2021.12.07 06:59 CriKex So i got covid
2021.12.07 06:59 Illustrious-Ad-3470 Why do I have a feeling season 4 finale will overshadow season 2 finale
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2021.12.07 06:59 DoctorSusanCalvin overview for sebastianwallace8
2021.12.07 06:59 TheRungs Somebody wanna sell totw packs?
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2021.12.07 06:59 Bluetarragon X17 and BIOS version settings
My X17 is due to arrive tomorrow and I was wondering what BIOS version it will come with. New X17 owners - will I need to update the BIOS so I can disable Optimus?
Any other set up tips for a new X17 owner would also be appreciated.
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2021.12.07 06:59 mave_wreck ETH's market capnis now beyond the biggest banks in the world!
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2021.12.07 06:59 Vast_Entrepreneur_51 To all the cswa's out there, how long did you use Solidworks before attempting the exam ?
2021.12.07 06:59 Raggumba Can someone help me with proving divisibility statements with mathematical induction
Straight from the material my school gave us
"Prove by mathematical induction that 4n − 1 is divisible by 3 for any natural number n. Solution
Step 1: Show that the statement is true for n = 1.
4n − 1 = 41 − 1 = 4 − 1 = 3
Hence, 4n − 1 is divisible by 3 for n = 1.
Step 2: Assume that the statement is true for n = k. Then, show that it is also true for n = k + 1.
Assume that 4k − 1 = 3a for some integer a.
For n = k + 1, we have 4k+1 − 1 = 4(4k) − 1 = 3(4k) + (4k − 1).
Since 4k − 1 = 3a, we have 3(4k) + (4k − 1) = 3(4k) + 3a = 𝟑(4k + a).
Since k is an integer, 4k is also an integer. It also follows that 4k + a is an integer by the Closure Property. In this case, there exists some integer 𝑚 where 𝑚 = 4k + a.
Hence, 3(4k) + (4k − 1) = 3m.
This implies that 3(4k) + (4k − 1) is divisible by 3. Thus, by mathematical induction, 4n − 1 is divisible by 3 for any natural number n."
I understand most of it since i watched a few videos but im confused by a few things
1.) What exactly is a? Why are we assuming that 4k − 1 = 3a for some integer a?
2.) What happened to the 3 from 3a in " 3(4k) + (4k − 1) = 3(4k) + 3a = 3(4k + a)."?
It disappears then it becomes 3(4k + a). What happened?
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2021.12.07 06:59 dinosaurchestras to my best friend in 7th grade
i want to see you hear you i want you to talk to me i want to hold you i want to cry on your shoulder i want to kiss the top of your head i want to stop feeling this way i want to drink tea in the afternoon whisper secrets in the library i want you to tell me what you've been doing for the last six years i want you to have stayed the same i want you to be totally different. i want to relive that summer, every second of it- even the parts that were bad and confusing. i want the air to feel like it did then. i miss saying "see you next week." i wonder when was the last time we said it? i want to write you a text and then delete it all cowardly. whats new with you? i'm in college now. i saw you passed your drivers test. call me when you get the chance, okay? i still love you.
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2021.12.07 06:59 zuleyha84 31% off >> $34.99 >> Xiaomi Multimode Smart Gateway Banggood Coupon Promo Code [ZigBee Version]
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2021.12.07 06:59 Majoritymars5 Maybe you can find some good in this because I only see mistakes lol
2021.12.07 06:59 friedshrimp324 Taking 6 classes. How hard is it? Either 18 or 21 units.
2021.12.07 06:59 CrucialSir Skip Skip Skip Skip!
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2021.12.07 06:59 Zealousideal-Sock-94 [SRPB46J1] That dial doing its thing again!
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2021.12.07 06:59 sprtmgzn Zekron on me 1242 8501 4130
2021.12.07 06:59 SullyPanda76cl Move out from curved screen phones... Alternatives?
Hi... i've been galaxy fan since forever (s1, s5, s7, s9, s10), but I got tired of that extra expensive curved glass (It will always broke, sooner or later)...
Any good Android alternatives? might be Samsung, or not...
I don't mind much the signature bloatware.... Perhaps memory, camera and CPU are the most important features?
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2021.12.07 06:59 ParkingJacket1062 Layer shifts occur whenever there is a hole in the model. Any ways to fix this? I'm using Cura
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2021.12.07 06:59 neil344 Odegaard: Why Arsenal need a change in mindset after Everton defeat
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2021.12.07 06:59 BassoeG Opportunity Restored
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2021.12.07 06:59 _carafraser_ What are some unsafe situations production has forced contestants into
I’m writing an essay for class about how survivor needs to step up their game when it comes to safety, so it theres any situations you remember where production put contestants into obvisoloy unsafe situations such as when Pat got evacuated in DvG when production put them all on boat to get back to their island after a challenge even though there was a cyclone
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2021.12.07 06:59 semerkchet Speech synthesis using AVSpeechSynthesizer
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2021.12.07 06:59 M20104RISEUP why so pretty
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2021.12.07 06:59 hhsjhd78383 Does anyone else change details to make it more acceptable?
Long time viewer of this group, but posting anonymously. Ive (M43) only told one person (wife) about the one time I was abused. She had opened up about an assault and I decided to tell her. However I found myself changing details for some reason. I told her I was at a scout camp when 11 (true) and an older helper took me away from the group for a few hours (true). He then proceeded to wrestle in a fun way until he had me pinned down and proceeded to masturbate me (true). But I told my wife it was a person of about 16 and that it was gentle and it was almost a learning experience, however it was actually someone in his 60s and he was violent and forceful and he only finished once he had made me orgasm and then himself. My question is- why did I change the details, I feel as if I have covered for my abuser by making it seem like friends exploring at a young age. I never really think about it but the fact I changed the details has really confused me, and made me more angry at him than I have been in years.
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2021.12.07 06:59 SimpleDimple98 Is Suryavanshi worth watching?
I've watched both Singham movies.. liked the 1st one 2nd part was ok.. haven't watched the simba yet.. Do i need to watch simbaa or i can skip it.. and is Suryavanshi a good movie or i shouldn't bother to watch it at all..
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2021.12.07 06:59 defonotspamaccount Who is the most attractive person in history?