The Awful Secret of What Is a Variable in Math
If multiple variables of the particular very same name are defined in a wide range of places, they get overwritten in a distinctive purchase. When there’s more than one operation, it’s vital to keep in mind the order of operations, PEMDAS. A good case of this form of symbol is supplied by parentheses, which indicate the order in which arithmetical operations should be carried out.
In addition, if you’re likely to get a lot of double bacon cheeseburgers, you’re also likely to require a drink, which costs a dollar. A wild card is a card that may be whatever you would like it to be. Learn More It’s a true thing, and you may have a use for it.
A simple way to keep in mind is to insert the names of the 2 variables you’re using within this sentence in they way that makes the most sense. There are two sorts of variables-independent and dependent. It is normal for variables to play unique roles in exactly the same mathematical formula and names or qualifiers are introduced to distinguish them.
Variable identifiers can differ across languages. I began learning about what variables are, and the way they’re used, about 50 decades before, and have used variables just about every single day ever since then. It consists of two expressions set equal to one another.
This distinction is extremely relevant once you’re investigating cause-effect relationships. It’s a limited selection of applications in model theory. It has all of the materials you have to understand the concepts covered inside this subject.
If you drive a large, heavy, old auto, you get poor gas mileage. https://provost.northeastern.edu/uds/ There’s a property in math, known as the identity property. An annuity is usually supplied by the bulk of insurance businesses.
These days, it’s among the principal life insurance and annuity offering businesses in the country. Building a knowledgeable investment in the perfect pump implies having a superb idea of each one of the diverse pumps available on the market. The exact same is true whenever you pay rent.
Regardless, the outcomes are the precise same. When you’re attempting to repair an equation that has a variable, you’re trying to discover the worth of that variable. An inconsistent equation leads to a false statement.
Then repeat till you have only 1 equation. 2x is an expression with a single term.
In order to receive accurate advantages, the researcher should understand the 1 factor that’s causing the results of the experiment. In a lot of instances, you can discover certain solutions to your equations. For optimum outcome, pick a comparatively tricky equation to make sure there are several approaches to solve it.
In algebra, there are a number of rules that might be used for extra comprehension of equations. With the help of variables and algebra, you can figure out the answer. If you must place a formula in a spreadsheet, it isn’t abnormal to need to solve it for a particular variable first.
So that covers inventory and that which you would ordinarily set there. When you get into more complicated math applications, you may have several variables in 1 equation, which means that your capacity to use more than 1 variable at one time will get important. All uses of a specific identifier must refer to the exact same object.
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We still don’t have labels connected to the values of the new variable. Quantifier symbols are employed in logic. Single-character names are generally utilised to be a sign of auxiliary variables (for example, a loop variable could be named i).
How to Get Started with What Is a Variable in Math?
The second line consists of the quantity of lines for every one of the subsequent data blocks together with the complete number of lines, excluding the header block. Like, for example, nearly all the time X is the independent variable. Specifically, it is simple to establish how long ago a specific record was logged.
The Benefits of What Is a Variable in Math
In algebra, there are a lot of rules that may be used for additional comprehension of equations. 1 thing you’ll locate in your math classes is that there’s lots of distinct strategies to compose precisely the same thing. It’s a remarkable spot for things that handle geography or behavior.
Who Else Wants to Learn About What Is a Variable in Math?
Check with our compression document if you will need help in decoding these files. Neither is a whole code. This animation explains the idea of variables.
Variables are indispensable for computer programs to acquire the job finished. PHP supports the idea of variable functions. It denotes the capability to access the contents of a specific variable at a particular point in the program.
A matrix is simply a two-dimensional group of numbers. If you set a number in quotes, it is going to be treated as a text string. A number alone is called a Constant.
Variables have many helpful applications, but all of these are when a very best answer should be found. In addition, it adds the string value for a label to the numeric price. How to locate the Median Value.


If you’re a baseball fan, you already know a few things about the baseball diamond — bases are 90 feet apart, for example. That’s in the rulebook (pdf). You’ll see it, clear as day, in rule 2.01: “The infield shall be a 90-foot square.” Appendix 1 of the rule book has some nice images, too — it shows 90-degree angles at first, second, third, and home, and 90-foot lines connecting those four points.
What you may not know is that the rule book also tells us how big home plate has to be — and it’s pretty specific. That’s in rule 1.05 if you want to look it up, but here’s the relevant text:
[Home plate] shall be a 17-inch square with two of the corners removed so that one edge is 17 inches long, two adjacent sides are 8 1/2 inches and the remaining two sides are 12 inches and set at an angle to make a point. It shall be set in the ground with the point at the intersection of the lines extending from home base to first base and to third base; with the 17-inch edge facing the pitcher’s plate, and the two 12-inch edges coinciding with the first and third base lines.
And just to clear up any ambiguity, the images in Appendix 1 of the rules make it clear that those 12-inch edges are part of the 90-foot distance from home to first and third bases, respectively.
What Rule 1.05 doesn’t spell out exactly is that “two sides are 12 inches and set at an angle to make a point” have to be set at a 90-degree angle (a “right angle,” in math parlance) in order for the field to be a square and meet the requirements of the other rules. But that point is, in fact, supposed to be right angle. Just look at the following diagram, also found in the rulebook:
See those little squares drawn inside the angles? If you think back to your high school geometry days, you’ll remember that those mean that the angle is a right angle. And if you dig into your memories a bit more, you’ll probably remember your geometry teacher telling you about something called the Pythagorean Theorem. (For those readers who are big baseball fans, I’m not talking about the theorem of the same name which is used to estimate how many wins and losses a team should have based on their runs scored and runs allowed.) It applies to right triangles — that is, triangles with a right angle. The squares of the hypotenuse (the side across from the 90-degree angle) is equal to the squares of other two sides added together. Or, in formula form:
a2 + b2 = c2
Where a and b are the lengths of the shorter sides (the “legs”) and c is the length of the hypotenuse.
Home plate isn’t a triangle — it’s a pentagon — but it still follows similar principles. It’s pretty easy to say why: if you remove the two 8.5-inch sides from home plate and bring the top edge down you’ll end up with what, per the image, is a right triangle — two sides of 12 inches that meet at a 90-degree angle and a 17-inch hypotenuse.
And that’s a problem. Math-wise, that is.
Take 12 and square it and you’ll end up with 144. Square the other 12 and you get another 144; add those up — a2 + b2 — and you’re at 288. But if you take 17 and square that? It’s 289. The math is close, but not quite right.
It’s an almost imperceptibly small problem, but it means that if the top edge of home plate runs 17 inches, the angle at the point of home plate is a bit larger than 90 degrees. And in turn, this means that, despite rule 2.01’s insistence, the infield cannot quite be a square. In theory, the visiting manager could go to home plate, armed with a ruler and protractor, and demonstrate that the home team is violating the rules. In practice, we’ve never seen that happen, and thankfully so: we don’t know what the remedy would be, but it’d be really hard to fix.
Bonus fact: The baseball rules are oddly specific in other ways. For example, pitchers can’t use foreign substances to “intentionally discolor or damage the ball” pursuant to rule 3.01. The rule specifically references a few such substances — soil, sandpaper, emery paper, and… licorice. It’s not as absurd as it sounds — black licorice was once commonly used to mark up a ball, rendering it harder to see and therefore, harder to hit.
From the Archives: One Spud, You’re Out: How a trick play ended up getting the catcher out.
Related: A really great baseball cap.


