An example of such requirement is this stackoverflow thread and we shall be adapting this answer. In such a case, we need not worry about recreating the table columns what we just have to declare the needed table(s) names(s) and we will be good to go.

For the purpose of this 1 minute showcase, I have come up with a small and simplified version of a typical blog database shown below.

]]>The most basic implementation of such a scenario is shown here.

]]>The formats:

- differentiate(expression)
- differentiate(expression, var)

The variable argument may be omitted if there is only one variable in the expression, and partial differentials can be performed by specifying the intended variable.

For example,

- differentiate(sin(x)*exp(x)). will differentiate with respect to x
- differentiate(2x*y^2+3y +z, y) will yield a solution for when the function is differentiated with respect to y while other variables (x and z) are constants.

MathSend can provide solution to both definite and indefinite integrals. Formats:

- integrate(expression)
- integrate(expression, variable)
- integrate(expression, var1, var2, ...)
- integrate(expression, variable, lower_limit, upper_limit)

The variable argument may be omitted if there is only one variable in the expression, but must be specified if there is more than one (e.g x and y). Multiple integrals can also be performed by specifying the order of the variable, and for definite integrals, the lower_limit and upper_limit are required.

For example,

- integrate(3*x^4) will integrate expression with respect to x
- integrate(3*y/x^4+8yxz, y) will integrate with respect to y
- integrate(3*y/x^4+8yxz, y, x,x,z) integrates the expression four times: first with respect to y, second with respect to x, third with respect to x again, and forth with respect to z.
- integrate(3*y/x^4+8yxz, y, 0, inf) will integrate the expression with respect to y from 0 to infinity

Mathsend computes Limits to a supplied function using Gruntz heuristics and algorithm.

Formats:

- limit(expression)
- limit(expression, variable)
- limit(expression, variable, lower_limit, upper_limit)

For example: limit(x*sin(1/x), x, inf)

Asymptotic series expansions can be computed with the series keywords.

The formats:

- series(expression)
- series(expression, variable)
- series(expression, variable, lower_limit, upper_limit)

By default,`lower_limit`

= 0, and`upper_limit`

= 6

For example:

- series(sin(x)) computes the Taylor series of sin(x) up to the 6th order and it is equivalent to series(sin(x),x,0,6)
- series(sin(2x+2
*x*y^2), y, 2, 9) will compute the series with respect to y starting from the 2^{nd}to the 9^{th}.

In this post, we shall be taking a look at the following keywords:

MathSend expands any given expression by the implementation of the famous triangular representation of numbers. Though the pattern of numbers that forms Pascal's triangle was known to the Chinese well before Pascal's time, its uses were first mathematically attested to by Blaise Pascal, in his Traité du triangle arithmétique (1654), later published in 1665.

Given an expression that conforms to a form like (ax+b)^{n}
The "elementary" method is to write the expression within the bracket n times after which the brackets are then opened through multiplication.

For example, \( (2x+3)^2 = (2x+3)*(2x+3) = 4x^2+ 12x + 9 \)

But this method gets more cumbersome with increasing power (n), okay, try \( (3x-7)^9 \) within one minute and compare your answer with our console output https://mathsend.com/?expand((3x-7)^9)... That's where Pascal's triangle comes handy. You may read more about it.

The chatbot uses Pascal's triangle for expansion tasks, to expand any given expression just type in the required expression within the `EXPAND()`

keyword. You can also solve it by going to the expression direct link as all expressions have a Mathsend direct link.

For example:
\((2x+3)^2\)= mathsend.com/?expand((2*x+3)^2)

\((3x-7)^9\) = mathsend.com/?expand((3x-7)^9)

Factorization may be referred to as the decompositions of a mathematical object into the product of smaller or simpler objects. Given any polynomial expression, for a factorization operation to be referred to as successful, the resulting form must be further irreducible.

For example, to factorize \(x^4 - 3x^2 + 1\), we type factor(x^4 - 3*x^2 + 1)

whenever you only need polynomial coefficients and not the full expression, the collect keyword takes care of that. It must be noted that the reported solution will be in descending power of the variable where the missing powers are represented with zero.

For example, it's obvious that the coefficient of collect(11x^4 - 36x^3+x +3) = [11 -36 0 1 3].

Given a rational expression a/b, the cancel keyword tries to cancel-out all common factors in the supplied fraction to give an irreducible rational expression as x/y.

For example, cancel(18x/12) = 3x/2.

For any given rational function, Mathsend computes the partial fraction decomposition of the function when supplied with the apart keyword.

used to convert trigonometric expressions to their simplest and smallest reducible terms. Just as factor is to polynomial expression, the output of the operation will be the smallest irreducible form of the supplied expression.

For example: trigsimplify(sin(x)^2+cos(x)^2) = 1

It's the opposite of trigsimplify and the trigonometric counterpart the expand keyword for trigonometric function.

supplying an algebraic expression with this keyword forces MATHSEND to apply several methods to the expression in order to come up with a reasonably simplified solution.

For example: simplify(2x^2 + 3x + 4x) = x*(2*x + 7)

By default products seem to be randomly arranged; but in its real sense, the default is that products are sorted in an order that reads published>>sequence>>name. In other words:

- All product are first grouped into two fractions, the published ones comes first while the unpublished ones are pushed to the end and only shown to internal users.
- Within each fraction, products with lower sequence value comes first followed by higher ones in ascending order
- Products with the same sequence are alphabetically arranged.

From the foregoing, the easiest way may be to make sure the sequence is in the desired order. If the sequence can't be ascertained to be in the desired order then read on.

*Disclaimer:
This post is just to show how the aforestated feature can be achieved and I will be editing the actual Odoo file; generally, it is always considered a good practice
not to modify an Odoo file but through a custom module.*

That said, choose your ooperating system:

Linux

Windows

- Launch your terminal
- cd to your Odoo installation directory
- just to make sure you have the write access, do
`sudo su`

- with your preferred editor, in my own case I will be using vim, open the main.py file in the location
`addons/website_sale/controllers/main.py`

Thus, I will do`vi addons/website_sale/controllers/main.py`

search for

`url = shop`

: in vi`/url = shop`

Hit`Enter`

, then`i`

to change the mode to INSERTAfter the Matching line Sort as needed, for alphabetically ascending order do:

`if "order" not in post: post["order"]="name asc"`

Save and exit. Press Esc to change the mode Type

`:wq`

to save and exit in vimRestart the server:

`/etc/init.d/odoo restart`

Done

- Open any text editor
- open the odoo installation directory and locate
`server\odoo\addons\website_sale\controllers\main.py`

.

In my case, the path is`C:\Program Files (x86)\Odoo 12.0\server\odoo\addons\website_sale\controllers\main.py`

- search for
`url = shop`

- After the Matching line Sort as needed, for alphabetically ascending order do:
`if "order" not in post: post["order"]="name asc"`

Save and exit.

Restart the server:

- Go to services
- Search for the odoo server, mine is odoo-server-12.0
- Select an click restart in the left pane

Done

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