ATS SDS 045-l0-180-3000-tt
十九世紀(jì)簡直就是幾何學(xué)的大爆發(fā)時(shí)代。歐幾里得之后的近兩千年來，龐塞萊特（Poncelet）構(gòu)造了投影幾何，高斯（Gauss）、波利亞伊（Galys）和洛巴切夫斯基（Lobachevsky）構(gòu)造了雙曲線幾何，而黎曼（Riemann）構(gòu)造了橢圓幾何。
克萊因的Erlangen program（埃爾蘭根綱領(lǐng)）的突破性體現(xiàn)在研究幾何學(xué)時(shí)運(yùn)用了結(jié)構(gòu)的對稱性。克萊因采用群論的形式來定義此類轉(zhuǎn)換，并采用群及其子群的層次結(jié)構(gòu)來分類由此產(chǎn)生的不同幾何形狀。
因此，剛性運(yùn)動(dòng)會(huì)產(chǎn)生傳統(tǒng)的歐幾里得幾何，而仿射或投影變換分別產(chǎn)生仿射和投影幾何。
Erlangen program不僅對幾何和數(shù)學(xué)影響非常深遠(yuǎn)，同時(shí)也影響了物理領(lǐng)域，對稱性可以從第一原理推導(dǎo)守恒律，即Noether定理。
經(jīng)過幾十年的發(fā)展，直到楊振寧和米爾斯在1954年提出的規(guī)范不變性的概念的廣義形式證明了這一基本原理，成功地統(tǒng)一了除重力以外的所有自然基本力。
這種標(biāo)準(zhǔn)模型已經(jīng)描述了我們目前所知道的所有物理學(xué)知識。
所以啊，還是諾貝爾獎(jiǎng)得主物理學(xué)家菲利普·安德森（Philip Anderson）的話說得好：
“it is only slightly overstating the case to say that physics is the study of symmetry.”
“說物理學(xué)本質(zhì)上就是研究對稱性的，這只是有點(diǎn)夸大其詞了。”
目前深度學(xué)習(xí)領(lǐng)的現(xiàn)狀和19世紀(jì)的幾何情況的類似：
一方面，在過去的十年中，深度學(xué)習(xí)帶來了數(shù)據(jù)科學(xué)的一場革命，并完成了許多以前被認(rèn)為無法實(shí)現(xiàn)的任務(wù)：無論是計(jì)算機(jī)視覺，語音識別，自然語言翻譯，還是下圍棋。
另一方面，現(xiàn)在存在一個(gè)針對不同類型數(shù)據(jù)的不同神經(jīng)網(wǎng)絡(luò)體系結(jié)構(gòu)的“動(dòng)物園”，但統(tǒng)一的原理很少。這樣很難理解不同方法之間的關(guān)系，也導(dǎo)致相同概念的多次發(fā)明和資源的浪費(fèi)。
ATS SDS 045-l0-180-3000-tt REXROTH INDRAMAT DSC3.1-030-115 SERVO CONTROLLER 115V
REXROTH INDRAMAT DSC3.1-100-115 SERVO CONTROLLER AC
REXROTH INDRAMAT DSC31100115V DRIVE
REXROTH INDRAMAT DSC3.1-150-115 SERVO CONTROLLER
REXROTH INDRAMAT DSC3.1-150-115V SERVO CONTROLLER
REXROTH INDRAMAT DSI-1 COMMUNICATIONS MODULE
REXROTH INDRAMAT DSM02.1-FE MODULE
REXROTH INDRAMAT DSM02.1FW MODULE
REXROTH INDRAMAT DSM02.3-FW MODULE PARAMETER/SOFTWARE
REXROTH INDRAMAT DSM2.1-A11-01.RS PERSONALITY MODULE
REXROTH INDRAMAT DSM2.1-E11-01.RS MODULE
REXROTH INDRAMAT DSM-2.1-FW MODULE
REXROTH INDRAMAT DSM2.1-LNS-0.1RS MODULE
REXROTH INDRAMAT DSM2.1-S11-01.RS MODULE
REXROTH INDRAMAT DSM2.1-SSE-02V07 PERSONALITY MODULE
REXROTH INDRAMAT DSM2.1-SSE-02V08-MS MODULE
REXROTH INDRAMAT DSS01.3 MODULE
REXROTH INDRAMAT DSS01.3-FW MODULE
REXROTH INDRAMAT DSS02.1 INTERFACE MODULE SERCOS
REXROTH INDRAMAT DSS021M CIRCUIT CARD
REXROTH INDRAMAT DSS1 INTERFACE BOARD
REXROTH INDRAMAT DSS1/02-01.03/02-854F Item
REXROTH INDRAMAT DSS1.1 INTERFACE BOARD
REXROTH INDRAMAT DSS-1.3 SERCOS INTERFACE CARD
REXROTH INDRAMAT DZF03.1 SERIAL CARD
REXROTH INDRAMAT E01-DDS2 CONNECTOR KIT/CABLE
REXROTH INDRAMAT E03-TVD CONNECTOR KIT/CABLE