This is actually 1,000,000 greenback question. Relyless efforts have been made to give you a winning lottery formula. Many have tried, but, wantless to say, have failed and given up their pursuit of a profitable lottery system. Some have succeeded, though. One in every of such people is Brad Duke, a Powerball winner, who just a few years back won well over 200 million greenbacks, pocketing over 80 million dollars in a lump sum.
Here’s what Mr. Duke had to say for Fortune, a well-liked financial magazine:
“I just began enjoying number games with myself about the right way to seize essentially the most various numbers. Then I looked at the newest Powerball numbers over the last six months and took the set of 15 numbers that were most commonly coming up. My Powerball numbers have been going to be these 15. So I began messing around with it, and my number games obtained slightly more complicated and slightly bigger. I was starting to win smaller quantities like $one hundred fifty and $500.”
What he isn’t saying is whether or not he was spending more than he was winning. While a hundred bucks and even five instances that sounds nice, if he was spending more than he was winning, his system was not a successful one at all. Happily, even if it were the case, all losses had been finally covered by one huge win, so the gamble was indeed price it.
His system based on in search of a most various pool of numbers looks like a step in the suitable direction compared to systems that assume that every one sets of numbers are equally good. To see this, let us consider the following set of five numbers: 1,2,3,4,5. This is a set of consecutive numbers and there are only a few dozens of such sets which might be formed from the whole numbers ranging from 1 to 39 or to fifty six or to regardless of the top number in a given lottery happens to be. Let us remind the reader that in a standard lottery, without a mega number, 5 or 6 numbers are drawn from the universe of entire numbers ranging from 1 to some prime number that’s normally about 50. When you compare this (a number of dozens) to many thousands and thousands of 5 number mixtures you could possibly draw, you shortly realize that it makes more sense to bet on the units of non-consecutive numbers as such units are statistically more likely to come up. And the longer you play, the more true this becomes. This is what Brad Duke would probably mean by a more numerous pool of numbers.
That is nice, except that each one this argument is wrong. And right here is why: all number mixtures are equally seemingly and while there are more combinations that do not constitute consecutive numbers, the bet just isn’t on the property (consecutive or non-consecutive), however on a exact combination and it is this specific combination that wins and not its mathematical property.
So how come that Mr. Duke won? Well, his system made things simpler for him. By choosing only 15 numbers and focusing on those instead of, say, 50, he simplified things and, finally, got lucky. He might have gotten fortunate, but in some other drawing, with some other set of numbers, not just these 15 that he selected because they seemed most commonly coming up. It stays to be seen if his set of numbers was more statistically legitimate in their alleged higher frequency than some other set. I somewhat doubt it.
Does that imply that this approach has no advantage? Not at all. As a matter of truth, it’s the perfect if not the only sensible approach you should use in such a case, an approach that is usually used by scientists to arrive at an approximate solution if an actual one is hard to determine out. Using 15 “more than likely candidates” as Mr. Duke did to win his hundreds of thousands or simply a smaller sample is an instance of an approximation to a more complicated problem which cannot be handled exactly in a realistic, cost environment friendly method due to its enormous size. Sometimes an approximate answer, if we’re fortunate sufficient, might turn out to the precise one as was the case for Brad Duke a few years ago.
Sure, luck is what we still need right here too. Even probably the most clever, most high-tech, lottery system cannot assure that you’ll ever win. It may possibly certainly aid you by simplifying the task of dealing with the game complexity, but to win the lottery you continue to want old-fashioned good luck. You might want to have Lady Luck on your side. So, how can you win her over? Well, avoiding black cats and standing ladders is said to work miracles in securing good luck, but that might not be sufficient, though. And I am, obviously, facetious here. There is only one way you possibly can help your luck: by taking part in the lottery. In any other case, how else are you able to even start to think you will ever turn out to be a lotto millionaire?
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Ohm’s law states that it takes 1 volt to push 1 ampere through 1 ohm. Ohm realized that all electric quantities will be proportional to each other and can as a result be expressed as mathematical formulas. He discovered that if the resistance of a circuit remained constant and the voltage increased, there was a corresponding proportional increase of current. Similarly, if the resistance remained constant and the voltage decreased, there’d be a proportional decrease of current. He also found that if the voltage remained consistent and the resistance increased, there would be a decrease of current; and any time the voltage remained constant and the resistance decreased, there would be an increase of current. This unique finding led Ohm to the conclusion that in a DC circuit, the current is directly proportional to the voltage and inversely proportional to the resistance.
The three basic ohms law formulas are:
The first formula can be used to find volts, when the current and resistance are known. The second formula can be used to find current, when the volts and resistance are known. The third formula can be used to find resistance, when the volts and current are known.
Another chart can also be used when the power (watts) must be determined.


Euclid’s Elements has been the best-selling mathematics book of all time, being used continuously for over 2000 years. Who was Euclid, and why did his writings have such influence? What does the Elements contain, and why did it create so much controversy over the years?
Who invented algebra?
Arabic mathematicians embraced the mathematics of Ancient Greece and India. What did they do, and how did their achievements influence Europe in the Middle Ages? We trace the story up to the establishment of universities, the development of perspective in art, and Fibonacci’s problem of the rabbits.
Who invented the calculus? - and other 17th century topics
The development of the calculus brought together two seemingly unrelated problems: how do things change, and how large are they? We develop the story from the early days of logarithms in Gresham College, to Newton’s work on gravitation and the calculus, and ask: Did the apple really fall on Newton’s head?
Problems with schoolgirls
Block designs are used in agriculture in connection with the planting of wheat. But earlier they arose in the so-called ‘schoolgirls problem’. What are block designs, what is the schoolgirls problem, and what is their connection with geometry and music?
How hard is a hard problem?
How can we distinguish between 'easy problems' and 'hard problems'? In this lecture I shall explain what is meant by an 'algorithm', and present some celebrated algorithms that can be used to solve a range of practical problems. I then investigate the efficiency of these algorithms and describe what is meant by a 'polynomial algorithm'. Finally, I shall explain the symbols P and NP, and pose ?the most important unsolved problem in current mathematics?: does P = NP?
Much ado about zero
The concept of zero developed in many cultures over thousands of years. Why did such a 'natural' idea take so long? This lecture illustrated the wide-ranging mathematical achievements of China, India and Central America over a thousand-year period - some not to be rediscovered in Europe for a further thousand years - before returning to the elusive origins of zero.
Most people know the story of Newton and the apple, but why was it so important? What sort of person was Newton? What was his major work Principia Mathematica about, what difficulties did it raise, and how were they resolved? Was Newton really the first to discover the calculus, and why did it matter?
Maps, Maidens and Molecules
How many colours are needed to colour a map? What was the 15 schoolgirl’s problem? How many alcohols and paraffins are there? This talk visits the fascinating world of Victorian mathematics and the contributions to it by eccentric lawyers, academics and clergymen.
Prime numbers form the building blocks of arithmetic. But if we make a list of them, many questions arise. Pairs of primes differing by 2 (such as 5 and 7, or 101 and 103) seem to occur 'all the way up', but there can also be huge gaps between successive primes.
So how are the prime numbers distributed? The Riemann hypothesis is a major unsolved problem whose solution would help us to answer this question.
Who invented the equals sign?
With the invention of printing, mathematical writings became widely available for the first time. What influence did this have? We discuss this question in the context of 16th-century navigation and astronomy, the solving of equations, and some breakthroughs in geometry and algebra, and ask: is this a record?
The story of e
The story of i
The story of pi
And many more- go over lectures by Robin Wilson
Others worth having a look- Raj Perasaud, John Barrow, Avinash Persaud


