แžปแž„แžขแŸ’แžœแžธแžŠแŸ‚แž›แžขแŸ’แž“แž€แž’แŸ’แž›แžถแž”แŸ‹แž”แŸ’แžšแžพ แž แŸ… แž”แžถแž€แŸ‹แžแŸแžšแžธ แž”แŸ’แžšแž—แŸแž‘แž˜แžฝแž™ แž แžพแž™ แž™แŸ‰แžถแž„แž›แžฟแž“ แžœแžถแžขแžถแž… แžแŸ’แžšแž›แž”แŸ‹แž‘แŸ…แž‡แžถ แž”แŸ’แžšแž—แŸแž‘แž‡แžถแž…แŸ’แžšแžพแž“ แž แžพแž™ แž€แŸ’แž›แžถแž™แž‡แžถ แžŸแŸŠแžถแŸ† แž‘แŸ…แž“แžนแž„แžขแŸ’แžœแžธแŸ—แžแžปแžŸแž‚แŸ’แž“แžถแŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแž‘แžถแŸ†แž„แž“แŸแŸ‡ แž’แŸ’แžœแžพแžขแŸ„แž™แžœแžถแžŸแŸŠแžถแŸ† แž‘แŸ…แž“แžนแž„ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แž“แŸ„แŸ‡แžœแžถแžขแžถแž… แžšแžธแž€แžšแžถแž›แžŠแžถแž› แž–แžแŸŒแž˜แžถแž“ แžŠแžพแž˜แŸ’แž”แžธ แž”แž„แŸ’แž€แžพแž แž—แžถแž–แžŸแžถแŸŠแŸ† แž”แŸ’แžšแžผแžแŸแžขแžธแžปแž“แž‘แžถแŸ†แž„แž“แŸ„แŸ‡ แžฌ แžขแŸ’แžœแžธแŸ—แž‘แŸ…แž”แžถแž€แŸ‹แžแŸแžšแžธแž•แŸ’แžŸแŸแž„แž‘แŸ€แžแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž“แŸแŸ‡แž‡แžถแž”แŸ’แžšแž—แŸแž‘แž‘แŸ†แžšแž„แŸ‹ แž“แŸƒแž€แžถแžšแžŽแŸ‚แž“แžถแŸ†แž–แžธ แž€แžถแžšแž”แŸ’แžšแŸ‚แž”แŸ’แžšแžฝแž›แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž–แŸแž›แžขแŸ’แž“แž€แž”แž‰แŸ’แž…แžฝแž“ แžขแŸ’แžœแžธแŸ—แžแžถแž˜แžšแž™: แžšแŸ„แž˜ แž‚แŸแž แŸ… แžแžถ แž‡แžถแž‚แžผ, แž”แžถแž€แŸ‹แžแŸแžšแžธ แž‡แžถแž‚แžผแŸ”
Now, the last thing I want to talk about, because it's something that you've heard a lot about, are antibiotics. A lot of people, they get sick. The first thing they want to get is an antibiotic.
แžฅแž›แžผแžœ แžšแžฟแž„แž…แžปแž„แž€แŸ’แžšแŸ„แž™ แžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แž…แž„แŸ‹แž“แžทแž™แžถแž™ แž–แžธแž–แŸ’แžšแŸ„แŸ‡แžœแžถแž‡แžถ แžขแŸ’แžœแžธแž˜แŸ‰แŸ’แž™แžถแž„ แžŠแŸ‚แž›แžขแŸ’แž“แž€แž’แŸ’แž›แžถแž”แŸ‹แž›แžบแž‡แžถแž‰แžนแž€แž‰แž™ แž“แŸ„แŸ‡แž‚แžบ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€แŸ” แž˜แž“แžปแžŸแŸ’แžŸแž‡แžถแž…แŸ’แžšแžพแž“ แžŠแŸ‚แž›แžˆแžบแŸ” แžšแžฟแž„แžŠแŸ†แž”แžผแž„แžŠแŸ‚แž›แž‚แŸแž…แž„แŸ‹แž”แžถแž“แž‚แžบ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€แŸ”
And an antibiotic is just a whole class of chemicals and compounds, some of them naturally derived, some of them not, that kill bacteria. So now if someone is undergoing a surgery and they get a cut, instead of them having to worry about getting an infection, they'll take some antibiotics to prevent the bacteria from growing on them. But the question is how was this discovered or where does it come from?
แž แžพแž™ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž‡แžถ แž‡แžถแžแžทแž‚แžธแž˜แžธ แž‚แŸ’แžšแž”แŸ‹แž™แŸ‰แžถแž„ แž แžพแž™แž“แžทแž„ แžŸแž˜แžถแžŸแž’แžถแžแžป, แž˜แžฝแž™แž…แŸ†แž“แžฝแž“แž“แŸƒแž–แžฝแž€แžœแžถ แž‘แžถแž‰แž™แž€แž˜แž€แžŠแŸ„แž™แž’แž˜แŸ’แž˜แž‡แžถแžแžท, แžแŸ’แž›แŸ‡แž‘แŸ€แž แž˜แžทแž“แž‘แŸ, แžŠแŸ‚แž›แž“แžนแž„ แžŸแŸ†แž›แžถแž”แŸ‹แž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแžขแŸ’แž“แž€แžŽแžถแž˜แŸ’แž“แžถแž€แŸ‹ แžแŸ’แžšแžผแžœแž‘แž‘แžฝแž›แž€แžถแžšแžœแŸ‡แž€แžถแžแŸ‹ แž แžพแž™แž–แžผแž€แž‚แŸ แž˜แžถแž“แžŸแŸ’แž“แžถแž˜แž€แžถแžแŸ‹, แž‡แŸ†แž“แžฝแžŸแžขแŸ„แž™แž€แžถแžšแž”แžถแžšแž˜แŸ’แž— แžขแŸ†แž–แžธ แž€แžถแžšแž†แŸ’แž›แž„ แž‚แŸแž“แžนแž„แž›แŸแž” แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แžŠแžพแž˜แŸ’แž”แžธแž”แž„แŸ’แž€แžถแžš แž”แžถแž€แŸ‹แžแŸแžšแžธ แž€แŸ†แžปแžขแŸ„แž™แž›แžผแžแž›แžถแžŸแŸ‹แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžŸแŸ†แž“แžฝแžšแž“แŸ„แŸ‡แž‚แžน แž‚แŸแžšแž€แžƒแžพแž‰แžŠแŸ„แž™แžšแž”แŸ€แž”แžŽแžถ แžฌ แžœแžถแž˜แž€แž–แžธแž€แž“แŸ’แž›แŸ‚แž„แžŽแžถ? แž€แžถแžšแž–แžทแžแž‘แŸ… แžœแžถแž˜แž€แž–แžธ แžขแžถแžกแžทแž…แžŸแŸแž“แžŠแŸแžš แž แŸ’แžœแŸ’แžšแŸแž˜แž˜แžธแž‰แŸ” แžแŸ’แž‰แžปแŸ†แžŸแžผแž˜แžŸแžšแžŸแžšแžŸแŸ” แžŸแŸ†แžแžถแž“แŸ‹แžŽแžถแžŸแŸ‰ แž–แŸ’แžšแŸ„แŸ‡แžšแž”แž€แž‚แŸ†แž แžพแž‰แž“แŸƒ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แžแžถแž˜แž€แžถแžšแž™แž›แŸ‹แžƒแžพแž‰แžšแž”แžŸแŸ‹แžแŸ’แž‰แžปแŸ† แž‡แžถแžšแž”แž€แž‚แŸ†แž แžพแž‰แžŸแŸ†แžแžถแž“แŸ‹แž”แŸ†แž•แžปแž แžŸแŸ†แžšแžถแž”แŸ‹ แžแŸ’แž“แžถแŸ†แž–แŸแž‘แŸ’แž™ แž€แž“แŸ’แž›แž„แž˜แž€แŸ” แžขแžถแžกแžทแž…แžŸแŸแž“แžŠแŸแžš แž แŸ’แžœแŸ’แžšแŸแž˜แž˜แžธแž‰แŸ” แž‚แžถแžแŸ‹แž’แŸ’แžœแžพแž€แžถแžšแžŸแžทแž€แŸ’แžŸแžถ -- แžแŸ’แž‰แžปแŸ†แž‚แžทแžแžแžถ แžŸแŸ’แžแŸแž—แžธแžกแžผแž€แžผแž€แžผแžŸ แŸ” แžแŸ’แž‰แžปแŸ†แž—แŸ’แž›แŸแž…แž”แžถแž€แŸ‹แžแŸแžšแžธแž˜แžฝแž™แžŽแžถ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžœแžถ แž“แŸ…แž€แŸ’แž“แžปแž„ แž…แžถแž“ แž•แŸแžแž‘แŸ’แžšแžธแŸ” แž‚แžถแžแŸ‹แž”แžถแž“แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹ แž…แžถแž“ แž•แŸแžแž‘แŸ’แžšแžธแŸ” แžแŸ’แž‰แžปแŸ†แžŸแžผแž˜แž‚แžผ แž…แžถแž“ แž•แŸแžแž‘แŸ’แžšแžธแŸ” แž˜แžถแž“แžšแž„แŸ’แžœแž„แŸ‹แžแžผแž…แž˜แžฝแž™แŸ” แž˜แžถแž“แž‡แžธแžœแž‡แžถแžแžท แž”แŸ†แž”แŸ‰แž“แžแŸ’แž›แŸ‡ แžŠแŸ‚แž› แž”แžถแž€แŸ‹แžแŸแžšแžธ แžขแžถแž…แž›แžผแžแž›แžถแžŸแŸ‹แž”แžถแž“แŸ” แžงแž”แž˜แžถแžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธ แžœแžถแžšแžธแž€แž›แžผแžแž›แžถแžŸแŸ‹ แž“แŸ…แž›แžพ แž…แžถแž“ แž•แŸแžแž‘แŸ’แžšแžธแŸ” แž แžพแž™แž‚แžถแžแŸ‹แž…แŸแž‰แž‘แŸ…แž€แŸ’แžšแŸ… แž แžพแž™แž‚แžถแžแŸ‹แžแŸ’แžšแž›แž”แŸ‹แž˜แž€แž”แž“แŸ’แž‘แž”แŸ‹แžœแžทแž‰ แž แžพแž™แž‚แžถแžแžƒแžพแž‰ แž˜แžถแž“ แž–แžปแž˜แŸ’แž—แžแŸ’แž›แŸ‡ แž–แž–แžฝแž€แž•แŸ’แžŸแžทแžแž”แžถแž“แž›แžผแžแž›แžถแžŸแŸ‹แž›แžพแžœแžถ แžŠแžผแž…แž‡แžถ แž•แŸ’แžŸแžทแž แžšแžถแž„ แžแŸ€แžœ แž”แŸƒแžแž„ แž”แžถแž“แž›แžผแžแž›แžถแžŸแŸ‹ แž›แžพแž•แŸ’แž“แŸ‚แž€แž€แžŽแŸ’แžแžถแž›แž“แŸƒ แž…แžถแž“ แž•แŸแžแž‘แŸ’แžšแžทแŸ” แž แžพแž™แž”แžถแž€แŸ‹แžแŸแžšแžธ แžŠแžผแž…แž‡แžถแž˜แžถแž“ แž‚แŸ†แž›แžถแžแž‡แžปแŸ†แžœแžทแž‰แžœแžถ แž แžพแž™ แž”แžถแž€แŸ‹แžแŸแžšแžธแž˜แžทแž“แžขแžถแž… แž…แžผแž›แž‘แŸ…แž‡แžทแžแŸ” แž แžพแž™แž–แžปแž˜แŸ’แž—แž“แŸ„แŸ‡, แž•แŸ’แžŸแžทแžแž“แŸ„แŸ‡ แž‚แŸแž แŸ…แžแžถ แž–แŸแž“แžธแžŸแžธแžปแž›แžธแž“ แž•แŸ’แžŸแžทแž แž–แŸแž“แžธแžŸแžธแžปแž›แžธแž“แŸ” แž‚แžถแžแŸ‹แžขแžถแž…แžŸแŸ’แžœแŸ‚แž„แžšแž€แžƒแžพแž‰แŸ” แž‚แžถแžแŸ‹แž™แž€ แž‚แŸ†แžšแžผแžœแžทแž—แžถแž‚ แž˜แžฝแž™ แž แžพแž™ แž‚แžถแžแŸ‹ แžขแž”แŸ‹แžšแŸ†แžœแžถ แžŠแŸ‚แž›แž˜แžถแž“แž“แŸแž™แžแžถ แžขแŸ„แž™แžœแžถแž›แžผแžแž›แžถแžŸแŸ‹ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž˜แžพแž›แžแžถแžœแžถแž‡แžถแžขแŸ’แžœแžธแŸ” แž“แŸ„แŸ‡แž‚แžบ แž–แŸแž“แžธแžŸแžธแžปแž›แžธแž“แŸ” แž แžพแž™แž‚แžถแžแŸ‹แžšแž€แžƒแžพแž‰แžแžถ แž•แŸ’แžŸแžทแžแž“แŸแŸ‡แžแŸ’แžšแžผแžœแžแŸ‚แž˜แžถแž“ แžขแŸ’แžœแžธแž˜แŸ’แž™แŸ‰แžถแž„ แž‡แžถแžแžทแž‚แžธแž˜แžธแž˜แŸ’แž™แŸ‰แžถแž„ แžŠแŸ‚แž› แžœแžถแž”แž‰แŸ’แž…แŸแž‰ แž“แŸ„แŸ‡แž˜แžถแž“แžŸแžถแžš:แžŸแŸ†แžแžถแž“แŸ‹ แžŽแžถแžŸแŸ‹ แžŸแŸ†แžšแžถแž”แŸ‹ แžŸแŸ†แž›แžถแž”แŸ‹ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž‡แžปแŸ†แžœแžทแž‰แžแŸ’แž›แžฝแž“แžœแžถ แžŠแŸ‚แž›แž˜แžทแž“ แžขแž“แžปแž‰แŸ’แž‰แžถแžแžขแŸ„แž™ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž…แžผแž›แž˜แž€แž‡แžทแžแžœแžถแŸ” แžŠแžผแž…แž“แŸแŸ‡ แž“แžถแŸ†แž‘แŸ…แžšแž€ แžšแž”แž€แž‚แŸ†แž แžพแž‰ แž–แŸแž“แžธแžŸแžธแžปแž›แžธแž“แŸ”
This was in the late 20s, 1920s. By the time World War II came around, now people had gunshot wounds and they had to get things amputated, whatnot, but for the first time, they could actually give people antibiotics and not worry about-- or they probably still worried about it, but didn't have to worry about this thing as much as they did before. And now, you know, if you have bacteria, if you have tuberculosis or Lyme disease or anything, the treatment all involves taking antibiotics.