REXROTH INDRAMAT E03-TVD-CONNECTOR-KIT CONNECTOR KIT 245870 E03-TVD
REXROTH INDRAMAT E-15-DDS2 ELECTRICAL KIT KVR-DDS2
REXROTH INDRAMAT E3-DDS2 CONNECTOR KIT/CABLE
REXROTH INDRAMAT E-3-KVR1 ELECTRICAL KIT
REXROTH INDRAMAT E9047 PART
REXROTH INDRAMAT ELS PROGRAMMER
REXROTH INDRAMAT EXPEDITE UNIT
REXROTH INDRAMAT FWA-CLM1.3-LA1-03VRS-MS SERVO DRIVE
REXROTH INDRAMAT FWADAX03ELS MODULE
REXROTH INDRAMAT FWADIAX02DLA03VR FIRMWARE MOD
REXROTH INDRAMAT FWADIAX02SSE02VRS-MS PERSONALITY MODULE
REXROTH INDRAMAT FWADIAX02-SSE-0-XVRS-MS PERSONALITY MODULE
REXROTH INDRAMAT FWADIAX03-SHS-02VRS-MS PERSONALITY MODULE
REXROTH INDRAMAT FWADIAX04ELS05VR SERVO CONTROL
REXROTH INDRAMAT FWAECODR3FGP02VR UPGRADE
REXROTH INDRAMAT FWAECODR3FGP03VR FIRMWARE MOD
REXROTH INDRAMAT FWAECODR3SGP01VR GENERAL PURPOSE FIRMWARE
REXROTH INDRAMAT FWAECODR3SMT01VR SOFTWARE
REXROTH INDRAMAT FWAECODR3SMT02VR FIRMWARE FOR MACHINE TOOL APPLICATION
REXROTH INDRAMAT FWAECODRIVEASE FIRMWARE MOD
REXROTH INDRAMAT FWAECODRVASE02VR FIRMWARE MOD
REXROTH INDRAMAT FWA-PPCR0-GV1-08VRS-MS PERSONALITY MODULE
REXROTH INDRAMAT FWC-DSM02.1-ASE-02V04-MS MODULE
REXROTH INDRAMAT FWCDSM21C1102VRS FIRMWARE MOD FWCDSM21C1102VRSMS
REXROTH INDRAMAT FWC-PSM01-GP-08VRS-MS-FLASH CONTROLLER PPC-R01.2
REXROTH INDRAMAT GTM060-NN-1-010A02 GEARBOX PLANETARY RATIO 10:1
REXROTH INDRAMAT HBE032W030N SERVO DRIVE
REXROTH INDRAMAT HDD022W040NHD320 SERVO CONTROL
REXROTH INDRAMAT HDS02.2-W040N SERVO DRIVE MODULE 37AMP 530-370VDC
REXROTH INDRAMAT HDS022W040NHS120 SERVO CONTROL
REXROTH INDRAMAT HDS02.2-W040N-HS32-01-FW DRIVE HI PRECISION 40AMP AIR COOL W/BLOWER
REXROTH INDRAMAT HDS03.2-W075N-HS30-01-FW DRIVE HI PRECISION 75AMP AIR COOL W/BLOWER
REXROTH INDRAMAT HDS03.2-W100N-HS32-01-FW SERVO DRIVE
REXROTH INDRAMAT HDS04.1-W200N-HS12-01-FW DRIVE DIGITAL SINGLE AXIS 200A AIR COOLED
REXROTH INDRAMAT HDS04.2-W200N-HA SERVO CONTROL
REXROTH INDRAMAT HDS04.2-W200N-HA01-01-FW SERVO DRIVE SINGLE AXIS 200AMP
REXROTH INDRAMAT HDS04.2-W200N-HS32-01-FW SERVO DRIVE
REXROTH INDRAMAT HSM01.1-FW MEMORY CARD
REXROTH INDRAMAT HVE-02.2W018N SERVO POWER SUPPLY MODULE
REXROTH INDRAMAT HVE03.2-W030N POWER SUPPLY 30KW
REXROTH INDRAMAT HZK02.1-W003N CAPACITOR MODULE
REXROTH INDRAMAT IK50315-05 CABLE 5 METER
REXROTH INDRAMAT IK50610-15 CABLE 15 METER
REXROTH INDRAMAT IKB0003 CABLE
REXROTH INDRAMAT IKG0002-25 CABLE 25 METER
REXROTH INDRAMAT IKG0012-13 CABLE 13 METER