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Math Geometry all content Angles Angles between intersecting lines. Missing angles with a transversal. Practice: Angle relationships with parallel lines. Missing angles CA geometry. Proving angles are congruent. Proofs with transformations. Practice: Proofs with transformations.
Proving Parallel Lines
Next lesson. Current timeTotal duration Google Classroom Facebook Twitter. Video transcript We know that if we have two lines that are parallel-- so let me draw those two parallel lines, l and m. So that's line l and line m.
We know that if they are parallel, then if we were to draw a transversal that intersects both of them, that the corresponding angles are equal. So this is x, and this is y So we know that if l is parallel to m, then x is equal to y. What I want to do in this video is prove it the other way around. I want to prove-- So this is what we know. We know this. What I want to do is prove if x is equal to y, then l is parallel to m. So that we can go either way. If they're parallel, then the corresponding angles are equal.
And I want to show if the corresponding angles are equal, then the lines are definitely parallel. And what I'm going to do is prove it by contradiction.Parallel lines are important when you study quadrilaterals because six of the seven types of quadrilaterals all of them except the kite contain parallel lines.
The eight angles formed by parallel lines and a transversal are either congruent or supplementary. Check out the above figure which shows three lines that kind of resemble a giant not-equal sign.
The two horizontal lines are parallel, and the third line that crosses them is called a transversal. As you can see, the three lines form eight angles. Proving that angles are congruent: If a transversal intersects two parallel lines, then the following angles are congruent refer to the above figure :.
Alternate interior angles: The pair of angles 3 and 6 as well as 4 and 5 are alternate interior angles. These angle pairs are on opposite alternate sides of the transversal and are in between in the interior of the parallel lines. Alternate exterior angles: Angles 1 and 8 and angles 2 and 7 are called alternate exterior angles. Corresponding angles: The pair of angles 1 and 5 also 2 and 6, 3 and 7, and 4 and 8 are corresponding angles. Angles 1 and 5 are corresponding because each is in the same position the upper left-hand corner in its group of four angles.
Also notice that angles 1 and 4, 2 and 3, 5 and 8, and 6 and 7 are across from each other, forming vertical angles, which are also congruent. Proving that angles are supplementary: If a transversal intersects two parallel lines, then the following angles are supplementary see the above figure :.
You can sum up the above definitions and theorems with the following simple, concise idea. When you have two parallel lines cut by a transversal, you get four acute angles and four obtuse angles except when you get eight right angles.
All the acute angles are congruent, all the obtuse angles are congruent, and each acute angle is supplementary to each obtuse angle. In short, any two of the eight angles are either congruent or supplementary. Proving that lines are parallel: All these theorems work in reverse. You can use the following theorems to prove that lines are parallel.
Definitions and Theorems of Parallel Lines.How can you prove two lines are actually parallel? As with all things in geometry, wiser, older geometricians have trod this ground before you and have shown the way.
By using a transversal, we create eight angles which will help us. Two lines are parallel if they never meet and are always the same distance apart. Both lines must be coplanar in the same plane.
For example, to say line J I is parallel to line N Xwe write:. If you have ever stood on unused railroad tracks and wondered why they seem to meet at a point far away, you have experienced parallel lines and perspective! If the two rails met, the train could not move forward. Other parallel lines are all around you:.
A line cutting across another line is a transversal. When cutting across parallel lines, the transversal creates eight angles. Create a transversal using any existing pair of parallel lines, by using a straightedge to draw a transversal across the two lines, like this:.
Those eight angles can be sorted out into pairs. Let's label the angles, using letters we have not used already:. Every one of these has a postulate or theorem that can be used to prove the two lines M A and Z E are parallel.Geometry: Section 3.3- Proving Lines are Parallel
Let's go over each of them. The Corresponding Angles Postulate states that parallel lines cut by a transversal yield congruent corresponding angles.
Angle relationships with parallel lines
We want the converse of that, or the same idea the other way around:. To know if we have two corresponding angles that are congruent, we need to know what corresponding angles are.
Each slicing created an intersection. If one angle at one intersection is the same as another angle in the same position in the other intersection, then the two lines must be parallel.
Angles, Parallel Lines, & Transversals
Two angles are corresponding if they are in matching positions in both intersections. Alternate angles as a group subdivide into alternate interior angles and alternate exterior angles. Exterior angles lie outside the open space between the two lines suspected to be parallel. Interior angles lie within that open space between the two questioned lines. Can you identify the four interior angles? Alternate angles appear on either side of the transversal.
They cannot by definition be on the same side of the transversal. Can you find another pair of alternate exterior angles and another pair of alternate interior angles? If just one of our two pairs of alternate exterior angles are equal, then the two lines are parallel, because of the Alternate Exterior Angle Converse Theoremwhich says:.
Angles can be equal or congruent ; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem.
You need only check one pair! Just like the exterior angles, the four interior angles have a theorem and converse of the theorem. Again, you need only check one pair of alternate interior angles!
Supplementary angles create straight lines, so when the transversal cuts across a line, it leaves four supplementary angles. When a transversal cuts across lines suspected of being parallel, you might think it only creates eight supplementary angles, because you doubled the number of lines. Those should have been obvious, but did you catch these four other supplementary angles?
These four pairs are supplementary because the transversal creates identical intersections for both lines only if the lines are parallel.Played 58 times. Print Share Edit Delete.
Live Game Live. Finish Editing. This quiz is incomplete! To play this quiz, please finish editing it. Delete Quiz. Question 1. Which pair of angles must be supplementary so that r is parallel to s?
Which value of x will show that lines l and m are parallel? What value of x proves that line p is parallel to line r? Which value of x will show that line m is parallel to line r? What value of x proves that lines l and m are parallel? Which of the following relationship proves that j is parallel to k? Line v is a transversal. Which is a true statement? Which condition will prove that line l is parallel to line m?
Line l and m are cut by transversal n. Which statement proves that line l is parallel to line m? Are lines j and k skew? Are lines m and n skew? Are lines u and w skew? Quizzes you may like. Proving Parallel Lines. Parallel, Perpendicular, or Neither?? Parallel and Perpendicular Lines. Angles - Parallel Lines Rules! Find a quiz All quizzes. All quizzes.
Create a new quiz. Find a quiz Create a quiz My quizzes Reports Classes new.If two angles are vertical angles, then they are congruent. You learned this as the Vertical Angles Theorem. Can you reverse this statement? The converse of a logical statement is made by reversing the hypothesis and the conclusion in an if-then statement.
In this case, no. There are many examples of congruent angles that are not vertical angles—for example the corners of a square. Sometimes the converse of an if-then statement will also be true. Can you think of an example of a statement in which the converse is true? This lesson explores converses to the postulates and theorems about parallel lines and transversals. Previously you learned that "if two parallel lines are cut by a transversal, the corresponding angles will be congruent.
If corresponding angles are congruent when two lines are crossed by a transversal, then the two lines crossed by the transversal are parallel. Suppose we know that and. What can we conclude about lines and? Notice that and are corresponding angles.
Sincewe can apply the Converse of the Corresponding Angles Postulate and conclude that. You can also use converse statements in combination with more complex logical reasoning to prove whether lines are parallel in real life contexts. The following example shows a use of the contrapositive of the Corresponding Angles Postulate. The three lines in the figure below represent metal bars and a cable supporting a water tower. Are the lines and parallel?
To find out whether lines and are parallel, you must identify the corresponding angles and see if they are congruent. In this diagram, and are corresponding angles because they are formed by the transversal and the two lines crossed by the transversal and they are in the same relative place.
The problem states that and. Thus, they are not congruent. If those two angles are not congruent, the lines are not parallel. In this scenario, the lines and and thus the support bars they represent are NOT parallel. Note that just because two lines may look parallel in the picture that is not enough information to say that the lines are parallel. To prove two lines are parallel you need to look at the angles formed by a transversal.
Another important theorem you derived in the last lesson was that when parallel lines are cut by a transversal, the alternate interior angles formed will be congruent. If two lines are crossed by a transversal and alternate interior angles are congruent, then the lines are parallel. Given and are crossed by and. Notice in the proof that we had to show that the corresponding angles were congruent.
Once we had done that, we satisfied the conditions of the Converse of the Corresponding Angles postulate, and we could use that in the final step to prove that the lines are parallel.When the students arrive, there is a sentence displayed on the board. I collect their homework and ask that they direct their attention to the sentence: If I leave the house, then I must have my cell phone on me.
I ask the students to identify the hypothesis and the conclusion of this conditionalas well as the truth valueand then ask the students to provide a few more examples of conditional statements, for which we again identify the hypotheses and conclusions, and discuss the truth values MP2. Then I introduce the concepts of inverse, converse, and contrapositive using the statement If p, then q. I ask that the students create the inverse, converse and the contrapositive of the cell phone statement I originally gave them, and I raise the issue of the truth values of these statements.
If the original statement is true, do the other statements have to be true? In order to help my students understand the possibilities with regard to truth values, I use a Venn diagram, as I demonstrate in this video. Our ultimate conclusion is that the original statement and the contrapositive will always have the same truth value; the inverse and the converse only sometimes share that truth value.
I really miss this unit my students always seemed to enjoy it! When talking about the isosceles triangle theorems, for example, the use of the word "converse" is really helpful, and serves, I think, to solidify the students' understanding of these theorems. I remind the students that we began our study of angles and parallel lines with this postulate: If two parallel lines are cut by a transversal, the corresponding angles are congruent. I ask them to tell me what the converse of this statement might be, and explain that we will postulate the converse as well.
From this postulate, we then prove the theorem " If two parallel lines are cut by a transversal, the alternate interior angles are congruent. I provide the students with the hand out, Proving Lines are Paralleland work through these proofs with the class.
In the second of the proofs, the students can choose which angles pairs they use in their proof, so that some can use alternate interior angles, while others can use corresponding angles. We discuss both options. In this lesson, I have chosen to do two-column proofs. In future lessons, we will also use flow chart proofs and paragraph proofs. I think it's important for students to be exposed to the different approaches to proof, and believe they should be able to choose the format that is most natural for them.
This line needs to be parallel to the one next to it. How can we use our knowledge of parallel lines to ensure that the two lines will be parallel?
This question leads us into the construction of a line parallel to a given line through a given point. On the back of the sheet the plain side I introduce the students to the construction for copying an angle.
Then we turn to the front of the sheet and I instruct the students on the parallel line construction. When we have completed copying the angle and drawing in the parallel line, I ask the students to tell me what type of angle pair we just constructed and the theorem that we used to guarantee that our lines are parallel.
We now change gears entirely and focus on algebra. With a 90 minute class, I think it's crucial to change activities and focus often.
Otherwise the class could get awfully boring! I announce that we are going to refresh our memories of algebra, and write two equations with two unknowns on the board that can be easily solved using substitution. I ask the students to solve for x and y, and we discuss their answers and their approach. We discuss this method, and I give the students several problems to work through. Now it's time to apply our algebra skills to parallel lines.In this lesson we are going to take the theorems that we learned from the past few lessons, and we are going to use them to prove that two lines are parallel.
We learned, from the corresponding angles postulate, that if the lines are parallel, then the corresponding angles are congruent. If the lines are the parallel lines that are cut by a transversal, then the corresponding angles are congruent.
We'll use these and some others in our proofs. Get immediate access to our entire library. Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture. We are actually going to take the theorems that we learned from the past few lessons, and we are going to use them to prove that two lines are parallel.
We learned, from the Corresponding Angles Postulate, that if the lines are parallel, then the corresponding angles are congruent. Now, this one is saying, "If the two lines in a plane are cut by a transversal, and corresponding angles are congruent, then the lines are parallel.
So, it is using the converse of that postulate that we learned a couple of lessons ago. Before, when we used that postulate, it was given that the lines were parallel; and then you would have to show But for this one, they are giving you that the corresponding angles are congruent. And then, the conclusion, "the lines are parallel," is what you are going to be proving. This first postulate: if you look at angles 1 and 2, those are corresponding angles.
So, if I tell you that angle 1 and angle 2 are congruent, and they are corresponding angles, then the lines are parallel. As long as these two angles are congruent, then these lines are parallel; so I can conclude that these lines are parallel. Now, again, for them to be corresponding angles, the lines don't have to be parallel. Even if the lines are not parallel, they are still considered corresponding angles. But now, we know that, as long as the corresponding angles are congruent, then the lines will be parallel.
The next postulate: If two lines in a plane are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel.
The alternate exterior angles theorem said that, if two lines are parallel, then alternate exterior angles are congruent. This is the converse; so they are giving you that alternate exterior angles are congruent; then, the lines are parallel.


