The document summarizes LaTeX mathematical symbols. It provides examples of Greek and Hebrew letters, math constructs like fractions and integrals, delimiters, variable-sized symbols, standard function names, binary operations, arrow symbols, miscellaneous symbols, array environments, different math styles, font sizes, and text mode accents and symbols. All LaTeX math symbols and constructs are defined with escape sequences like \alpha for the Greek letter α.
A brief study material for teaching mathematics of back propagation.
The notations are based on
https://www.cs.huji.ac.il/~shais/UnderstandingMachineLearning/understanding-machine-learning-theory-algorithms.pdf
A brief study material for teaching mathematics of back propagation.
The notations are based on
https://www.cs.huji.ac.il/~shais/UnderstandingMachineLearning/understanding-machine-learning-theory-algorithms.pdf
Unicode regular expression tutorial with examples in Perl, PHP, and JavaScript.
Presented at: Shutterstock “Brown Bag Lunch” Tech Talk, 23 January 2013, New York, NY
And now you have two problems. Ruby regular expressions for fun and profit by...Codemotion
A wise hacker said: Some people, when confronted with a problem, think “I know, I’ll use regular expressions.” Now they have two problems.
Regular expressions are a powerful tool in our hands and a first class citizen in ruby so it is tempting to overuse them. But knowing them and using them properly is a fundamental asset of every developer.
We’ll see hands-on examples of proper Reg Exps usage in ruby code, we’ll also look at bad and ugly cases and learn how to approach writing, testing and debugging regular expressions.
JSARToolKit / LiveChromaKey / LivePointers - Next gen of ARYusuke Kawasaki
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Try this at: http://www.kawa.net/text/spark/09/spark.html
Regular Expressions: JavaScript And BeyondMax Shirshin
Regular Expressions is a powerful tool for text and data processing. What kind of support do browsers provide for that? What are those little misconceptions that prevent people from using RE effectively?
The talk gives an overview of the regular expression syntax and typical usage examples.
Richard's aventures in two entangled wonderlandsRichard Gill
Since the loophole-free Bell experiments of 2020 and the Nobel prizes in physics of 2022, critics of Bell's work have retreated to the fortress of super-determinism. Now, super-determinism is a derogatory word - it just means "determinism". Palmer, Hance and Hossenfelder argue that quantum mechanics and determinism are not incompatible, using a sophisticated mathematical construction based on a subtle thinning of allowed states and measurements in quantum mechanics, such that what is left appears to make Bell's argument fail, without altering the empirical predictions of quantum mechanics. I think however that it is a smoke screen, and the slogan "lost in math" comes to my mind. I will discuss some other recent disproofs of Bell's theorem using the language of causality based on causal graphs. Causal thinking is also central to law and justice. I will mention surprising connections to my work on serial killer nurse cases, in particular the Dutch case of Lucia de Berk and the current UK case of Lucy Letby.
Unicode regular expression tutorial with examples in Perl, PHP, and JavaScript.
Presented at: Shutterstock “Brown Bag Lunch” Tech Talk, 23 January 2013, New York, NY
And now you have two problems. Ruby regular expressions for fun and profit by...Codemotion
A wise hacker said: Some people, when confronted with a problem, think “I know, I’ll use regular expressions.” Now they have two problems.
Regular expressions are a powerful tool in our hands and a first class citizen in ruby so it is tempting to overuse them. But knowing them and using them properly is a fundamental asset of every developer.
We’ll see hands-on examples of proper Reg Exps usage in ruby code, we’ll also look at bad and ugly cases and learn how to approach writing, testing and debugging regular expressions.
JSARToolKit / LiveChromaKey / LivePointers - Next gen of ARYusuke Kawasaki
I gave a talk about the next generation of AR. Pure ActionScript 3.0 libraries of LiveChromaKey and LivePointers made it at the SparkStudy/09 (Spark project勉強会#09)
Try this at: http://www.kawa.net/text/spark/09/spark.html
Regular Expressions: JavaScript And BeyondMax Shirshin
Regular Expressions is a powerful tool for text and data processing. What kind of support do browsers provide for that? What are those little misconceptions that prevent people from using RE effectively?