REXROTH INDRAMAT IKG0012-15 CABLE 15 METER
REXROTH INDRAMAT IKG0012-25 CABLE 25 METER
REXROTH INDRAMAT IKG0022-13 CABLE 13 METER
REXROTH INDRAMAT IKG0022-22 CABLE 22 METER
REXROTH INDRAMAT IKG-00225 CABLE 25 METER
REXROTH INDRAMAT IKG0022-8 CABLE 8 METER
REXROTH INDRAMAT IKG0042-17 CABLE 17 METER
REXROTH INDRAMAT IKG0042-20 CABLE 20 METER
REXROTH INDRAMAT IKG-0062-10 CABLE 10 METER
REXROTH INDRAMAT IKG0062-27 CABLE 27 METER
REXROTH INDRAMAT IKG0122-25 CABLE 25 METER
REXROTH INDRAMAT IKG0142-17 CABLE 17 METER
REXROTH INDRAMAT IKG0142-19 CABLE 19 METER
REXROTH INDRAMAT IKG0150-6 CABLE DRIVE TO 2AD132C AND 2AD100D MOTORS 6METER
REXROTH INDRAMAT IKG0150-9 CABLE DRIVE TO 2AD132C MOTOR 9METER
REXROTH INDRAMAT IKG4009/011.0 CABLE MOTOR POWER 11METER
REXROTH INDRAMAT IKG4013-15 CABLE W/TERM STRIP FOR LIQUID COOLED MOTOR 15M
REXROTH INDRAMAT IKG402001500 CABLE
REXROTH INDRAMAT IKG40200500 CABLE
REXROTH INDRAMAT IKG4055/014.0 CABLE 14METER
REXROTH INDRAMAT IKG4060/016.0 CABLE MOTOR POWER 16METER
REXROTH INDRAMAT IKG4064-15 CABLE 15 METER
REXROTH INDRAMAT IKG4067/010.00 CABLE MOTOR POWER 10METER 278984
REXROTH INDRAMAT IKG409020M CABLE
REXROTH INDRAMAT IKG4103/020.0 CABLE SERVO FEEDBACK 20 METER
REXROTH INDRAMAT IKG4107-05.0 CABLE
REXROTH INDRAMAT IKG-414415 CABLE 15 METER
REXROTH INDRAMAT IKL0001 CABLE 18.5 METER
REXROTH INDRAMAT IKL001P CONNECTOR KIT/CABLE
REXROTH INDRAMAT IKL0021/5.00 SERVO MOTOR CABLE
REXROTH INDRAMAT IKL0022 MOTOR CABLE
REXROTH INDRAMAT IKL0041P CONNECTOR KIT/CABLE
REXROTH INDRAMAT IKL0042P CONNECTOR KIT/CABLE
REXROTH INDRAMAT IKL0061P CONNECTOR KIT CABLE
REXROTH INDRAMAT IKL0083 CABLE ASSEMBLY 3.5 METERS
REXROTH INDRAMAT IKL0104-02.5 MOTOR CABLE
REXROTH INDRAMAT IKL0121P CONNECTOR KIT/CABLE
REXROTH INDRAMAT IKL0130 CABLE ASSEMBLY
REXROTH INDRAMAT IKL-0141 CABLE ASSEMBLY 2 METERS
REXROTH INDRAMAT IKL-0141/02.5 CABLE CNC SERVO DRIVE 2.5 METERS
REXROTH INDRAMAT IKL-0143/06.0 CABLE CNC SERVO DRIVE 6 METERS
REXROTH INDRAMAT IKL-0221 CABLE ASSEMBLY 2 METERS
REXROTH INDRAMAT IKS-0231 CABLE ASSEMBLY 4 METERS
REXROTH INDRAMAT IKL-0238/06.0 CABLE CNC SERVO DRIVE 6 METERS
REXROTH INDRAMAT IKL-0238/10.0 CABLE CNC SERVO DRIVE 10 METERS
REXROTH INDRAMAT IKL103/05.0 CABLE 5M DDC TO C MOTOR POWER
REXROTH INDRAMAT IKL-143 CABLE CNC SERVO DRIVE 6/7 METERS LONG
REXROTH INDRAMAT IKL221 CABLE
REXROTH INDRAMAT IKO0982030 FIBER OPTIC CABLE 0.3
REXROTH INDRAMAT IKO-0985/6M FIBER OPTIC CABLE
