Automatically Tuned Linear Algebra Software

I do not generally mention myself. I delight in sharing remarkable content with others. I also wish to examine the online market place for the reason that I believe you will find a great deal to see out there. When I am within the net.
|
My name: Darrin Eastman
My age: 29
Country: Iceland
City: Fljot
Postal code: 570
Address: Reykjarholi 74
|
My name is Darrin Eastman. I life cell phone repair in elk grove village Fljot (Iceland).
|
I’m Darrin from Fljot studying Economics. I did my schooling, secured 90% and hope to find someone with same interests in Painting.
|
I like my hobby Painting.
I to learn German in my spare time.
|
My name is Darrin (50 years old) and my hobbies are American football and Running.
|
Hello, dear friend! My name is Darrin. I smile that I can unify to the entire world. I live in Iceland, in the region. I dream to see the various countries, to look for familiarized with appealing individuals.
|
I'm Darrin (20) from Fljot, Iceland.
I'm learning German literature at a local university and I'm just about to graduate.
I have a part time job in a backery.
|
Hi!
My name is Darrin and I'm a 21 years old boy from Iceland.
|
Hello! My name is Darrin.
It is a little about myself: I live in Iceland, my city of Fljot.
It's called often Northern or cultural capital of . I've married 3 years ago.
I have 2 children - a son (Dick) and the daughter (Ashely). We all like Painting.
|
Hello!
I'm German female ;=).
I really love Painting!
|
Hello from Iceland. I'm glad to came across you. My first name is Darrin.
I live in a small city called Fljot in south Iceland.
I was also born in Fljot 22 years ago. Married in March year 2012. I'm working at the backery.
|
My name's Darrin Eastman but everybody calls me Darrin. I'm from Iceland. I'm studying at the university (1st year) and I play the Mandolin for 6 years. Usually I choose music from the famous films ;).
I have two brothers. I like Amateur geology, watching movies and RC cars.
|
I'm a 38 years old and work at the university (Economics).
In my free time I try to teach myself German. I've been twicethere and look forward to go there anytime soon. I like to read, preferably on my ebook reader. I really love to watch 2 Broke Girls and Supernatural as well as documentaries about anything astronomical. I love Painting.
|
I'm Darrin and I live in Fljot.
I'm interested in Economics, Painting and German art. I like travelling and watching Grey's Anatomy.
|
I'm Darrin and I live with my husband and our 2 children in Fljot, in the south area. My hobbies are Collecting cards, Skiing and Tennis.
|
Hello, I'm Darrin, a 17 year old from Fljot, Iceland.
My hobbies include (but are not limited to) Cubing, Water sports and watching Grey's Anatomy.
|
Hi there! :) My name is Darrin, I'm a student studying Economics from Fljot, Iceland.
|
I'm Darrin and I live in a seaside city in northern Iceland, Fljot. I'm 34 and I'm will soon finish macbook repair hoffman estates my study at Economics.
|
I am Darrin from Fljot. I love to play Mandolin. Other hobbies are Painting.
|
I am Darrin and was born on 27 March 1982. My hobbies are Lapidary and Machining.
|
My name is Darrin and I am studying Educational Studies and Art at Fljot / Iceland.
}

my blog post ipad repair hanover park The Hammett acidity function (H₀) is a measure of acidity that is used for very concentrated solutions of strong acids, including superacids. It was proposed by the physical organic chemist Louis Plack Hammett and is the best-known acidity function used to extend the measure of Brønsted-Lowry acidity beyond the dilute aqueous solutions for which the pH scale is useful.

In highly concentrated solutions, simple approximations such as the Henderson-Hasselbalch equation are no longer valid due to the variations of the activity coefficients. The Hammett acidity function is used in fields such as physical organic chemistry for the study of acid-catalyzed reactions, because some of these reactions use acids in very high concentrations, or even neat (pure).

Definition

The Hammett acidity function, H₀, can replace the pH in concentrated solutions. It is defined using an equation analogous to the Henderson-Hasselbalch equation:

$H_0=\text{p}{K}_{B{H}^{+}}+\log \frac{[B]}{[B{H}^{+}]}$

where log(x) is the common logarithm of x, and pK_BH⁺ is −log(K) for the dissociation of BH⁺, which is the conjugate acid of a very weak base B, with a very negative pK_BH⁺. In this way, it is rather as if the pH scale has been extended to very negative values. Hammett originally used a series of anilines with electron-withdrawing groups for the bases.

Hammett also pointed out the equivalent form

$H_0=-\log \left(a_{H^{+}}\frac{{\gamma }_B}{{\gamma }_{B{H}^{+}}}\right)$

where a is the activity, and the γ are thermodynamic activity coefficients. In dilute aqueous solution (pH 0-14) the predominant acid species is H₃O⁺ and the activity coefficients are close to unity, so H₀ is approximately equal to the pH. However beyond this pH range, the effective hydrogen-ion activity changes much more rapidly than the concentration. This is often due to changes in the nature of the acid species; for example in concentrated sulfuric acid, the predominant acid species ("H+") is not H₃O⁺ but rather H₃SO₄⁺ which is a much stronger acid. The value H₀ = -12 for pure sulfuric acid must not be interpreted as pH = -12 (which would imply an impossibly high H₃O⁺ concentration of 10⁺¹² mol/L in ideal solution). Instead it means that the acid species present (H₃SO₄⁺) has a protonating ability equivalent to H₃O⁺ at a fictitious (ideal) concentration of 10¹² mol/L, as measured by its ability to protonate weak bases.

Although the Hammett acidity function is the best known acidity function, other acidity functions have been developed by authors such as Arnett, Cox, Katrizky, Yates, and Stevens.

Typical values

On this scale, pure H₂SO₄ (18.4 M) has a H₀ value of −12, and pyrosulfuric acid has H₀ ~ −15. Take note that the Hammett acidity function clearly avoids water in its equation. It is a generalization of the pH scale—in a dilute aqueous solution (where B is H₂O), pH is very nearly equal to H₀. By using a solvent-independent quantitative measure of acidity, the implications of the leveling effect are eliminated, and it becomes possible to directly compare the acidities of different substances (e.g. using pK_a, HF is weaker than HCl or H₂SO₄ in water but stronger than HCl in glacial acetic acid; and pure HF is "stronger" than H₂SO₄ because the H₀ of pure HF is higher than that of pure H₂SO₄.)

H₀ for some concentrated acids:Potter or Ceramic Artist Truman Bedell from Rexton, has interests which include ceramics, best property developers in singapore developers in singapore and scrabble. Was especially enthused after visiting Alejandro de Humboldt National Park.

• Fluoroantimonic acid (1990): −31.3
• Magic acid (1974): −19.2
• Carborane superacid (1969): −18.0
• Fluorosulfuric acid (1944): −15.1
• Triflic acid (1940): −14.1
• Chlorosulfuric Acid (1978): -12.78
• Sulfuric acid: −12.0

For mixtures (e.g., partly diluted acids in water), the acidity function depends on the composition of the mixture and has to be determined empirically. Graphs of H₀ vs mole fraction can be found in the literature for many acids.