แž‘แžถแŸ†แž„แž“แŸ„แŸ‡ แž“แŸ…แž€แŸ’แž“แžปแž„แžšแžœแžถแž„ แž…แžปแž„ แž‘แžŸแžœแžแŸ’แžŸแž‘แžธ แŸขแŸ แŸ” แž“แŸ…แž–แŸแž›แžŸแž„แŸ’แž‚แŸ’แžšแžถแž˜แž›แŸ„แž€แž›แžพแž€แž‘แžธแž–แžธแžš แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜ แž–แŸแž›แž“แŸ„แŸ‡แž˜แž“แžปแžŸแŸ’แžŸแž™แžพแž„ แž˜แžถแž“แžšแž”แžฝแžŸ แž‚แŸ’แžšแžถแž”แŸ‹แž€แžถแŸ†แž—แŸ’แž›แžพแž„ แž แžพแž™แž–แžฝแž€แž‚แŸแžแŸ’แžšแžผแžœแž€แžถแžšแž€แžถแžแŸ‹แžขแžถแžœ:แž™แžœ: แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แž‡แžถแž›แžพแž€แž‘แžธแž˜แžฝแž™ แžŠแŸ‚แž›แž‚แŸแžขแžถแž…แžขแŸ„แž™แž˜แž“แžปแžŸแŸ’แžŸแž™แžพแž„ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แž แžพแž™แž˜แžทแž“แž”แžถแžšแž˜แŸ’แž—แžขแŸ†แž–แžธ -- แžฌ แž–แžฝแž‚แž‚แŸแž”แŸ’แžšแž แŸ‚แž›แž‡แžถแž“แŸ…แžแŸ‚ แž”แžถแžšแž˜แŸ’แž—แžขแŸ†แž–แžธแžœแžถแžŠแŸ‚แžš แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž˜แžทแž“แž…แžถแŸ†แž”แžถแž…แŸ‹แž”แžถแžšแž˜แŸ’แž—แžขแŸ†แž–แžธแžšแžฟแž„แž“แŸแŸ‡ แžแŸ’แž›แžถแŸ†แž„แžŠแžผแž…แž–แžธแž˜แžปแž“แž“แŸ„แŸ‡แž‘แŸแŸ” แž แžพแž™แžฅแž›แžผแžœแž“แŸแŸ‡ แžขแŸ’แž“แž€แžŠแžนแž„แž‘แŸ แž”แŸ’แžšแžŸแžทแž“แž”แžพแžขแŸ’แž“แž€แž˜แžถแž“แž”แžถแž€แŸ‹แžแŸแžšแžธ แž แžพแž™แžขแŸ’แž“แž€แž˜แžถแž“ แž‡แŸ†แž„แžบแžšแž”แŸแž„ แžฌ แž‡แŸ†แž„แžบแžกแŸ‚แž˜ แžฌ แžขแŸ’แžœแžธแž•แŸ’แžŸแŸแž„แž‘แŸ€แž, แž€แžถแžšแž–แŸ’แž™แžถแž”แžถแž›แž‘แžถแŸ†แž„แž“แŸ„แŸ‡ แž‡แžถแž”แŸ‹แž‘แžถแž€แŸ‹แž‘แžทแž“ แž“แžทแž„ แž€แžถแžšแž”แŸ’แžšแžพแžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€แŸ” แž แžพแž™แž˜แžถแž“ แžขแž„แŸ‹แž‘แžธแž”แŸŠแžธแž™แŸ‰แžผแž‘แžทแž€ แž…แŸ’แžšแžพแž“ แž…แŸ’แžšแžพแž“ แž”แŸ’แžšแž—แŸแž‘แŸ€แžแžŽแžถแžŸแŸ‹ แžŸแž–แŸ’แžœแžแŸ’แž„แŸƒแž“แŸแŸ‡ แž˜แž€แž–แžธแž”แŸ’แžšแž—แž–แžแžปแžŸแŸ—แž‚แŸ’แž“แžถแž‡แžถแž…แŸ’แžšแžพแž“ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แž‚แŸ†แž“แžทแžแž‘แžผแž‘แŸ…แž‚แžบแžŠแžผแž…แž‚แŸ’แž“แžถแŸ” แžขแŸ’แž“แž€แž…แž„แŸ‹แžŸแŸ†แž›แžถแž”แŸ‹แž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แž‘แŸ„แŸ‡แžขแŸ’แž“แž€แž˜แžทแž“แž…แž„แŸ‹แžŸแŸ†แž›แžถแž”แŸ‹แž”แžถแž€แŸ‹แžแŸแžšแžธแž‘แžถแŸ†แž„แžขแžŸแŸ‹แž€แŸแžŠแŸ„แž™ แž–แžธแž–แŸ’แžšแŸ„แŸ‡ แž˜แžถแž“แžแŸ’แž›แŸ‡แž›แŸ’แžขแŸ” แžแžถแž˜แž–แžทแžแž‘แŸ… แž™แžพแž„แžแŸ’แžšแžผแžœแž”แžถแž“แž”แž„แŸ’แž€แžพแžแžกแžพแž„แžŠแŸ„แž™แž”แžถแž€แŸ‹แžแŸแžšแžธแž‡แžถแž…แŸ’แžšแžพแž“แŸ” แžแŸ’แž‰แžปแŸ†แž˜แžทแž“แžŠแžนแž„แžแžถ แžแŸ’แž‰แžปแŸ†แž”แžถแž“แž“แžทแž™แžถแž™แž–แžธแžšแžฟแž„แž“แŸแŸ‡ แž“แŸ…แžœแžธแžŠแŸแžขแžผแž˜แžปแž“แž แžพแž™แžฌ แž“แŸ…แŸ” แž˜แžถแž“แž”แžถแž€แŸ‹แžแŸแžšแžธ แž“แŸ…แž€แŸ’แž“แžปแž„แžŸแŸ’แž”แŸ‚แž€แžšแž”แžŸแŸ‹แž™แžพแž„ แžŠแŸ‚แž›แž‡แžฝแž™แž‡แŸ†แžšแžปแž‰แž‡แžถแžแžทแž”แŸ’แžšแŸแž„ แž“แžทแž„ แžŸแŸ†แžŽแžพแž˜ แž แžพแž™แž’แŸ’แžœแžพแžขแŸ„แž™แžŸแŸ’แž”แŸ‚แž€แžšแž”แžŸแŸ‹แž™แžพแž„ แž‘แž“แŸ‹แžŸแŸ’แžขแžถแžแŸ” แžขแŸ’แž“แž€แžŠแžนแž„แž‘แŸ แžšแž”แŸ€แž”แžŠแŸ‚แž›แžขแŸ’แž“แž€แž‚แžทแžแžขแŸ†แž–แžธแžœแžถ แžขแŸ’แž“แž€แžขแžถแž…แžƒแžพแž‰ แž–แžฝแž€แžœแžถ แžขแžœแžทแž‡แŸ’แž‡แž˜แžถแž“ แžฌ แžขแŸ’แž“แž€แžขแžถแž…แžƒแžพแž‰แž–แžฝแž€แžœแžถ แžœแžทแž‡แŸ’แž‡แž˜แžถแž“ แžฌ แžขแŸ’แž“แž€ แžขแžถแž…แžƒแžพแž‰แž–แžฝแž€แžœแžถ แž“แŸ…แžšแžœแžถแž„แž“แŸ„แŸ‡ แž”แŸ‰แžปแž“แŸ’แžแŸ‚ แžขแŸ’แžœแžธแžŠแŸ‚แž›แžขแžŸแŸ’แž…แžถแžšแŸ’แž™ แž™แŸ‰แžถแž„แž แŸ„แž…แžŽแžถแžŸแŸ‹ แžแžถแž˜แž€แžถแžšแž™แž›แŸ‹แžƒแžพแž‰ แžšแž”แžŸแŸ‹แžแŸ’แž‰แžปแŸ† แž‚แžบแž™แžพแž„แž€แŸ†แž–แžปแž„แžแŸ‚แžšแžŸแŸ‹แž“แŸ…แž€แŸ’แž“แžปแž„ แžŸแž˜แŸ’แž–แž“แŸ’แž’แŸแž‡แžธแžœแžทแžแž‡แžถแž˜แžฝแž™แž–แžฝแž€แžœแžถแŸ” แžแŸ’แž‰แžปแŸ†แž…แžถแŸ†แž”แžถแž“ แžแŸ’แž‰แžผแŸ†แž”แžถแž“แž˜แžพแž› แž€แžปแž“แžœแž‚แŸ’แž‚ แžŸแŸ’แžแžถแžแŸ’แžšแŸแž€ แž˜แŸ’แžแž„ แžŠแŸ‚แž›แž™แžพแž„แž˜แžถแž“ แž˜แž“แžปแžŸแŸ’แžŸแž‘แžถแŸ†แž„แžขแžŸแŸ‹แž“แŸแŸ‡แŸ” แž™แžพแž„แž˜แžถแž“แž˜แž“แžปแžŸแŸ’แžŸแž‘แžถแŸ†แž„แžขแžŸแŸ‹แž“แŸแŸ‡ แž แžพแž™แž–แžฝแž€แž‚แŸแž‡แžถแž˜แž“แžปแžŸแŸ’แžŸแž–แžทแž—แž–แž•แŸ’แžŸแŸแž„แŸ” แž‡แžธแž“แž›แžปแž€ แž—แžธแžแžถแž -- แž–แžฝแž€แž‚แŸแžšแžแŸ‹แžŸแŸ†แžŠแŸ…แž‘แŸ…แž–แžฝแž€แž“แŸ„แŸ‡แŸ” แž–แžฝแž€แž‚แŸแž˜แžพแž›แž‘แŸ…แžŸแŸ’แžšแžŠแŸ€แž„แž‘แŸ…แž“แžนแž„แž˜แž“แžปแžŸแŸ’แžŸแžŠแŸ‚แžšแŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžœแžถแž”แŸ’แžšแŸ‚แž‡แžถ -- แžแŸ’แž‰แžปแŸ†แžŸแžผแž˜แž‚แžผแžš แž˜แž“แžปแžŸแŸ’แžŸแž“แŸแŸ‡ -- แžŠแŸ‚แž›แž‚แŸแž˜แžถแž“ แžŸแžแŸ’แžœแž›แŸ’แžขแžทแžแžแžผแž…แŸ—แž‘แžถแŸ†แž„แž“แŸแŸ‡ แž“แŸ…แž€แŸ’แž“แžปแž„แžแžฝแžšแž€แŸ’แž”แžถแž›แž‚แŸแŸ” แžขแž‰แŸ’แž…แžนแž„ แž–แžฝแž€แž‚แŸแž˜แžถแž“ แžŸแžแŸ’แžœแž›แŸ’แžขแžทแžแž’แŸ†แŸ— แž“แŸ…แž€แŸ’แž“แžปแž„แžแžฝแžšแž€แŸ’แž”แžถแž›แž‚แŸ แž แžพแž™ แžŸแžแŸ’แžœแž›แŸ’แžขแžทแžแž‘แžถแŸ†แž„แž“แŸแŸ‡ แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜ แž…แŸ†แž›แž„แž˜แŸแžšแŸ„แž‚ แž‘แŸ…แž™แžถแž“แžทแž€ แžขแžทแžปแž“แžแžพแž”แŸ’แžšแžถแž™ แž แžพแž™ แž–แžฝแž€แžœแžถแž‚แŸ’แžšแž”แŸ‹แž‚แŸ’แžšแž„ แžแžฝแžšแž€แŸ’แž”แžถแž›แžšแž”แžŸแŸ‹แž–แžฝแž€แž‚แŸ แž แžพแž™แž’แŸ’แžœแžพแžขแŸ„แž™แž–แžฝแž€แž‚แŸ แžŸแŸ†แžŠแŸ‚แž„ แž…แŸแž‰แž…แŸ†แž›แŸ‚แž€ แž แžพแž™แž˜แžทแž“แžแŸ’แžœแž›แŸ‹แžแžถ แž™แŸ‰แžถแž„แž˜แŸแŸ‰แž…แž‘แŸ, แž“แŸแŸ‡แž˜แžพแž›แž‘แŸ… แž‡แžถแž‚แŸ†แž“แžทแžแž˜แž“แžปแžŸแŸ’แžŸแž—แž–แž•แŸ’แžŸแŸแž„แžŠแŸแž…แŸ†แž›แŸ‚แž€ แž“แŸƒแžšแž”แžŸแŸ‹แžŠแŸแž‚แžฝแžšแžขแŸ„แž™แžแŸ’แž›แžถแž… แžšแžŸแŸ‹แž“แŸ… แž€แŸ’แž“แžปแž„แžแŸ’แž›แžฝแž“แž™แžพแž„ แž แžพแž™แž”แŸ‰แŸ‡แž–แžถแž›แŸ‹แžŠแž›แŸ‹แžแžฝแžšแž€แŸ’แž”แžถแž›แž™แžพแž„ แž แžพแž™แž”แŸ‰แŸ‡แž–แžถแž›แŸ‹แžŠแž›แŸ‹แž™แžพแž„แžแžถแž˜แžœแžทแž’แžธแž•แŸ’แžŸแŸแž„แŸ—แŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž”แŸ’แžšแžŸแžทแž“แž”แžพ แžขแŸ’แž“แž€แž‚แžธแžแžขแŸ†แž–แžธแžœแžถ แž™แžพแž„แž’แŸ’แžœแžพแžšแžฟแž„แž“แŸแŸ‡ แž แžพแž™ แžœแžถแž˜แžทแž“แž˜แŸ‚แž“แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž‡แžถแž˜แžฝแž™ แžŸแžแŸ’แžœแž›แŸ’แžขแžทแž แžแžผแž…แž˜แžฝแž™ แž“แŸ„แŸ‡แž‘แŸ แžœแžถแžŸแŸ’แžแžทแž แž“แŸ…แž€แŸ†แžšแžทแž แž˜แžฝแž™แž›แžถแž“แž›แžถแž“แŸ” แžšแžถแž”แŸ‹แžšแž™ แž›แžถแž“แž›แžถแž“ แž“แŸƒแžŸแžแŸ’แžœแž›แŸ’แžขแžทแž แž“แŸ…แž‡แžถแž˜แžฝแž™แž™แžพแž„แž‡แžถแžšแŸ€แž„แžšแžถแž›แŸ‹แžแŸ’แž„แŸƒ แž แžพแž™แž–แžฝแž€แžœแžถ แž‡แžถแžขแŸ’แž“แž€แž”แž„แŸ’แž€แžพแžแž™แžพแž„แŸ” แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แž“แŸแž™แžแžถ แžแŸ’แž‰แžปแŸ†แž€แŸ†แž–แžปแž„แžแŸ‚แžแžแžœแžทแžŠแŸแžขแžผ แž‡แžถแž˜แžฝแž™แž“แžทแž„ -- แžฌ แž”แŸ’แžšแž แŸ‚แž›แž‡แžถแžแŸ’แž‰แžปแŸ† แž‚แžฝแžšแž“แžทแž™แžถแž™แžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธ แž€แŸ†แž–แžปแž„แžแžแžœแžทแžŠแŸแžขแžผ แžฌ แž•แŸ’แž“แŸ‚แž€แžแŸ’แž›แŸ‡แžขแžถแž…แž“แžนแž„ แž‘แž‘แžฝแž›แžแžปแžŸแžแŸ’แžšแžผแžœ แž…แŸ†แž–แŸ„แŸ‡แž€แžถแžšแž‚แŸ’แžšแž”แŸ‹แž‚แŸ’แžšแž„ แž”แžถแž€แŸ‹แžแŸแžšแžธแŸ” แž แžพแž™แžœแžถแžŠแžนแž„แžแžถ แž”แžถแž€แŸ‹แžแŸแžšแžธแžขแžถแž…แž”แŸ‰แŸ‡แž–แžถแž›แŸ‹แžŠแž›แŸ‹ แžŸแŸ’แžแžถแž“แž—แžถแž–แžแžฝแžšแž€แŸ’แž”แžถแž›แžšแž”แžŸแŸ‹แž™แžพแž„แŸ” แžŸแž–แŸ’แžœแžแŸ’แž„แŸƒ แž˜แžถแž“แž€แžถแžšแžŸแŸ’แžšแžถแžœแž‡แŸ’แžšแžถแž”แž’แŸ†แŸ— แž‡แžถแž…แŸ’แžšแžพแž“แžŠแŸ‚แž› แž”แŸ’แžšแž—แŸแž‘แž”แžถแž€แŸ‹แžแŸแžšแžธแž‡แžถแž€แŸ‹แž›แžถแž€แŸ‹แžแŸ’แž›แŸ‡ แžขแžถแž…แž”แž„แŸ’แž€ แž‡แžถแž‡แŸ†แž„แžบแž”แŸ‚แž€แžแŸ’แž‰แŸ‚แž€แžŸแŸ’แž˜แžถแžšแžแžธแŸ” แžแžถแž˜แž–แžทแžแž‘แŸ… แžŸแžธแžปแž›แž—แžธแž›แžธแžŸ แž’แŸ’แžœแžพแžšแžฟแž„แž“แŸแŸ‡แŸ” แž”แžถแž€แŸ‹แžแŸแžšแžธ แžขแžถแž…แž”แž„แŸ’แž€แžš แž‡แžถ แž‡แŸ†แž„แžบแž”แžถแž€แŸ‹แž‘แžนแž€แž…แžทแžแŸ’แžแŸ” แž‡แŸ†แž„แžบ แžกแŸ‚แž˜, แžแŸ’แžšแžผแžœแž”แžถแž“แžŸแŸ’แž‚แžถแž›แŸ‹แžแžถ แž“แŸ…แž–แŸแž›แžขแŸ’แž“แž€แžœแžทแžœแžŒแŸ’แžแž“แŸ แž‘แŸ…แžŠแŸ†แžŽแžถแž€แŸ‹แž€แžถแž›แž…แžปแž„แž€แŸ’แžšแŸ„แž™ แž“แŸƒแž‡แŸ†แž„แžบแžกแŸ‚แž˜ แžœแžถแžขแžถแž…แž”แŸ‰แŸ‡แž–แžถแž›แŸ‹แžŠแž›แŸ‹แžŸแŸ’แžแžถแž“แž—แžถแž–แžแžฝแžšแž€แŸ’แž”แžถแž› แžšแž”แžŸแŸ‹ แž˜แž“แžปแžŸแŸ’แžŸ แžŠแŸ‚แž›แž˜แžถแž“แž†แŸ’แž›แž„แž‡แŸ†แž„แžบ, แžŠแžผแž…แŸ’แž“แŸแŸ‡แžœแžถแž”แŸ‰แŸ‡แž–แžถแž›แŸ‹ แžŠแž›แŸ‹แž‚แŸ’แžšแž”แŸ‹แž•แŸ’แž“แŸ‚แž€ แž“แŸƒแžแŸ’แž›แžฝแž“แž™แžพแž„แŸ” แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แž“แŸแž™แžแžถ แžœแžถแž”แŸ’แžšแž แŸ‚แž›แž‡แžถแž–แžทแž”แžถแž€ แžŸแžผแž˜แŸ’แž”แžธแžแŸ‚แž“แžทแž™แžถแž™แžขแŸ†แž–แžธแž—แžถแž–แž‡แžถแž˜แž“แžปแžŸแŸ’แžŸ แžŠแŸ„แž™แž‚แŸ’แž˜แžถแž“ แŸกแŸ % แž“แŸƒ แž˜แŸ‰แžถแžŸแžšแž”แžŸแŸ‹แž™แžพแž„ แžฌแž€แŸ แŸขแŸ แŸ แŸ  แž›แžถแž“แž›แžถแž“ แž€แŸ„แžŸแžทแž€แžถ แžฌ แŸขแŸ แŸ แŸ  แž›แžถแž“แž›แžถแž“ แž”แžถแž€แŸ‹แžแŸแžšแžธ แžŠแŸ‚แž› แž”แž„แŸ’แž€แžพแžแž”แžถแž“แž‡แžถแž™แžพแž„แŸ”
Let's do a couple of word problems dealing with exponential growth and decay. So this first problem, suppose a radioactive substance decays at a rate of 3.5% per hour.