REXROTH INDRAMAT IKO-982/0.25 CABLE FIBER OPTIC
REXROTH INDRAMAT IKO985/6M CABLE FIBER OPTIC 6 METERS
REXROTH INDRAMAT IKS0025 CABLE ASSEMBLY 18.5M
REXROTH INDRAMAT IKS0036 CABLE ASSEMBLY 3.1 METERS
REXROTH INDRAMAT IKS0061 CABLE 5M
REXROTH INDRAMAT IKS0099 DRIVE CABLE 2M
REXROTH INDRAMAT IKS-0099/03.0 CABLE ASSEMBLY 3 METER LENGTH
REXROTH INDRAMAT IKS0103P CONNECTOR KIT/CABLE
REXROTH INDRAMAT IKS0123-002.0 DRIVE CABLE 2M
REXROTH INDRAMAT IKS-0123/03.0 CABLE 3 METER
REXROTH INDRAMAT IKS0200-7 CABLE 7 METER
REXROTH INDRAMAT IKS0214/006.0 CABLE I/O CONTROL 6METER
REXROTH INDRAMAT IKS-0251 CABLE ASSEMBLY 23 METERS
REXROTH INDRAMAT IKS02510200 CABLE
REXROTH INDRAMAT IKS-0251-34.0 CABLE ASSEMBLY 34 METERS MOTOR FEEDBACK
REXROTH INDRAMAT IKS-02517 CABLE 7 METER
REXROTH INDRAMAT IKS-0257 CABLE ASSEMBLY 3.1 METERS
REXROTH INDRAMAT IKS0311 CABLE ASSEMBLY
REXROTH INDRAMAT IKS0315 CABLE ASSEMBLY
REXROTH INDRAMAT IKS0374-005 FEEDBACK CABLE 5M
REXROTH INDRAMAT IKS0374/055.0 CABLE
REXROTH INDRAMAT IKS0540 CABLE ASSEMBLY 2 METERS
REXROTH INDRAMAT IKS-0548 CABLE ASSEMBLY 23 METERS
REXROTH INDRAMAT IKS0580 CABLE ASSEMBLY 2 METERS
REXROTH INDRAMAT IKS083/03.0 CABLE DDC NC INTERFACE 3METER
REXROTH INDRAMAT IKS251-007 CABLE ASSEMBLY 7.0 METERS
REXROTH INDRAMAT IKS374/20.0 CABLE MOTOR FEEDBACK 20METER
REXROTH INDRAMAT IKS4013/10.0 CABLE MOTOR FEEDBACK 10METER
REXROTH INDRAMAT IKS410301500 CABLE
REXROTH INDRAMAT IKS41030500 CABLE
REXROTH INDRAMAT IKS4374/016.0 CABLE MOTOR FEEDBACK 16METER
REXROTH INDRAMAT IKS540 CABLE
REXROTH INDRAMAT IKS580 CABLE
REXROTH INDRAMAT INK0667 CABLE
REXROTH INDRAMAT INK206 CABLE
REXROTH INDRAMAT INS0103L01 CONNECTOR
REXROTH INDRAMAT KD23 LINE REACTOR 0.38MH 30AMP 50/60HZ
REXROTH INDRAMAT KD-27-D INDUCTOR 0.70MH 045AMPS 20.0UF 500V
REXROTH INDRAMAT KD30 COMMUTATIOIN CHOKE
REXROTH INDRAMAT KDA1.1-100-300-W1/220 BLOWER
REXROTH INDRAMAT KDA1.1-100-3-W1/115 SERVO CONTROLLER
REXROTH INDRAMAT KDA1.1-150-300-W1 SERVO DRIVE
REXROTH INDRAMAT KDA2.1-150-3-A00-W1-220 SERVO SPINDLE DRIVE 300VDC OUT 150AMP
REXROTH INDRAMAT KDA320503A0SW1 SERVO
REXROTH INDRAMAT KDA3.2-050-3-AP0-U1 AC MAINSPINDLE SERVO DRIVE
REXROTH INDRAMAT KDA3.2-050-3-APO-V1 SERVO DRIVE
REXROTH INDRAMAT KDA3.2-050-3-DPO-W1 SERVO DRIVE 300VDC BUS 50AMP 16BIT PARALLEL COMM
REXROTH INDRAMAT KDA321003A00W1 SERVO DRIVE
REXROTH INDRAMAT KDA3.2-100-3-AOO-U1 SERVO DRIVE 300VDC BUS 100AMP PLUS-NEG 10V CMD
