## Why We Care For The Asymptotic Bound Of An Algorithm

Well, there are many reasons for it, but I believe the most important of them are:

*exact*complexity function, thus we “compromise” on the big-O/big-Theta notations, which are informative enough theoretically.

*platform dependent*. For example, if we have a vector of 16 numbers. How much ops will it take? The answer is: it depends. Some CPUs allow vector additions, while other don’t, so the answer varies between different implementations and different machines, which is an undesired property. The big-O notation however is much more constant between machines and implementations.

To demonstrate this issue, have a look at the following graphs:

It is clear that f = 2*n is “worse” than f = n. But the difference is not quite as drastic as it is from the other function. We can see that f=logn quickly getting much lower than the other functions, and f = n^2 is quickly getting much higher than the others.So – because of the reasons above, we “ignore” the constant factors , and take only the big-O notation.

In the above example, f=n, f=2*n will both be in O and in Omega – and thus will also be in Theta.On the other hand – f=logn will be in O =n), but will NOT be in Omega – and thus will also NOT be in Theta.Symmetrically, f=n^2 will be in Omega, but NOT in O, and thus – is also NOT Theta.

1Usually, though not always. when the analysis class is missing, we really mean **the worst case.**

Theta) =

**O:** It gives only upper bound

## Faq: What Does U Mean In Math

Tech. Is the Universe Made of Math? In this excerpt from his new book, Our Mathematical Universe, M.I.T. professor Max Tegmark explores the possibility that math does not just describe. In music what does allegro mean math worksheet. M025 m025 82. Kindergarten Math Worksheets Fact Families Kiddo Shelter Music Faster i have the same worksheet and i cant figure out the full answer sorry but yea thats what it means Checks and Balance After mathwhat does a return to normal mean for American leadership? Our weekly podcast on democracy in America. Economist Radio Podcasts. Jun 11th 2021 ON HIS.

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## What Does The Mean In Math Formulas

What Does n Mean in Math? By Staff Writer Last Updated Mar 27, 2020 8:10:56 PM ET. In mathematical operations, n is a variable, and it is often found in equations for accounting, physics and arithmetic sequences What does Dcmam mean in math? The acronym DCMAM stands for Dont Call Me A Monster. It also stands for the steps needed to whittle a Monster down to a 2-step equation . Click to see full answer. Similarly, what is equation with example

* What does ^ mean in math? Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true*. Answer: In Mathematics AND is denoted by the symbol ^ Lets understand this An outlier is a number in a data set that is much smaller or larger than the other numbers in the data set.TranscriptWelcome to MooMooMath where we upload a. What Does FOIL in Math Mean? Start today. Try it now Math / Math for Kids Math for Kids 23 chapters | 325 lessons }. What does Annex in math mean? by annexing zero:x 5 = 2, In this case annexing means multiplication. in an addition or multiplication number do not change the result of the equation. When you compare two numbers that DO NOT have all the same number of digits after the decimal point, we can add ZEROS

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## What Does Mean In Trigonometry

in trigonometry is used as a variable to represent a measured angle. It is the angle between the horizontal plane and the line of sight from an observer’s eye to an object above. can be referred to as the angle of elevation or angle of depression, depending upon the object’s position, i.e, when the object is above the horizontal line, is called the angle of elevation, and for object’s position below the horizontal line, it is called the angle of depression.

## How To Interpret Theta

To understand theta, it is important to first understand the difference between the intrinsic and extrinsic value of an option. Together, the extrinsic and intrinsic value make up the total value or premium of an option. The intrinsic value only measures the profit of the option based on the strike price and market price. One way to think about the intrinsic value is that if the option were to expire today, the premium consists only of this intrinsic value . The extrinsic value, on the other hand, measures the part of the premium not defined by the intrinsic value. The extrinsic value is the value of being able to hold the option and the opportunity for the option to gain value as the underlying asset moves in price. The closer an option is to expiration, the smaller the extrinsic value becomes.

We now know that the further away from expiration the option is, the higher the extrinsic value. The closer to expiration the option is, the smaller the extrinsic value. At the expiration date, the extrinsic value is 0, and the entire premium consists of the intrinsic value assuming the option is in the money. Theta is a sensitivity measure that determines the decline in this extrinsic value of the option over time.