The talk gives an overview of the regular expression syntax and typical usage examples.
Richard's aventures in two entangled wonderlandsRichard Gill
Since the loophole-free Bell experiments of 2020 and the Nobel prizes in physics of 2022, critics of Bell's work have retreated to the fortress of super-determinism. Now, super-determinism is a derogatory word - it just means "determinism". Palmer, Hance and Hossenfelder argue that quantum mechanics and determinism are not incompatible, using a sophisticated mathematical construction based on a subtle thinning of allowed states and measurements in quantum mechanics, such that what is left appears to make Bell's argument fail, without altering the empirical predictions of quantum mechanics. I think however that it is a smoke screen, and the slogan "lost in math" comes to my mind. I will discuss some other recent disproofs of Bell's theorem using the language of causality based on causal graphs. Causal thinking is also central to law and justice. I will mention surprising connections to my work on serial killer nurse cases, in particular the Dutch case of Lucia de Berk and the current UK case of Lucy Letby.
Observation of Io’s Resurfacing via Plume Deposition Using Ground-based Adapt...Sérgio Sacani
Since volcanic activity was first discovered on Io from Voyager images in 1979, changes
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Although Artemia has been known to man for centuries, its use as a food for the culture of larval organisms apparently began only in the 1930s, when several investigators found that it made an excellent food for newly hatched fish larvae (Litvinenko et al., 2023). As aquaculture developed in the 1960s and ‘70s, the use of Artemia also became more widespread, due both to its convenience and to its nutritional value for larval organisms (Arenas-Pardo et al., 2024). The fact that Artemia dormant cysts can be stored for long periods in cans, and then used as an off-the-shelf food requiring only 24 h of incubation makes them the most convenient, least labor-intensive, live food available for aquaculture (Sorgeloos & Roubach, 2021). The nutritional value of Artemia, especially for marine organisms, is not constant, but varies both geographically and temporally. During the last decade, however, both the causes of Artemia nutritional variability and methods to improve poorquality Artemia have been identified (Loufi et al., 2024).
Brine shrimp (Artemia spp.) are used in marine aquaculture worldwide. Annually, more than 2,000 metric tons of dry cysts are used for cultivation of fish, crustacean, and shellfish larva. Brine shrimp are important to aquaculture because newly hatched brine shrimp nauplii (larvae) provide a food source for many fish fry (Mozanzadeh et al., 2021). Culture and harvesting of brine shrimp eggs represents another aspect of the aquaculture industry. Nauplii and metanauplii of Artemia, commonly known as brine shrimp, play a crucial role in aquaculture due to their nutritional value and suitability as live feed for many aquatic species, particularly in larval stages (Sorgeloos & Roubach, 2021).
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Slides from:
11th International Conference on Electrical, Electronics and Computer Engineering (IcETRAN), Niš, 3-6 June 2024
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Monitor common gases, weather parameters, particulates.
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1. LATEX Mathematical Symbols
The more unusual symbols are not defined in base LATEX (NFSS) and require usepackage{amssymb}
1 Greek and Hebrew letters
α alpha κ kappa ψ psi digamma ∆ Delta Θ Theta
β beta λ lambda ρ rho ε varepsilon Γ Gamma Υ Upsilon
χ chi µ mu σ sigma κ varkappa Λ Lambda Ξ Xi
δ delta ν nu τ tau ϕ varphi Ω Omega
epsilon o o θ theta varpi Φ Phi ℵ aleph
η eta ω omega υ upsilon varrho Π Pi beth
γ gamma φ phi ξ xi ς varsigma Ψ Psi daleth
ι iota π pi ζ zeta ϑ vartheta Σ Sigma gimel
2 LATEX math constructs
abc
xyz frac{abc}{xyz} abc overline{abc}
−→
abc overrightarrow{abc}
f f’ abc underline{abc}
←−
abc overleftarrow{abc}
√
abc sqrt{abc} abc widehat{abc} abc overbrace{abc}
n
√
abc sqrt[n]{abc} abc widetilde{abc} abc underbrace{abc}
3 Delimiters
| | { { lfloor / / ⇑ Uparrow llcorner
| vert } } rfloor backslash ↑ uparrow lrcorner
| langle lceil [ [ ⇓ Downarrow ulcorner
Vert rangle rceil ] ] ↓ downarrow urcorner
Use the pair lefts1 and rights2 to match height of delimiters s1 and s2 to the height of their contents, e.g.,
left| expr right| left{ expr right} leftVert expr right.