This page is meant as a quck over-view of current market conditions. We focus on a
few main valuation techniques and compare them to historical trends. It is important to remember
that historical trends may not continue into the future. This is simply meant to be educational and
help you make your investment decisions. Using our models we currently believe the market is
We look at 4 separate valuation methods and value them based on historical averages.
To do that we calculate a base line from their mean (average) over a long time period.
We then calculate the standard deviation for them. Anything above a standard deviation of 1 we consider
Also known as the P/E 10 Ratio, or Shiller Ratio.
10 year treasury bonds relative to S&P 500 value.
Also known as the Buffett Indicator.
The CAPE Ratio (Cyclically Adjusted Price to Earnings) is also known as the Shiller P/E Ratio (after Robert Shiller) or the PE 10 ratio. It is the inflation adjusted earnings over a 10 year period. For more information about the P/E ratio, inlcuding the CAPE Ratio, check out our blog post.
The current 10-year P/E Ratio is 38.23. The historical average since 1940 is 18.94.
This means it is currently 101.9% higher (or 2.44 standard deviations) above the 80 year average, which
suggests the market is currently
The current 10-year treasury bond is at 1.55%. This is much lower then the average since 1940 of 5.11%, although with inflation raising
to higher levels, it wouldn't be surprising to see interest rates go up.
This means the 10 year treasury bond is currently 1.22 standard deviations below mean. Let's compare
that to the S&P 500 to get a relative valuation.
On the other hand, the S&P 500 has had the greatest bull run ever over the last 10 years. We use an exponential trendline
to show the compounding returns year over
And here is a chart with the S&P 500 detrended from our exponential trendline. This allows
us to view and compare the highs and lows better, and makes it easier to view the standard deviations.
As you can see it is currently 1.91 Standard deviations above trend, which would suggest
the market is
The 'Buffett Indicator' famously got it's name from when legendary investor Warren Buffett called it 'probably the best single measure of where valuations stand at any given moment'. The Buffett indicator compares the total US market capitalization (using the Wilshire 5000 index) to US GDP. The theory is when market returns are far exceeding GDP growth, eventually market returns will slow.
The Buffett Indicator has seemingly been trending upwards since 1995, which some argue is due to the GDP not capturing all overseas profits from US companies. Kathy Wood (ARK Investing) also recently mentioned in a tweet to Elon Musk that technology and innovation have increased productivity, thus driving down prices and fueling demand.
We really don't know if this is a long term trend or if it will eventually revert back to normal. Our model will continue to get more accurate as it gets more and more data.
For our Buffett Indicator model we have tried to take into account the upward trend by including a slightly exponential trendline. We then detrend the historical Market Cap to GDP ratio to our trendline so we can see how it compares in the present day to historical values.
Our first chart shows the historic ratio with our exponential trend line. As shown, the current ratio is 219%.
Comparing this to our exponential trendline, which suggests a Market Cap to GDP ratio of ~132% would be fairly valued.
Our next chart shows the ratio detrended from our exponential trendline.
As shown in the graph, the current Buffett Indicator is 219%, about 87.8% higher than the 131.82% the exponential trendline suggests is fair value. This would suggest the market is very overvalued. In comparison, at the peak of the dot com bubble it was 76% higher (2.73 standard deviations). And at the bottom of the housing crash in 2009, it got as low as -37% (1.33 standard deviations).
For this calculation we use the Wilshire 5000 index, the total GDP, and the estimated current quarter GDP. We multiply the Wilshire index by 1.15 (a single point represents 1.15 billion of index market value), then divide by the GDP. This gives us our Market Cap to GDP.
Some people believe an inverted yield curve is one of the best indicators of a upcoming recession. History would
tend to agree with them. An inverted yield curve has preceded the last 7 recessions
Before the 2008 crash, yields were inverted starting in 2006. Again in 1998 and April of 2000, before the dotcom crash, the yield curve inverted. Most recently, in 2020, the yield curve again inverted on Febuary 25th, just before the market crashed in March. The Federal reserve then walked back interest rate increases.
Here is a chart showing the historic treasury yield spread between the 10 year and 3 month yield. When the spread is negative, the yield curve is inverted.
And here is a chart showing the current yield curve, as of November 27th, 2021.
The current yield curve is not inverted. As shown, treasuries with a longer maturity have a higher return, as would be expected under normal circumstances. There is currently a 1.42% spread between the 3 month yield and the 10 year yield.
|Historical prices of Whilshire 5000 Index for the Market Cap to GDP Ratio.
|Historic GDP data for the Market Cap to GDP Ratio.
|Estimate of the current quarter GDP for the Market Cap to GDP Ratio.
|Robert Shiller, Cape Ratio, S&P Historic Prices, 10 Year Treasury Yields.


How can I calculate accuracy?
A low coefficient of variation (CV = SD / mean) implies good accuracy. Always compare the variation in accuracy vs. the variation of the measured population.
Accuracy is a measure of how well an indirect method (such as the Mid-IR) is compared to a reference method (or against the “true value”). Analytical accuracy can be specified with standard statistical measurements. Two different examples:
Calculation of the difference between HMA and the reference method. D = x – y
Mean value of the differences, D = ƩD / n
Standard deviation (SD) of the differences (D = x – y) between HMA (y) and reference (x)
SD = Ʃ(D2 – (ƩD/n)2) / n – 1
Yi = a + bXi + ei
Yi = dependent variable (reference method)
a = intercept (or bias)
b = slope
Xi = independent variable (HMA)
ei = variance of linearity (accuracy)
How can I calculate repeatability?
The intra-assay variation can be calculated in different ways. It is similar to precision or repeatability. Double measurements of n different samples gives the possibility to calculate the within variation using an analysis of variance (ANOVA) model.
The estimated within variation gives the methods intra-assay variation (precision, repeatability). These statistical models will be found in most statistical books. You can also calculate the intra-assay variation by calculating the variance of difference between measurement 1 and 2. In ISO 8196-1:2000 a simplified equation is given how to calculate the standard deviation of the difference between double measurements of different samples.
Why doesn’t the instrument show exactly the same values every time?
Milk is a very sensitive fluid and the value may change a little bit over time if you keep it standing in water bath. Milk is not a true solution, it is an emulsion (a mixture of liquids that normally does not mix easily, such as water and oil) and therefore every small sample drawn from a bottle will differ a little bit. You also have to keep in mind that there is a natural variation when analysing as there are a lot of factors that affect the result (both Mid-IR instrument and sample factors). As long as the result is within the specification you don’t have to worry about small differences.
What is the measurement range for each parameter?
Fat 0.6 - 5.9 [g/100ml]
Crude protein 0.8 - 3 [g/100ml]
True Protein 0.6 – 2.4 g/100 ml
Carbohydrate 4-8 [g/100ml]
How do I know if the instrument displays correct values?
Miris declares the following measurement performance:
Precision: fat ± 12%; crude protein, true protein, carbohydrate ± 15%
Repeatability: fat, crude protein, true protein ≤0.05 g/100ml; carbohydrate ≤0.08 g/100ml
This is validated for each instrument individually during the production process.


The Gaussian Channel
Parallel Gaussian channels
Parallel Gaussian channels are used to model bandlimited channels with a non-flat frequency response. We assume we have
and the channels are independent. The total power used is constrained:
One question we might ask is: how do we distribute the power across the k channels to get maximum throughput.
We can find the maximum mutual information (the information channel capacity) as
Equality is obtained when the X s are independent normally distributed. We want to distribute the power available among the various channels, subject to not exceeding the power constraint:
with a side constraint (not shown) that . Differential w.r.t. P j to obtain
with equality only if all the constraints are inactive. After some fiddling, we obtain
(since λ is a constant). However, we must also have , so we must ensure that we don't violate that if . Thus, we let
and is chosen so that
Draw picture; explain "water filling.''


How To Play:
- It's just like clock solitaire, but the numbers in the times table go at each clock position
- For example, in the 3x table, 3 goes at one o'clock, 6 goes at two o'clock, 9 goes at 3 o'clock, etc.
- Slide the card with the white outline to the correct clock position. If you are right, the next card will flip over, ready to be moved to its place
- If a card comes up already in the right place, you can slide it or just tap it
- Jokers (clock faces) go in the middle
- There are 52 cards, just like an ordinary deck of cards - four of each card. When you get the fourth joker, the game is over
- If all the cards are in place by then, you win!
Learning Times Tables:
After only a few games of a particular times table, players very quickly associate the number with the spatial position, making recall of the facts simple – for 3x7, they only need to think what card went at seven o’clock, or for 21 divided by 3, they just need to think where the ‘21’ card went.
It helps memory if players play one table repeatedly, saying the numbers, and then trying to recall them by writing them or visualising them in the clock shape.


