Raindrops, Flashcards, Summaries, Knitting And Ginger Tea.

The moon is pretty tonight…

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Human invention peaked when we created these bad boys

And that’s the motherfucking tea

The topologist’s sine curve.

Limts: f(x)=sin(1/x) is a rare example of a function with a non-existent one-sided limit. More technically, f(x)=sin(1/x) is defined for all numbers greater than zero, yet the limit as x approaches zero from the right of f(x)=sin(1/x) does not exist. This can be reasoned by considering the value of f at x-values near zero. Informally, f(near zero) could be 1 f(just a bit closer to zero) could be -1 so f(numbers near zero) does not seem to settle on a single y-value.

Continuity: Note that f is continuous for all numbers greater than zero but not continuous at x=0 since f is undefined there. Even if we were to “fill in the bad point” and let f(0)=0, the function would still not be continuous at zero! (note this is the natural choice as sin(0)=0). We can see that the adjusted f is still not continuous at zero since the sequence x_n=1/(pi/2+npi) converges but f(1/x_n) is the sequence (-1)^n which does not converge. This is similar to the argument above. In other words, closing in on x=0, we can keep finding x values such that f(x)=-1 and f(x)=1.

Topology: In topology, the topologist’s sine curve is a classic example of a space that is connected but not path connected. This space is formed in R^2 by taking the graph of f(x)=sin(1/x) together with its limit points (the line segment on the y-axis [-1,1], the red line on the second image). The graph of f is connected to this line segment as f and the segment cannot be sepearted by an open disc (no matter how small). This can be informally reasoned by the zooming illustration in the second image. But the space is not path connected by the sequence argument above (there is no path to the point (0,0)).

Image credits: http://mathworld.wolfram.com/TopologistsSineCurve.html and https://simomaths.wordpress.com/2013/03/10/topology-locally-connected-and-locally-path-connected-spaces/

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Abortion - destroy a life

Let me tell you what happens when abortion becomes illegal.

A mother is forced to go through with a pregnancy that she never wanted. She is constantly shamed and cussed at by society and her own family for ever wanting an abortion. This child once born is often used as a pawn against her. She is manipulated into staying in an emotionally and physically abusive relationship/marriage, all for the benefit of the baby. She is forced to throw away all of her goals, dreams and has to care for her newborn despite her personal trauma.

As the child gets older, it starts to understand. Mommy isin’t crying because she fell over, she hates her life. Mom isin’t being a bitch because she only cares about her self, she over worries about you in fear of you repeating her mistakes that she never told you about. Mom was never lying to you, she was protecting you from the ugly truth. The truth that was inevitable to come out.

The truth that makes you realise how unwanted you were. How you were only needed as a tool of manipulation, a litteral weapon against your own mother. The realisation of how your single existence ruined the life of the person you love the most. Thoughts that mess you up mentally and make you hate yourself.

And honestly? I cannot wish that life upon my worst of enemies. I would gladly give up my life so my mother could have had hers.

Stop telling women what to do with their bodies when it is already the hardest decision she will ever have to make.

~ sincerely, the child of a forced pregnancy.

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Imagine getting lost in woods then you find a Bulbasaur trying to help you 

i absolutely love when brutalist buildings are surrounded by and covered in a bunch of greenery. the juxtaposition……

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‘How Big, How Blue, How Beautiful’ Best Lyric Quotes

So here I am, back again with a new ‘Best Lyric Quotes’ post, this time with the enchanting Florence + the Machine. I picked this album first, not only ‘cause it’s the last one out, but also because I think it is immensely gorgeous. So let’s get to it already!

1. Ship to Wreck

“Did I drink too much? Am I losing touch? Did I build a ship to wreck?”