4 Variable-sized symbols (displayed formulae show larger version)
sum int biguplus bigoplus bigvee
prod oint bigcap bigotimes bigwedge
coprod iint bigcup bigodot bigsqcup
5 Standard Function Names
Function names should appear in Roman, not Italic, e.g.,
Correct: tan(at-npi) −→ tan(at − nπ)
Incorrect: tan(at-npi) −→ tan(at − nπ)
arccos arccos arcsin arcsin arctan arctan arg arg
cos cos cosh cosh cot cot coth coth
csc csc deg deg det det dim dim
exp exp gcd gcd hom hom inf inf
ker ker lg lg lim lim lim inf liminf
lim sup limsup ln ln log log max max
min min Pr Pr sec sec sin sin
sinh sinh sup sup tan tan tanh tanh
4. 10 Array environment, examples
Simplest version: begin{array}{cols} row1 row2 . . . rowm end{array}
where cols includes one character [lrc] for each column (with optional characters | inserted for vertical lines)
and rowj includes character & a total of (n − 1) times to separate the n elements in the row. Examples:
left( begin{array}{cc} 2tau & 7phi-frac5{12}
3psi & frac{pi}8 end{array} right)
left( begin{array}{c} x y end{array} right)
mbox{~and~} left[ begin{array}{cc|r}
3 & 4 & 5 1 & 3 & 729 end{array} right]
2τ 7φ − 5
12
3ψ π
8
x
y
and
3 4 5
1 3 729
f(z) = left{ begin{array}{rcl}
overline{overline{z^2}+cos z} & mbox{for}
& |z|<3 0 & mbox{for} & 3leq|z|leq5
sinoverline{z} & mbox{for} & |z|>5
end{array}right.
f(z) =
z2 + cos z for |z| < 3
0 for 3 ≤ |z| ≤ 5
sin z for |z| > 5
11 Other Styles (math mode only)
Caligraphic letters: $mathcal{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Mathbb letters: $mathbb{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Mathfrak letters: $mathfrak{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
Math Sans serif letters: $mathsf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
Math bold letters: $mathbf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
Math bold italic letters: define defmathbi#1{textbf{em #1}} then use $mathbi{A}$ etc.:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
12 Font sizes
Math Mode:
f−1
(x − xa) dx ${displaystyle int f^{-1}(x-x_a),dx}$
f−1
(x − xa) dx ${textstyle int f^{-1}(x-x_a),dx}$
f−1
(x−xa) dx ${scriptstyle int f^{-1}(x-x_a),dx}$
f−1(x−xa) dx ${scriptscriptstyle int f^{-1}(x-x_a),dx}$
Text Mode:
tiny = smallest
scriptsize = very small
footnotesize = smaller
small = small
normalsize = normal
large = large
Large = Large
LARGE = LARGE
huge = huge
Huge = Huge
13 Text Mode: Accents and Symbols
´o ’{o} ¨o "{o} ˆo ^{o} `o ‘{o} ˜o ~{o} ¯o ={o} s. d s
˙o .{o} ˘o u{o} ˝o H{o} oo t{oo} ¸o c{o} o. d{o} ˚s r s
o
¯
b{o} ˚A AA ˚a aa ß ss ı i j ˝s H s
ø o s t s ˇs v s Ø O ¶ P § S
æ ae Æ AE † dag ‡ ddag c copyright £ pounds