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Extra typos found by Ben (#41)
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* Changes to the frontal_ablation notebook

Hello,
I added Ben's suggestions and also did some editions to the text. 

Let me know if you agree

* Add files via upload

* Extra typos that Ben found

* solving conflicts
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Beatriz Recinos authored and fmaussion committed Feb 26, 2019
1 parent 0275b5e commit cd7ed4c
Showing 1 changed file with 5 additions and 5 deletions.
10 changes: 5 additions & 5 deletions notebooks/oggm-tuto/inversion_with_frontal_ablation.ipynb
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"We don't know which is the **real** value of the calving flux at this glacier. From here, let's make some very coarse assumptions:\n",
"- the Oerlemans and Nick calving law is perfectly exact\n",
"- the tuning parameter $k$ is known\n",
"- our glacier is in equilibrium (a fundamental assumption for mass-conservation inversion)\n",
"- our glacier is in equilibrium (a fundamental assumption necessary for mass-conservation inversion)\n",
"- ice deformation at the glacier terminus follows Glen's flow law\n",
"\n",
"Under these assumptions, we are now going to show, that there is **one and only one** value for the frontal thickness which complies with *both* the calving law and the ice thickness inversion model of OGGM.\n",
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"cell_type": "markdown",
"metadata": {},
"source": [
"We already know that the calving law relates the thickness to the flux with a root of degree two (blue curve). Now, what explains the shape of **the orange curve** (OR BLUE??)? It is Glen's flow law, which relates ice thickness to the flux with a 5th degree root (assuming n=3). This is the reason why there is one (and only one) non-zero solution to the problem of finding a calving flux which is compatible with both the calving law and the physics of ice deformation (under our simplified framework of course).\n",
"We already know that the calving law relates the thickness to the flux with a root of degree two (blue curve). Now, what explains the shape of **the orange curve**?. It is Glen's flow law, which relates ice thickness to the flux with a 5th degree root (assuming n=3). This is the reason why there is one (and only one) non-zero solution to the problem of finding a calving flux which is compatible with both the calving law and the physics of ice deformation (under our simplified framework of course).\n",

"\n",
"Note that adding sliding doesn't change the problem (we still solve a polynome of degree 5 in OGGM, [with a new term in degree 3](https://docs.oggm.org/en/latest/ice-dynamics.html)):"
]
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"If this happens during the iteration, OGGM is going to set $\\mu^*$ to zero and computes the corresponding flux (the maximal physically possible value). In this case, the calving law and OGGM disagree:"
]
"source": ["If this happens during the iteration, OGGM is going to set $\\mu^*$ to zero and computes the corresponding flux (the maximal physically possible value). In this case, the calving law and OGGM disagree:"
]
},
{
"cell_type": "code",
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