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NOMBRES RELATIFS I vocabulaire

Définition. La distance à zéro d'un nombre relatif est le nombre sans son signe. Sur une droite graduée cela correspond à la distance entre l'origine et le 



CHAPITRE : NOMBRES RELATIFS - REPERAGE I. Notion de

c) Distance à zéro : La distance d'un point à l'origine est appelée sa distance a) Définition : Un repère du plan est constitué de deux droites graduées ...



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math0300-integers-and-the-number-line.pdf

Math Symbols: Read As. Extended definition n > 0; n is greater than zero The distance from 0 to 3 on the number line is (3) three units.



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MATH VOCABULARY TERMS - Lancaster High School

Absolute Value—the distance that a number is from zero on the number line (positive) Acute angle—an angle with a measure less than 90o Addends—any number being added Additive Identity Property of Zero—for any number n n+ 0 = n Additive Identity—the number zero Additive Inverse—a number whose sum with a given number is 0 Also called



TERM DEFINITION SOURCE EXAMPLE A number’s distance from zero

Absolute value A number’s distance from zero Distance is expressed as a positive value Adapted from Smarter Balanced Mathematics Glossary ?6? = 6 and ?-6?= 6 Acute angle An angle that measures less than 90° and more than 0° Smarter Balanced Mathematics Glossary



Searches related to distance a zero definition PDF

In R we can use the Euclidean distance to measure the length of the interval from 0 to 1 which has the length 1 Now let’s look at the length of what we have remaining in [01] at each step: Step n (k) Number of subintervals remaining Length of one subinterval Ink total length ? 2n k=1 Ink 0 1 1 1 1 2 1/3 2/3

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  • Cosine Similarity

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  • Hamming Distance

    Hamming distance is the number of values that are different between two vectors. It is typically used to compare two binary strings of equal length. It can also be used for strings to compare how similar they are to each other by calculating the number of characters that are different from each other.

  • Manhattan Distance

    The Manhattan distance, often called Taxicab distance or City Block distance, calculates the distance between real-valued vectors. Imagine vectors that describe objects on a uniform grid such as a chessboard. Manhattan distance then refers to the distance between two vectors if they could only move right angles. There is no diagonal movement involv...

  • Chebyshev Distance

    Chebyshev distance is defined as the greatest of difference between two vectors along any coordinate dimension. In other words, it is simply the maximum distance along one axis. Due to its nature, it is often referred to as Chessboard distance since the minimum number of moves needed by a king to go from one square to another is equal to Chebyshev ...

  • Minkowski

    Minkowski distance is a bit more intricate measure than most. It is a metric used in Normed vector space (n-dimensional real space), which means that it can be used in a space where distances can be represented as a vector that has a length. This measure has three requirements: 1. Zero Vector — The zero vector has a length of zero whereas every oth...

  • Jaccard Index

    The Jaccard index (or Intersection over Union) is a metric used to calculate the similarity and diversity of sample sets. It is the size of the intersection divided by the size of the union of the sample sets. In practice, it is the total number of similar entities between sets divided by the total number of entities. For example, if two sets have ...

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    Haversine distance is the distance between two points on a sphere given their longitudes and latitudes. It is very similar to Euclidean distance in that it calculates the shortest line between two points. The main difference is that no straight line is possible since the assumption here is that the two points are on a sphere.

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What is the total distance traveled?

The total distance traveled is the sum of the magnitudes of the individual displacements, 8 m + 3 m = 11 m. The net displacement (the vector sum of the individual displacements), however, is still 5 meters to the left: .

What is the measure zero theorem?

Measure Zero?: Definition?:Let X be a subset of ?R?, the real number line, X has ?measure zero?if and only if ? ? > 0 ? a set of open intervals, {I?1?,...,I?k?}, 1?k??, such that (?i?)X ??I?k? and (?ii?)|I?k?|. ? k=1 ? k=1 ? ? Theorem 1?:IIf X is a finite set, X a subset of ?R?, then X has measure zero.

What is the difference between a zero vector and a positive vector?

Zero Vector — The zero vector has a length of zero whereas every other vector has a positive length. For example, if we travel from one place to another, then that distance is always positive. However, if we travel from one place to itself, then that distance is zero.

What is an example of a set with measure zero?

This Cantor Set in 2D (which has infinitely many points) is another example of a set with measure zero. Figure 2?:MatLab output for n=0,...,4 In the long run the white part of the square will be so thin that it will not take up any area. There will be individual white strings in the carpet, but their area will equal 0.

Integers and the Number Line

Positive Numbers (n): are numbers greater than zero; Negative Numbers (n): are numbers less than zero;

Math Symbols:

Read As

Extended definition

n > 0; n is greater than zero Greater than (>): the open end contains the greater number sign (+) positive or plus Give value to a number or describes an mathematical operation n < 0; n is less than zero Less than (<): the closed end contains the lesser number sign (-) negative or minus Give value to a number or describes an mathematical operation -8 0 8

1. On the number line numbers get larger to as we move from Left to Right.

2. Numbers that appear to the Right of a given number are Greater Than (>) the given number.

3. Numbers that appear to the Left of a given number are Less Than (<) the given number.

Integers are -4, -3, -2, -1, 0, 1, 2, 3, 4

Zero is not negative or positive. Zero is the origin on the number line.

Example:

1a. On the number line what number is 5 units to the right of negative (-2)

-4 -3 -2 -1 0 1 2 3 4

5 spaces

Solution:

3 is 5 units to the right of (-2)

Math 0300Student Learning Assistance Center - San Antonio College1

Opposites

The distance from 0 to 3 on the number line is (3) three units. The distance from 0 to -3 on the number line is (3) three units. Two numbers that are the same distance from zero on the number line, but on opposite sides of zero are called

Opposites.

Example 1:

(-3) is opposite of (3) and (3) is opposite of (-3) Note:

For a number (n): the opposite of (n) is (-n)

and the opposite of (-n) is (n)

Example 2:

a. - (3) = -3 The opposite of positive three is a negative three. b. - (-3) = 3 The opposite of negative three is a positive three.

Using Symbols:

Equation

Read As

1. 6 + 2 six plus two

2. +2 positive two

3. 6 - 2 six minus two

4. -2 negative two

Absolute Value:

Absolute Value of a number is the distance from zero to that number on the number line. a. That distance is never negative. b. The symbol for Absolute Value is " | | ". Math 0300Student Learning Assistance Center - San Antonio College2

Example of Absolute Value:

a. The distance from 0 to 3 is three units. Thus the | 3 | = 3 [The Absolute Value of 3 is 3]

b. The distance from 0 to -3 is three units. Thus the | - 3 | = 3 [The Absolute Value of - 3 is 3]

Note: The Absolute Value of a positive number is positive. | 5 | = 5 The Absolute Value of a negative number is positive. | -5 | = 5 The Absolute Value of a Zero is Zero. | 0 | = 0 Math 0300Student Learning Assistance Center - San Antonio College3quotesdbs_dbs22.pdfusesText_28
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