Thursday, March 7, 2024

Math pt. 2: Multiplying with powers of ten (scientific notation)

Scientific notation is necessary for others to understand what equations we are talking about, for example, let's do an equation: 4 * 10^4, this is a scientific notation, as it is saying 4 times 10 to the power of 4 (10x10x10x10) and thus 4 * 10^4 is equal to 40,000, as you are 40 x 10 x 10 x 10.

How to do this equation is first multiply the 4 x 10 first, so that makes 40, then you multiply 40 x 10 x 10 x 10

For another example: 6 * 10^5, same thing here, 6 times 10 first makes 60, then you multiply 60 x 10 x 10 x 10 x 10, which makes 600,000.

Now it gets a little bit tough to understand with decimals: 3.102 * 10^2, to explain this, to multiply decimals it is easier to do a different equation, here's my explanation: first you convert the 10^2 to 100s aka 3.102 x 100, since 10x10 (10^2) is equal to 100,
now we have 3.102 * 100, now we just move the decimal twice to the right, or 3.012 + 100 = 301.2.
Notice how the 3.012 moved right twice? It's because when you add 10s to a decimal you move the decimal to the right.
1.75 x 10^-3 would move it to the left, and it would look like this 0.00175.

Now for multi-number multiplication, let's take (1.45 * 10^8) * (9.2 * 10^-12) * (3,01 * 10^-5)
now since this is multiplication, it doesn't matter what order we do these in, so to make it easier we can do it like 1.45 * 9.2 * 3.01, and then 10^8 +10^-12  + 10^-5.

Now do the powers first, 8 + -12 - 5 = -9 so -9 power, now 1.45 * 9.2 * 3.01 = 40.1534^-9, but this is not official scientific notation, to make it a correct notation you
must put 
40.1534 to be equal to one and less than ten.
The proper way to write this is 
4.01534 * 10 * 10^1 because you are moving the decimal to the right, as it is making the 
notation into a single digit (4), and then  you add the ^1 to the ^-9 to get
4.01534 * 10^-8

Wednesday, March 6, 2024

History pt 3: Paleolithic Humans

Homidae, a family that includes Humans, is split by Homidae and Poridae then to Pongo, which are Orangutans. 

Then the Homidae is also split into Homindae and Gorillini, and then Homindae split again into the genus Homo and the genus Pan, the pan would be Chimpanzees and Bonobos, and Homo is Latin for a human being.

The creatures that would one day become Humans are "Arboral simians", mostly quadrupeds (walk on four legs), and mainly ate fruit, and that we mainly lived in trees.
Well due to aridity (dry) or Savanah hypothesis. That says the number of trees diminished, and after that humans left the trees and began to walk on two legs, a good example is  "Australopithecus afarensis" which are southern Ethiopia apes.

As humans, we want to know what happened to the older humans so we did some digging and found three human skulls, the first skull was named: "Paranthropus aethiopicus", which translates to: "human near Ethiopia", which is 2.5 million years old.
Now this skull is interesting because it has a ridge on top of the skull, sorta like a bony dorsal fin, well since it had that "dorsal fin" named the sagittal crest. Which tells us that it is a "Temporalis" muscle, 

Next was Homo Erectus, which was found to be around 2 million to 700k years old.

The last is Homo sapiens, which are human skulls, and the oldest ones current humans have found are around 130k years old.  

Palaeolithic societies were largely dependent on foraging and hunting. 

The hominid species evolved through natural selection over millions of years.

And groups of hunters and gatherers often moved around for food before humans discovered agriculture. 

Palaeolithic literally means "Old stone", but mainly this refers to the years when humans relied on hunting, gathering and foraging for food sources. 
And since we haven't discovered agriculture yet, we had to worry about overfishing in rivers and lakes out of fear of depleting an important food source, or a draught that could destroy vital plants for consumption to feed the communities.
Thus we learned to do gathering and hunting in rotations, while some days we do some hunting, other days we do gathering, this ensured that we did not run out of natural resources for our communities. 

Then around 11,000 years ago, humans started migrating and exploring the world they started making tools and methods to support them in their new environments.

Most studies on early humans use biology and natural selection, however, it is also important to also focus on the social-cultural side of human evolution.
For example, most people believe that Neanderthal were worrying about what their next meal would be, it could not be further from the truth, as 
Neanderthal in Europe and Southwest Asia had religious beliefs and funerals.

A burial site in Shanidar Cave in modern-day north-eastern Iraq suggests that a Neanderthal family covered their dead bodies with flowers, which implies a belief in something beyond death and a sense of spirituality. 

Homo-sapiens did not change much over the last 120,000 years but a large amount of cultural evolution.

As humans started living in groups and in villages, our brains started to evolve to supplement our social skills. For the larger brains, our skulls started growing larger to compensate for our increasing brain size and giving birth was starting to become a problem, giving birth was getting more difficult due to larger skulls, longer gestation periods, and longer periods of infant dependency,  for the mothers had to rely more on the village around them to assist them in giving which in turn assisted in the cultural evolution of humans.

Then our brains started being creative, as we started using "creativity" for cultural spiritual and art purposes, burial rituals.