แžฅแžกแžผแžœแž“แŸแŸ‡ แž™แžพแž„แž“แžนแž„แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž…แŸ†แžŽแŸ„แž‘แžŠแŸ‚แž›แž‘แžถแž€แŸ‹แž‘แž„แž“แžนแž„ แžขแž“แžปแž‚แž˜แž“แŸแžขแŸŠแžทแž…แžŸแŸ’แž”แŸ‰แžผแžŽแž„แŸ‹แžŸแŸ’แž™แŸ‚แž›แž€แžพแž“ แž“แžทแž„ แžขแž“แžปแž‚แž˜แž“แŸแžขแŸŠแžทแž…แžŸแŸ’แž™แŸ‰แžฝแžŽแž„แŸ‹แžŸแŸ’แž™แŸ‚แž›แž…แžปแŸ‡ แŸ” แž…แŸ†แžŽแŸ„แž‘แžธแŸกแŸ– แžŸแžถแžšแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜แžแž™แž…แžปแŸ‡ แž€แŸ’แž“แžปแž„แžขแžแŸ’แžšแžถ แŸฃ.แŸฅ% แž€แŸ’แž“แžปแž„แž˜แžฝแž™แž˜แŸ‰แŸ„แž„ แŸ” แž…แžผแžšแž€แŸ†แžŽแžแŸ‹แž—แžถแž‚แžšแž™แž“แŸƒแžŸแžถแžšแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜แžŠแŸ‚แž›แž“แŸ…แžŸแž›แŸ‹ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž–แžธแžšแž™แŸˆแž–แŸแž› แŸฆ แž˜แŸ‰แŸ„แž„ ? แžŠแžผแž…แž“แŸแŸ‡ แžŠแžพแž˜แŸ’แž”แžธแžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž…แŸ†แžŽแŸ„แž‘แž“แŸแŸ‡ แž™แžพแž„แž”แž„แŸ’แž€แžพแžแžแžถแžšแžถแž„แžแž˜แŸ’แž›แŸƒแž›แŸแž แžŠแžพแž˜แŸ’แž”แžธแž‡แžถแž‡แŸ†แž“แžฝแž™แžŸแž˜แŸ’แžšแžถแž”แŸ‹แž”แŸ‰แžถแž“แŸ‹แž”แŸ’แžšแž˜แžถแžŽ แžŠแžผแž…แž“แŸแŸ‡ แžแžพแž“แžนแž„แž˜แžถแž“แžขแŸ’แžœแžธ แž€แžพแžแžกแžพแž„ ! แž แžพแž™ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€แž™แžพแž„แž“แžนแž„แž”แžถแž“แžšแžผแž”แž˜แž“แŸ’แžแž‘แžผแž‘แŸ… แž€แŸ’แž“แžปแž„แž€แžถแžšแž€แŸ†แžŽแžแŸ‹แžŸแžถแžšแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜ แžŠแŸ‚แž›แž“แŸ…แžŸแž›แŸ‹แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž› n แž˜แŸ‰แŸ„แž„ แŸ” แžŠแžผแž…แž“แŸแŸ‡แž™แžพแž„แž“แžนแž„แž€แŸ†แžŽแžแŸ‹แž…แŸ†แž“แžฝแž“แž˜แŸ‰แŸ„แž„ แž“แžทแž„ แž—แžถแž‚แžšแž™แž“แŸƒแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜แžŠแŸ‚แž›แž“แŸ…แžŸแž›แŸ‹แŸ” แžŠแžผแž…แž“แŸแŸ‡ แž€แŸ’แž“แžปแž„ แžšแž™แŸˆแž–แŸแž› แŸ  แž˜แŸ‰แŸ„แž„ แžแžพแž—แžถแž‚แžšแž™แž“แŸ…แžŸแž›แŸ‹แžŸแŸ’แž˜แžพแž”แŸ‰แžปแž“แŸ’แž˜แžถแž“? แžŠแŸ†แžŽแžถแž€แŸ‹แž€แžถแž›แž“แŸแŸ‡ แž˜แžทแž“แž‘แžถแž“แŸ‹แž€แŸ†แžŽแžแŸ‹แž”แžถแž“แžขแž“แžปแž‚แž˜แž“แŸแž…แžปแŸ‡แž‘แŸ แž˜แžถแž“แž“แŸแž™แžแžถ แžŸแžถแžšแž’แžถแžแžปแž“แŸ…แžŸแž›แŸ‹ แŸกแŸ แŸ  % แŸ” แžแŸ‚แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž›แŸกแž˜แŸ‰แŸ„แž„แž€แŸ’แžšแŸ„แž™ แžแžพแžŸแžถแžšแž’แžถแžแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜แž‘แŸ…แž‡แžถแž™แŸ‰แžถแž„แžŽแžถ ? แž”แžพแžŸแžถแžšแž’แžถแžแžปแžแž™แž…แžปแŸ‡ แž€แŸ’แž“แž„แžขแžแŸ’แžšแžถ แŸฃ.แŸฅ % แž€แŸ’แž“แžปแž„แž˜แžฝแž™แž˜แŸ‰แŸ„แž„ แŸ” แžŠแžผแž…แž“แŸแŸ‡ แžขแžแŸ’แžšแžถแžแž™แž…แžปแŸ‡ แŸฃ.แŸฅ% แž‚แžบ แžแŸ’แžšแžผแžœแž‡แžถ แŸ .แŸฉแŸฆแŸฅ แžŸแž˜แž˜แžผแž›แž“แžนแž„ แŸฉแŸฆ.แŸฅ% แž…แžผแžšแž…แž„แž…แžถแŸ†แžแžถ แž”แžพแž™แžพแž„แž™แž€ แŸก แžŠแž€ แŸฃ.แŸฅ% แžฌ แŸกแŸ แŸ % แžŠแž€ แŸฃ.แŸฅ% แž“แŸ„แŸ‡แž—แžถแž‚แžšแž™แž“แŸƒแžŸแžถแžšแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜ แžŠแŸ‚แž›แžแž™แž…แžปแŸ‡ แž‡แžถแžšแŸ€แž„แžšแžถแž›แŸ‹แž˜แŸ‰แŸ„แž„ แž‚แžบ แžŸแŸ’แž˜แžพแž“แžนแž„ แŸฉแŸฆ.แŸฅ% แžŠแžผแž…แž“แŸแŸ‡แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž›แž–แžธ แŸก แž˜แŸ‰แŸ„แž„แž‘แŸ… แž˜แžฝแž™แž˜แŸ‰แŸ„แž„ แž™แžพแž„แž“แžนแž„แž˜แžถแž“ แŸฉแŸฆ.แŸฅ% แž“แŸƒแžšแž™แŸˆแž–แŸแž›แž˜แžปแž“ แŸ” แžŠแžผแž…แž“แŸแŸ‡ แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž›แŸกแž˜แŸ‰แŸ„แž„ แž™แžพแž„แž“แžนแž„แž”แžถแž“ แŸฉแŸฆ.แŸฅ% แž“แŸƒแžšแž™แŸˆแž–แŸแž›แžŠแŸ†แž”แžผแž„ แžฌ แŸ .แŸฉแŸฆแŸฅ แž‚แžปแžŽแž“แžนแž„ แŸกแŸ แŸ  แŸ” แž…แžปแŸ‡แžšแž™แŸˆแž–แŸแž› แŸขแž˜แŸ‰แŸ„แž„แž€แŸ’แžšแŸ„แž™ แžแžพแžŸแžถแžšแž’แžถแžแž“แŸ„แŸ‡แž™แŸ‰แžถแž„แžŠแžผแž…แž˜แŸ’แžแŸแž…แžŠแŸ‚แžš? แžŠแŸ…แž…แž‚แŸ’แž“แžถแžŠแŸ‚แžš แž™แžพแž„แž“แžนแž„แž”แžถแž“ แŸฉแŸฆ.แŸฅ% แž“แŸƒแžšแž™แŸˆแž–แŸแž›แž˜แžปแž“ แžœแžถแž“แžนแž„แžแž™ แŸฃ.แŸฅ% แž˜แžถแž“แž“แŸแž™แžแžถ แž™แžพแž„แž˜แžถแž“ แŸฉแŸฆ.แŸฅ% แž“แŸƒแžšแž™แŸˆแž–แŸแž›แž˜แžปแž“
We will have lost 3.5%, which means that we have 96.5% of the previous hour.
แž‚แžบ แŸ .แŸฉแŸฆแŸฅ แž‚แžปแžŽแž“แžนแž„ แŸกแŸ แŸ 
I think you see where this is going, in general. So in the first hour, we have 0.965 to the first power, times 100. In the zeroth hour, we have 0.965 to the zeroth power.
แžแŸ’แž‰แžปแŸ†แž‚แžทแžแžแžถ แžขแŸ’แž“แž€แž“แžนแž„แžŠแžนแž„แž–แžธแžขแŸ’แžœแžธแžŠแŸ‚แž›แž”แžถแž“แž€แžพแžแžกแžพแž„ แŸ” แžŠแžผแž…แž“แŸแŸ‡ แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž›แŸกแž˜แŸ‰แŸ„แž„ แž™แžพแž”แžถแž“ แŸ .แŸฉแŸฆแŸฅ แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸก แž‚แžปแžŽแž“แžนแž„ แŸกแŸ แŸ  แžŠแžผแž…แž“แŸแŸ‡ แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž›แŸ แž˜แŸ‰แŸ„แž„ แž™แžพแž”แžถแž“ แŸ .แŸฉแŸฆแŸฅ แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸ  แž‚แžปแžŽแž“แžนแž„ แŸกแŸ แŸ  แž™แžพแž„แž˜แžทแž“แžขแžถแž…แž˜แžพแž›แžƒแžพแž‰ แžแŸ‚แž™แžพแž„แžŠแžนแž„แž…แŸ†แž“แžฝแž“ แŸก แž‚แžปแžŽแž“แžนแž„ แŸกแŸ แŸ  แž€แŸ’แž“แžปแž„แž˜แŸ‰แŸ„แž„แž‘แžธแŸข แž™แžพแž„แž”แžถแž“ แŸ .แŸฉแŸฆแŸฅ แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸข แž‚แžปแžŽแž“แžนแž„ แŸกแŸ แŸ  แž‡แžถแž‘แžผแž‘แŸ… แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž› n แž˜แŸ‰แŸ„แž„ แž™แžพแž„แž“แžนแž„แž”แžถแž“ แŸ .แŸฉแŸฆแŸฅ แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ n แž‚แžปแžŽแž“แžนแž„ แŸกแŸ แŸ  แž‡แžถแžŸแžถแžšแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜แžŠแŸ‚แž›แž“แŸ…แžŸแž›แŸ‹ แŸ”
And oftentimes you'll see it written this way. You have your initial amount times your common ratio, 0.965 to the nth power. This is how much you're going to have left after n hours.
แž‡แžถแž‘แžผแž‘แŸ… แž™แžพแž„แž“แžนแž„แžƒแžพแž‰แž–แžธแž‘แž˜แŸ’แžšแž„แŸ‹แž“แŸƒแž€แžถแžšแžŸแžšแžŸแŸแžšแžŠแžผแž…แžแžถแž„แž›แžพ แž™แžพแž„แž”แžถแž“ แŸ .แŸฉแŸฆแŸฅ แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ n แž“แŸแŸ‡แž‡แžถแž—แžถแž‚แžšแž™แž“แŸƒแžŸแžถแžšแž’แžถแžแžปแžŠแŸ‚แž›แž“แŸ…แžŸแž›แŸ‹แž”แž“แŸ’แž‘แžถแž”แŸ‹แž–แžธแžšแž™แŸˆแž–แŸแž› n แž˜แŸ‰แŸ„แž„ แž–แŸแž›แž“แŸแŸ‡ แž™แžพแž„แž“แžนแž„แž†แŸ’แž›แžพแž™แžแž”แž“แžนแž„แžŸแŸ†แžŽแžผแžšแžŠแŸ‚แž›แžŸแžฝแžšแžแžถ แž…แžผแžšแž€แŸ†แžŽแžแŸ‹แž—แžถแž‚แžšแž™แž“แŸƒแžŸแžถแžšแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜แžŠแŸ‚แž›แž“แŸ…แžŸแž›แŸ‹ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž–แžธแžšแž™แŸˆแž–แŸแž› แŸฆ แž˜แŸ‰แŸ„แž„ ? แžŠแžผแž…แž“แŸแŸ‡แž™แžพแž„แž‘แž‘แžฝแž›แž”แžถแž“ แŸกแŸ แŸ แž‚แžปแžŽแž“แžนแž„ แŸ .แŸฉแŸฆแŸฅ แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸฆ
Well, we're going to have 100 times 0.965 to the sixth power left. And we could use a calculator to figure out what that is. Let's use our trusty calculator.
แžŠแžพแž˜แŸ’แž”แžธแž„แžถแž™แžŸแŸ’แžšแžฝแž›แž™แžพแž„แž”แŸ’แžšแžพแž˜แŸ‰แžถแžŸแŸŠแžธแž“แž‚แžทแžแž›แŸแž แž”แŸ’แžšแžพแž˜แŸ‰แžถแžŸแŸŠแžธแž“แž‚แžทแžแž›แŸแž แžŠแžผแž…แž“แŸแŸ‡ แŸกแŸ แŸ  แž‚แžปแžŽแž“แžนแž„ แŸ .แŸฉแŸฆแŸฅ แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸฆ แžŸแŸ’แž˜แžพแž“แžนแž„ แŸจแŸ .แŸงแŸฅ% แž…แž˜แŸ’แž›แžพแž™แž“แŸแŸ‡แž‚แžทแžแž‡แžถแž—แžถแž‚แžšแž™แž แžพแž™ แŸ” แžŠแžผแž…แž“แŸแŸ‡ แŸจแŸ .แŸงแŸฅ% แž‡แžถแžŸแžถแžšแž’แžถแžแžปแžœแžทแž‘แŸ’แž™แžปแžŸแž€แž˜แŸ’แž˜แžŠแŸ‚แž›แž“แŸ…แžŸแž›แŸ‹ แŸ”
So it's 80.75% of our original substance. Let's do another one of these. So we have, Nadia owns a chain of fast food restaurants that operated 200 stores in 1999.
