logical and reasoning questions with solutions

MEASURE and INTEGRATION Problems with Solutions

MEASURE and INTEGRATION Problems with Solutions

... 28 (a). Let D and E be measurable sets and f a function with domain D ∪E. Show that f is measurable if and only if its restriction to D and E are measurable. (b). Let f be a function with measurable ... =  n∈N C A n then E is countable and E ⊂ C and A n ∈ σ(E) for all n ∈ N. By definition of σ-algebra,  n∈N A n ∈ σ(E), and so  n∈N A n ∈ B. Thus, B is a σ-algebra of subsets of X and E ⊂ B. Hence, σ(E) ... any extended real numbers a, b with a < b, belong to C. Since f is measurable, {x : f(x) > a} and {x : f(x) < b} are measurable. It follows that (a, ∞) and (−∞, b) ∈ C. Furtheremore,...

Ngày tải lên: 23/02/2014, 19:32

158 1,2K 0
modelling and reasoning with vague concepts

modelling and reasoning with vague concepts

... vague Jonathan Lawry Modelling and Reasoning with Vague Concepts Springer - 6 MODELLING AND REASONING WITH VAGUE CONCEPTS describing input attributes and the consequent is either a class ... 14 MODELLING AND REASONING WITH VAGUE CONCEPTS Then g (0) = 0, g (1) = 1 and g (k) = 0.5. Also, it is easy to check that g is strictly increasing and continuous and hence onto. ... [44] and show that, as indicated by Dubois and Prade [25], it is strongly related to the random set approach. 2.3.3.1 Random Set Semantics In essence random sets are set valued variables and...

Ngày tải lên: 03/06/2014, 02:12

259 301 0
Báo cáo y học: "Effects of p-Synephrine alone and in Combination with Selected Bioflavonoids on Resting Metabolism, Blood Pressure, Heart Rate and Self-Reported Mood Changes"

Báo cáo y học: "Effects of p-Synephrine alone and in Combination with Selected Bioflavonoids on Resting Metabolism, Blood Pressure, Heart Rate and Self-Reported Mood Changes"

... 3: Advantra Z ® with 0 mg hesperidin and 600 mg naringin Group 4: Advantra Z ® with 100 mg hesperidin and 600 mg naringin Group 5: Advantra Z ® with 1,000 mg hesperidin and 600 mg naringin ... thermogenic effects of p-synephrine alone and in conjunction with the flavonoids naringin and hesperidin in a double-blinded, randomized, place- bo-controlled protocol with 10 subjects per treatment group. ... Conclusions This randomized double-blinded placebo control pilot study supports the safety and thermogenic ef- fects of p-synephrine, particularly when combined with 600 mg of naringin and 100 mg...

Ngày tải lên: 25/10/2012, 11:04

7 641 0
Báo cáo y học: "Weight loss, leukopenia and thrombocytopenia associated with sustained virologic response to Hepatitis C treatmen"

Báo cáo y học: "Weight loss, leukopenia and thrombocytopenia associated with sustained virologic response to Hepatitis C treatmen"

... clinical, biological, vi- rological and histological predictive factors that may be helpful in guiding decisions during therapy, and for counseling patients about outcomes. MATERIALS AND METHODS ... ribonucleic acid; SD = standard deviation. Table 2: Comparison of demographics, clinical characteristics and laboratory data between patients with and without sustained virological response (SVR). ... pegylated interferon and ribavirin in an academic ambulatory infectious disease practice. Clinical and laboratory characteristics were compared between patients with SVR and without SVR. RESULTS:...

Ngày tải lên: 26/10/2012, 09:39

7 519 0
Báo cáo y học: No associations of Helicobacter pylori infection and gastric atrophy with plasma total homocysteine in Japanes

Báo cáo y học: No associations of Helicobacter pylori infection and gastric atrophy with plasma total homocysteine in Japanes

... pylori and Chlamydia pneumoniae in fections with coronary heart disease and cardiovascular risk factors. BMJ. 1995; 311: 711-4. 26. Danesh J, Peto R. Risk factors for coronary heart disease and ... collected for measurement of plasma tHcy and serum folate. We defined tHcy levels of 12 nmol/ml and more as hyperhomocysteinemia, and folate levels of 4 mg/dl and lower as lower serum folate based ... GGA GT-3’, and R2: 5’-CAT GTC GGT GCA TGC CTT-3’. The am- plified DNA fragments were 128-base pairs (bp) for the C allele, 93-bp for the T allele, and 183-bp for common band. The tandem repeat...

Ngày tải lên: 31/10/2012, 14:34

7 579 1
501 Grammar and Writing Questions

501 Grammar and Writing Questions

... supply and demand determines the price of a commodity. a. between supply and demand determines b. among supply and demand determines c. among supply and demand determine d. between supply and demand ... between Andre and Robert began when he and his family moved to Ohio. a. The friendship between Andre and Robert began when he and his b. Andre and Robert's friendship began when he and his c. ... calm and that they possess b. are said to be calm and to possess c. said to be calm and possessing d. have said to be calm and to possess e. are said to be calm and possessive of 203. Along with...

Ngày tải lên: 02/11/2012, 17:13

180 1K 3
501 Grammar and Writing Questions

501 Grammar and Writing Questions

... husband b. yellow, and after I had painted my husband c. yellow and after I had painted, my husband d. yellow; and, after I had painted, my husband e. yellow and after I had painted my husband 119. Y elling ... Last spring, my cousin and I packed the tent, the sleeping bags, and a cooler filled with food and headed abc w est. No error. de 218. Although it usually has a soft b ody and muscular f eet, some ... Japan and the United States 118. I decided to paint the kitchen y ellow, and after I had painted, my husband informed me that he’d rather it be blue. a. yellow, and after I had painted, my husband b....

Ngày tải lên: 18/03/2013, 01:44

152 629 8
501-grammar-and-writing-questions-learning-express

501-grammar-and-writing-questions-learning-express

... calm and that they possess b. are said to be calm and to possess c. said to be calm and possessing d. have said to be calm and to possess e. are said to be calm and possessive of 203. Along with ... frighteningly and unhappy ending. a. a frighteningly and unhappy ending. b. a frighteningly and unhappily ending. c. an ending that was frightening and unhappily. d. a frightening and unhappy ending. e. ... correct as it is 61. a. malfunctioned, and my b. malfunctioned: and my c. malfunctioned? And my d. malfunctioned and, my e. correct as it is For more material and information, please visit Tai Lieu...

Ngày tải lên: 18/03/2013, 01:44

180 800 15
TChon 17 PRESENT SIMPLE AND PRESENT PROGRESSIVE WITH FUTURE MEANING.doc

TChon 17 PRESENT SIMPLE AND PRESENT PROGRESSIVE WITH FUTURE MEANING.doc

... of) 3.He was busy yesterday and ……. was I. (too/ either/ so/ neither) 4. What does she look like? - She’s …… (interesting and sense of humor/ generous and helpful/ tall and thin) 5. I received a ... VI. Choose and underline the best answers: (2ps) 1. You ought ……… the dentist. (go/ to go/ going/goes) 2. Hoa feels sick. She ate too …… candy last night. (much/ many/ a ... Match one in column A with one in column B: (2ps) A B Keys 1. What are you going to do this afternoon? a. You should wear overcoat. 1 - 2. Would you like to go to the cinema with me? b. I don’t...

Ngày tải lên: 08/07/2013, 01:27

2 1,2K 30
w