Then according to u what is the definition of even no.
On 25-Apr-2016 14:30, "Harikrishna Holla" <harikrishnaho...@gmail.com>
wrote:

> Set of even numbers = {.......-6,-4,-2,0,2,4,6......}.
> Set of odd numbers = {.......-5,-3,-1,3,5......}.
> Negative integers can be even or odd.
> An integer (whether it is negative or nonnegative) should be either even
> or odd.
> No integer  can be both even or odd. At the same time no integer can be
> neither even nor odd.
> "Euclid's division lemma a=bq+r can be extended to negative integers also"
> means in a=bq+r , a & q may be negative and  0 ≤ r < b.
> Eg: -6=2×(-3)+0 , -5=2×(-3)+1.......etc.
>
> Harikrishna Holla G,
> Brahmavara.
>
> On Mon, Apr 25, 2016 at 2:30 PM, Harikrishna Holla <
> harikrishnaho...@gmail.com> wrote:
>
>> Yes , b is positive.
>>
>> Harikrishna Holla G,
>> Brahmavara.
>>
>> On Mon, Apr 25, 2016 at 11:50 AM, Ramesh H N <rameshmysuru...@gmail.com>
>> wrote:
>>
>>> Sir u r condition clearly indicating that 0 <r<b indicates that b is
>>> possitive
>>> On 25-Apr-2016 07:45, "Harikrishna Holla" <harikrishnaho...@gmail.com>
>>> wrote:
>>>
>>>> No sir, Euclid's Lemma can be extended to negative integers also. Only
>>>> condition is 0 ≤ r < b.
>>>>
>>>>
>>>> Harikrishna Holla G,
>>>> Brahmavara.
>>>>
>>>> On Sun, Apr 24, 2016 at 9:15 PM, mahi mn <mnmah...@gmail.com> wrote:
>>>>
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>>>>>
>>>>> Reference introduction of maths ..
>>>>> On Apr 24, 2016 8:43 PM, "Harikrishna Holla" <
>>>>> harikrishnaho...@gmail.com> wrote:
>>>>>
>>>>>> In the equation a=bq+r,
>>>>>> if b=2, then every can be written in the form 2q or 2q+1.
>>>>>> The numbers of the form 2q are all evens and
>>>>>> the numbers of the form 2q+1 are all odds.
>>>>>> Zero is of the form 2q. So it should be even.
>>>>>> Where is the confusion? Why is the confusion?
>>>>>> ZERO IS EVEN is obvious.
>>>>>>
>>>>>> Harikrishna Holla G,
>>>>>> Brahmavara.
>>>>>>
>>>>>> --
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>>>>> --
>>>>> 1. If a teacher wants to join STF, visit
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>>>>> 4. For Ubuntu 14.04 installation, visit
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>>>>> 4. For doubts on Ubuntu, public software, visit
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>>>>> 5. Are you using pirated software? Use Sarvajanika Tantramsha, see
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>>>>> ಸಾರ್ವಜನಿಕ ಇಲಾಖೆಗೆ ಸಾರ್ವಜನಿಕ ತಂತ್ರಾಂಶ
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>>>>>
>>>> --
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>>>> 2. For STF training, visit KOER -
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>>>> 4. For Ubuntu 14.04 installation, visit
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>>>> ಸಾರ್ವಜನಿಕ ಇಲಾಖೆಗೆ ಸಾರ್ವಜನಿಕ ತಂತ್ರಾಂಶ
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>>> --
>>> 1. If a teacher wants to join STF, visit
>>> http://karnatakaeducation.org.in/KOER/en/index.php/Become_a_STF_groups_member
>>> 2. For STF training, visit KOER -
>>> http://karnatakaeducation.org.in/KOER/en/index.php
>>> 4. For Ubuntu 14.04 installation, visit
>>> http://karnatakaeducation.org.in/KOER/en/index.php/Kalpavriksha
>>> 4. For doubts on Ubuntu, public software, visit
>>> http://karnatakaeducation.org.in/KOER/en/index.php/Frequently_Asked_Questions
>>> 5. Are you using pirated software? Use Sarvajanika Tantramsha, see
>>> http://karnatakaeducation.org.in/KOER/en/index.php/Why_public_software
>>> ಸಾರ್ವಜನಿಕ ಇಲಾಖೆಗೆ ಸಾರ್ವಜನಿಕ ತಂತ್ರಾಂಶ
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>>
>>
> --
> 1. If a teacher wants to join STF, visit
> http://karnatakaeducation.org.in/KOER/en/index.php/Become_a_STF_groups_member
> 2. For STF training, visit KOER -
> http://karnatakaeducation.org.in/KOER/en/index.php
> 4. For Ubuntu 14.04 installation, visit
> http://karnatakaeducation.org.in/KOER/en/index.php/Kalpavriksha
> 4. For doubts on Ubuntu, public software, visit
> http://karnatakaeducation.org.in/KOER/en/index.php/Frequently_Asked_Questions
> 5. Are you using pirated software? Use Sarvajanika Tantramsha, see
> http://karnatakaeducation.org.in/KOER/en/index.php/Why_public_software
> ಸಾರ್ವಜನಿಕ ಇಲಾಖೆಗೆ ಸಾರ್ವಜನಿಕ ತಂತ್ರಾಂಶ
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-- 
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4. For Ubuntu 14.04 installation,    visit 
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4. For doubts on Ubuntu, public software, visit 
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5. Are you using pirated software? Use Sarvajanika Tantramsha, see 
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