แž…แŸ†แžŽแŸ„แž‘แž‘แžธแŸขแŸ– แžŽแžถแžŒแžถ แž‡แžถแž—แŸ„แž‡แž“แžธแž™แžŠแŸ’แž‹แžถแž“แž›แž€แŸ‹แžขแžถแž แžถแžš fast food แžŠแŸ‚แž›แž˜แžถแž“แžŸแžถแžแžถ แž”แž˜แŸ’แžšแžพแžŸแŸแžœแžถแž€แž˜แŸ’แž˜แž…แŸ†แž“แžฝแž“ แŸขแŸ แŸ  แžŸแžถแžแžถ แž€แŸ’แž“แžปแž„แž†แŸ’แž“แžถแŸ† แŸกแŸฉแŸฉแŸฉ แŸ” แž”แžพแžŸแžทแž“แž‡แžถ แžขแžแŸ’แžšแžถแž€แŸ†แžŽแžพแž“แž“แŸƒแž€แžถแžšแž”แžพแž€แž แžถแž„ แžŸแŸ’แž˜แžพ แŸจ% แž€แŸ’แž“แžปแž„แž˜แžฝแž™แž†แŸ’แž“แžถแŸ†แŸ— แŸ” แžแžพแž˜แžถแž“แž แžถแž„แž”แŸ‰แžปแž“แŸ’แž˜แžถแž“แžŠแŸ‚แž›แž”แž˜แŸ’แžšแžพแžŸแŸแžœแžถแž€แž˜แŸ’แž˜แž€แŸ’แž“แžปแž„ แž†แŸ’แž“แžถแŸ† แŸขแŸ แŸ แŸง แŸ” แžŠแžผแž…แž“แŸแŸ‡ แž‚แžทแžแž–แžธแž”แž‰แŸ’แž แžถแžŠแžผแž…แž˜แžปแž“ แž€แŸ’แž“แžปแž„แž†แŸ’แž“แžถแŸ† แž”แž“แŸ’แž‘แžถแž”แŸ‹แž–แžธแž†แŸ’แž“แžถแŸ† แŸกแŸฉแŸฉแŸฉ แž“แžทแž„ แž‚แžทแžแžขแŸ†แž–แžธแž…แŸ†แž“แžฝแž“แžŸแžถแžแžถแž“แŸƒแž แžถแž„ แžŠแŸ‚แž›แž”แžถแž“แž”แžพแž€แž”แž˜แŸ’แžšแžพแž€แžถแžš แŸ” แžŠแžผแž…แž“แŸแŸ‡ แž…แžถแžแŸ‹แž‘แžปแž€แž†แŸ’แž“แžถแŸ† แŸกแŸฉแŸฉแŸฉ แž‡แžถแž†แŸ’แž“แžถแŸ†แž‘แžธ แžŸแžผแž“แŸ’แž™ แžŠแŸ‚แž›แž˜แžถแž“แž แžถแž„ แŸขแŸ แŸ  แž”แžถแž“แž”แžพแž€แž”แž˜แŸ’แžšแžพแž€แžถแžš แž€แŸ’แž“แžปแž„แž†แŸ’แž“แžถแŸ† แŸขแŸ แŸ แŸ  แž˜แžฝแž™แž†แŸ’แž“แžถแŸ†แž”แž“แŸ’แž‘แžถแž”แŸ‹แž–แžธแž†แŸ’แž“แžถแŸ† แŸกแŸฉแŸฉแŸฉ แžแžพแž˜แžถแž“แž แžถแž„แž”แŸ‰แžปแž“แŸ’แž˜แžถแž“ แž”แžถแž“แž”แžพแž€แž”แž˜แŸ’แžšแžพแž€แžถแžš แž”แžพแžขแžแŸ’แžšแžถแž€แŸ†แžŽแžพแž“แž“แŸƒแž€แžถแžšแž”แžพแž€แž แžถแž„แžŸแŸ’แž˜แžพ แŸจ% แž€แŸ’แž“แžปแž„แž˜แžฝแž™แž†แŸ’แž“แžถแŸ† แŸ” แž“แŸ„แŸ‡แž˜แžถแž“แž“แŸแž™แžแžถ แž…แŸ†แž“แžฝแž“แž แžถแž„แžŠแŸ‚แž›แž”แžพแž€แž”แž˜แŸ’แžšแžพแž€แžถแžšแž–แžธแž˜แžปแž“ แž”แžผแž€แž…แŸ†แž“แžฝแž“แž แžถแž„ แžŠแŸ‚แž›แž”แžพแž€แž”แž˜แŸ’แžšแžพแž€แžถแžšแž€แŸ’แž“แžปแž„ แž†แŸ’แž“แžถแŸ† แŸขแŸ แŸ แŸ  แž€แŸ’แžšแŸ„แž˜แžขแžแŸ’แžšแžถแž€แŸ†แžŽแžพแž“ แŸจ% แž€แŸ’แž“แžปแž„แž˜แžฝแž™แž†แŸ’แž“แžถแŸ† แŸ” แžŸแŸ’แž˜แžพแž“แžนแž„ แŸก.แŸ แŸจxแŸขแŸ แŸ  แžŠแŸ„แž™แž€แžถแžšแž’แŸ’แžœแžพแž”แŸ’แžšแž˜แžถแžŽแžœแžทแž’แžธแž“แŸแŸ‡แž™แžพแž„แž”แžถแž“ แŸก.แŸ แŸจ แžŠแŸ‚แž›แž‡แžถแžขแžแŸ’แžšแžถแž€แŸ†แžŽแžพแž“ 8% แž€แŸ’แž“แžปแž„แž˜แžฝแž™แž†แŸ’แž“แžถแŸ† แŸ” แž™แžพแž„แž“แžนแž„แž’แŸ’แžœแžพแž€แžถแžšแž”แž‰แŸ’แž‡แžถแž€แŸ‹ แŸขแŸ แŸ  + แŸ .แŸ แŸจ x แŸขแŸ แŸ  แžŠแŸ„แž™ t = 1 แž“แŸ„แŸ‡ แŸขแŸ แŸ  + แŸ .แŸ แŸจxแŸขแŸ แŸ  แž“แžถแŸ†แžขแŸ„แž™ แŸก.แŸ แŸจxแŸขแŸ แŸ  แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž…แžปแŸ‡แž†แŸ’แž“แžถแŸ† แŸขแŸ แŸ แŸก แžแžพแž™แŸ‰แžถแž„แžŠแžผแž…แž˜แŸ’แžแŸแž…แžŠแŸ‚แžš ? แž–แŸแž›แž“แŸแŸ‡ t = 2 แž†แŸ’แž“แžถแŸ†แž”แž“แŸ’แž‘แžถแž”แŸ‹แž–แžธแž†แŸ’แž“แžถแŸ† แŸกแŸฉแŸฉแŸฉ แžŠแŸ„แž™แž‚แžทแžแž€แŸ’แž“แžปแž„แžขแžแŸ’แžšแŸ„ 8% แžŠแŸแžŠแŸ‚แž› แž™แžพแž„แž”แžถแž“ แŸก.แŸ แŸจ x แŸขแŸ แŸ xแŸก.แŸ แŸจ
You're going to multiply 1.08 times that number, times 1.08 times 200. I think you get the general gist. If, after n years after 1999, it's going to be 1.08-- let me write it this way.
แž™แžพแž„แž“แžนแž„แž”แžถแž“แž‘แž˜แŸ’แžšแž„แŸ‹แž‘แžผแž‘แŸ… แž€แŸ’แž“แžปแž„แžšแž™แŸˆแž–แŸแž› t แž†แŸ’แž“แžถแŸ† แŸ” แž†แŸ’แž“แžถแŸ† แŸกแŸฉแŸฉแŸฉ , t = 0 , y = 200 แž†แŸ’แž“แžถแŸ† แŸขแŸ แŸ แŸ , t = 1 , y = 200(1.08) แž†แŸ’แž“แžถแŸ† 2001 , t = 0 , y = 200 (1.08)(1.08) แžšแž™แŸˆแž–แŸแž› แŸขแž†แŸ’แž“แžถแŸ† แž“แŸ„แŸ‡ (1.08) แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸข แžšแž™แŸˆแž–แŸแž› แŸขแž†แŸ’แž“แžถแŸ† แž“แŸ„แŸ‡ (1.08) แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸก แžšแž™แŸˆแž–แŸแž› แŸขแž†แŸ’แž“แžถแŸ† แž“แŸ„แŸ‡ (1.08) แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸ  แžŠแžผแž…แž“แŸแŸ‡แžŸแŸ†แžŽแžฝแžšแžŸแžฝแžšแžแžถ แžแžพแž˜แžถแž“แž แžถแž„แž”แŸ‰แžปแž“แŸ’แž˜แžถแž“แžŠแŸ‚แž›แž”แž˜แŸ’แžšแžพแžŸแŸแžœแžถแž€แž˜แŸ’แž˜แž€แŸ’แž“แžปแž„ แž†แŸ’แž“แžถแŸ† แŸขแŸ แŸ แŸก แž–แžธแž†แŸ’แž“แžถแŸ† แŸกแŸฉแŸฉแŸฉ แžŠแž›แŸ‹ แŸขแŸ แŸ แŸง แž˜แžถแž“แžšแž™แŸˆแž–แŸแž› แŸจ แž†แŸ’แž“แžถแŸ† แžŠแžผแž…แž“แŸแŸ‡ t = 8 แž™แžพแž„แž‡แŸ†แž“แžฝแžŸ t = 8 แž…แž˜แŸ’แž›แžพแž™แž“แŸƒ แž…แŸ†แž“แžฝแž“ แŸขแŸ แŸ x(1.08) แžŸแŸ’แžœแŸแž™แž‚แžปแžŽ แŸจ
The answer to our question will be 200 times 1.08 to the eighth power.
แžŠแŸ„แž™แž”แŸ’แžšแžพแž˜แŸ‰แžถแžŸแŸŠแžธแž“แž‚แžทแžแž›แŸแžแž‚แŸแž”แžถแž“
So we want to figure out 200 times 1.08 to the eighth power.
แž™แžพแž„แž”แž„แŸ’แž แžถแž‰แž–แžธแž•แž›แž‚แžปแžŽแž“แŸƒ แŸขแŸ แŸ  xแŸก.แŸ แŸจ แžŠแžผแž…แž“แŸแŸ‡แž…แž˜แŸ’แž›แžพแž™แž‚แžบ แŸฃแŸงแŸ 
She's going to be operating 370 restaurants, and she'll be in the process of opening a few more. So if we round it down, she's going to be operating 370 restaurants. So 8% growth might not look like something that's so fast or that exciting.
แž”แžพแž™แžพแž„แž”แž“แŸ’แžแž™แž›แŸ’แžขแŸ€แž„ แž“แŸ„แŸ‡แž™แžพแž„แž”แžถแž“ แž…แŸ†แž“แžฝแž“แž แžถแž„แž‚แžบ แŸฃแŸงแŸ  แžŸแžถแžแžถ แžŠแžผแž…แž“แŸแŸ‡ แž€แŸ’แž“แžปแž„แžขแžแŸ’แžšแžถแž€แŸ†แžŽแžพแž“ แŸจ% แž—แžถแž‚แžšแž™แž˜แžทแž“แž˜แŸ‚แž“แž‡แžถแž”แž‰แŸ’แž แžถแžŠแŸ‚แž› แž‚แžฝแžšแžขแŸ„แž™แž€แžแŸ‹แžŸแž˜แŸ’แž‚แžถแž›แŸ‹แž“แŸ„แŸ‡แž‘แŸ แŸ” แžแŸ‚แž˜แžทแž“แžŠแž›แŸ‹แž˜แžฝแž™แž‘แžŸแŸ’แžŸแžœแžแŸ’แžŸแž•แž„ แž‚แžบแžแŸ’แžšแžนแž˜แžแŸ‚แžšแž™แŸˆแž–แŸแž› แŸจแž†แŸ’แž“แžถแŸ† แž”แŸ‰แžปแžŽแŸ’แžŽแŸ„แŸ‡ แž แžถแž„แžแŸ’แžšแžผแžœแž”แžถแž“แž”แžพแž€แž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž€แžถแžš แž–แžธ แŸขแŸ แŸ  แž‘แŸ… แŸฃแŸงแŸ  แž…แžปแŸ‡แž”แžพ แžšแž™แŸˆแž–แŸแž›แž›แžพแžŸแž–แžธแŸจ แž†แŸ’แž“แžถแŸ† แž€แŸ’แžšแŸ„แž˜แžขแžแŸ’แžšแžถแž€แŸ†แžŽแžพแž“ แŸจ % แž“แŸ„แŸ‡แž€แžถแžšแž”แžพแž€แž แžถแž„แž”แž˜แŸ’แžšแžพแž€แžถแžšแž“แžนแž„แž˜แžถแž“แž€แžถแžšแžšแžธแž€แž…แž˜แŸ’แžšแžพแž“แžŠแŸแžขแžŸแŸ’แž…แžถแžšแŸ’แž™ แŸ”
One thing you'll hear or see referred to a lot is something called a flowchart either in computer science, so really when people talk about any type of algorithm or process. So what I thought I would do is for every program I writeโ€” is I'll do a simple flowchart. Maybe I won't do it for every one, but I'll start with some of the basic ones.
แžšแžฟแž„แž˜แžฝแž™แžŠแŸ‚แž›แžขแŸ’แž“แž€แž“แžนแž„แž›แžบ แžฌ แžƒแžพแž‰แž‚แŸแžŸแŸ†แžŠแŸ…แž‘แŸ…แž…แŸ’แžšแžพแž“แž“แŸ„แŸ‡ แž‚แžบแž‡แžถแžขแŸ’แžœแžธแž˜แŸ’แž™แžถแŸ‰แž„แžŠแŸ‚แž›แž แŸ…แžแžถ flowchart แž‘แžถแŸ†แž„แž€แŸ’แž“แžปแž„แžœแžทแž‘แŸ’แž™แžถแžŸแžถแžŸแŸ’แžแŸ’แžšแž€แŸ†แžปแž–แŸ’แž™แžผแž‘แŸแžš แžŠแžผแž…แŸ’แž“แŸแŸ‡แž“แŸ…แž–แŸแž›แž‚แŸแž“แžทแž™แžถแž™แžขแŸ†แž–แžธ แž”แŸ’แžšแž—แŸแž‘แžŽแžถแž˜แžฝแž™แž“แŸƒ แžœแžทแž’แžธแžŠแŸ„แŸ‡แž”แž‰แŸ’แž แžถ แžฌโฃแžŠแŸ†แžŽแžพแžšแž€แžถแžš แŸ” แžขแž‰แŸ’แž…แžนแž„แžขแŸ’แžœแžธแžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แž‚แžทแžแžแžถแž“แžนแž„แž’แŸ’แžœแžพแž“แŸ„แŸ‡แž‚แžบ แžŸแŸ†แžšแžถแž”แŸ‹แžšแžถแž›แŸ‹แž€แž˜แŸ’แž˜แžœแžทแž’แžธแžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แžŸแžšแžŸแŸแžš แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž’แŸ’แžœแžพ flowchart แžŸแžถแž˜แž‰แŸ’แž‰แž˜แžฝแž™แŸ” แž”แŸ’แžšแž แŸ‚แž›แžแŸ’แž‰แžปแŸ†แž˜แžทแž“แž’แŸ’แžœแžพแžšแžถแž›แŸ‹แž‚แŸ’แžšแž”แŸ‹แž€แž˜แŸ’แž˜แžœแžทแž’แžธแž‘แžถแŸ†แž„แžขแžŸแŸ‹แž“แŸ„แŸ‡แž‘แŸ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜แž‡แžถแž˜แžฝแž™แž“แžทแž„ แž˜แžผแž›แžŠแŸ’แž‹แžถแž“แžแŸ’แž›แŸ‡แŸ—แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžŸแžผแž˜แž™แž›แŸ‹แžแžถ flowchart แž˜แžทแž“แž˜แŸ‚แž“แž‡แžถแžขแŸ’แžœแžธแžŠแŸ‚แž› แžŸแŸ’แžขแžถแžแž“แŸ„แŸ‡แž‘แŸแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž“แŸ…แž€แŸ’แž“แžปแž„แž€แž˜แŸ’แž˜แžœแžทแž’แžธ factorial แž“แŸแŸ‡ แžŠแŸ‚แž›แž™แžพแž„แž”แžถแž“แž“แžนแž„แž–แžทแž“แžทแžแŸ’แž™แž˜แžพแž› แž€แžถแž›แž–แžธแžœแžธแžŠแŸแžขแžผ แž”แžธ แž”แžฝแž“ แž˜แžปแž“ flowchart แž‘แžถแŸ†แž„แžกแžถแž™แžŽแžถ แžŠแŸ‚แž›แžขแŸ’แž“แž€แž“แžนแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜ แžŠแŸ‚แž›แž”แžถแž“แž…แžถแž”แž•แŸ’แžแžพแž˜แž แžพแž™ แž”แž„แŸ’แž แžถแž‰แž‡แžถแž›แž€แŸ’แžแžŽ:แžšแžšแž„แŸ’แžœแž„แŸ‹ แžฌโฃแž€แŸแž”แŸ’แžšแž—แŸแž‘ แžšแžถแž„แž–แž„แž€แŸ’แžšแž–แžพแŸ” แžขแž‰แŸ’แž…แžนแž„แž™แžพแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜ แžขแŸ’แž“แž€แžขแžถแž…แž˜แžพแž›แžœแžถ แž™แžพแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜แžแŸ’แžšแž„แŸ‹แž”แž“แŸ’แž‘แžถแžแŸ‹แž“แŸแŸ‡ แž“แŸ…แžแžถแž„แž›แžพแž“แŸƒแž€แžถแžšแžŠแžถแž€แŸ‹แž›แŸแž แžŠแŸ‚แž›แž™แžพแž„แž’แŸ’แžœแžพแž€แžถแžšแžŸแžฝแžš แžขแŸ„แž™แžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แž”แž‰แŸ’แž…แžผแž›แžแŸ†แž›แŸƒแŸ” แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž™แžพแž„แžŸแžฝแžšแžšแž€แž€แžถแžšแž”แž‰แŸ’แž…แžผแž› แž–แžธแžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แŸ” แž”แž“แŸ’แž‘แžถแžแŸ‹แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แŸ” แž™แžพแž„แžŸแžฝแžšแžšแž€แž€แžถแžšแž”แž‰แŸ’แž…แžผแž› แž–แžธแžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž“แŸแŸ‡แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แŸ” แž แžพแž™แž™แžพแž„แž“แžนแž„ แž”แž„แŸ’แž แžถแž‰แžŠแŸ„แž™ แž…แžแžปแž€แŸ„แžŽแž–แŸ’แž“แžถแž™แžŸแŸ’แžšแž”แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡ แž“แŸแŸ‡แž‡แžถแž€แžถแžšแž”แž‰แŸ’แž…แžผแž› แž–แžธแžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹ แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž™แžพแž„แžขแžถแž…แž“แžทแž™แžถแž™แžแžถ
"number equals user input". And you can be a little bit loosey-goosey with the terminology here, you're really just trying to say what you're doing in this step. The parallelogram tells us that we are somehow interfacing with the user.
