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+++++++++++++++++++++++++++++++ | |
[system] | |
------------------------------- | |
<Instructions> | |
Find a solution to the provided mathematical problem. The answer is a unique mathematical expression presented in LaTeX `\boxed{}` directive. (example: `\boxed{4}` or `\boxed{3\pi}`). Formatting instructions: fractions should be represented in the LaTeX form `\frac{a}{b}` (not `\frac12`), units should not be included, square roots should be presented in the LaTeX form `\sqrt{c}` (not `\sqrt2`), all spaces and non critical parentheses or formatting should be stripped, rational numbers should be presented with a leading `0`. | |
Provide a reasoning consisting in multiple steps, using one line per step. A reasoning step is one coherent step of mathematical reasoning. It should hold in one line of at most 500 characters. If an answer is reached as part of the reasoning, it should be included in the reasoning step using the `\boxed{}` directive. Don't use the `\boxed{}` directive for anything else than the answer. | |
--- | |
You are an |
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>> How come electricity signal goes to speed of light? What makes the electrons' wave transmit so | |
fast along a cable? | |
It's a common misconception that electricity or an electrical signal travels at the speed of light. | |
While it's true that electrical signals can travel very fast, they do not reach the speed of light. | |
The speed at which an electrical signal propagates through a conductor like a copper wire or an | |
optical fiber cable is influenced by various factors, such as the material's properties and the | |
surrounding medium. | |
When a voltage is applied to a conductor, the electric field created causes the electrons in the |
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/- | |
Copyright (c) 2021 OpenAI. All rights reserved. | |
Released under Apache 2.0 license as described in the file LICENSE. | |
Authors: Kunhao Zheng, Kudzo Ahegbebu, Stanislas Polu, David Renshaw, OpenAI GPT-f | |
-/ | |
import minif2f_import | |
open_locale big_operators | |
open_locale nat | |
open_locale real |
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n() { | |
if [ $1="today" ]; | |
then | |
$EDITOR ~/notes/`date +%y%m%d` | |
else | |
$EDITOR ~/notes/"$*" | |
fi | |
} | |
nls() { | |
ls -c ~/notes/ | grep "$*" |
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# Register `p=T |- p=T` | |
> RegisterTheoremRequest { | |
theorem { | |
hypotheses: "(a (a (c (fun (bool) (fun (bool) (bool))) =) (v (bool) p)) (c (bool) T))" | |
conclusion: "(a (a (c (fun (bool) (fun (bool) (bool))) =) (v (bool) p)) (c (bool) T))" | |
tag: THEOREM | |
fingerprint: 4307889383570985746 | |
} | |
} | |
< RegisterTheoremResponse { |
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package main | |
import ( | |
"flag" | |
"fmt" | |
"log" | |
"github.com/stellar/go-stellar-base/build" | |
"github.com/stellar/go-stellar-base/horizon" | |
"github.com/stellar/go-stellar-base/keypair" |
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(function($, cb_) { | |
var r = { | |
pay: 0, | |
insights: 0, | |
only_one: 0, | |
total: 0, | |
morethan5: 0, | |
betwen2and5: 0 | |
} |
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(function($, cb_) { | |
var r = { | |
pay: 0, | |
insights: 0, | |
only_one: 0, | |
total: 0 | |
} | |
$.forEach(function(u) { | |
if(u['Payer ID'].length > 0 && u['Payer ID'].toLowerCase() !== 'free') { | |
r.pay++; |
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# Copyright (c) 2012 The Chromium Authors. All rights reserved. | |
# Use of this source code is governed by a BSD-style license that can be | |
# found in the LICENSE file. | |
# IMPORTANT: | |
# Please don't directly include this file if you are building via gyp_chromium, | |
# since gyp_chromium is automatically forcing its inclusion. | |
{ | |
# Variables expected to be overriden on the GYP command line (-D) or by | |
# ~/.gyp/include.gypi. |
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DEBUG: [2013-05-18T11:00:37.805Z] DEBUG: vt#set_cursor_position 0 0 | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: move_to: 0 0 true | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: \x1b[57;1H | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: vt#set_cursor_position 0 56 | |
[28834:0518/130037:INFO:CONSOLE(235)] "[2013-05-18T11:00:37.805Z] {set_scroll_region} 0 - 56", source: /home/spolu/src/breach/lib/common.js (235) | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: move_to: 0 56 true | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: vt#set_cursor_column 0 | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: move_to: 0 56 true | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: vt#form_feed | |
DEBUG: [2013-05-18T11:00:37.806Z] DEBUG: move_to: 0 57 undefined |
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