Is ZERO even??

[Biplab Bijay]

Errrr I'll think about it.

Ab bataiye. pura group theory padhi aur wo bhi bina tuition fee ke ? Hmmmmmm.

 

[Levina]

Ab bataiye. pura group theory padhi aur wo bhi bina tuition fee ke ? Hmmmmmm.

gyaan baantane se badhta hai...thus said some wise man....or may be a woman.

 

[Biplab Bijay]

gyaan baantane se badhta hai...thus said some wise man....or may be a woman.

Gyaan bechne se paisa badhta hai.... thus said your tuition master, that means me. he he he he.

 

[Levina]

Gyaan bechne se paisa badhta hai.... thus said your tuition master, that means me. he he he he.

Bowdown guruji!!
lolzz

 

[Biplab Bijay]

Bowdown guruji!!
lolzz

ek paisa, ye paisa do paisa ye paisa 3 nahin koi aisa 4 jaisa ye paisa

 

[jamahir]

does it matter if zero is even, odd or anything else?? mathematicians are a waste of time ( unless they happen to be ladies, heh heh heh )... this is just like grammar experts ... the intelligence of writing or speech does not depend on grammar... and indeed, grammar rules may be changed by those who choose to waste time on grammar ( U.S. academic claims punctuation mark could be abolished from English language with 'little loss of clarity' | Daily Mail Online ).

mathematics should only be respected as long as it is applied in reasonable usages which can be judged through the most natural political system...

mathematics cannot be a science by itself, so i will advise on people gathering to simplify existing complications rather than adding to complications... please stop this discussion.

 

[utraash]

true!

I had posted that thread sometime back
Ancient Computer Found In Roman Shipwreck

hmmm what about martial arts classes??
hu -ha!!

Madam Hath paav tudwanne Ki classes Ni chahiye ...... Mere liye toh photography Ki classes hi thik hai.....
Thoda Home science pe dhyan do .......

 

[Levina]

does it matter if zero is even, odd or anything else?? mathematicians are a waste of time ( unless they happen to be ladies, heh heh heh )... this is just like grammar experts ... the intelligence of writing or speech does not depend on grammar... and indeed, grammar rules may be changed by those who choose to waste time on grammar ( U.S. academic claims punctuation mark could be abolished from English language with 'little loss of clarity' | Daily Mail Online ).

mathematics should only be respected as long as it is applied in reasonable usages which can be judged through the most natural political system...

mathematics cannot be a science by itself, so i will advise on people gathering to simplify existing complications rather than adding to complications... please stop this discussion.

Curiosity takes man forward....
There was nothing complicated being discussed here.Infact the discussion in my POV helped me brush up my concepts.

Madam Hath paav tudwanne Ki classes Ni chahiye ...... Mere liye toh photography Ki classes hi thik hai.....

Photography ki classes toh Hume bhi chahiye.

Thoda Home science pe dhyan do .....

Tum bhi seekh hi lo...pata nai kab Kaam aa jaye ..

 

[Biplab Bijay]

Curiosity takes man forward....
There was nothing complicated being discussed here.Infact the discussion in my POV helped me brush up my concepts.

Photography ki classes toh Hume bhi chahiye.

Tum bhi seekh hi lo...pata nai kab Kaam aa jaye ..

Mera tuition fee kahan he ?

 

[Armstrong]

@levina Apa - Who cares if Zero is Even or not ?

You're not going to get a zero-sized waist either way !

 

[utraash]

Curiosity takes man forward....
There was nothing complicated being discussed here.Infact the discussion in my POV helped me brush up my concepts.

Photography ki classes toh Hume bhi chahiye.

Tum bhi seekh hi lo...pata nai kab Kaam aa jaye ..

Seekhi huyi hai ..... Jhaadu,pocha, bartan, kapade, cooking, ironing ye sab aata hai......
Baki home science k hod ban gate ho to aap gyaan share kar do ......

 

[halupridol]

after going through this thread

 

[Trawllu]

can you believe it ? This guy has developed these things in 7th century ? One of the greatest mind world has ever produced. This is what I call creation. He really is a creator.

And all these things by thinking without using any calculator.

Wrong. We had all that. Some invented earlier by Greeks and such and some invented by us, Indians. Challenge here is generating series of integral solutions, and coming up with generalized formula. This is the same person (Brahmagupta) who invented zero as we know till now.

