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Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 9:55pm On May 11, 2015 |
MrOlai:i dy sch o bros we all learning here. Prove 2 me that 0/0 =1 and let me back down 2 u. so we saying 10/2=5 and (10*0)/(2*0) = 5 ........... Pls help me prove these or correct me where i'm wrong because i tot that (10*0)/(2*0) = 0. HELP me out here. |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 9:58pm On May 11, 2015 |
MrOlai:i dy sch o bros we all learning here. Prove 2 me that 0/0 =1 and let me back down 2 u. so we saying 10/2=5 and (10*0)/(2*0) = 5 ........... Pls help me prove these or correct me where i'm wrong because i tot that (10*0)/(2*0) = 0. HELP me out here. |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 1:04am On May 12, 2015 |
jstriker442: How many zeros are in 1? As many I.E 1.0000000000000000000000000..... I'm sure u ve heard the slang "as useless as the 0 after a decimal point"......lol Mili and micro quantities are not the end of measurement. Ur calculator can even help u.....solve 1/1000 using calculator and keep tapping the ans key, u'll see ur figures getting slimmer and slimmer (approaching Zero) until ur calc lands on 0. So what measurement measures that? Isn't it rather "out of scale"? Undefined can be represented. Google for more info. 10^20 is not within human scale in the first place......so why multiply that with something within reach to prove a point? In my example, I used 1 x 10^ -30 dividing itself to give 1. That's close to zero, but who knows how many more negative powers are there to be filled.... Before we dive into meta-physics, please my friend, 0/0 can take any form (10-10)/ (10-10) are have similar items in the bracket and can be treated as a whole without solving each of their contents first. Let's not drag this further.....seek advice from your lecturers or google more. I appreciate your contribution thus far too. Cheers! |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 1:11am On May 12, 2015 |
jstriker442: Log1 =0 (law of logarithm) Therefore 0/0 = log 1 / log 1 = 1 Are u satisfied? Mathematics is wide and vast my friend..........we are learning everyday. Ok? 1 Like |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Joe82834(m): 4:28am On May 12, 2015 |
Onliie:Finally d first person to see what I said already. Said this but noticed no one commented on it.don't want to actually think it was because no one understood my point. In trying to prove 0/0=2 ,op was already assuming 0/0 = 1 by cancelling like he did.he has already faulted himself.tanx again,#respect 2 Likes |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Joe82834(m): 5:24am On May 12, 2015 |
brytandre:Since I luv maths, I smiled at seeing this.but like I said abt d initial proof,by multiplying both numerator n denominator by (10-10),u are already assuming that (10-10)/(10-10) which is 0/0 equals 1. This actually is d error in both proof(op's and urs). U can't b tryn to prove dat 0/0=2 n u re already using 0/0=1 to do that. Secondly on d op's proof,is it proper for a maths student to cancel out zero from numerator n denominator? Just gently go try these points wit an open mind and u will get wat I mean cos I can see u re gud at maths.tanx |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 7:10am On May 12, 2015 |
brytandre:una jst dy cancel out without checking for feasibility. Ma calc says log1/log1 = math error. Because if log1 is already = 0, then hw do u cancel zero to giv 1. Sti the same mistake he made. This is simply error in thinking. You ar jst trying 2 prove your point and thats not reasonable. How many zeros can you find in a zero. My friend zero is undefined i.e cannot be placed in value. 1 Like |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 7:15am On May 12, 2015 |
Joe82834:abeg help me talk to these guys b4 they fail exams thinking they are smart. 1 Like |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 7:27am On May 12, 2015 |
brytandre:bro maths is purely physical and even without indebt knowledge we shud be able 2 add and subtract. What do you mean by human scale, ever heard of light years ?? ......... U saying 10^-30 is within human scale, buh 10^20 is not........ Stop tinking outside the box my friend, this is simple maths. Jst understand that when zero is a denominator, equation undefined. If there is a digit after the decimal point, no matter the zeros b4 it, its not equal to zero but can be approx. Depending on the calculation. Zero CANNOT divide to give a value. Thanks man i see you thinking buh dnt think too far bro. |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Ifebazz(m): 8:32am On May 12, 2015 |
calculator123:Maybe you didn't follow the example I gave. Suppose p+q=1; 2x^2-x+4=0 is same as 2x^2-px-qx+4=0. If the able is true then that is true also. |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by d4Dave: 1:47pm On May 12, 2015 |
No, this is not valid.
