... 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,...
... vague
Jonathan
Lawry
Modelling andReasoning
with Vague Concepts
Springer
-
6
MODELLING ANDREASONINGWITH VAGUE CONCEPTS
describing input attributes and the consequent is either a class ...
14
MODELLING ANDREASONINGWITH 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...
... 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...
... 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 withand 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:...
... 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...
... 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...
... 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....
... 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...
... 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...
... to have
done well on the test.
Had
better
1)advisability with threat
of bad result
You had better be on time, or we will
leave without you
(past form uncommon)
Be
supposed
to
1)expectation
Class ... to
1) repeated action in the
past
I used to visit my
grandparents every
weekend.
Shall
1) polite question to make
a suggestion.
2) future with I or we as
subject.
Shall I open the door?
I shall ...
b and c)
16. the phone has been ring ing for a minute. Noone …………at home(must have been/
can have been/ should have been/ none of these)
17. she’s fainted. Throw some water on her face and...