Solution Manual A first course in the Finite Element Method (5th Edition) By Daryl L. Logan, Solution Manual A first course in the Finite Element Method P chegg study better than a printed a first course in the finite element method 5th edition student solution manual from the bookstore our interactive player makes it easy to find solutions the Get this from a library! Solutions manual: Introduction to finite elements in engineering. [Tirupathi R Chandrupatla; Ashok D Belegundu These finite element programs are part of My personal wish is that these exercise solutions will help in learning finite element procedures so that you will Introduction to Finite Element Methods (ASEN 5007) Fall 2017 HW# 2 Solutions posted Chapter 6 Index.
Finite Element Modeling: Introduction. Chapter 7 Index. Solutions manual to accompany A First course in the finite element method [Daryl L Logan on Amazon. com. FREE shipping on qualifying offers. An introduction to the finite element method 3rd ed. (J N Reddy) 1. SOLUTIONS MANUAL for An Introduction to The Finite Element Method (Third Edition) by J. N. REDDY Department of Mechanical Get instant access to our stepbystep A First Course In The Finite Element Method solutions manual.
Our solution manuals are written by Chegg experts Instant download and all chapters Solution Manual A First Course in the Finite Element Method 5th Edition Logan View Free Sample: Solution Manual A First Course in the Finite Element Method 5th Aug 21, 2015 Solution Manual for Switching and Finite in switching finite automata theory solution manual finite element method logan.
SOLUTIONS Solution Manual for Finite Element Analysis Moaveni Download as PDF File (. pdf), Text File (. txt) or read online. Solutions This solution manual is prepared to aid the instructor in discussing the solutions An Introduction to the Finite Element Method, Third Edition, McGrawHill,


Leader: prof. RNDr. Jana Musilová, CSc.
Activities of the group are focused on the development and applications of mathematical areas needed for the research in theoretical physics.
- variational methods in mechanics and field theory
- non-holonomic structures
- applications of variational methods in non-holonomic mechanics
- differential manifolds
- differential forms, differential and integral calculus on manifolds
- Lie groups, Lie algebras and their applications in Physics
- graphical representation of physical quantities in space and time
Michael Krbek, Jana Musilová, Pavla Musilová


Sandy Bartle Finocchi
Title: Carnegie Learning Math Series Course 1, Student Text, Volume 1, 9781609725846, 1609725840, 2016
Book Condition: Used: Very Good
Publisher:  Carnegie Learning 2016-01-01
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MULTIPLE COPIES AVAILABLE!! Carnegie Learning: Math Series - Course 1, Student Text, Volume 1 [Softcover]. Copyright-2016, ISBN:9781609725846. These consumable books are in VERY GOOD condition with clean interior pages that are fully intact, and only MINOR wear to the exterior covers! We ship daily, Mon-Sat. Customer service is always our top priority!


Calculate all expenses when buying a new car
Thinking about buying a new car? Then you'll find this Excel workbook really helpful!
With Auto Loan Calculator you can easily plan your next car purchase, taking into account every single detail. You'll be able to calculate the amount you need to finance, as well as all the taxes, charges and fees that sum up to the final amount you have to pay.
Auto Loan Calculator includes three different worksheets: the Auto Loan Calculator, in which you can calculate the exact amount of money you'll need to request; the Payment Calculator, where you can create an amortization table based on the loan amount, annual interest rate and frequency of payment; and finally the Loan Comparison, which takes the data from the Payment Calculator and creates a graph with different interest rates, number of payments and other details.
Auto Loan Calculator is not a program in itself, but just an XSL file you can open and edit in Excel. While this has certain advantages (it doesn't require installation, nor does it modify anything on your system) it also has certain disadvantages, like needing some basic Excel knowledge and having to enter all the information by hand.
With Auto Loan Calculator you can easily plan your next car purchase.


As published on MSN
What makes it Pi Day, and why should you care? Today’s date is 3.14 — the same digits used to estimate π, the ratio of the circumference of a circle to its diameter. Wait, don’t get sleepy yet. We know you may not have thought of that Greek symbol since a geometry teacher taught the meaning of πr2.
In case you were cutting class that day, πr2 is the formula for calculating the area of a circle: multiply pi (π) by the square of the radius (r2). It’s right around this time that the geometry teacher would make a joke about pies not being square, causing you to concentrate instead on some gum stuck under your desk, or whether you can make the kid in front of you scratch his head by staring really hard at one spot.
But pi really is interesting as far as numbers go, however far that may be. It’s an irrational number, meaning that it continues infinitely without repeating, a quality human minds find not only irrational but irritating. You can see the first one million decimal places on this webpage, which in itself is a little irritating since a million digits take a long time to load.
Because an infinite number is literally beyond our comprehension, pi and some other irrational numbers may also be referred to as transcendental — lending the numerology of pi a nearly spiritual or religious quality. And like religious zealots, it tends to go on forever. Even more closely paralleling religion, pi’s inherent problems have yet to be solved by even the most dogged logic. In 2010, a Japanese-American duo calculated pi to the five trillionth decimal place using a computer system that cost $18,000 (must’ve been an Apple).
You might quite reasonably be wondering who, after all, needs to know the last digit in pi or even how to calculate the area of a circle. Well, certainly anyone who spends $18,000 on a computer should get his money’s worth. The area of a circle would be useful to know if, say, you needed to protect a round swimming pool for the winter and planned to knit your own cover. If you were going to put a layer of M&M’s on top of a pie, you could calculate the area of a single M&M, then calculate the area of the pie surface and divide it by the area of one M&M to determine how many pieces of candy you would need, though it should be noted that M&M’s are really better on cake. Or, more practically speaking, perhaps an alien has drawn crop circles in your cornfield and you’re wondering how much corn is totally ruined.
See? Math is fun. You never should have cut class.


It is a well-known Truth that online poker websites use algorithms to control the random generation of poker hands. That fact has caused many players to question the veracity and accuracy of authentic statistical chances in Texas holder websites. But, there are ways to beat the poker algorithms as this guide will reveal. Some will wonder why the worst hand triumphs on online poker, particularly after receiving a bad defeat. However, the truth is not that the worst poker hands wins, the reality is that the online-poker algorithms are intended to create a deterministic result based on normalized chances.
What that essentially means is that the statistical standards for any poker hand must be kept in order for the game to seem fair. For instance in a 7 card game such as Texas Hold’Em 2 hole cards and 5 cards on the neighbourhood board, there are a total of 133,784,560 possible combinations which can be made. Although holder only employs the top 5 cards, 7 cards can be found to constitute the best 5 card hand. As a result, the statistical probabilities are derived from all 7 cards. Of the 133,784,560 mixes, a flush will statistically be dealt out 4,047,644 times, or 3.025494percent of the time. Therefore, to be able to appear arbitrary, the internet poker algorithms will make sure that across all poker tables with time, a flush will surely 3.025494percent of the time. Notwithstanding the fact that the flush might actually happen 20 or even 30 times consecutively in your own poker table, so long as the long-term statistical chances are preserved.
Poker Bad Beats
For this reason, you may witness too many sickouts in online poker and even become a casualty of a bad beat. The simple fact is that true randomness is unattainable in a computer generated game like online-poker and extra poker algorithms have been put in place to keep an air of ethics and randomness. Even though it is unfair that poker websites are using these poker codes to make the game seem fair and then create a great number of bad beats, there is a solution which lets you do something about it and read more here http://126.96.36.199/. That solution is to learn how the Internet Poker algorithms work and how it is possible to potentially prevent a poker bad beat. As the poker website must maintain statistically normalized chances using algorithms, you can use the very same odds to avoid losing.
Math and Poker Algorithms
By taking a mathematical approach to the online poker game, you can beat the computer generated poker hands and finally become a much better player. The issue is in the poker algorithms and the remedy is in understanding how they work.


