Learn How to Pronounce cosh, sinh, and Gradient Symbols Easily

  • Thread starter chrisych
  • Start date
In summary, the symbols "cosh" and "sinh" are commonly used to refer to Hyperbolic Cosine and Hyperbolic Sine respectively. The gradient operator, denoted by the upside-down delta symbol, is commonly pronounced as "grad" or "del" and technically referred to as "nabla". The backward difference operator is also known as the backward difference operator and is used in finite differences and difference equations. It is analogous to the derivative in continuous calculus and can be solved using similar techniques.
  • #1
chrisych
32
0
Can anyone tell me how to pronounce the following symbols?

cosh, sinh and the gradient (the up-side-down delta).

hyperbola cosine? hyperbola sine? gradient?
 
Mathematics news on Phys.org
  • #2
Full names would be Hyperbolic Cosine, Hyperbolic Sine, and the backward difference operator.
 
  • #3
The pronuciations "cosh" and "sinch" are commonly used. (In my Freshman calculus class the instructor said "sinus hyperbolicus"!)

The gradient operator (not the "backward difference operator") is commonly pronounced "grad" or "del" (that's more general, for example [itex]\nabla f[/itex] is "grad f" or "del f" while [itex]\nabla \cdot \vec{f}[/itex] is "div f" or "del dot f" and [itex]\nabla \times \vec{f}[/itex] is "curl f" or "del cross f" . Technically, it's a "nabla". In order to get that symbol in the tex above, I used "\nabla".
 
Last edited by a moderator:
  • #4
I was taught 'cosh' and 'shine'. (If you're wondering, hyperbolic tangent was 'than' :biggrin:)
 
  • #5
"Sinus hyperbolicus" is what I call it too, but not in English :smile:

HallsofIvy said:
[...][itex]\nabla X \vec{f}[/itex] is "curl f" or "del cross f" . Technically, it's a "nabla". In order to get that symbol in the tex above, I used "\nabla".

Now if only you have used "\times" to get the cross symbol ... :-p
 
  • #6
Nabla! Thats great. A hebrew word for a type of harp or so I wiki.

When I read words to myself "cosh" and "sinh"
I SAY "Cosine" and then THINK "hyperbolic";
same with the Sin(h). Its weird.
I never actually used them in a sentence when alone. If talking ot someone else I say hyperbolic sine.
 
  • #7
...

CompuChip said:
"Sinus hyperbolicus" is what I call it too, but not in English :smile:

Are you from Romania?
 
  • #8
HallsofIvy said:
The gradient operator (not the "backward difference operator") is commonly pronounced "grad" or "del" ...

Sorry Halls, I actually have no personal experience with this what so ever (although I have many times manually just applied [itex] f(x)-f(x-1)[/itex] ), so this was somewhat new to me.

However extremely coincidentally, in my thread "How Good Am I?" (which I am sad you don't participate in :( ), yip just introduced to us an operator like that in one of his questions, and also in "Klaus_Hoffman"'s thread about the n-th difference of a function, lurflurf posted a link on wikipedia about Newton Series. When you press his link, it re directs to the article for the Difference Operator (http://en.wikipedia.org/wiki/Difference_operator) and it was over there where I got the name "backward difference Operator" :( Perhaps it is called different things in different fields of mathematics? Or a less common name this is?

In mathematics, a difference operator maps a function, f(x), to another function, f(x + a) − f(x + b).

The forward difference operator

[tex]\Delta f(x)=f(x+1)-f(x)[/tex]

occurs frequently in the calculus of finite differences, where it plays a role formally similar to that of the derivative, but used in discrete circumstances. Difference equations can often be solved with techniques very similar to those for solving differential equations. Analogously we can have the backward difference operator

[tex]\nabla f(x)=f(x)-f(x-1)[/tex]

When restricted to polynomial functions f, the forward difference operator is a delta operator, i.e., a shift-equivariant linear operator on polynomials that reduces degree by 1.
 
Last edited:
  • #9
GoldPheonix said:
Are you from Romania?
Are you? :-p

Nope, I'm from the land of tulips and clogs - I mean, 't Hooft and van der Waals :smile:

Why does [strike]...[/strike] not work?
 

FAQ: Learn How to Pronounce cosh, sinh, and Gradient Symbols Easily

What is a pronunciation problem?

A pronunciation problem refers to difficulties or errors in correctly producing the sounds, stress, and intonation patterns of a language or a specific word.

What causes pronunciation problems?

Pronunciation problems can be caused by various factors such as native language interference, lack of exposure to the target language, physical limitations, and individual differences in speech production abilities.

How can I improve my pronunciation?

Improving pronunciation requires regular practice and feedback from a native speaker or a trained language instructor. It is also helpful to listen to and imitate native speakers, pay attention to mouth and tongue placement, and learn the phonetic rules of the target language.

Can pronunciation problems be fixed?

Yes, pronunciation problems can be improved and corrected through consistent practice and guidance from a language expert. While some individuals may have a natural aptitude for certain sounds, anyone can improve their pronunciation with effort and dedication.

Are pronunciation problems a sign of language proficiency?

No, pronunciation problems do not necessarily reflect one's overall language proficiency. It is possible to have a strong understanding of a language's grammar and vocabulary, but still struggle with pronunciation due to various factors.

Back
Top