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## What Does $f\in \theta$ Mean

I have recently begun to see examples of people and literature saying statements such as $f \in \Theta$ but what does it *mean* for one function to be *inside* or a member of another?

Unfortunately, there are massive inconsistencies with how big O notation is used, leading to some confusion.

In this case $\Theta)$ is the *set* of functions that are asymptotically bounded below and above by $g$.

Therefore, if $f\in \Theta$ that means that $f$ is in that set, i.e. it is bounded below and above by $g$.

## Summary Of Trigonometric Formulas

#### Formulas for arcs and sectors of circles

You can easily find both the length of an arc and the area of a sector for an angle in a circle of radius *r*.

Length of an arc. The length of the arc is just the radius r times the angle where the angle is measured in radians. To convert from degrees to radians, multiply the number of degrees by /180. |

Area of a sector. The area of the sector is half the square of the radius times the angle, where, again, the angle is measured in radians. |

#### Formulas for right triangles

The most important formulas for trigonometry are those for a right triangle. If is one of the acute angles in a triangle, then the sine of theta is the ratio of the opposite side to the hypotenuse, the cosine is the ratio of the adjacent side to the hypotenuse, and the tangent is the ratio of the opposite side to the adjacent side.

These three formulas are collectively known by the mnemonic SohCahToa. Besides these, theres the all-important Pythagorean formula that says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Along with the knowledge that the two acute angles are complementary, that is to say, they add to 90°, you can solve any right triangle:

- If you know two of the three sides, you can find the third side and both acute angles.
- If you know one acute angle and one of the three sides, you can find the other acute angle and the other two sides.

#### Formulas for oblique triangles

#### Area formulas for triangles

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## From The Century Dictionary

- noun As used in formulæ of mathematics and engineering, theta usually denotes:
- noun the entropy, or thermodynamic function or factor by which the absolute temperature is to be multiplied to indicate an amount of heat energy.
- noun The angle, in angular measure, or at the center, through which a radius vector has swept from a zero position, or through which a line has swept in a rotation.
- noun A letter of the Greek alphabet corresponding to the English
*th*in*thin*, etc. - noun A sort of complication of an exponential function, being expressed by a series from n = to
*n*= + of terms the logarithm of each of which is*n**a*+ 2*na.*A theta function of several variables,*x*1,*x*2,*xn*, is is a quadratic function of the constants*m*1,*m*2,*mn.* - noun A function which occurs in probabilities, and is expressed by the integral
*fet**dt.*

## Difference Between Numerator And Denominator

The difference between denominator and numerator in a research study is the same as that of mathematical elements: One element, the denominator, influences another variable element, the numerator, either by division, reduction, measurement or similar change. The research study has a question what is the effect of X on Y?and it answers it by observing how denominator X changes numerator Y. The decisive element of the study is X, the mover and shaker, so to speak. Y receives the action or effect of X, which gives resulting data to the study.

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## Often Asked: What Does And Mean In Math

But what does a squiggly line mean in math? There are two major varieties of mathematics used in the simple geometry. A single kind that uses straight lines plus the other variety that makes use of curved lines. In each forms, a squiggle represents an interval Math, Math Problems and Solutions, Tests, Formulas, Algebra. Menu Home Question-Answer Riddles Puzzle Rebus Contact Us Posted on May 16, 2021 May 16, 2021 by John Newton. What does the word pudding mean in the U.K.? What does the word pudding mean in the U.K.? Dessert A fancy meal Whipped cream Breakfast. Answer. What does it mean in the context of the above quote? Mr. Trumps campaign manager says Professor Hawking should try to talk in English. Is this a farfetched way of using common denominator from math to politics? Did Professor Hawking misuse the common denominator Mean score of whole class . Mean Word Problems. Example 1: Pedros luncheonette is open six days a week. His income for the first five days was $1,200, $1,100, $2,000, $1,400 and $3,000. How much money must she make on the sixth day to average $2,000 for the six days? Example 2: Georges scores on three math tests were 70, 90 and 75 A fractional exponent is an alternate notation for expressing powers and roots together. For example, the following are equivalent. We write the power in numerator and the index of the root in the.

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## What Is Csc X In Math

**4/5****Cosecant****cosecant****csc****csc****x**

Just so, is CSC sin or cos?