First, division by zero is undefined. We can
stop right there if we like.
But further, in the fourth line of the
"answer," (10-10)/(10-10) is taken to equal 1
(as it is cancelled out). But as 10-10=0, this
means that 0/0=2 is a contradiction of this
assumption. This is another hole in the
argument. Neville Fogarty (2012) |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by d4Dave: 2:08pm On May 12, 2015 |
In algebra
It is generally regarded among mathematicians
that a natural way to interpret division by zero is
to first define division in terms of other arithmetic
operations. Under the standard rules for
arithmetic on integers , rational numbers, real
numbers , and complex numbers, division by
zero is undefined. Division by zero must be left
undefined in any mathematical system that
obeys the axioms of a field. The reason is that
division is defined to be the inverse operation of
multiplication . This means that the value of a /b
is the solution x of the equation bx = a whenever
such a value exists and is unique. Otherwise the
value is left undefined.
For b = 0, the equation bx = a can be rewritten
as 0x = a or simply 0 = a. Thus, in this case, the
equation bx = a has no solution if a is not equal
to 0, and has any x as a solution if a equals 0. In
either case, there is no unique value, so is
undefined. Conversely, in a field, the expression
is always defined if b is not equal to zero.
The concept that explains division in algebra is
that it is the inverse of multiplication. For
example,
since 2 is the value for which the unknown
quantity in
is true. But the expression
requires a value to be found for the unknown
quantity in
But any number multiplied by 0 is 0 and so there
is no number that solves the equation.
The expression
requires a value to be found for the unknown
quantity in
Again, any number multiplied by 0 is 0 and so
this time every number solves the equation
instead of there being a single number that can
be taken as the value of 0/0.
In general, a single value can't be assigned to a
fraction where the denominator is 0 so the value
remains undefined (see below for other
applications). 0/0 is known as indeterminate .
For more details on this topic, see Mathematical
fallacy .
It is possible to disguise a special case of
division by zero in an algebraic argument,[2]
leading to spurious proofs that 1 = 2 such as the
following:
With the following assumptions:
The following must be true:
Dividing by zero gives:
Simplified, yields:
The fallacy is the implicit assumption that
dividing by 0 is a legitimate operation with the
same properties as dividing by any other
number.
In calculus
At first glance it seems possible to define a /0 by
considering the limit of a / b as b approaches 0.
For any positive a , the limit from the right is
however, the limit from the left is
and so the is undefined (the limit is also
undefined for negative a ).
Furthermore, there is no obvious definition of 0/0
that can be derived from considering the limit of
a ratio. The limit
does not exist. Limits of the form
in which both ƒ (x ) and g (x ) approach 0 as x
approaches 0, may equal any real or infinite
value, or may not exist at all, depending on the
particular functions ƒ and g (see l'Hôpital's rule
for discussion and examples of limits of ratios).
These and other similar facts show that the
expression 0/0 cannot be well-defined as a limit. 2 Likes |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by d4Dave: 2:18pm On May 12, 2015 |
The set is the Riemann sphere,
which is of major importance in complex
analysis . Here too is an unsigned infinity –
or, as it is often called in this context, the point
at infinity . This set is analogous to the real
projective line, except that it is based on the field
of complex numbers . In the Riemann sphere,
, but is undefined, as is
.
The negative real numbers can be discarded,
and infinity introduced, leading to the set [0, ∞],
where division by zero can be naturally defined
as a/0 = ∞ for positive a. While this makes
division defined in more cases than usual,
subtraction is instead left undefined in many
cases, because there are no negative numbers.
In higher mathematics
Although division by zero cannot be sensibly
defined with real numbers and integers, it is
possible to consistently define it, or similar
operations, in other mathematical structures.
In the hyperreal numbers and the surreal
numbers , division by zero is still impossible, but
division by non-zero infinitesimals is possible.
In distribution theory one can extend the function
to a distribution on the whole space of real
numbers (in effect by using Cauchy principal
values ). It does not, however, make sense to
ask for a 'value' of this distribution at x = 0; a
sophisticated answer refers to the singular
support of the distribution.
In matrix algebra (or linear algebra in general),
one can define a pseudo-division, by setting a /
b = ab+ , in which b + represents the
pseudoinverse of b. It can be proven that if b −1
exists, then b+ = b −1 . If b equals 0, then b+ = 0;
see Generalized inverse .