Brahmagupta - Wikipedia, the free encyclopedia


This guy is a Genius boss. A real genius.​

Pell's equation
Brahmagupta went on to give a recurrence relation for generating solutions to certain instances of Diophantine equations of the second degree such as View attachment 114179 (called Pell's equation) by using the Euclidean algorithm. The Euclidean algorithm was known to him as the "pulverizer" since it breaks numbers down into ever smaller pieces.[15]

The nature of squares:
18.64. [Put down] twice the square-root of a given square by a multiplier and increased or diminished by an arbitrary [number]. The product of the first [pair], multiplied by the multiplier, with the product of the last [pair], is the last computed.
18.65. The sum of the thunderbolt products is the first. The additive is equal to the product of the additives. The two square-roots, divided by the additive or the subtractive, are the additive rupas.[7]



See how west has taken it from us.

INDIAN MATHEMATICS - BRAHMAGUPTA

View attachment 114181
View attachment 114182
Brahmagupta (598–668 AD)
View attachment 114182
The great 7th Century Indian mathematician and astronomer Brahmagupta wrote some important works on both mathematics and astronomy. He was from the state of Rajasthan of northwest India (he is often referred to as Bhillamalacarya, the teacher from Bhillamala), and later became the head of the astronomical observatory at Ujjain in central India. Most of his works are composed in elliptic verse, a common practice in Indian mathematics at the time, and consequently have something of a poetic ring to them.

It seems likely that Brahmagupta's works, especially his most famous text, the “Brahmasphutasiddhanta”, were brought by the 8th Century Abbasid caliph Al-Mansur to his newly founded centre of learning at Baghdad on the banks of the Tigris, providing an important link between Indian mathematics and astronomy and the nascent upsurge in science and mathematics in the Islamic world.

In his work on arithmetic, Brahmagupta explained how to find the cube and cube-root of an integer and gave rules facilitating the computation of squares and square roots. He also gave rules for dealing with five types of combinations of fractions. He gave the sum of the squares of the first n natural numbers as n(n + 1)(2n + 1)⁄ 6 and the sum of the cubes of the first n natural numbers as (n(n + 1)⁄2)².

View attachment 114183
View attachment 114182
Brahmagupta’s rules for dealing with zero and negative numbers
View attachment 114182
Brahmagupta’s genius, though, came in his treatment of the concept of (then relatively new) the number zero. Although often also attributed to the 7th Century Indian mathematician Bhaskara I, his “Brahmasphutasiddhanta” is probably the earliest known text to treat zero as a number in its own right, rather than as simply a placeholder digit as was done by the Babylonians, or as a symbol for a lack of quantity as was done by the Greeks and Romans.

Brahmagupta established the basic mathematical rules for dealing with zero (1 + 0 = 1; 1 - 0 = 1; and 1 x 0 = 0), although his understanding of division by zero was incomplete (he thought that 1 ÷ 0 = 0). Almost 500 years later, in the 12th Century, another Indian mathematician, Bhaskara II, showed that the answer should be infinity, not zero (on the grounds that 1 can be divided into an infinite number of pieces of size zero), an answer that was considered correct for centuries. However, this logic does not explain why 2 ÷ 0, 7 ÷ 0, etc, should also be zero - the modern view is that a number divided by zero is actually "undefined" (i.e. it doesn't make sense).

Brahmagupta’s view of numbers as abstract entities, rather than just for counting and measuring, allowed him to make yet another huge conceptual leap which would have profound consequence for future mathematics. Previously, the sum 3 - 4, for example, was considered to be either meaningless or, at best, just zero. Brahmagupta, however, realized that there could be such a thing as a negative number, which he referred to as “debt” as a opposed to “property”. He expounded on the rules for dealing with negative numbers (e.g. a negative times a negative is a positive, a negative times a positive is a negative, etc).

Furthermore, he pointed out, quadratic equations (of the type x2 + 2 = 11, for example) could in theory have two possible solutions, one of which could be negative, because 32 = 9 and -32 = 9. In addition to his work on solutions to general linear equations and quadratic equations, Brahmagupta went yet further by considering systems of simultaneous equations (set of equations containing multiple variables), and solving quadratic equations with two unknowns, something which was not even considered in the West until a thousand years later, when Fermat was considering similar problems in 1657.

View attachment 114184
View attachment 114182
Brahmagupta’s Theorem on cyclic quadrilaterals
View attachment 114182
Brahmagupta even attempted to write down these rather abstract concepts, using the initials of the names of colours to represent unknowns in his equations, one of the earliest intimations of what we now know as algebra.