The cotangent of x is defined to be the cosine of x divided by the sine of x: **cot** x = cos x sin x . The secant of x is 1 divided by the cosine of x: **sec** x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

One may also ask, what is CSC Theta? The reciprocal cosine function is secant: sec=1/cos. The reciprocal sine function is **cosecant**, **csc**=1/sin. The reciprocal tangent function is cotangent, expressed two ways: cot=1/tan or cot=cos/sin. Secant **theta** is defined as 1 over x.

Also question is, is CSC the inverse of sin?

arcsin is the **inverse** of the **sin** function. **cosecant** is the reciprical of the **sin** function or 1/**sin** so that **csc*****sin** = 1 when it is defined. The two can be confused since arcsin is often denoted as **sin**^-1 and x^-1 is 1/x.

What is the inverse of sin?

The inverse of the sin function is the arcsin function. But **sine** itself, would not be invertible because it’s not injective, so it’s not bijective . To obtain arcsine function we have to restrict the domain of **sine** to .

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## Which Is Correct Pemdas Or Bodmas

To help students in the United States remember this order of operations, teachers drill the acronym PEMDAS into them: parentheses, exponents, multiplication, division, addition, subtraction. Other teachers use an equivalent acronym, **BODMAS: brackets, orders, division and multiplication, and addition and subtraction**.

## How To Find Angle Theta In Trigonometry

In mathematics, the study of triangles is called trigonometry. Any unknown values of angles and sides may be discovered using the common trigonometric identities of Sine, Cosine and Tangent. These identities are simple calculations used to convert the ratios of sides into degrees of an angle. Unknown angles are referred to as **angle theta** and may be calculated in various ways, based on known sides and angles.

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## What Does The Lowest Common Denominator Mean In The Context Other Than Math

In the New Yorkers article under the title, Stephen Hawking angers Trump supporters with baffling array of long words, Andy Borowitz wrote

Speaking to a television interviewer in London, the theoretical physicist, Hawking called Trump a demagogue who seems to appeal to

the lowest common denominator. For a so-called genius, this was an epic fail, Trumps campaign manager, Corey Lewandowski, said. If Professor Hawking wants to do some damage, maybe he should try talking in English next time.Later in the day, Hawking attempted to clarify his remark about the presumptive Republican Presidential nominee, telling a reporter, Trump bad man. Real bad man.

From the context of Professor Hawkings remark, I take the lowest common denominator as referring to the social segment of low educated, unsophisticated people, but Im not sure.

I thought common denominator is a simple mathematic term. What does it mean in the context of the above quote?

Mr. Trumps campaign manager says Professor Hawking should try to talk in English.Is this a farfetched way of using common denominator from math to politics?

Did Professor Hawking misuse the common denominator? Or does Mr. Trumps campaign manager not understand the meaning of common denominator, which some call an everyday-use English phrase?

P.S.

I found the following definition of common denominator in Oxford Advanced Learners English Dictionary

Heres a definition from ODO:

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## What Does < And/or > Mean In Math What Does That Mean

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## What Are The Applications Of Trigonometry

Trigonometry finds applications in different fields in our day-to-day lives. In astronomy, trigonometry helps in determining the distances of the Earth from the planets and stars. It is used in constructing maps in geography and navigation. It can also be used in finding an island’s position in relation to the longitudes and latitudes. Even today, some of the technologically advanced methods which are used in engineering and physical sciences are based on the concepts of trigonometry.

## Cultural Definitions Forcommon Denominator

A number that will allow fractions with different denominators to be converted into fractions with the same denominator, so that these fractions can be added or subtracted. The fractions can be expressed as whole numbers divided by the common denominator. Thus, 12 is a common denominator for 1/3 and 1/4, since they can be written as 4/12 and 3/12, respectively.

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## Angles And Sides Of A Triangle

In this section A, B, C denote the three angles of a triangle, and a, b, c denote the lengths of the respective opposite edges. They are related by various formulas, which are named by the trigonometric functions they involve.

#### Law of sines

The law of sines states that for an arbitrary triangle with sides a, b, and c and angles opposite those sides A, B and C:

In this formula the angle at C is opposite to the side c. This theorem can be proven by dividing the triangle into two right ones and using the Pythagorean theorem.

The law of cosines can be used to determine a side of a triangle if two sides and the angle between them are known. It can also be used to find the cosines of an angle if the lengths of all the sides are known.

#### Law of tangents

The law of tangents says that:

- tan