Peta-FlopA petaflop is a measure of a computer’s processing speed and can be expressed as a thousand trillion floating point operations per second. FLOPS are floating-point operations per second. Floating-point is considered to be a method of encoding real numbers within the limits of finite precision available on computers.
Using floating-point encoding, extremely long numbers can be handled relatively easily. A floating-point number is expressed as a basic number, an exponent, and a number base which is usually ten but may also be 2.
Petaflop ArrivalTo get a perspective on how far we are from a petaflop machine (1 quadrillion mathematical computations per second), the world’s fastest supercomputer today, the Blue Gene Supercomputer in Livermore, California, has a top speed of 360 trillion operations a second. Scientists predict we will see a petaflop computer by the year 2010, others claim it could be as early as 2006.
Petaflop RaceJapan’s Earth Simulator supercomputer shocked Washington a few years ago and many believed that the United States could lose its lead in many areas, just as it did in climate science. The Earth Simulator Center reportedly negotiated deals with Japanese automakers to use time on the world’s fastest computer to boost their quality and productivity; that’s when the race became heated! IBM developed the Blue Gene computer in 2004 which may not hold the lead if reports are accurate; Its said that Japan is working on a petaflop computer that can operate 10 quadrillion calculations per second (10 petaflops). This petaflop computer would be over 70 times as fast as the Blue Gene and could run $750 million dollars.
- PETAFLOP is expressed as a thousand trillion operations per second.A petaflop computer is expect in 2006.
- Blue Gene The world’s fastest computer (getting close to petaflop speed) is IBM’s Blue Gene with a top speed of 360 trillion operations a second.IBM and its petaflop partners are exploring a growing list of applications including hydrodynamics, molecular dynamics, quantum chemistry, climate modeling and financial modeling.
- Earth Simulator The world’s fastest computer was the Earth Simulator in Yokohama, Japan.It had a top speed of 40 trillion operations a second.


This program will provide a structured experience that enhances learning. Emphasis is given to activities that encourage early reading, math and school readiness.
Because many patrons register their children for programs and don't attend and/or cancel less than 48 hours in advance, it is preventing other children from attending. If you cancel less than 48 hours in advance and/or don't attend two (2) times, your child will be withdrawn from the next program for which they are registered. You will also not be able to sign your child up for the next newsletter's programs.


Math Extra Credit.
Generally you will not find too much extra credit listed for math. However, occasionally there are times when an opportunity arises that offers a challenging and fun opportunity to apply the math we learned in class.
See links below for some of those opportunities. In addition, if you have an assignment that you would like to offer up as extra credit I would be open to hearing what you have and possibly give you and/or the class the opportunity to complete it. If you attempt an extra credit please use title given and also the assignment's point value.
Extra Credit Assignments:
NOTE: "Where Dreams Comes True" REQUIRES you to send me a "program (expression)" written in Excel that can account for "any" possible situation. This is in no way an easy assignment and should only be attempted by those that truly understand how to write expressions and equations for different situations. You should also know Excel or have someone help you with Excel.


The mathematics core needs to be successfully completed. It is an area of mathematics that is being increasingly grademiners.com/coursework-help used. Mathematics has an indispensable role in answering all of these questions.
In this instance, it’s obvious because we’ve already shown t is true. It is possible to make various types of truth tables, a few of which will be shown inside this lesson. The printing number are available at the bottom of the webpage on the opposite side of the title page.
Instead, the true number line must be discretized to represent just a number of those. Don’t worry, you wish to acquire a high level idea that you ought to have the ability to explain. You ought not presume your mean will be one of your first numbers.
1 specific situation where the should cater to the requirements of someone student is in math class. At the same time, you will probably be finishing off the math classes. Each class incorporates several hands-on exercises.
At length, an efficient program may benefit from how any potential factor q must be prime. The bulk of the moment, you won’t perform actual probability difficulties, but you’ll use subjective probability to create judgment calls and determine https://www.aims.edu/student/online-writing-lab/overview/why the best plan of action. Specifically, the very first and second approaches are often utilised in combination due to the recent limitations of ensemble predictions.
A set is an unordered group of distinct elements. Only 11 players may play in any specific match. Let’s stick with the easy stuff to begin.
All About What Is Discrete Math
There are a lot of reasons why the mathematics is essential for machine learning. 1 way is to educate our children and students about common math myths. Hence, if your list is not likely to change, you ought to use tuples, rather than lists.
In reality, Stanford’s encyclopedia entry on set theory is a fantastic place to begin. Only 11 players may play in any specific match. Let’s stick with the easy stuff to start.
During the talk, mute your regional sound (except when you desire to ask a question) and turn off the local camera. The very first thing that you ought to do is to try and locate facts that are about the problem available. As soon as you determine the principal components and understand them, the following thing you could do is to look at the problem from several angles and seek contacts with previously acquired knowledge.
Probability forecasts are made by way of an array of national weather services around the world along with the private sector. The date an article was initially made available online is going to be carried over. You shouldn’t be looking up hw solutions on the web.
Collaboration, thus, is an important portion of the class. Discrete mathematics can play an important part inside this connection. Logic is using reasoning principles.
The Fundamentals of What Is Discrete Math Revealed
Added benefits of Probability Forecasts Because significant parts of the economy are weather-sensitive, greater dissemination and usage of probability forecasts could create massive advantages. You might get the data here. They offer numerous advantages over non-probabilistic forecasts.
You should learn discrete mathematics since it is an essential mathematical subject for your preferred career field like computer science or electrical engineering. What’s the most suitable means to learn math. It is really important, and you should work hard at it.
The Hidden Gem of What Is Discrete Math
Otherwise, it’s called a disconnected graph. Otherwise it is known as a disconnected graph. The graph with just 1 vertex and no edges is known as the trivial graph.
The procedure will require examples on the portion of the teacher. Now the right selection of learning is currently handy that’s online tutoring. It is writing a persuasive essay intended for a wide selection of students.
What Is Discrete Math – Dead or Alive?
Discrete objects can frequently be counted using integers. In the event the graphs are infinite, that’s usually specifically stated. A graph with just vertices and no edges is called an edgeless graph.
Let’s look at some of these. Let’s stick with the simple stuff to start. Let’s stick with the easy stuff to begin.


With over 80 reviews this game gets a 5 star rating in Amazon. Some customers have said that it is the best gift for Christmas and kids birthdays. So join in some swampy adventure with addition and subtraction games like Sum Swamp. It’s a math board game to sharpen addition subtraction skills with crocodiles!
Math becomes an adventure with addition and subtraction games that take kids on a journey through Sum Swamp. They’ll make their way over the crocodile shortcut and through the endless loop by adding and subtracting the numbers on the dice. Includes 12″ x 17″ game board, four swamp critter markers, two number dice and operation die. For 2-4 players.
Kids will have a terrific time learning math skills as they avoid the hilarious pitfalls of the Sum Swamp. Designed for two to four players, this game is sure to develop and sharpen beginning math skills, because the only way to escape the mire is to roll the dice and add and subtract your way around the board. If you’re lucky, you’ll be able to take the Crocodile Short Cut, although sooner or later everyone gets caught in the Endless Loop. Landing on special squares, such as Even or Odds or a number space, makes things even more interesting; you could get stuck for quite a while. The best part is that this is a game that grows with your kids. Children 5 to 6 will find it a learning challenge, and older kids can play for fun.
This game is an Oppenheim Best Toy award winner. –Marianne Painter
- Math becomes an adventure
- Takes kids on a journey through the Sum Swamp
- Endless loop of adding and subtracting
- Make your way over the crocodile shortcut
- For 2-4 players
- Sum Swamp Addition and Subtraction Game
- Math Board Games
- A Fantastic Family Game
Games are a super way to bond with your children and to include other family and friends. They encourage involvement and learning which is a win win for all! The Poogies Store offers many more gift ideas for girls of all ages so take a gander today. Thanks for visiting!
Below are some resources The Poogies Store thought you might find helpful.
Free Activities For Children
Craft Ideas For Kids


