Exactly Just What Is Actually The Importance Of Business Intelligence Tool – One role that math plays in physics that is not mentioned in the text is that math is a very good way to get a very concise statement that would take up a lot of words in English. For example, Newton’s second law can be stated as follows:
The magnitude of an object’s acceleration is directly proportional to the net force applied to the object and inversely proportional to the mass of the object. The direction of the acceleration is the same as the direction of the net force.
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What exactly all of this means is not important (for now) – what is important is that the statement above can be expressed mathematically as: the point is that for a physicist, both statements say
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Many beginning physicists have the idea that equations in physics are just something to “plug in the numbers and get the answer” – which is one of the reasons why numerical computation is not emphasized in this physics course. Physicists think differently: equations tell them how concepts are related.
For example, this equation appears in the study of kinematics: The symbol to the left of the equation represents the concept of “average speed”. Since there are two symbols (forgetting the division sign, and the count for one symbol) to the right, for a physicist the equation says (among other things) that the average speed of an object depends on two (and only two) other concepts – object displacement ( ), and displacement time (t). Thus, equations tell scientists how concepts are related to each other.
Once an ea is expressed in mathematical form, you can use the rules (axioms, theorems, etc.) of mathematics to transform it into other statements. If the original declaration is correct and you strictly follow the rules, your final declaration will also be correct. This is what you do when you “solve” a math problem. From a scientific point of view, however, if you start with a statement about nature and end with another statement about nature, what you have done is think about nature. Mathematics mechanizes thought. That’s why you use it to solve problems! You could (maybe) figure it out without the help of math, but math makes it so much easier because all you have to do is follow the rules! As a very simple example, suppose you start with the equation above, which is often the definition of average speed (in mathematical form, of course):
It’s a perfectly acceptable mathematical operation to multiply both sides of an equation by a variable, so multiply both sides of that equation by “t”. You get: On the line se, the rules of algebra say t/t = 1, so it must be true that: And the commutative property of algebra says it’s the same as: This is a new statement about nature (equivalent to the familiar “distance equals speed multiplied by time”) – derived using mathematical rules. By using mathematics, physicists can discover new relationships between physical quantities – mathematics mechanizes thought. If you are looking for the best self-help book to uplift your spirit and overwhelmed with motivation, this book is for you.
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The truth is, nothing holds you back in life more than yourself. If there is a permanent gap between where you are and where you want to be, your efforts to close it are always met with your own resistance, pain and discomfort.
I’ve been eyeing Brianna West books for quite a while now. Idk when will I get these books. Anyway, nice share!
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