Any number system that forms a commutative
ring—for instance, the integers, the real
numbers, and the complex numbers—can be
extended to a wheel in which division by zero is
always possible; however, in such a case,
"division" has a slightly different meaning.
The concepts applied to standard arithmetic are
similar to those in more general algebraic
structures, such as rings and fields . In a field,
every nonzero element is invertible under
multiplication; as above, division poses problems
only when attempting to divide by zero. This is
likewise true in a skew field (which for this
reason is called a division ring). However, in
other rings, division by nonzero elements may
also pose problems. For example, the ring Z/6 Z
of integers mod 6. The meaning of the
expression should be the solution x of the
equation . But in the ring Z /6 Z, 2 is a
zero divisor. This equation has two distinct
solutions, x = 1 and x = 4, so the expression is
undefined.
In field theory, the expression is only
shorthand for the formal expression ab −1 , where
b −1 is the multiplicative inverse of b. Since the
field axioms only guarantee the existence of
such inverses for nonzero elements, this
expression has no meaning when b is zero.
Modern texts include the axiom 0 ≠ 1 for fields
so that the zero ring is excluded from being a
field.
In computer arithmetic
Most calculators, such as this Texas
Instruments TI-86 , will halt execution and
display an error message when the user
or a running program attempts to divide
by zero.
Division by zero on Android 2.2.1
calculator shows the symbol of
infinity.
The IEEE floating-point standard , supported by
almost all modern floating-point units , specifies
that every floating point arithmetic operation,
including division by zero, has a well-defined
result. The standard supports signed zero, as
well as infinity and NaN (not a number). There
are two zeroes: +0 (positive zero ) and −0
( negative zero ) and this removes any ambiguity
when dividing. In IEEE 754 arithmetic, a ÷ +0 is
positive infinity when a is positive, negative
infinity when a is negative, and NaN when
a = ±0. The infinity signs change when dividing
by −0 instead.
The justification for this definition is to preserve
the sign of the result in case of arithmetic
underflow. [3] For example, in the single-
precision computation 1/( x/2), where x =
±2 −149 , the computation x/2 underflows and
produces ±0 with sign matching x , and the result
will be ±∞ with sign matching x . The sign will
match that of the exact result ±2 150 , but the
magnitude of the exact result is too large to
represent, so infinity is used to indicate overflow.
Integer division by zero is usually handled
differently from floating point since there is no
integer representation for the result. Some
processors generate an exception when an
attempt is made to divide an integer by zero,
although others will simply continue and
generate an incorrect result for the division. The
result depends on how division is implemented,
and can either be zero, or sometimes the largest
possible integer.
Because of the improper algebraic results of
assigning any value to division by zero, many
computer programming languages (including
those used by calculators ) explicitly forbid the
execution of the operation and may prematurely
halt a program that attempts it, sometimes
reporting a "Divide by zero" error. In these
cases, if some special behavior is desired for
division by zero, the condition must be explicitly
tested (for example, using an if statement).
Some programs (especially those that use fixed-
point arithmetic where no dedicated floating-
point hardware is available) will use behavior
similar to the IEEE standard, using large positive
and negative numbers to approximate infinities.
In some programming languages, an attempt to
divide by zero results in undefined behavior. The
graphical programming language Scratch 2 used
in many schools returns Infinity or -Infinity
depending on the sign of the dividend.
In two's complement arithmetic, attempts to
divide the smallest signed integer by are
attended by similar problems, and are handled
with the same range of solutions, from explicit
error conditions to undefined behavior.
Most calculators will either return an error or
state that 1/0 is undefined, however some TI
and HP graphing calculators will evaluate (1/0) 2
to ∞.
