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A detailed tutorial of finding the canonical form of an object. Step by step tutorial including several examples of finding the canonical form of an object for reference.

Canonical form is also referred to as normal form or standard form. The canonical form of an object is a standard way of presenting that object. The process of finding a canonical form of something is referred to as canonization. Sometimes the word canonicalization is used instead. Canonical forms of objects are closly linked to differential forms of equations and numbers, and equivalence relations.

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A detailed tutorial on calculating the angle of depression. Step by step tutorial including several examples of the angle of depression for reference.

The angle of depression is the angle at which a person must be looking in order to see an object that is lower than the observer. Typically, the angle of elevation is a term used in trigonometry, when calculating angles of a right triangle. In a right triangle, the angle of elevation is the angle between the hypotenuse and the base, when the base of the triangle is actually located at the top of the figure. It can be calculated by using SOHCAHTOA and solving for the sine, cosine, or tangent.

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A detailed tutorial on how to calculate the angle of elevation. Step by step tutorial including several examples of the angle of elevation for reference.

The angle of elevation is the angle at which a person must be looking in order to see an object that is higer than the observer. Typically, the angle of elevation is a term used in trigonometry, when calculating angles of a right triangle. In a right triangle, the angle of elevation is the angle between the hypotenuse and the base. It can be calculated by using SOHCAHTOA and solving for the sine, cosine, or tangent.

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A detailed tutorial on the definition of a bisector. Step by step tutorial including several examples of bisectors for reference.

A bisector is any line that evenly divides a symmetrical shape or object. The only difference between the bisector and the test for symmetry is that when testing for symmetry, the line is not really there. A bisector is really there. The most common kind of bisector is an angle bisector. In order to remember bisectors, think of them as perpendicular lines that cross right in the middle.

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A detailed tutorial on vector space. Step by step tutorial including several examples of vector space and how to solve for vector space for reference.

Vector space is simply a structure in mathematics that is formed by a collection of vectors. Vector space can be calculated using vector addition and scalar multiplication. Vector space is very dependent on the definition of a vector. Some vectors are simply arrows on a fixed plane. But in general, the term vector just means there is an object for which two operations can be performed. The definition of vector space is defined in algebraic terms, as opposed to the geometric terms that can sometimes be applied.

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A detailed tutorial on how to solve for Mach numbers. Step by step tutorial including several examples of how to solve for Mach numbers for reference.

A Mach number is the speed of an object moving through the air, or any fluid substance, divided by the speed of sound as it is in that substance. It is often used to represent an object such as an aircraft or a missile’s speed, when it is travelling at the speed of sound or multiples of the speed of sound. This can be portrayed mathematically in the equation M = vs / u, where M is the Mach number, vs is the speed of the source (the object relative to the medium), and u is the speed of sound in the medium.