I can't tell you this. It's a personal question.
Sugarman
Won't ya hurry
Coz I'm tired of these scenes
For a blue coin
Won't ya bring back
All those colours to my dreams
Silver majik ships, you carry
Jumpers, coke, sweet MaryJane
Sugarman
Met a false friend
On a lonely, dusty road
Lost my heart
When I found it
It had turned to dead, black coal
Silver majik ships, you carry
Jumpers, coke, sweet MaryJane
Sugarman
You're the answer
That makes my questions disappear
Pretty close. Actually mine is better.capacity for learning, reasoning, understanding, and similar forms of mental activity; aptitude in grasping truths, relationships, facts, meanings, etc.
Human languages are usually referred to as natural languages, and the science of studying them falls under the purview of linguistics. A common progression for natural languages is that they are considered to be first spoken and then written, and then an understanding and explanation of their grammar is attempted.
An artificial language is a language the phonology, grammar, and/or vocabulary of which have been consciously devised or modified by an individual or group, instead of having evolved naturally.
The HTML language has the sub and sup elements for subscripts and superscripts. But they should primarily be regarded as stylistic suggestions only, rather than as essential parts of the notation. (See my notes on the intended use of sub and sup.) Naturally they can be valuable for “styling” math, too. To quote the descriptions of sub and sup in WDG’s HTML 4.0 Reference, replacing their markup examples with their appearance on your browser:Since SUB is inherently presentational, it should not be relied upon to express a given meaning. However, it can be useful for chemical formulas and mathematical indices, where the subscript presentation is helpful but not required. For example:
- Chemical formulas include H2O (water) and C21H27NO (methadone).
- Let x = x1 + x2 + ... + xn.
Since SUP is inherently presentational, it should not be relied upon to express a given meaning. However, it can be useful for mathematical exponents where the context implies the meaning of the exponent, as well as other cases where superscript presentation is helpful but not required. For example:However, especially when superscripting is used to express exponentiation, superscripting is essential, and there need not be any contextual hints. It really makes a difference if 109, which is intended to mean 10 to the power 9, actually gets displayed as 109. The same applies to using superscripts e.g. in denoting the transpose of A by AT (i.e., A immediately followed by T in superscript style).
- The rent is due on the 1st of each month.
- An example of a quadratic polynomial is 3x2 + 5x - 7.
<SUP CLASS=exponent>2</SUP>
Today, inexpensive calculators and computers have become the most common way to solve division problems, decreasing the traditional educational imperative to know how to do so by paper and pencil techniques. (Internally, those devices use one of a variety of division algorithms). In the United States, long division has been especially targeted for de-emphasis, or even elimination from the school curriculum, by reform mathematics, though traditionally introduced in the 4th or 5th grades. Some curricula such as Everyday Mathematics teach non-standard methods, or in the case of TERC argue that long division notation is itself no longer in mathematics. However many in the mathematics community have argued that standard arithmetic methods such as long division should continue to be taught.[2]
The prehistory of arithmetic is limited to a small number of artifacts which may indicate conception of addition and subtraction, the best-known being the Ishango bone from central Africa, dating from somewhere between 20,000 and 18,000 BC although its interpretation is disputed.[2]
The earliest written records indicate the Egyptians and Babylonians used all the elementary arithmetic operations as early as 2000 BC. These artifacts do not always reveal the specific process used for solving problems, but the characteristics of the particular numeral system strongly influence the complexity of the methods. The hieroglyphic system for Egyptian numerals, like the later Roman numerals, descended from tally marks used for counting. In both cases, this origin resulted in values that used a decimal base but did not include positional notation. Although addition was generally straightforward, multiplication in Roman arithmetic required the assistance of a counting board to obtain the results.
Early number systems that included positional notation were not decimal, including the sexagesimal (base 60) system for Babylonian numerals and the vigesimal(base 20) system that defined Maya numerals. Because of this place-value concept, the ability to reuse the same digits for different values contributed to simpler and more efficient methods of calculation.
The continuous historical development of modern arithmetic starts with the Hellenistic civilization of ancient Greece, although it originated much later than the Babylonian and Egyptian examples. Prior to the works of Euclid around 300 BC, Greek studies in mathematics overlapped with philosophical and mystical beliefs. For example, Nicomachus summarized the viewpoint of the earlier Pythagorean approach to numbers, and their relationships to each other, in his Introduction to Arithmetic.
