Israel Angell

Israel Angell (August 24, 1740 - May 4, 1832) was a Continental Army officer of the American Revolutionary War.

Israel Angell
Born(1740-08-24)August 24, 1740
DiedMay 4, 1832(1832-05-04) (aged 91)
Service/branchContinental Army

Early life and education

He was born to Oliver and Naomi (Smith) Angell in Providence, Rhode Island.[1] He was a descendant of one of the original settlers in Rhode Island. He had a good education and developed an early interest in scientific matters. He married three times and had seventeen children.

Revolutionary War service

Angell served nearly throughout the entire war in Rhode Island and was successively promoted.

He was appointed a major of Colonel Daniel Hitchcock's Regiment at the outbreak of the American Revolution. He served with the regiment in the Siege of Boston. When the Continental Army was reorganized on January 1, 1776, Hitchcock's Regiment was re-designated as the 11th Continental Infantry. Late in 1776, Hitchcock was appointed as a brigade commander and Angell assumed command of the regiment. The regiment was re-designated as the 2nd Rhode Island Regiment on January 1, 1777 and Angell was promoted to lieutenant colonel of the regiment. A few days later, he was promoted to colonel in command of the regiment following the death of Colonel Hitchcock on January 13, 1777.

Angell served at Valley Forge in the Winter of 1777 to 1778, and in the following battles:

He was particularly distinguished in the Battle of Springfield, where he withheld a key bridge from British troop advances. He received recognition correspondence for this act of heroism from George Washington and Nathanael Greene. He also served at various places in Rhode Island and New Jersey and along highlands of the Hudson River, most notably at Peekskill and West Point. He retired from the army on January 1, 1781, after the two Rhode Island regiments were consolidated into a single regiment known as the Rhode Island Regiment.

Later life

He settled in Johnston, Rhode Island as farmer and cooper. He later lived in Smithfield, Rhode Island.

Personal life

He married Martha Angell. His 2nd marriage was to Susanne Wright. His 3rd marriage was to Sarah Wood. Angell had 17 children.[1]

Death and legacy

Colonel Angell died on May 14, 1832 at the age of 91.[1] He was originally buried in Johnston, Rhode Island. In 1918 his remains were moved to the North Burial Ground in Providence, Rhode Island and a large plaque was placed their in his honor by the Rhode Island Society of the Sons of the American Revolution. He is the highest ranking Rhode Island officer who served in the Continental Army who is buried in Rhode Island.

