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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsFrom: Stephane Legras-Decussy Newsgroups: fr.rec.bricolage Subject: =?UTF-8?Q?Re:_ratio_=c3=a9lec_/_gaz?= Date: Mon, 27 Nov 2023 20:37:31 +0100 Message-ID: References: <655bf2ba$0$4356$426a74cc@news.free.fr> <655c6b32$0$4368$426a74cc@news.free.fr> <655c9e01$0$6456$426a74cc@news.free.fr> <655e198c$0$6097$426a74cc@news.free.fr> <655e2f45$0$6099$426a74cc@news.free.fr> <655f5918$0$7530$426a34cc@news.free.fr> <65612a9d$0$27089$426a74cc@news.free.fr> <6564d6aa$0$6459$426a34cc@news.free.fr> MIME-Version: 1.0 Content-Type: text/plain; charset=iso-8859-15; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 27 Nov 2023 19:37:31 -0000 (UTC) Injection-Info: solani.org; logging-data="2177458"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla/5.0 (X11; Linux i686; rv:52.0) Gecko/20100101 Thunderbird/52.9.1 Cancel-Lock: sha1:MYUFWlV78u6kiZ+IbK0ZMqfpFhI= In-Reply-To: <6564d6aa$0$6459$426a34cc@news.free.fr> X-User-ID: eJwNy0kBwDAIBEBL3EvkkAD+JbT/GdfgeLDwMF9fwX05mpuLZIkaoJq7yCdkj0+fJCll7CvVQ4QtMVhr9P0Bnf7Lylx2tw/V2RnX Content-Language: en-US Bytes: 2311 Lines: 11 On 11/27/2023 06:49 PM, Jac wrote: > Stephane Legras-Decussy a exposé le 27/11/2023 : > >> tu crois que le locataire paye le ravallement de façade ? >> >> on vient de me changer la chasse d'eau ... zéro ¤ > > Ah bon ? Chez moi, tu l'aurais payée. :D c'est pas moi qui l'ait cassée, c'est le calcaire :-) -------+ > > > > > > > > > > > Real Number | > > > > > > > > > > +-------------+ > > > > > > > > > >=20 > > > > > > > > > > n-ary Fixed-Point Number::=3D Number represented by a s= tring of digits, the > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 string may c= ontain a plus/minus sign or a point: > > > > > > > > > >=20 > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 = ::=3D [-,+] [ . ] > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 = ::=3D [{ 0, } ] > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 = ::=3D { 0, } > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 = ::=3D (1, 2, 3, 4, 5, 6, 7, 8, 9)=C2=A0 // 'digit' varys depending on= n- > > > > > > > > > > ary > > > > > > > > > >=20 > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 Two n-ary fi= xed-point number x,y are equal iff their form as mentioned > > > > > > > > > > above > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 are identica= l. > > > > > > > > > >=20 > > > > > > > > > > Real Nunmber(=E2=84=9D)::=3D {x| x is represented by n-= ary fixed-point number. The string > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 of digits of= x may be infinitely long } > > > > > > > > > >=20 > > > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 Note: This d= efinition implies that repeating decimals are irrational > > > > > > > > > > number. > > > > > > > > >=20 > > > > > > > > > So the RATIO of 1 and 7 isn't RATIOnal? > > > > > > > >=20 > > > > > > > > All rationals p/q are representable by q-ary fixed-point nu= mber. > > > > > > > >=20 > > > > > > >=20 > > > > > > > 0.99999... is representable by the following 10-ary fixed-poi= nt number: 1.0. > > > > > >=20 > > > > > > How? > > > > >=20 > > > > > 1.0 =3D 3*(1/3) =3D 3*0.33333... =3D 0.99999... > > > > >=20 > > > > What is that? Refutation by assertion? > > > >=20 > > > > > If not (if there is a difference), which number expresses the dif= ference > > > > > between 1.0 and 0.99999... ? > > > >=20 > > > > Let a=3D0.999..., b=3D1, c=3D(a+b)/2, c is the number between a and= b. (dense property) > > > >=20 > > >=20 > > > But the density property requires a and b to be DIFFERENT numbers bef= ore > > > it asserts that there is a number between them, otherwise c is just t= he > > > same number as a and b. > >=20 > > The premise of this thread said "If not" (means IF 0.999...!=3D1) > >=20 >=20 > False premise -> Unsound conclusions. >=20 > If you want 0.999(9) to be different than 1.00 you need to move beyond= =20 > the Real Numbers into some form of extended Reals, and understand what= =20 > that does to what logic you can use. >=20 > If going into some alternate or extended number system IS your goal,=20 > then you shouldn't call your numbers "The Reals", as that name is taken. 'real number' is already there. e.g. 'a line' or just a series of digits, whatever had practically used world wide now and then. Your 'real number' is also a theory which also suffers from revision. If you need a specific number system, you should name it otherwise.