The Brokpa lexicon: Notes on selected semantic fields

Notes on Algebra (fields)

Proof. The intersection P of all subfields of F is a field by Exercise 1.4. Consider the ring homomorphism φ : Z → F given by φ(n) = n · 1. Since any subfield contains 1 and is closed under addition, imφ is contained in P . If Char F = p 6= 0 then imφ is isomorphic to Z/pZ = Fp. Since this is a field, we have P = imφ ∼= Fp. If Char F = 0 then φ is injective. Define φ̂ : Q → F by φ̂(m/n) = φ(m)/φ(...

Notes on electric fields

the role of semantic and communicative translation on reading comprehension of scientific texts

the following null hypothesis was proposed: h : there is no significant difference between the use of semantically or communicatively translates scientific texts. to test the null hypothesis, a number of procedures were taken first, two passages were selected form soyrcebooks of food and nutrition industry and gardening deciplines. each, in turn, was following by a number of comprehension quest...

Lecture Notes on Local Fields

In this case, I have corrected the Texnical errors. Also I have corrected some mathematical errors that I found – which were mercifully slight. Overall my 23 year-old mathematical self bears a closer resemblance to the current model than I might have expected (good news or bad?). If I would say something different today, I make a brief comment about it, but I have made no attempt to systematica...

Notes on selected topics in Statistics

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