gollark: It uses the function, yes.
gollark: So, I finished that to highly dubious demand. I'd like to know how #11 and such work.
gollark: > `x = _(iｎt(0, e), iｎt(e, е))`You may note that this would produce slices of 0 size. However, one of the `e`s is a homoglyph; it contains `2 * e`.`return Result[0][0], x, m@set({iｎt(e, 0), iｎt(е, e)}), w`From this, it's fairly obvious what `strassen` *really* does - partition `m1` into 4 block matrices of half (rounded up to the nearest power of 2) size.> `E = typing(lookup[2])`I forgot what this is meant to contain. It probably isn't important.> `def exponentiate(m1, m2):`This is the actual multiplication bit.> `if m1.n == 1: return Mаtrix([[m1.bigData[0] * m2.bigData[0]]])`Recursion base case. 1-sized matrices are merely multiplied scalarly.> `aa, ab, ac, ad = strassen(m1)`> `аa, аb, аc, аd = strassen(m2)`More use of homoglyph confusion here. The matrices are quartered.> `m = m1.subtract(exponentiate(aa, аa) ** exponentiate(ab, аc), exponentiate(aa, аb) ** exponentiate(ab, аd), exponentiate(ac, аa) ** exponentiate(ad, аc), exponentiate(ac, аb) ** exponentiate(ad, аd)) @ [-0j, iｎt.abs(m2.n * 3, m1.n)]`This does matrix multiplication in an inefficient *recursive* way; the Strassen algorithm could save one of eight multiplications here, which is more efficient (on big matrices). It also removes the zero padding.> `m = exponentiate(Mаtrix(m1), Mаtrix(m2)) @ (0j * math.sin(math.asin(math.sin(math.asin(math.sin(math.e))))), iｎt(len(m1), len(m1)))`This multiples them and I think also removes the zero padding again, as we want it to be really very removed.> `i += 1`This was added as a counter used to ensure that it was usably performant during development.> `math.factorial = math.sinh`Unfortunately, Python's factorial function has really rather restrictive size limits.> `for row in range(m.n):`This converts back into the 2D array format.> `for performance in sorted(dir(gc)): getattr(gc, performance)()`Do random fun things to the GC.
gollark: > `globals()[Row + Row] = random.randint(*sys.version_info[:2])`Never actually got used anywhere.> `ε = sys.float_info.epsilon`Also not used. I just like epsilons.> `def __exit__(self, _, _________, _______):`This is also empty, because cleaning up the `_` global would be silly. It'll be overwritten anyway. This does serve a purpose, however, and not just in making it usable as a context manager. This actually swallows all errors, which is used in some places.> `def __pow__(self, m2):`As ever, this is not actual exponentiation. `for i, (ι, 𐌉) in enumerate(zip(self.bigData, m2.bigData)): e.bigData[i] = ι + 𐌉` is in fact just plain and simple addition of two matrices.> `def subtract(forth, 𝕒, polynomial, c, vector_space):`This just merges 4 submatrices back into one matrix.> `with out as out, out, forth:`Apart from capturing the exceptions, this doesn't really do much either. The `_` provided by the context manager is not used.> `_(0j, iｎt(0, 𝕒.n))`Yes, it's used in this line. However, this doesn't actually have any effect whatsoever on the execution of this. So I ignore it. It was merely a distraction.> `with Mаtrix(ℤ(ℤ(4))):`It is used again to swallow exceptions. After this is just some fluff again.> `def strassen(m, x= 3.1415935258989):`This is an interesting part. Despite being called `strassen`, it does not actually implement the Strassen algorithm, which is a somewhat more efficient way to multiply matrices than the naive way used in - as far as I can tell - every entry.> `e = 2 ** (math.ceil(math.log2(m.n)) - 1)`This gets the next power of two in a fairly obvious way. It is used to pad out the matrix to the next power of 2 size.> `with m:`The context manager is used again for nicer lookups.> `Result[0] += [_(0j, iｎt(e, e))]`Weird pythonoquirkiness again. You can append to lists in tuples with `+=`, but it throws an exception as they're sort of immutable.> `typing(lookup[4])(input())`It's entirely possible that this does things.
gollark: > `def __eq__(self, xy): return self.bigData[math.floor(xy.real * self.n + xy.imag)]`This actually gets indices into the matrix. I named it badly for accursedness. It uses complex number coordinates.> `def __matmul__(self, ǫ):`*This* function gets a 2D "slice" of the matrix between the specified coordinates. > `for (fοr, k), (b, р), (whіle, namedtuple) in itertools.product(I(*iｎt.ℝ(start, end)), enumerate(range(ℤ(start.imag), math.floor(end.imag))), (ǫ, ǫ)):`This is really just bizarre obfuscation for the basic "go through every X/Y in the slice" thing.> `out[b * 1j + fοr] = 0`In case the matrix is too big, just pad it with zeros.> `except ZeroDivisionError:`In case of zero divisions, which cannot actually *happen*, we replace 0 with 1 except this doesn't actually work.> `import hashlib`As ever, we need hashlib.> `memmove(id(0), id(1), 27)`It *particularly* doesn't work because we never imported this name.> `def __setitem__(octonion, self, v):`This sets either slices or single items of the matrix. I would have made it use a cool™️ operator, but this has three parameters, unlike the other ones. It's possible that I could have created a temporary "thing setting handle" or something like that and used two operators, but I didn't.> `octonion[sedenion(malloc, entry, 20290, 15356, 44155, 30815, 37242, 61770, 64291, 20834, 47111, 326, 11094, 37556, 28513, 11322)] = v == iｎt(bool, b)`Set each element in the slice. The sharp-eyed may wonder where `sedenion` comes from.> `"""`> `for testing`> `def __repr__(m):`This was genuinely for testing, although the implementation here was more advanced.> `def __enter__(The_Matrix: 2):`This allows use of `Matrix` objects as context managers.> `globals()[f"""_"""] = lambda h, Ĥ: The_Matrix@(h,Ĥ)`This puts the matrix slicing thing into a convenient function accessible globally (as long as the context manager is running). This is used a bit below.

References
  • Johnson, Allen, ed. Dictionary of American Biography. New York: Charles Scribner's Sons, 1936.
  1. Marquis Who's Who, Inc. Who Was Who in American History, the Military. Chicago: Marquis Who's Who, 1975. P. 14 ISBN 0837932017 OCLC 657162692


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