**How To Do Linear Approximation**

- Find the point we want to zoom in on.
- Calculate the slope at that point using derivatives.
- Write the equation of the tangent line using point-slope form.
- Evaluate our tangent line to estimate another nearby point.

In computer science and operations research, approximation algorithms are efficient algorithms that **find approximate solutions to optimization problems (in particular NP-hard problems) with provable guarantees on the distance of the returned solution to the optimal one**.

Approximate Value is **the metric which is an estimate of a player's value**, making no fine distinctions, but, rather, distinguishing easily between very good seasons, average seasons, and poor seasons.

An Approximate Algorithm is **a way of approach NP-COMPLETENESS for the optimization problem**. This technique does not guarantee the best solution. The goal of an approximation algorithm is to come as close as possible to the optimum value in a reasonable amount of time which is at the most polynomial time.

The symbol **≈** means approximately equal to.

approximately

look at the first digit after the decimal point if rounding to one decimal place or the second digit for two decimal places. draw a vertical line to the right of the place value digit that is required. look at the next digit. **if the next digit is 5 or more, increase the previous digit by one**.

More generally, if you are trying to estimate a number that has D digits and you get it almost right, but with an error that has no more than, roughly, half that many digits, let us say, again, that you have made **an approximation with square-root error or synonymously**, a good approximation.

**How To Do Linear Approximation**

- Find the point we want to zoom in on.
- Calculate the slope at that point using derivatives.
- Write the equation of the tangent line using point-slope form.
- Evaluate our tangent line to estimate another nearby point.

The proper approximately abbreviation is “**approx.**”, but there are a few things to keep in mind regarding it. The first thing to remember is that approximately does not count with a plural form so the abbreviation can't be used in plural either.

An estimation is the act of estimating, or guessing, about the quantity, quality, or other aspect of an object or person. An approximation can be an object or person that is almost exactly like something else, but not quite, either by defect or design. If by design, it is not meant to be exact.

(1) **The approximate time is three o'clock**. (2) The cost given is only approximate. (3) The train's approximate time of arrival is 10.30. (4) The approximate date of his departure is next month.

An approximation is **anything that is similar, but not exactly equal, to something else**. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations .

the cord measures 2.91, and you round it to "3", as that is good enough. • the bus ride takes 57 minutes, and you say it is "a one hour bus ride". • **3.14 is an approximation of Pi** (which is actually 3.14159265

An approximate number is **a number that is close but not exactly equal to another number**. It is the counterpart to exact numbers. There is no uncertainty in an exact number, while the definition of an approximate number is one in which uncertainty exists.

An algorithm with approximation ratio k is called a k-approximation algorithm; **both algorithms above would be called 2-approximation algorithms**. When the approximation ratio is close to 1, it is often more useful to look at the approximation error, which is defined as the approximation ratio minus 1.

**Basic Rules of Rounding**

- Identify which place value you are rounding to.
- Look to the next smallest place value, the digit to the right of the place value you're rounding to.
- If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.

There is only one common abbreviation of approximately: **approx.**

A 3-approximation to minimum vertex cover in a bounded- degree graph can be found by **a deterministic local algorithm in 2∆ + 1 com- munication rounds, where ∆ is the maximum degree of the graph**. The algo- rithm does not need unique node identifiers; port numbering is sufficient.

If you **take the numbers from 1 to 9 in descending order and divide them by the numbers from 1 to 9 in ascending order** you get a really good approximation of 8 that is acurate up to eight digit.

Dated : 13-May-2022

Category : Education