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What does “preserve” mean in mathematics?
What does preserve mean?
Is 'preserve structure' a formal statement?
Which transformation preserves length and angle measurement?
Feb 6, 2018 · preservation and reflection. In mathematics, the word “preserve” usually means the “preservation of properties”. Loosely speaking, whenever a mathematical construct A A has some property P P, after A A is somehow “transformed” into A′ A ′, the transformed object A′ A ′ also has property P P.
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Slightly more rigorously, we define an equivalence relation...
- Construct
Welcome! PlanetMath is a virtual community which aims to...
- Commutative
A binary operation that is not commutative is said to be...
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In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.
About. Transcript. Rigid transformations, like rotations and reflections, change a shape's position but keep its size and shape. These transformations preserve side lengths, angle measures, perimeter, and area. But they might not keep the same coordinates or relationships to lines outside the figure. Questions. Tips & Thanks.
- 7 min
Now, the next question, are angle measures preserved? Well, it looks like they are and this is one of the things that is true about a dilation is that you're going to preserve angle measures. This angle is still a right angle.
- 5 min
- Where did you get this dilate tool?It was in Khan, but not anymore. Here is one not on Khan: https://www.desmos.com/calculator/61qfatzci1
- Does anyone use khan anymore? most of these say 2-3 years agoI use it sometimes and I am in march 2020 right now! (well, when some of you view this it may not be march 2020)
- At 2:16, what does "prime" mean?The word "prime" can mean several things in mathematics. Most commonly, it's either "prime number" or the "prime symbol". Here, the second meaning...
- What does it mean for a line to be preserved?Preserved means "stay the same over time", In this video on dilation, it means: does the line stays the same after the dilation. If the new line si...
- i watched any payed attention to the whole video and it makes no sensewhat part doesn't make sense🤨
- Do dilations preserve perimeter?No, the length of any curve, straight or not, is multiplied by the scale factor of the dilation. So if your figure has perimeter, 6, then after a d...
- Why do they show this and they are nothing simular to the actual questions??because it makes it more challenging 😵💫
- How do you know if they are on parallel lines?the lines are next to each other... like: | | or \\ \\ or / / they *NEVER* Intersect. You know if they are on a parallel line if you visibly see it o...
- What does distinct mean?Distinct means not the same. If I say 'pick two distinct points in the plane', that means you're not allowed to pick the same point twice.
- don't the proportion between the lines like the proportion between line segment AB and CB stay the s...Yes they do. When you dilate a figure you are just multiplying and/or dividing the proportion.
The meaning of PRESERVE is to keep safe from injury, harm, or destruction : protect. How to use preserve in a sentence.
Jul 6, 2015 · Now $\phi$ is said to preserve the structure if and only if $$\phi (a*b) = \phi (a) *^\prime \phi (b)$$. Notice that $*$ is the operation for group $G$ and $*^\prime$ is the operation of group $H$. Also if $\phi$ preserves the structure, It is also said to be a group homomorphism.
This lesson will discuss transformations that can be used to preserve length and angle measurement when performed on a shape. We will look at real-world and mathematical examples of...
