SOAL JAWAB AKADEMIK

ekshenkamen

aku pun rase no perdana positif je

xpena dgr yg no perdana yg negatip

miss_wawa

haiwan mamalia ape yg plg bsr kat dunie hah?:hmm:

orang_letrik

Originally posted by miss_wawa at 21-1-2007 10:36 AM
haiwan mamalia ape yg plg bsr kat dunie hah?:hmm:

ikan paus biru...tul ke

miss_wawa

datuk ikan paus biru laaa!!!:nerd: hehe..

miss_wawa

yayyy dpt 25 kredit!!

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padlie

bukan ke kalau datuk dia lagi kecik ke? cuba tengok manusia, makin tua, makin kurus, makin bongkok (secara umum)...
ikan paus pun sama la, sebab sama-sama mamalia... :lol

padlie

Originally posted by waterboy at 19-1-2007 08:16 AM
aku pernah lihat law yg kedua asimov law...dlm citer i-robot...aku ingat law tu diorg sendiri reka, rupa2 nya memang law tu dah ada..hehe

Ramai ingat camtu... Sebab tu Pad tanya ni...

Newton Law, Pad blajar masa skolah dulu... Asimov masa degree.. Kepler lak masa kijer skrg...
Cuma yg pelik, kenapa mesti TIGA?

Mily

waa..x ingat dah law2 nih sumer..
ahaks..

miss_wawa

datuk paus lg kecik ehh??tp kan kalo datuk die buncit maknenye datuk paus pon same laa buncit&bsr!:ting:

nickelodeon

kalo paus yg mengandung camne?

padlie

rasanya jawapan yang sebenar ialah -> ikan paus yang mengalami masalah obesiti

waterboy

Originally posted by waterboy at 19-1-2007 03:39 PM
Saya nak soal mengenai subjek matematik...

Bolehkah nombor negatif menjadi nombor perdana?? Jika ya macamna?? Jika tidak macamna??

sekian

Jawapan boleh dalam bahasa malaysia atau english...

sumer anggap hanya positif je ke??? sebenarnya ....takpe nanti aku bagi jawapannya..aku dah dapat jawapan..

waterboy

seperti yang dijanjikan...ini dia jawapannya..

Answer One: No.

By the usual definition of prime for integers, negative integers can not be prime.

By this definition, primes are integers greater than one with no positive divisors besides one and itself. Negative numbers are excluded. In fact, they are given no thought.

Answer Two: Yes.

Now suppose we want to bring in the negative numbers: then -a divides b when every a does, so we treat them as essentially the same divisor.  This happens because -1 divides 1, which in turn divides everything.

Numbers that divide one are called units.  Two numbers a and b for which a is a unit times b are called associates.  So the divisors a and -a of b above are associates.

In the same way, -3 and 3 are associates, and in a sense represent the same prime.

So yes, negative integers can be prime (when viewed this way).  In fact the integer -p is prime whenever p, but since they are associates, we really do not have any new primes. Let's illustrate this with another example.

The Gaussian integers are the complex numbers a+bi where a and b are both integers.  (Here i is the square root of -1).  There are four units (integers that divide one) in this number system: 1, -1, i, and -i. So each prime has four associates.

It is possible to create a system in which each primes has infinitely many associates.

Answer Three: It doesn't matter

In more general number fields the confusion above disappears.  That is because most of these fields are not principal ideal domains and primes then are represented by ideals, not individual elements.  Looked at this way (-3), the set of all multiples of -3, is the same ideal as (3), the set of multiples of 3.

-3 and 3 then generate exactly the same prime ideal.

bobo_haha

pergh.................... aku yang amik electrical eng pun blur... lama dah tinggalkan kitab al handasah (kejuruteraan).................. skang keje.. keje.. keje..mana yang directly related je la yang aku ingat dan ngerti

bobo_haha

Originally posted by waterboy at 18-1-2007 03:31 PM
Nyatakan
a) 3 Newton's laws
Answer :
LAW 1: Every object in a state of uniform motion tends to remain in thatstate of motion unless an externalforce is applied to it.
LAW 2: The relationshi ...

(copy - paste ker?.............. :pmuka:  )

bobo_haha

Originally posted by padlie at 21-1-2007 11:09 PM


Ramai ingat camtu... Sebab tu Pad tanya ni...

