We can say that the sum of Grandi's series is Na N.' is the square root of -1, for b 0.

Imaginary numbers (and complex numbers in general) are essential for describing physical reality and have concrete applications in: electromagnetism, signal processing, control theory, quantum mechanics, cryptology, and cartography...

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When you’re someone who strives to match their actions and words, as well as living congruently with your values, it’s very difficult to habitually disappoint people or even have one of those switchy personalities that picks and chooses who they want to roll out their nicey-nice and assholic character for, which is their assessment is and feeding into a widely held belief by people who struggle with low self-esteem, that inappropriate, unhealthy or even abusive behaviour has a rationale and can be accepted when the recipient of it isn’t worthy of something better, as if you’re communicating your worth and influencing their behaviour.

What you can learn from people who seem to think that it’s OK to disappoint you and to disappointing you, while appearing to be more conscientious with others, is that they’re clearly aware that they can and should act better and are actually capable of it, at least on a surface level, but they’ll show their real selves and let it all hang out to someone who they think will take them any which way.

The difference between 3, 30 and 300 is only some extra zeros, but those little circles are actually one of the world's greatest inventions! C., Hindu scholars were working with nine oddly shaped symbols and a dot that eventually would bring order out of a world of mathematical chaos.

The dot and nine symbols were the earliest known forerunners of the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Of course disappointments can and will happen in life, because it’s inevitable that people, things, and situations will fail to live up to our hopes and expectations for them.

That said, what you don’t want is certain people keeping you in their mental It’s OK To Disappoint Roladex.

Na Ns are close to some undefined or inderterminate expressions in mathematics.

In short, Na N is not really a number but a symbol that represents a numerical quantity whose magnitude cannot be determined by the operating system.

– Thinking that it’s OK to leave it till the last minute to ask you out / to do something because they’re exploring all other options. – Expect you to be all adoring, accepting and forgiving no matter what they do so even when they eff up, they don’t exactly go out of their way to genuinely apologise and show remorse, often expecting you to ‘move on’ (read: hurry the eff up and get over it so that they can press the Reset Button).

– Breaking it off with you to go back to the same person and then coming back to you when it goes tits up.

Even if you got what you think that they give everyone else, they’d still disappoint you on a deeper level.