REXROTH INDRAMAT KDA3.2-100-3-AOO-W1 SERVO DRIVE
REXROTH INDRAMAT KDA3.2-100-3-DPD-W1 SERVO DRIVE 300VDC BUS 100AMP 16BIT PARALLEL COMM
REXROTH INDRAMAT KDA3.3-150-3-A01-W1 SERVO DRIVE
REXROTH INDRAMAT KDF1.1-050-300-W1/115 DRIVE SPINDLE VARIABLE FREQUENCY
REXROTH INDRAMAT KDF1.1-150-300-W1/115 DRIVE SPINDLE VARIABLE FREQUENCY
REXROTH INDRAMAT KDF1.2-050-300-W1/115 DRIVE SPINDLE VARIABLE FREQUENCY
REXROTH INDRAMAT KDF1.2-100-300-W1/115 SERVO DRIVE MODULE
REXROTH INDRAMAT KDF1.2-150-300-W1-115 SERVO DRIVE MODULE
REXROTH INDRAMAT KDS1.1-100-300/115 SERVO CONTROLLER
REXROTH INDRAMAT KDS1.1-100-300-W1 SERVO DRIVE
REXROTH INDRAMAT KDS1.1-100-300/W1/115 AMPLIFIER MODULE
REXROTH INDRAMAT KDS1.1-150-300-W1-115 SERVO AMPLIFIER MODULE
REXROTH INDRAMAT KDS1.1-150-300-W1/220 SERVO AMPLIFIER MODULE
REXROTH INDRAMAT KDS1.1-50-300-W1 SERVO DRIVE
REXROTH INDRAMAT KDS1.1-50-300-W1/115 SERVO DRIVE 50AMP CONTINOUS W/115VAC BLOWER
REXROTH INDRAMAT KDS1.3-100-300-W1 AMPLIFIER MODULE
REXROTH INDRAMAT KDV1.1-100-200/300-W1/115 POWER SUPPLY
REXROTH INDRAMAT KDV1.2-100-220/300-115 DULE POWER SUPPLY SERVO DRIVE
REXROTH INDRAMAT KDV1.2-100-220/300-W1-115 MODULE POWER SUPPLY SERVO DRIVE
REXROTH INDRAMAT KDV1.3-100-200/300-220 POWER SUPPLY
REXROTH INDRAMAT KDV1.3-100-200/300-U1 POWER SUPPLY MODULE 115VAC
REXROTH INDRAMAT KDV1.3-100-200/300-W1/115/220 POWER SUPPLY
REXROTH INDRAMAT KDV1.3-100-220 CONTROLLER
REXROTH INDRAMAT KDV1.3-100-220/300 POWER SUPPLY
REXROTH INDRAMAT KDV1.3-100-220/300-115 SERVO POWER SUPPLY MODULE
REXROTH INDRAMAT KDV1.3-100-220/300-U1 SERVO POWER SUPPLY MODULE
REXROTH INDRAMAT KDV1.3-100-220/300-W1/115/220 POWER SUPPLY
REXROTH INDRAMAT KDV1.3-12-300-220/300-115 SERVO POWER SUPPLY
REXROTH INDRAMAT KDV2.3-100-220/300-000 POWER SUPPLY 100AMP 220VAC 300VDC BUS
REXROTH INDRAMAT LEEB01-00 SLOT FILLER
REXROTH INDRAMAT LEM-AB112X121 FAN ASSEMBLY
REXROTH INDRAMAT LEM-AB112X241 SERVO MOTOR
REXROTH INDRAMAT LEMD-AB112X1L1 FAN FOR COOLING AXIAL
REXROTH INDRAMAT LEMDRB071B2XX FAN
REXROTH INDRAMAT LEMH-RB090X2L1 FAN & HOUSING FOR MKD 090 120V
REXROTH INDRAMAT M41053 BRAKING UNIT
REXROTH INDRAMAT M70395 COIL ASSEMBLY
REXROTH INDRAMAT MAC-0250-0-QS-4-E/040-B-0/WI652LV/S001 SERVO MOTOR
REXROTH INDRAMAT MAC025A-0-WS-4-E/040-B-1/W1652LV/S001 SERVO MOTOR 10K RPM TACH-ENCODER W/BRAKE
REXROTH INDRAMAT MAC063B0JS MOTOR
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