A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation". Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in all possible cases. An unproven proposition that is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work.Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic. Purely formal proofs, written fully in symbolic language without the involvement of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics, oral traditions in the mainstream mathematical community or in other cultures. The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language.
(Usomaji wa dakika 25)
PRAISE OUR LORD JEHOVAH!!!
PRAISE JESUS!!!
Whatever name you have for him (him being a symbol for Order), we all recognize him.
It took me being a Mum and going through crap to come to this realization.
Ikanibidi nikubaliane na maneno niliyasikia kwa Dr. Jordan...
Peace be upon you all,
Najua hapa kuna waliozitumia hizi motion sensors za tronic, nataka kujua kutokana na uzoefu wenu je ni water proof ?
Maana nataka kuzifunga kuzunguka uzio ila nahofia zitaharibika kwa mvua, kwa mliozitumia uzoefu wenu unalipi la kuzichambua.
(Wale wajuaji wa "nenda...
Kuna mtindo wa kwenye social media watu kutosoma maelezo marefu sana. Hivyo basi nimeamua kuileta sehemu tu ya ile sehemu ya pili, enjoy;
....................kukazia pointi kadhaa na kufunga;
Ndugu zangu, haidhuru mtu au mfumo kutokujua mwisho au mwanzo wake ili kuleta maana – ‘sense’. Maana...
Effective December 21, anyone requesting in-person government services must be fully vaccinated and show proof of vaccination, Ministry of Health CS Mutahi Kagwe has said.
In order to accelerate vaccination, the Ministry in collaboration with County Governments and other stakeholders will be...
Angalia jana insta, whatsap na facebook ilivyopotea na watu tukapoteana kabisa. Tusijaribu kuwaita mabeberu mana wameshikilia maisha yetu na imawezekana walifanya hivyo ili waone how do we value them.
Hata case ya Mbowe wakiamua kumwambia samia amtoe gerezani fasta anamtoa vinginevyo wanamute...
Hii ndio nchi yetu ambayo inajali wananchi na kuwasogezea huduma. Hili ni jengo la Tanesco lenye thamani ya milioni 408.
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Mchanganuo wa gharama zilizotumika kujenga ofisi ya TANESCO Wilaya ya Kyerwa, Kagera ambayo Waziri Mkuu Kassim Majaliwa amekataa kuifungua (TZS):
1. Chumba cha walinzi...
HARD PROOF! MOST VACCINATED COUNTRIES HAVE MOST COVID CASES
Posted on September 16, 2021 by State of the Nation
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MOST VACCINATED COUNTRIES HAVE MOST COVID CASES. SCOTLAND REVEALS TRUE VACCINATION DEATH RATE. VACCINATED ARE MORE INFECTIOUS. OFFICIAL VACCINE...
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