D4Dave's Posts
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Take a look at this.
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Please, has anyone heard about www.drarg.com and their recent recruitment advert? Is the organization real? |
sooperrescue:I do not know the difference though, but it's a Conoil Quatro ATF |
sooperrescue:I used a Conoil ATF. I ran a scan afterwards and the scan read: P0721, P0731 after each scan and the problem persists after clearing the codes. My mechanic advised a change of gearbox. |
Not too late for me...I made a very silly mistake, am ashamed of myself.Hello @Siena I have a similar issue recently with my Volkswagen Jetta 2009. I was on a trip and it suddenly began to rev without switching gears. I ended up changing transmission fluid and running a scan. The scan results reads: P0721, P0731, P0751 at different scans, along side output shaft speed sensor circuit range/performance. After clearing the codes, the problem persists. Now the mechanic advised a change of gear box. Please, help me out, as buying a gear box is way out of my budget for now. |
I use a Volkswagen Jetta 2009 with an automatic transmission. It suddenly had difficulty switching gears. So I changed the transmission fluid, but the problem persists. I have also done a scan on the car, and the code shows P07031. After clearing the code, the seems to be okay from the dashboard, but it still has difficulty initialising speed and switching between gears. Who can help, please? |
A friend's got a 3rd class BSc.Ed and intends to go for MIT OR MBA. Please advice. Thanks. |
U ar invited 4 job interview on Thurs 4th Aug at The Parkland 1B Emmanuel Str. Opp Elomaz Hotels by Mobil Filling Station, Maryland Ikeja. Time 1pm prompt. Come wit 2 copies of ur CV. Rgds Does anyone have any information about the above? It was an SMS sent by "HEYDEN 1" |
08152282788 |
U ar invited 4 job interview on Thurs 4th Aug at The Parkland 1B Emmanuel Str. Opp Elomaz Hotels by Mobil Filling Station, Maryland Ikeja. Time 1pm prompt. Come wit 2 copies of ur CV. Rgds Does anyone have any information about the above? It was an SMS sent by "HEYDEN 1" |
Does anyone know about JOBOPOLITAN? |
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). |
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. |
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) |
I admire the reasoning of that young fellow. However, difference of two squares doesn't hold here because (a^2-b^2)=(a+b)(a-b) but (a^2-a^2) CANNOT AND WILL NEVER BE EQUAL TO (a+a)(a-a) because the CONVERSE, ie the reverse is not true; it will give 0 and not (a^2-a^2) Hence, his/her hypothesis is ABSOLUTELY wrong. |
Can an education mathematics graduate with third class from Unilag apply for masters in information technology? |
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