The Number Devil Prima Donna Numbers
Prima- donna numbers is another name for prime numbers. Prima- donna numbers/ prime numbers can only be divided evenly by one and itself. In The Number Devil, the Number Devil does the prima-donna numbers from 0 to 50. I created a chart, just like in the number devil and figured out which ones are prima-donna numbers. The number 0 does not count because if you divide a number by 0 the answer will always be 0. 12345678910

There are 15 prima-donna numbers and 35 non prima-donna numbers. The prima-donna numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, and 47.
In the orange box extension on page 64 the Number Devil talks about how you can find prima-donna numbers that when added together can equal other numbers. The numbers can be even numbers. They do not have to be odd like the prima-donna numbers. The number that you choose just has to be bigger than 5. The example from the book of this is, 55= 5 +19+31. I think this is cool because it was kind of fun trying to figure out which prima-donna numbers would sum up to the numbers that I chose. Below are my chosen numbers with the prima-donna numbers that sum up to them. 59 = 47 + 7 + 5

...The NumberDevil
The NumberDevil - A Mathematical Adventure, by Hans Magnus Enzensberger, begins with a young boy named Robert who suffers from reoccurring nightmares. Whether he’s getting slurped up by a giant fish, sliding down an endless slide into a black hole, or falling into a raging river, his incredibly detailed dreams always seem to have a negative effect on him. Robert’s nightmares either frighten him, make him angry, or disappoint him. His one wish is to never dream again; however, instead of the nightmares coming to a halt, his dreams take a turn for the weird. Instead of falling down holes and such, he meets the NumberDevil. Using giant furry calculators, piles of coconuts, electronic glass boxes, and an endless amount of scrolling paper (just to name a few), the NumberDevil introduces Robert to several different concepts of numeracy. Over the course of twelve dreams, Robert is taken further and further into mathematical theories where he eventually winds up marveling at just what numbers can do.
The first night the NumberDevil appears in Robert’s dream, he is not happy. Robert was relieved to finally escape his usual nightmares, but was not happy to stumble across a little red man who only wanted to talk about numbers. The first time Robert and the Number...

...The numbers are overwhelming: Over the next 17 years, 350 million rural residents (more than the entire U.S. population today) will leave the farm and move to China’s cities. That will bring the Chinese urban population from just under 600 million today to close to 1 billion, changing China into a country where more than two-thirds of its people are city dwellers, says Jonathan Woetzel, a director in McKinsey’s Shanghai office. The change will reverse China’s centuries-old identity as a largely rural country. Thirty years ago, when China started modernizing its economy, more than 80% of Chinese lived in the countryside. And just six years ago it still was about 60%. Today China is just under 50% urban.
The newly urbanized population will live in eight megacities, those with a population of more than 10 million, as well 15 big cities with populations between 5 million and 10 million. In addition, by 2025 China will probably have at least 221 cities with a population over 1 million, estimates Woetzel. That compares with 35 cities of that scale across all of Europe today. These new urbanites are expected to be a powerful booster of growth: Urban consumption as a share of gross domestic product will most likely rise from 25% today to roughly 33% by 2025. “Urbanization is the engine of the Chinese economy—it is what has driven productivity growth over the last 20 years,” says Woetzel. “And China has the potential to keep doing this for the next 20 years.”...

...48/51LR/14 – LOCKED ROTOR / EXCESSIVE STARTING TIME
Protection of motors against overheating caused by:
Excessive motor starting time due to overloads (e.g. conveyor) or insufficient supply voltage. The reacceleration of a motor that is not shut down, indicated by a logic input, may be considered as starting.
Locked rotor due to motor load (e.g. crusher):
In normal operation, after a normal start
Directly upon starting, before the detection of excessive starting time, with detection of locked rotor by a zero speed detector connected to a logic input, or by the underspeed function.
ANSI 66 – STARTS PER HOUR
Protection against motor overheating caused by:
Too frequent starts: motor energizing is inhibited when the maximum allowable number of starts is reached, after counting of:
Starts per hour (or adjustable period)
Consecutive motor hot or cold starts (reacceleration of a motor that is not shut down, indicated by a logic input, may be counted as a start)
Starts too close together in time: motor re-energizing after a shutdown is only allowed after an adjustable waiting time.
ANSI 50V/51V – VOLTAGE-RESTRAINED OVERCURRENT
Phase-to-phase short-circuit protection, for generators. The current tripping set point is voltage-adjusted in order to be sensitive to faults close to the generator which cause voltage drops and lowers the short-circuit current.
ANSI 26/63 – THERMOSTAT/BUCHHOLZ
Protection of transformers against temperature rise and internal...