Model de tranzacționare caantitativ, Analiza fundamentala: cantitativa sau calitativa
- Etapele de parcurs de către un solicitant în procesul de înregistrare ca participant la Piaţa centralizată a contractelor bilaterale de energie electrică - modalitatea de tranzacţionare a contractelor prin licitație extinsă: 1.
- Model de analiză a corelaţiei dintre masa monetară şi tranzacţiile pe piaţă
- Salariul mediu Un analist cantitativ este un profesionist care folosește metode cantitative pentru a ajuta companiile să ia decizii de afaceri și financiare.
- Opțiuni binare opton roșu
Quantitative analysts often come from financial mathematicsfinancial engineeringapplied mathematicsphysics or engineering backgrounds, and quantitative analysis is a major source of employment for people model de tranzacționare caantitativ mathematics and physics PhD degreesor with financial mathematics master's degrees. Data science and machine learning analysis and modelling methods are being increasingly employed in portfolio performance and portfolio risk modelling,   and as model de tranzacționare caantitativ data science and machine learning Master's graduates are also hired as quantitative analysts.
In particular, Master's degrees in mathematical finance, financial engineering, operations researchcomputational statisticsapplied mathematicsmachine learningand financial analysis are becoming more popular with students and with employers. See Master of Quantitative Finance for general discussion. This has in parallel led to a resurgence in demand for actuarial qualifications, as well as commercial certifications such as the CQF.
The more general Master of Finance and Master of Financial Economics increasingly includes a significant technical component. This section does not cite any sources.
Selectia actiunilor pe baza analizei fundamentale
Please help improve this section by adding citations to reliable sources. Unsourced material may be challenged and removed.
June Learn how and when to remove this template message Front office quantitative analyst[ edit ] In sales and trading, quantitative analysts work to determine prices, manage risk, and identify profitable opportunities.
Historically this was a distinct activity from trading but the boundary between a desk quantitative analyst and a quantitative trader is increasingly blurred, and it is now difficult to enter trading as a profession without at least some quantitative analysis education. In the field of algorithmic trading it has reached the point where there is little model de tranzacționare caantitativ difference.
Analist cantitativ: Descrierea postului și salariul mediu - - Talkin go money
Front office work favours a higher speed to quality ratio, with a greater emphasis on solutions to specific problems than detailed modeling. FOQs typically are significantly better paid than those in back office, risk, and model validation.
Although highly skilled analysts, FOQs frequently lack software engineering experience or formal training, and bound by time constraints and business pressures, tactical solutions are often adopted. Quantitative investment management[ edit ] Quantitative analysis is used extensively by asset managers. Some, such as FQ, AQR or Barclays, rely almost exclusively on quantitative strategies while others, such as Pimco, Blackrock or Citadel use a mix of quantitative and fundamental methods. See quantitative fund generally, and Outline of finance § Quantitative investing for a listing of relevant articles.
Library quantitative analysis[ edit ] Major firms invest large sums in an model de tranzacționare caantitativ to produce standard methods of evaluating prices and risk.
Model de tranzacționare caantitativ spend more time modeling ensuring the analytics are both efficient and correct, though there is tension between LQs and FOQs on the validity of their results. LQs are required to understand techniques such as Monte Carlo methods and finite difference methodsas well as the nature of the products being modeled. Algorithmic trading quantitative analyst[ edit ] Often the highest paid form of Quant, ATQs make use of methods taken from signal processinggame theorygambling Kelly criterionmarket microstructureeconometricsand time series analysis.
Algorithmic trading includes statistical arbitragebut includes techniques largely based upon speed of response, to the extent that some ATQs modify hardware and Linux kernels to achieve ultra low latency. Risk management[ edit ] This has grown in importance in model de tranzacționare caantitativ years, as the credit crisis exposed holes in the mechanisms used to ensure that positions were correctly hedged, though in no bank does the pay in risk approach that in front office.
A core technique is value at riskand this is backed up with various forms model de tranzacționare caantitativ stress test financialeconomic capital analysis and direct analysis of the positions and models used by various bank's divisions. Innovation[ edit ] In the aftermath of the financial crisis, there surfaced the recognition that quantitative valuation methods were generally too narrow in their approach. An agreed upon fix adopted by numerous financial institutions has model de tranzacționare caantitativ to improve collaboration.
Model validation[ edit ] Model validation MV takes the models and methods developed by front office, library, and modeling quantitative analysts and determines their validity and correctness. The MV group cum să faci bani care sunt ideile well be seen as a superset of the quantitative operations in a financial institution, since it must deal with new and advanced models and trading techniques from across the firm.
Before the crisis however, the pay structure in all firms was such that MV groups struggle to attract and retain adequate staff, often with talented quantitative analysts leaving at the first opportunity.
This gravely impacted corporate ability to manage model risk, or to ensure that the positions being held were correctly model de tranzacționare caantitativ. An MV quantitative analyst would typically earn a fraction of quantitative analysts in other groups with similar length of model de tranzacționare caantitativ.
In the years following the crisis, this has changed.
Forex Analiza Tehnica & Fundamentala - EURUSD (Ianuarie 2021).
Regulators now typically talk directly to the quants in the middle office such as the model validators, and since profits highly depend on the regulatory infrastructure, model validation has gained in weight and importance with respect to the quants in the front office.
Quantitative developer[ edit ] Quantitative developers, sometimes called quantitative software engineers, or quantitative engineers, are computer specialists that assist, implement and maintain the quantitative models.
They tend to be highly specialised language technicians model de tranzacționare caantitativ bridge the gap between software engineers and quantitative analysts. The term is also sometimes used outside the finance industry to refer to those working at the intersection of software engineering and quantitative research.
Analiști cantitative din Front Office
Mathematical and statistical approaches[ edit ] Further information: Mathematical financeFinancial modeling § Quantitative financeOutline of finance § Mathematical toolsand Financial economics § Derivative pricing Because of their backgrounds, quantitative analysts draw from various forms of mathematics: statistics and probabilitycalculus centered around partial differential equationslinear algebradiscrete mathematicsand econometrics.
Some on the buy side may use machine learning. The majority of quantitative analysts have received little formal education in mainstream economics, and often apply a mindset drawn from the physical sciences. Quants use mathematical skills learned from diverse fields such as computer science, physics and engineering. These skills include but are not limited to advanced statistics, linear algebra and partial differential equations as well as solutions to these based upon numerical analysis.
- Tradeville » Educaţie » Analiza fundamentala Analiza fundamentala Acest tip de abordare consta in selectarea actiunilor pe baza informatiilor privind situatiile financiare ale companiei, domeniul in care activeaza, situarea pretului in raport cu diferite repere care tin de companie si de piata in ansamblul sau.
- OPCOM: Tranzactii produse
- În altă ordine de idei, între tranzacțiile de piață sau tranzacțiile realizate fie de o firmă, fie de un concern, fie de o multinațională sau de economia unei țări și masa monetară trebuie să se asigure această concordanță.
- Bitcoins nu sunt confirmate
Commonly used numerical methods are:.


Getting the Best What Is Elimination in Math
They might be individually varied to create unique sets of Addition troubles. Elimination is possibly the most powerful strategy for answering multiple option. Examples of chaotic behavior will be presented.
This informative article explains a number of those relationships. After you pay a visit to the A version, you are going to be in a position to find any other versions which exist. This list is largely restricted to non-alphanumeric characters. Thanks for the use of this page.
What Is Elimination in Math – Is it a Scam?
The number connected to the variable does not need to be the exact same. In this manner, you eliminate one variable so you may solve for the other variable. On this case we’ll go right into the row reduction, and thus, the very first matrix you will notice on this approach is the one that you obtain by transcribing the system of linear equations into an augmented matrix. This step can be accomplished by multiplying the very first row by 2 and adding the subsequent row to the second row. We’ll observe this row operations are accomplished by multiplying by invertible matrix, so we’ve got equivalent systems by doing this. The procedure for row reduction uses elementary row operations, and can be broken into two parts.
The element in the very first row of the very first column is 1, which differs from zero and then, it’s employed as a pivot. The end result is 0 iff a number of the diagonal entries are 0. This can be accomplished by subtracting the exact first row from the second row. It’s feasible for the Championship finals to be set by only a single match in the event the W Bracket winner defeats the L Bracket winner. 211664249Divide the very first row by 2.
Want to Know More About What Is Elimination in Math?
In addition, this is known as triangular form. Now, we’ve got a carbocation formed.
But then that is a contradiction. A whole lot of them know they have an inclination to rush through steps, and employing the flowchart makes that very challenging to do. In the very first practice question, you’re provided a pair of algebraic equations which you can solve with simple elimination. And be sure you understand just precisely what the challenge is in fact asking for. You can also locate solution for each difficulties with detailed explanation.
We’ll now talk about the issue at each step. With some time and effort, you’re in a position to produce your very own curated selection of learning resource based on your own personal need and level of comfort. If that’s the scenario, it is a misleading option that’s trying to trick you into picking out the incorrect answer. For each question, regardless of what type, eliminating obviously incorrect answers narrows the potential choices.
Facts, Fiction and What Is Elimination in Math
I thank you very much since you’ve visited this site. thesis writing service Don’t be worried if you would have used completely different measures. This previous step will create a reduced echelon form of the matrix which then provides the overall way to solve the system of linear equations. Solve the following system utilizing addition.
To repair this matter, ThunderCracker produced a super-weird solution. To do that, they will need to observe the RELATIONSHIP between different quantities in the issue. This lets us represent the entire system in only one equation! These problems will require that you address systems of equations.
The point is that, within this format, the system is easy to fix. Now let’s see the way to use the elimination method to address this dilemma. Thus, the system does not have any solution. These large systems are usually solved using iterative techniques.
The Lost Secret of What Is Elimination in Math
It is all dependent on the expression. That expression is subsequently substituted in the other equation for the variable. Second-order elimination is called the E2 reaction.
However, here on account of the parentheses, the subtraction is going to be solved first. At this pKa, it’s impossible to get rid of a hydrogen from an alkane. Don’t neglect to negate the determinant if you’ll want to swap rows. You would have to get started juggling equations.
The symbol is known as the existential quantifier. Since you can see, we got the identical answer no matter which equation we use. Substituting the conditions of a statement creates a new statement.
The Foolproof What Is Elimination in Math Strategy
Understanding how to calculate proportions is a fundamental portion of our day-to-day lives! This calendar year, I have resolved to share my lessons with you! If you want to opt Science stream in upper classes then you’ve got to clear all the concept and doubts. When they finish, I’ll ask the class to analyze their work to find out if the students arrived at the exact answer. The greatest aim of our site is to provide the best method to learn mathematics. Some people wouldn’t be able accept that the subject Math is straightforward.
In math and in real life, when you’re working with decimal numbers, you will encounter an expression you may simplify. De Morgan’s laws stay valid within this Heyting algebra. Richardson’s theorem implies you maynot (for instance, higher school algebra manipulations are insufficient to acquire all equivalences, so significant school classes give entirely the incorrect impression). To solve subtraction word problems, kids need to have reading and comprehension skills alongside subtraction abilities. There are plenty of sorts of symbols we’ll utilize. Use this fact to finish the next exercises.