Thus the increase in births, we started having more populous and dense human communities, when these communities increased is when conflict and competition for areas, food and land.
These groups are not as big as cities are now, but were large enough that you could, have some manual labour groups, security and able to reproduce outside your own group.

Anthropologists were able to get to these conclusions about these peloPaleolithic people by extrapolating from the experiences of modern hunter-gatherer communities, such as the Khoisan of the African Kalahari Desert. 

In a tribe, there would be bands of hunter-gatherers comprised of 20-25 people and around 20 bands make a tribe.

To make enough food for a community or tribe, most Anthropologists say that for those who lived in the time between 150,000 to 12,000 years ago, most tribes used around 70 miles of unfertile land with minor resources.
Or 7 miles of fertile land to meet the needs of the community.

Before the advent of agriculture Paleolithic humans had little control over the environment they inhabited, and most came to an agreement with other tribes and settlements mainly around bodies of water.
And the agreement of doing certain jobs, as most of the women did the cleaning, gathering and childcare. While the men took care of the hunting.
But this is not fully set in stone, 
as some communities in Eurasia shared the work between genders equally.

These humans made technologies such as tools and weapons to deal with the environments around them. Using stones and natural fibres, 
art, language and spiritual life during these ages were very important to most.

Tools used by Paleolithic humans were classified by Anthropologists as:
Lower 
Paleolithic, Upper Paleolithic, Mesolithic (Middle Stone Age), and Neolithic (the New Stone Age).

Palaeolithic believed that Paleolithic humans used a system to divide work labour and resources. The stone tools used were a sign of culture and technological advancement while the cave drawings depicted group hunting.

Language was a vital part of human advancement as without the advent of language, there would be very little settlements, trade, and socialized without the creation Language.

Cave paintings from 35,000 years ago show that they were heavily invested in sharing knowledge and expressing emotions.
But most old cave paintings are too faded to see by today's humans.
But later cave paintings are still around and are often tourist attractions to visitors.

Tools were mainly made by chipping down stones such as flint, for example.
You might use the flint as a scraping tool to remove the hide of an animal, or to kill one, to dig as a shovel.
And most of the food they ate were: grains, meats, foraged vegetables, and fruits. 

Most societies were about 20-50 people living in tight-knit communities, like a neighbourhood. When gathering food, while hunting and gathering you are subjected to what the land can provide for you. As in not doing agriculture or domestication of animals, which happened at a later time. Hunting and gathering are highly time innocent compared to modern farming and food collecting. So you were really reliant on the plants to provide enough for your group of 20-50 people. 

Resources were limited as they did not know how to farm grains to feed themselves. So they often migrated distances to search for food sources. So they were nomads, nomads are people living off the land and having no permanent home, unlike these days where you purchase a home and stay in it permanently until you move. These people moved around a lot due to the scarcity of food in their areas forcing them to relocate. 

They would not have permanent homes as they would build shelters like primitive huts, and tents and take shelter in caves.

They started making Micro-liths, which are small stones made for more specific tools, around 25-30,000 years ago. They started making throwable spears, bows and arrows, making hunting less dangerous.

Then 16,000 years ago wild grains were harvested, not human-grown gain but naturally found grain, and tools like stone sickles on grain.
To get the grains out of its husk, you would use a mortar and pestle, which is used to crush objects, normally a rock in the shape of a bowl and a heavier stone to crush grain inside the rock bowl.
The husks are inedible and the things inside the husks are named endosperm.

Also, Humans back then thought of planting the grain nearer to where they lived.
And that started their creation of cities rather than groups.  

When light is going through the air, or through a glass prism, and when the light hits the prism at the correct angle, the path of the light gets bent, and the different frequencies will turn into different colours of light as it will refract into multiple colours.


 

 





Chemistry pt. 2: Isotopes

iMost of the mass in an atom comes from the amount of Protons and Neutrons in its nucleus. 

While every element is determined by the amount of Protons in its atom, the element Xenon is 54, and Copper is 29, but Neutrons are important too, not all atoms with different numbers of Neutrons are named "Isotopes". 

The sum of Neutrons and Protons in an atom is its "Mass number". For example: 
A is its Mass number, C is the Chemical Symbol and Z is the Atomic number:

                                                          A
                                                            C
                                                          Z

Let's take the element Silver or (Ag), you would need to add the amount of Protons and Neutrons together (47 Protons, 61 Neutrons) add them together you would get:

                                                         108 (total Protons and Neutrons)
                                                                Ag (chemical symbol)
                                                          47 (atomic number

Notice how we are filling in the numbers above like A, C and Z letters from the above diagram.

Another way to depict it is:

                                                            C-13 (carbon 13)

Which is carbon (C) and 13 is the atomic number, so for another one:

                                                            Au-78 (gold)

See the correlation, the element and then a hyphen or - symbol, then its atomic number.

But it is not all that easy, as atoms that have the same element can have different numbers of Neutrons, and these are dubbed as "Isotopes" which is the topic of today's post, as Isotopes have different numbers of Neutrons, they also have different mass numbers.