"แž›แŸแž แžŸแŸ’แž˜แžพแž“แžนแž„ แž€แžถแžšแž”แž–แŸ’แž‡แžผแž›แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹" แžขแŸ’แž“แž€แžขแžถแž…แž“แžทแž„แž…แŸ’แžšแžกแŸ†แž”แž“แŸ’แžแžทแž… แž‡แžถแž˜แžฝแž™แž“แžทแž„แž–แžถแž€แŸ’แž™แž‚แž“แŸ’แž›แžนแŸ‡แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡ แžขแŸ’แž“แž€แž”แŸ’แžšแž แŸ‚แž›แž‡แžถแž–แŸ’แž™แžถแž™แžถแž˜แž“แžทแž™แžถแž™แžแžถ แžขแŸ’แž“แž€แžฏแž„แž–แŸ’แž™แžถแž™แžถแž˜แž’แŸ’แžœแžพแžขแžธ แž“แŸ…แž‡แŸ†แž แžถแž“แž“แŸแŸ‡แŸ” แž…แžแžปแž€แŸ„แžŽแž–แŸ’แž“แžถแž™แž”แŸ’แžšแžถแž”แŸ‹แž™แžพแž„แžแžถ แž™แŸ‰แžถแž„แžŽแžถแž˜แŸแŸ‰แž‰ แž™แžพแž„แž€แŸ†แž–แžปแž„แž’แŸ’แžœแžพแž‘แŸ†แž“แžถแž€แŸ‹แž‘แŸ†แž“แž„ แž‡แžถแž˜แžฝแž™แžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แŸ” แž™แžพแž„แžแŸ‚แž˜แž‘แžถแŸ†แžขแž™แž€แžขแŸ’แžœแžธแž˜แŸ’แž™แžถแŸ‰แž„แž–แžธแžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹ แžฌ แž™แžพแž„แž”แž‰แŸ’แž…แŸแž‰แžขแŸ’แžœแžธแž˜แŸ’แž™แžถแŸ‰แž„ แž‘แŸ…แžขแŸ„แž™แžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แžœแžทแž‰แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡ แž™แžพแž„แž“แžทแž™แžถแž™แžแžถ แž€แžถแžšแž”แž‰แŸ’แž…แžผแž› แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹ แž‡แžถแž›แŸแžแŸ” แž™แžพแž„แžขแŸ„แž™แž›แŸแž แž‚แžบแž‡แžถแžขแŸ’แžœแžธแžŠแŸ‚แž›แžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แž”แž‰แŸ’แž…แžผแž›แŸ” แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แžšแžฟแž„แž”แž“แŸ’แž‘แžถแž”แŸ‹ แž™แžพแž„แž’แŸ’แžœแžพ แž‚แžบแž‡แžถแž€แžถแžšแž„แžถแžšแžแŸ’แžšแž„แŸ‹แžแŸ‚แž˜แŸ’แžแž„แŸ” แž™แžพแž„แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แžŠแžถแž€แŸ‹ product แžขแŸ„แž™แžŸแŸ’แž˜แžพแž“แžทแž„ แŸก แžŠแžผแž…แŸ’แž“แŸแŸ‡ แž™แžพแž„แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แžŠแžถแž€แŸ‹แŸ” แž แžพแž™แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡ แž™แžพแž„แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž’แŸ’แžœแžพแžœแžถแž“แŸ…แž€แŸ’แž“แžปแž„แž…แžแžปแž€แŸ„แžŽแž€แŸ‚แž„แŸ”
"product equals 1", product is equal to 1. And then, something interesting is going to happen. We enter into our for loop.
"product แžŸแŸ’แž˜แžพ แŸก " product แžŸแŸ’แž˜แžพ แŸก แŸ” แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แžšแžฟแž„แžŠแŸ‚แž›แž‚แžฝแžšแžขแŸ„แž™แž…แžถแž”แŸ‹แžขแžถแžšแž˜แŸ’แž˜แžŽแŸ แž“แžนแž„แž€แžพแžแžกแžพแž„แŸ” แž™แžพแž„แž…แžผแž›แž‘แŸ…แž€แŸ’แž“แžปแž„ for loop แžšแž”แžŸแŸ‹แž™แžพแž„แŸ” แž แžพแž™แž™แžพแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜แž‡แžถแž˜แžฝแž™ -- แž แžพแž™แžขแŸ’แžœแžธแžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž’แŸ’แžœแžพแžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แž‚แžบ แžแŸ’แž‰แžปแŸ†แž“แžนแž„แžŸแžšแžŸแŸแžš แžขแŸ„แž™แžแžปแžŸแž‚แŸ’แž“แžถแž”แž“แŸ’แžแžทแž… แž–แžธแžขแŸ’แžœแžธแžŠแŸ‚แž›แž™แžพแž„แžŸแžšแžŸแŸแžšแžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡ แžŠแžผแž…แŸ’แž“แŸแŸ‡แž™แžพแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜แž’แŸ’แžœแžพ แžขแŸ’แžœแžธแžŠแŸ‚แž›แž™แžพแž„แž“แžนแž„แž’แŸ’แžœแžพแž‚แžบ แž™แžพแž„แž“แžนแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜ for loop แžšแž”แžŸแŸ‹แž™แžพแž„ แžŸแŸ†แžแžถแž“แŸ‹แž“แŸ„แŸ‡แž‡แžถแž˜แžฝแž™แž“แžทแž„ แž€แžถแžšแžขแŸ„แž™แžแŸ†แž›แŸƒ แžŠแŸ‚แž›แž™แžพแž„แžขแŸ„แž™ for loop แž‚แžบแž‡แžถแž”แž“แŸ’แžแžปแŸ†แž“แŸƒแžขแŸ’แžœแžธแŸ— แžŠแŸ‚แž›แž€แžพแžแž˜แžถแž“แžกแžพแž„แž“แŸ…แž€แŸ’แž“แžปแž„แž–แŸแž›แžแŸ‚แž˜แžฝแž™แŸ” แžœแžถแžขแŸ„แž™ i แž‡แžถแž›แŸแžแžŠแŸ†แž”แžผแž„แž“แŸ…แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„ แžฌ แžœแžถแžŸแžถแž€แž›แŸ’แž”แž„ แžแžถแžแžพ แžœแžถแžขแžถแž…แžขแŸ„แž™ i แž‘แŸ…แž›แŸแžแžŠแŸ†แž”แžผแž„แž“แŸ…แž€แŸ’แž“แžปแž„ แž‡แžฝแžšแžšแŸ€แž„แŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแžœแžถแžขแžถแž… แž“แŸ„แŸ‡แžœแžถแž“แžนแž„แž…แžถแž”แŸ‹แž•แŸ’แžแžพแž˜แŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแž˜แžทแž“แžขแžถแž… แž“แŸ„แŸ‡แžœแžถแž”แž‰แŸ’แžˆแž”แŸ‹แž…แŸแž‰แž–แžธ for loop แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžแŸ’แž‰แžปแŸ†แžŸแžผแž˜แžŠแžถแž€แŸ‹แž‡แžถแžšแž”แŸ€แž”แž“แŸแŸ‡แžœแžทแž‰แŸ” แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž’แŸ’แžœแžพแž€แžšแžŽแžธแžŸแžถแž€แž›แŸ’แž”แž„แž˜แžฝแž™ แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡ "แžšแž”แžŸแŸ‹แž“แŸ…แžŸแž›แŸ‹แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„" แž แžพแž™แž“แŸ…แž–แŸแž›แžแŸ’แž‰แžปแŸ†แžŸแŸ†แžŠแŸ…แž‘แŸ… แž‡แžฝแžšแžšแŸ€แž„ แžแŸ’แž‰แžปแŸ†แž“แžทแž™แžถแž™แžขแŸ†แž–แžธ แž‡แžฝแžšแžšแŸ€แž„แž“แŸแŸ‡ แž…แž“แŸ’แž›แŸ„แŸ‡แž“แŸƒแž›แŸแžแžšแž”แžŸแŸ‹แž™แžพแž„แŸ” แž“แŸ…แž€แŸ’แž“แžปแž„แžงแž‘แžถแž แžšแžŽแŸแžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แž”แžถแž“แž›แžพแž€แžกแžพแž„แž“แŸ…แž€แŸ’แž“แžปแž„แžœแžทแžŠแŸแžขแžผแž˜แžปแž“ แž‚แžบแž›แŸแž แŸฃ แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžšแž”แžŸแŸ‹ แž“แŸ…แžแžถแž„แž†แŸ’แžœแŸแž„แž“แŸƒแž‡แžฝแžšแžšแŸ€แž„แŸ” แžแŸ’แž‰แžปแŸ†แžŠแžนแž„แžแžถแžœแžถแž–แžทแž”แžถแž€แž“แžนแž„แžขแžถแž“ แžแŸ’แžšแž„แŸ‹แž€แž“แŸ’แž›แŸ‚แž„แž“แŸแŸ‡แŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพ -- แžงแž”แž˜แžถแžแžถ แž˜แžถแž“แžšแž”แžŸแŸ‹แž“แŸ…แžŸแž›แŸ‹แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„แŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแž˜แžถแž“แžšแž”แžŸแŸ‹ แž“แŸ…แžŸแž›แŸ‹แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แžแŸ” แž™แžพแž„แž“แžนแž„แž“แžทแž™แžถแž™แžแžถ
"i is equal to next item" i is equal to next... i is euqal to the next item. If there areโ€” well, i'll just hold off for the case where there are no items left in the sequenceโ€” but let's say that there are. "i is equal to the next item"
" i แžŸแŸ’แž˜แžพแž“แžทแž„ แžšแž”แžŸแŸ‹แž”แž“แŸ’แž‘แžถแž”แŸ‹แžœแžถ " i แžŸแŸ’แž˜แžพแž“แžทแž„ แž”แž“แŸ’แž‘แžถแž”แŸ‹ ... i แžŸแŸ’แž˜แžพแž“แžทแž„ แžšแž”แžŸแŸ‹แž”แž“แŸ’แž‘แžถแž”แŸ‹แžœแžถแŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแž˜แžถแž“ แžแŸ’แž‰แžปแŸ†แžŸแžผแž˜แž‘แžปแž€แž€แžšแžŽแžธแž“แŸแŸ‡ แž˜แžฝแž™แžขแž“แŸ’แž›แžพแžŸแžทแž“ แžŠแŸ‚แž›แž˜แžทแž“แž˜แžถแž“แžšแž”แžŸแŸ‹แž“แŸ…แžŸแž›แŸ‹ แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžงแž”แž˜แžถแžแžถ แž˜แžถแž“แž“แŸ…แžŸแž›แŸ‹แŸ”
And then we also defineโ€” we define product to be we define product actually I want to do these in blue just our regular... Se let me write this is "YES". If there are items in the sequence, then "i is equal to the next item" that's one operation we do.
" i แžŸแŸ’แž˜แžพแž“แžทแž„แžšแž”แžŸแŸ‹แž“แŸ…แž”แž“แŸ’แž‘แžถแž”แŸ‹แžœแžถ" แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€แž™แžพแž„แž€แŸ†แž“แžแŸ‹แž•แžแžŠแŸ‚แžš -- แž™แžพแž„แž€แŸ†แž“แžแŸ‹ product แž‡แžถ แž™แžพแž„แž€แŸ†แž“แžแŸ‹ product แžแŸ’แž‰แžปแŸ†แž…แž„แŸ‹แž’แŸ’แžœแžพแžœแžถแž‡แžถแž–แžŽแŸŒแžแŸ€แžœ แžŠแžผแž…แž’แž˜แŸ’แž˜แžแžถ แžขแž‰แŸ’แž…แžนแž„แžแŸ’แž‰แžปแŸ†แžŸแžšแžŸแŸแžšแžœแžถ แžแžถ "YES" แž”แŸ’แžšแžŸแžทแž“แž”แžพแž“แŸ…แž˜แžถแž“แžšแž”แžŸแŸ‹ แž“แŸ…แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„ แž“แŸ„แŸ‡ " i แžŸแŸ’แž˜แžพแž“แžทแž„ แžšแž”แžŸแŸ‹แž“แŸ…แž”แž“แŸ’แž‘แžถแž”แŸ‹แžœแžถ" แž“แŸแŸ‡แž‡แžถ แž€แžถแžšแž„แžถแžšแž˜แžฝแž™แžŠแŸ‚แž›แž™แžพแž„แž’แŸ’แžœแžพแŸ” แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€แž™แžพแž„ แžŠแžถแž€แŸ‹แžแŸ†แž›แŸƒ product แžŸแžถแžšแžŠแžพแž˜แžœแžทแž‰ แž™แžพแž„แžขแŸ„แž™ product แžŸแŸ’แž˜แžพแž‘แŸ…แž“แžทแž„ แžขแŸ’แžœแžธแžŠแŸ‚แž›แž‡แžถแžแŸ†แž›แŸƒแžŠแžพแž˜ แž“แŸƒ product แž“แŸ„แŸ‡แž‚แžบ แž‚แžปแžŽแž“แžทแž„ i + 1 แž แžพแž™แž“แŸ…แžแŸ’แžšแž„แŸ‹แž…แŸ†แž“แžปแž…แž“แŸแŸ‡ แž™แžพแž„แž…แžถแŸ†แž”แžถแž…แŸ‹ แž™แžพแž„ loop แžแŸ’แžšแž›แž”แŸ‹แž‘แŸ…แž€แžถแžšแžŸแžถแž€แž›แŸ’แž”แž„แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แŸ” แžแŸ’แžšแž„แŸ‹แž…แŸ†แž“แžปแž…แž“แŸแŸ‡ แž™แžพแž„ แžแŸ’แžšแž›แž”แŸ‹แž€แŸ’แžšแŸ„แž™แžœแžทแž‰ แžแŸ’แž‰แžปแŸ†แž“แžนแž„แž–แŸ’แž™แžถแž™แžถแž˜แžŸแžšแžŸแŸแžšแžœแžถแžขแŸ„แž™แž˜แžถแž“แžšแž”แŸ€แž” แž™แžพแž„แžแŸ’แžšแž›แž”แŸ‹แž€แŸ’แžšแŸ„แž™แžœแžทแž‰แž‘แŸ…แž€แžถแž“แŸ‹ แžแŸ’แž‰แžปแŸ†แžŸแžผแž˜แž’แŸ’แžœแžพแžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡ แž™แžพแž„แžแŸ’แžšแž›แž”แŸ‹แž€แŸ’แžšแŸ„แž™แžœแžทแž‰ แž‘แŸ… แžŠแžผแž…แŸ’แž“แŸแŸ‡แž แžพแž™แž‘แžพแž”แž‚แŸแž แŸ…แžœแžถแžแžถ loop. แž–แŸ’แžšแŸ„แŸ‡แž”แž“แŸ’แž‘แžถแž”แŸ‹แž–แžธแžขแŸ’แž“แž€แž’แŸ’แžœแžพแž€แžถแžšแž„แžถแžšแž“แŸแŸ‡แž แžพแž™ แžœแžถแž”แž„แŸ’แž€แž”แŸ‹แž…แžผแž›แž‘แŸ…แž€แŸ’แž“แžปแž„ loop -- แžขแŸ’แž“แž€แžแŸ’แžšแž›แž”แŸ‹แž‘แŸ…แž€แž“แŸ’แž›แŸ‚แž„แžŠแžพแž˜แžœแžทแž‰ แž‘แŸ…แž˜แžพแž›แžแžถแžแžพ แž˜แžถแž“ loop แž“แŸ…แžŸแž›แŸ‹แžŸแŸ†แžšแžถแž”แŸ‹แž’แŸ’แžœแžพแž€แžถแžšแž‘แŸแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžขแŸ’แž“แž€แžแŸ’แžšแž›แž”แŸ‹แž‘แŸ… แž…แŸ†แž“แžปแž…แžŠแžพแž˜แž˜แžปแž“ loop แžœแžทแž‰ แž แžพแž™แžขแŸ’แž“แž€แž“แžทแž™แžถแž™แžแžถ " แž แŸ แž˜แžถแž“แžšแž”แžŸแŸ‹แžขแŸ’แžœแžธแžŸแž›แŸ‹แž“แŸ…แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„แž‘แŸ ? " แž แžพแž™แž“แŸแŸ‡แžขแžถแž…แž‡แžถแžŸแŸ†แž“แžฝแžšแž€แžแŸ‹แž…แŸ†แžŽแžถแŸ†แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แŸ” แžŸแŸ†แž“แžฝแžšแž”แŸ’แžšแž—แŸแž‘แž“แŸแŸ‡ แž€แžแŸ‹แž…แŸ†แžŽแžถแŸ†แž…แŸ†แž“แžปแž…แžŸแŸ†แžšแŸแž…แž…แžทแžแŸ’แž แžŠแŸ‚แž›แž‡แžถแž‘แžผแž‘แŸ…แžแžถแž„แžŠแŸ„แž™ แžŸแž‰แŸ’แž‰แž˜แžปแžแž–แŸแž‡แŸ’แžšแŸ” แž”แŸ’แžšแžŸแžทแž“แž”แžพแž˜แžถแž“แžšแž”แžŸแŸ‹แž•แŸ’แžŸแŸแž„แž‘แŸ€แžแž“แŸ…แžŸแž›แŸ‹แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž“แŸ„แŸ‡ i แžŸแŸ’แž˜แžพแž“แžทแž„ แžšแž”แžŸแŸ‹แž”แž“แŸ’แž‘แžถแž”แŸ‹ แž แžพแž™ product แžŸแŸ’แž˜แžพแž‘แŸ…แž“แžทแž„ แžขแŸ’แžœแžธแžŠแŸ‚แž› product แž–แžธแž˜แžปแž“แž‚แžปแžŽแž“แžนแž„ i + 1 แžŠแžผแž…แŸ’แž“แŸแŸ‡แž™แžพแž„แž‘แŸ…แž”แž“แŸ’แžแž‘แŸ€แž
"Are there items left in the sequence?" And at some point there won't be any items left in the sequence. So there won't beโ€” at some point there won't be any items left in the sequence.