...Note: These are not sample questions, but questions that explore some of the concepts that
may be used. The intention is that you should get prepared with the concepts rather than just
focusing on a set of questions.
----------------------------------------------------------------------------------1. What are the total number of divisors of 600(including 1 and 600)?
a.
b.
c.
d.
24
40
16
20
2. What is the sum of the squares of the first 20 naturalnumbers (1 to 20)?
a.
b.
c.
d.
2870
2000
5650
44100
3. What is∑
items?
a.
b.
c.
d.
(
), where
is the number of ways of choosing k items from 28
) where
is the number of ways of choosing k items from 28
406 *
306 *
28 *
56 *
4. What is ∑
items?
(
a.
b.
c.
d.
5. A call center agent has a list of 305 phone numbers of people in alphabetic order of names
(but she does not have any of the names). She needs to quickly contact Deepak Sharma to
convey a message to him. If each call takes 2 minutes to complete, and every call is
answered, what is the minimum amount of time in which she can guarantee to deliver the
message to Mr Sharma.
a.
b.
c.
d.
18 minutes
610 minutes
206 minutes
34 minutes
6. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the average time per call?
a.
b.
c.
d.
4 minutes
7 minutes
1 minutes
5 minutes...

...Quantum Numbers
Quantum Numbers
The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit, which was described by the n quantum number. Schrödinger's model allowed the electron to occupy three-dimensional space. It therefore required three coordinates, or three quantum numbers, to describe the orbitals in which electrons can be found.
The three coordinates that come from Schrödinger's wave equations are the principal (n), angular (l), and magnetic (m) quantum numbers. These quantum numbers describe the size, shape, and orientation in space of the orbitals on an atom.
The principal quantum number (n) describes the size of the orbital. Orbitals for which n = 2 are larger than those for which n = 1, for example. Because they have opposite electrical charges, electrons are attracted to the nucleus of the atom. Energy must therefore be absorbed to excite an electron from an orbital in which the electron is close to the nucleus (n = 1) into an orbital in which it is further from the nucleus (n = 2). The principal quantum number therefore indirectly describes the energy of an orbital.
The angular quantum number (l) describes the shape of the orbital. Orbitals have shapes that are best described as...

...Cardinal numbers: Definition, Examples
Cardinal numbers
We know that, the relation in sets defined by A~ B is an equivalence relation. Hence by fundamental theorem on equivalence relation, all sets are partitioned into disjoint classes of equivalent sets.
Thus for any set A, equivalence class of A, [A] = { B | B ~ A }
Result: - (1) [A] = [B] or [A] ∩ [B] = ∅ , that is for any two sets, either they have same equivalence classes or totally disjoint equivalence classes.
(2) = universal set.
(3) If A ∈ [B] then A ~ B (4) If A ∉ [B] then A ≁ B
Definition :- Let A be any set and let α denote the family of sets which are equivalent to A. Then α is called a Cardinal number (or, simply cardinal) of the set A, i.e., the cardinal number of A is the equivalence class of A. Cardinal number of A is denoted by or card (A) or #(A).
∴ The Cardinal number α of the set A is the collection of all sets equivalent to A, i.e., α = #(A)
The cardinal number of each of the sets ϕ, {1}, {1, 2}, {1, 2, 3} is denoted by 0, 1, 2, 3 respectively, and is called a finite cardinal.
The cardinal numbers of N ( the set of natural numbers), and R (the set of real numbers) are denoted by
#(N) = 0 (read aleph-null), #(R) = c
For finite sets the cardinal number is easy to describe. We...

...INDEX NUMBER
Introduction
Sebuah index menunjukkan perubahan relatif yang terjadi pada sebuah nilai dari satu periode ke periode yang lain. Kegunaan index, misalnya pada Consumer Price Index, adalah mengukur perubahan harga pada suatu kelompok besar dari barang-barang yang dibeli konsumen.
Simple Index Numbers
Angka index adalah suatu angka yang menunjukkan perubahan relatif pada harga, jumlah, atau nilai dibandingkan dengan suatu base period.
Jika angka index yang digunakan untuk mengukur perubahan relatif pada satu variabel saja, maka akan disebut sebagai index sederhana.
Alasan mengapa harus mengkonversikan data ke dalam index karena index merupakan cara yang mudah untuk menggambarkan perubahan suatu kelompok barang-barang yang beragam.
Susunan Angka Index
Rumus yang dapat digunakan dalam suatu index sederhana adalah:
Unweighted Index
Beberapa situasi mengharuskan kita untuk mengkombinasikan beberapa barang dan mengembangkan suatu index untuk membandingkan cost dari kumpulan barang-barang tersebut dalam dua periode waktu yang berbeda. Ada 2 cara untuk mengkombinasikan barang-barang untuk menentukan indexnya, seperti yang tertera pada tabel berikut:
| |Unweighted Index |
|Jenis |Simple Average of the Price Relatives |Simple Aggregate Index |
|Rumus |[pic]...

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