For the ones amongst us who don’t seem to be in particular mathematically vulnerable, it may be tough to take into accout the meanings of mathematical symbols.
This can also be the case regardless of whether or not we realized them 20 years in the past or the day gone by.
The symbols for addition, subtraction, department, and multiplication are beautiful simple.
Issues transform extra sophisticated, on the other hand, once we start to communicate in regards to the department of arithmetic referred to as geometry, no longer to point out trigonometry or calculus.
However take braveness! Fortune favors the courageous, and you’re by no means too previous to relearn the fundamental meanings of other mathematical ideas.
Have you ever come around the image || in a textual content and are not sure what it indicates? No downside. Here’s a fast cheat sheet to this image’s two meanings.
Table of Contents
What does || mean in math?
The image || has two meanings. The first meaning signifies parallelism in geometry. If AB and CD are each strains on a commonplace airplane, then “AB || CD” manner they’re parallel. Its 2nd use is to denote a norm when used as brackets. The norm worth in between two brackets is the period of a vector.
Parallelism in Geometry
Geometry is a department of arithmetic fascinated with the homes and members of the family of issues, strains, surfaces, solids, and better dimensional analogues.
Extra merely, this can be a means to learn about the sizes, shapes, positions, angles, and dimensions of issues.
When maximum of us take into accounts geometry, we image a sequence of circles, squares, and triangles. We may additionally recall a wide range of other formulation we have been taught that helped us determine the lengths and floor spaces of the ones shapes.
Any other factor we would possibly take into accout, is studying about parallel strains. Parallel strains are strains in a airplane that don’t meet.
If two strains exist at the identical airplane with out each intersecting at any level, then they’re parallel.
Curves that don’t intersect will also be regarded as parallel.
In three-d Euclidean geometrical areas, two planes or a line and a airplane that don’t proportion issues also are parallel.
Two strains that don’t meet in three-d house will have to be at the identical airplane in order to be parallel. If they don’t seem to be, they’re referred to as skew strains.
Ultimate however no longer least, planes themselves may also be parallel. Parallel planes are planes in the similar three-d house that by no means intersect.
The image for parallelism is ||.
To suggest that two strains are parallel, you’ll position the names of the strains on each side of this image. As an example, AB || CD signifies that the road AB runs parallel to the road CD.
Norms
The norm of a mathematical object is a amount that describes the period, dimension, or extent of that object.
The double bar image is reserved for vector norms. It’s used in pairs on each side of the price of the vector norm, for instance || X ||.
Vector norms specify the period of a vector. A vector is a mathematical object that appears like an arrow.
It has a period, referred to as the magnitude or norm, and a course.
In two dimensions, you’ll in finding the vector norm the usage of the Pythagorean theorem.
The Pythagorean theorem supplies that the sum of the squares at the legs of a proper triangle is equivalent to the hypotenuse, and is most often written as: a2+b2=c2.
In 3 dimensions, the Pythagorean theorem merely will get any other letter: a2+b2+c2=d2
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