book:chap1:1.1_basic_notions_of_mechanics
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book:chap1:1.1_basic_notions_of_mechanics [2021/10/25 22:54] – jv | book:chap1:1.1_basic_notions_of_mechanics [2022/04/01 19:28] (current) – jv | ||
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+ | [[basics| 1. Basic Principles]] | ||
+ | * **1.1 Basic notions of mechanics** | ||
+ | * [[ 1.2 Dimensional analysis ]] | ||
+ | * [[ 1.3 Order-of-magnitude guesses ]] | ||
+ | * [[ 1.4 Problems ]] | ||
+ | * [[ 1.5 Further reading ]] | ||
+ | |||
+ | ---- | ||
+ | |||
===== 1.1 Basic notions of mechanics ===== | ===== 1.1 Basic notions of mechanics ===== | ||
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<wrap lo> | <wrap lo> | ||
- | The arrows | + | Bold-face symbols |
- | For a $D$-dimensional space one needs $D$ numbers((Strictly speaking we do not only need numbers, but must also indicate the adopted units.)) | + | For a $D$-dimensional space one needs $D$ numbers((Strictly speaking we do not only need numbers, |
+ | but must also indicate the adopted units.)) | ||
to specify the position, | to specify the position, | ||
and $\mathbf x_i$ may be thought of as a vector in $\mathbb{R}^D$. | and $\mathbf x_i$ may be thought of as a vector in $\mathbb{R}^D$. | ||
- | We say that $\mathbf x_i$ is a $D$-vector. | + | We say that $\mathbf x_i$ is a $D$-vector. |
+ | In [[book: | ||
</ | </ | ||
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the latter will also be denoted as $\dot{\mathbf x}$. | the latter will also be denoted as $\dot{\mathbf x}$. | ||
</ | </ | ||
+ | |||
+ | <wrap lo> | ||
+ | In hand writing vectors are commonly denoted by an arrow, i.e., $\vec x$ | ||
+ | rather than $\mathbf x$. | ||
+ | </ | ||
+ | |||
<WRAP box round> | <WRAP box round> | ||
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</ | </ | ||
- | <WRAP box round> | + | <WRAP box round #Defi_IC> |
equations of motion}} | equations of motion}} | ||
ordinary differential equation}} | ordinary differential equation}} |
book/chap1/1.1_basic_notions_of_mechanics.1635195264.txt.gz · Last modified: 2021/10/25 22:54 by jv