Greek numerals, derived from the hieratic Egyptian system, also lacked positional notation, and therefore imposed the same complexity on the basic operations of arithmetic. For example, the ancient mathematician Archimedes devoted his entire work The Sand Reckoner merely to devising a notation for a certain large integer.
The gradual development of Hindu-Arabic numerals independently devised the place-value concept and positional notation, which combined the simpler methods for computations with a decimal base and the use of a digit representing zero. This allowed the system to consistently represent both large and small integers. This approach eventually replaced all other systems. In the early 6th century AD, the Indian mathematician Aryabhata incorporated an existing version of this system in his work, and experimented with different notations. In the 7th century, Brahmagupta established the use of zero as a separate number and determined the results for multiplication, division, addition and subtraction of zero and all other numbers, except for the result of division by zero. His contemporary, the Syriac bishop Severus Sebokht described the excellence of this system as "...valuable methods of calculation which surpass description". The Arabs also learned this new method and called it hesab.
Although the Codex Vigilanus described an early form of Arabic numerals (omitting zero) by 976 AD, Fibonacci was primarily responsible for spreading their use throughout Europe after the publication of his book Liber Abaci in 1202. He considered the significance of this "new" representation of numbers, which he styled the "Method of the Indians" (Latin Modus Indorum), so fundamental that all related mathematical foundations, including the results of Pythagoras and the algorism describing the methods for performing actual calculations, were "almost a mistake" in comparison.
In the Middle Ages, arithmetic was one of the seven liberal arts taught in universities.
The flourishing of algebra in the medieval Islamic world and in Renaissance Europe was an outgrowth of the enormous simplification of computation through decimal notation.
Addition is ...
... bringing two or more numbers (or things) together to make a new total.
[...]
Example: If you add 2 and 3 you get 5. You would write it like this:
2 + 3 = 5
You know what? I'll just do it all over again, why not.
I am starting from pre-algebra. I like this web site and it will be pleasant:
Algebra - Math - Brightstorm
Besides, now I know the history of maths, so I am comfortable with studying these things, given that for every little video I watch, there's one guy who gave his life to work out the formulas and notation used in it.
Yeah, I guess this recipe for learning could be applied to any subject: a little bit of history, a little bit of theory and a little bit of practice. When you start out, you need a reason to learn it: so you need practice first, to show you that you need math, which is what happened in my case with losing money in the stock market due to a lack of portfolio theory. Then, once you realize you need theory, it is still not enough, because there's a whole lot of theory to cover, and you will give up if you do it all at once. So you need to approach it a little bit at a time, and need some history. Then you go back to theory. Then some practice. Then history, and so on. If you ever get lost into theory just go back to history, videos... backwards to simpler stuff. You can't learn math all at once, just like i didn't learn english all at once.
Like for English, the problem with math is not about being intelligent enough to understand formulas, but about being knowledgeable enough to know the mathematical notation. The problem with all of us is that we think we're not understanding because we're stupid, and then this makes us give up. Instead it is just like any other language, and it takes more learning than reasoning.
AREAS OF MATHS
In my effort to cover maths, but only the maths that I need, I will try to define a structure of a few branches of maths, or areas, so i can cover it correctly and not randomly and disorderly. I want to be as orderly as possible:
Areas of mathematics - Wikipedia, the free encyclopedia
Way too many on wikipedia's entry above.
This one's interesting, too, but too many once again:
Outline of mathematics - Wikipedia, the free encyclopedia
I will use this guy:
Melvil Dewey - Wikipedia, the free encyclopedia
List of Dewey Decimal classes - Wikipedia, the free encyclopedia
Screw Topology. I will never need it.
[...]
Done. TIring but absolutely worth it.
View attachment 123686
Now, with this healthy and orderly structure (not too many categories nor too few), I am ready to immerse myself into math and learn to swim in it.
Mathematics (from Greek μάθημα máthēma "knowledge, study, learning") is the study of...
Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations (such as Roman numerals) for its use of the same symbol for the different orders of magnitude (for example, the "ones place", "tens place", "hundreds place"). This greatly simplified arithmetic and led to the quick spread of the notation across the world.
My little brother came up to me and asked for help in his math homework. His problem is $100.00 - 55.99 the answer is 44.01 but he wanted to explain why. How can I explain regrouping with multiple zeros' to him instead of just saying, " That's the way it is?" My little brother is in third grade.
01_brightstorm.com
02_summation_notation
03_thatquiz.org
04_math-tests.com
05_equation_generator-solver
What is TextSnap™
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Limitations of TextSnap™
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