" แžแžพแž“แŸ…แž˜แžถแž“แžšแž”แžŸแŸ‹แžŸแž›แŸ‹แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„แž‘แŸ€แžแž‘แŸ? " แž“แŸ…แž–แŸแž›แžแŸ’แž›แŸ‡ แž˜แžทแž“แžšแž”แžŸแŸ‹แžŸแž›แŸ‹แž“แŸ…แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„แž‘แŸ€แžแž‘แŸแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž“แžนแž„แž˜แžทแž“แž˜แžถแž“ แž“แŸ…แž–แŸแž›แžแŸ’แž›แŸ‡แž“แžนแž„แž˜แžทแž“แž˜แžถแž“ แžšแž”แžŸแŸ‹แžŸแž›แŸ‹แž€แŸ’แž“แžปแž„แž‡แžฝแžšแžšแŸ€แž„แŸ” แž แžพแž™แž™แžพแž„แžขแžถแž…แž‘แŸ…แžแžถแž„แžŸแŸ’แžแžถแŸ† แžฌ แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž…แžถแž€แž…แŸแž‰แž–แžธแžœแžถ แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡แŸ” แž แžพแž™แžฅแž›แžผแžœแž“แŸแŸ‡ แž™แžพแž„แž…แžถแž€แž…แŸแž‰แž–แžธ loop แž“แŸแŸ‡แŸ” แž™แžพแž„แž…แžถแž€แž…แŸแž‰แž–แžธ loopแŸ” แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แžšแžฟแž„แž”แž“แŸ’แž‘แžถแž”แŸ‹แžŠแŸ‚แž›แž™แžพแž„แž’แŸ’แžœแžพ แž“แŸ…แž–แŸแž›แžŠแŸ‚แž›แž™แžพแž„แž”แž‰แŸ’แž…แž”แŸ‹แž‡แžถแž˜แžฝแž™แž“แžทแž„ for loop แžšแž”แžŸแŸ‹แž™แžพแž„แž แžพแž™ แž™แžพแž„แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž”แŸ„แŸ‡แž–แžปแž˜แŸ’แž– แžแŸ†แž›แŸƒแž“แŸƒ product แŸ” แž แžพแž™แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž”แž‰แŸ’แž…แŸแž‰แžแŸ†แž›แŸƒแž“แŸƒ productแŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡ แž“แŸแŸ‡แž‚แžบแž‡แžถแž‘แŸ†แž“แžถแž€แŸ‹แž‘แŸ†แž“แž„ แž‡แžถแž˜แžฝแž™ แž“แžทแž„แžขแŸ’แž“แž€แž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž™แžพแž„แž‚แŸ’แžšแžถแž“แŸ‹แžแŸ‚แž”แž‰แŸ’แž…แŸแž‰แžแŸ†แž›แŸƒแž“แŸƒ product แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แž™แžพแž„แž”แž‰แŸ’แž…แŸแž‰
"output product" and we are done! And I can write "end" for the end of our program, and the program will stop running. "end".
"แž›แž‘แŸ’แž’แž•แž› แž“แŸƒ product" แž แžพแž™แž™แžพแž„แž”แž‰แŸ’แž…แž”แŸ‹ ! แž แžพแž™แžแŸ’แž‰แžปแŸ†แžขแžถแž…แžŸแžšแžŸแŸแžš " แž…แž”แŸ‹ " แžŸแŸ†แžšแžถแž”แŸ‹แž”แž‰แŸ’แž…แž”แŸ‹ แž€แž˜แŸ’แž˜แžœแžทแž’แžธแž™แžพแž„ แž แžพแž™แž„แž€แž˜แŸ’แž˜แžœแžทแž’แžธแž“แžนแž„แžˆแž”แŸ‹แžšแžแŸ‹แŸ”
So this is just a simple flowchart for this simple program. And hopefully it helps you appreciate that one little understanding of the program itself if the last two videos didn't help too much, and also gives you a simple understanding of how to write a flowchart.
" แž…แž”แŸ‹ " แžขแž‰แŸ’แž…แžนแž„แž“แŸแŸ‡แž‚แŸ’แžšแžถแž“แŸ‹แž‡แžถ flowchart แžŸแžถแž˜แž‰แŸ’แž‰ แžŸแŸ†แžšแžถแž”แŸ‹แž€แž˜แŸ’แž˜แžœแžทแž’แžธแžŸแžถแž˜แž‰แŸ’แž‰แž“แŸแŸ‡แŸ” แž แžพแž™แžŸแž„แŸ’แžƒแžนแž˜แžแžถ แžœแžถแž“แžนแž„แž‡แžฝแž™แžขแŸ’แž“แž€ แžŠแžนแž„แž‚แžปแžŽแžแžœแžถแžแžถ แž€แžถแžšแž™แž›แŸ‹แž”แž“แŸ’แžแžทแž…แž”แž“แŸ’แž‘แžฝแž… แž“แŸƒแž€แž˜แŸ’แž˜แžœแžทแž’แžธแžแŸ’แž›แžฝแž“แžœแžถ แž”แŸ’แžšแžŸแžทแž“แž”แžพแž“แŸ…แžœแžทแžŠแŸแžขแžผ แŸข แž˜แžปแž“ แž˜แžทแž“แž”แžถแž“แž‡แžฝแž™แž…แŸ’แžšแžพแž“แž‘แŸ แž แžพแž™ แž•แŸ’แžแž›แŸ‹แžขแŸ„แž™แžขแŸ’แž“แž€แž•แž„แžŠแŸ‚แžš แž“แžผแžœ แž€แžถแžšแž™แž›แŸ‹แžŠแžนแž„แžŠแŸแžŸแžถแž˜แž‰แŸ’แž‰แž˜แžฝแž™ แž“แŸƒแžšแž”แŸ€แž”แžŸแžšแžŸแŸแžš flowchart แŸ”
We have three different addition problems right over here... and what I want you to do (so you get the hang of things), is to pause the video and try them on your own. But as you do them, I want you to really keep in mind and think about what the carrying actually means. So I assume you've tried on your own, Now I'll work through them with you.
แž™แžพแž„แž˜แžถแž“แž”แŸ’แžšแž˜แžถแžŽแžœแžทแž’แžธแž”แžผแž€แŸฃแž“แŸ…แžแŸ’แžšแž„แŸ‹แž“แŸแŸ‡ แž แžพแž™แžขแŸ’แžœแžธแžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แž…แž„แŸ‹แžขแŸ„แž™แžขแŸ’แž“แž€แž’แŸ’แžœแžพแž‚แžนแžŸแžผแž˜แž”แž‰แŸ’แžˆแž”แŸ‹แžœแžธแžŠแŸแžขแžผแž“แŸแŸ‡แž˜แžฝแž™แž—แŸ’แž›แŸแž แž แžพแž™แž–แŸ’แž™แžถแž™แžถแž˜แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž”แž‰แŸ’แž แžถแž“แŸแŸ‡แžŠแŸ„แžแŸ’แž›แžฝแž“แžฏแž„ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž“แŸ…แž–แŸแž›แžŠแŸ‚แž›แžขแŸ’แž“แž€แž’แŸ’แžœแžพแžœแžถแžแŸ’แž‰แžปแŸ†แž…แž„แŸ‹แžขแŸ„แž™แžขแŸ’แž“แž€แž…แž„แž…แžถแŸ†แžแžถ แžแžพแž€แžถแžšแž™แž€แž˜แžถแž“แž“แŸแž™แž™แŸ‰แžถแž„แž˜แŸ‰แŸแž… แžŠแžผแž…แŸ’แž“แŸแŸ‡แžแŸ’แž‰แžปแŸ†แžŸแž“แŸ’แž˜แžแžแžถแžขแŸ’แž“แž€แž”แžถแž“แž–แŸ’แž™แžถแž™แžถแž˜แž’แŸ’แžœแžพแžœแžถแžŠแŸ„แž™แžแŸ’แž›แžฝแž“แžฏแž„ แžฅแžกแžผแžœแž“แŸแŸ‡แžแŸ’แž‰แžปแŸ†แž“แžนแž„แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž”แž‰แŸ’แž แžถแž“แŸแŸ‡แž‡แžถแž˜แžฝแž™แžขแŸ’แž“แž€ แžขแž…แŸ’แž…แžนแž„แž™แžพแž„แž™แž€แŸฉแž”แžผแž€แŸฆแžŸแŸ’แž˜แžพแžšแŸกแŸฅแž™แžพแž„แžขแžถแž…แžŸแžšแžŸแŸแžšแŸฅ แž แžพแž™แž™แž€แž›แŸแžแŸก แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž™แžพแž„แž’แŸ’แžœแžพแž™แŸ‰แžถแž„แž˜แŸ‰แŸแž…แžขแŸ†แž”แžถแž‰แŸ‹แž˜แžทแž‰ แžแžพแž›แŸแžแž˜แžผแž™แžแŸ†แžŽแžถแž„แžขแŸ’แžœแžธแžŠแŸ‚แžš แž™แžพแž„แžขแžถแž…แžŠแžถแž€แŸ‹แžœแžถแž“แŸ…แž€แŸ’แž“แžปแž„แžแŸ’แž…แž„แŸ‹แžšแž™แž”แžถแž“แž›แŸแžแŸกแŸ แžแŸ†แžŽแžถแž„แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹ แžขแŸ’แžœแžธแžŠแŸ‚แž›แž™แžพแž„แž…แž„แŸ‹แž“แžทแž™แžถแž™แž‚แžบแžแžถแŸฉแž”แžผแž€แŸฆแžŸแŸ’แž˜แžพแžšแŸกแŸ แž”แžผแž€แŸฅ แžฅแžกแžผแžœแž“แŸ…แž€แŸ’แž“แžปแž„แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹แž™แžพแž„แž™แž€แŸกแž”แžผแž€แŸ แž”แžผแž€แŸฉแžŸแŸ’แž˜แžพแžšแž“แžนแž„แŸกแŸ  แžขแž…แŸ’แž…แžนแž„แž™แžพแž„แžขแžถแž…แžŸแžšแžŸแŸแžšแŸ แž แžพแž™แžแŸ’แžšแž‘แžปแž€แž˜แžผแž™ แŸกแž”แžผแž€แŸ แž”แžผแž€แŸฉแžŸแŸ’แž˜แžพแŸกแŸ  แžฅแžกแžผแžœแžแžพแž“แŸแŸ‡แž–แžทแžแžแž”แŸ’แžšแžถแž€แžŠแž‘แŸ…แž˜แžถแž“แž“แŸแž™แž™แŸ‰แžถแž„แžŽแžถแžŠแŸ‚แžš?
Well... this is one 10 plus zero 10s plus nine 10s... which is ten 10s. Ten 10s is 100. Or another way of thinking about 100, it's one hundred, and zero 10s, so that's all that carrying represents.
