The resolution of mathematics problems is easier when you have the right resources. But what are the right resources? The answer depends on who you are, what you are trying to achieve, and why.
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Ok, it's time for a #FUNctionalAnalysis thread! Let's talk about Hilbert spaces. (I hope you like linear algebra, because that's what we're
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
— syzygay (@syzygay1) August 9, 2020
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
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Speech Delay is most common in children nowadays
In ancient times, our grandparents used to follow typical natural way of caring the needs of a child. All they used were more of natural products than chemical based for the growth of child.
One of major step followed was to feed Gurbach Jadd/ Vasa Kommu/ Acorus Calamus for initiating good speech ability in a child. This stem was needed to babies on Tuesdays and Sundays in mother's milk.
Vasa is feed to baby after the 1st bath on 12th day in week. Weekly only thrice it is fed and named as :
Budhwar - Budhi Vasa
Mangalwar - Vaak Vasa
Ravi Vaar - Aayush Vasa
This stem is burnt and rubbed against the grinding stone in mother's milk or warm water to get a paste
The procedure to make it is in the link
https://t.co/uo4sGp7mUm
It should not be given daily to the child. Other main benefits are
1. It clears the phlegm in child's throat caused due to continuous milk intake. It clears the tracts and breathing is effortless.
2. Digestion
For children who haven't got their speech and is delayed than usual should feed this vasa on these days in week atleast for 6months. Don't get carried away with this dialogue
"Some gain speech little late"
In ancient times, our grandparents used to follow typical natural way of caring the needs of a child. All they used were more of natural products than chemical based for the growth of child.
One of major step followed was to feed Gurbach Jadd/ Vasa Kommu/ Acorus Calamus for initiating good speech ability in a child. This stem was needed to babies on Tuesdays and Sundays in mother's milk.
Vasa is feed to baby after the 1st bath on 12th day in week. Weekly only thrice it is fed and named as :
Budhwar - Budhi Vasa
Mangalwar - Vaak Vasa
Ravi Vaar - Aayush Vasa
This stem is burnt and rubbed against the grinding stone in mother's milk or warm water to get a paste
The procedure to make it is in the link
https://t.co/uo4sGp7mUm
It should not be given daily to the child. Other main benefits are
1. It clears the phlegm in child's throat caused due to continuous milk intake. It clears the tracts and breathing is effortless.
2. Digestion
For children who haven't got their speech and is delayed than usual should feed this vasa on these days in week atleast for 6months. Don't get carried away with this dialogue
"Some gain speech little late"