Microsoft Math and Mathematica return
ComplexInfinity for 1/0. Maple and Sage return
an error message for 1/0, and infinity for 1/0.0
(0.0 tells these systems to use floating point
arithmetic instead of algebraic arithmetic). 1 Like |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 4:12pm On May 12, 2015 |
Joe82834: U strike me as a very calm and understanding person. Now see this trick with the simple arithmetic 6/2 = 3 holds that 2x3 = 6....right? 0/1 = 0 holds that 1x0 = 1 ...right? 0/0= i (where i = -infinity to +infinity) holds that 0 x i = 0 .....isn't it? E.g if I have 0/0 = 2 holds that 0 x 2 = 0, or 0/0 = 10 holds that 0 x 10 = 0. Do u now see what the UNDEFINED is trying to say? It is not confusing is it? Now that's where my point is. I understand the OP is trying to prove 0/0 and in-between referring 0/0=1, leaves room for argument but does it mean he is wrong? If it appeals to u tho, accept it.... If it doesn't, u can let it go. But the argument of whether it is wrong or right is UNDEFINED 2 Likes 1 Share |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 4:31pm On May 12, 2015 |
jstriker442: Ok, let's think in this realm. Lol There is an obvious fallacy in his work (0/0=1) no doubt, which can make for an invalid argument as seen in comments made so far Mathematicians don't wanna make a mess of saying since 0/0=2 and 0/0=10 then 2 = 10.......hence the UNDEFINED, meaning "use it at ur own discretion and face the consequence" But it's fun what he did anyways. And I respect ur stance. If it appeals to u, accept it...if it doesn't just let him be. Mathematics need to proceed beyond wat is written already N.B: don't get upset by anyone's remarks and don't provoke either, let's have fun learning |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 4:48pm On May 12, 2015 |
brytandre:bro i respect u pass, i argue alot so i cant jst get provoked easily. Like i said we all learnin and i think i learnt a thing or two 4rm u. U too much. 1 Like |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 4:52pm On May 12, 2015 |
I need not be quoted on this: Dear OP, In the real sense, zero is nothing, 0/0 is more nothing........so getting "something" out of "nothing" is not entirely comfortable to humans (unless it's something spiritual) But I do admire ur creativity here, and though it has fallacy, it's strictly at ur discretion. If ever there'll be a study into "TIME TRAVEL", maybe 0/0 will come in hand, but sorry, humans are too busy trying to survive Thanks for post. Cheers! 1 Like |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by modewap: 5:03pm On May 12, 2015 |
hey check this out too. if x=y x-y=y-y x-y=0 divide by x-y (x-y)/(x-y)= 0 hence 1=0 mathematically 1+1=2 and from the above 0=1 so, 0+0=2 hence 0=2. |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Joe82834(m): 10:04pm On May 12, 2015 |
brytandre:Yea yea.indeterminate, undefined..........u re ryt.it only shows it could be anything.and op has a point.only problem was using 0/0=1 prove 0/0=2. OK let's play with numbers a bit.since 0/0 is 2, let's say (10+10)(10-10)/10(10-10). Let's cancel out d 10-10 from d numerator and denominator and write 2 (since op has proved it is so).it gives ((10+10)2)/10=20(2)/10=4.again u see wat it leads to.but then every good maths guru knows u don't cancel 0 from d numtr and denrmtr as in other numbers.but its all fun. Would be nice if sm1 creates a thread where ppl upload serious word problems n other teasers in maths so ppl go flex d brain here small 2 Likes |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by quickly: 10:14pm On May 12, 2015 |
ozodigboo: SEE OLODO AND U WILL BE ARGUING in this case is a=b so this rule done apply |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by quickly: 10:23pm On May 12, 2015 |
samopeyemi: 32-32 = 0 , a-a=0 but a-b=? it works on different unknowns only |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by flyfit(m): 10:52pm On May 12, 2015 |
totally wrong....... 0/0 is undefined |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 11:49pm On May 12, 2015 |
Joe82834: Exactly. I had fun tho. Will be on the look out for another mathematical (or statistical) thread. |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by tsdarkside(m): 11:58pm On May 17, 2015 |
Acekidc4: nooo...the way you should whorship god on saturday,not on sunday..... |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by maxti: 8:09pm On May 21, 2015 |
What he wrote is %. Percentage symbol n not. Zero over zero adewaletb3: |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by emekachimek: 10:01pm On Aug 19, 2015 |
nickydof:So u believed that shit! Sorry, You wasted your father's school fees. Obviously, you are a jambite |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by CashVessel(m): 12:07pm On Sep 17, 2015 |
[quote author=brytandre post=33599970] 10x10-10x10 = 10(10-10).... He didn't even need to include the step. It is correct Sir! [/quot You are right |
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by mohajenny: 6:07pm On Oct 20, 2015 |
Hello i am miss Jenny i am looking for friendship please contact me now so you can know more about me with my pics jernnifermohamed@gmail.com |
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