แŸกแŸ แž˜แžฝแž™แž”แžผแž€แžŸแžผแž“แŸ’แž™แŸกแŸ แž”แžผแž€แŸฉแžŠแž”แŸ‹แžŸแŸ’แž˜แžพแŸกแŸ โ€‹แžŠแž”แŸ‹แž แžพแž™แŸกแŸ แžŠแž”แŸ‹แžŸแŸ’แž˜แžพ แž“แžนแž„แžŠแž”แŸ‹แž‚แžปแž“แž“แžนแž„แžŠแž”แŸ‹ แž•แŸ’แž›แžผแžœแž•แŸ’แžŸแŸแž„แž‘แŸ€แžแž‚แžบแžแžถแŸกแŸ แŸ แž‚แžบแž˜แžฝแž™แžšแž™แž แžพแž™แž“แžนแž„แžŸแžผแž“แŸกแŸ แž“แŸแŸ‡ แž‚แžบแžขแŸ’แžœแžธแžŠแŸ‚แž›แžœแžถแžแŸ†แžŽแžถแž„ แžฅแžกแžผแžœแž™แžพแž„แž™แž€แŸกแž”แžผแž€แŸงแž”แžผแž€แŸฉแžŸแŸ’แž˜แžพแž“แžนแž„แŸกแŸง แžฅแžกแžผแžœแž™แžพแž„แžแŸ’แžšแžผแžœแžšแŸ†แž›แžทแž€แžแŸ’แž›แžฝแž“แžฏแž„แžแžถแŸˆแž“แŸแŸ‡แž‚แžบแž“แŸ…แž€แŸ’แž“แžปแž„แžแŸ’แž‘แž„แŸ‹แžšแž™ แž“แŸแŸ‡แž‚แžบแž˜แžฝแž™แžšแž™แž”แžผแž€แŸงแžšแž™แž”แžผแž€แŸฉแžšแž™แžŸแŸ’แž˜แžพแž“แžนแž„แŸกแŸงแžšแž™ แžšแžบแž€แŸแŸกแž–แžถแž“แŸ‹แŸงแžšแž™แž แžพแž™แž™แžพแž„แž˜แžถแž“แž›แŸแžแŸฅแž“แŸ…แž‘แžธแž“แŸแŸ‡ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€แž‡แžถแžšแžฝแž…แžŸแŸ’แžšแŸแž… แžฅแžกแžผแžœแž™แžพแž„แž“แžนแž„แž–แŸ’แž™แžถแž™แžถแž˜แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž›แŸแžแž˜แžฝแž™แž“แŸแŸ‡แŸ” แžฅแžกแžผแžœแž แŸแžแžปโ€‹ แž•แž›แžŠแŸ‚แž›แžแŸ’แž‰แžปแŸ†แžŸแžšแžŸแŸแžšแžœแžถแž”แŸ‚แž”แž“แŸแŸ‡แž–แžธแž–แŸ’แžšแŸ„แŸ‡แžŠแžพแž˜แŸ’แž”แžธแž’แŸ’แžœแžพแžขแŸ„แž™แž”แžถแž“ แž‡แžถแž€แŸ‹แž…แŸ’แž”แžถแžŸแŸ‹แž™แžพแž„แž“แžนแž„แžŠแžถแž€แŸ‹แž›แŸแžแžขแŸ„แž™แžแŸ’แžšแžผแžœแžแžถแž˜แžแŸ’แž‘แž„แŸ‹แžšแž”โ€‹แžŸแŸ‹แžšแžถ แžขแž…แŸ’แž…แžนแž„แžแŸ’แž‰แžปแŸ†แž“แžนแž„แžŸแžšแžŸแŸแžšแžœแžถแž˜แŸ’แžแž„แž‘แŸ€แžโ€‹(แžŠแŸ„แž™แž”แŸ’แžšแžพแž แŸ’แžœแžบแžแž–แžŽแŸŒแž”แŸƒแžแž„) แŸฃแŸงแŸฃแž”แžผแž€แž™แžพแž„แž…แž„แŸ‹แžŸแžšแžŸแŸแžšแžแŸ’แž‘แž„แŸ‹แž˜แžฝแž™แž“แŸ…แž€แŸ’แžšแŸ„แž˜แžแŸ’แž‘แž„แŸ‹แž˜แžฝแž™แž‘แŸ€แž แž แžพแž™แž™แžพแž„แžŠแžถแž€แŸ‹แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹แž€แŸ’แžšแŸ„แž˜แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹ แžŠแžผแž…แŸ’แž“แŸแŸ‡แž แžพแž™แž™แžพแž„แž“แžนแž„แž”แžผแž€แž›แŸแžแžขแŸ„แž™แž”แžถแž“แžแŸ’แžšแžนแž˜แžแŸ’แžšแžผแžœ แŸฃแž”แžผแž€แŸจแžŸแŸ’แž˜แžพแžšแŸกแŸกแŸ”แžŠแžถแž€แŸ‹แž›แŸแžแŸกแž“แŸ…แžแŸ’แž‘แž„แŸ‹แžšแžถแž™แž แžพแž™แž˜แžฝแž™ แž‘แŸ€แžแž“แŸ…แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹แŸ”โ€‹แŸกแŸ แž”แžผแž€แŸกแž‚แžบแŸกแŸก แŸกแž”แžผแž€แŸงแž‚แžบแŸจแŸ”แŸจแž”แžผแž€แŸจแž‚แžบแŸกแŸฆแŸ” แž“แŸแŸ‡แžแžถแž˜แž–แžทแžแž‘แŸ…แŸกแŸฆแžŠแž”แŸ‹แŸ” แžขแž…แŸ’แž…แžนแž„แž™แžพแž„แžขแžถแž…แžŸแžšแžŸแŸแžšแž›แŸแžแŸกแŸฆ แžแžพแžขแŸ’แžœแžธแž‘แŸ…แž‡แžถแŸกแŸฆแžŠแž”แŸ‹?แžœแžถแžŸแŸ’แž˜แžพแž“แžนแž„แŸกแŸฆแŸ แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€ แž›แŸแžแŸฆแžแŸ†แžŽแžถแž„แžขแŸ„แž™แž แžปแž€แžŸแžทแž”แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€แžแŸ’แž‰แžปแŸ†แž˜แžถแž“แŸกแŸ แŸ  แŸกแž”แžผแž€แŸฃแž‚แžบแŸคแŸ” แž”แŸ‰แž“แŸ’แžแŸ‚แž‘แžถแŸ†แž„แž“แŸแŸ‡แž‚แžบแž“แŸ…แž€แŸ’แž“แžปแž„แžแŸ’แž‘แž„แŸ‹แžšแž™ แžขแž…แŸ’แž…แžนแž„แŸคแžšแž™ แžŠแžผแž…แŸ’แž“แŸแŸ‡แž™แžพแž„แž”แžถแž“แŸคแŸฆแŸก แžฅแžกแžผแžœแž‡แžถแž…แžปแž„แž€แŸ’แžšแŸ„แž™แž™แž€แŸฉแž”แžผแž€แŸฃแž‚แžบแŸกแŸขแŸ”แž›แŸแžแŸขแž“แŸ…แžแŸ’แž‘แž„แŸ‹แžšแžถแž™ แž›แŸแžแŸกแž“แŸ…แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹แŸ”แŸกแŸขแžŠแžผแž…แž‚แŸ’แž“แžถแž“แžนแž„แŸกแŸ แž”แžผแž€แŸข แžฅแžกแžผแžœแž“แŸ…แž€แŸ’แž“แžปแž„แžแŸ’แž‘แž„แŸ‹แžŠแž”แŸ‹แŸกแž”แžผแž€แŸคแžŸแŸ’แž˜แžพแžšแŸกแŸคแŸ”แžŠแžผแž…แŸ’แž“แŸแŸ‡แž™แžพแž„แžขแžถแž…แžŸแžšแžŸแŸแžšแž›แŸแžแŸคโ€‹แž แžพแž™แžแŸ’แžšแžถแž‘แžปแž€แž˜แžฝแž™ แž”แŸ‰แž“แŸ’แžแŸ‚แž™แžพแž„แžแŸ’แžšแžผแžœแžšแŸ†แž›แžนแž€แžแŸ’แž›แžฝแž“แžฏแž„แžแžถแžแžถแž˜แž–แžทแžแž‘แŸ… แŸกแŸ แž”แžผแž€แŸคแŸ แž”แžผแž€แŸฉแŸ แžŸแŸ’แž˜แžพแŸกแŸคแŸ แŸ” แž“แŸแŸ‡แžŠแžผแž…แž‚แŸ’แž“แžถแž“แžนแž„แŸคแŸ แž”แžผแž€แŸกแŸ แŸ  แž แžพแž™แž”แž“แŸ’แž‘แžถแž”แŸ‹แž˜แž€แŸกแž”แžผแž€แŸกแž”แžผแž€แŸขแžŸแŸ’แž˜แžพแžšแŸคแŸ” แž”แŸ‰แžปแž“แŸ’แžแŸ‚แžแž“แŸแŸ‡แž‚แžบ แž“แŸ…แž€แŸ’แž“แžปแž„แžแŸ’แž‘แž„แžšแž™แŸ”แžขแž…แŸ’แž…แžนแž„ แŸกแžšแž™แž”แžผแž€แŸกแžšแž™แž”แžผแž€แŸขแžšแž™แžŸแŸ’แž˜แžพแžšแŸคแŸ แŸ  แžฅแžกแžผแžœแž™แžพแž„แž”แžถแž“แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž›แŸ†แž แžถแžแŸ‹แž‡แžถแž€แžถแžšแžŸแŸ’แžšแŸแž…
Potatoes, beets, cabbages. Salted cabbages were taken by the whole barrel. All edible goods were taken away.
้ฆฌ้ˆด่–ฏ ็”œ่œ ็”˜่—่œ ้†ƒ่œ้ƒฝๆ˜ฏ่ขซไธ€็ญ’ไธ€็ญ’ๆ”ถ่ตฐ็š„ ๅฏไปฅๅƒ็š„้ƒฝ่ขซๆ”ถ่ตฐ ็ณง้ฃŸ่ขซๆฒ’ๆ”ถไน‹ๅพŒ ็ฆๆญข่พฒๆฐ‘ๅˆฐๅˆฅ่™•ๆ‰พ้ฃŸ็‰ฉ ็ฆๆญข่ฒท่ณฃ ๆˆ–ๆ˜ฏ็”จๅ‹žๅŠ›ๆ›ๅ– ไป–ๅ€‘ๅ› ๆญค้€ๆผธๆญปไบก ไนŸ็ฆๆญขไป–ๅ€‘้€ฒๅˆฐๅŸŽๅธ‚่ฃก ้‡ๅฐ้€™ไบ›้ฅ‘ๆฐ‘ ๆœ‰ๆˆ็ซ‹็‰นๆฎŠ่ญฆ่ก›้šŠ ้˜ฒ่‘—ไป–ๅ€‘ๆญ็ซ่ปŠ ๅพˆๅคšไบบๅฐฑๆญปๅœจ็ซ่ปŠ็ซ™ๅ‰้ข ๆญปๅœจ Kiev ๅ’Œ Kharkov ็š„้ต่ทฏๆ— ไป–ๅ€‘ๅฐฑๆœƒ้€ฒไฝ ๅฎถ่ฃกๅ• ใ€Žไฝ ๅ€‘็š„ๆญป่€…ๅœจๅ“ช๏ผŸใ€ ๅชๆœ‰ไธ€ไฝๅ‰ฉๅŠๆขๅ‘ฝ็š„ๅฉฆๅฅณ่บบๅœจๅบŠไธŠ ๅฐฑ่ชชใ€Žๆˆ‘ๅ€‘ๆŠ“ๅฅนๅง ๅๆญฃไนŸๅฟซๆญปไบ†ใ€ ใ€Žไฝ•ๅฟ…ๆ˜Žๅคฉๅ†ไพ†๏ผŸใ€ ไป–ๅ“€ๆฑ‚้“๏ผšใ€Žไธ่ฆๅธถๆˆ‘่ตฐ๏ผใ€ ใ€Žๆˆ‘้‚„ๆดป่‘—๏ผๆˆ‘้‚„ๆƒณ่ฆๆดปไธ‹ๅŽป๏ผใ€ ๅพˆๆๆ€–๏ผ ไป–ๅ€‘้ƒฝ่ขซไธŸๅˆฐไธ€ๅ€‹ๅ‘่ฃก้ข ๅœฐ้ขไธ€็›ด็งปๅ‹• ๅฐๆˆ‘ไพ†่ชช ้€™่ฃกๆ˜ฏ่–ๅœฐ ้€™่ฃกๆ˜ฏ็•ถๆ™‚้ฃข่’ไบบๆฐ‘็š„ๅฎ‰ๆฏ่™• ๅ…ถไธญๆœ‰ๆˆ‘็š„่จฑๅคš่ฆชๆˆšๅ’Œๅฅถๅฅถ ๆˆ‘ๅ€‘่ฆๅ‰ต้€ ใ€Žๆ–ฐไบบ้กžใ€ ไธ€ๅ€‹ๆ–ฐ็š„็‰ฉ็จฎๅณๅฐ‡ๅ‡บ็พ๏ผ ๆˆ‘ๅ€‘ๅŽปๆ‰น้ฌฅไป–ๅ€‘ๅง๏ผ ๆ‰น้ฌฅๅฎŒไน‹ๅพŒๅ†ๆ‰น้ฌฅ้‚ฃไบ›ๅ‰ฉไธ‹ไพ†็š„ไบบ๏ผ ไธ่ฆๅฎณๆ€•๏ผๅšๅฐฑๅฐไบ†๏ผ 1930ๅนด ็™ผๆ˜Žไบ†ๅคง้‡ๆฎบไบบ็š„ๅทฅๆฅญ่กŒ็จ‹ ๆ‰€ไปฅ่กŒๆ”ฟๅ€้ƒฝๆœ‰่จญๅฎšไธ€ๅ€‹ๅ€ๅŸŸ ๅŸ‹ๅฑ้ซ” ๅ›š็Šฏๆœƒ่ขซๅธถๅŽปใ€Ž็ด…่‰ฒ่ง’่ฝใ€ ้€ฒ่กŒๆœ€ๅพŒ็š„่บซไปฝ็ขบ่ช ๅ›š็Šฏๆๅ‡บ่‡ชๅทฑ็š„่บซไปฝ่ญ‰ๆ˜Ž ็„ถๅพŒๅฐฑ่ขซๅธถๅˆฐไธ€ๅ€‹ๆˆฟ้–“ ้€ฒๅˆฐๆˆฟ้–“ ่…ฆๅพŒๅฐฑๆœƒ่ขซ้–‹ไธ€ๆง ่ตซ้ญฏ้›ชๅคซ ไป–่ฆๆฑ‚ๅขžๅŠ ่‡ชๅทฑ็š„้…้ก๏ผ ไป–็š„้…้กๆœฌไพ†ๆ˜ฏ่ฆๆฎบ7ๅˆฐ8ๅƒๅ€‹ใ€Žๆ•ตไบบใ€ ไป–ๅฐฑ่ชช๏ผšใ€Ž่ซ‹ๆŠŠๆˆ‘็š„้…้กๆ้ซ˜ๅˆฐ1่ฌ7ใ€ ๅฒ้”ๆž—ๆฎบไบบๆตด่ก€๏ผ ๆˆ‘็œ‹้Žไป–็š„้›†้ซ”ๆฎบไบบไปค ่ทŸMolotov, Voroshilov, Kaganovichๅ’ŒZhdanovไธ€่ตท็ฐฝ็ฝฒ็š„ ไป–ๅ€‘ๆ˜ฏไธŠ้ขๆœ€ๆดป่บ็š„5ไบบ
I saw the death sentences which he signed in packages. Together with Molotov, Voroshilov, Kaganovich and Zhdanov. They were the five most active.
MolotovไนŸ้ƒฝ็ฟ’ๆ…ฃๆŠŠ10ๅนดๅˆ‘ๆœŸ็›ดๆŽฅๆ”น็‚บๆญปๅˆ‘ๅคงๆ”พ้€๏ผ ็ตๆžœ1937~1941ๅนด้–“ 1100่ฌไบบๆฐ‘้ญๆฎบๅฎณ ไฝ ๅฏไปฅๆƒณๅƒ้€™็จฎ้ซ˜ๅฃ“็ตฑๆฒปๅ—Ž๏ผŸ ็„ก่ซ–็”จใ€Šๅœ‹้š›ๆณ•ใ€‹็š„ๅ“ชๅ€‹ๆ…ฃไพ‹ๆชข่ฆ– ่˜‡่ฏ้€ฒๆ”ปๆณข่˜ญ็š„ๆฑบ็ญ–ๆ€Žๆจฃ็œ‹้ƒฝๆ˜ฏไพต็•ฅ่กŒ็‚บ
As a result, in 1937-1941, 11 million people were killed. Can you imagine the scale of repression against their own people?
Ribbentrop็š„ๆ่ญฐ่ฃก้ขๅŽŸๆœฌๆฒ’ๆœ‰้€™ไธ€ๆข ไฝ†ๅพˆๅผ”่ฉญ็š„(ๅฐฑไฟ„ๅœ‹ไบบ่ง€้ปž) ๆ่ญฐ็š„ไบบ็ซŸ็„ถๆ˜ฏๅฒ้”ๆž— ๆˆ‘ๅ€‘็•ถ็„ถๆ˜ฏๅฆไปป ๅ› ็‚บ้€™ๆจฃๆ˜ฏไพต็•ฅ่กŒ็‚บ ๅ…ฑ็”ข้ปจไธๅฏ่ƒฝ็ฐฝ็ฝฒ็š„๏ผ ๆˆ‘ๅ€‘ไธ€็›ดๅฆ่ชๅˆฐไบ‹ไปถ็™ผ็”Ÿ็•ถๅคฉ ็•ถๆŸๆž—่ฆๆ’คๅ‡บ้€™ๅ€‹ๅŸบๅœฐ็š„ๆ™‚ๅ€™
According to all norms of international law, the decision of the Soviet Government to invade Poland was a clear act of aggression. Initially Ribbentrop's proposal did not contain it. However strange it may seem, the initiator of this secret proposal was Stalin.