“Good God, under starless skies We are lost”

“Don’t touch the sleeping pills, they mess with my head”

“I can’t help but pull the earth around me to make my bed”

2. What Kind of Man

“You were on the other side, like always Wondering what to do with life”

“I’d already had a sip So I’d reasoned I was drunk enough to deal with it”

“Sometimes you’re half in and then you’re half out But you never close the door”

“You do such damage, how do you manage? To have me crawling back for more”

“I think I’m through it Then I’m back against the wall What kind of man loves like this?”

3. How Big How Blue How Beautiful

“Tell me you see it too We opened our eyes and it’s changing the view Oh, what are we gonna do? We opened the door now, it’s all coming through”

“So much time on the other side Waiting for you to wake up Maybe I’ll see you in another life If this one wasn’t enough“

4. Queen of Peace

“Oh, what is it worth When all that’s left is hurt?”

“Like the stars chase the sun Over the glowing hill, I will conquer Blood is running deep Some things never sleep”

“Suddenly I’m overcome Dissolving like the setting sun Like a boat into oblivion Cause you’re driving me away”

“Always does her best to please But is it any use? Somebody’s gotta lose”

“And my love is no good Against the fortress that it made of you”

“To give yourself over to another body That’s all you want really To be out of your own and consumed by another To swim inside the skin of your lover Not to have to breathe, not to have to think But you can’t live on love; salt water’s no drink”

5. Various Storms & Saints

“But you took your toll on me So I gave myself over willingly You got a hold on me”

“Don’t make the mountain your enemy Get out, get up there instead”

“You saw the stars out in front of you Too tempting not to touch But even though it shocked you Something’s electric in your blood”

“Outside the world seems a violent place But you had to have him, and so you did Some things you let go in order to live”

“You sing it out loud, ‘who made us this way?’ I know you’re bleeding, but you’ll be okay Hold on to your heart, you’ll keep it safe Hold on to your heart, don’t give it away”

“You don’t need no edge to cling from Your heart is there, it’s in your hands”

“I know it seems like forever I know it seems like an age But one day this will be over I swear it’s not so far away”

Hold on to your heart…

6. Delilah

“Cause I’m gonna be free and I’m gonna be fine”

“Too fast for freedom Sometimes it all falls down These chains never leave me I keep dragging them around”

“Strung up, strung out for your love Hanging, hung up, it’s so rough I’m wrung and ringing out Why can’t you let me know?”

7. Long & Lost

“Without your love, I’ll be So long and lost, are you missing me?”

“Is it too late to come on home? Can the city forgive? I hear its sad song”

“You wonder why it is that I came home I figured out where I belong”

8. Caught

“It’s the hardest thing I’ve ever had to do To try and keep from calling you Well, can my dreams keep coming true? How can they? Cause when I sleep, I never dream of you”

“As if the dream of you, it sleeps too But it never slips away It just gains its strength and digs its hooks To drag me through the day”

“I can’t keep calm, I can’t keep still Pulled apart against my will”

“it’s hard to see it when you’re in it Cause I went blind for you”

9. Third Eye

“Look up Don’t make a shadow of yourself Always shutting out the light”

“You don’t have to be a ghost Here amongst the living You are flesh and blood And you deserve to be loved And you deserve what you are given“

“But your pain is a tribute The only thing you let hold you”

“I am the same, I’m the same I’m trying to change“

10. St. Jude

“Another battle never won And each side is a loser So who cares who fired the gun?”

“And I’m learning, so I’m leaving And even though I’m grieving I’m trying to find the meaning Let loss reveal it”

“Maybe I’ve always been more comfortable in chaos”

11. Mother

“Can you protect me from what I want? The love that I let in left me so lost”

“No use wishing on the water It grants you no relief”

“Make me a big tall tree So I can shed my leaves and let it blow through me”

“Make me a big grey cloud So I can rain on you things I can’t say out loud”

“Make me a bird of prey So I can rise above this, let it fall away”

“Make me a song so sweet Heaven trembles, fallen at our feet”

12. Hiding

“Tell me I will be released Not sure I can deal with this Up all night again this week Breaking things that I should keep”

“I know that you’re hiding I know there’s a part of you that I just cannot reach You don’t have to let me in Just know that I’m still here I’m ready for you whenever, whenever you need”

“it’s your pride That’s keeping us still so far apart But if you give a little, so will I”

“I’m still here…”

13. Make Up Your Mind

“Every time I try to bring it down You always turn my hand around”

“Let me live or let me love you”

“While you’ve been saving your neck I’ve been breaking mine for you”

“Is it best to sip it slowly Or drink it down in one?”