Brahmagupta dedicated a substantial portion of his work to geometry and trigonometry. He established √10 (3.162277) as a good practical approximation for π (3.141593), and gave a formula, now known as Brahmagupta's Formula, for the area of a cyclic quadrilateral, as well as a celebrated theorem on the diagonals of a cyclic quadrilateral, usually referred to as Brahmagupta's Theorem.

JUST ASKING

what was the life span of this guy ?

lets assume 80 years ?

now IF he invented zero then at what age ?

lets assume 20 years

so rest of his life span 60 years

so you mean to say in 60 years of his lifespan after inventing zero he developed to quadratic equations,
astronomy, astrology all developed ( only after and with contribution of zero) within this short period of 60 years ?

then all the other sciences based on maths and all other great mathematician, astronomers, astrologers and Nvaigation technology should also have developed within this short span of 60 years - right
'coz navigation requires to understand angles now agnles includes 0 10, 20 etc


more likely what happened is

Zero was invented thousnads of years ago and as we know all knowledge was broken into parts and passed on from generation to generation verbally - sruti (told and heard) and smruti (memory)

we have no ways of knowing for how many generations and cycles this was passed verablly before being begun to put down on paper - and hence no true origin time

at some point of time they started putting it down on paper ans also thier own development on paper and those today are available

more over what they wrote down also could have some basics principles in the beginning as refreshers and today we belive them to be the authors original work, when the author has simply put i t there refresher and then moved on to his own original work

eg the Zero and the negative values being dealt with by Brahmagupta in the starteing of his works

JUST FOOD FOR SOME THOUGHT

 

[Spade]

does it matter if zero is even, odd or anything else?? mathematicians are a waste of time ( unless they happen to be ladies, heh heh heh )... this is just like grammar experts ... the intelligence of writing or speech does not depend on grammar... and indeed, grammar rules may be changed by those who choose to waste time on

mathematics should only be respected as long as it is applied in reasonable usages which can be judged through the most natural political system...

mathematics cannot be a science by itself, so i will advise on people gathering to simplify existing complications rather than adding to complications... please stop this discussion.

Kill him, not spare him & Kill him not, spare him. Waste of time indeed. Maths may not be science, but foundation for all science. Without maths, no progress can be made. Period.

JUST ASKING

what was the life span of this guy ?

lets assume 80 years ?

now IF he invented zero then at what age ?

lets assume 20 years

so rest of his life span 60 years

so you mean to say in 60 years of his lifespan after inventing zero he developed to quadratic equations,
astronomy, astrology all developed ( only after and with contribution of zero) within this short period of 60 years ?

then all the other sciences based on maths and all other great mathematician, astronomers, astrologers and Nvaigation technology should also have developed within this short span of 60 years - right
'coz navigation requires to understand angles now agnles includes 0 10, 20 etc


more likely what happened is

Zero was invented thousnads of years ago and as we know all knowledge was broken into parts and passed on from generation to generation verbally - sruti (told and heard) and smruti (memory)

we have no ways of knowing for how many generations and cycles this was passed verablly before being begun to put down on paper - and hence no true origin time

at some point of time they started putting it down on paper ans also thier own development on paper and those today are available

more over what they wrote down also could have some basics principles in the beginning as refreshers and today we belive them to be the authors original work, when the author has simply put i t there refresher and then moved on to his own original work

eg the Zero and the negative values being dealt with by Brahmagupta in the starteing of his works

JUST FOOD FOR SOME THOUGHT

Let us give credit to this guy, how about that? Why there is any need to do intellectual pole dancing about it. It is not like we have to speculate about it, we have multiple written records. We don't say Newton just wrote down what has been passed to him for thousands of years. So why just not say Brahmagupta was a genius and let it be?

 

[Trawllu]

Kill him, not spare him & Kill him not, spare him. Waste of time indeed. Maths may not be science, but foundation for all science. Without maths, no progress can be made. Period.

Let us give credit to this guy, how about that? Why there is any need to do intellectual pole dancing about it. It is not like we have to speculate about it, we have multiple written records. We don't say Newton just wrote down what has been passed to him for thousands of years. So why just not say Brahmagupta was a genius and let it be?

he was a genius no doubt about it

he invented this spherical quadriletarals possible and lets give it to him no problems

but he invented zero and took mathematics to this all in his one life span not possible