Rederๅธไปคๅฐฑๅฏ„ไบ†ไธ€ๅฐๆ„Ÿ่ฌๅ‡ฝ ็ตฆ่˜‡่ฏ็š„ๆตท่ปๅธไปคKuznecov ่กจ้”ๅพทๅœ‹ๆตท่ปๅฐๆ–ผ้‚ฃๆฌกๆฌพๅพ…็š„่‡ณไธŠ่ฌๆ„ ๅพทๅœ‹็š„่“‹ไธ–ๅคชไฟๅ’ŒSS(่ฆช่ก›้šŠ)ๆดพ่จชๅ•ๅœ˜ๅˆฐ่˜‡่ฏ ๅญธ็ฟ’ๅฆ‚ไฝ•่“‹้›†ไธญ็‡Ÿ ้€™ๆ˜ฏๅพทๆ–‡
Because it was aggressive, the Communist party could not have signed it. So we denied it up to the last day! When Berlin made the decision to stop using this base,
Beria็š„็ฐฝๅญ— ้€™ไนŸๆ˜ฏๅพทๆ–‡ ๅพทๆ–‡็ฟป่ญฏ๏ผš ่ฆช่ก›้ฆ–้ ˜, ไธญๅคฎไฟๅฎ‰ๅฎค้•ท 1938ๅนด11ๆœˆ3ๆ—ฅ, ๆ–ผๆŸๆž— ๅœจๆญคๆ‰นๅ‡†่ฆช่ก›้šŠไธŠๆ กMueller, ๅš็‚บๆˆ‘็š„ไปฃ่กจ ๆœ‰ๆฌŠๅœจ่Žซๆ–ฏ็ง‘ ็ฐฝ็ฝฒ่˜‡่ฏใ€Žๅ…งๅ‹™ๅง”ๅ“กๆœƒใ€่ˆ‡ๅพทๅœ‹ใ€Žไธญๅคฎไฟๅฎ‰ๅฎคใ€ ็š„็›ธ้—œๅˆ็ด„ ๆˆ‘ๅ€‘ๅฐๆญคๅฏ„ไปฅๅŽšๆœ› ่ƒฝๅŠ ๅผทๅ…ฉๅœ‹ๅฝผๆญค็š„ๅ’Œๅนณๅฎ‰ๅ…จ ่ฆช่ก›้šŠไธญๅฐ‡ Heydrich ไปฅไธŠ ้™„ๅœจๆญฃๆ–‡ไน‹ไธŠ็š„ๆ˜ฏ Larenty Beria
Reichsfuhrer SS, Chief of the Security Main Office Berlin, Nov 3, 1938. With this warrant, my representative Standartenfuhrer SS Mueller, is given the authority to sign an agreement in Moscow on coordinated activities between the NKVD and the Security Main Office of Germany on which we put high expectations. related to strengthening the peace and security between our countries.
KGB(็•ถๆ™‚ๆ˜ฏใ€Žๅ…งๅ‹™ๅง”ๅ“กๆœƒใ€)ๅ’Œ่“‹ไธ–ๅคชไฟๅฐฑๆœ‰็ง˜ๅฏ†ๅˆ็ด„ ้—œๆ–ผ้€™ไบ›ๅˆ็ด„ ไป–ๅ€‘ๅฎŒๅ…จๅฆ่ช ๆŒ‡ๆŽงๆˆ‘ๆ้€ ไบ‹ๅฏฆ ๅ› ็‚บๆˆ‘ๅ€‘ๅฅ‰่กŒๅœ‹้š›ๅ’Œๅนณ ไธๅฏ่ƒฝ็ฐฝ็ฝฒ้€™็จฎๅˆ็ด„ ็Ÿ›็›พๅพ—ๅคช่ช‡ๅผตไบ†๏ผ ่กจ้ขไธŠ ๅฒ้”ๆž—็š„ๆ”ฟๆฌŠ่ขซ่ฆ–็‚บไพต็•ฅๅœ‹ ไฝ†ๆชฏ้ขไธ‹ ๅœจๅค–ไบคๅ ดๅˆไธŠๅป่ขซ็ตฆๅพˆๅคšๆ–นไพฟ ๆ”ฟๆฌŠ็š„็ฝช่กŒ ไธๆœƒๅ› ็‚บ้ ˜ๅŸŸไธไธ€ๆจฃๅฐฑๆฒ’ไบ‹ไบ† ๅค–ไบคไธ่ฉฒไพ‹ๅค– ้€™ไบ›ไบ‹ๅฏฆ้ƒฝๆ‡‰่ฉฒไบˆไปฅๆ‰ฟ่ชไบ†๏ผ ใ€Žๅ…งๅ‹™ๅง”ๅ“กๆœƒใ€ๆœƒๅ‘่˜‡่ฏๆ”ฟๅบœๆๆกˆ ๆธ›ๅฐ‘็Œถๅคชไบบ็š„ๅƒๆ”ฟๆฉŸๆœƒ ไธฆไธ”็ฆๆญข็Œถๅคช็นๆฎ– ไธฆไธ”็ฆๆญขไป–ๅ€‘ๆ•™่‚ฒๆ–‡ๅŒ–็š„็น่ก ใ€Žๅœ‹ๅฎ‰็ธฝๅฑ€ใ€ๅ…งๅ‹™ๅง”ๅ“ก Beria ่ˆ‡ๅพทๅœ‹ใ€Žไธญๅคฎไฟๅฎ‰ๅฎคใ€ Mueller ้€™ๆ˜ฏไธ€ๅ€‹็œŸๅฏฆ็š„ๆˆฐ็ˆญ ้ขๅฐใ€Ž็Œถๅคชๆณ•่ฅฟๆ–ฏใ€็š„ๅœ‹ๅ…ง่‚…ๆธ…่กŒๅ‹• ๅ› ็‚บไป–ๆ˜ฏ็Œถๅคชไบบ Litvinovไธๅพ—่ˆ‡ๅพทๅœ‹็ฐฝ็ฝฒๅˆ็ด„ ใ€Žไธญๅคฎๆ”ฟๆฒปๅง”ๅ“กๆœƒใ€ๆฑบๅฎš็›ดๆŽฅๆงๆฑบ3ๅ€‹ๆˆฐๅ›š็‡Ÿ ๅœจKatynๅŸท่กŒๅฑ ๆฎบ็š„SoprunenkoไธŠๆ ก่ขซ้ ’็™ผๆฆฎ่ญฝ็Ž็ซ  ๆฎบๆณข่˜ญๆˆฐๅ›š็š„SerovๅพŒไพ†็•ถไธŠKGB้ฆ–้ ˜ ่ขซ้ ’็™ผๅœ‹ๅฎถๆœ€้ซ˜ๆฆฎ่ญฝใ€Žๅˆ—ๅฏงๅ‹ณ็ซ ใ€ ๆˆ‘ๅฎฃ็คบๆ•ˆๅฟ ้ฆ–้ ˜ๅธŒ็‰นๅ‹’ ๅœจๆˆ‘ๅ€‘ไน‹ไธญๆœ‰้›ข้–“ๅˆ†ๅญ็š„่ฉฑ ๆˆ‘ๅ€‘ๆœƒ่‡ชๅทฑใ€Ž่™•็†ใ€ ็„ถๅพŒๆˆ‘ๅ€‘ๅฐฑๆŠŠ้€™ไบ›้›ชๆฉ‡ๆ‹‰ๅˆฐๅข“ๅœ’ไธญ ๆˆ‘็š„ๅ…’ๅญ่ขซๅธถ่ตฐๆ™‚ ๅฎˆ่ก›้ƒฝๆฒ’ๆœ‰ๅœจ่ท็ญ ๅฐๅญฉๅญไธ่ขซ่ฆ–็‚บๅ›š็Šฏ ๆ‰€ไปฅไธๆœƒ่ขซๅŸ‹ๅœจๅ…ฌๆฐ‘ๅขณๅข“ไธญ ๆˆ‘ๅ€‘ๅ‰ฉไธ‹็š„ไบบ้ƒฝ่ขซๅŸ‹ๅœจๆณฅๆฒผไธญ ๆ—้‚Šไธ€ๅ€‹ๅฐๅญฉๆญปไบ† ๆˆ‘ไนŸๅฐฑๆ‹–่‘—ไป–่ตฐไบ† ๆ–ผๆ˜ฏๆˆ‘ๆœ€ๅพŒไธ€ๆฌก ๅƒ่ง€ๆˆ‘ๅ…’ๅญ็š„ๅขณๅข“ (ไพ†่‡ชๆ‹‰ๆ‰˜็ถญไบžไฝ”้ ˜ๆ™‚ๆœŸ็š„ๆช”ๆกˆ) ๆˆ‘ๅ€‘ๅˆฐๅค–้ข็š„ๆ™‚ๅ€™ ๅฐฑๆœ‰ไธ€็˜่ก€ ๆˆ‘ๅ€‘็”จไธ€ๅ€‹็“ถๅญ่ฃ่ตทไพ† ๅ› ็‚บๆ˜ฏๆˆ‘ๅ€‘็ˆถ่ฆช็š„่ก€ ๅฏฆๅœจๅพˆ้›ฃ้–‹ๅฃ ๅฅฝๅƒๅ‚ทๅฃ่ขซๆ‰ฏ้–‹ไธ€ๆจฃ ๆˆ‘ๅ€‘ๅฟ…้ ˆ่ช็Ÿฅไธ€ๅ€‹ไบ‹ๅฏฆ ่˜‡่ฏ็š„็“ฆ่งฃๆ˜ฏๅœ‹้š›ๆˆฐ็•ฅ็š„ใ€Žไธ–็ด€ๅคง็ฝ่ฎŠใ€ ๆฒ’ๆœ‰ไบบๆœƒๆƒณๆ‰ฟ่ช่‡ชๅทฑ็š„็ฅ–ๅ…ˆๆ˜ฏๆฎบไบบ็Šฏ ๆˆ‘่ฆบๅพ—้€™ๆ˜ฏ้—œ้ต ๅพทๅœ‹ๅœจไธ€ๆˆฐ็ตๆŸไน‹ๅพŒ ๆ„Ÿๅ—ๅˆฐๆฅตๅบฆ็š„ๅœ‹ๆฅ ่˜‡่ฏ็“ฆ่งฃไน‹ๅพŒ ๆˆ‘ๅ€‘ไนŸๆœ‰้กžไผผ็š„ๆƒ…็ต ้€™ๆ˜ฏใ€Žๆ–ฐ็ด็ฒนใ€ๆˆ้•ท็š„ๆฒƒๅœŸ ้€™ๅฐฑๆ˜ฏ่ฎ“ๅพทๅœ‹่ตฐไธŠๆณ•่ฅฟๆ–ฏ็ตฑๆฒป็š„ๆƒ…ๅขƒ 11ๆœˆ4ๆ—ฅ ็š„ใ€Žไฟ„็พ…ๆ–ฏ็ตฑไธ€ๆฐ‘ๆ—ๆ—ฅใ€ ่‡ชๅพžๆ™ฎไบญไธŠๅฐไน‹ๅพŒ ้ซ˜ๅฑค้™ธ็บŒๆ”พๅ‡บๅ„็จฎ็จฎๆ—ๆŽ’ๅค–ๅฎฃๅ‚ณ ไฝฟไบบๆฐ‘้–‹ๅง‹็”ข็”Ÿใ€ŽๆŽ’ๅค–ๆƒ…็ตใ€ ๅฐๅ…ถไป–็จฎๆ—็š„ใ€Ž่ชž่จ€ใ€ๅ’Œใ€Žๅฎ—ๆ•™ใ€็”ข็”ŸๆŽ’ๆ–ฅๅŽญๆƒก ไฟ„็พ…ๆ–ฏๅคง็œพๅช’้ซ” ๆญฃๅœจ็ ดๅฃžไฟ„็พ…ๆ–ฏๆฐ‘้–“็š„ๅ’Œ่ซง ๅ› ็‚บๅฎƒ่ขซ็Œถๅคชไบบ้›†ๅœ˜ๆ‰€ๆŽŒๆก ๆ’ฟ่ตทไพ† ็ตฆๆˆ‘ๆธ…ไนพๆทจ ไฝ ่ฌ›ไฟ„ๆ–‡ๅ—Ž๏ผŸ ๆˆ‘ๆ˜ฏใ€Žไฟ„็พ…ๆ–ฏ่‡ช็”ฑๆฐ‘ไธป้ปจใ€็š„่ญฐๅ“ก ๆˆ‘็š„ๅๅญ—ๆ˜ฏNikolay Kuryanovich ๆˆ‘ๆ˜ฏใ€Žๅœ‹ๅฎถๅฎ‰ๅ…จๆœƒ่ญฐใ€็š„ๅง”ๅ“ก ๆˆ‘ๅ‘ๆ‰€ๆœ‰ไฟ„็พ…ๆ–ฏๆ„›ๅœ‹ๅฟ—ๅฃซ่‡ดๆ•ฌ ไฟ„็พ…ๆ–ฏ่ฌๆญฒ๏ผ ๆˆ‘ๅ€‘่ขซใ€Žไฟ„็พ…ๆ–ฏๅœ‹ๅฎถๆฐ‘ไธป้ปจใ€้€ฎๆ• ไฟ„็พ…ๆ–ฏ่ฌๆญฒ๏ผ
One needs to acknowledge that the collapse of the Soviet Union was the greatest geopolitical catastrophe of the century.
Radko Mladic ๆˆฐ็ˆญ็Šฏ ๅฑ ๆฎบ9300ไบบๆฐ‘
Nobody wants to admit that one's ancestors were simple criminals. I think this is the point. There is this feeling of inferiority, of national humiliation, which was in Germany after WW1, and we had it after the collapse of the Soviet Union.
Dmitry Rogozin ไฟ„ๅœ‹ๆ–ฏๆดพ้งNATOๅคงไฝฟ ไฟ„็พ…ๆ–ฏ่ฌๆญฒ๏ผ ่˜‡่ฏๆฎบไบ†่ถ…้Ž20,000,000็š„็”ทไบบ, ๅฅณไบบ, ๅนผ็ซฅ ้€™้ƒจๅฝฑ็‰‡ ่ฌนๆญค็‚บไป–ๅ€‘็ปไธŠ www.sovietstory.com DVD่‡ช2009ๅนด้–‹ๅง‹่ฒฉๅ”ฎ (้€™้ƒจๅฝฑ็‰‡ๅƒ…็”ฑๅฐ้กๆๆฌพ้›†่ณ‡ๆ‹ๆˆ)
Maroon 5 - One More Night Album:Overexposed (2012) SUB BY KRlSHNA P S
Maroon 5 - One More Night Album:Overexposed (2012) SUB BY KRISHNA P S
You and I go hard
You and I go hard
At each other like we're going to war
At each other like we're going to war
You and I go rough
You and I go rough
We keep throwing things and slamming the doors
We keep throwing things and slamming the doors
You and I get so
You and I get so
Damn dysfunctional we stopped keeping score
Damn dysfunctional we stopped keeping score
You and I get sick
You and I get sick
Yeah, I know that we can't do this no more,
Yeah, I know that we can't do this no more,
But baby,there you go again,
But baby,there you go again,
There you go again,making me love you
There you go again,making me love you
Yeah,I stopped using my head,
Yeah,I stopped using my head,
Using my head let it all go
Using my head let it all go
Got you stuck on my body,
Got you stuck on my body,
On my body like a tattoo
On my body like a tattoo
And now I'm feeling stupid,
And now I'm feeling stupid,
Feeling stupid crawling back to you
Feeling stupid crawling back to you
So I cross my heart and I hope to die
So I cross my heart and I hope to die
That I'll only stay with you one more night
That I'll only stay with you one more night
And I know I've said it a million times
And I know I've said it a million times
But I'll only stay with you one more night
But I'll only stay with you one more night
Try to tell you no
Try to tell you no
But my body keeps on telling you yes
But my body keeps on telling you yes
Try to tell you stop
Try to tell you stop
But your lipstick got me so out of breath
But your lipstick got me so out of breath
I'd be waking up
I'd be waking up
In the morning probably hating myself
In the morning probably hating myself
And I'd be waking up
And I'd be waking up
Feeling satisfied,but guilty as hell,
Feeling satisfied,but guilty as hell,
But baby,there you go again,
But baby,there you go again,
There you go again,making me love you
There you go again,making me love you
Yeah,I stopped using my head,
Yeah,I stopped using my head,
Using my head,let it all go
Using my head,let it all go
Got you stuck on my body,
Got you stuck on my body,
On my body like a tattoo
On my body like a tattoo
And now I'm feeling stupid,
And now I'm feeling stupid,
Feeling stupid crawling back to you
Feeling stupid crawling back to you
So I cross my heart and I hope to die
So I cross my heart and I hope to die
That I'll only stay with you one more night
That I'll only stay with you one more night
And I know I've said it a million times
And I know I've said it a million times
But I'll only stay with you one more night
But I'll only stay with you one more night
Yeah baby,give me one more night
Yeah baby,give me one more night
Yeah baby,give me one more night
Yeah baby,give me one more night
Yeah baby,give me one more night
Yeah baby,give me one more night
But baby,there you go again,
But baby,there you go again,
There you go again,making me love you
There you go again,making me love you
Yeah,I stopped using my head,
Yeah,I stopped using my head,
Using my head,let it all go
Using my head,let it all go
Got you stuck on my body,
Got you stuck on my body,
On my body like a tattoo
On my body like a tattoo
Yeah,
Yeah,
So I cross my heart and I hope to die
So I cross my heart and I hope to die
That I'll only stay with you one more night
That I'll only stay with you one more night
And I know I've said it a million times
And I know I've said it a million times
But I'll only stay with you one more night
But I'll only stay with you one more night
Yeah baby,give me one more night
Yeah baby,give me one more night