https://math.stackexchange.com/questions/864606/difference-between-%E2%89%88-%E2%89%83-and-%E2%89%85
In LaTeX it is coded as \cong. ∼ ∼ is a similarity in geometry and can be used to show that two things are asymptotically equal (they become more equal as you increase a variable like n n ). This is a weaker statement than the other two. In LaTeX it is coded as \sim. ≃ ≃ is more of a grab-bag of meaning.

https://en.wikipedia.org/wiki/Multiplication_sign
The multiplication sign (×), also known as the times sign or the dimension sign, is a mathematical symbol used to denote the operation of multiplication, which results in a product. While similar to a lowercase X (x), the form is properly a four-fold rotationally symmetric saltire.. The symbol is also used in botany, in botanical hybrid names and the Heavy Goods Vehicle industry, to calculate

https://en.wikipedia.org/wiki/%E2%88%82
The character ∂ (Unicode: U+2202) is a stylized cursive d mainly used as a mathematical symbol, usually to denote a partial derivative such as / (read as "the partial derivative of z with respect to x"). It is also used for boundary of a set, the boundary operator in a chain complex, and the conjugate of the Dolbeault operator on smooth differential forms over a complex manifold.

https://emojipedia.org/warning
A triangle with an exclamation mark inside, used as a warning or alert. This emoji is used prominently within social media platform BeReal's core time-sensitive "⚠️ Time to BeReal ⚠️" push notification. This notification is shown when being prompted to share a photo of themselves and their immediate surroundings, with this notification

https://en.wikipedia.org/wiki/Plus%E2%80%93minus_sign
Plus-minus sign. The plus-minus sign or plus-or-minus sign, ±, is a symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction. In statistics and experimental sciences, the sign commonly indicates the confidence

https://en.wiktionary.org/wiki/%E2%89%88
Eric Weisstein, Wolfram Mathworld, "Approximately Equal": If two quantities A and B are approximately equal, this is written A ≈ B. Synonyms: ~=, ≅. ( topology) Homeomorphic to.

https://wumbo.net/symbols/dot-operator/
The dot operator symbol is used in math to represent multiplication and, in the context of linear algebra, as the dot product operator. Typically, the symbol is used in an expression like this: 3⋅ 5. In plain language, this expression means three multiplied by five. The interpunct symbol also referred to as the middle dot, dot product symbol

https://wumbo.net/symbols/parallel/
Parallel lines are denoted by the parallel symbol placed between the notation of the two lines. A line is denoted by the start and end letter with a line over top.

https://www.wikiwand.com/en/List_of_typographical_symbols_and_punctuation_marks
Typographical symbols and punctuation marks are marks and symbols used in typography with a variety of purposes such as to help with legibility and accessibility, or to identify special cases. This list gives those most commonly encountered with Latin script. For a far more comprehensive list of symbols and signs, see List of Unicode characters. For other languages and symbol sets, see below

https://emojipedia.org/smiling-face
A classic smiley. A yellow face with a modest smile, rosy cheeks, and soft, closed eyes. Many platforms, including Apple, feature relaxed eyebrows. Conveys a wide range of warm, positive feelings, including love, happiness, and gratitude. Similar to 😊 Smiling Face With Smiling Eyes, which has a broader smile, no eyebrows, and smiling eyes.

https://www.mathematics-monster.com/symbols/Dot-Operator.html
The Dot Operator, symbolized as ⋅ is a mathematical notation frequently employed in various mathematical contexts. One of its primary usages is in vector calculus, where it represents the dot product. Additionally, it can denote multiplication in some scenarios, especially when traditional multiplication signs might be confusing.

https://en.wikipedia.org/wiki/Colon_(punctuation)
The colon, :, is a punctuation mark consisting of two equally sized dots aligned vertically. A colon often precedes an explanation, a list, or a quoted sentence. It is also used between hours and minutes in time, between certain elements in medical journal citations, between chapter and verse in Bible citations, and, in the US, for salutations in business letters and other formal letter writing.

https://wumbo.net/symbols/perpendicular/
In geometry, the perpendicular symbol is used to show that two lines are perpendicular to each other. Visually, the symbol is made up of two lines that form a perpendicular angle.

https://math.stackexchange.com/questions/4380266/meaning-of-the-symbol-%E2%89%A1
It can mean "is defined to be equal to" (for which another common symbol is := := ). Another meaning is "is identically equal to" (for example we write sin2 x +cos2 x ≡ 1 sin 2. ⁡. x + cos 2. ⁡. x ≡ 1 to emphasize that this equation holds for all x ∈R x ∈ R (actually for all x ∈C x ∈ C as well)). It can also mean congurence as

https://www.mathsisfun.com/symbols.html
Symbols save time and space when writing. Here are the most common mathematical symbols:

https://math.stackexchange.com/questions/3958074/what-is-the-meaning-of-%E2%8A%8A
3 Answers. Short answer: A ⊊ B A ⊊ B means that A A is a subset of B B and A A is not equal to B B. Long answer: There is some confusion on mathematical textbooks when it comes to the symbols indicating one set is a subset of another. It's relatively clear what the symbol " ⊆ ⊆ " means. This symbol is more or less universally understood

https://strategiesforparents.com/what-does-the-upside-down-a-mean-in-math/
The ∀ symbol may look like the familiar capital "A" written upside down, but in mathematics (specifically in predicate calculus), the ∀ is a logic symbol or universal quantifier. You can use it in place of "for all.". This means that ∀ is a shorthand character you'll use when writing proofs, equations, and sets.

https://www.mathematics-monster.com/symbols/Tilde-Operator.html
Here, the tilde indicates that 3.14 is an approximation of π. To wrap up, the ∼ symbol is versatile and widely adopted in various mathematical contexts. Its usage mainly revolves around the concepts of similarity, equivalence, or approximation. It's an efficient way to convey these concepts without the need for verbose explanations.

https://math.stackexchange.com/questions/790019/what-is-the-symbol-%E2%89%99-most-commonly-used-for-in-a-mathematical-or-math-related-co
But it has appeared (sometimes) more convenient to use it with an equals sign, especially in statistics. It has transformed a substantive (θ is an estimator for . . .) into a verb. x ≙ . . . then reads as x estimates . . . You use it instead of a plain equals sign when you do not have a strict equality between the left term and the right

https://sites.psu.edu/symbolcodes/accents/math/mathchart/
The Unicode numeric entity codes can be expressed as either decimal numbers or. hexadecimal numbers. For instance, the decimal version of the therefore symbol (∴) would be &‌#8756; The hexadecimal version of the therefore symbol (∴) would be &‌#x2234; Note that the hexadecimal numbers include x as part of the code. Top of Page.

https://math.stackexchange.com/questions/2864497/what-does-%E2%A9%94-mean
In the language "R" the operators "|" and "&" indicate the logical operations OR and AND, but the longer form evaluates left to right examining only the first element of each vector. Source: "Logical operators in R". In the language JavaScript bitwise operators ("|" and "&") treat their operands as a sequence of 32 bits (zeroes