Ill just reuse this:

                                                          108 (total Protons and Neutrons)
                                                                Ag (chemical symbol)
                                                          47 (atomic number

Now, if you're told to figure out how many Neutrons does this element have, first just take the total mass (108) and minus 47 (the atomic number). which will give you the result of 61 Neutrons, or "108 - 47 = 61".

Now let's do it a little differently:

                                                         Pt-195

Now, you have to do it differently, so "Pt" is the element platinum, and platinum has 78 Protons, so all you have to do (again), is take the mass number in this case is 195, and minus it by 78 which it's amount of Protons, and "195 - 78 = 117", or 117 Neutrons.









Physics pt. 6: Magnetic Forces

 Ah, magnets are a vital piece of physics used from the humble fridge magnet, to large computers, these forces are, well, a force. 
Magnetic forces are a force that pulls similar to the gravitational force of the earth, magnetic forces pull on each other to pull objects closer.

The orientation of a magnet is important as the different poles cause the magnet to do different things. Now you are probably wondering, "Poles what is that?", there are two poles on a magnet, and each pole is different as one pole is positive and the other is negative, now if you were to put two magnets one facing the positive side and the other on the negative side, they will attract and pull each other closer.
Now if you were to do that with say, two negatives or two positives, they will repel as they are pushing away from each other.
The strength of the magnetic force decreases with range. Further the magnets are from each other, the weaker the magnetic force.

If two magnets have a strong force at 5 centimetres, increasing that distance to 10cm makes the forces weaker.

For example, MagLev trains use super strong magnets to push the train above the tracks to make the train have no friction due to wheel spin, and due to friction can travel at speeds of 500km or 310 miles per hour.

Physics pt. 5: Electric forces

 Electric forces are pretty interesting, for example, if you take your clothes out from the clothes dryer you might see that your clothes are sticking together and that's due to static electricity.

All matter has an "Electric charge", some have more charge than others, and thus there are mainly three types of charge. Positive, Neutral, And Negative charges each with their own perks. 

Back to the electrically charged clothes, since they were spinning in the dryer they were rubbing against each other, and that caused the negative electric charges to start to become positive because of friction, and then when you try to remove the clothing items apart you may notice that they stick since of the positive charge they both possess. 

As the name implies it is an "Electric force" and forces push and pull like a gushing river or a spinning typhoon, the electric force pulls or pushes depending on its electrical charge.

Now how does the attraction or repelling work, well the saying is "opposites attract", which means a positive charge will be attracted to a negative charge and vice versa, meaning in the dried clothes one of them is negatively charged while the other is positively charged.
But if both are the same (negative or positive charged), they will be repelled and try to avoid each other.

Now the strength of the electric force depends on the amount of electric charge in the object, so a strong electric charge causes it to be a strong pull or push, and how this pull and or push gets weaker is distance, as the further the object charged object is to the other object causes the strength to differ.



Tuesday, March 5, 2024

Math pt. 2: Negative exponents

 If you were to multiply 2^4 you would get: 16, but if you were to do 2^-4 and multiply it by a negative power, you would divide it, 2^4 I would be: 0.0625.

How you would do this is first do 2^4 and then it would be: 16, then you would divide 1 by 16 or 1 divided by 16 which would be: 0.0625.

Then again 3^3 would normally be: 27, but if you do 3^-3 it would be 1 divided by 27 and that would be: 0.012345679 or write it as 1/27.
And if you have 3^3 * 3^-3 it would be 1.


Monday, March 4, 2024

Grammar ep: 26 Irony

 Ah, Irony is a very complicated part of the English language, the rough definition is: "The difference between the expected and result".

For example, Dramatic Irony is when there is an unevenly distributed amount of awareness on the subject, for example:

Let's take a toddler, who greatly dislikes Brussels sprouts (mind you I the writer personally like Brussels sprouts), but he's never seen any, as he has only heard about it from his friends and they say it tastes horrible (I the writer says it tastes great this kid just hate veggies for some reason).
But his parents have given him Brussels sprouts as a side dish for dinner, so he doesn't know that he is currently eating Brussels sprouts, even though he has said multiple times he dislikes them.
Thus this is called Dramatic Irony.

The second form of Irony is Situational Irony, for example:
Let's say there's a husband and wife, and they want to buy something very nice for each other, so since they both don't have much money to buy extravagant gifts, they both sell something to make some extra cash to buy said gift for their spouse, the wife sell her favourite T-shirt and buys the husband a new strap for his watch.
The husband went to the shop and sold his watch to buy his wife a new patch for a small hole in his wife's favourite shirt.
After they give their gift, they notice that both gifts are practically useless, as the patch is only for the shirt with a hole, and the watch strap is only useful on a watch.
This is situational Irony. 

The third kind of Irony is verbal Irony, for example:

Let's take sarcasm as an example, let's say I lost my toy truck and you ask me how I am after losing my truck if I wanted to respond with sarcasm I would say "Oh yeah, I am alright, never better". If I wasn't being sarcastic I would say: "I feel terrible and deeply saddened since I lost my toy truck.

Now let's say my foot got crushed by a heavy stone, if you wanted to make it into a pun you would say: "I really feel flat today".