Questions tagged [scientific-notation]

A way of expressing numbers in the form $a \cdot 10^b$, where $a$ is a real number and $1 < a < 10$, and $b$ is an integer, otherwise known as standard form. This is a concise way to express very large or very small numbers.

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Can I define a probaility distribution without defining a random variable?

Let $\mathcal{X}$ be a sample space, $X$ be random variable that takes values from $\mathcal{X}$, and $x \in \mathcal{X}$ be a data sample. Can I define a probability distribution $P$ over $\mathcal{X}...
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Generalized max function that chooses N largest items.

Let $X$ be a list of real numbers. The length of $X$ is finite, i.e., $|X|=m<\infty$. The largest element of $X$ can be denoted by $\max X$. My question is Is there any mathematical notation that ...
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Why is 5.93e-56 considered to be close to zero? [closed]

I am very poor in math but have recently been studying some math courses, unfortunately they do not explain things well. I have heard multiple times now that values like ...
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Matrices, Vectors and Notation

Let a matrix $\mathbf{G}$ be a function of a vector $\mathbf{x}=\begin{bmatrix}x_1 \\ x_2\end{bmatrix}$: $$ \mathbf{G} = \begin{bmatrix}x_1 & 0 \\ 0 & x_2\end{bmatrix}.$$ I believe it is valid ...
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notation for a set of ordered vectors based on similarity with another vector.

I have a set of vectors $\{V_1,\dots,V_n \}.$ given a vector $V_s$ I want to write the notation that defines the set $S$ of the n vectors that are most similar to $V_s$ according to some similarity ...
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Notation for higher order differentials

When writing the element of volume in integrals I found different notations (between Maths courses and Physics courses). Is it correct to write $dx^n$ or $d^n x$ for the element of volume? On one side,...
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Name of the notation $(s|z,u,n)$

what is the name of the notation , I didn't get it (as physics student we call $\langle q|p\rangle$ Braket notation) but in software books i am often seeing that notation how can you call it does it ...
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Scientific notation into binary notation

$0.25E3 = 0.25 \cdot 10^3 = 250$. I am trying to write it in binary notation which should be something like for example if binary is $11111010$ then the binary would be in scientific notation $0....
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How to solve a fraction with a numerator in exponential form and a denominator in numerical form without a calculator?

The question: "Imagine unwinding (straightening out) all of the DNA from a single typical cell and laying it "end-to-end"; then the sum total length will be approximately $2$ meters. ...
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What does 3.199E +01 mean? [duplicate]

What is the exact value of 3.199 E +01 ? Does it mean $3.199\times10^1$?? I get confused with the notation.
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$N × 10^a$ notation

Today our teacher taught us the $N × 10^a$ notation. He specified that $N$'s value must be $1 ≤ N < 10$ and that $a$ must be an integer. I understood that much but I was wondering, why can't $N$ ...
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How to interpret scientific notation?

I'm having a problem understanding scientific notation. What is the difference between the following: $$\text{5e2, 5e-2, -5e2, -5e-2}$$
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What is the Scientific Notation of Zero?

This question was asked here, where the answer uses this description. The last line reads: "The special case of $0$ does not have a unique representation in scientific notation, i.e., $0=0×10^0=0×...
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Scientific notation and negative numbers

My daughter is learning scientific notation in school, and her textbook says something to the effect of this: Scientific notation is a method of writing numbers as the product of two factors where ...
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What does E mean in 9.0122222900391E-5? [closed]

I am not a mathematician(IANAM), however I wish I could be. My question: I often find this at the bottom of pages. Page generated in 0.00013899803161621 Sometimes, I come across Page ...