As we all know, the next Olympic Games will be held in Beijing in 2008. So the year 2008 seems a little special somehow. You are looking forward to it, too, aren't you? Unfortunately there still are months to go. Take it easy. Luckily you meet me. I have a problem for you to solve. Enjoy your time.
Now given a positive integer N, get the sum S of all positive integer divisors of 2008N. Oh no, the result may be much larger than you can think. But it is OK to determine the rest of the division of S by K. The result is kept as M.
Pay attention! M is not the answer we want. If you can get 2008M, that will be wonderful. If it is larger than K, leave it modulo K to the output. See the example for N = 1，K = 10000: The positive integer divisors of 20081 are 1、2、4、8、251、502、1004、2008，S = 3780, M = 3780, 2008M % K = 5776.


What Is A Square Root?
Mathematics in its easiest form, a number’s square, has got something to do with trigonometry and algebra. Of course, that is just one part of the math.
There are which you have to learn when mastering mathematics: cases, surgeries, and exponents. By way of example, the square of the number usually means that the sum of their sides. It doesn’t have anything todo with the sq of any number.
One of the things which you can do is a number’s square. You don’t need a calculator or a graphing calculator to do that, however you’re going to need to be familiar with particular formula. For example, the square of the number could possibly be composed as only times just 2. If you wish to understand how many areas that are a facet of the triangle and have a tiny trigonometry knowledge you can make utilize of the right-hand-side of this formulation over.
By first working with a small number of amounts the best way is always to clinic it. You also may discover if the amount you have readily available would be a repeating pattern of zeros and ones that this is easy. Just before you move to high amounts by starting with a number of examples, you will exercise your knowledge of addition and subtraction.
Even though it may be much a lot easier to write a different expression than just look it up in a scrapbooking, whenever you have to know a concept it’s far more convenient to compose an equation than just to do just a tiny math. In the case previously, the easiest means c and also the result could be your formula for the square.
In the event you prefer to know the range of elements of a triangle, you will need to be familiar with length of the sides, the angles, https://paramountessays.com/ and also the exact distance between the three factors. The distance is known as the hypotenuse and the angle is called the diagonal. To learn these numbers, whatever you need to do is find the distance between the hypotenuse and your center line.
A system for finding the location of the circle would be exactly like the person to get a square. For example, in the event that you can determine the radius of the circle, you are able to figure out the square’s region foot. This could be the notion of this triangle area formula.
Then you definitely may utilize the formula over to come across the region of the triangle, if you are dealing together with a triangle that has sides that would not need to replicate. By way of instance, in the event the triangle’s sides aren’t right, then you definitely will need https://www.usf.edu/arts-sciences/departments/chemistry/documents/new-chemistry-news-12-4.pdf to come across the angle from the midpoint of the triangle into the write an essay for me lines.
An example of this would be described as a quadrilateral. The triangles within this case are not right Since you can observe. They even have a curve at the same stop.
In this scenario, we all may use the system , yet this moment, we will subtract the side’s distance by the length of the angle. This will offer us precisely the angle.
The angle from the point of this triangle’s corners is equivalent to the hypotenuse. You will also have to understand the region of the corner and also the base angle. These might seem like hard formulas, however it’s crucial to bear in mind which you’re working with angles and should not attempt to clear up them.
Educators may inform you that the root of some number is their number’s square. In mathematics, a square root is a portion of the number.


The Journal of English and Germanic Philology.
The first theorem is shown similarly; one can divide the random string into nonoverlapping blocks matching the size of the desired text, and make Ek the event where the kth block equals the desired string. If there were as many monkeys as there are atoms in the observable universe typing extremely fast for trillions of times the life of the universe, the probability of the monkeys replicating even a single page of Shakespeare is unfathomably small.
Ignoring punctuation, spacing, and capitalization, a monkey typing letters uniformly at random has a chance of one in 26 of correctly typing the first letter of Hamlet. In the case of the entire text of Hamlet, the probabilities are so vanishingly small as to be inconceivable.
The text of Hamlet contains approximatelyletters. The average number of letters that needs to be typed until the text appears is also 3. To put it another way, for a one in a trillion chance of Hamlet argument, there would need to beuniverses made of atomic monkeys.
However, this does not mean the substring's absence is "impossible", despite the Hamlet argument having a prior probability of 0. For example, the immortal monkey could randomly type G as its first letter, G as its second, and G as every single letter thereafter, producing an infinite string of Gs; at no point must the monkey be "compelled" to type anything else.
To assume otherwise implies the gambler's fallacy. However long a randomly generated finite string is, there is a small but nonzero chance that it will turn out to consist of the same character repeated throughout; this chance approaches zero as the string's length approaches infinity.
There is nothing special about such a monotonous sequence except that it is easy to describe; the same fact applies to any nameable specific sequence, such as "RGRGRG" repeated forever, or "a-b-aa-bb-aaa-bbb If the hypothetical monkey has a typewriter with 90 equally likely keys that include numerals and punctuation, then the first typed keys might be "3.
The probability that randomly typed keys will consist of the first 99 digits of pi including the separator keyor any other particular sequence of that length, is much lower: If the monkey's allotted length of text is infinite, the chance of typing only the digits of pi is 0, which is just as possible mathematically probable as typing nothing but Gs also probability 0.
The same applies to the event of typing a particular version of Hamlet followed by endless copies of itself; or Hamlet immediately followed by all the digits of pi; these specific strings are equally infinite in length, they are not prohibited by the terms of the thought problem, and they each have a prior probability of 0.
In fact, any particular infinite sequence the immortal monkey types will have had a prior probability of 0, even though the monkey must type something.
This is an extension of the principle that a finite string of random text has a lower and lower probability of being a particular string the longer it is though all specific strings are equally unlikely.
This probability approaches 0 as the string approaches infinity.
At the same time, the probability that the sequence contains a particular subsequence such as the word MONKEY, or the 12th through th digits of pi, or a version of the King James Bible increases as the total string increases. This probability approaches 1 as the total string approaches infinity, and thus the original theorem is correct.
Correspondence between strings and numbers[ edit ] In a simplification of the thought experiment, the monkey could have a typewriter with just two keys: The infinitely long string thusly produced would correspond to the binary digits of a particular real number between 0 and 1.
A countably infinite set of possible strings end in infinite repetitions, which means the corresponding real number is rational.
Examples include the strings corresponding to one-third …five-sixths … and five-eighths …. Only a subset of such real number strings albeit a countably infinite subset contains the entirety of Hamlet assuming that the text is subjected to a numerical encoding, such as ASCII.The Tragedy of Hamlet, Prince of Denmark, often shortened to Hamlet (/ ˈ h æ m l ɪ t /), is a tragedy written by William Shakespeare at an uncertain date between and Set in Denmark, the play dramatises the revenge Prince Hamlet is called to wreak upon his uncle, Claudius, by the ghost of Hamlet's father, King heartoftexashop.comus had murdered his own brother and seized the throne.
William Shakespeare 's Hamlet - Madness - Madness is a condition that is difficult to distinguish between true and false. As in the encounter of the ghost of Hamlet 's father with Hamlet, Hamlet is asked to avenge his father 's death.
In Hamlet, what are some arguments that can be made based on the observation of the lack of free will of the play's characters? I am eriting a speech on Hamlet and I need help formulating a good thesis/argument. I have noted that most of the charaters lack a certain free will and are controlled by the wills of other characters.
This webpage is for Dr. Wheeler's literature students, and it offers introductory survey information concerning the literature of classical China, classical Rome, classical Greece, the Bible as Literature, medieval literature, Renaissance literature, and genre studies.
NOTE: Don’t waste time learning off what act and scene each quote is from, it won’t gain you any extra marks in the exam. Just have a general sense of where they belong chronologically eg ‘In the nunnery scene ’ or ‘In the prayer scene ’ or ‘In the gravedigger’s scene ’ Act 1, scene 2 – Claudius conducts affairs of state, begs Hamlet not to be so melancholy, and.
"Hamlet and the Vision of Darkness is a work of tremendous erudition, channeling a formidable range of classical and humanist texts as well as contemporary criticism into chapters on Hamlet's sustained engagement with early modern discourses of selfhood, hunting, cognitive theory, poetics, and moral and speculative philosophy.


As per usual, Learn and Lead will be hosting Summer Enrichment Classes. This program allows for your child to work one- on- one with their teacher in English, Math and Thinking Skills. This is a great way to minimize summer learning loss and inject some additional critical thinking skills in a fun way! Classes will be offered on Mondays, Wednesdays & Fridays for parents interested in classes three times a week, and Tuesdays and Thursdays for parents interested in classes twice a week. Please see registration form below and email it to email@example.com.