“Make up your mind Before I make it up for you”

14. Which Witch

“I’m miles away, he’s on my mind I’m getting tired of crawling all the way”

“Been in the dark since the day we met Fire, help me to forget”

“And it’s an old scar Trying to bleach it out”

15. Pure Feeling

“Staring out the window I could see into the soul of every passer by So many lives So many pairs of eyes”

“Our bodies moving in the dark It takes the pain from me And then I am in love With everyone I see I keep on moving in the spaces where you used to be”

16. Conductor

“If I write a song about you Does that make you mine?”

“The notes were flying up Higher and higher But they never reach the top”

“I am the orchestra The conductor too My heart is a concert hall And I filled it with you”

17. As Far As I Could Get

“Because I am unloved I went as far as I could get”

“I went as far as I could get And I’m not far enough yet”

“I went as far as I could get Cause if I am unloved, I have unloved too”

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The deadly truth about a world built for men – from stab vests to car crashes (Caroline Criado-Perez, The Guardian, Feb 23 2019)

“The formula to determine standard office temperature was developed in the 1960s around the metabolic resting rate of the average man.

But a recent Dutch study found that the metabolic rate of young adult females performing light office work is significantly lower than the standard values for men doing the same activity.

In fact, the formula may overestimate female metabolic rate by as much as 35%, meaning that current offices are on average five degrees too cold for women. (…)

Over the past 50 years, breast cancer rates in the industrialised world have risen significantly – but a failure to research female bodies, occupations and environments means that the data for exactly what is behind this rise is lacking.

“We know everything about dust disease in miners,” Rory O’Neill, professor of occupational and environmental policy research at the University of Stirling, tells me.

“You can’t say the same for exposures, physical or chemical, in ‘women’s work’.” (…)

All Tufekci’s photos from the event were unusable, she wrote, and “for one simple reason: good smartphones are designed for male hands”.

Voice recognition could be one solution to a smartphone that doesn’t fit your hands, but voice-recognition software is often hopelessly male-biased. (…)

When Apple launched its health-monitoring system with much fanfare in 2014, it boasted a “comprehensive” health tracker.

It could track blood pressure; steps taken; blood alcohol level; even molybdenum and copper intake.

But as many women pointed out at the time, they forgot one crucial detail: a period tracker. (…)

When Apple launched their AI, Siri, users in the US found that she (ironically) could find prostitutes and Viagra suppliers, but not abortion providers.

Siri could help you if you’d had a heart attack, but if you told her you’d been raped, she replied “I don’t know what you mean by ‘I was raped.’”

From smartwatches that are too big for women’s wrists, to map apps that fail to account for women who may want to know the “safest” in addition to “fastest” routes; 

to “measure how good you are at sex” apps called “iThrust” and “iBang” the tech industry is rife with other examples.

While there are an increasing number of female-led tech firms that do cater to women’s needs, they are seen as a “niche” concern and often struggle to get funding. (…)

Women tend to sit further forward when driving. This is because we are on average shorter. 

Our legs need to be closer to reach the pedals, and we need to sit more upright to see clearly over the dashboard.

This is not, however, the “standard seating position”, researchers have noted. Women are “out of position” drivers.

And our wilful deviation from the norm means that we are at greater risk of internal injury on frontal collisions. (…)

Designers may believe they are making products for everyone, but in reality they are mainly making them for men. It’s time to start designing women in.”

“I don’t know anything with certainty, but seeing the stars makes me dream.” ― Vincent Van Gogh