Newton Law, Pad blajar masa skolah dulu... Asimov masa degree.. Kepler lak masa kijer skrg...
Cuma yg pelik, kenapa mesti TIGA?

nak lapan ke? :nerd:

bobo_haha

Originally posted by waterboy at 19-1-2007 03:39 PM
Saya nak soal mengenai subjek matematik...

Bolehkah nombor negatif menjadi nombor perdana?? Jika ya macamna?? Jika tidak macamna??

sekian

Jawapan boleh dalam bahasa malaysia atau english...

nak jawab dalam BI - sah sah aku copy paste............. :nerd:

jawapannye - nombor negatif tidak akan sekali pun menjadi nombor perdana.
ngapa sih?

apa definisi nombor perdana?
iaitu nombor yang mempunyai 2 faktor sahaja iaitu nombor itu sendiri dan 1.
apa makna faktor?
boleh dibahagikan dengan nombor itu sendiri dan dengan 1 tanpa baki.

nombor negatif?
katakan kita ambil (-5).
apa faktor bagi nombor (-5)?
-5 dan 1?
aha, faktor bagi (-5) ialah (-5), 5, 1, -1 (lebih daripada 2 faktoran).
oleh itu, menyalahi hukum alam dan manusia tahun 4.
alamak, alam dan manusia dah mansuh la...

:nyorok:

okey, aku nak tanye, kenapa 0 dan 1 bukan nombor perdana?

waterboy

..........

waterboy

Answer One: By Definition Of Prime
The definition is as follows.An integer greater than one is called a prime number if its only positive divisors (factors) are one and itself. Clearly one is left out, but this does not really address the question "why?"

Answer Two: Because Of The Purpose Of The Primes
The formal notion of primes was introduced by Euclid in his study of perfect numbers (in his "geometry" classic The Elements).  Euclid       needed to know when an integer n factored into a product of smaller integers (a nontrivially factorization), hence he was interested in those numbers which did not factor. Using the definition above he proved:

             The Fundamental Theorem of Arithmetic :
                        Every positive integer greater than one can be written uniquely as a product of primes, with the prime factors in the product written in order of nondecreasing size.

Here we find the most important use of primes: they are the unique building blocks of the multiplicative group of integers. In discussion of warfare you often hear the phrase "divide and conquer."  The same principle holds in mathematics.  Many of the properties of an integer can be traced back to the properties of its prime divisors, allowing us to divide the problem (literally) into smaller problems.  The number one is useless in this regard because a = 1.a = 1.1.a = ...  That is, divisibility by one fails to provide us any information about a.

Answer Three: Because One Is A Unit
Don't go feeling sorry for one, it is part of an important class of numberscall the units (or divisors of unity).  These are the elements (numbers) which have a multiplicative inverse.  For example, in the usual integers there are two units {1, -1}. If we expand our purview to include the Gaussian integers {a+bi | a, b are integers}, then we have four units {1, -1, i, -i}. In some number systems there are infinitely many units.
So indeed there was a time that many folks defined one to be a prime, but it is the importance of units in modern mathematics that causes us to be much more careful with the number one (and with primes).      

Answer Four: By The Generalized Defifnition Of Prime
There was a time that many folks defined one to be a prime, but it isthe importance of units and primes in modern mathematics that causes usto be much more careful with the number one (and with primes).Whenwe only consider the positive integers, the role of one as a unit is blurredwith its role as an identity; however, as we look at other number rings(a technical term for systems in which we can add, subtract and multiply),we see that the class of units is of fundamental importance and they mustbe found before we can even define the notion of a prime.  For example,here is how Borevich and Shafarevich define prime number in their classictext "Number Theory:"

            An element p of the ring D, nonzero and not a unit, is called prime if it can not be decomposed into factors p=ab, neither of which is a unit in D.

Sometimes numbers with this property are called irreducible and then the name prime is reserved for those numbers which when they divide a product ab, must divide a or b(these classes are the same for the ordinary integers--but not alwaysin more general systems).  Nevertheless, the units are a necessaryprecursors to the primes, and one falls in the class of units, notprimes.

[ Last edited by  waterboy at 24-1-2007 11:35 AM ]

nickelodeon

apsal soklan metematik je ni?fail la aku...